TSTP Solution File: SWW473+6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW473+6 : 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 : n019.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 6.38s 6.60s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW473+6 : 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 : n019.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 18:25:13 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 6.38/6.55 %-------------------------------------------
% 6.38/6.55 % File :CSE---1.6
% 6.38/6.55 % Problem :theBenchmark
% 6.38/6.55 % Transform :cnf
% 6.38/6.55 % Format :tptp:raw
% 6.38/6.55 % Command :java -jar mcs_scs.jar %d %s
% 6.38/6.55
% 6.38/6.55 % Result :Theorem 5.450000s
% 6.38/6.55 % Output :CNFRefutation 5.450000s
% 6.38/6.55 %-------------------------------------------
% 6.38/6.56 %------------------------------------------------------------------------------
% 6.38/6.56 % File : SWW473+6 : TPTP v8.1.2. Released v5.3.0.
% 6.38/6.56 % Domain : Software Verification
% 6.38/6.56 % Problem : Hoare's Logic with Procedures line 383, 500 axioms selected
% 6.38/6.56 % Version : Especial.
% 6.38/6.56 % English :
% 6.38/6.56
% 6.38/6.56 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 6.38/6.56 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 6.38/6.56 % Source : [Bla11]
% 6.38/6.56 % Names : hoare_500_fofpt_l383 [Bla11]
% 6.38/6.56
% 6.38/6.56 % Status : Theorem
% 6.38/6.56 % Rating : 0.56 v8.1.0, 0.47 v7.3.0, 0.52 v7.2.0, 0.48 v7.1.0, 0.43 v7.0.0, 0.50 v6.4.0, 0.54 v6.3.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.70 v6.0.0, 0.65 v5.5.0, 0.78 v5.4.0, 0.79 v5.3.0
% 6.38/6.56 % Syntax : Number of formulae : 609 ( 178 unt; 0 def)
% 6.38/6.56 % Number of atoms : 1485 ( 399 equ)
% 6.38/6.56 % Maximal formula atoms : 9 ( 2 avg)
% 6.38/6.56 % Number of connectives : 1027 ( 151 ~; 40 |; 54 &)
% 6.38/6.56 % ( 103 <=>; 679 =>; 0 <=; 0 <~>)
% 6.38/6.56 % Maximal formula depth : 15 ( 5 avg)
% 6.38/6.56 % Maximal term depth : 11 ( 2 avg)
% 6.38/6.56 % Number of predicates : 28 ( 27 usr; 0 prp; 1-2 aty)
% 6.38/6.56 % Number of functors : 56 ( 56 usr; 21 con; 0-4 aty)
% 6.38/6.56 % Number of variables : 1701 (1681 !; 20 ?)
% 6.38/6.56 % SPC : FOF_THM_RFO_SEQ
% 6.38/6.56
% 6.38/6.56 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 6.38/6.56 % 2011-08-09 14:26:06
% 6.38/6.56 % : Encoded with polymorphic tags.
% 6.38/6.56 %------------------------------------------------------------------------------
% 6.38/6.56 %----Explicit typings (52)
% 6.38/6.56 fof(tsy_c_COMBB_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_COMBC_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_COMBI_res,axiom,
% 6.38/6.56 ! [X_a] : ti(fun(X_a,X_a),combi(X_a)) = combi(X_a) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_COMBK_res,axiom,
% 6.38/6.56 ! [X_a,X_b] : ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b)) = combk(X_a,X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_COMBS_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Com_Obody_res,axiom,
% 6.38/6.56 ti(fun(pname,option(com)),body) = body ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ocard_res,axiom,
% 6.38/6.56 ! [X_c] : ti(fun(fun(X_c,bool),nat),finite_card(X_c)) = finite_card(X_c) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ocomp__fun__idem_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ofinite_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(fun(X_b,bool),bool),finite_finite(X_b)) = finite_finite(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ofolding__image__simple_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ofolding__one_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Finite__Set_Ofolding__one__idem_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Ominus__class_Ominus_res,axiom,
% 6.38/6.56 ! [X_c] :
% 6.38/6.56 ( minus(X_c)
% 6.38/6.56 => ti(fun(X_c,fun(X_c,X_c)),minus_minus(X_c)) = minus_minus(X_c) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Oone__class_Oone_res,axiom,
% 6.38/6.56 ! [X_b] :
% 6.38/6.56 ( one(X_b)
% 6.38/6.56 => ti(X_b,one_one(X_b)) = one_one(X_b) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Oplus__class_Oplus_0_res,axiom,
% 6.38/6.56 ! [X_a] :
% 6.38/6.56 ( monoid_add(X_a)
% 6.38/6.56 => ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a)) = plus_plus(X_a) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Oplus__class_Oplus_1_res,axiom,
% 6.38/6.56 ! [X_a] :
% 6.38/6.56 ( ab_semigroup_add(X_a)
% 6.38/6.56 => ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a)) = plus_plus(X_a) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Oplus__class_Oplus_2_res,axiom,
% 6.38/6.56 ! [X_a] :
% 6.38/6.56 ( cancel_semigroup_add(X_a)
% 6.38/6.56 => ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a)) = plus_plus(X_a) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Groups_Ozero__class_Ozero_res,axiom,
% 6.38/6.56 ! [X_b] :
% 6.38/6.56 ( zero(X_b)
% 6.38/6.56 => ti(X_b,zero_zero(X_b)) = zero_zero(X_b) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_HOL_OThe_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(fun(X_b,bool),X_b),the(X_b)) = the(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_HOL_Oundefined_res,axiom,
% 6.38/6.56 ! [X_a] : ti(X_a,undefined(X_a)) = undefined(X_a) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Nat_OSuc_res,hypothesis,
% 6.38/6.56 ti(fun(nat,nat),suc) = suc ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Nat_Onat_Onat__case_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(X_b,fun(fun(nat,X_b),fun(nat,X_b))),nat_case(X_b)) = nat_case(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Option_Othe_res,axiom,
% 6.38/6.56 ti(fun(option(com),com),the_1(com)) = the_1(com) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Orderings_Obot__class_Obot_res,axiom,
% 6.38/6.56 ! [X_c] :
% 6.38/6.56 ( bot(X_c)
% 6.38/6.56 => ti(X_c,bot_bot(X_c)) = bot_bot(X_c) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Orderings_Oord__class_Oless_res,axiom,
% 6.38/6.56 ! [X_a] :
% 6.38/6.56 ( ord(X_a)
% 6.38/6.56 => ti(fun(X_a,fun(X_a,bool)),ord_less(X_a)) = ord_less(X_a) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Orderings_Oord__class_Oless__eq_res,axiom,
% 6.38/6.56 ! [X_c] :
% 6.38/6.56 ( ord(X_c)
% 6.38/6.56 => ti(fun(X_c,fun(X_c,bool)),ord_less_eq(X_c)) = ord_less_eq(X_c) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Partial__Function_Oflat__lub_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),X_b)),partial_flat_lub(X_b)) = partial_flat_lub(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Set_OCollect_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(fun(X_b,bool),fun(X_b,bool)),collect(X_b)) = collect(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Set_Oimage_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Set_Oinsert_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),insert(X_b)) = insert(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Set_Othe__elem_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(fun(X_b,bool),X_b),the_elem(X_b)) = the_elem(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_Sum__Type_OPlus_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fFalse_res,axiom,
% 6.38/6.56 ti(bool,fFalse) = fFalse ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fNot_res,axiom,
% 6.38/6.56 ti(fun(bool,bool),fNot) = fNot ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fTrue_res,axiom,
% 6.38/6.56 ti(bool,fTrue) = fTrue ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fconj_res,axiom,
% 6.38/6.56 ti(fun(bool,fun(bool,bool)),fconj) = fconj ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fdisj_res,axiom,
% 6.38/6.56 ti(fun(bool,fun(bool,bool)),fdisj) = fdisj ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fequal_res,axiom,
% 6.38/6.56 ! [X_a] : ti(fun(X_a,fun(X_a,bool)),fequal(X_a)) = fequal(X_a) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_fimplies_res,axiom,
% 6.38/6.56 ti(fun(bool,fun(bool,bool)),fimplies) = fimplies ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_hAPP_arg1,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_hAPP_arg2,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_hAPP_res,axiom,
% 6.38/6.56 ! [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) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_hBOOL_arg1,hypothesis,
% 6.38/6.56 ! [B_1_1] :
% 6.38/6.56 ( hBOOL(ti(bool,B_1_1))
% 6.38/6.56 <=> hBOOL(B_1_1) ) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_c_member_res,axiom,
% 6.38/6.56 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),bool)),member(X_b)) = member(X_b) ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_v_G_res,hypothesis,
% 6.38/6.56 ti(fun(x_a,bool),g) = g ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_v_P_res,axiom,
% 6.38/6.56 ti(fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),p) = p ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_v_U_res,hypothesis,
% 6.38/6.56 ti(fun(pname,bool),u) = u ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_v_mgt_res,axiom,
% 6.38/6.56 ti(fun(com,x_a),mgt) = mgt ).
% 6.38/6.56
% 6.38/6.56 fof(tsy_v_mgt__call_res,hypothesis,
% 6.38/6.57 ti(fun(pname,x_a),mgt_call) = mgt_call ).
% 6.38/6.57
% 6.38/6.57 fof(tsy_v_na_res,hypothesis,
% 6.38/6.57 ti(nat,na) = na ).
% 6.38/6.57
% 6.38/6.57 fof(tsy_v_pn_res,hypothesis,
% 6.38/6.57 ti(pname,pn) = pn ).
% 6.38/6.57
% 6.38/6.57 fof(tsy_v_wt_res,axiom,
% 6.38/6.57 ti(fun(com,bool),wt) = wt ).
% 6.38/6.57
% 6.38/6.57 %----Relevant facts (497)
% 6.38/6.57 fof(fact_0_assms_I1_J,axiom,
% 6.38/6.57 ! [Ts,G_1] :
% 6.38/6.57 ( 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))
% 6.38/6.57 => hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,G_1),Ts)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_1_finite__Collect__subsets,axiom,
% 6.38/6.57 ! [X_b,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => 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)))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_2_finite__imageI,axiom,
% 6.38/6.57 ! [X_c,X_b,H,F_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_2))
% 6.38/6.57 => 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_2))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_3_finite_OinsertI,axiom,
% 6.38/6.57 ! [X_b,A_2,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => 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))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_4_card__image__le,axiom,
% 6.38/6.57 ! [X_c,X_b,F,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => 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))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_5_card__mono,axiom,
% 6.38/6.57 ! [X_b,A_3,B_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.57 => ( 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_2))
% 6.38/6.57 => 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_2))) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_6_card__seteq,axiom,
% 6.38/6.57 ! [X_b,A_3,B_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.57 => ( 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_2))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_2)),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)))
% 6.38/6.57 => ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_7_card__insert__le,axiom,
% 6.38/6.57 ! [X_b,X_1,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => 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)))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_8_card__insert__if,axiom,
% 6.38/6.57 ! [X_b,X_1,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.57 => 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) )
% 6.38/6.57 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.57 => 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)) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_9_card__insert__disjoint,axiom,
% 6.38/6.57 ! [X_b,X_1,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.57 => 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)) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_10_finite__Collect__conjI,axiom,
% 6.38/6.57 ! [X_b,Q_1,Pa] :
% 6.38/6.57 ( ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)))
% 6.38/6.57 | hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Q_1))) )
% 6.38/6.57 => 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_1)))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_11_Suc__diff__le,axiom,
% 6.38/6.57 ! [N,M] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M))
% 6.38/6.57 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),N) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_12_finite__Collect__le__nat,axiom,
% 6.38/6.57 ! [K_2] : 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_2)))) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_13_card__Collect__le__nat,axiom,
% 6.38/6.57 ! [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) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_14_finite__code,axiom,
% 6.38/6.57 ! [X_b] :
% 6.38/6.57 ( finite_finite_1(X_b)
% 6.38/6.57 => ! [A_3] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_15_finite,axiom,
% 6.38/6.57 ! [X_b] :
% 6.38/6.57 ( finite_finite_1(X_b)
% 6.38/6.57 => ! [A_3] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_16_Suc__inject,axiom,
% 6.38/6.57 ! [X,Y] :
% 6.38/6.57 ( hAPP(nat,nat,suc,X) = hAPP(nat,nat,suc,Y)
% 6.38/6.57 => X = Y ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_17_nat_Oinject,axiom,
% 6.38/6.57 ! [Nat_2,Nat_3] :
% 6.38/6.57 ( hAPP(nat,nat,suc,Nat_2) = hAPP(nat,nat,suc,Nat_3)
% 6.38/6.57 <=> Nat_2 = Nat_3 ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_18_Suc__n__not__n,axiom,
% 6.38/6.57 ! [N] : hAPP(nat,nat,suc,N) != N ).
% 6.38/6.57
% 6.38/6.57 fof(fact_19_n__not__Suc__n,axiom,
% 6.38/6.57 ! [N] : N != hAPP(nat,nat,suc,N) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_20_le__antisym,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M))
% 6.38/6.57 => M = N ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_21_le__trans,axiom,
% 6.38/6.57 ! [K,I,J_2] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),J_2))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J_2),K))
% 6.38/6.57 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),K)) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_22_eq__imp__le,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( M = N
% 6.38/6.57 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_23_nat__le__linear,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_24_le__refl,axiom,
% 6.38/6.57 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),N)) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_25_diff__commute,axiom,
% 6.38/6.57 ! [I,J_2,K] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I),J_2)),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I),K)),J_2) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_26_finite__Collect__disjI,axiom,
% 6.38/6.57 ! [X_b,Pa,Q_1] :
% 6.38/6.57 ( 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_1))))
% 6.38/6.57 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)))
% 6.38/6.57 & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Q_1))) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_27_finite__insert,axiom,
% 6.38/6.57 ! [X_b,A_2,A_3] :
% 6.38/6.57 ( 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)))
% 6.38/6.57 <=> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_28_finite__subset,axiom,
% 6.38/6.57 ! [X_b,A_3,B_2] :
% 6.38/6.57 ( 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_2))
% 6.38/6.57 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.57 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_29_rev__finite__subset,axiom,
% 6.38/6.57 ! [X_b,A_3,B_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.57 => ( 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_2))
% 6.38/6.57 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_30_Suc__leD,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M)),N))
% 6.38/6.57 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_31_le__SucE,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),hAPP(nat,nat,suc,N)))
% 6.38/6.57 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 => M = hAPP(nat,nat,suc,N) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_32_le__SucI,axiom,
% 6.38/6.57 ! [M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),hAPP(nat,nat,suc,N))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_33_Suc__le__mono,axiom,
% 6.38/6.57 ! [Na,M_1] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),hAPP(nat,nat,suc,M_1)))
% 6.38/6.57 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),M_1)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_34_le__Suc__eq,axiom,
% 6.38/6.57 ! [M_1,Na] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,suc,Na)))
% 6.38/6.57 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.57 | M_1 = hAPP(nat,nat,suc,Na) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_35_not__less__eq__eq,axiom,
% 6.38/6.57 ! [M_1,Na] :
% 6.38/6.57 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.57 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),M_1)) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_36_Suc__n__not__le__n,axiom,
% 6.38/6.57 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,N)),N)) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_37_Suc__diff__diff,axiom,
% 6.38/6.57 ! [M,N,K] : 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)),N)),hAPP(nat,nat,suc,K)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),K) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_38_diff__Suc__Suc,axiom,
% 6.38/6.57 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_39_le__diff__iff,axiom,
% 6.38/6.57 ! [Na,K_2,M_1] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),M_1))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),Na))
% 6.38/6.57 => ( 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),K_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K_2)))
% 6.38/6.57 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na)) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_40_Nat_Odiff__diff__eq,axiom,
% 6.38/6.57 ! [N,K,M] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),M))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),N))
% 6.38/6.57 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(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),N),K)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_41_eq__diff__iff,axiom,
% 6.38/6.57 ! [Na,K_2,M_1] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),M_1))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),Na))
% 6.38/6.57 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),K_2) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K_2)
% 6.38/6.57 <=> M_1 = Na ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_42_diff__diff__cancel,axiom,
% 6.38/6.57 ! [I,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),N))
% 6.38/6.57 => 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)) = I ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_43_diff__le__mono,axiom,
% 6.38/6.57 ! [L,M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 => 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),L)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),L))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_44_diff__le__mono2,axiom,
% 6.38/6.57 ! [L,M,N] :
% 6.38/6.57 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.57 => 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),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M))) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_45_diff__le__self,axiom,
% 6.38/6.57 ! [M,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),N)),M)) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_46_finite__surj,axiom,
% 6.38/6.57 ! [X_c,X_b,B_2,F,A_3] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => ( 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_2),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)))
% 6.38/6.57 => hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2)) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_47_finite__subset__image,axiom,
% 6.38/6.57 ! [X_c,X_b,F,A_3,B_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.57 => ( 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_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)))
% 6.38/6.57 => ? [C_3] :
% 6.38/6.57 ( 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))
% 6.38/6.57 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),C_3))
% 6.38/6.57 & ti(fun(X_b,bool),B_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),C_3) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_48_lift__Suc__mono__le,axiom,
% 6.38/6.57 ! [X_b] :
% 6.38/6.57 ( order(X_b)
% 6.38/6.57 => ! [Na,N_3,F] :
% 6.38/6.57 ( ! [N_2] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(nat,X_b,F,N_2)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_2))))
% 6.38/6.57 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),N_3))
% 6.38/6.57 => 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))) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_49_pigeonhole__infinite,axiom,
% 6.38/6.57 ! [X_c,X_b,F,A_3] :
% 6.38/6.57 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.57 => ( 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)))
% 6.38/6.57 => ? [X_2] :
% 6.38/6.57 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 6.38/6.57 & ~ 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)))))) ) ) ) ).
% 6.38/6.57
% 6.38/6.57 fof(fact_50_image__eqI,axiom,
% 6.38/6.57 ! [X_b,X_c,A_3,B,F,X_1] :
% 6.38/6.57 ( ti(X_b,B) = hAPP(X_c,X_b,F,X_1)
% 6.38/6.57 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B),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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_51_equalityI,axiom,
% 6.38/6.58 ! [X_b,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => ( 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_2),A_3))
% 6.38/6.58 => ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_52_subsetD,axiom,
% 6.38/6.58 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_53_insertCI,axiom,
% 6.38/6.58 ! [X_b,B,A_2,B_2] :
% 6.38/6.58 ( ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_2))
% 6.38/6.58 => ti(X_b,A_2) = ti(X_b,B) )
% 6.38/6.58 => 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),B_2))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_54_insertE,axiom,
% 6.38/6.58 ! [X_b,A_2,B,A_3] :
% 6.38/6.58 ( 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),A_3)))
% 6.38/6.58 => ( ti(X_b,A_2) != ti(X_b,B)
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_55_zero__induct__lemma,axiom,
% 6.38/6.58 ! [I_1,Pa,K_2] :
% 6.38/6.58 ( hBOOL(hAPP(nat,bool,Pa,K_2))
% 6.38/6.58 => ( ! [N_2] :
% 6.38/6.58 ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_2)))
% 6.38/6.58 => hBOOL(hAPP(nat,bool,Pa,N_2)) )
% 6.38/6.58 => hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K_2),I_1))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_56_Suc__le__D,axiom,
% 6.38/6.58 ! [N,M_3] :
% 6.38/6.58 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,N)),M_3))
% 6.38/6.58 => ? [M_2] : M_3 = hAPP(nat,nat,suc,M_2) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_57_insertI1,axiom,
% 6.38/6.58 ! [X_b,A_2,B_2] : 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_2))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_58_insert__compr,axiom,
% 6.38/6.58 ! [X_b,A_2,B_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_2) = 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_2))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_59_insert__Collect,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_60_insert__absorb2,axiom,
% 6.38/6.58 ! [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) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_61_insert__commute,axiom,
% 6.38/6.58 ! [X_b,X_1,Y_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),Y_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),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_1),A_3)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_62_insert__iff,axiom,
% 6.38/6.58 ! [X_b,A_2,B,A_3] :
% 6.38/6.58 ( 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),A_3)))
% 6.38/6.58 <=> ( ti(X_b,A_2) = ti(X_b,B)
% 6.38/6.58 | hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_63_insert__code,axiom,
% 6.38/6.58 ! [X_b,Y_1,A_3,X_1] :
% 6.38/6.58 ( 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_1),A_3),X_1))
% 6.38/6.58 <=> ( ti(X_b,Y_1) = ti(X_b,X_1)
% 6.38/6.58 | hBOOL(hAPP(X_b,bool,A_3,X_1)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_64_insert__ident,axiom,
% 6.38/6.58 ! [X_b,B_2,X_1,A_3] :
% 6.38/6.58 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.58 => ( 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_2)
% 6.38/6.58 <=> ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_65_insertI2,axiom,
% 6.38/6.58 ! [X_b,B,A_2,B_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_2))
% 6.38/6.58 => 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),B_2))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_66_insert__absorb,axiom,
% 6.38/6.58 ! [X_b,A_2,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 6.38/6.58 => 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) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_67_subset__refl,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_68_set__eq__subset,axiom,
% 6.38/6.58 ! [X_b,A_3,B_2] :
% 6.38/6.58 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2)
% 6.38/6.58 <=> ( 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_2))
% 6.38/6.58 & 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_2),A_3)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_69_equalityD1,axiom,
% 6.38/6.58 ! [X_b,A_3,B_2] :
% 6.38/6.58 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2)
% 6.38/6.58 => 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_2)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_70_equalityD2,axiom,
% 6.38/6.58 ! [X_b,A_3,B_2] :
% 6.38/6.58 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2)
% 6.38/6.58 => 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_2),A_3)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_71_in__mono,axiom,
% 6.38/6.58 ! [X_b,X_1,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_72_set__rev__mp,axiom,
% 6.38/6.58 ! [X_b,B_2,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => ( 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_2))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_73_set__mp,axiom,
% 6.38/6.58 ! [X_b,X_1,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_74_ext,axiom,
% 6.38/6.58 ! [X_b,X_c,F,G] :
% 6.38/6.58 ( ! [X_2] : hAPP(X_b,X_c,F,X_2) = hAPP(X_b,X_c,G,X_2)
% 6.38/6.58 => ti(fun(X_b,X_c),F) = ti(fun(X_b,X_c),G) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_75_mem__def,axiom,
% 6.38/6.58 ! [X_b,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 <=> hBOOL(hAPP(X_b,bool,A_3,X_1)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_76_Collect__def,axiom,
% 6.38/6.58 ! [X_b,Pa] : hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa) = ti(fun(X_b,bool),Pa) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_77_subset__trans,axiom,
% 6.38/6.58 ! [X_b,C_2,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => ( 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_2),C_2))
% 6.38/6.58 => 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)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_78_equalityE,axiom,
% 6.38/6.58 ! [X_b,A_3,B_2] :
% 6.38/6.58 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2)
% 6.38/6.58 => ~ ( 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_2))
% 6.38/6.58 => ~ 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_2),A_3)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_79_image__iff,axiom,
% 6.38/6.58 ! [X_b,X_c,Z_1,F,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Z_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)))
% 6.38/6.58 <=> ? [X_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3))
% 6.38/6.58 & ti(X_b,Z_1) = hAPP(X_c,X_b,F,X_2) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_80_imageI,axiom,
% 6.38/6.58 ! [X_c,X_b,F,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => 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))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_81_rev__image__eqI,axiom,
% 6.38/6.58 ! [X_c,X_b,B,F,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => ( ti(X_c,B) = hAPP(X_b,X_c,F,X_1)
% 6.38/6.58 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),B),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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_82_insert__compr__raw,axiom,
% 6.38/6.58 ! [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))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_83_image__image,axiom,
% 6.38/6.58 ! [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) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_84_image__ident,axiom,
% 6.38/6.58 ! [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) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_85_subset__insertI,axiom,
% 6.38/6.58 ! [X_b,B_2,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_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_2))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_86_insert__subset,axiom,
% 6.38/6.58 ! [X_b,X_1,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.58 & 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_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_87_subset__insert,axiom,
% 6.38/6.58 ! [X_b,B_2,X_1,A_3] :
% 6.38/6.58 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => ( 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_2)))
% 6.38/6.58 <=> 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_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_88_subset__insertI2,axiom,
% 6.38/6.58 ! [X_b,B,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => 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),B_2))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_89_insert__mono,axiom,
% 6.38/6.58 ! [X_b,A_2,C_2,D_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => 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_2))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_90_image__insert,axiom,
% 6.38/6.58 ! [X_c,X_b,F,A_2,B_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),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_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),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_2)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_91_insert__image,axiom,
% 6.38/6.58 ! [X_c,X_b,F,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => 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) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_92_subset__image__iff,axiom,
% 6.38/6.58 ! [X_b,X_c,B_2,F,A_3] :
% 6.38/6.58 ( 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_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)))
% 6.38/6.58 <=> ? [AA] :
% 6.38/6.58 ( 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))
% 6.38/6.58 & ti(fun(X_b,bool),B_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),AA) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_93_image__mono,axiom,
% 6.38/6.58 ! [X_c,X_b,F,A_3,B_2] :
% 6.38/6.58 ( 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_2))
% 6.38/6.58 => 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_2))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_94_imageE,axiom,
% 6.38/6.58 ! [X_b,X_c,B,F,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B),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)))
% 6.38/6.58 => ~ ! [X_2] :
% 6.38/6.58 ( ti(X_b,B) = hAPP(X_c,X_b,F,X_2)
% 6.38/6.58 => ~ hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_95_subsetI,axiom,
% 6.38/6.58 ! [X_b,B_2,A_3] :
% 6.38/6.58 ( ! [X_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 6.38/6.58 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),B_2)) )
% 6.38/6.58 => 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_2)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_96_image__subsetI,axiom,
% 6.38/6.58 ! [X_c,X_b,F,B_2,A_3] :
% 6.38/6.58 ( ! [X_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 6.38/6.58 => 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_2)) )
% 6.38/6.58 => 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_2)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_97_order__refl,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( preorder(X_a)
% 6.38/6.58 => ! [X] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),X)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_98_finite__nat__set__iff__bounded__le,axiom,
% 6.38/6.58 ! [N_1] :
% 6.38/6.58 ( hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_1))
% 6.38/6.58 <=> ? [M_2] :
% 6.38/6.58 ! [X_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_1))
% 6.38/6.58 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X_2),M_2)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_99_assms_I3_J,axiom,
% 6.38/6.58 ! [G_1,C_1] :
% 6.38/6.58 ( hBOOL(hAPP(com,bool,wt,C_1))
% 6.38/6.58 => ( ! [X_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),X_2),u))
% 6.38/6.58 => 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))))) )
% 6.38/6.58 => 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))))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_100_le__fun__def,axiom,
% 6.38/6.58 ! [X_b,X_c] :
% 6.38/6.58 ( ord(X_c)
% 6.38/6.58 => ! [F,G] :
% 6.38/6.58 ( 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))
% 6.38/6.58 <=> ! [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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_101_le__funD,axiom,
% 6.38/6.58 ! [X_b,X_c] :
% 6.38/6.58 ( ord(X_c)
% 6.38/6.58 => ! [X_1,F,G] :
% 6.38/6.58 ( 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))
% 6.38/6.58 => 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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_102_le__funE,axiom,
% 6.38/6.58 ! [X_b,X_c] :
% 6.38/6.58 ( ord(X_c)
% 6.38/6.58 => ! [X_1,F,G] :
% 6.38/6.58 ( 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))
% 6.38/6.58 => 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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_103_emptyE,axiom,
% 6.38/6.58 ! [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)))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_104_finite_OemptyI,axiom,
% 6.38/6.58 ! [X_b] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),bot_bot(fun(X_b,bool)))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_105_empty__subsetI,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_106_equals0D,axiom,
% 6.38/6.58 ! [X_b,A_2,A_3] :
% 6.38/6.58 ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 6.38/6.58 => ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_107_Collect__empty__eq,axiom,
% 6.38/6.58 ! [X_b,Pa] :
% 6.38/6.58 ( hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa) = bot_bot(fun(X_b,bool))
% 6.38/6.58 <=> ! [X_2] : ~ hBOOL(hAPP(X_b,bool,Pa,X_2)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_108_empty__iff,axiom,
% 6.38/6.58 ! [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)))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_109_empty__Collect__eq,axiom,
% 6.38/6.58 ! [X_b,Pa] :
% 6.38/6.58 ( bot_bot(fun(X_b,bool)) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)
% 6.38/6.58 <=> ! [X_2] : ~ hBOOL(hAPP(X_b,bool,Pa,X_2)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_110_ex__in__conv,axiom,
% 6.38/6.58 ! [X_b,A_3] :
% 6.38/6.58 ( ? [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))
% 6.38/6.58 <=> ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_111_all__not__in__conv,axiom,
% 6.38/6.58 ! [X_b,A_3] :
% 6.38/6.58 ( ! [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))
% 6.38/6.58 <=> ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_112_empty__def,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_113_bot__fun__def,axiom,
% 6.38/6.58 ! [X_b,X_c] :
% 6.38/6.58 ( bot(X_c)
% 6.38/6.58 => ! [X_2] : hAPP(X_b,X_c,bot_bot(fun(X_b,X_c)),X_2) = bot_bot(X_c) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_114_bot__apply,axiom,
% 6.38/6.58 ! [X_c,X_b] :
% 6.38/6.58 ( bot(X_b)
% 6.38/6.58 => ! [X_1] : hAPP(X_c,X_b,bot_bot(fun(X_c,X_b)),X_1) = bot_bot(X_b) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_115_le__bot,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( bot(X_a)
% 6.38/6.58 => ! [A_1] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),bot_bot(X_a)))
% 6.38/6.58 => ti(X_a,A_1) = bot_bot(X_a) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_116_bot__unique,axiom,
% 6.38/6.58 ! [X_b] :
% 6.38/6.58 ( bot(X_b)
% 6.38/6.58 => ! [A_2] :
% 6.38/6.58 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),bot_bot(X_b)))
% 6.38/6.58 <=> ti(X_b,A_2) = bot_bot(X_b) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_117_bot__least,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( bot(X_a)
% 6.38/6.58 => ! [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)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_118_singleton__inject,axiom,
% 6.38/6.58 ! [X_b,A_2,B] :
% 6.38/6.58 ( 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),bot_bot(fun(X_b,bool)))
% 6.38/6.58 => ti(X_b,A_2) = ti(X_b,B) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_119_singletonE,axiom,
% 6.38/6.58 ! [X_b,B,A_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),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),bot_bot(fun(X_b,bool)))))
% 6.38/6.58 => ti(X_b,B) = ti(X_b,A_2) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_120_doubleton__eq__iff,axiom,
% 6.38/6.58 ! [X_b,A_2,B,C_1,D_1] :
% 6.38/6.58 ( 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),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))))
% 6.38/6.58 <=> ( ( ti(X_b,A_2) = ti(X_b,C_1)
% 6.38/6.58 & ti(X_b,B) = ti(X_b,D_1) )
% 6.38/6.58 | ( ti(X_b,A_2) = ti(X_b,D_1)
% 6.38/6.58 & ti(X_b,B) = ti(X_b,C_1) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_121_singleton__iff,axiom,
% 6.38/6.58 ! [X_b,B,A_2] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),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),bot_bot(fun(X_b,bool)))))
% 6.38/6.58 <=> ti(X_b,B) = ti(X_b,A_2) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_122_insert__not__empty,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_123_empty__not__insert,axiom,
% 6.38/6.58 ! [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) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_124_subset__empty,axiom,
% 6.38/6.58 ! [X_b,A_3] :
% 6.38/6.58 ( 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))))
% 6.38/6.58 <=> ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_125_image__is__empty,axiom,
% 6.38/6.58 ! [X_c,X_b,F,A_3] :
% 6.38/6.58 ( 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))
% 6.38/6.58 <=> ti(fun(X_c,bool),A_3) = bot_bot(fun(X_c,bool)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_126_image__empty,axiom,
% 6.38/6.58 ! [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)) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_127_empty__is__image,axiom,
% 6.38/6.58 ! [X_b,X_c,F,A_3] :
% 6.38/6.58 ( 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)
% 6.38/6.58 <=> ti(fun(X_c,bool),A_3) = bot_bot(fun(X_c,bool)) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_128_Collect__conv__if,axiom,
% 6.38/6.58 ! [X_b,Pa,A_2] :
% 6.38/6.58 ( ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.58 => 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))) )
% 6.38/6.58 & ( ~ hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.58 => 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)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_129_Collect__conv__if2,axiom,
% 6.38/6.58 ! [X_b,Pa,A_2] :
% 6.38/6.58 ( ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.58 => 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))) )
% 6.38/6.58 & ( ~ hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.58 => 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)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_130_singleton__conv,axiom,
% 6.38/6.58 ! [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))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_131_singleton__conv2,axiom,
% 6.38/6.58 ! [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))) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_132_subset__singletonD,axiom,
% 6.38/6.58 ! [X_b,A_3,X_1] :
% 6.38/6.58 ( 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)))))
% 6.38/6.58 => ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 6.38/6.58 | 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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_133_image__constant,axiom,
% 6.38/6.58 ! [X_c,X_b,C_1,X_1,A_3] :
% 6.38/6.58 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.58 => 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))) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_134_image__constant__conv,axiom,
% 6.38/6.58 ! [X_c,X_b,C_1,A_3] :
% 6.38/6.58 ( ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 6.38/6.58 => 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)) )
% 6.38/6.58 & ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 6.38/6.58 => 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))) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_135_linorder__le__cases,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( linorder(X_a)
% 6.38/6.58 => ! [X,Y] :
% 6.38/6.58 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.58 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_136_xt1_I6_J,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( order(X_a)
% 6.38/6.58 => ! [Z,Y,X] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.58 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),Y))
% 6.38/6.58 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),X)) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_137_xt1_I5_J,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( order(X_a)
% 6.38/6.58 => ! [Y,X] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.58 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.58 => ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_138_order__trans,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( preorder(X_a)
% 6.38/6.58 => ! [Z,X,Y] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.58 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z))
% 6.38/6.58 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Z)) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_139_order__antisym,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( order(X_a)
% 6.38/6.58 => ! [X,Y] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.58 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.58 => ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 6.38/6.58
% 6.38/6.58 fof(fact_140_xt1_I4_J,axiom,
% 6.38/6.58 ! [X_a] :
% 6.38/6.58 ( order(X_a)
% 6.38/6.58 => ! [C,B_1,A_1] :
% 6.38/6.58 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),A_1))
% 6.38/6.58 => ( ti(X_a,B_1) = ti(X_a,C)
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),A_1)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_141_ord__le__eq__trans,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ord(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.59 => ( B_1 = C
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),C)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_142_xt1_I3_J,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( order(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( ti(X_a,A_1) = ti(X_a,B_1)
% 6.38/6.59 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),B_1))
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),A_1)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_143_ord__eq__le__trans,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ord(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( A_1 = B_1
% 6.38/6.59 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),C))
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),C)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_144_order__antisym__conv,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( order(X_b)
% 6.38/6.59 => ! [Y_1,X_1] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_1),X_1))
% 6.38/6.59 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.59 <=> ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_145_order__eq__refl,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( preorder(X_a)
% 6.38/6.59 => ! [X,Y] :
% 6.38/6.59 ( X = Y
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_146_order__eq__iff,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( order(X_b)
% 6.38/6.59 => ! [X_1,Y_1] :
% 6.38/6.59 ( ti(X_b,X_1) = ti(X_b,Y_1)
% 6.38/6.59 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.59 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_1),X_1)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_147_linorder__linear,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( linorder(X_a)
% 6.38/6.59 => ! [X,Y] :
% 6.38/6.59 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.59 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_148_finite__subset__induct,axiom,
% 6.38/6.59 ! [X_b,Pa,A_3,F_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_2))
% 6.38/6.59 => ( 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_2),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool))))
% 6.38/6.59 => ( ! [A_5,F_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_5),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_5),F_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 6.38/6.59 => 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_5),F_3))) ) ) ) )
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_2)) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_149_assms_I2_J,axiom,
% 6.38/6.59 ! [Pn,G_1] :
% 6.38/6.59 ( 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)))))
% 6.38/6.59 => 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))))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_150_finite__induct,axiom,
% 6.38/6.59 ! [X_b,Pa,F_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool))))
% 6.38/6.59 => ( ! [X_2,F_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),F_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 6.38/6.59 => 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))) ) ) )
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_2)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_151_finite_Osimps,axiom,
% 6.38/6.59 ! [X_b,A_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_2))
% 6.38/6.59 <=> ( ti(fun(X_b,bool),A_2) = bot_bot(fun(X_b,bool))
% 6.38/6.59 | ? [A_4,A_5] :
% 6.38/6.59 ( 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_5),A_4)
% 6.38/6.59 & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_4)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_152_finite__less__ub,axiom,
% 6.38/6.59 ! [U,F] :
% 6.38/6.59 ( ! [N_2] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N_2),hAPP(nat,nat,F,N_2)))
% 6.38/6.59 => 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)))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_153_the__elem__eq,axiom,
% 6.38/6.59 ! [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) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_154_nonempty__iff,axiom,
% 6.38/6.59 ! [X_b,A_3] :
% 6.38/6.59 ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 6.38/6.59 <=> ? [X_2,B_4] :
% 6.38/6.59 ( 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)
% 6.38/6.59 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),B_4)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_155_le__funI,axiom,
% 6.38/6.59 ! [X_b,X_c] :
% 6.38/6.59 ( ord(X_c)
% 6.38/6.59 => ! [F,G] :
% 6.38/6.59 ( ! [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)))
% 6.38/6.59 => 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)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_156_assms_I4_J,axiom,
% 6.38/6.59 ! [Pn] :
% 6.38/6.59 ( hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),Pn),u))
% 6.38/6.59 => hBOOL(hAPP(com,bool,wt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,Pn)))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_157_diff__eq__diff__less__eq,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( ordered_ab_group_add(X_b)
% 6.38/6.59 => ! [A_2,B,C_1,D_1] :
% 6.38/6.59 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 6.38/6.59 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B))
% 6.38/6.59 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),C_1),D_1)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_158_folding__one__idem_Osubset__idem,axiom,
% 6.38/6.59 ! [X_b,B_2,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ti(fun(X_b,bool),B_2) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => ( 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_2),A_3))
% 6.38/6.59 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(fun(X_b,bool),X_b,F_2,B_2)),hAPP(fun(X_b,bool),X_b,F_2,A_3)) = hAPP(fun(X_b,bool),X_b,F_2,A_3) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_159_folding__one__idem_Oinsert__idem,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_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)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_2,A_3)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_160_finite__ne__induct,axiom,
% 6.38/6.59 ! [X_b,Pa,F_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_2))
% 6.38/6.59 => ( ti(fun(X_b,bool),F_2) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => ( ! [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)))))
% 6.38/6.59 => ( ! [X_2,F_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 6.38/6.59 => ( ti(fun(X_b,bool),F_3) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),F_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 6.38/6.59 => 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))) ) ) ) )
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_2)) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_161_the__elem__def,axiom,
% 6.38/6.59 ! [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))))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_162_folding__one_Oinsert,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_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)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_2,A_3)) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_163_finite__Diff,axiom,
% 6.38/6.59 ! [X_b,B_2,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => 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_2))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_164_folding__one__idem_Oidem,axiom,
% 6.38/6.59 ! [X_b,X_1,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),X_1) = ti(X_b,X_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_165_Diff__cancel,axiom,
% 6.38/6.59 ! [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)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_166_Diff__empty,axiom,
% 6.38/6.59 ! [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) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_167_empty__Diff,axiom,
% 6.38/6.59 ! [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)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_168_finite__Diff2,axiom,
% 6.38/6.59 ! [X_b,A_3,B_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.59 => ( 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_2)))
% 6.38/6.59 <=> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_169_insert__Diff1,axiom,
% 6.38/6.59 ! [X_b,A_3,X_1,B_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.59 => 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_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),B_2) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_170_insert__Diff__if,axiom,
% 6.38/6.59 ! [X_b,A_3,X_1,B_2] :
% 6.38/6.59 ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.59 => 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_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),B_2) )
% 6.38/6.59 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.59 => 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_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),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_2)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_171_double__diff,axiom,
% 6.38/6.59 ! [X_b,C_2,A_3,B_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( 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_2),C_2))
% 6.38/6.59 => 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_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)),C_2),A_3)) = ti(fun(X_b,bool),A_3) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_172_Diff__mono,axiom,
% 6.38/6.59 ! [X_b,D_2,B_2,A_3,C_2] :
% 6.38/6.59 ( 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))
% 6.38/6.59 => ( 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_2),B_2))
% 6.38/6.59 => 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_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)),C_2),D_2))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_173_Diff__subset,axiom,
% 6.38/6.59 ! [X_b,A_3,B_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)),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_2)),A_3)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_174_folding__one_Oremove,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => ( ( 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))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_2,A_3) = ti(X_b,X_1) )
% 6.38/6.59 & ( 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))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_2,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_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),X_1),bot_bot(fun(X_b,bool)))))) ) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_175_folding__one_Oinsert__remove,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ( 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))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_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)) = ti(X_b,X_1) )
% 6.38/6.59 & ( 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))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_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)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_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),X_1),bot_bot(fun(X_b,bool)))))) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_176_Diff__insert,axiom,
% 6.38/6.59 ! [X_b,A_3,A_2,B_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),B_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)),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_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)))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_177_Diff__insert2,axiom,
% 6.38/6.59 ! [X_b,A_3,A_2,B_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),B_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)),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_2) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_178_insert__Diff__single,axiom,
% 6.38/6.59 ! [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) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_179_Diff__insert__absorb,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_180_insert__Diff,axiom,
% 6.38/6.59 ! [X_b,A_2,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 6.38/6.59 => 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) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_181_finite__Diff__insert,axiom,
% 6.38/6.59 ! [X_b,A_3,A_2,B_2] :
% 6.38/6.59 ( 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_2))))
% 6.38/6.59 <=> 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_2))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_182_image__diff__subset,axiom,
% 6.38/6.59 ! [X_b,X_c,F,A_3,B_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)),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_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),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_2)))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_183_folding__one__idem_Oin__idem,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_2,A_3)) = hAPP(fun(X_b,bool),X_b,F_2,A_3) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_184_diff__single__insert,axiom,
% 6.38/6.59 ! [X_b,A_3,X_1,B_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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_2))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_185_subset__insert__iff,axiom,
% 6.38/6.59 ! [X_b,A_3,X_1,B_2] :
% 6.38/6.59 ( 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_2)))
% 6.38/6.59 <=> ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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_2)) )
% 6.38/6.59 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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_2)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_186_diff__eq__diff__eq,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( ab_group_add(X_b)
% 6.38/6.59 => ! [A_2,B,C_1,D_1] :
% 6.38/6.59 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 6.38/6.59 => ( ti(X_b,A_2) = ti(X_b,B)
% 6.38/6.59 <=> ti(X_b,C_1) = ti(X_b,D_1) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_187_folding__one_Osingleton,axiom,
% 6.38/6.59 ! [X_b,X_1,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,F_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),bot_bot(fun(X_b,bool)))) = ti(X_b,X_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_188_card__Diff__subset,axiom,
% 6.38/6.59 ! [X_b,A_3,B_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.59 => ( 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_2),A_3))
% 6.38/6.59 => 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_2)) = 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_2)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_189_diff__card__le__card__Diff,axiom,
% 6.38/6.59 ! [X_b,A_3,B_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.59 => 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_2))),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_2)))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_190_card__Suc__Diff1,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_191_card__insert,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => 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)))))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_192_card__Diff1__le,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => 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))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_193_folding__one__idem_Ohom__commute,axiom,
% 6.38/6.59 ! [X_b,N_1,H,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( ! [X_2,Y_2] : hAPP(X_b,X_b,H,hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_2),Y_2)) = 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),N_1))
% 6.38/6.59 => ( ti(fun(X_b,bool),N_1) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => hAPP(X_b,X_b,H,hAPP(fun(X_b,bool),X_b,F_2,N_1)) = hAPP(fun(X_b,bool),X_b,F_2,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_1)) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_194_folding__one_Oclosed,axiom,
% 6.38/6.59 ! [X_b,A_3,F,F_2] :
% 6.38/6.59 ( 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_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 6.38/6.59 => ( ! [X_2,Y_2] : 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_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_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_2),bot_bot(fun(X_b,bool))))))
% 6.38/6.59 => 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_2,A_3)),A_3)) ) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_195_finite__empty__induct,axiom,
% 6.38/6.59 ! [X_b,Pa,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,A_3))
% 6.38/6.59 => ( ! [A_5,A_4] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_4))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_5),A_4))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,A_4))
% 6.38/6.59 => 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_4),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_5),bot_bot(fun(X_b,bool)))))) ) ) )
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool)))) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_196_folding__image__simple_Oremove,axiom,
% 6.38/6.59 ! [X_c,X_b,X_1,A_3,F,Z_1,G,F_2] :
% 6.38/6.59 ( 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_1),G),F_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 6.38/6.59 => hAPP(fun(X_c,bool),X_b,F_2,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_2,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)))))) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_197_folding__image__simple_Oinsert__remove,axiom,
% 6.38/6.59 ! [X_c,X_b,X_1,A_3,F,Z_1,G,F_2] :
% 6.38/6.59 ( 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_1),G),F_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 6.38/6.59 => hAPP(fun(X_c,bool),X_b,F_2,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_2,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)))))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_198_the__sym__eq__trivial,axiom,
% 6.38/6.59 ! [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) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_199_DiffE,axiom,
% 6.38/6.59 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.59 ( 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_2)))
% 6.38/6.59 => ~ ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_200_DiffI,axiom,
% 6.38/6.59 ! [X_b,B_2,C_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2))
% 6.38/6.59 => 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_2))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_201_DiffD2,axiom,
% 6.38/6.59 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.59 ( 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_2)))
% 6.38/6.59 => ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_202_DiffD1,axiom,
% 6.38/6.59 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.59 ( 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_2)))
% 6.38/6.59 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_203_Diff__idemp,axiom,
% 6.38/6.59 ! [X_b,A_3,B_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)),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_2)),B_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),B_2) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_204_Diff__iff,axiom,
% 6.38/6.59 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.59 ( 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_2)))
% 6.38/6.59 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 6.38/6.59 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_205_set__diff__eq,axiom,
% 6.38/6.59 ! [X_b,A_3,B_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),B_2) = 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_2)))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_206_folding__image__simple_Oempty,axiom,
% 6.38/6.59 ! [X_c,X_b,F,Z_1,G,F_2] :
% 6.38/6.59 ( 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_1),G),F_2))
% 6.38/6.59 => hAPP(fun(X_c,bool),X_b,F_2,bot_bot(fun(X_c,bool))) = ti(X_b,Z_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_207_folding__image__simple_Oinsert,axiom,
% 6.38/6.59 ! [X_c,X_b,X_1,A_3,F,Z_1,G,F_2] :
% 6.38/6.59 ( 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_1),G),F_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 6.38/6.59 => hAPP(fun(X_c,bool),X_b,F_2,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_2,A_3)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_208_If__def,axiom,
% 6.38/6.59 ! [X_b,X_1,Y_1,Pa] :
% 6.38/6.59 ( ( hBOOL(Pa)
% 6.38/6.59 => 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_1)))) )
% 6.38/6.59 & ( ~ hBOOL(Pa)
% 6.38/6.59 => ti(X_b,Y_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_1)))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_209_the__eq__trivial,axiom,
% 6.38/6.59 ! [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) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_210_the__equality,axiom,
% 6.38/6.59 ! [X_b,Pa,A_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.59 => ( ! [X_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 6.38/6.59 => ti(X_b,X_2) = ti(X_b,A_2) )
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,the(X_b),Pa) = ti(X_b,A_2) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_211_folding__image__simple_Oneutral,axiom,
% 6.38/6.59 ! [X_c,X_b,A_3,F,Z_1,G,F_2] :
% 6.38/6.59 ( 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_1),G),F_2))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 6.38/6.59 => ( ! [X_2] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3))
% 6.38/6.59 => hAPP(X_c,X_b,G,X_2) = ti(X_b,Z_1) )
% 6.38/6.59 => hAPP(fun(X_c,bool),X_b,F_2,A_3) = ti(X_b,Z_1) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_212_fun__diff__def,axiom,
% 6.38/6.59 ! [X_b,X_c] :
% 6.38/6.59 ( minus(X_c)
% 6.38/6.59 => ! [A_3,B_2,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_2),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_2,X_2)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_213_minus__apply,axiom,
% 6.38/6.59 ! [X_c,X_b] :
% 6.38/6.59 ( minus(X_b)
% 6.38/6.59 => ! [A_3,B_2,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_2),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_2,X_1)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_214_theI,axiom,
% 6.38/6.59 ! [X_b,Pa,A_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.59 => ( ! [X_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 6.38/6.59 => ti(X_b,X_2) = ti(X_b,A_2) )
% 6.38/6.59 => hBOOL(hAPP(X_b,bool,Pa,hAPP(fun(X_b,bool),X_b,the(X_b),Pa))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_215_theI_H,axiom,
% 6.38/6.59 ! [X_b,Pa] :
% 6.38/6.59 ( ? [X_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 6.38/6.59 & ! [Y_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,Y_2))
% 6.38/6.59 => ti(X_b,Y_2) = ti(X_b,X_2) ) )
% 6.38/6.59 => hBOOL(hAPP(X_b,bool,Pa,hAPP(fun(X_b,bool),X_b,the(X_b),Pa))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_216_the1__equality,axiom,
% 6.38/6.59 ! [X_b,A_2,Pa] :
% 6.38/6.59 ( ? [X_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 6.38/6.59 & ! [Y_2] :
% 6.38/6.59 ( hBOOL(hAPP(X_b,bool,Pa,Y_2))
% 6.38/6.59 => ti(X_b,Y_2) = ti(X_b,X_2) ) )
% 6.38/6.59 => ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,the(X_b),Pa) = ti(X_b,A_2) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_217_flat__lub__def,axiom,
% 6.38/6.59 ! [X_b,A_3,B] :
% 6.38/6.59 ( ( 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),bot_bot(fun(X_b,bool)))))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,hAPP(X_b,fun(fun(X_b,bool),X_b),partial_flat_lub(X_b),B),A_3) = ti(X_b,B) )
% 6.38/6.59 & ( ~ 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),bot_bot(fun(X_b,bool)))))
% 6.38/6.59 => hAPP(fun(X_b,bool),X_b,hAPP(X_b,fun(fun(X_b,bool),X_b),partial_flat_lub(X_b),B),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),bot_bot(fun(X_b,bool)))))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_218_card__Diff__singleton,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_219_card__Diff__singleton__if,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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)) )
% 6.38/6.59 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_220_one__reorient,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( one(X_b)
% 6.38/6.59 => ! [X_1] :
% 6.38/6.59 ( one_one(X_b) = ti(X_b,X_1)
% 6.38/6.59 <=> ti(X_b,X_1) = one_one(X_b) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_221_diff__Suc__eq__diff__pred,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),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),one_one(nat))),N) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_222_diff__Suc__1,axiom,
% 6.38/6.59 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,N)),one_one(nat)) = N ).
% 6.38/6.59
% 6.38/6.59 fof(fact_223_card__Diff__insert,axiom,
% 6.38/6.59 ! [X_b,B_2,A_2,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_2))
% 6.38/6.59 => 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_2))) = 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_2))),one_one(nat)) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_224_card_Oinsert__remove,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => 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)))))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_225_card_Oremove,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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)))))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_226_comp__fun__idem__remove,axiom,
% 6.38/6.59 ! [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)))))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_227_less__eq__nat_Osimps_I2_J,axiom,
% 6.38/6.59 ! [M_1,Na] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M_1)),Na))
% 6.38/6.59 <=> 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_1)),Na)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_228_add__le__cancel__right,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( ordere236663937imp_le(X_b)
% 6.38/6.59 => ! [A_2,C_1,B] :
% 6.38/6.59 ( 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),C_1)))
% 6.38/6.59 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_229_add__le__cancel__left,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( ordere236663937imp_le(X_b)
% 6.38/6.59 => ! [C_1,A_2,B] :
% 6.38/6.59 ( 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)))
% 6.38/6.59 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_230_add__right__mono,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ordere779506340up_add(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.59 => 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_1),C))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_231_add__left__mono,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ordere779506340up_add(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.59 => 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_1))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_232_add__mono,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ordere779506340up_add(X_a)
% 6.38/6.59 => ! [C,D,A_1,B_1] :
% 6.38/6.59 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.59 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 6.38/6.59 => 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_1),D))) ) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_233_add__le__imp__le__right,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ordere236663937imp_le(X_a)
% 6.38/6.59 => ! [A_1,C,B_1] :
% 6.38/6.59 ( 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_1),C)))
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_234_add__le__imp__le__left,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ordere236663937imp_le(X_a)
% 6.38/6.59 => ! [C,A_1,B_1] :
% 6.38/6.59 ( 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_1)))
% 6.38/6.59 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_235_add__Suc__right,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_236_add__Suc,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_237_add__Suc__shift,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_238_comp__fun__idem_Ofun__left__idem,axiom,
% 6.38/6.59 ! [X_b,X_c,X_1,Z_1,F] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,fun(X_c,X_c)),bool,finite_comp_fun_idem(X_b,X_c),F))
% 6.38/6.59 => 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_1)) = hAPP(X_c,X_c,hAPP(X_b,fun(X_c,X_c),F,X_1),Z_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_239_nat__add__right__cancel,axiom,
% 6.38/6.59 ! [M_1,K_2,Na] :
% 6.38/6.59 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_2) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Na),K_2)
% 6.38/6.59 <=> M_1 = Na ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_240_nat__add__left__cancel,axiom,
% 6.38/6.59 ! [K_2,M_1,Na] :
% 6.38/6.59 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),M_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),Na)
% 6.38/6.59 <=> M_1 = Na ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_241_nat__add__assoc,axiom,
% 6.38/6.59 ! [M,N,K] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_242_nat__add__left__commute,axiom,
% 6.38/6.59 ! [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)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_243_nat__add__commute,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_244_add__right__imp__eq,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( cancel_semigroup_add(X_a)
% 6.38/6.59 => ! [B_1,A_1,C] :
% 6.38/6.59 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B_1),A_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)
% 6.38/6.59 => ti(X_a,B_1) = ti(X_a,C) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_245_add__imp__eq,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( cancel146912293up_add(X_a)
% 6.38/6.59 => ! [A_1,B_1,C] :
% 6.38/6.59 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)
% 6.38/6.59 => ti(X_a,B_1) = ti(X_a,C) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_246_add__left__imp__eq,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( cancel_semigroup_add(X_a)
% 6.38/6.59 => ! [A_1,B_1,C] :
% 6.38/6.59 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)
% 6.38/6.59 => ti(X_a,B_1) = ti(X_a,C) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_247_add__right__cancel,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( cancel_semigroup_add(X_b)
% 6.38/6.59 => ! [B,A_2,C_1] :
% 6.38/6.59 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B),A_2) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),A_2)
% 6.38/6.59 <=> ti(X_b,B) = ti(X_b,C_1) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_248_add__left__cancel,axiom,
% 6.38/6.59 ! [X_b] :
% 6.38/6.59 ( cancel_semigroup_add(X_b)
% 6.38/6.59 => ! [A_2,B,C_1] :
% 6.38/6.59 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),B) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),C_1)
% 6.38/6.59 <=> ti(X_b,B) = ti(X_b,C_1) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_249_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( ab_semigroup_add(X_a)
% 6.38/6.59 => ! [A_1,B_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),plus_plus(X_a),A_1),B_1)),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_1),C)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_250_diff__add__inverse2,axiom,
% 6.38/6.59 ! [M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),N) = M ).
% 6.38/6.59
% 6.38/6.59 fof(fact_251_diff__add__inverse,axiom,
% 6.38/6.59 ! [N,M] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),N) = M ).
% 6.38/6.59
% 6.38/6.59 fof(fact_252_diff__diff__left,axiom,
% 6.38/6.59 ! [I,J_2,K] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I),J_2)),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),K)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_253_diff__cancel,axiom,
% 6.38/6.59 ! [K,M,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(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),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_254_diff__cancel2,axiom,
% 6.38/6.59 ! [M,K,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_255_le__add2,axiom,
% 6.38/6.59 ! [N,M] : 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),N))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_256_le__add1,axiom,
% 6.38/6.59 ! [N,M] : 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))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_257_le__iff__add,axiom,
% 6.38/6.59 ! [M_1,Na] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.59 <=> ? [K_1] : Na = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_258_nat__add__left__cancel__le,axiom,
% 6.38/6.59 ! [K_2,M_1,Na] :
% 6.38/6.59 ( 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_2),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),Na)))
% 6.38/6.59 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_259_trans__le__add1,axiom,
% 6.38/6.59 ! [M,I,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),J_2))
% 6.38/6.59 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),M))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_260_trans__le__add2,axiom,
% 6.38/6.59 ! [M,I,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),J_2))
% 6.38/6.59 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J_2))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_261_add__le__mono1,axiom,
% 6.38/6.59 ! [K,I,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),J_2))
% 6.38/6.59 => 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),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),K))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_262_add__le__mono,axiom,
% 6.38/6.59 ! [K,L,I,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),J_2))
% 6.38/6.59 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),L))
% 6.38/6.59 => 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),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),L))) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_263_add__leD2,axiom,
% 6.38/6.59 ! [M,K,N] :
% 6.38/6.59 ( 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),K)),N))
% 6.38/6.59 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),N)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_264_add__leD1,axiom,
% 6.38/6.59 ! [M,K,N] :
% 6.38/6.59 ( 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),K)),N))
% 6.38/6.59 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_265_add__leE,axiom,
% 6.38/6.59 ! [M,K,N] :
% 6.38/6.59 ( 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),K)),N))
% 6.38/6.59 => ~ ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.59 => ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),N)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_266_diff__add__cancel,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( group_add(X_a)
% 6.38/6.59 => ! [A_1,B_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),minus_minus(X_a),A_1),B_1)),B_1) = ti(X_a,A_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_267_add__diff__cancel,axiom,
% 6.38/6.59 ! [X_a] :
% 6.38/6.59 ( group_add(X_a)
% 6.38/6.59 => ! [A_1,B_1] : 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_1)),B_1) = ti(X_a,A_1) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_268_comp__fun__idem__insert,axiom,
% 6.38/6.59 ! [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))) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_269_diff__add__assoc2,axiom,
% 6.38/6.59 ! [I,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),I)),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K)),I) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_270_add__diff__assoc2,axiom,
% 6.38/6.59 ! [I,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K)),I) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),I)),K) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_271_diff__add__assoc,axiom,
% 6.38/6.59 ! [I,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),J_2)),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_272_le__imp__diff__is__add,axiom,
% 6.38/6.59 ! [K_2,I_1,J_1] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 6.38/6.59 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),I_1) = K_2
% 6.38/6.59 <=> J_1 = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),I_1) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_273_le__add__diff__inverse2,axiom,
% 6.38/6.59 ! [N,M] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),N) = M ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_274_le__diff__conv2,axiom,
% 6.38/6.59 ! [I_1,K_2,J_1] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),J_1))
% 6.38/6.59 => ( 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_2)))
% 6.38/6.59 <=> 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_2)),J_1)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_275_add__diff__assoc,axiom,
% 6.38/6.59 ! [I,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),J_2)),K) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_276_le__add__diff__inverse,axiom,
% 6.38/6.59 ! [N,M] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)) = M ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_277_le__add__diff,axiom,
% 6.38/6.59 ! [M,K,N] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),N))
% 6.38/6.59 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),K))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_278_le__diff__conv,axiom,
% 6.38/6.59 ! [J_1,K_2,I_1] :
% 6.38/6.59 ( 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_2)),I_1))
% 6.38/6.59 <=> 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_2))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_279_diff__diff__right,axiom,
% 6.38/6.59 ! [I,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),K)),J_2) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_280_Suc__eq__plus1,axiom,
% 6.38/6.59 ! [N] : hAPP(nat,nat,suc,N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),one_one(nat)) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_281_Suc__eq__plus1__left,axiom,
% 6.38/6.59 ! [N] : hAPP(nat,nat,suc,N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),N) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_282_nat__case__Suc,axiom,
% 6.38/6.59 ! [X_b,F1,F2,Nat_2] : 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_2)) = hAPP(nat,X_b,F2,Nat_2) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_283_diff__Suc__diff__eq2,axiom,
% 6.38/6.59 ! [M,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => 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_2),K))),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,J_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_284_diff__Suc__diff__eq1,axiom,
% 6.38/6.59 ! [M,K,J_2] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_2))
% 6.38/6.59 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,suc,J_2)) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_285_card_Oinsert,axiom,
% 6.38/6.59 ! [X_b,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => 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)) ) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_286_termination__basic__simps_I3_J,axiom,
% 6.38/6.59 ! [Z,X,Y] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Y))
% 6.38/6.59 => 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))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_287_termination__basic__simps_I4_J,axiom,
% 6.38/6.59 ! [Y,X,Z] :
% 6.38/6.59 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Z))
% 6.38/6.59 => 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))) ) ).
% 6.38/6.59
% 6.38/6.59 fof(fact_288_card__Diff2__less,axiom,
% 6.38/6.59 ! [X_b,Y_1,X_1,A_3] :
% 6.38/6.59 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.59 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_1),A_3))
% 6.38/6.60 => 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_1),bot_bot(fun(X_b,bool)))))),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_289_card__Diff1__less,axiom,
% 6.38/6.60 ! [X_b,X_1,A_3] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.60 => 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))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_290_lessI,axiom,
% 6.38/6.60 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,N))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_291_Suc__mono,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_292_finite__Collect__less__nat,axiom,
% 6.38/6.60 ! [K_2] : 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_2)))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_293_termination__basic__simps_I1_J,axiom,
% 6.38/6.60 ! [Z,X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 6.38/6.60 => 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))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_294_termination__basic__simps_I2_J,axiom,
% 6.38/6.60 ! [Y,X,Z] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Z))
% 6.38/6.60 => 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))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_295_add__lessD1,axiom,
% 6.38/6.60 ! [I,J_2,K] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),J_2)),K))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_296_less__add__eq__less,axiom,
% 6.38/6.60 ! [M,N,K,L] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))
% 6.38/6.60 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),L) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),N)
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_297_add__less__mono,axiom,
% 6.38/6.60 ! [K,L,I,J_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),L))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_298_add__less__mono1,axiom,
% 6.38/6.60 ! [K,I,J_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),K))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_299_trans__less__add2,axiom,
% 6.38/6.60 ! [M,I,J_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J_2))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_300_trans__less__add1,axiom,
% 6.38/6.60 ! [M,I,J_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),M))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_301_nat__add__left__cancel__less,axiom,
% 6.38/6.60 ! [K_2,M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),Na)))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_302_not__add__less2,axiom,
% 6.38/6.60 ! [J_2,I] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),I)),I)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_303_not__add__less1,axiom,
% 6.38/6.60 ! [I,J_2] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),J_2)),I)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_304_add__less__imp__less__left,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere236663937imp_le(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( 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_1)))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_305_add__less__imp__less__right,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere236663937imp_le(X_a)
% 6.38/6.60 => ! [A_1,C,B_1] :
% 6.38/6.60 ( 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_1),C)))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_306_add__strict__mono,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere223160158up_add(X_a)
% 6.38/6.60 => ! [C,D,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 6.38/6.60 => 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_1),D))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_307_add__strict__left__mono,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere223160158up_add(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => 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_1))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_308_add__strict__right__mono,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere223160158up_add(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => 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_1),C))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_309_add__less__cancel__left,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ordere236663937imp_le(X_b)
% 6.38/6.60 => ! [C_1,A_2,B] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_310_add__less__cancel__right,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ordere236663937imp_le(X_b)
% 6.38/6.60 => ! [A_2,C_1,B] :
% 6.38/6.60 ( 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),C_1)))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_311_diff__eq__diff__less,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ordered_ab_group_add(X_b)
% 6.38/6.60 => ! [A_2,B,C_1,D_1] :
% 6.38/6.60 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 6.38/6.60 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),D_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_312_Suc__less__SucD,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N)))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_313_Suc__lessD,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_314_less__SucE,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N)))
% 6.38/6.60 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => M = N ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_315_less__trans__Suc,axiom,
% 6.38/6.60 ! [K,I,J_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),K))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I)),K)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_316_Suc__lessI,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => ( hAPP(nat,nat,suc,M) != N
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_317_less__SucI,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_318_less__antisym,axiom,
% 6.38/6.60 ! [N,M] :
% 6.38/6.60 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,M)))
% 6.38/6.60 => M = N ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_319_not__less__less__Suc__eq,axiom,
% 6.38/6.60 ! [Na,M_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M_1))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M_1)))
% 6.38/6.60 <=> Na = M_1 ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_320_Suc__less__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_1)),hAPP(nat,nat,suc,Na)))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_321_less__Suc__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),hAPP(nat,nat,suc,Na)))
% 6.38/6.60 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 | M_1 = Na ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_322_not__less__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M_1))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_323_less__or__eq__imp__le,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 | M = N )
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_324_le__neq__implies__less,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.60 => ( M != N
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_325_less__imp__le__nat,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_326_le__eq__less__or__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.60 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 | M_1 = Na ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_327_nat__less__le,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.60 & M_1 != Na ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_328_diff__less__mono2,axiom,
% 6.38/6.60 ! [L,M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),L))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_329_less__imp__diff__less,axiom,
% 6.38/6.60 ! [N,J_2,K] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),K))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),N)),K)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_330_order__less__irrefl,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [X] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),X)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_331_linorder__neq__iff,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( ti(X_b,X_1) != ti(X_b,Y_1)
% 6.38/6.60 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 | hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_332_not__less__iff__gr__or__eq,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_1))
% 6.38/6.60 | ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_333_linorder__less__linear,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 | ti(X_a,X) = ti(X_a,Y)
% 6.38/6.60 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_334_linorder__antisym__conv3,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [Y_1,X_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_1))
% 6.38/6.60 => ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_335_linorder__neqE,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( ti(X_a,X) != ti(X_a,Y)
% 6.38/6.60 => ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_336_less__imp__neq,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ti(X_a,X) != ti(X_a,Y) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_337_order__less__not__sym,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_338_order__less__imp__not__less,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_339_order__less__imp__not__eq,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ti(X_a,X) != ti(X_a,Y) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_340_order__less__imp__not__eq2,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ti(X_a,Y) != ti(X_a,X) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_341_order__less__imp__triv,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( preorder(X_b)
% 6.38/6.60 => ! [Pa,X_1,Y_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_1))
% 6.38/6.60 => hBOOL(Pa) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_342_order__less__asym_H,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),A_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_343_xt1_I9_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [B_1,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),A_1))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_344_ord__eq__less__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ord(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( A_1 = B_1
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),C))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_345_xt1_I1_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( ti(X_a,A_1) = ti(X_a,B_1)
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),B_1))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_346_ord__less__eq__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ord(X_a)
% 6.38/6.60 => ! [C,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => ( B_1 = C
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_347_xt1_I2_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [C,B_1,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),A_1))
% 6.38/6.60 => ( ti(X_a,B_1) = ti(X_a,C)
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_348_order__less__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [Z,X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_349_xt1_I10_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [Z,Y,X] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_350_order__less__asym,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_351_linorder__cases,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ( ti(X_a,X) != ti(X_a,Y)
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_352_termination__basic__simps_I5_J,axiom,
% 6.38/6.60 ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Y)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_353_less__not__refl,axiom,
% 6.38/6.60 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_354_nat__neq__iff,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( M_1 != Na
% 6.38/6.60 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_355_linorder__neqE__nat,axiom,
% 6.38/6.60 ! [X,Y] :
% 6.38/6.60 ( X != Y
% 6.38/6.60 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_356_less__irrefl__nat,axiom,
% 6.38/6.60 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_357_less__not__refl2,axiom,
% 6.38/6.60 ! [N,M] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))
% 6.38/6.60 => M != N ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_358_less__not__refl3,axiom,
% 6.38/6.60 ! [S,T_3] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),S),T_3))
% 6.38/6.60 => S != T_3 ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_359_nat__less__cases,axiom,
% 6.38/6.60 ! [Pa,M_1,Na] :
% 6.38/6.60 ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M_1)) )
% 6.38/6.60 => ( ( M_1 = Na
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M_1)) )
% 6.38/6.60 => ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M_1))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M_1)) )
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_360_not__less__bot,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( bot(X_a)
% 6.38/6.60 => ! [A_1] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),bot_bot(X_a))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_361_bot__less,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( bot(X_b)
% 6.38/6.60 => ! [A_2] :
% 6.38/6.60 ( ti(X_b,A_2) != bot_bot(X_b)
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),bot_bot(X_b)),A_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_362_linorder__not__less,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_1),X_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_363_linorder__not__le,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_1)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_364_linorder__le__less__linear,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.60 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_365_order__less__le,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( order(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 & ti(X_b,X_1) != ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_366_less__le__not__le,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( preorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 & ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_1),X_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_367_order__le__less,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( order(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 | ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_368_leI,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_369_not__leE,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [Y,X] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_370_linorder__antisym__conv1,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 <=> ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_371_order__neq__le__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [A_1,B_1] :
% 6.38/6.60 ( ti(X_a,A_1) != ti(X_a,B_1)
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_372_xt1_I12_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [A_1,B_1] :
% 6.38/6.60 ( ti(X_a,A_1) != ti(X_a,B_1)
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),A_1))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),A_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_373_leD,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linorder(X_a)
% 6.38/6.60 => ! [Y,X] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_374_order__less__imp__le,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_375_linorder__antisym__conv2,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linorder(X_b)
% 6.38/6.60 => ! [X_1,Y_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_1))
% 6.38/6.60 => ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_1))
% 6.38/6.60 <=> ti(X_b,X_1) = ti(X_b,Y_1) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_376_order__le__imp__less__or__eq,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 | ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_377_order__le__neq__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.60 => ( ti(X_a,A_1) != ti(X_a,B_1)
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_378_xt1_I11_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [B_1,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),A_1))
% 6.38/6.60 => ( ti(X_a,A_1) != ti(X_a,B_1)
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),A_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_379_order__less__le__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [Z,X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_380_xt1_I7_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [Z,Y,X] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_381_order__le__less__trans,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( preorder(X_a)
% 6.38/6.60 => ! [Z,X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_382_xt1_I8_J,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( order(X_a)
% 6.38/6.60 => ! [Z,Y,X] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_383_finite__nat__set__iff__bounded,axiom,
% 6.38/6.60 ! [N_1] :
% 6.38/6.60 ( hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_1))
% 6.38/6.60 <=> ? [M_2] :
% 6.38/6.60 ! [X_2] :
% 6.38/6.60 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_1))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_2),M_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_384_nat__seg__image__imp__finite,axiom,
% 6.38/6.60 ! [X_b,A_3,F,Na] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_385_card__Collect__less__nat,axiom,
% 6.38/6.60 ! [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 ).
% 6.38/6.60
% 6.38/6.60 fof(fact_386_finite__M__bounded__by__nat,axiom,
% 6.38/6.60 ! [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))))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_387_add__le__less__mono,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere223160158up_add(X_a)
% 6.38/6.60 => ! [C,D,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 6.38/6.60 => 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_1),D))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_388_add__less__le__mono,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere223160158up_add(X_a)
% 6.38/6.60 => ! [C,D,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 6.38/6.60 => 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_1),D))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_389_less__add__Suc1,axiom,
% 6.38/6.60 ! [I,M] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),M)))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_390_less__add__Suc2,axiom,
% 6.38/6.60 ! [I,M] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),I)))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_391_less__iff__Suc__add,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na))
% 6.38/6.60 <=> ? [K_1] : Na = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_392_less__eq__Suc__le,axiom,
% 6.38/6.60 ! [Na,M_1] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M_1))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),M_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_393_less__Suc__eq__le,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),hAPP(nat,nat,suc,Na)))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_394_Suc__le__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M_1)),Na))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_395_le__imp__less__Suc,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_396_Suc__leI,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M)),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_397_le__less__Suc__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M_1)))
% 6.38/6.60 <=> Na = M_1 ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_398_Suc__le__lessD,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M)),N))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_399_diff__less__Suc,axiom,
% 6.38/6.60 ! [M,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),N)),hAPP(nat,nat,suc,M))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_400_add__diff__inverse,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)) = M ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_401_less__diff__conv,axiom,
% 6.38/6.60 ! [I_1,J_1,K_2] :
% 6.38/6.60 ( 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_2)))
% 6.38/6.60 <=> 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_2)),J_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_402_diff__less__mono,axiom,
% 6.38/6.60 ! [C,A_1,B_1] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_1),B_1))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),C),A_1))
% 6.38/6.60 => 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_1),C))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_403_less__diff__iff,axiom,
% 6.38/6.60 ! [Na,K_2,M_1] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),M_1))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),Na))
% 6.38/6.60 => ( 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),K_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K_2)))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),Na)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_404_less__eq__Suc__le__raw,axiom,
% 6.38/6.60 ! [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)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_405_mono__nat__linear__lb,axiom,
% 6.38/6.60 ! [M_1,K_2,F] :
% 6.38/6.60 ( ! [M_2,N_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,M_2)),hAPP(nat,nat,F,N_2))) )
% 6.38/6.60 => 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_1)),K_2)),hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_2)))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_406_inc__induct,axiom,
% 6.38/6.60 ! [Pa,I_1,J_1] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,Pa,J_1))
% 6.38/6.60 => ( ! [I_2] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J_1))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,I_2)))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,Pa,I_2)) ) )
% 6.38/6.60 => hBOOL(hAPP(nat,bool,Pa,I_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_407_less__imp__Suc__add,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))
% 6.38/6.60 => ? [K_1] : N = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_408_subset__psubset__trans,axiom,
% 6.38/6.60 ! [X_b,C_2,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => ( 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_2),C_2))
% 6.38/6.60 => 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)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_409_psubset__subset__trans,axiom,
% 6.38/6.60 ! [X_b,C_2,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => ( 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_2),C_2))
% 6.38/6.60 => 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)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_410_psubset__imp__subset,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => 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_2)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_411_subset__iff__psubset__eq,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 <=> ( 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_2))
% 6.38/6.60 | ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_2) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_412_psubset__eq,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 <=> ( 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_2))
% 6.38/6.60 & ti(fun(X_b,bool),A_3) != ti(fun(X_b,bool),B_2) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_413_not__psubset__empty,axiom,
% 6.38/6.60 ! [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)))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_414_less__fun__def,axiom,
% 6.38/6.60 ! [X_b,X_c] :
% 6.38/6.60 ( ord(X_c)
% 6.38/6.60 => ! [F,G] :
% 6.38/6.60 ( 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))
% 6.38/6.60 <=> ( 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))
% 6.38/6.60 & ~ 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)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_415_psubset__card__mono,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.60 => ( 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_2))
% 6.38/6.60 => 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_2))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_416_psubset__insert__iff,axiom,
% 6.38/6.60 ! [X_b,A_3,X_1,B_2] :
% 6.38/6.60 ( 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_2)))
% 6.38/6.60 <=> ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.60 => 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_2)) )
% 6.38/6.60 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
% 6.38/6.60 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.60 => 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_2)) )
% 6.38/6.60 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 6.38/6.60 => 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_2)) ) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_417_card__psubset,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_2))
% 6.38/6.60 => ( 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_2))
% 6.38/6.60 => ( 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_2)))
% 6.38/6.60 => 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_2)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_418_finite__conv__nat__seg__image,axiom,
% 6.38/6.60 ! [X_b,A_3] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 <=> ? [N_2,F_1] : 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_1),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_2))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_419_lift__Suc__mono__less,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( order(X_b)
% 6.38/6.60 => ! [Na,N_3,F] :
% 6.38/6.60 ( ! [N_2] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,N_2)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_2))))
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),N_3))
% 6.38/6.60 => 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))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_420_psubsetD,axiom,
% 6.38/6.60 ! [X_b,C_1,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 6.38/6.60 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_421_psubset__trans,axiom,
% 6.38/6.60 ! [X_b,C_2,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => ( 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_2),C_2))
% 6.38/6.60 => 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)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_422_lift__Suc__mono__less__iff,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( order(X_b)
% 6.38/6.60 => ! [Na,M_1,F] :
% 6.38/6.60 ( ! [N_2] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,N_2)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_2))))
% 6.38/6.60 => ( 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_1)))
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M_1)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_423_less__add__one,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => ! [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)))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_424_linorder__neqE__linordered__idom,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_idom(X_a)
% 6.38/6.60 => ! [X,Y] :
% 6.38/6.60 ( ti(X_a,X) != ti(X_a,Y)
% 6.38/6.60 => ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_425_bounded__nat__set__is__finite,axiom,
% 6.38/6.60 ! [Na,N_1] :
% 6.38/6.60 ( ! [X_2] :
% 6.38/6.60 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_1))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_2),Na)) )
% 6.38/6.60 => hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_426_psubset__imp__ex__mem,axiom,
% 6.38/6.60 ! [X_b,A_3,B_2] :
% 6.38/6.60 ( 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_2))
% 6.38/6.60 => ? [B_3] : 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(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),B_2),A_3))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_427_less__mono__imp__le__mono,axiom,
% 6.38/6.60 ! [I_1,J_1,F] :
% 6.38/6.60 ( ! [I_2,J] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 6.38/6.60 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,I_2)),hAPP(nat,nat,F,J))) )
% 6.38/6.60 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 6.38/6.60 => 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))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_428_Suc__lessE,axiom,
% 6.38/6.60 ! [I,K] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I)),K))
% 6.38/6.60 => ~ ! [J] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J))
% 6.38/6.60 => K != hAPP(nat,nat,suc,J) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_429_lessE,axiom,
% 6.38/6.60 ! [I,K] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K))
% 6.38/6.60 => ( K != hAPP(nat,nat,suc,I)
% 6.38/6.60 => ~ ! [J] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J))
% 6.38/6.60 => K != hAPP(nat,nat,suc,J) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_430_xt6,axiom,
% 6.38/6.60 ! [X_c,X_b] :
% 6.38/6.60 ( ( order(X_b)
% 6.38/6.60 & ord(X_c) )
% 6.38/6.60 => ! [C_1,F,B,A_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_c,X_b,F,B)),A_2))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),C_1),B))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),Y_2),X_2))
% 6.38/6.60 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,Y_2)),hAPP(X_c,X_b,F,X_2))) )
% 6.38/6.60 => 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)) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_431_dense__le,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( dense_linorder(X_a)
% 6.38/6.60 => ! [Z,Y] :
% 6.38/6.60 ( ! [X_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X_2),Z)) )
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_432_dense__le__bounded,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( dense_linorder(X_a)
% 6.38/6.60 => ! [Z,X,Y] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 6.38/6.60 => ( ! [W] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),W))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),W),Y))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),W),Z)) ) )
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_433_xt4,axiom,
% 6.38/6.60 ! [X_c,X_b] :
% 6.38/6.60 ( ( order(X_b)
% 6.38/6.60 & order(X_c) )
% 6.38/6.60 => ! [C_1,F,B,A_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,B)),A_2))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),C_1),B))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),Y_2),X_2))
% 6.38/6.60 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_c,X_b,F,Y_2)),hAPP(X_c,X_b,F,X_2))) )
% 6.38/6.60 => 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)) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_434_order__le__less__subst1,axiom,
% 6.38/6.60 ! [X_b,X_c] :
% 6.38/6.60 ( ( order(X_c)
% 6.38/6.60 & order(X_b) )
% 6.38/6.60 => ! [C_1,A_2,F,B] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),B),C_1))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),X_2),Y_2))
% 6.38/6.60 => 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_2))) )
% 6.38/6.60 => 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))) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_435_xt5,axiom,
% 6.38/6.60 ! [X_c,X_b] :
% 6.38/6.60 ( ( order(X_b)
% 6.38/6.60 & order(X_c) )
% 6.38/6.60 => ! [C_1,F,B,A_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),B),A_2))
% 6.38/6.60 => ( 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)))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_2))
% 6.38/6.60 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,Y_2)),hAPP(X_b,X_c,F,X_2))) )
% 6.38/6.60 => 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))) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_436_xt7,axiom,
% 6.38/6.60 ! [X_c,X_b] :
% 6.38/6.60 ( ( order(X_b)
% 6.38/6.60 & order(X_c) )
% 6.38/6.60 => ! [C_1,F,B,A_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),B),A_2))
% 6.38/6.60 => ( 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)))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_2),X_2))
% 6.38/6.60 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,Y_2)),hAPP(X_b,X_c,F,X_2))) )
% 6.38/6.60 => 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))) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_437_order__less__le__subst1,axiom,
% 6.38/6.60 ! [X_b,X_c] :
% 6.38/6.60 ( ( order(X_c)
% 6.38/6.60 & order(X_b) )
% 6.38/6.60 => ! [C_1,A_2,F,B] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),B),C_1))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),X_2),Y_2))
% 6.38/6.60 => 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_2))) )
% 6.38/6.60 => 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))) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_438_order__le__less__subst2,axiom,
% 6.38/6.60 ! [X_b,X_c] :
% 6.38/6.60 ( ( order(X_c)
% 6.38/6.60 & order(X_b) )
% 6.38/6.60 => ! [F,C_1,A_2,B] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,B)),C_1))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_2),Y_2))
% 6.38/6.60 => 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_2))) )
% 6.38/6.60 => 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)) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_439_order__less__le__subst2,axiom,
% 6.38/6.60 ! [X_b,X_c] :
% 6.38/6.60 ( ( order(X_c)
% 6.38/6.60 & order(X_b) )
% 6.38/6.60 => ! [F,C_1,A_2,B] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B))
% 6.38/6.60 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,B)),C_1))
% 6.38/6.60 => ( ! [X_2,Y_2] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_2),Y_2))
% 6.38/6.60 => 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_2))) )
% 6.38/6.60 => 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)) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_440_card__Plus,axiom,
% 6.38/6.60 ! [X_c,X_b,B_2,A_3] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2))
% 6.38/6.60 => 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_2)) = 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_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_441_finite__Plus__iff,axiom,
% 6.38/6.60 ! [X_b,X_c,A_3,B_2] :
% 6.38/6.60 ( 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_2)))
% 6.38/6.60 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_442_finite__Plus,axiom,
% 6.38/6.60 ! [X_c,X_b,B_2,A_3] :
% 6.38/6.60 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2))
% 6.38/6.60 => 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_2))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_443_finite__PlusD_I1_J,axiom,
% 6.38/6.60 ! [X_b,X_c,A_3,B_2] :
% 6.38/6.60 ( 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_2)))
% 6.38/6.60 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_444_finite__PlusD_I2_J,axiom,
% 6.38/6.60 ! [X_b,X_c,A_3,B_2] :
% 6.38/6.60 ( 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_2)))
% 6.38/6.60 => hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_445_Plus__eq__empty__conv,axiom,
% 6.38/6.60 ! [X_c,X_b,A_3,B_2] :
% 6.38/6.60 ( 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_2) = bot_bot(fun(sum_sum(X_b,X_c),bool))
% 6.38/6.60 <=> ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 6.38/6.60 & ti(fun(X_c,bool),B_2) = bot_bot(fun(X_c,bool)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_446_card__Plus__conv__if,axiom,
% 6.38/6.60 ! [X_c,X_b,B_2,A_3] :
% 6.38/6.60 ( ( ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2)) )
% 6.38/6.60 => 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_2)) = 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_2)) )
% 6.38/6.60 & ( ~ ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_2)) )
% 6.38/6.60 => 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_2)) = zero_zero(nat) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_447_less__zeroE,axiom,
% 6.38/6.60 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_448_le0,axiom,
% 6.38/6.60 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),N)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_449_zero__less__Suc,axiom,
% 6.38/6.60 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,N))) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_450_card__infinite,axiom,
% 6.38/6.60 ! [X_b,A_3] :
% 6.38/6.60 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 6.38/6.60 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = zero_zero(nat) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_451_card_Oempty,axiom,
% 6.38/6.60 ! [X_b] : hAPP(fun(X_b,bool),nat,finite_card(X_b),bot_bot(fun(X_b,bool))) = zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_452_zero__less__one,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),one_one(X_a))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_453_not__one__less__zero,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),zero_zero(X_a))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_454_pos__add__strict,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => ! [B_1,C,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),C))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_455_not__one__le__zero,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => ~ 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))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_456_zero__le__one,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( linordered_semidom(X_a)
% 6.38/6.60 => 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))) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_457_one__neq__zero,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( zero_neq_one(X_a)
% 6.38/6.60 => one_one(X_a) != zero_zero(X_a) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_458_zero__neq__one,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( zero_neq_one(X_a)
% 6.38/6.60 => zero_zero(X_a) != one_one(X_a) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_459_zero__le__double__add__iff__zero__le__single__add,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linord219039673up_add(X_b)
% 6.38/6.60 => ! [A_2] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),A_2)) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_460_double__add__le__zero__iff__single__add__le__zero,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linord219039673up_add(X_b)
% 6.38/6.60 => ! [A_2] :
% 6.38/6.60 ( 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)))
% 6.38/6.60 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),zero_zero(X_b))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_461_add__nonneg__nonneg,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere216010020id_add(X_a)
% 6.38/6.60 => ! [B_1,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B_1))
% 6.38/6.60 => 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_1))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_462_add__nonneg__eq__0__iff,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ordere216010020id_add(X_b)
% 6.38/6.60 => ! [Y_1,X_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),X_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),Y_1))
% 6.38/6.60 => ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),X_1),Y_1) = zero_zero(X_b)
% 6.38/6.60 <=> ( ti(X_b,X_1) = zero_zero(X_b)
% 6.38/6.60 & ti(X_b,Y_1) = zero_zero(X_b) ) ) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_463_add__increasing,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere216010020id_add(X_a)
% 6.38/6.60 => ! [B_1,C,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),C))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_464_add__increasing2,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere216010020id_add(X_a)
% 6.38/6.60 => ! [B_1,A_1,C] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),A_1))
% 6.38/6.60 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_465_add__nonpos__nonpos,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( ordere216010020id_add(X_a)
% 6.38/6.60 => ! [B_1,A_1] :
% 6.38/6.60 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 6.38/6.60 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B_1),zero_zero(X_a)))
% 6.38/6.60 => 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_1)),zero_zero(X_a))) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_466_le__iff__diff__le__0,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ordered_ab_group_add(X_b)
% 6.38/6.60 => ! [A_2,B] :
% 6.38/6.60 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B))
% 6.38/6.60 <=> 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)),zero_zero(X_b))) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_467_add__is__1,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),Na) = hAPP(nat,nat,suc,zero_zero(nat))
% 6.38/6.60 <=> ( ( M_1 = hAPP(nat,nat,suc,zero_zero(nat))
% 6.38/6.60 & Na = zero_zero(nat) )
% 6.38/6.60 | ( M_1 = zero_zero(nat)
% 6.38/6.60 & Na = hAPP(nat,nat,suc,zero_zero(nat)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_468_one__is__add,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hAPP(nat,nat,suc,zero_zero(nat)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),Na)
% 6.38/6.60 <=> ( ( M_1 = hAPP(nat,nat,suc,zero_zero(nat))
% 6.38/6.60 & Na = zero_zero(nat) )
% 6.38/6.60 | ( M_1 = zero_zero(nat)
% 6.38/6.60 & Na = hAPP(nat,nat,suc,zero_zero(nat)) ) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_469_diff__add__0,axiom,
% 6.38/6.60 ! [N,M] : 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)) = zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_470_diff__is__0__eq_H,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),N))
% 6.38/6.60 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) = zero_zero(nat) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_471_diff__is__0__eq,axiom,
% 6.38/6.60 ! [M_1,Na] :
% 6.38/6.60 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),Na) = zero_zero(nat)
% 6.38/6.60 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),Na)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_472_One__nat__def,axiom,
% 6.38/6.60 one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_473_diffs0__imp__equal,axiom,
% 6.38/6.60 ! [M,N] :
% 6.38/6.60 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N) = zero_zero(nat)
% 6.38/6.60 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),M) = zero_zero(nat)
% 6.38/6.60 => M = N ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_474_diff__self__eq__0,axiom,
% 6.38/6.60 ! [M] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),M) = zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_475_minus__nat_Odiff__0,axiom,
% 6.38/6.60 ! [M] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),zero_zero(nat)) = M ).
% 6.38/6.60
% 6.38/6.60 fof(fact_476_diff__0__eq__0,axiom,
% 6.38/6.60 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),N) = zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_477_diff__0__right,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( group_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_478_diff__self,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( group_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_479_eq__iff__diff__eq__0,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( ab_group_add(X_b)
% 6.38/6.60 => ! [A_2,B] :
% 6.38/6.60 ( ti(X_b,A_2) = ti(X_b,B)
% 6.38/6.60 <=> hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B) = zero_zero(X_b) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_480_right__minus__eq,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( group_add(X_b)
% 6.38/6.60 => ! [A_2,B] :
% 6.38/6.60 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B) = zero_zero(X_b)
% 6.38/6.60 <=> ti(X_b,A_2) = ti(X_b,B) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_481_Suc__neq__Zero,axiom,
% 6.38/6.60 ! [M] : hAPP(nat,nat,suc,M) != zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_482_Zero__neq__Suc,axiom,
% 6.38/6.60 ! [M] : zero_zero(nat) != hAPP(nat,nat,suc,M) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_483_nat_Osimps_I3_J,axiom,
% 6.38/6.60 ! [Nat_1] : hAPP(nat,nat,suc,Nat_1) != zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_484_Suc__not__Zero,axiom,
% 6.38/6.60 ! [M] : hAPP(nat,nat,suc,M) != zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_485_nat_Osimps_I2_J,axiom,
% 6.38/6.60 ! [Nat] : zero_zero(nat) != hAPP(nat,nat,suc,Nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_486_Zero__not__Suc,axiom,
% 6.38/6.60 ! [M] : zero_zero(nat) != hAPP(nat,nat,suc,M) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_487_zero__reorient,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( zero(X_b)
% 6.38/6.60 => ! [X_1] :
% 6.38/6.60 ( zero_zero(X_b) = ti(X_b,X_1)
% 6.38/6.60 <=> ti(X_b,X_1) = zero_zero(X_b) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_488_bot__nat__def,axiom,
% 6.38/6.60 bot_bot(nat) = zero_zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_489_le__0__eq,axiom,
% 6.38/6.60 ! [Na] :
% 6.38/6.60 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),zero_zero(nat)))
% 6.38/6.60 <=> Na = zero_zero(nat) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_490_less__eq__nat_Osimps_I1_J,axiom,
% 6.38/6.60 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),N)) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_491_nat__case__0,axiom,
% 6.38/6.60 ! [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) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_492_add__0__left,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( monoid_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_493_add__0,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( comm_monoid_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_494_double__zero__sym,axiom,
% 6.38/6.60 ! [X_b] :
% 6.38/6.60 ( linord219039673up_add(X_b)
% 6.38/6.60 => ! [A_2] :
% 6.38/6.60 ( 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)
% 6.38/6.60 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_495_add__0__right,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( monoid_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 fof(fact_496_add_Ocomm__neutral,axiom,
% 6.38/6.60 ! [X_a] :
% 6.38/6.60 ( comm_monoid_add(X_a)
% 6.38/6.60 => ! [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) ) ).
% 6.38/6.60
% 6.38/6.60 %----Arities (32)
% 6.38/6.60 fof(arity_fun___Orderings_Opreorder,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( preorder(T_1)
% 6.38/6.60 => preorder(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_fun___Finite__Set_Ofinite,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( ( finite_finite_1(T_1)
% 6.38/6.60 & finite_finite_1(T_2) )
% 6.38/6.60 => finite_finite_1(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_fun___Orderings_Oorder,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( order(T_1)
% 6.38/6.60 => order(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_fun___Orderings_Oord,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( ord(T_1)
% 6.38/6.60 => ord(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_fun___Orderings_Obot,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( bot(T_1)
% 6.38/6.60 => bot(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_fun___Groups_Ominus,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( minus(T_1)
% 6.38/6.60 => minus(fun(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 6.38/6.60 ordere223160158up_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 6.38/6.60 ordere236663937imp_le(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oordered__ab__semigroup__add,axiom,
% 6.38/6.60 ordere779506340up_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oordered__comm__monoid__add,axiom,
% 6.38/6.60 ordere216010020id_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Ocancel__ab__semigroup__add,axiom,
% 6.38/6.60 cancel146912293up_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Ocancel__semigroup__add,axiom,
% 6.38/6.60 cancel_semigroup_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Rings_Olinordered__semidom,axiom,
% 6.38/6.60 linordered_semidom(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oab__semigroup__add,axiom,
% 6.38/6.60 ab_semigroup_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Ocomm__monoid__add,axiom,
% 6.38/6.60 comm_monoid_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Rings_Ozero__neq__one,axiom,
% 6.38/6.60 zero_neq_one(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Orderings_Opreorder,axiom,
% 6.38/6.60 preorder(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Orderings_Olinorder,axiom,
% 6.38/6.60 linorder(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Omonoid__add,axiom,
% 6.38/6.60 monoid_add(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Orderings_Oorder,axiom,
% 6.38/6.60 order(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Orderings_Oord,axiom,
% 6.38/6.60 ord(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Orderings_Obot,axiom,
% 6.38/6.60 bot(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Ominus,axiom,
% 6.38/6.60 minus(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Ozero,axiom,
% 6.38/6.60 zero(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_Nat_Onat___Groups_Oone,axiom,
% 6.38/6.60 one(nat) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Orderings_Opreorder,axiom,
% 6.38/6.60 preorder(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Finite__Set_Ofinite,axiom,
% 6.38/6.60 finite_finite_1(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Orderings_Oorder,axiom,
% 6.38/6.60 order(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Orderings_Oord,axiom,
% 6.38/6.60 ord(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Orderings_Obot,axiom,
% 6.38/6.60 bot(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_HOL_Obool___Groups_Ominus,axiom,
% 6.38/6.60 minus(bool) ).
% 6.38/6.60
% 6.38/6.60 fof(arity_sum___Finite__Set_Ofinite,axiom,
% 6.38/6.60 ! [T_2,T_1] :
% 6.38/6.60 ( ( finite_finite_1(T_1)
% 6.38/6.60 & finite_finite_1(T_2) )
% 6.38/6.60 => finite_finite_1(sum_sum(T_2,T_1)) ) ).
% 6.38/6.60
% 6.38/6.60 %----Helper facts (21)
% 6.38/6.60 fof(help_ti_idem,axiom,
% 6.38/6.60 ! [T,A] : ti(T,ti(T,A)) = ti(T,A) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fNot_1_1_U,axiom,
% 6.38/6.60 ! [P] :
% 6.38/6.60 ( ~ hBOOL(hAPP(bool,bool,fNot,P))
% 6.38/6.60 | ~ hBOOL(P) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fNot_2_1_U,axiom,
% 6.38/6.60 ! [P] :
% 6.38/6.60 ( hBOOL(P)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,fNot,P)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_COMBB_1_1_U,axiom,
% 6.38/6.60 ! [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)) ).
% 6.38/6.60
% 6.38/6.60 fof(help_COMBC_1_1_U,axiom,
% 6.38/6.60 ! [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) ).
% 6.38/6.60
% 6.38/6.60 fof(help_COMBI_1_1_U,axiom,
% 6.38/6.60 ! [X_a,P] : hAPP(X_a,X_a,combi(X_a),P) = ti(X_a,P) ).
% 6.38/6.60
% 6.38/6.60 fof(help_COMBK_1_1_U,axiom,
% 6.38/6.60 ! [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) ).
% 6.38/6.60
% 6.38/6.60 fof(help_COMBS_1_1_U,axiom,
% 6.38/6.60 ! [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)) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fconj_1_1_U,axiom,
% 6.38/6.60 ! [Q,P] :
% 6.38/6.60 ( ~ hBOOL(P)
% 6.38/6.60 | ~ hBOOL(Q)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fconj_2_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))
% 6.38/6.60 | hBOOL(P) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fconj_3_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))
% 6.38/6.60 | hBOOL(Q) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fdisj_1_1_U,axiom,
% 6.38/6.60 ! [Q,P] :
% 6.38/6.60 ( ~ hBOOL(P)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fdisj_2_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(Q)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fdisj_3_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))
% 6.38/6.60 | hBOOL(P)
% 6.38/6.60 | hBOOL(Q) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fFalse_1_1_U,axiom,
% 6.38/6.60 ~ hBOOL(fFalse) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fFalse_1_1_T,axiom,
% 6.38/6.60 ! [P] :
% 6.38/6.60 ( ti(bool,P) = fTrue
% 6.38/6.60 | ti(bool,P) = fFalse ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fequal_1_1_T,axiom,
% 6.38/6.60 ! [X_a,X,Y] :
% 6.38/6.60 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y))
% 6.38/6.60 | ti(X_a,X) = ti(X_a,Y) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fequal_2_1_T,axiom,
% 6.38/6.60 ! [X_a,X,Y] :
% 6.38/6.60 ( ti(X_a,X) != ti(X_a,Y)
% 6.38/6.60 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fimplies_1_1_U,axiom,
% 6.38/6.60 ! [Q,P] :
% 6.38/6.60 ( hBOOL(P)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fimplies_2_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(Q)
% 6.38/6.60 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) ) ).
% 6.38/6.60
% 6.38/6.60 fof(help_fimplies_3_1_U,axiom,
% 6.38/6.60 ! [P,Q] :
% 6.38/6.60 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q))
% 6.38/6.60 | ~ hBOOL(P)
% 6.38/6.60 | hBOOL(Q) ) ).
% 6.38/6.60
% 6.38/6.60 %----Conjectures (7)
% 6.38/6.60 fof(conj_0,hypothesis,
% 6.38/6.60 hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_1,hypothesis,
% 6.38/6.60 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))) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_2,hypothesis,
% 6.38/6.60 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)))) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_3,hypothesis,
% 6.38/6.60 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)) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_4,hypothesis,
% 6.38/6.60 hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_5,hypothesis,
% 6.38/6.60 ~ 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)) ).
% 6.38/6.60
% 6.38/6.60 fof(conj_6,conjecture,
% 6.38/6.60 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))) ).
% 6.38/6.60
% 6.38/6.60 %------------------------------------------------------------------------------
% 6.38/6.60 %-------------------------------------------
% 6.38/6.60 % Proof found
% 6.38/6.60 % SZS status Theorem for theBenchmark
% 6.38/6.60 % SZS output start Proof
% 6.38/6.61 %ClaNum:1186(EqnAxiom:371)
% 6.38/6.61 %VarNum:10773(SingletonVarNum:1848)
% 6.38/6.61 %MaxLitNum:6
% 6.38/6.61 %MaxfuncDepth:8
% 6.38/6.61 %SharedTerms:183
% 6.38/6.61 %goalClause: 548
% 6.38/6.61 %singleGoalClaCount:1
% 6.38/6.61 [372]P1(a1)
% 6.38/6.61 [373]P1(a3)
% 6.38/6.61 [374]P16(a3)
% 6.38/6.61 [375]P17(a3)
% 6.38/6.61 [376]P2(a3)
% 6.38/6.61 [377]P4(a3)
% 6.38/6.61 [378]P18(a3)
% 6.38/6.61 [379]P5(a1)
% 6.38/6.61 [380]P5(a3)
% 6.38/6.61 [381]P19(a1)
% 6.38/6.61 [382]P19(a3)
% 6.38/6.61 [383]P7(a1)
% 6.38/6.61 [384]P20(a1)
% 6.38/6.61 [385]P20(a3)
% 6.38/6.61 [386]P21(a1)
% 6.38/6.61 [387]P21(a3)
% 6.38/6.61 [388]P10(a3)
% 6.38/6.61 [389]P22(a3)
% 6.38/6.61 [390]P25(a3)
% 6.38/6.61 [391]P6(a3)
% 6.38/6.61 [392]P23(a3)
% 6.38/6.61 [393]P14(a3)
% 6.38/6.61 [394]P27(a3)
% 6.38/6.61 [395]P24(a3)
% 6.38/6.61 [396]P8(a3)
% 6.38/6.61 [527]~P11(a11)
% 6.38/6.61 [397]E(f114(a3),f4(a3))
% 6.38/6.61 [398]E(f10(a115,a115,f5(a115),a116),a116)
% 6.38/6.61 [399]E(f10(a1,a1,f5(a1),a11),a11)
% 6.38/6.61 [400]E(f10(a1,a1,f5(a1),a93),a93)
% 6.38/6.61 [401]E(f10(a3,a3,f5(a3),a107),a107)
% 6.38/6.61 [402]E(f10(a3,a3,a125,f114(a3)),f117(a3))
% 6.38/6.61 [414]E(f10(f95(f119(a6),a6),f95(f119(a6),a6),f5(f95(f119(a6),a6)),f128(a6)),f128(a6))
% 6.38/6.61 [418]P11(f10(f95(a115,a1),a1,f103(a115),a127))
% 6.38/6.61 [511]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(f95(a133,a1),a3,f96(a133),f10(f95(a115,a1),f95(a133,a1),f10(f95(a115,a133),f95(f95(a115,a1),f95(a133,a1)),f112(a115,a133),a108),a127))),f10(a3,a3,a125,a107)),f10(f95(a133,a1),a3,f96(a133),a106))
% 6.38/6.61 [405]E(f10(f95(a115,a1),f95(a115,a1),f5(f95(a115,a1)),a127),a127)
% 6.38/6.61 [406]E(f10(f95(a115,a133),f95(a115,a133),f5(f95(a115,a133)),a108),a108)
% 6.38/6.61 [407]E(f10(f95(a6,a1),f95(a6,a1),f5(f95(a6,a1)),a134),a134)
% 6.38/6.61 [408]E(f10(f95(a6,a133),f95(a6,a133),f5(f95(a6,a133)),a109),a109)
% 6.38/6.61 [409]E(f10(f95(a1,a1),f95(a1,a1),f5(f95(a1,a1)),a94),a94)
% 6.38/6.61 [410]E(f10(f95(a3,a3),f95(a3,a3),f5(f95(a3,a3)),a125),a125)
% 6.38/6.61 [411]E(f10(f95(a133,a1),f95(a133,a1),f5(f95(a133,a1)),a106),a106)
% 6.38/6.61 [461]P11(f10(f95(a115,a1),a1,f10(a115,f95(f95(a115,a1),a1),f110(a115),a116),a127))
% 6.38/6.61 [545]~P11(f10(f95(a133,a1),a1,f10(a133,f95(f95(a133,a1),a1),f110(a133),f10(a115,a133,a108,a116)),a106))
% 6.38/6.61 [413]E(f10(f95(a115,f119(a6)),f95(a115,f119(a6)),f5(f95(a115,f119(a6))),a2),a2)
% 6.38/6.61 [415]E(f10(f95(a1,f95(a1,a1)),f95(a1,f95(a1,a1)),f5(f95(a1,f95(a1,a1))),a97),a97)
% 6.38/6.61 [416]E(f10(f95(a1,f95(a1,a1)),f95(a1,f95(a1,a1)),f5(f95(a1,f95(a1,a1))),a98),a98)
% 6.38/6.61 [417]E(f10(f95(a1,f95(a1,a1)),f95(a1,f95(a1,a1)),f5(f95(a1,f95(a1,a1))),a99),a99)
% 6.38/6.61 [500]P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),f122(f95(a133,a1)),a106),f10(f95(a115,a1),f95(a133,a1),f10(f95(a115,a133),f95(f95(a115,a1),f95(a133,a1)),f112(a115,a133),a108),a127)))
% 6.38/6.61 [548]~P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),f122(f95(a133,a1)),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a115,a133,a108,a116)),a106)),f10(f95(a115,a1),f95(a133,a1),f10(f95(a115,a133),f95(f95(a115,a1),f95(a133,a1)),f112(a115,a133),a108),a127)))
% 6.38/6.61 [438]E(f10(f95(f95(a133,a1),f95(f95(a133,a1),a1)),f95(f95(a133,a1),f95(f95(a133,a1),a1)),f5(f95(f95(a133,a1),f95(f95(a133,a1),a1))),a121),a121)
% 6.38/6.61 [517]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,a107)),f10(f95(a133,a1),a3,f96(a133),f10(f95(a115,a1),f95(a133,a1),f10(f95(a115,a133),f95(f95(a115,a1),f95(a133,a1)),f112(a115,a133),a108),a127))))
% 6.38/6.61 [529]~E(f10(a3,a3,a125,x5291),x5291)
% 6.38/6.61 [535]~E(f10(a3,a3,a125,x5351),f114(a3))
% 6.38/6.61 [403]E(f10(x4031,x4031,f5(x4031),f126(x4031)),f126(x4031))
% 6.38/6.61 [412]E(f10(f95(x4121,x4121),f95(x4121,x4121),f5(f95(x4121,x4121)),f5(x4121)),f5(x4121))
% 6.38/6.61 [419]E(f10(f95(f95(x4191,a1),a1),f95(f95(x4191,a1),a1),f5(f95(f95(x4191,a1),a1)),f103(x4191)),f103(x4191))
% 6.38/6.61 [420]E(f10(f95(f95(x4201,a1),a3),f95(f95(x4201,a1),a3),f5(f95(f95(x4201,a1),a3)),f96(x4201)),f96(x4201))
% 6.38/6.61 [421]E(f10(f95(x4211,f95(x4211,a1)),f95(x4211,f95(x4211,a1)),f5(f95(x4211,f95(x4211,a1))),f100(x4211)),f100(x4211))
% 6.38/6.61 [422]E(f10(f95(f95(x4221,a1),x4221),f95(f95(x4221,a1),x4221),f5(f95(f95(x4221,a1),x4221)),f129(x4221)),f129(x4221))
% 6.38/6.61 [423]E(f10(f95(f95(x4231,a1),x4231),f95(f95(x4231,a1),x4231),f5(f95(f95(x4231,a1),x4231)),f132(x4231)),f132(x4231))
% 6.38/6.61 [427]E(f10(f95(f95(x4271,a1),f95(x4271,a1)),f95(f95(x4271,a1),f95(x4271,a1)),f5(f95(f95(x4271,a1),f95(x4271,a1))),f7(x4271)),f7(x4271))
% 6.38/6.61 [429]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4291),f114(a3)),x4291)
% 6.38/6.61 [432]E(f10(f95(x4321,f95(f95(x4321,a1),a1)),f95(x4321,f95(f95(x4321,a1),a1)),f5(f95(x4321,f95(f95(x4321,a1),a1))),f110(x4321)),f110(x4321))
% 6.38/6.61 [433]E(f10(f95(x4331,f95(f95(x4331,a1),x4331)),f95(x4331,f95(f95(x4331,a1),x4331)),f5(f95(x4331,f95(f95(x4331,a1),x4331))),f120(x4331)),f120(x4331))
% 6.38/6.61 [439]E(f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x4391)),f10(a3,f95(a3,a1),f123(a3),x4391))
% 6.38/6.61 [440]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4401),f117(a3)),f10(a3,a3,a125,x4401))
% 6.38/6.61 [444]P11(f10(f95(x4441,f95(f95(x4441,a1),f95(x4441,a1))),a1,f104(x4441,f95(x4441,a1)),f111(x4441)))
% 6.38/6.61 [449]E(f10(f95(x4491,f95(f95(x4491,a1),f95(x4491,a1))),f95(x4491,f95(f95(x4491,a1),f95(x4491,a1))),f5(f95(x4491,f95(f95(x4491,a1),f95(x4491,a1)))),f111(x4491)),f111(x4491))
% 6.38/6.61 [450]E(f10(f95(x4501,f95(f95(a3,x4501),f95(a3,x4501))),f95(x4501,f95(f95(a3,x4501),f95(a3,x4501))),f5(f95(x4501,f95(f95(a3,x4501),f95(a3,x4501)))),f118(x4501)),f118(x4501))
% 6.38/6.61 [458]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,x4581)),f117(a3)),x4581)
% 6.38/6.61 [466]E(f10(f95(f95(x4661,f95(x4661,x4661)),f95(f95(f95(x4661,a1),x4661),a1)),f95(f95(x4661,f95(x4661,x4661)),f95(f95(f95(x4661,a1),x4661),a1)),f5(f95(f95(x4661,f95(x4661,x4661)),f95(f95(f95(x4661,a1),x4661),a1))),f105(x4661)),f105(x4661))
% 6.38/6.61 [467]E(f10(f95(f95(x4671,f95(x4671,x4671)),f95(f95(f95(x4671,a1),x4671),a1)),f95(f95(x4671,f95(x4671,x4671)),f95(f95(f95(x4671,a1),x4671),a1)),f5(f95(f95(x4671,f95(x4671,x4671)),f95(f95(f95(x4671,a1),x4671),a1))),f101(x4671)),f101(x4671))
% 6.38/6.61 [470]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x4701),f10(a3,a3,a125,x4701)))
% 6.38/6.61 [471]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f114(a3)),f10(a3,a3,a125,x4711)))
% 6.38/6.61 [540]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x5401),f114(a3)))
% 6.38/6.61 [404]E(f10(f95(x4041,a1),a3,f96(x4041),f4(f95(x4041,a1))),f114(a3))
% 6.38/6.61 [426]P11(f10(f95(x4261,a1),a1,f103(x4261),f4(f95(x4261,a1))))
% 6.38/6.61 [428]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4281),x4281),f114(a3))
% 6.38/6.61 [430]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f114(a3)),x4301),f114(a3))
% 6.38/6.61 [431]E(f10(f95(x4311,a1),f95(x4311,a1),f7(x4311),f10(a1,f95(x4311,a1),f12(a1,x4311),a11)),f4(f95(x4311,a1)))
% 6.38/6.61 [441]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f117(a3)),x4411),f10(a3,a3,a125,x4411))
% 6.38/6.61 [454]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x4541),x4541))
% 6.38/6.61 [457]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f114(a3)),x4571))
% 6.38/6.61 [539]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x5391),x5391))
% 6.38/6.61 [544]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x5441)),x5441))
% 6.38/6.61 [491]E(f10(f95(a3,a1),a3,f96(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f123(a3)),x4911))),x4911)
% 6.38/6.61 [492]E(f10(f95(a3,a1),a3,f96(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f122(a3)),x4921))),f10(a3,a3,a125,x4921))
% 6.38/6.61 [513]P11(f10(f95(a3,a1),a1,f103(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f123(a3)),x5131))))
% 6.38/6.61 [514]P11(f10(f95(a3,a1),a1,f103(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f122(a3)),x5141))))
% 6.38/6.61 [522]P11(f10(f95(x5221,f95(f95(x5221,a1),f95(x5221,a1))),a1,f104(x5221,f95(x5221,a1)),f10(f95(x5221,f95(x5221,a1)),f95(x5221,f95(f95(x5221,a1),f95(x5221,a1))),f10(f95(f95(x5221,a1),f95(f95(x5221,a1),f95(x5221,a1))),f95(f95(x5221,f95(x5221,a1)),f95(x5221,f95(f95(x5221,a1),f95(x5221,a1)))),f8(f95(x5221,a1),f95(f95(x5221,a1),f95(x5221,a1)),x5221),f10(f95(f95(x5221,a1),f95(f95(x5221,a1),f95(x5221,a1))),f95(f95(x5221,a1),f95(f95(x5221,a1),f95(x5221,a1))),f9(f95(x5221,a1),f95(x5221,a1),f95(x5221,a1)),f113(f95(x5221,a1)))),f10(f95(x5221,a1),f95(x5221,f95(x5221,a1)),f10(f95(x5221,f95(f95(x5221,a1),f95(x5221,a1))),f95(f95(x5221,a1),f95(x5221,f95(x5221,a1))),f9(x5221,f95(x5221,a1),f95(x5221,a1)),f111(x5221)),f4(f95(x5221,a1))))))
% 6.38/6.61 [424]E(f10(f95(x4241,f95(x4242,x4241)),f95(x4241,f95(x4242,x4241)),f5(f95(x4241,f95(x4242,x4241))),f12(x4241,x4242)),f12(x4241,x4242))
% 6.38/6.61 [436]E(f10(f95(f95(x4361,f95(x4362,x4362)),a1),f95(f95(x4361,f95(x4362,x4362)),a1),f5(f95(f95(x4361,f95(x4362,x4362)),a1)),f104(x4361,x4362)),f104(x4361,x4362))
% 6.38/6.61 [452]E(f10(f95(f95(x4521,x4522),f95(f95(x4521,a1),f95(x4522,a1))),f95(f95(x4521,x4522),f95(f95(x4521,a1),f95(x4522,a1))),f5(f95(f95(x4521,x4522),f95(f95(x4521,a1),f95(x4522,a1)))),f112(x4521,x4522)),f112(x4521,x4522))
% 6.38/6.61 [469]E(f10(f95(f95(x4691,a1),f95(f95(x4692,a1),f95(f130(x4691,x4692),a1))),f95(f95(x4691,a1),f95(f95(x4692,a1),f95(f130(x4691,x4692),a1))),f5(f95(f95(x4691,a1),f95(f95(x4692,a1),f95(f130(x4691,x4692),a1)))),f131(x4691,x4692)),f131(x4691,x4692))
% 6.38/6.61 [505]E(f10(f95(f95(x5051,f95(x5051,x5051)),f95(x5051,f95(f95(x5052,x5051),f95(f95(f95(x5052,a1),x5051),a1)))),f95(f95(x5051,f95(x5051,x5051)),f95(x5051,f95(f95(x5052,x5051),f95(f95(f95(x5052,a1),x5051),a1)))),f5(f95(f95(x5051,f95(x5051,x5051)),f95(x5051,f95(f95(x5052,x5051),f95(f95(f95(x5052,a1),x5051),a1))))),f102(x5051,x5052)),f102(x5051,x5052))
% 6.38/6.61 [509]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x5091),x5092)),f10(a3,a3,a125,x5091)))
% 6.38/6.61 [425]E(f10(f95(x4251,a1),f95(x4251,a1),f5(f95(x4251,a1)),x4252),f10(f95(x4251,a1),f95(x4251,a1),f7(x4251),x4252))
% 6.38/6.61 [442]E(f10(f95(x4421,a1),x4421,f129(x4421),f10(x4421,f95(x4421,a1),f100(x4421),x4422)),f10(x4421,x4421,f5(x4421),x4422))
% 6.38/6.61 [451]E(f10(f95(x4511,a1),f95(x4511,a1),f10(f95(x4511,x4511),f95(f95(x4511,a1),f95(x4511,a1)),f112(x4511,x4511),f5(x4511)),x4512),f10(f95(x4511,a1),f95(x4511,a1),f5(f95(x4511,a1)),x4512))
% 6.38/6.61 [453]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4531),x4532),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4532),x4531))
% 6.38/6.61 [455]E(f10(f95(x4551,a1),f95(x4551,a1),f10(f95(x4551,a1),f95(f95(x4551,a1),f95(x4551,a1)),f113(f95(x4551,a1)),x4552),f4(f95(x4551,a1))),f10(f95(x4551,a1),f95(x4551,a1),f5(f95(x4551,a1)),x4552))
% 6.38/6.61 [462]E(f10(f95(x4621,a1),f95(x4621,a1),f10(x4621,f95(f95(x4621,a1),f95(x4621,a1)),f111(x4621),x4622),f4(f95(x4621,a1))),f10(f95(x4621,a1),f95(x4621,a1),f7(x4621),f10(x4621,f95(x4621,a1),f100(x4621),x4622)))
% 6.38/6.61 [474]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,a125,x4741)),x4742),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4741),f10(a3,a3,a125,x4742)))
% 6.38/6.61 [475]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,x4751)),f10(a3,a3,a125,x4752)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4751),x4752))
% 6.38/6.61 [542]~P11(f10(f95(x5421,a1),a1,f10(x5421,f95(f95(x5421,a1),a1),f110(x5421),x5422),f4(f95(x5421,a1))))
% 6.38/6.61 [543]~P11(f10(f95(x5431,a1),a1,f10(f95(x5431,a1),f95(f95(x5431,a1),a1),f123(f95(x5431,a1)),x5432),f4(f95(x5431,a1))))
% 6.38/6.61 [445]E(f10(f95(x4451,a1),f95(x4451,a1),f10(f95(x4451,a1),f95(f95(x4451,a1),f95(x4451,a1)),f113(f95(x4451,a1)),x4452),x4452),f4(f95(x4451,a1)))
% 6.38/6.61 [448]E(f10(f95(x4481,a1),f95(x4481,a1),f10(f95(x4481,a1),f95(f95(x4481,a1),f95(x4481,a1)),f113(f95(x4481,a1)),f4(f95(x4481,a1))),x4482),f4(f95(x4481,a1)))
% 6.38/6.61 [463]P11(f10(f95(x4631,a1),a1,f10(f95(x4631,a1),f95(f95(x4631,a1),a1),f122(f95(x4631,a1)),x4632),x4632))
% 6.38/6.61 [465]P11(f10(f95(x4651,a1),a1,f10(f95(x4651,a1),f95(f95(x4651,a1),a1),f122(f95(x4651,a1)),f4(f95(x4651,a1))),x4652))
% 6.38/6.61 [468]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4681),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4681),x4682)),f114(a3))
% 6.38/6.61 [473]E(f10(f95(x4731,a1),x4731,f132(x4731),f10(f95(x4731,a1),f95(x4731,a1),f10(x4731,f95(f95(x4731,a1),f95(x4731,a1)),f111(x4731),x4732),f4(f95(x4731,a1)))),f10(x4731,x4731,f5(x4731),x4732))
% 6.38/6.61 [477]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4771),f10(a3,a3,a125,x4772)),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4771),x4772)))
% 6.38/6.61 [478]E(f10(f95(x4781,a1),x4781,f129(x4781),f10(x4781,f95(x4781,a1),f10(f95(x4781,f95(x4781,a1)),f95(x4781,f95(x4781,a1)),f9(x4781,x4781,a1),f100(x4781)),x4782)),f10(x4781,x4781,f5(x4781),x4782))
% 6.38/6.61 [479]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,a125,x4791)),x4792),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4791),x4792)))
% 6.38/6.61 [484]E(f10(f95(x4841,a1),f95(x4841,a1),f7(x4841),f10(x4841,f95(x4841,a1),f10(f95(x4841,f95(x4841,a1)),f95(x4841,f95(x4841,a1)),f9(x4841,x4841,a1),f100(x4841)),x4842)),f10(f95(x4841,a1),f95(x4841,a1),f10(x4841,f95(f95(x4841,a1),f95(x4841,a1)),f111(x4841),x4842),f4(f95(x4841,a1))))
% 6.38/6.61 [488]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x4881),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4882),x4881)))
% 6.38/6.61 [489]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x4891),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4891),x4892)))
% 6.38/6.61 [490]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4901),f117(a3))),x4902),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4901),f10(a3,a3,a125,x4902)))
% 6.38/6.61 [482]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4821),x4822)),x4822),x4821)
% 6.38/6.61 [483]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4831),x4832)),x4831),x4832)
% 6.38/6.61 [504]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x5041),x5042)),x5041))
% 6.38/6.61 [507]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x5071),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5072),x5071))))
% 6.38/6.61 [508]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x5081),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5081),x5082))))
% 6.38/6.61 [518]E(f10(f95(x5181,a1),x5181,f129(x5181),f10(f95(x5181,f95(x5181,a1)),f95(x5181,a1),f10(f95(f95(x5181,a1),a1),f95(f95(x5181,f95(x5181,a1)),f95(x5181,a1)),f8(f95(x5181,a1),a1,x5181),f10(f95(x5181,a1),f95(f95(x5181,a1),a1),f100(f95(x5181,a1)),x5182)),f10(f95(x5181,a1),f95(x5181,f95(x5181,a1)),f10(f95(x5181,f95(f95(x5181,a1),f95(x5181,a1))),f95(f95(x5181,a1),f95(x5181,f95(x5181,a1))),f9(x5181,f95(x5181,a1),f95(x5181,a1)),f111(x5181)),f4(f95(x5181,a1))))),f10(f95(x5181,a1),x5181,f132(x5181),x5182))
% 6.38/6.61 [546]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5461),x5462)),x5462))
% 6.38/6.61 [547]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5471),x5472)),x5471))
% 6.38/6.61 [526]P11(f10(f95(a3,a1),a1,f103(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(f95(a3,a1),f95(a3,a1),f10(f95(a3,f95(a1,a1)),f95(f95(a3,a1),f95(a3,a1)),f13(a3,a1,a1),f10(f95(a3,a1),f95(a3,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(a3,a1),f95(a3,f95(a1,a1))),f8(a1,f95(a1,a1),a3),a97),x5261)),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f123(a3)),x5262)))))
% 6.38/6.61 [459]E(f10(f95(f95(x4591,x4592),f95(f95(x4593,x4591),f95(x4593,x4592))),f95(f95(x4591,x4592),f95(f95(x4593,x4591),f95(x4593,x4592))),f5(f95(f95(x4591,x4592),f95(f95(x4593,x4591),f95(x4593,x4592)))),f8(x4591,x4592,x4593)),f8(x4591,x4592,x4593))
% 6.38/6.61 [460]E(f10(f95(f95(x4601,f95(x4602,x4603)),f95(x4602,f95(x4601,x4603))),f95(f95(x4601,f95(x4602,x4603)),f95(x4602,f95(x4601,x4603))),f5(f95(f95(x4601,f95(x4602,x4603)),f95(x4602,f95(x4601,x4603)))),f9(x4601,x4602,x4603)),f9(x4601,x4602,x4603))
% 6.38/6.61 [464]E(f10(f95(f95(x4641,f95(x4642,x4643)),f95(f95(x4641,x4642),f95(x4641,x4643))),f95(f95(x4641,f95(x4642,x4643)),f95(f95(x4641,x4642),f95(x4641,x4643))),f5(f95(f95(x4641,f95(x4642,x4643)),f95(f95(x4641,x4642),f95(x4641,x4643)))),f13(x4641,x4642,x4643)),f13(x4641,x4642,x4643))
% 6.38/6.61 [472]E(f10(a3,x4721,f10(f95(a3,x4721),f95(a3,x4721),f10(x4721,f95(f95(a3,x4721),f95(a3,x4721)),f118(x4721),x4722),x4723),f114(a3)),f10(x4721,x4721,f5(x4721),x4722))
% 6.38/6.61 [446]E(f10(f95(x4461,a1),f95(x4462,a1),f10(f95(x4461,x4462),f95(f95(x4461,a1),f95(x4462,a1)),f112(x4461,x4462),x4463),f4(f95(x4461,a1))),f4(f95(x4462,a1)))
% 6.38/6.61 [537]~E(f10(f95(x5371,a1),f95(x5371,a1),f10(x5371,f95(f95(x5371,a1),f95(x5371,a1)),f111(x5371),x5372),x5373),f4(f95(x5371,a1)))
% 6.38/6.61 [485]E(f10(f95(x4851,a1),f95(x4851,a1),f10(x4851,f95(f95(x4851,a1),f95(x4851,a1)),f111(x4851),x4852),f10(f95(x4851,a1),f95(x4851,a1),f10(x4851,f95(f95(x4851,a1),f95(x4851,a1)),f111(x4851),x4852),x4853)),f10(f95(x4851,a1),f95(x4851,a1),f10(x4851,f95(f95(x4851,a1),f95(x4851,a1)),f111(x4851),x4852),x4853))
% 6.38/6.61 [487]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4871),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4872),x4873)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4872),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4871),x4873)))
% 6.38/6.61 [493]P11(f10(f95(x4931,a1),a1,f10(x4931,f95(f95(x4931,a1),a1),f110(x4931),x4932),f10(f95(x4931,a1),f95(x4931,a1),f10(x4931,f95(f95(x4931,a1),f95(x4931,a1)),f111(x4931),x4932),x4933)))
% 6.38/6.61 [495]P11(f10(f95(x4951,a1),a1,f10(f95(x4951,a1),f95(f95(x4951,a1),a1),f122(f95(x4951,a1)),x4952),f10(f95(x4951,a1),f95(x4951,a1),f10(x4951,f95(f95(x4951,a1),f95(x4951,a1)),f111(x4951),x4953),x4952)))
% 6.38/6.61 [498]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4981),x4982)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4983),x4982)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4981),x4983))
% 6.38/6.61 [499]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4991),x4992)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4991),x4993)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4992),x4993))
% 6.38/6.61 [496]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4961),x4962)),x4963),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x4961),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4962),x4963)))
% 6.38/6.61 [497]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4971),x4972)),x4973),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4971),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x4972),x4973)))
% 6.38/6.61 [503]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x5031),x5032)),x5033),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x5031),x5033)),x5032))
% 6.38/6.61 [506]E(f10(f95(x5061,a1),f95(x5061,a1),f10(x5061,f95(f95(x5061,a1),f95(x5061,a1)),f111(x5061),x5062),f10(f95(x5061,a1),f95(x5061,a1),f10(f95(x5061,a1),f95(f95(x5061,a1),f95(x5061,a1)),f113(f95(x5061,a1)),x5063),f10(f95(x5061,a1),f95(x5061,a1),f10(x5061,f95(f95(x5061,a1),f95(x5061,a1)),f111(x5061),x5062),f4(f95(x5061,a1))))),f10(f95(x5061,a1),f95(x5061,a1),f10(x5061,f95(f95(x5061,a1),f95(x5061,a1)),f111(x5061),x5062),x5063))
% 6.38/6.61 [516]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,x5161)),x5162)),f10(a3,a3,a125,x5163)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x5161),x5162)),x5163))
% 6.38/6.61 [520]E(f10(f95(x5201,a1),f95(x5201,a1),f7(x5201),f10(f95(x5201,a1),f95(x5201,a1),f10(f95(x5201,f95(a1,a1)),f95(f95(x5201,a1),f95(x5201,a1)),f13(x5201,a1,a1),f10(f95(x5201,a1),f95(x5201,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x5201,a1),f95(x5201,f95(a1,a1))),f8(a1,f95(a1,a1),x5201),a98),f10(x5201,f95(x5201,a1),f10(f95(x5201,f95(x5201,a1)),f95(x5201,f95(x5201,a1)),f9(x5201,x5201,a1),f100(x5201)),x5202))),f10(f95(x5201,a1),f95(x5201,a1),f10(f95(x5201,f95(f95(x5201,a1),a1)),f95(f95(x5201,a1),f95(x5201,a1)),f9(x5201,f95(x5201,a1),a1),f110(x5201)),x5203))),f10(f95(x5201,a1),f95(x5201,a1),f10(x5201,f95(f95(x5201,a1),f95(x5201,a1)),f111(x5201),x5202),x5203))
% 6.38/6.61 [521]E(f10(f95(x5211,a1),f95(x5211,a1),f7(x5211),f10(f95(x5211,a1),f95(x5211,a1),f10(f95(x5211,f95(a1,a1)),f95(f95(x5211,a1),f95(x5211,a1)),f13(x5211,a1,a1),f10(f95(x5211,a1),f95(x5211,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x5211,a1),f95(x5211,f95(a1,a1))),f8(a1,f95(a1,a1),x5211),a98),f10(x5211,f95(x5211,a1),f10(f95(x5211,f95(x5211,a1)),f95(x5211,f95(x5211,a1)),f9(x5211,x5211,a1),f100(x5211)),x5212))),f10(f95(x5211,a1),f95(x5211,a1),f10(f95(x5211,f95(f95(x5211,a1),a1)),f95(f95(x5211,a1),f95(x5211,a1)),f9(x5211,f95(x5211,a1),a1),f110(x5211)),x5213))),f10(f95(x5211,a1),f95(x5211,a1),f10(x5211,f95(f95(x5211,a1),f95(x5211,a1)),f111(x5211),x5212),x5213))
% 6.38/6.61 [501]E(f10(f95(x5011,a1),f95(x5011,a1),f10(f95(x5011,a1),f95(f95(x5011,a1),f95(x5011,a1)),f113(f95(x5011,a1)),f10(f95(x5011,a1),f95(x5011,a1),f10(f95(x5011,a1),f95(f95(x5011,a1),f95(x5011,a1)),f113(f95(x5011,a1)),x5012),x5013)),x5013),f10(f95(x5011,a1),f95(x5011,a1),f10(f95(x5011,a1),f95(f95(x5011,a1),f95(x5011,a1)),f113(f95(x5011,a1)),x5012),x5013))
% 6.38/6.61 [515]P11(f10(f95(x5151,a1),a1,f10(f95(x5151,a1),f95(f95(x5151,a1),a1),f122(f95(x5151,a1)),f10(f95(x5151,a1),f95(x5151,a1),f10(f95(x5151,a1),f95(f95(x5151,a1),f95(x5151,a1)),f113(f95(x5151,a1)),x5152),x5153)),x5152))
% 6.38/6.61 [523]E(f10(f95(x5231,a1),f95(x5231,a1),f7(x5231),f10(f95(x5231,a1),f95(x5231,a1),f10(f95(x5231,f95(a1,a1)),f95(f95(x5231,a1),f95(x5231,a1)),f13(x5231,a1,a1),f10(f95(x5231,a1),f95(x5231,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x5231,a1),f95(x5231,f95(a1,a1))),f8(a1,f95(a1,a1),x5231),a97),f10(f95(x5231,a1),f95(x5231,a1),f10(f95(x5231,f95(f95(x5231,a1),a1)),f95(f95(x5231,a1),f95(x5231,a1)),f9(x5231,f95(x5231,a1),a1),f110(x5231)),x5232))),f10(f95(x5231,a1),f95(x5231,a1),f10(f95(a1,a1),f95(f95(x5231,a1),f95(x5231,a1)),f8(a1,a1,x5231),a94),f10(f95(x5231,a1),f95(x5231,a1),f10(f95(x5231,f95(f95(x5231,a1),a1)),f95(f95(x5231,a1),f95(x5231,a1)),f9(x5231,f95(x5231,a1),a1),f110(x5231)),x5233)))),f10(f95(x5231,a1),f95(x5231,a1),f10(f95(x5231,a1),f95(f95(x5231,a1),f95(x5231,a1)),f113(f95(x5231,a1)),x5232),x5233))
% 6.38/6.61 [524]E(f10(f95(x5241,a1),f95(x5241,a1),f7(x5241),f10(f95(x5241,a1),f95(x5241,a1),f10(f95(x5241,f95(a1,a1)),f95(f95(x5241,a1),f95(x5241,a1)),f13(x5241,a1,a1),f10(f95(x5241,a1),f95(x5241,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x5241,a1),f95(x5241,f95(a1,a1))),f8(a1,f95(a1,a1),x5241),a99),f10(f95(x5241,a1),f95(x5241,a1),f10(f95(a1,a1),f95(f95(x5241,a1),f95(x5241,a1)),f8(a1,a1,x5241),a94),f10(x5241,f95(x5241,a1),f10(f95(x5241,f95(x5241,a1)),f95(x5241,f95(x5241,a1)),f9(x5241,x5241,a1),f100(x5241)),x5242)))),x5243)),f10(f95(x5241,a1),f95(x5241,a1),f10(x5241,f95(f95(x5241,a1),f95(x5241,a1)),f111(x5241),x5242),f10(f95(x5241,a1),f95(x5241,a1),f7(x5241),x5243)))
% 6.38/6.61 [434]E(f10(x4341,x4341,f5(x4341),f10(x4342,x4341,x4343,x4344)),f10(x4342,x4341,x4343,x4344))
% 6.38/6.61 [476]E(f10(a3,x4761,f10(f95(a3,x4761),f95(a3,x4761),f10(x4761,f95(f95(a3,x4761),f95(a3,x4761)),f118(x4761),x4762),x4763),f10(a3,a3,a125,x4764)),f10(a3,x4761,x4763,x4764))
% 6.38/6.61 [435]E(f10(x4351,x4352,x4353,f10(x4351,x4351,f5(x4351),x4354)),f10(x4351,x4352,x4353,x4354))
% 6.38/6.61 [443]E(f10(x4431,x4432,f10(x4432,f95(x4431,x4432),f12(x4432,x4431),x4433),x4434),f10(x4432,x4432,f5(x4432),x4433))
% 6.38/6.61 [447]E(f10(x4471,x4472,f10(f95(x4471,x4472),f95(x4471,x4472),f5(f95(x4471,x4472)),x4473),x4474),f10(x4471,x4472,x4473,x4474))
% 6.38/6.61 [494]E(f10(f95(x4941,a1),f95(x4941,a1),f10(x4941,f95(f95(x4941,a1),f95(x4941,a1)),f111(x4941),x4942),f10(f95(x4941,a1),f95(x4941,a1),f10(x4941,f95(f95(x4941,a1),f95(x4941,a1)),f111(x4941),x4943),x4944)),f10(f95(x4941,a1),f95(x4941,a1),f10(x4941,f95(f95(x4941,a1),f95(x4941,a1)),f111(x4941),x4943),f10(f95(x4941,a1),f95(x4941,a1),f10(x4941,f95(f95(x4941,a1),f95(x4941,a1)),f111(x4941),x4942),x4944)))
% 6.38/6.61 [512]E(f10(f95(x5121,a1),f95(x5121,a1),f10(f95(x5121,a1),f95(f95(x5121,a1),f95(x5121,a1)),f113(f95(x5121,a1)),f10(f95(x5121,a1),f95(x5121,a1),f10(f95(x5121,a1),f95(f95(x5121,a1),f95(x5121,a1)),f113(f95(x5121,a1)),x5122),x5123)),f10(f95(x5121,a1),f95(x5121,a1),f10(x5121,f95(f95(x5121,a1),f95(x5121,a1)),f111(x5121),x5124),f4(f95(x5121,a1)))),f10(f95(x5121,a1),f95(x5121,a1),f10(f95(x5121,a1),f95(f95(x5121,a1),f95(x5121,a1)),f113(f95(x5121,a1)),x5122),f10(f95(x5121,a1),f95(x5121,a1),f10(x5121,f95(f95(x5121,a1),f95(x5121,a1)),f111(x5121),x5124),x5123)))
% 6.38/6.61 [519]E(f10(f95(x5191,a1),f95(x5191,a1),f10(f95(x5191,a1),f95(f95(x5191,a1),f95(x5191,a1)),f113(f95(x5191,a1)),f10(f95(x5191,a1),f95(x5191,a1),f10(f95(x5191,a1),f95(f95(x5191,a1),f95(x5191,a1)),f113(f95(x5191,a1)),x5192),f10(f95(x5191,a1),f95(x5191,a1),f10(x5191,f95(f95(x5191,a1),f95(x5191,a1)),f111(x5191),x5193),f4(f95(x5191,a1))))),x5194),f10(f95(x5191,a1),f95(x5191,a1),f10(f95(x5191,a1),f95(f95(x5191,a1),f95(x5191,a1)),f113(f95(x5191,a1)),x5192),f10(f95(x5191,a1),f95(x5191,a1),f10(x5191,f95(f95(x5191,a1),f95(x5191,a1)),f111(x5191),x5193),x5194)))
% 6.38/6.61 [502]E(f10(f95(x5021,a1),f95(x5022,a1),f10(f95(x5021,x5022),f95(f95(x5021,a1),f95(x5022,a1)),f112(x5021,x5022),x5023),f10(f95(x5021,a1),f95(x5021,a1),f10(x5021,f95(f95(x5021,a1),f95(x5021,a1)),f111(x5021),x5024),x5025)),f10(f95(x5022,a1),f95(x5022,a1),f10(x5022,f95(f95(x5022,a1),f95(x5022,a1)),f111(x5022),f10(x5021,x5022,x5023,x5024)),f10(f95(x5021,a1),f95(x5022,a1),f10(f95(x5021,x5022),f95(f95(x5021,a1),f95(x5022,a1)),f112(x5021,x5022),x5023),x5025)))
% 6.38/6.61 [525]P11(f10(f95(x5251,a1),a1,f10(f95(x5251,a1),f95(f95(x5251,a1),a1),f122(f95(x5251,a1)),f10(f95(x5251,a1),f95(x5251,a1),f10(f95(x5251,a1),f95(f95(x5251,a1),f95(x5251,a1)),f113(f95(x5251,a1)),f10(f95(x5252,a1),f95(x5251,a1),f10(f95(x5252,x5251),f95(f95(x5252,a1),f95(x5251,a1)),f112(x5252,x5251),x5253),x5254)),f10(f95(x5252,a1),f95(x5251,a1),f10(f95(x5252,x5251),f95(f95(x5252,a1),f95(x5251,a1)),f112(x5252,x5251),x5253),x5255))),f10(f95(x5252,a1),f95(x5251,a1),f10(f95(x5252,x5251),f95(f95(x5252,a1),f95(x5251,a1)),f112(x5252,x5251),x5253),f10(f95(x5252,a1),f95(x5252,a1),f10(f95(x5252,a1),f95(f95(x5252,a1),f95(x5252,a1)),f113(f95(x5252,a1)),x5254),x5255))))
% 6.38/6.61 [480]E(f10(x4801,x4802,f10(x4803,f95(x4801,x4802),f10(f95(x4801,f95(x4803,x4802)),f95(x4803,f95(x4801,x4802)),f9(x4801,x4803,x4802),x4804),x4805),x4806),f10(x4803,x4802,f10(x4801,f95(x4803,x4802),x4804,x4806),x4805))
% 6.38/6.61 [481]E(f10(x4811,x4812,f10(f95(x4811,x4813),f95(x4811,x4812),f10(f95(x4813,x4812),f95(f95(x4811,x4813),f95(x4811,x4812)),f8(x4813,x4812,x4811),x4814),x4815),x4816),f10(x4813,x4812,x4814,f10(x4811,x4813,x4815,x4816)))
% 6.38/6.61 [486]E(f10(x4861,x4862,f10(f95(x4861,x4863),f95(x4861,x4862),f10(f95(x4861,f95(x4863,x4862)),f95(f95(x4861,x4863),f95(x4861,x4862)),f13(x4861,x4863,x4862),x4864),x4865),x4866),f10(x4863,x4862,f10(x4861,f95(x4863,x4862),x4864,x4866),f10(x4861,x4863,x4865,x4866)))
% 6.38/6.61 [510]E(f10(f95(x5101,a1),f95(x5102,a1),f10(f95(x5101,x5102),f95(f95(x5101,a1),f95(x5102,a1)),f112(x5101,x5102),x5103),f10(f95(x5104,a1),f95(x5101,a1),f10(f95(x5104,x5101),f95(f95(x5104,a1),f95(x5101,a1)),f112(x5104,x5101),x5105),x5106)),f10(f95(x5104,a1),f95(x5102,a1),f10(f95(x5104,x5102),f95(f95(x5104,a1),f95(x5102,a1)),f112(x5104,x5102),f10(f95(x5104,x5101),f95(x5104,x5102),f10(f95(x5101,x5102),f95(f95(x5104,x5101),f95(x5104,x5102)),f8(x5101,x5102,x5104),x5103),x5105)),x5106))
% 6.38/6.61 [550]~P27(x5501)+~E(f117(x5501),f114(x5501))
% 6.38/6.61 [563]P11(x5631)+P11(f10(a1,a1,a94,x5631))
% 6.38/6.61 [576]~P11(x5761)+~P11(f10(a1,a1,a94,x5761))
% 6.38/6.61 [558]~P16(x5581)+E(f10(x5581,x5581,f5(x5581),f117(x5581)),f117(x5581))
% 6.38/6.61 [559]~P18(x5591)+E(f10(x5591,x5591,f5(x5591),f114(x5591)),f114(x5591))
% 6.38/6.61 [560]~P5(x5601)+E(f10(x5601,x5601,f5(x5601),f4(x5601)),f4(x5601))
% 6.38/6.61 [564]E(f10(a1,a1,f5(a1),x5641),a93)+E(f10(a1,a1,f5(a1),x5641),a11)
% 6.38/6.61 [565]~P11(x5651)+P11(f10(a1,a1,f5(a1),x5651))
% 6.38/6.61 [566]~P19(x5661)+E(f10(f95(x5661,f95(x5661,a1)),f95(x5661,f95(x5661,a1)),f5(f95(x5661,f95(x5661,a1))),f123(x5661)),f123(x5661))
% 6.38/6.61 [567]~P19(x5671)+E(f10(f95(x5671,f95(x5671,a1)),f95(x5671,f95(x5671,a1)),f5(f95(x5671,f95(x5671,a1))),f122(x5671)),f122(x5671))
% 6.38/6.61 [570]~P1(x5701)+E(f10(f95(x5701,f95(x5701,x5701)),f95(x5701,f95(x5701,x5701)),f5(f95(x5701,f95(x5701,x5701))),f113(x5701)),f113(x5701))
% 6.38/6.61 [571]~P17(x5711)+E(f10(f95(x5711,f95(x5711,x5711)),f95(x5711,f95(x5711,x5711)),f5(f95(x5711,f95(x5711,x5711))),f124(x5711)),f124(x5711))
% 6.38/6.61 [572]~P2(x5721)+E(f10(f95(x5721,f95(x5721,x5721)),f95(x5721,f95(x5721,x5721)),f5(f95(x5721,f95(x5721,x5721))),f124(x5721)),f124(x5721))
% 6.38/6.61 [573]~P4(x5731)+E(f10(f95(x5731,f95(x5731,x5731)),f95(x5731,f95(x5731,x5731)),f5(f95(x5731,f95(x5731,x5731))),f124(x5731)),f124(x5731))
% 6.38/6.61 [577]P11(x5771)+~P11(f10(a1,a1,f5(a1),x5771))
% 6.38/6.61 [612]~P14(x6121)+P11(f10(x6121,a1,f10(x6121,f95(x6121,a1),f123(x6121),f114(x6121)),f117(x6121)))
% 6.38/6.61 [613]~P14(x6131)+P11(f10(x6131,a1,f10(x6131,f95(x6131,a1),f122(x6131),f114(x6131)),f117(x6131)))
% 6.38/6.61 [655]E(x6551,f114(a3))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6551),f114(a3)))
% 6.38/6.61 [659]~P14(x6591)+~P11(f10(x6591,a1,f10(x6591,f95(x6591,a1),f123(x6591),f117(x6591)),f114(x6591)))
% 6.38/6.61 [660]~P14(x6601)+~P11(f10(x6601,a1,f10(x6601,f95(x6601,a1),f122(x6601),f117(x6601)),f114(x6601)))
% 6.38/6.61 [860]~P11(f10(f95(a115,a1),a1,f10(a115,f95(f95(a115,a1),a1),f110(a115),x8601),a127))+P11(f10(a6,a1,a134,f10(f119(a6),a6,f128(a6),f10(a115,f119(a6),a2,x8601))))
% 6.38/6.61 [551]~P1(x5512)+P1(f95(x5511,x5512))
% 6.38/6.61 [552]~P5(x5522)+P5(f95(x5521,x5522))
% 6.38/6.61 [553]~P19(x5532)+P19(f95(x5531,x5532))
% 6.38/6.61 [554]~P20(x5542)+P20(f95(x5541,x5542))
% 6.38/6.61 [555]~P21(x5552)+P21(f95(x5551,x5552))
% 6.38/6.61 [575]E(x5751,x5752)+~E(f10(a3,a3,a125,x5751),f10(a3,a3,a125,x5752))
% 6.38/6.61 [569]~P7(x5691)+P11(f10(f95(x5691,a1),a1,f103(x5691),x5692))
% 6.38/6.61 [579]E(f10(f95(x5791,a1),a3,f96(x5791),x5792),f114(a3))+P11(f10(f95(x5791,a1),a1,f103(x5791),x5792))
% 6.38/6.61 [580]E(f10(f95(x5801,a1),f95(x5801,a1),f7(x5801),x5802),f4(f95(x5801,a1)))+P11(f10(x5801,a1,x5802,f14(x5801,x5802)))
% 6.38/6.61 [581]E(f10(f95(x5811,a1),f95(x5811,a1),f7(x5811),x5812),f4(f95(x5811,a1)))+P11(f10(x5811,a1,x5812,f15(x5811,x5812)))
% 6.38/6.61 [582]~P12(x5821)+E(f10(x5821,x5821,f10(x5821,f95(x5821,x5821),f113(x5821),x5822),f114(x5821)),f10(x5821,x5821,f5(x5821),x5822))
% 6.38/6.61 [583]~P17(x5831)+E(f10(x5831,x5831,f10(x5831,f95(x5831,x5831),f124(x5831),x5832),f114(x5831)),f10(x5831,x5831,f5(x5831),x5832))
% 6.38/6.61 [584]~P8(x5841)+E(f10(x5841,x5841,f10(x5841,f95(x5841,x5841),f124(x5841),x5842),f114(x5841)),f10(x5841,x5841,f5(x5841),x5842))
% 6.38/6.61 [657]~E(x6571,x6572)+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x6571),f10(a3,a3,a125,x6572)))
% 6.38/6.61 [658]~P5(x6581)+~P11(f10(x6581,a1,f10(x6581,f95(x6581,a1),f123(x6581),x6582),f4(x6581)))
% 6.38/6.61 [578]~P12(x5781)+E(f10(x5781,x5781,f10(x5781,f95(x5781,x5781),f113(x5781),x5782),x5782),f114(x5781))
% 6.38/6.61 [585]~P17(x5851)+E(f10(x5851,x5851,f10(x5851,f95(x5851,x5851),f124(x5851),f114(x5851)),x5852),f10(x5851,x5851,f5(x5851),x5852))
% 6.38/6.61 [586]~P8(x5861)+E(f10(x5861,x5861,f10(x5861,f95(x5861,x5861),f124(x5861),f114(x5861)),x5862),f10(x5861,x5861,f5(x5861),x5862))
% 6.38/6.61 [587]~E(f10(f95(x5871,a1),f95(x5871,a1),f5(f95(x5871,a1)),x5872),f4(f95(x5871,a1)))+P11(f10(f95(x5871,a1),a1,f103(x5871),x5872))
% 6.38/6.61 [596]P11(x5961)+P11(f10(a1,a1,f10(a1,f95(a1,a1),a99,x5961),x5962))
% 6.38/6.61 [597]~P11(x5972)+P11(f10(a1,a1,f10(a1,f95(a1,a1),a98,x5971),x5972))
% 6.38/6.61 [598]~P11(x5981)+P11(f10(a1,a1,f10(a1,f95(a1,a1),a98,x5981),x5982))
% 6.38/6.61 [599]~P11(x5992)+P11(f10(a1,a1,f10(a1,f95(a1,a1),a99,x5991),x5992))
% 6.38/6.61 [603]~E(x6031,x6032)+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6031),x6032))
% 6.38/6.61 [605]~P21(x6051)+P11(f10(x6051,a1,f10(x6051,f95(x6051,a1),f122(x6051),x6052),x6052))
% 6.38/6.61 [611]~P5(x6111)+P11(f10(x6111,a1,f10(x6111,f95(x6111,a1),f122(x6111),f4(x6111)),x6112))
% 6.38/6.61 [618]E(f10(f95(x6181,a1),f95(x6181,a1),f10(x6181,f95(f95(x6181,a1),f95(x6181,a1)),f111(x6181),f22(x6181,x6182)),f33(x6181,x6182)),f10(f95(x6181,a1),f95(x6181,a1),f5(f95(x6181,a1)),x6182))+E(f10(f95(x6181,a1),f95(x6181,a1),f5(f95(x6181,a1)),x6182),f4(f95(x6181,a1)))
% 6.38/6.61 [632]E(f10(f95(x6321,a1),f95(x6321,a1),f5(f95(x6321,a1)),x6322),f4(f95(x6321,a1)))+P11(f10(f95(x6321,a1),a1,f10(x6321,f95(f95(x6321,a1),a1),f110(x6321),f24(x6321,x6322)),x6322))
% 6.38/6.61 [633]E(f10(f95(x6331,a1),f95(x6331,a1),f5(f95(x6331,a1)),x6332),f4(f95(x6331,a1)))+P11(f10(f95(x6331,a1),a1,f10(x6331,f95(f95(x6331,a1),a1),f110(x6331),f25(x6331,x6332)),x6332))
% 6.38/6.61 [640]P11(f10(f95(a3,a1),a1,f103(a3),x6401))+P11(f10(f95(a3,a1),a1,f10(a3,f95(f95(a3,a1),a1),f110(a3),f46(x6402,x6401)),x6401))
% 6.38/6.61 [641]P11(f10(f95(a3,a1),a1,f103(a3),x6411))+P11(f10(f95(a3,a1),a1,f10(a3,f95(f95(a3,a1),a1),f110(a3),f16(x6411,x6412)),x6411))
% 6.38/6.61 [642]P11(f10(f95(a3,a1),a1,f103(a3),x6421))+P11(f10(f95(a3,a1),a1,f10(a3,f95(f95(a3,a1),a1),f110(a3),f47(x6421,x6422)),x6421))
% 6.38/6.61 [643]P11(x6431)+~P11(f10(a1,a1,f10(a1,f95(a1,a1),a97,x6432),x6431))
% 6.38/6.61 [644]P11(x6441)+~P11(f10(a1,a1,f10(a1,f95(a1,a1),a97,x6441),x6442))
% 6.38/6.61 [653]~E(x6531,x6532)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x6531),x6532))
% 6.38/6.61 [656]~P21(x6561)+~P11(f10(x6561,a1,f10(x6561,f95(x6561,a1),f123(x6561),x6562),x6562))
% 6.38/6.61 [666]~E(f10(f95(x6661,a1),f95(x6661,a1),f5(f95(x6661,a1)),x6662),f4(f95(x6661,a1)))+P11(f10(f95(x6661,a1),a1,f10(f95(x6661,a1),f95(f95(x6661,a1),a1),f122(f95(x6661,a1)),x6662),f4(f95(x6661,a1))))
% 6.38/6.61 [670]~E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x6701),x6702),f114(a3))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6701),x6702))
% 6.38/6.61 [685]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6852),x6851))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6851),x6852))
% 6.38/6.61 [689]P11(f10(f95(a3,a1),a1,f103(a3),x6891))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f46(x6892,x6891)),x6892))
% 6.38/6.61 [690]P11(f10(f95(a3,a1),a1,f103(a3),x6901))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f47(x6901,x6902)),x6902))
% 6.38/6.61 [691]P11(f10(f95(a3,a1),a1,f103(a3),x6911))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f16(x6911,x6912)),x6912))
% 6.38/6.61 [709]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7091),x7092),f114(a3))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7091),x7092))
% 6.38/6.61 [710]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7101),f52(x7101,x7102)),x7102)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7101),x7102))
% 6.38/6.61 [724]E(f10(f95(x7241,a1),f95(x7241,a1),f5(f95(x7241,a1)),x7242),f4(f95(x7241,a1)))+~P11(f10(f95(x7241,a1),a1,f10(x7241,f95(f95(x7241,a1),a1),f110(x7241),f22(x7241,x7242)),f33(x7241,x7242)))
% 6.38/6.61 [739]E(f10(f95(x7391,a1),f95(x7391,a1),f5(f95(x7391,a1)),x7392),f4(f95(x7391,a1)))+~P11(f10(f95(x7391,a1),a1,f10(f95(x7391,a1),f95(f95(x7391,a1),a1),f122(f95(x7391,a1)),x7392),f4(f95(x7391,a1))))
% 6.38/6.61 [749]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7491),x7492))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7491),x7492))
% 6.38/6.61 [753]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7532),f10(a3,a3,a125,x7531)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7531),x7532))
% 6.38/6.61 [763]E(f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7631),f55(x7631,x7632))),x7632)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7631),x7632))
% 6.38/6.61 [764]E(f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7641),f56(x7641,x7642))),x7642)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7641),x7642))
% 6.38/6.61 [789]~P14(x7891)+P11(f10(x7891,a1,f10(x7891,f95(x7891,a1),f123(x7891),x7892),f10(x7891,x7891,f10(x7891,f95(x7891,x7891),f124(x7891),x7892),f117(x7891))))
% 6.38/6.61 [800]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8001),f10(a3,a3,a125,x8002)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8001),x8002))
% 6.38/6.61 [802]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8021),f10(a3,a3,a125,x8022)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8021),x8022))
% 6.38/6.61 [804]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8041),f10(a3,a3,a125,x8042)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8041),x8042))
% 6.38/6.61 [818]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8181),x8182))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x8182)),x8181))
% 6.38/6.61 [832]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8321),f10(a3,a3,a125,x8322)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8321),x8322))
% 6.38/6.61 [844]E(f10(a3,a3,a125,f66(x8441,x8442)),x8442)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x8441)),x8442))
% 6.38/6.61 [845]E(f10(a3,a3,a125,f70(x8451,x8452)),x8452)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x8451)),x8452))
% 6.38/6.61 [854]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8541),x8542))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x8541)),x8542))
% 6.38/6.61 [867]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8672),f10(a3,a3,a125,x8671)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8671),x8672))
% 6.38/6.61 [894]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x8941)),f10(a3,a3,a125,x8942)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8941),x8942))
% 6.38/6.61 [895]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x8951)),f10(a3,a3,a125,x8952)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8951),x8952))
% 6.38/6.61 [898]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8981),x8982))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x8981)),x8982))
% 6.38/6.61 [901]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9011),x9012))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x9011)),x9012))
% 6.38/6.61 [902]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9021),x9022))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x9021)),x9022))
% 6.38/6.61 [903]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9031),f70(x9031,x9032)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x9031)),x9032))
% 6.38/6.61 [925]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9251),x9252))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x9252)),x9251))
% 6.38/6.61 [942]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x9421)),f10(a3,a3,a125,x9422)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9421),x9422))
% 6.38/6.61 [943]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x9431)),f10(a3,a3,a125,x9432)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9431),x9432))
% 6.38/6.61 [742]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7421),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7422),x7421)),x7422)+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7422),x7421))
% 6.38/6.61 [785]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7851),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7851),x7852)),x7852)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7852),x7851))
% 6.38/6.61 [786]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7861),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7862),x7861)),x7862)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7861),x7862))
% 6.38/6.61 [817]~P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),f122(f95(a133,a1)),x8172),x8171))+P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,x8171),x8172))
% 6.38/6.61 [855]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,x8551)),x8552),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x8551),x8552)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8552),x8551))
% 6.38/6.61 [923]E(f10(f95(a3,a1),f95(x9231,a1),f10(f95(a3,x9231),f95(f95(a3,a1),f95(x9231,a1)),f112(a3,x9231),f61(x9231,x9232)),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f123(a3)),f62(x9231,x9232)))),f10(f95(x9231,a1),f95(x9231,a1),f5(f95(x9231,a1)),x9232))+~P11(f10(f95(x9231,a1),a1,f103(x9231),x9232))
% 6.38/6.61 [1018]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x10181)),x10182))+P11(f10(a3,a1,f10(f95(a3,a1),f95(a3,a1),f10(a1,f95(f95(a3,a1),f95(a3,a1)),f118(a1),a11),f10(a3,f95(a3,a1),f122(a3),x10181)),x10182))
% 6.38/6.61 [1058]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x10581)),x10582))+~P11(f10(a3,a1,f10(f95(a3,a1),f95(a3,a1),f10(a1,f95(f95(a3,a1),f95(a3,a1)),f118(a1),a11),f10(a3,f95(a3,a1),f122(a3),x10581)),x10582))
% 6.38/6.61 [1170]P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,x11701),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a115,a133,a108,x11702)),f4(f95(a133,a1)))))+~P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a115,a133,a108,x11702)),x11701)),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a6,a133,a109,f10(f119(a6),a6,f128(a6),f10(a115,f119(a6),a2,x11702)))),f4(f95(a133,a1)))))
% 6.38/6.61 [865]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x8651),x8652)),x8652),x8651)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8652),x8651))
% 6.38/6.61 [1110]~P11(f10(f95(x11101,a1),a1,f103(x11101),x11102))+P11(f10(f95(f95(x11101,a1),a1),a1,f103(f95(x11101,a1)),f10(f95(f95(x11101,a1),a1),f95(f95(x11101,a1),a1),f7(f95(x11101,a1)),f10(f95(x11101,a1),f95(f95(x11101,a1),a1),f10(f95(f95(x11101,a1),f95(f95(x11101,a1),a1)),f95(f95(x11101,a1),f95(f95(x11101,a1),a1)),f9(f95(x11101,a1),f95(x11101,a1),a1),f122(f95(x11101,a1))),x11102))))
% 6.38/6.61 [1157]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f32(x11572,x11571)),f10(a3,a3,x11571,f32(x11572,x11571))))+P11(f10(f95(a3,a1),a1,f103(a3),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f10(f95(a3,a3),f95(a3,f95(a3,a1)),f10(f95(a3,f95(a3,a1)),f95(f95(a3,a3),f95(a3,f95(a3,a1))),f8(a3,f95(a3,a1),a3),f122(a3)),x11571)),x11572))))
% 6.38/6.61 [590]~E(f10(f95(x5901,a1),f95(x5901,a1),f7(x5901),x5902),f4(f95(x5901,a1)))+~P11(f10(x5901,a1,x5902,x5903))
% 6.38/6.61 [562]~P5(x5622)+E(f10(x5621,x5622,f4(f95(x5621,x5622)),x5623),f4(x5622))
% 6.38/6.61 [634]~E(f10(x6341,x6341,f5(x6341),x6342),f10(x6341,x6341,f5(x6341),x6343))+P11(f10(x6341,a1,f10(x6341,f95(x6341,a1),f100(x6341),x6342),x6343))
% 6.38/6.61 [647]E(x6471,x6472)+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6473),x6471),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6473),x6472))
% 6.38/6.61 [648]E(x6481,x6482)+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6481),x6483),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6482),x6483))
% 6.38/6.61 [661]~P11(f10(x6611,a1,x6613,x6612))+P11(f10(f95(x6611,a1),a1,f10(x6611,f95(f95(x6611,a1),a1),f110(x6611),x6612),x6613))
% 6.38/6.61 [667]~E(x6672,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6671),x6673))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x6671),x6672))
% 6.38/6.61 [675]E(f10(x6751,x6751,f5(x6751),x6752),f10(x6751,x6751,f5(x6751),x6753))+~P11(f10(x6751,a1,f10(x6751,f95(x6751,a1),f100(x6751),x6752),x6753))
% 6.38/6.61 [720]P11(f10(x7201,a1,x7202,x7203))+~P11(f10(f95(x7201,a1),a1,f10(x7201,f95(f95(x7201,a1),a1),f110(x7201),x7203),x7202))
% 6.38/6.61 [723]~E(f10(f95(x7231,a1),f95(x7231,a1),f5(f95(x7231,a1)),x7232),f4(f95(x7231,a1)))+~P11(f10(f95(x7231,a1),a1,f10(x7231,f95(f95(x7231,a1),a1),f110(x7231),x7233),x7232))
% 6.38/6.61 [743]E(f10(x7431,x7431,f5(x7431),x7432),f10(x7431,x7431,f5(x7431),x7433))+~E(f10(f95(x7431,a1),f95(x7431,a1),f10(x7431,f95(f95(x7431,a1),f95(x7431,a1)),f111(x7431),x7432),f4(f95(x7431,a1))),f10(f95(x7431,a1),f95(x7431,a1),f10(x7431,f95(f95(x7431,a1),f95(x7431,a1)),f111(x7431),x7433),f4(f95(x7431,a1))))
% 6.38/6.61 [759]E(f10(f95(x7591,a1),f95(x7591,a1),f10(x7591,f95(f95(x7591,a1),f95(x7591,a1)),f111(x7591),x7592),x7593),f10(f95(x7591,a1),f95(x7591,a1),f5(f95(x7591,a1)),x7593))+~P11(f10(f95(x7591,a1),a1,f10(x7591,f95(f95(x7591,a1),a1),f110(x7591),x7592),x7593))
% 6.38/6.61 [1152]~P11(f10(f95(x11521,a1),a1,f103(x11521),x11522))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(f95(x11521,a1),a3,f96(x11521),f10(f95(x11521,a1),f95(x11521,a1),f10(f95(x11521,a1),f95(f95(x11521,a1),f95(x11521,a1)),f113(f95(x11521,a1)),x11522),f10(f95(x11521,a1),f95(x11521,a1),f10(x11521,f95(f95(x11521,a1),f95(x11521,a1)),f111(x11521),x11523),f4(f95(x11521,a1)))))),f10(f95(x11521,a1),a3,f96(x11521),x11522)))
% 6.38/6.61 [693]~E(f10(f95(x6931,a1),f95(x6931,a1),f5(f95(x6931,a1)),x6933),f10(f95(x6931,a1),f95(x6931,a1),f5(f95(x6931,a1)),x6932))+P11(f10(f95(x6931,a1),a1,f10(f95(x6931,a1),f95(f95(x6931,a1),a1),f122(f95(x6931,a1)),x6932),x6933))
% 6.38/6.61 [699]~E(f10(f95(x6991,a1),f95(x6991,a1),f5(f95(x6991,a1)),x6992),f10(f95(x6991,a1),f95(x6991,a1),f5(f95(x6991,a1)),x6993))+P11(f10(f95(x6991,a1),a1,f10(f95(x6991,a1),f95(f95(x6991,a1),a1),f122(f95(x6991,a1)),x6992),x6993))
% 6.38/6.61 [766]P11(f10(f95(x7661,a1),a1,f10(x7661,f95(f95(x7661,a1),a1),f110(x7661),f17(x7661,x7662,x7663)),x7663))+P11(f10(f95(x7661,a1),a1,f10(f95(x7661,a1),f95(f95(x7661,a1),a1),f122(f95(x7661,a1)),x7663),x7662))
% 6.38/6.61 [767]~E(f10(f95(x7671,a1),f95(x7671,a1),f5(f95(x7671,a1)),x7672),f10(f95(x7671,a1),f95(x7671,a1),f5(f95(x7671,a1)),x7673))+~P11(f10(f95(x7671,a1),a1,f10(f95(x7671,a1),f95(f95(x7671,a1),a1),f123(f95(x7671,a1)),x7672),x7673))
% 6.38/6.61 [768]~E(x7682,f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7681),x7683)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7681),x7682))
% 6.38/6.61 [824]~P11(f10(f95(x8241,a1),a1,f10(f95(x8241,a1),f95(f95(x8241,a1),a1),f123(f95(x8241,a1)),x8242),x8243))+P11(f10(f95(x8241,a1),a1,f10(f95(x8241,a1),f95(f95(x8241,a1),a1),f122(f95(x8241,a1)),x8242),x8243))
% 6.38/6.61 [838]~P11(f10(f95(x8381,a1),a1,f103(x8381),x8383))+P11(f10(f95(x8381,a1),a1,f103(x8381),f10(f95(x8381,a1),f95(x8381,a1),f10(x8381,f95(f95(x8381,a1),f95(x8381,a1)),f111(x8381),x8382),x8383)))
% 6.38/6.61 [841]~P11(f10(f95(x8411,a1),a1,f10(x8411,f95(f95(x8411,a1),a1),f110(x8411),f17(x8411,x8413,x8412)),x8413))+P11(f10(f95(x8411,a1),a1,f10(f95(x8411,a1),f95(f95(x8411,a1),a1),f122(f95(x8411,a1)),x8412),x8413))
% 6.38/6.61 [905]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9051),x9053))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9051),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9052),x9053)))
% 6.38/6.61 [907]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9071),x9072))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9071),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9072),x9073)))
% 6.38/6.61 [909]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9091),x9093))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9091),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9092),x9093)))
% 6.38/6.61 [911]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9111),x9112))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9111),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9112),x9113)))
% 6.38/6.61 [924]P11(f10(f95(x9241,a1),a1,f103(x9241),x9242))+~P11(f10(f95(x9241,a1),a1,f103(x9241),f10(f95(x9241,a1),f95(x9241,a1),f10(x9241,f95(f95(x9241,a1),f95(x9241,a1)),f111(x9241),x9243),x9242)))
% 6.38/6.61 [965]E(f10(f95(x9651,a1),f95(x9651,a1),f10(f95(x9651,a1),f95(f95(x9651,a1),f95(x9651,a1)),f113(f95(x9651,a1)),f10(f95(x9651,a1),f95(x9651,a1),f10(x9651,f95(f95(x9651,a1),f95(x9651,a1)),f111(x9651),x9652),x9653)),f10(f95(x9651,a1),f95(x9651,a1),f10(x9651,f95(f95(x9651,a1),f95(x9651,a1)),f111(x9651),x9652),f4(f95(x9651,a1)))),f10(f95(x9651,a1),f95(x9651,a1),f5(f95(x9651,a1)),x9653))+P11(f10(f95(x9651,a1),a1,f10(x9651,f95(f95(x9651,a1),a1),f110(x9651),x9652),x9653))
% 6.38/6.61 [977]E(f10(x9771,x9771,f5(x9771),x9772),f10(x9771,x9771,f5(x9771),x9773))+~P11(f10(f95(x9771,a1),a1,f10(x9771,f95(f95(x9771,a1),a1),f110(x9771),x9772),f10(f95(x9771,a1),f95(x9771,a1),f10(x9771,f95(f95(x9771,a1),f95(x9771,a1)),f111(x9771),x9773),f4(f95(x9771,a1)))))
% 6.38/6.61 [1001]E(f10(f95(x10011,a1),x10011,f10(x10011,f95(f95(x10011,a1),x10011),f120(x10011),x10012),x10013),f10(x10011,x10011,f5(x10011),x10012))+~P11(f10(f95(x10011,a1),a1,f10(f95(x10011,a1),f95(f95(x10011,a1),a1),f122(f95(x10011,a1)),x10013),f10(f95(x10011,a1),f95(x10011,a1),f10(x10011,f95(f95(x10011,a1),f95(x10011,a1)),f111(x10011),x10012),f4(f95(x10011,a1)))))
% 6.38/6.61 [1035]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10352),x10353))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10351),x10352)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10351),x10353)))
% 6.38/6.61 [1036]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10361),x10363))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10361),x10362)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10363),x10362)))
% 6.38/6.61 [1037]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10373),x10372))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10371),x10372)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10371),x10373)))
% 6.38/6.61 [1038]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10381),x10383))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10381),x10382)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10383),x10382)))
% 6.38/6.61 [1039]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10392),x10393))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10391),x10392)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10391),x10393)))
% 6.38/6.61 [1040]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10401),x10403))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10401),x10402)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10403),x10402)))
% 6.38/6.61 [1096]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10961),x10962))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10963),x10961)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10963),x10962)))
% 6.38/6.61 [1097]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10971),x10972))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10973),x10971)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10973),x10972)))
% 6.38/6.61 [761]~P12(x7611)+E(f10(x7611,x7611,f10(x7611,f95(x7611,x7611),f113(x7611),f10(x7611,x7611,f10(x7611,f95(x7611,x7611),f124(x7611),x7612),x7613)),x7613),f10(x7611,x7611,f5(x7611),x7612))
% 6.38/6.61 [762]~P12(x7621)+E(f10(x7621,x7621,f10(x7621,f95(x7621,x7621),f124(x7621),f10(x7621,x7621,f10(x7621,f95(x7621,x7621),f113(x7621),x7622),x7623)),x7623),f10(x7621,x7621,f5(x7621),x7622))
% 6.38/6.61 [858]~P11(f10(f95(x8581,a1),a1,f103(x8581),x8582))+P11(f10(f95(x8581,a1),a1,f103(x8581),f10(f95(x8581,a1),f95(x8581,a1),f10(f95(x8581,a1),f95(f95(x8581,a1),f95(x8581,a1)),f113(f95(x8581,a1)),x8582),x8583)))
% 6.38/6.61 [944]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9441),x9442)),x9443),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9441),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9443),x9442)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9442),x9443))
% 6.38/6.61 [946]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9461),x9462)),x9463),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9461),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9462),x9463)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9463),x9462))
% 6.38/6.61 [978]~P11(f10(f95(x9781,a1),a1,f10(f95(x9781,a1),f95(f95(x9781,a1),a1),f123(f95(x9781,a1)),x9782),x9783))+P11(f10(f95(x9781,a1),a1,f10(x9781,f95(f95(x9781,a1),a1),f110(x9781),f68(x9781,x9782,x9783)),f10(f95(x9781,a1),f95(x9781,a1),f10(f95(x9781,a1),f95(f95(x9781,a1),f95(x9781,a1)),f113(f95(x9781,a1)),x9783),x9782)))
% 6.38/6.61 [980]E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9801),x9802)),x9803),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x9801),x9803)),x9802))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9802),x9801))
% 6.38/6.61 [981]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9811),x9813))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9811),x9812)),x9813))
% 6.38/6.61 [991]E(f10(f95(x9911,a1),f95(x9911,a1),f10(x9911,f95(f95(x9911,a1),f95(x9911,a1)),f111(x9911),x9912),f10(f95(x9911,a1),f95(x9911,a1),f10(f95(x9911,a1),f95(f95(x9911,a1),f95(x9911,a1)),f113(f95(x9911,a1)),x9913),f10(f95(x9911,a1),f95(x9911,a1),f10(x9911,f95(f95(x9911,a1),f95(x9911,a1)),f111(x9911),x9912),f4(f95(x9911,a1))))),f10(f95(x9911,a1),f95(x9911,a1),f5(f95(x9911,a1)),x9913))+~P11(f10(f95(x9911,a1),a1,f10(x9911,f95(f95(x9911,a1),a1),f110(x9911),x9912),x9913))
% 6.38/6.61 [1000]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10001),x10002)),f10(a3,a3,a125,x10003)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10001),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10003),x10002))))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10002),x10003))
% 6.38/6.61 [1053]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10531),x10532))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10531),x10533)),x10532))
% 6.38/6.61 [1056]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10561),x10562))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10563),x10561)),x10562))
% 6.38/6.61 [1057]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10571),x10572))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10571),x10573)),x10572))
% 6.38/6.61 [1060]~P11(f10(f95(x10601,a1),a1,f103(x10601),x10602))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(f95(x10601,a1),a3,f96(x10601),x10602)),f10(f95(x10601,a1),a3,f96(x10601),f10(f95(x10601,a1),f95(x10601,a1),f10(x10601,f95(f95(x10601,a1),f95(x10601,a1)),f111(x10601),x10603),x10602))))
% 6.38/6.61 [1068]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10681),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10683),x10682)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10681),x10682)),x10683))
% 6.38/6.61 [1069]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10691),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10693),x10692)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10691),x10692)),x10693))
% 6.38/6.61 [1082]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10821),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10822),x10823)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10821),x10823)),x10822))
% 6.38/6.61 [1083]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10831),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10832),x10833)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10831),x10833)),x10832))
% 6.38/6.61 [1126]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f59(x11261,x11262,x11263)),f60(x11261,x11262,x11263)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,x11263,x11261)),x11262)),f10(a3,a3,x11263,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x11261),x11262))))
% 6.38/6.61 [1136]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,x11361,f59(x11362,x11363,x11361))),f10(a3,a3,x11361,f60(x11362,x11363,x11361))))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(a3,a3,x11361,x11362)),x11363)),f10(a3,a3,x11361,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x11362),x11363))))
% 6.38/6.61 [1044]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10442),x10441))+E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10441),x10442))),x10443),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,a125,x10441)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10442),x10443)))
% 6.38/6.61 [1084]~P11(f10(f95(x10841,a1),a1,f103(x10841),x10842))+E(f10(a3,a3,a125,f10(f95(x10841,a1),a3,f96(x10841),f10(f95(x10841,a1),f95(x10841,a1),f10(f95(x10841,a1),f95(f95(x10841,a1),f95(x10841,a1)),f113(f95(x10841,a1)),x10842),f10(f95(x10841,a1),f95(x10841,a1),f10(x10841,f95(f95(x10841,a1),f95(x10841,a1)),f111(x10841),x10843),f4(f95(x10841,a1)))))),f10(f95(x10841,a1),a3,f96(x10841),f10(f95(x10841,a1),f95(x10841,a1),f10(x10841,f95(f95(x10841,a1),f95(x10841,a1)),f111(x10841),x10843),x10842)))
% 6.38/6.61 [1087]~P11(f10(f95(x10871,a1),a1,f103(x10871),x10872))+E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f117(a3)),f10(f95(x10871,a1),a3,f96(x10871),f10(f95(x10871,a1),f95(x10871,a1),f10(f95(x10871,a1),f95(f95(x10871,a1),f95(x10871,a1)),f113(f95(x10871,a1)),x10872),f10(f95(x10871,a1),f95(x10871,a1),f10(x10871,f95(f95(x10871,a1),f95(x10871,a1)),f111(x10871),x10873),f4(f95(x10871,a1)))))),f10(f95(x10871,a1),a3,f96(x10871),f10(f95(x10871,a1),f95(x10871,a1),f10(x10871,f95(f95(x10871,a1),f95(x10871,a1)),f111(x10871),x10873),x10872)))
% 6.38/6.61 [1108]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11083),x11082))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11081),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x11082),x11081)),x11083)))
% 6.38/6.61 [1111]P11(f10(x11111,a1,x11113,x11112))+E(f10(f95(x11111,a1),f95(x11111,a1),f7(x11111),f10(f95(x11111,a1),f95(x11111,a1),f10(f95(x11111,f95(a1,a1)),f95(f95(x11111,a1),f95(x11111,a1)),f13(x11111,a1,a1),f10(f95(x11111,a1),f95(x11111,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11111,a1),f95(x11111,f95(a1,a1))),f8(a1,f95(a1,a1),x11111),a97),f10(x11111,f95(x11111,a1),f100(x11111),x11112))),x11113)),f4(f95(x11111,a1)))
% 6.38/6.61 [1117]~P11(f10(x11171,a1,x11173,x11172))+E(f10(f95(x11171,a1),f95(x11171,a1),f7(x11171),f10(f95(x11171,a1),f95(x11171,a1),f10(f95(x11171,f95(a1,a1)),f95(f95(x11171,a1),f95(x11171,a1)),f13(x11171,a1,a1),f10(f95(x11171,a1),f95(x11171,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11171,a1),f95(x11171,f95(a1,a1))),f8(a1,f95(a1,a1),x11171),a97),f10(x11171,f95(x11171,a1),f100(x11171),x11172))),x11173)),f10(f95(x11171,a1),f95(x11171,a1),f10(x11171,f95(f95(x11171,a1),f95(x11171,a1)),f111(x11171),x11172),f4(f95(x11171,a1))))
% 6.38/6.61 [1125]E(f10(f95(x11251,a1),x11251,f129(x11251),f10(f95(x11251,a1),f95(x11251,a1),f10(f95(x11251,f95(f95(x11251,a1),a1)),f95(f95(x11251,a1),f95(x11251,a1)),f9(x11251,f95(x11251,a1),a1),f110(x11251)),f10(f95(x11251,a1),f95(x11251,a1),f10(f95(x11251,a1),f95(f95(x11251,a1),f95(x11251,a1)),f113(f95(x11251,a1)),x11252),f10(f95(x11251,a1),f95(x11251,a1),f10(x11251,f95(f95(x11251,a1),f95(x11251,a1)),f111(x11251),x11253),f4(f95(x11251,a1)))))),f10(f95(x11251,a1),x11251,f10(x11251,f95(f95(x11251,a1),x11251),f120(x11251),x11253),x11252))+P11(f10(f95(x11251,a1),a1,f10(f95(x11251,a1),f95(f95(x11251,a1),a1),f122(f95(x11251,a1)),x11252),f10(f95(x11251,a1),f95(x11251,a1),f10(x11251,f95(f95(x11251,a1),f95(x11251,a1)),f111(x11251),x11253),f4(f95(x11251,a1)))))
% 6.38/6.61 [1137]~P11(f10(f95(x11371,a1),a1,f103(x11371),x11373))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(f95(x11371,a1),a3,f96(x11371),x11372)),f10(f95(x11371,a1),a3,f96(x11371),x11373))),f10(f95(x11371,a1),a3,f96(x11371),f10(f95(x11371,a1),f95(x11371,a1),f10(f95(x11371,a1),f95(f95(x11371,a1),f95(x11371,a1)),f113(f95(x11371,a1)),x11372),x11373))))
% 6.38/6.61 [1138]P11(f10(x11381,a1,x11383,x11382))+E(f10(f95(x11381,a1),f95(x11381,a1),f7(x11381),f10(f95(x11381,a1),f95(x11381,a1),f10(f95(x11381,f95(a1,a1)),f95(f95(x11381,a1),f95(x11381,a1)),f13(x11381,a1,a1),f10(f95(x11381,a1),f95(x11381,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11381,a1),f95(x11381,f95(a1,a1))),f8(a1,f95(a1,a1),x11381),a97),f10(x11381,f95(x11381,a1),f10(f95(x11381,f95(x11381,a1)),f95(x11381,f95(x11381,a1)),f9(x11381,x11381,a1),f100(x11381)),x11382))),x11383)),f4(f95(x11381,a1)))
% 6.38/6.61 [1139]~P11(f10(x11391,a1,x11393,x11392))+E(f10(f95(x11391,a1),f95(x11391,a1),f7(x11391),f10(f95(x11391,a1),f95(x11391,a1),f10(f95(x11391,f95(a1,a1)),f95(f95(x11391,a1),f95(x11391,a1)),f13(x11391,a1,a1),f10(f95(x11391,a1),f95(x11391,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11391,a1),f95(x11391,f95(a1,a1))),f8(a1,f95(a1,a1),x11391),a97),f10(x11391,f95(x11391,a1),f10(f95(x11391,f95(x11391,a1)),f95(x11391,f95(x11391,a1)),f9(x11391,x11391,a1),f100(x11391)),x11392))),x11393)),f10(f95(x11391,a1),f95(x11391,a1),f10(x11391,f95(f95(x11391,a1),f95(x11391,a1)),f111(x11391),x11392),f4(f95(x11391,a1))))
% 6.38/6.61 [1158]~P11(f10(f95(x11581,a1),a1,f103(x11581),f10(f95(x11581,a1),f95(x11581,a1),f7(x11581),x11583)))+P11(f10(f95(x11581,a1),a1,f103(x11581),f10(f95(x11581,a1),f95(x11581,a1),f7(x11581),f10(f95(x11581,a1),f95(x11581,a1),f10(f95(x11581,f95(a1,a1)),f95(f95(x11581,a1),f95(x11581,a1)),f13(x11581,a1,a1),f10(f95(x11581,a1),f95(x11581,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11581,a1),f95(x11581,f95(a1,a1))),f8(a1,f95(a1,a1),x11581),a97),x11582)),x11583))))
% 6.38/6.61 [1159]~P11(f10(f95(x11591,a1),a1,f103(x11591),f10(f95(x11591,a1),f95(x11591,a1),f7(x11591),x11592)))+P11(f10(f95(x11591,a1),a1,f103(x11591),f10(f95(x11591,a1),f95(x11591,a1),f7(x11591),f10(f95(x11591,a1),f95(x11591,a1),f10(f95(x11591,f95(a1,a1)),f95(f95(x11591,a1),f95(x11591,a1)),f13(x11591,a1,a1),f10(f95(x11591,a1),f95(x11591,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11591,a1),f95(x11591,f95(a1,a1))),f8(a1,f95(a1,a1),x11591),a97),x11592)),x11593))))
% 6.38/6.61 [1171]P11(f10(f95(x11711,a1),a1,f103(x11711),f10(f95(x11711,a1),f95(x11711,a1),f7(x11711),x11712)))+~P11(f10(f95(x11711,a1),a1,f103(x11711),f10(f95(x11711,a1),f95(x11711,a1),f7(x11711),f10(f95(x11711,a1),f95(x11711,a1),f10(f95(x11711,f95(a1,a1)),f95(f95(x11711,a1),f95(x11711,a1)),f13(x11711,a1,a1),f10(f95(x11711,a1),f95(x11711,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11711,a1),f95(x11711,f95(a1,a1))),f8(a1,f95(a1,a1),x11711),a98),x11713)),x11712))))
% 6.38/6.61 [1172]P11(f10(f95(x11721,a1),a1,f103(x11721),f10(f95(x11721,a1),f95(x11721,a1),f7(x11721),x11722)))+~P11(f10(f95(x11721,a1),a1,f103(x11721),f10(f95(x11721,a1),f95(x11721,a1),f7(x11721),f10(f95(x11721,a1),f95(x11721,a1),f10(f95(x11721,f95(a1,a1)),f95(f95(x11721,a1),f95(x11721,a1)),f13(x11721,a1,a1),f10(f95(x11721,a1),f95(x11721,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11721,a1),f95(x11721,f95(a1,a1))),f8(a1,f95(a1,a1),x11721),a98),x11722)),x11723))))
% 6.38/6.61 [615]~E(f10(f95(x6151,a1),f95(x6151,a1),f5(f95(x6151,a1)),x6154),f4(f95(x6151,a1)))+E(f10(f95(x6151,a1),f95(x6152,a1),f10(f95(x6151,x6152),f95(f95(x6151,a1),f95(x6152,a1)),f112(x6151,x6152),x6153),x6154),f4(f95(x6152,a1)))
% 6.38/6.61 [630]~E(f10(f95(x6301,a1),f95(x6303,a1),f10(f95(x6301,x6303),f95(f95(x6301,a1),f95(x6303,a1)),f112(x6301,x6303),x6304),x6302),f4(f95(x6303,a1)))+E(f10(f95(x6301,a1),f95(x6301,a1),f5(f95(x6301,a1)),x6302),f4(f95(x6301,a1)))
% 6.38/6.61 [663]E(f10(f95(x6631,a1),f95(x6631,a1),f5(f95(x6631,a1)),x6632),f4(f95(x6631,a1)))+~E(f10(f95(x6633,a1),f95(f130(x6631,x6633),a1),f10(f95(x6631,a1),f95(f95(x6633,a1),f95(f130(x6631,x6633),a1)),f131(x6631,x6633),x6632),x6634),f4(f95(f130(x6631,x6633),a1)))
% 6.38/6.61 [664]E(f10(f95(x6641,a1),f95(x6641,a1),f5(f95(x6641,a1)),x6642),f4(f95(x6641,a1)))+~E(f10(f95(x6641,a1),f95(f130(x6643,x6641),a1),f10(f95(x6643,a1),f95(f95(x6641,a1),f95(f130(x6643,x6641),a1)),f131(x6643,x6641),x6644),x6642),f4(f95(f130(x6643,x6641),a1)))
% 6.38/6.61 [676]~E(f10(x6761,x6762,x6763,f71(x6761,x6762,x6763,x6764)),f10(x6761,x6762,x6764,f71(x6761,x6762,x6763,x6764)))+E(f10(f95(x6761,x6762),f95(x6761,x6762),f5(f95(x6761,x6762)),x6763),f10(f95(x6761,x6762),f95(x6761,x6762),f5(f95(x6761,x6762)),x6764))
% 6.38/6.61 [819]E(f10(x8191,x8191,f10(x8191,f95(x8191,x8191),x8192,x8193),x8193),f10(x8191,x8191,f5(x8191),x8193))+~P11(f10(f95(f95(x8191,a1),x8191),a1,f10(f95(x8191,f95(x8191,x8191)),f95(f95(f95(x8191,a1),x8191),a1),f101(x8191),x8192),x8194))
% 6.38/6.61 [1124]~P11(f10(f95(x11242,a1),a1,f103(x11242),x11244))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(f95(x11241,a1),a3,f96(x11241),f10(f95(x11242,a1),f95(x11241,a1),f10(f95(x11242,x11241),f95(f95(x11242,a1),f95(x11241,a1)),f112(x11242,x11241),x11243),x11244))),f10(f95(x11242,a1),a3,f96(x11242),x11244)))
% 6.38/6.61 [729]P11(f10(f95(x7292,a1),a1,f103(x7292),x7294))+E(f10(f95(f130(x7291,x7292),a1),a3,f96(f130(x7291,x7292)),f10(f95(x7292,a1),f95(f130(x7291,x7292),a1),f10(f95(x7291,a1),f95(f95(x7292,a1),f95(f130(x7291,x7292),a1)),f131(x7291,x7292),x7293),x7294)),f114(a3))
% 6.38/6.61 [730]P11(f10(f95(x7301,a1),a1,f103(x7301),x7303))+E(f10(f95(f130(x7301,x7302),a1),a3,f96(f130(x7301,x7302)),f10(f95(x7302,a1),f95(f130(x7301,x7302),a1),f10(f95(x7301,a1),f95(f95(x7302,a1),f95(f130(x7301,x7302),a1)),f131(x7301,x7302),x7303),x7304)),f114(a3))
% 6.38/6.61 [738]E(f10(f95(x7381,a1),f95(x7381,a1),f5(f95(x7381,a1)),x7382),f4(f95(x7381,a1)))+E(f10(f95(x7381,a1),f95(x7383,a1),f10(f95(x7381,x7383),f95(f95(x7381,a1),f95(x7383,a1)),f112(x7381,x7383),f10(x7383,f95(x7381,x7383),f12(x7383,x7381),x7384)),x7382),f10(f95(x7383,a1),f95(x7383,a1),f10(x7383,f95(f95(x7383,a1),f95(x7383,a1)),f111(x7383),x7384),f4(f95(x7383,a1))))
% 6.38/6.61 [825]~P11(f10(x8251,a1,x8253,x8254))+P11(f10(x8251,a1,f10(f95(x8251,a1),f95(x8251,a1),f10(x8251,f95(f95(x8251,a1),f95(x8251,a1)),f111(x8251),x8252),x8253),x8254))
% 6.38/6.61 [826]~E(f10(x8261,x8261,f5(x8261),x8262),f10(x8261,x8261,f5(x8261),x8264))+P11(f10(x8261,a1,f10(f95(x8261,a1),f95(x8261,a1),f10(x8261,f95(f95(x8261,a1),f95(x8261,a1)),f111(x8261),x8262),x8263),x8264))
% 6.38/6.61 [851]~P11(f10(f95(x8512,a1),a1,f103(x8512),x8514))+P11(f10(f95(x8511,a1),a1,f103(x8511),f10(f95(x8512,a1),f95(x8511,a1),f10(f95(x8512,x8511),f95(f95(x8512,a1),f95(x8511,a1)),f112(x8512,x8511),x8513),x8514)))
% 6.38/6.61 [889]~E(f10(x8891,x8891,f5(x8891),x8892),f10(x8891,x8891,f5(x8891),x8893))+P11(f10(f95(x8891,a1),a1,f10(x8891,f95(f95(x8891,a1),a1),f110(x8891),x8892),f10(f95(x8891,a1),f95(x8891,a1),f10(x8891,f95(f95(x8891,a1),f95(x8891,a1)),f111(x8891),x8893),x8894)))
% 6.38/6.61 [891]E(f10(f95(x8911,a1),x8911,x8912,f10(f95(x8911,a1),f95(x8911,a1),f10(x8911,f95(f95(x8911,a1),f95(x8911,a1)),f111(x8911),x8913),f4(f95(x8911,a1)))),f10(x8911,x8911,f5(x8911),x8913))+~P11(f10(f95(f95(x8911,a1),x8911),a1,f10(f95(x8911,f95(x8911,x8911)),f95(f95(f95(x8911,a1),x8911),a1),f105(x8911),x8914),x8912))
% 6.38/6.61 [953]~P11(f10(f95(x9531,a1),a1,f10(x9531,f95(f95(x9531,a1),a1),f110(x9531),x9532),x9534))+P11(f10(f95(x9531,a1),a1,f10(x9531,f95(f95(x9531,a1),a1),f110(x9531),x9532),f10(f95(x9531,a1),f95(x9531,a1),f10(x9531,f95(f95(x9531,a1),f95(x9531,a1)),f111(x9531),x9533),x9534)))
% 6.38/6.61 [964]~P11(f10(f95(x9641,a1),a1,f10(f95(x9641,a1),f95(f95(x9641,a1),a1),f122(f95(x9641,a1)),x9642),x9644))+P11(f10(f95(x9641,a1),a1,f10(f95(x9641,a1),f95(f95(x9641,a1),a1),f122(f95(x9641,a1)),x9642),f10(f95(x9641,a1),f95(x9641,a1),f10(x9641,f95(f95(x9641,a1),f95(x9641,a1)),f111(x9641),x9643),x9644)))
% 6.38/6.61 [984]P11(f10(f95(x9841,a1),a1,f103(x9841),x9842))+~P11(f10(f95(f130(x9843,x9841),a1),a1,f103(f130(x9843,x9841)),f10(f95(x9841,a1),f95(f130(x9843,x9841),a1),f10(f95(x9843,a1),f95(f95(x9841,a1),f95(f130(x9843,x9841),a1)),f131(x9843,x9841),x9844),x9842)))
% 6.38/6.61 [985]P11(f10(f95(x9851,a1),a1,f103(x9851),x9852))+~P11(f10(f95(f130(x9851,x9853),a1),a1,f103(f130(x9851,x9853)),f10(f95(x9853,a1),f95(f130(x9851,x9853),a1),f10(f95(x9851,a1),f95(f95(x9853,a1),f95(f130(x9851,x9853),a1)),f131(x9851,x9853),x9852),x9854)))
% 6.38/6.61 [1086]~P11(f10(f95(x10861,a1),a1,f10(f95(x10861,a1),f95(f95(x10861,a1),a1),f122(f95(x10861,a1)),x10863),x10864))+P11(f10(f95(x10861,a1),a1,f10(f95(x10861,a1),f95(f95(x10861,a1),a1),f122(f95(x10861,a1)),f10(f95(x10861,a1),f95(x10861,a1),f10(x10861,f95(f95(x10861,a1),f95(x10861,a1)),f111(x10861),x10862),x10863)),f10(f95(x10861,a1),f95(x10861,a1),f10(x10861,f95(f95(x10861,a1),f95(x10861,a1)),f111(x10861),x10862),x10864)))
% 6.38/6.61 [869]~P2(x8691)+E(f10(x8691,x8691,f10(x8691,f95(x8691,x8691),f124(x8691),f10(x8691,x8691,f10(x8691,f95(x8691,x8691),f124(x8691),x8692),x8693)),x8694),f10(x8691,x8691,f10(x8691,f95(x8691,x8691),f124(x8691),x8692),f10(x8691,x8691,f10(x8691,f95(x8691,x8691),f124(x8691),x8693),x8694)))
% 6.38/6.61 [961]E(f10(f95(x9611,a1),f95(x9611,a1),f10(f95(x9611,a1),f95(f95(x9611,a1),f95(x9611,a1)),f113(f95(x9611,a1)),f10(f95(x9611,a1),f95(x9611,a1),f10(x9611,f95(f95(x9611,a1),f95(x9611,a1)),f111(x9611),x9612),x9613)),x9614),f10(f95(x9611,a1),f95(x9611,a1),f10(f95(x9611,a1),f95(f95(x9611,a1),f95(x9611,a1)),f113(f95(x9611,a1)),x9613),x9614))+~P11(f10(f95(x9611,a1),a1,f10(x9611,f95(f95(x9611,a1),a1),f110(x9611),x9612),x9614))
% 6.38/6.61 [987]E(f10(f95(x9871,a1),f95(x9871,a1),f10(f95(x9871,a1),f95(f95(x9871,a1),f95(x9871,a1)),f113(f95(x9871,a1)),f10(f95(x9871,a1),f95(x9871,a1),f10(x9871,f95(f95(x9871,a1),f95(x9871,a1)),f111(x9871),x9872),x9873)),x9874),f10(f95(x9871,a1),f95(x9871,a1),f10(x9871,f95(f95(x9871,a1),f95(x9871,a1)),f111(x9871),x9872),f10(f95(x9871,a1),f95(x9871,a1),f10(f95(x9871,a1),f95(f95(x9871,a1),f95(x9871,a1)),f113(f95(x9871,a1)),x9873),x9874)))+P11(f10(f95(x9871,a1),a1,f10(x9871,f95(f95(x9871,a1),a1),f110(x9871),x9872),x9874))
% 6.38/6.61 [1003]P11(f10(f95(x10031,a1),a1,f103(x10031),x10032))+~E(f10(f95(x10031,a1),f95(x10031,a1),f5(f95(x10031,a1)),x10032),f10(f95(a3,a1),f95(x10031,a1),f10(f95(a3,x10031),f95(f95(a3,a1),f95(x10031,a1)),f112(a3,x10031),x10033),f10(f95(a3,a1),f95(a3,a1),f7(a3),f10(a3,f95(a3,a1),f10(f95(a3,f95(a3,a1)),f95(a3,f95(a3,a1)),f9(a3,a3,a1),f123(a3)),x10034))))
% 6.38/6.61 [1017]P11(f10(f95(x10171,a1),a1,f10(x10171,f95(f95(x10171,a1),a1),f110(x10171),x10172),x10173))+~P11(f10(f95(x10171,a1),a1,f10(x10171,f95(f95(x10171,a1),a1),f110(x10171),x10172),f10(f95(x10171,a1),f95(x10171,a1),f10(f95(x10171,a1),f95(f95(x10171,a1),f95(x10171,a1)),f113(f95(x10171,a1)),x10173),x10174)))
% 6.38/6.61 [1031]~P11(f10(f95(x10311,a1),a1,f10(x10311,f95(f95(x10311,a1),a1),f110(x10311),x10312),x10313))+~P11(f10(f95(x10311,a1),a1,f10(x10311,f95(f95(x10311,a1),a1),f110(x10311),x10312),f10(f95(x10311,a1),f95(x10311,a1),f10(f95(x10311,a1),f95(f95(x10311,a1),f95(x10311,a1)),f113(f95(x10311,a1)),x10314),x10313)))
% 6.38/6.61 [1088]P11(f10(f95(x10881,a1),a1,f10(x10881,f95(f95(x10881,a1),a1),f110(x10881),x10882),x10883))+~P11(f10(f95(x10881,a1),a1,f10(f95(x10881,a1),f95(f95(x10881,a1),a1),f122(f95(x10881,a1)),f10(f95(x10881,a1),f95(x10881,a1),f10(x10881,f95(f95(x10881,a1),f95(x10881,a1)),f111(x10881),x10882),x10884)),x10883))
% 6.38/6.61 [1092]P11(f10(f95(x10921,a1),a1,f10(f95(x10921,a1),f95(f95(x10921,a1),a1),f122(f95(x10921,a1)),x10922),x10923))+~P11(f10(f95(x10921,a1),a1,f10(f95(x10921,a1),f95(f95(x10921,a1),a1),f122(f95(x10921,a1)),f10(f95(x10921,a1),f95(x10921,a1),f10(x10921,f95(f95(x10921,a1),f95(x10921,a1)),f111(x10921),x10924),x10922)),x10923))
% 6.38/6.61 [1114]~P11(f10(f95(x11141,a1),a1,f103(x11141),f10(f95(x11141,a1),f95(x11141,a1),f10(f95(x11141,a1),f95(f95(x11141,a1),f95(x11141,a1)),f113(f95(x11141,a1)),x11142),x11144)))+P11(f10(f95(x11141,a1),a1,f103(x11141),f10(f95(x11141,a1),f95(x11141,a1),f10(f95(x11141,a1),f95(f95(x11141,a1),f95(x11141,a1)),f113(f95(x11141,a1)),x11142),f10(f95(x11141,a1),f95(x11141,a1),f10(x11141,f95(f95(x11141,a1),f95(x11141,a1)),f111(x11141),x11143),x11144))))
% 6.38/6.61 [1129]~P11(f10(f95(x11291,a1),a1,f103(x11291),f10(f95(x11291,a1),f95(x11291,a1),f10(f95(x11291,a1),f95(f95(x11291,a1),f95(x11291,a1)),f113(f95(x11291,a1)),x11292),f10(f95(x11291,a1),f95(x11291,a1),f10(x11291,f95(f95(x11291,a1),f95(x11291,a1)),f111(x11291),x11294),x11293))))+P11(f10(f95(x11291,a1),a1,f103(x11291),f10(f95(x11291,a1),f95(x11291,a1),f10(f95(x11291,a1),f95(f95(x11291,a1),f95(x11291,a1)),f113(f95(x11291,a1)),x11292),x11293)))
% 6.38/6.61 [1173]P11(x11732)+E(f10(f95(x11731,a1),x11731,f129(x11731),f10(f95(x11731,a1),f95(x11731,a1),f10(f95(x11731,f95(a1,a1)),f95(f95(x11731,a1),f95(x11731,a1)),f13(x11731,a1,a1),f10(f95(x11731,a1),f95(x11731,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11731,a1),f95(x11731,f95(a1,a1))),f8(a1,f95(a1,a1),x11731),a97),f10(f95(x11731,a1),f95(x11731,a1),f10(f95(a1,a1),f95(f95(x11731,a1),f95(x11731,a1)),f8(a1,a1,x11731),f10(a1,f95(a1,a1),a99,x11732)),f10(x11731,f95(x11731,a1),f10(f95(x11731,f95(x11731,a1)),f95(x11731,f95(x11731,a1)),f9(x11731,x11731,a1),f100(x11731)),x11733)))),f10(f95(x11731,a1),f95(x11731,a1),f10(f95(a1,a1),f95(f95(x11731,a1),f95(x11731,a1)),f8(a1,a1,x11731),f10(a1,f95(a1,a1),a99,f10(a1,a1,a94,x11732))),f10(x11731,f95(x11731,a1),f10(f95(x11731,f95(x11731,a1)),f95(x11731,f95(x11731,a1)),f9(x11731,x11731,a1),f100(x11731)),x11734)))),f10(x11731,x11731,f5(x11731),x11734))
% 6.38/6.61 [1174]~P11(x11742)+E(f10(f95(x11741,a1),x11741,f129(x11741),f10(f95(x11741,a1),f95(x11741,a1),f10(f95(x11741,f95(a1,a1)),f95(f95(x11741,a1),f95(x11741,a1)),f13(x11741,a1,a1),f10(f95(x11741,a1),f95(x11741,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11741,a1),f95(x11741,f95(a1,a1))),f8(a1,f95(a1,a1),x11741),a97),f10(f95(x11741,a1),f95(x11741,a1),f10(f95(a1,a1),f95(f95(x11741,a1),f95(x11741,a1)),f8(a1,a1,x11741),f10(a1,f95(a1,a1),a99,x11742)),f10(x11741,f95(x11741,a1),f10(f95(x11741,f95(x11741,a1)),f95(x11741,f95(x11741,a1)),f9(x11741,x11741,a1),f100(x11741)),x11743)))),f10(f95(x11741,a1),f95(x11741,a1),f10(f95(a1,a1),f95(f95(x11741,a1),f95(x11741,a1)),f8(a1,a1,x11741),f10(a1,f95(a1,a1),a99,f10(a1,a1,a94,x11742))),f10(x11741,f95(x11741,a1),f10(f95(x11741,f95(x11741,a1)),f95(x11741,f95(x11741,a1)),f9(x11741,x11741,a1),f100(x11741)),x11744)))),f10(x11741,x11741,f5(x11741),x11743))
% 6.38/6.61 [760]E(f10(x7601,x7601,f10(x7602,f95(x7601,x7601),x7603,x7604),f10(x7601,x7601,f10(x7602,f95(x7601,x7601),x7603,x7604),x7605)),f10(x7601,x7601,f10(x7602,f95(x7601,x7601),x7603,x7604),x7605))+~P11(f10(f95(x7602,f95(x7601,x7601)),a1,f104(x7602,x7601),x7603))
% 6.38/6.61 [862]E(f10(f95(x8621,a1),f95(x8622,a1),f10(f95(x8621,x8622),f95(f95(x8621,a1),f95(x8622,a1)),f112(x8621,x8622),f10(x8622,f95(x8621,x8622),f12(x8622,x8621),x8623)),x8624),f10(f95(x8622,a1),f95(x8622,a1),f10(x8622,f95(f95(x8622,a1),f95(x8622,a1)),f111(x8622),x8623),f4(f95(x8622,a1))))+~P11(f10(f95(x8621,a1),a1,f10(x8621,f95(f95(x8621,a1),a1),f110(x8621),x8625),x8624))
% 6.38/6.61 [938]E(f10(f95(x9381,a1),f95(x9381,a1),f10(x9381,f95(f95(x9381,a1),f95(x9381,a1)),f111(x9381),f10(x9382,x9381,x9383,x9384)),f10(f95(x9382,a1),f95(x9381,a1),f10(f95(x9382,x9381),f95(f95(x9382,a1),f95(x9381,a1)),f112(x9382,x9381),x9383),x9385)),f10(f95(x9382,a1),f95(x9381,a1),f10(f95(x9382,x9381),f95(f95(x9382,a1),f95(x9381,a1)),f112(x9382,x9381),x9383),x9385))+~P11(f10(f95(x9382,a1),a1,f10(x9382,f95(f95(x9382,a1),a1),f110(x9382),x9384),x9385))
% 6.38/6.61 [997]~P11(f10(f95(x9972,a1),a1,f10(x9972,f95(f95(x9972,a1),a1),f110(x9972),x9974),x9975))+P11(f10(f95(x9971,a1),a1,f10(x9971,f95(f95(x9971,a1),a1),f110(x9971),f10(x9972,x9971,x9973,x9974)),f10(f95(x9972,a1),f95(x9971,a1),f10(f95(x9972,x9971),f95(f95(x9972,a1),f95(x9971,a1)),f112(x9972,x9971),x9973),x9975)))
% 6.38/6.61 [1026]E(f10(x10261,x10261,f5(x10261),x10262),f10(x10263,x10261,x10264,f80(x10261,x10263,x10262,x10264,x10265)))+~P11(f10(f95(x10261,a1),a1,f10(x10261,f95(f95(x10261,a1),a1),f110(x10261),x10262),f10(f95(x10263,a1),f95(x10261,a1),f10(f95(x10263,x10261),f95(f95(x10263,a1),f95(x10261,a1)),f112(x10263,x10261),x10264),x10265)))
% 6.38/6.61 [1027]E(f10(x10271,x10271,f5(x10271),x10272),f10(x10273,x10271,x10274,f91(x10271,x10273,x10272,x10274,x10275)))+~P11(f10(f95(x10271,a1),a1,f10(x10271,f95(f95(x10271,a1),a1),f110(x10271),x10272),f10(f95(x10273,a1),f95(x10271,a1),f10(f95(x10273,x10271),f95(f95(x10273,a1),f95(x10271,a1)),f112(x10273,x10271),x10274),x10275)))
% 6.38/6.61 [1062]E(f10(f95(x10621,a1),f95(x10622,a1),f10(f95(x10621,x10622),f95(f95(x10621,a1),f95(x10622,a1)),f112(x10621,x10622),x10623),f92(x10622,x10621,x10624,x10623,x10625)),f10(f95(x10622,a1),f95(x10622,a1),f5(f95(x10622,a1)),x10624))+~P11(f10(f95(x10622,a1),a1,f10(f95(x10622,a1),f95(f95(x10622,a1),a1),f122(f95(x10622,a1)),x10624),f10(f95(x10621,a1),f95(x10622,a1),f10(f95(x10621,x10622),f95(f95(x10621,a1),f95(x10622,a1)),f112(x10621,x10622),x10623),x10625)))
% 6.38/6.61 [1098]~P11(f10(f95(x10982,a1),a1,f10(f95(x10982,a1),f95(f95(x10982,a1),a1),f122(f95(x10982,a1)),x10984),x10985))+P11(f10(f95(x10981,a1),a1,f10(f95(x10981,a1),f95(f95(x10981,a1),a1),f122(f95(x10981,a1)),f10(f95(x10982,a1),f95(x10981,a1),f10(f95(x10982,x10981),f95(f95(x10982,a1),f95(x10981,a1)),f112(x10982,x10981),x10983),x10984)),f10(f95(x10982,a1),f95(x10981,a1),f10(f95(x10982,x10981),f95(f95(x10982,a1),f95(x10981,a1)),f112(x10982,x10981),x10983),x10985)))
% 6.38/6.61 [1112]P11(f10(f95(x11121,a1),a1,f10(x11121,f95(f95(x11121,a1),a1),f110(x11121),f80(x11122,x11121,x11123,x11124,x11125)),x11125))+~P11(f10(f95(x11122,a1),a1,f10(x11122,f95(f95(x11122,a1),a1),f110(x11122),x11123),f10(f95(x11121,a1),f95(x11122,a1),f10(f95(x11121,x11122),f95(f95(x11121,a1),f95(x11122,a1)),f112(x11121,x11122),x11124),x11125)))
% 6.38/6.61 [1113]P11(f10(f95(x11131,a1),a1,f10(x11131,f95(f95(x11131,a1),a1),f110(x11131),f91(x11132,x11131,x11133,x11134,x11135)),x11135))+~P11(f10(f95(x11132,a1),a1,f10(x11132,f95(f95(x11132,a1),a1),f110(x11132),x11133),f10(f95(x11131,a1),f95(x11132,a1),f10(f95(x11131,x11132),f95(f95(x11131,a1),f95(x11132,a1)),f112(x11131,x11132),x11134),x11135)))
% 6.38/6.61 [1115]P11(f10(f95(x11151,a1),a1,f10(f95(x11151,a1),f95(f95(x11151,a1),a1),f122(f95(x11151,a1)),f92(x11152,x11151,x11153,x11154,x11155)),x11155))+~P11(f10(f95(x11152,a1),a1,f10(f95(x11152,a1),f95(f95(x11152,a1),a1),f122(f95(x11152,a1)),x11153),f10(f95(x11151,a1),f95(x11152,a1),f10(f95(x11151,x11152),f95(f95(x11151,a1),f95(x11152,a1)),f112(x11151,x11152),x11154),x11155)))
% 6.38/6.61 [798]~P1(x7982)+E(f10(x7981,x7982,f10(f95(x7981,x7982),f95(x7981,x7982),f10(f95(x7981,x7982),f95(f95(x7981,x7982),f95(x7981,x7982)),f113(f95(x7981,x7982)),x7983),x7984),x7985),f10(x7982,x7982,f10(x7982,f95(x7982,x7982),f113(x7982),f10(x7981,x7982,x7983,x7985)),f10(x7981,x7982,x7984,x7985)))
% 6.38/6.61 [1118]P11(f10(f95(x11181,a1),a1,f10(x11181,f95(f95(x11181,a1),a1),f110(x11181),f19(x11182,x11181,x11183,x11184,x11185)),x11185))+P11(f10(f95(x11182,a1),a1,f10(f95(x11182,a1),f95(f95(x11182,a1),a1),f122(f95(x11182,a1)),f10(f95(x11181,a1),f95(x11182,a1),f10(f95(x11181,x11182),f95(f95(x11181,a1),f95(x11182,a1)),f112(x11181,x11182),x11183),x11185)),x11184))
% 6.38/6.61 [1143]~P11(f10(f95(x11431,a1),a1,f10(x11431,f95(f95(x11431,a1),a1),f110(x11431),f10(x11432,x11431,x11433,f19(x11431,x11432,x11433,x11435,x11434))),x11435))+P11(f10(f95(x11431,a1),a1,f10(f95(x11431,a1),f95(f95(x11431,a1),a1),f122(f95(x11431,a1)),f10(f95(x11432,a1),f95(x11431,a1),f10(f95(x11432,x11431),f95(f95(x11432,a1),f95(x11431,a1)),f112(x11432,x11431),x11433),x11434)),x11435))
% 6.38/6.61 [1141]E(f10(f95(x11411,a1),x11412,x11413,f4(f95(x11411,a1))),f10(x11412,x11412,f5(x11412),x11414))+~P11(f10(f95(f95(x11411,a1),x11412),a1,f10(f95(x11411,x11412),f95(f95(f95(x11411,a1),x11412),a1),f10(x11412,f95(f95(x11411,x11412),f95(f95(f95(x11411,a1),x11412),a1)),f10(f95(x11412,f95(x11412,x11412)),f95(x11412,f95(f95(x11411,x11412),f95(f95(f95(x11411,a1),x11412),a1))),f102(x11412,x11411),x11415),x11414),x11416),x11413))
% 6.38/6.61 [556]~P7(x5561)+~P7(x5562)+P7(f95(x5561,x5562))
% 6.38/6.61 [557]~P7(x5571)+~P7(x5572)+P7(f130(x5571,x5572))
% 6.38/6.61 [626]~P5(x6261)+~E(f10(x6261,x6261,f5(x6261),x6262),f4(x6261))+P11(f10(x6261,a1,f10(x6261,f95(x6261,a1),f122(x6261),x6262),f4(x6261)))
% 6.38/6.61 [669]~P5(x6691)+E(f10(x6691,x6691,f5(x6691),x6692),f4(x6691))+~P11(f10(x6691,a1,f10(x6691,f95(x6691,a1),f122(x6691),x6692),f4(x6691)))
% 6.38/6.61 [989]~P13(x9891)+~P11(f10(x9891,a1,f10(x9891,f95(x9891,a1),f122(x9891),x9892),f114(x9891)))+P11(f10(x9891,a1,f10(x9891,f95(x9891,a1),f122(x9891),f10(x9891,x9891,f10(x9891,f95(x9891,x9891),f124(x9891),x9892),x9892)),f114(x9891)))
% 6.38/6.61 [1063]~P13(x10631)+~P11(f10(x10631,a1,f10(x10631,f95(x10631,a1),f122(x10631),f10(x10631,x10631,f10(x10631,f95(x10631,x10631),f124(x10631),x10632),x10632)),f114(x10631)))+P11(f10(x10631,a1,f10(x10631,f95(x10631,a1),f122(x10631),x10632),f114(x10631)))
% 6.38/6.61 [588]~P13(x5881)+~E(f10(x5881,x5881,f5(x5881),x5882),f114(x5881))+E(f10(x5881,x5881,f10(x5881,f95(x5881,x5881),f124(x5881),x5882),x5882),f114(x5881))
% 6.38/6.61 [593]~E(x5932,f114(a3))+~E(x5931,f10(a3,a3,a125,f114(a3)))+E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5931),x5932),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [594]~E(x5941,f114(a3))+~E(x5942,f10(a3,a3,a125,f114(a3)))+E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x5941),x5942),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [595]~P13(x5951)+E(f10(x5951,x5951,f5(x5951),x5952),f114(x5951))+~E(f10(x5951,x5951,f10(x5951,f95(x5951,x5951),f124(x5951),x5952),x5952),f114(x5951))
% 6.38/6.61 [600]~P11(x6002)+~P11(x6001)+P11(f10(a1,a1,f10(a1,f95(a1,a1),a97,x6001),x6002))
% 6.38/6.61 [610]E(x6101,f114(a3))+E(x6102,f114(a3))+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6102),x6101),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [619]E(f10(f95(x6191,a1),f95(x6191,a1),f5(f95(x6191,a1)),x6192),f4(f95(x6191,a1)))+~P11(f10(f95(x6191,a1),a1,f103(x6191),x6192))+P11(f10(f95(x6191,a1),a1,f103(x6191),f23(x6191,x6192)))
% 6.38/6.61 [622]E(x6221,f114(a3))+E(x6221,f10(a3,a3,a125,f114(a3)))+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6222),x6221),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [623]E(x6231,f114(a3))+E(x6231,f10(a3,a3,a125,f114(a3)))+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6231),x6232),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [624]~P5(x6241)+E(f10(x6241,x6241,f5(x6241),x6242),f4(x6241))+P11(f10(x6241,a1,f10(x6241,f95(x6241,a1),f123(x6241),f4(x6241)),x6242))
% 6.38/6.61 [628]E(x6281,f10(a3,a3,a125,f114(a3)))+E(x6282,f10(a3,a3,a125,f114(a3)))+~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x6281),x6282),f10(a3,a3,a125,f114(a3)))
% 6.38/6.61 [645]P11(x6451)+P11(x6452)+~P11(f10(a1,a1,f10(a1,f95(a1,a1),a98,x6452),x6451))
% 6.38/6.61 [646]P11(x6461)+~P11(x6462)+~P11(f10(a1,a1,f10(a1,f95(a1,a1),a99,x6462),x6461))
% 6.38/6.61 [654]E(x6541,x6542)+~E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x6542),x6541),f114(a3))+~E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x6541),x6542),f114(a3))
% 6.38/6.61 [665]E(f10(f95(x6651,a1),f95(x6651,a1),f10(x6651,f95(f95(x6651,a1),f95(x6651,a1)),f111(x6651),f31(x6651,x6652)),f23(x6651,x6652)),f10(f95(x6651,a1),f95(x6651,a1),f5(f95(x6651,a1)),x6652))+E(f10(f95(x6651,a1),f95(x6651,a1),f5(f95(x6651,a1)),x6652),f4(f95(x6651,a1)))+~P11(f10(f95(x6651,a1),a1,f103(x6651),x6652))
% 6.38/6.61 [673]~P5(x6731)+~E(f10(x6731,x6731,f5(x6731),x6732),f4(x6731))+~P11(f10(x6731,a1,f10(x6731,f95(x6731,a1),f123(x6731),f4(x6731)),x6732))
% 6.38/6.61 [674]E(x6741,f10(a3,a3,a125,x6742))+E(f10(a3,a3,a125,f65(x6742,x6741)),x6741)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x6742),x6741))
% 6.38/6.61 [688]E(x6881,x6882)+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x6882),x6881))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x6881),x6882))
% 6.38/6.61 [752]E(x7521,x7522)+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7521),x7522))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7521),x7522))
% 6.38/6.61 [765]E(x7651,f10(a3,a3,a125,x7652))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7652),f65(x7652,x7651)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x7652),x7651))
% 6.38/6.61 [796]E(x7961,x7962)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7962),x7961))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7961),x7962))
% 6.38/6.61 [820]~P11(f10(f95(a3,a1),a1,f103(a3),x8202))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8201),f54(x8202)))+~P11(f10(f95(a3,a1),a1,f10(a3,f95(f95(a3,a1),a1),f110(a3),x8201),x8202))
% 6.38/6.61 [821]~P11(f10(f95(a3,a1),a1,f103(a3),x8212))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8211),f18(x8212)))+~P11(f10(f95(a3,a1),a1,f10(a3,f95(f95(a3,a1),a1),f110(a3),x8211),x8212))
% 6.38/6.61 [836]E(x8361,x8362)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8361),f10(a3,a3,a125,x8362)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8361),x8362))
% 6.38/6.61 [847]E(x8471,f10(a3,a3,a125,x8472))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8471),f10(a3,a3,a125,x8472)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8471),x8472))
% 6.38/6.61 [859]E(f10(a3,a3,a125,x8591),x8592)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8591),x8592))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x8591)),x8592))
% 6.38/6.61 [868]E(x8681,x8682)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8681),f10(a3,a3,a125,x8682)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8682),x8681))
% 6.38/6.61 [919]~P13(x9191)+~P11(f10(x9191,a1,f10(x9191,f95(x9191,a1),f122(x9191),f114(x9191)),x9192))+P11(f10(x9191,a1,f10(x9191,f95(x9191,a1),f122(x9191),f114(x9191)),f10(x9191,x9191,f10(x9191,f95(x9191,x9191),f124(x9191),x9192),x9192)))
% 6.38/6.61 [959]~P13(x9591)+P11(f10(x9591,a1,f10(x9591,f95(x9591,a1),f122(x9591),f114(x9591)),x9592))+~P11(f10(x9591,a1,f10(x9591,f95(x9591,a1),f122(x9591),f114(x9591)),f10(x9591,x9591,f10(x9591,f95(x9591,x9591),f124(x9591),x9592),x9592)))
% 6.38/6.61 [1023]~P11(f10(a6,a1,a134,x10232))+P11(f10(f95(a115,a1),a1,f10(a115,f95(f95(a115,a1),a1),f110(a115),f20(x10231,x10232)),a127))+P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,x10231),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a6,a133,a109,x10232)),f4(f95(a133,a1)))))
% 6.38/6.61 [1130]~P11(f10(a6,a1,a134,x11302))+~P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,x11301),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a115,a133,a108,f20(x11301,x11302))),f4(f95(a133,a1)))))+P11(f10(f95(a133,a1),a1,f10(f95(a133,a1),f95(f95(a133,a1),a1),a121,x11301),f10(f95(a133,a1),f95(a133,a1),f10(a133,f95(f95(a133,a1),f95(a133,a1)),f111(a133),f10(a6,a133,a109,x11302)),f4(f95(a133,a1)))))
% 6.38/6.61 [625]E(f10(f95(x6251,a1),x6251,f129(x6251),x6252),f10(x6251,x6251,f5(x6251),x6253))+~P11(f10(x6251,a1,x6252,x6253))+P11(f10(x6251,a1,x6252,f34(x6251,x6252,x6253)))
% 6.38/6.61 [631]~E(f10(x6311,x6311,f5(x6311),f34(x6311,x6312,x6313)),f10(x6311,x6311,f5(x6311),x6313))+E(f10(f95(x6311,a1),x6311,f129(x6311),x6312),f10(x6311,x6311,f5(x6311),x6313))+~P11(f10(x6311,a1,x6312,x6313))
% 6.38/6.61 [606]~E(x6062,x6063)+~P21(x6061)+P11(f10(x6061,a1,f10(x6061,f95(x6061,a1),f122(x6061),x6062),x6063))
% 6.38/6.61 [607]~P3(x6071)+~E(f10(x6071,x6071,f5(x6071),x6072),f10(x6071,x6071,f5(x6071),x6073))+E(f10(x6071,x6071,f10(x6071,f95(x6071,x6071),f113(x6071),x6072),x6073),f114(x6071))
% 6.38/6.61 [608]~P12(x6081)+~E(f10(x6081,x6081,f5(x6081),x6082),f10(x6081,x6081,f5(x6081),x6083))+E(f10(x6081,x6081,f10(x6081,f95(x6081,x6081),f113(x6081),x6082),x6083),f114(x6081))
% 6.38/6.61 [616]~P3(x6161)+E(f10(x6161,x6161,f5(x6161),x6162),f10(x6161,x6161,f5(x6161),x6163))+~E(f10(x6161,x6161,f10(x6161,f95(x6161,x6161),f113(x6161),x6162),x6163),f114(x6161))
% 6.38/6.61 [617]~P12(x6171)+E(f10(x6171,x6171,f5(x6171),x6172),f10(x6171,x6171,f5(x6171),x6173))+~E(f10(x6171,x6171,f10(x6171,f95(x6171,x6171),f113(x6171),x6172),x6173),f114(x6171))
% 6.38/6.61 [637]~P20(x6371)+~E(f10(x6371,x6371,f5(x6371),x6372),f10(x6371,x6371,f5(x6371),x6373))+P11(f10(x6371,a1,f10(x6371,f95(x6371,a1),f122(x6371),x6372),x6373))
% 6.38/6.61 [682]~P11(f10(x6821,a1,x6822,x6823))+P11(f10(x6821,a1,x6822,f48(x6821,x6822,x6823)))+P11(f10(x6821,a1,x6822,f10(f95(x6821,a1),x6821,f129(x6821),x6822)))
% 6.38/6.61 [683]~P11(f10(x6831,a1,x6832,x6833))+P11(f10(x6831,a1,x6832,f51(x6831,x6832,x6833)))+P11(f10(x6831,a1,x6832,f10(f95(x6831,a1),x6831,f129(x6831),x6832)))
% 6.38/6.61 [705]~P10(x7051)+P11(f10(x7051,a1,f10(x7051,f95(x7051,a1),f122(x7051),x7053),x7052))+P11(f10(x7051,a1,f10(x7051,f95(x7051,a1),f123(x7051),x7052),x7053))
% 6.38/6.61 [707]~P10(x7071)+P11(f10(x7071,a1,f10(x7071,f95(x7071,a1),f122(x7071),x7073),x7072))+P11(f10(x7071,a1,f10(x7071,f95(x7071,a1),f122(x7071),x7072),x7073))
% 6.38/6.61 [714]~P20(x7141)+~E(f10(x7141,x7141,f5(x7141),x7142),f10(x7141,x7141,f5(x7141),x7143))+~P11(f10(x7141,a1,f10(x7141,f95(x7141,a1),f123(x7141),x7142),x7143))
% 6.38/6.61 [717]~P10(x7171)+~E(f10(x7171,x7171,f5(x7171),x7172),f10(x7171,x7171,f5(x7171),x7173))+~P11(f10(x7171,a1,f10(x7171,f95(x7171,a1),f123(x7171),x7172),x7173))
% 6.38/6.61 [718]~E(f10(x7181,x7181,f5(x7181),f48(x7181,x7182,x7183)),f10(x7181,x7181,f5(x7181),x7183))+~P11(f10(x7181,a1,x7182,x7183))+P11(f10(x7181,a1,x7182,f10(f95(x7181,a1),x7181,f129(x7181),x7182)))
% 6.38/6.61 [719]~E(f10(x7191,x7191,f5(x7191),f51(x7191,x7192,x7193)),f10(x7191,x7191,f5(x7191),x7193))+~P11(f10(x7191,a1,x7192,x7193))+P11(f10(x7191,a1,x7192,f10(f95(x7191,a1),x7191,f129(x7191),x7192)))
% 6.38/6.61 [727]~P9(x7271)+P11(f10(x7271,a1,f10(x7271,f95(x7271,a1),f123(x7271),f72(x7271,x7273,x7272)),x7272))+P11(f10(x7271,a1,f10(x7271,f95(x7271,a1),f122(x7271),x7272),x7273))
% 6.38/6.61 [756]~P20(x7561)+~P11(f10(x7561,a1,f10(x7561,f95(x7561,a1),f123(x7561),x7562),x7563))+P11(f10(x7561,a1,f10(x7561,f95(x7561,a1),f122(x7561),x7562),x7563))
% 6.38/6.61 [758]~P21(x7581)+~P11(f10(x7581,a1,f10(x7581,f95(x7581,a1),f123(x7581),x7582),x7583))+P11(f10(x7581,a1,f10(x7581,f95(x7581,a1),f122(x7581),x7582),x7583))
% 6.38/6.61 [769]~E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7691),x7693),x7692)+E(x7691,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7692),x7693))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7693),x7691))
% 6.38/6.61 [770]~E(x7701,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x7703),x7702))+E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x7701),x7702),x7703)+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7702),x7701))
% 6.38/6.61 [784]~P9(x7841)+~P11(f10(x7841,a1,f10(x7841,f95(x7841,a1),f122(x7841),f72(x7841,x7843,x7842)),x7843))+P11(f10(x7841,a1,f10(x7841,f95(x7841,a1),f122(x7841),x7842),x7843))
% 6.38/6.61 [806]~P20(x8061)+~P11(f10(x8061,a1,f10(x8061,f95(x8061,a1),f123(x8061),x8063),x8062))+~P11(f10(x8061,a1,f10(x8061,f95(x8061,a1),f123(x8061),x8062),x8063))
% 6.38/6.61 [810]~P21(x8101)+~P11(f10(x8101,a1,f10(x8101,f95(x8101,a1),f123(x8101),x8103),x8102))+~P11(f10(x8101,a1,f10(x8101,f95(x8101,a1),f123(x8101),x8102),x8103))
% 6.38/6.61 [811]~P21(x8111)+~P11(f10(x8111,a1,f10(x8111,f95(x8111,a1),f122(x8111),x8113),x8112))+~P11(f10(x8111,a1,f10(x8111,f95(x8111,a1),f123(x8111),x8112),x8113))
% 6.38/6.61 [812]~P10(x8121)+~P11(f10(x8121,a1,f10(x8121,f95(x8121,a1),f123(x8121),x8123),x8122))+~P11(f10(x8121,a1,f10(x8121,f95(x8121,a1),f123(x8121),x8122),x8123))
% 6.38/6.61 [815]~P10(x8151)+~P11(f10(x8151,a1,f10(x8151,f95(x8151,a1),f122(x8151),x8153),x8152))+~P11(f10(x8151,a1,f10(x8151,f95(x8151,a1),f123(x8151),x8152),x8153))
% 6.38/6.61 [871]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8711),x8713))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8711),x8712))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8713),x8712))
% 6.38/6.61 [940]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9401),x9403))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x9403),x9402))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,a125,x9401)),x9402))
% 6.38/6.61 [957]P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f67(x9571,x9572,x9573)),f69(x9571,x9572,x9573)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,x9573,x9571)),f10(a3,a3,x9573,x9572)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9571),x9572))
% 6.38/6.61 [988]~P26(x9881)+P11(f10(x9881,a1,f10(x9881,f95(x9881,a1),f122(x9881),f10(x9881,x9881,f10(x9881,f95(x9881,x9881),f113(x9881),x9882),x9883)),f114(x9881)))+~P11(f10(x9881,a1,f10(x9881,f95(x9881,a1),f122(x9881),x9882),x9883))
% 6.38/6.61 [1061]~P26(x10611)+~P11(f10(x10611,a1,f10(x10611,f95(x10611,a1),f122(x10611),f10(x10611,x10611,f10(x10611,f95(x10611,x10611),f113(x10611),x10612),x10613)),f114(x10611)))+P11(f10(x10611,a1,f10(x10611,f95(x10611,a1),f122(x10611),x10612),x10613))
% 6.38/6.61 [1075]P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,x10751,x10752)),f10(a3,a3,x10751,x10753)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10752),x10753))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,x10751,f67(x10752,x10753,x10751))),f10(a3,a3,x10751,f69(x10752,x10753,x10751))))
% 6.38/6.61 [1156]~P11(f10(f95(x11561,a1),a1,f103(x11561),x11562))+~P11(f10(f95(x11561,a1),a1,f10(x11561,f95(f95(x11561,a1),a1),f110(x11561),x11563),x11562))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(f95(x11561,a1),a3,f96(x11561),f10(f95(x11561,a1),f95(x11561,a1),f10(f95(x11561,a1),f95(f95(x11561,a1),f95(x11561,a1)),f113(f95(x11561,a1)),x11562),f10(f95(x11561,a1),f95(x11561,a1),f10(x11561,f95(f95(x11561,a1),f95(x11561,a1)),f111(x11561),x11563),f4(f95(x11561,a1)))))),f10(f95(x11561,a1),a3,f96(x11561),x11562)))
% 6.38/6.61 [783]~P11(f10(f95(x7831,a1),a1,f103(x7831),x7833))+P11(f10(f95(x7831,a1),a1,f103(x7831),x7832))+~P11(f10(f95(x7831,a1),a1,f10(f95(x7831,a1),f95(f95(x7831,a1),a1),f122(f95(x7831,a1)),x7832),x7833))
% 6.38/6.61 [827]~P11(f10(a3,a1,x8271,x8272))+~P11(f10(a3,a1,x8271,f58(x8273,x8271,x8272)))+P11(f10(a3,a1,x8271,f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x8272),x8273)))
% 6.38/6.61 [850]~P11(f10(f95(x8501,a1),a1,f103(x8501),x8503))+E(f10(f95(x8501,a1),a3,f96(x8501),f10(f95(x8501,a1),f95(x8501,a1),f10(x8501,f95(f95(x8501,a1),f95(x8501,a1)),f111(x8501),x8502),x8503)),f10(a3,a3,a125,f10(f95(x8501,a1),a3,f96(x8501),x8503)))+P11(f10(f95(x8501,a1),a1,f10(x8501,f95(f95(x8501,a1),a1),f110(x8501),x8502),x8503))
% 6.38/6.61 [857]E(f10(f95(x8571,a1),f95(x8571,a1),f5(f95(x8571,a1)),x8572),f10(f95(x8571,a1),f95(x8571,a1),f5(f95(x8571,a1)),x8573))+~P11(f10(f95(x8571,a1),a1,f10(f95(x8571,a1),f95(f95(x8571,a1),a1),f122(f95(x8571,a1)),x8572),x8573))+P11(f10(f95(x8571,a1),a1,f10(f95(x8571,a1),f95(f95(x8571,a1),a1),f123(f95(x8571,a1)),x8572),x8573))
% 6.38/6.61 [861]~P11(f10(a3,a1,x8611,x8613))+P11(f10(a3,a1,x8611,f10(a3,a3,a125,f58(x8612,x8611,x8613))))+P11(f10(a3,a1,x8611,f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x8613),x8612)))
% 6.38/6.61 [864]~P11(f10(f95(x8641,a1),a1,f103(x8641),x8643))+E(f10(f95(x8641,a1),a3,f96(x8641),f10(f95(x8641,a1),f95(x8641,a1),f10(x8641,f95(f95(x8641,a1),f95(x8641,a1)),f111(x8641),x8642),x8643)),f10(f95(x8641,a1),a3,f96(x8641),x8643))+~P11(f10(f95(x8641,a1),a1,f10(x8641,f95(f95(x8641,a1),a1),f110(x8641),x8642),x8643))
% 6.38/6.61 [866]~P11(f10(f95(x8661,a1),a1,f103(x8661),x8663))+E(f10(f95(x8661,a1),a3,f96(x8661),f10(f95(x8661,a1),f95(x8661,a1),f10(x8661,f95(f95(x8661,a1),f95(x8661,a1)),f111(x8661),x8662),x8663)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f117(a3)),f10(f95(x8661,a1),a3,f96(x8661),x8663)))+P11(f10(f95(x8661,a1),a1,f10(x8661,f95(f95(x8661,a1),a1),f110(x8661),x8662),x8663))
% 6.38/6.61 [915]E(f10(f95(x9151,a1),f95(x9151,a1),f5(f95(x9151,a1)),x9152),f10(f95(x9151,a1),f95(x9151,a1),f5(f95(x9151,a1)),x9153))+~P11(f10(f95(x9151,a1),a1,f10(f95(x9151,a1),f95(f95(x9151,a1),a1),f122(f95(x9151,a1)),x9152),x9153))+~P11(f10(f95(x9151,a1),a1,f10(f95(x9151,a1),f95(f95(x9151,a1),a1),f122(f95(x9151,a1)),x9153),x9152))
% 6.38/6.61 [954]~P11(f10(f95(x9541,a1),a1,f103(x9541),x9543))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(f95(x9541,a1),a3,f96(x9541),x9542)),f10(f95(x9541,a1),a3,f96(x9541),x9543)))+~P11(f10(f95(x9541,a1),a1,f10(f95(x9541,a1),f95(f95(x9541,a1),a1),f123(f95(x9541,a1)),x9542),x9543))
% 6.38/6.61 [955]~P11(f10(f95(x9551,a1),a1,f103(x9551),x9553))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(f95(x9551,a1),a3,f96(x9551),x9552)),f10(f95(x9551,a1),a3,f96(x9551),x9553)))+~P11(f10(f95(x9551,a1),a1,f10(f95(x9551,a1),f95(f95(x9551,a1),a1),f122(f95(x9551,a1)),x9552),x9553))
% 6.38/6.61 [996]E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9961),x9962)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9963),x9962)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9961),x9963))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9962),x9961))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9962),x9963))
% 6.38/6.61 [1014]E(f10(f95(x10141,a1),f95(x10141,a1),f5(f95(x10141,a1)),x10142),f10(f95(x10141,a1),f95(x10141,a1),f10(x10141,f95(f95(x10141,a1),f95(x10141,a1)),f111(x10141),x10143),f4(f95(x10141,a1))))+E(f10(f95(x10141,a1),f95(x10141,a1),f5(f95(x10141,a1)),x10142),f4(f95(x10141,a1)))+~P11(f10(f95(x10141,a1),a1,f10(f95(x10141,a1),f95(f95(x10141,a1),a1),f122(f95(x10141,a1)),x10142),f10(f95(x10141,a1),f95(x10141,a1),f10(x10141,f95(f95(x10141,a1),f95(x10141,a1)),f111(x10141),x10143),f4(f95(x10141,a1)))))
% 6.38/6.61 [1071]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10713),x10712))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10713),x10711))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10711),x10712)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10711),x10713)))
% 6.38/6.62 [1072]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10721),x10723))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10722),x10721))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10721),x10722)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10723),x10722)))
% 6.38/6.62 [958]~P11(f10(f95(x9581,a1),a1,f103(x9581),x9583))+E(f10(f95(x9581,a1),a3,f96(x9581),f10(f95(x9581,a1),f95(x9581,a1),f10(f95(x9581,a1),f95(f95(x9581,a1),f95(x9581,a1)),f113(f95(x9581,a1)),x9582),x9583)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(f95(x9581,a1),a3,f96(x9581),x9582)),f10(f95(x9581,a1),a3,f96(x9581),x9583)))+~P11(f10(f95(x9581,a1),a1,f10(f95(x9581,a1),f95(f95(x9581,a1),a1),f122(f95(x9581,a1)),x9583),x9582))
% 6.38/6.62 [966]~P11(f10(f95(x9661,a1),a1,f103(x9661),x9663))+P11(f10(f95(x9661,a1),a1,f103(x9661),x9662))+~P11(f10(f95(x9661,a1),a1,f103(x9661),f10(f95(x9661,a1),f95(x9661,a1),f10(f95(x9661,a1),f95(f95(x9661,a1),f95(x9661,a1)),f113(f95(x9661,a1)),x9662),x9663)))
% 6.38/6.62 [971]~P11(f10(f95(x9711,a1),a1,f103(x9711),x9712))+E(f10(f95(x9711,a1),a3,f96(x9711),f10(f95(x9711,a1),f95(x9711,a1),f10(f95(x9711,a1),f95(f95(x9711,a1),f95(x9711,a1)),f113(f95(x9711,a1)),x9712),f10(f95(x9711,a1),f95(x9711,a1),f10(x9711,f95(f95(x9711,a1),f95(x9711,a1)),f111(x9711),x9713),f4(f95(x9711,a1))))),f10(f95(x9711,a1),a3,f96(x9711),x9712))+P11(f10(f95(x9711,a1),a1,f10(x9711,f95(f95(x9711,a1),a1),f110(x9711),x9713),x9712))
% 6.38/6.62 [1025]~P11(f10(f95(x10251,a1),a1,f103(x10251),x10252))+E(f10(f95(x10251,a1),a3,f96(x10251),f10(f95(x10251,a1),f95(x10251,a1),f10(f95(x10251,a1),f95(f95(x10251,a1),f95(x10251,a1)),f113(f95(x10251,a1)),x10252),f10(f95(x10251,a1),f95(x10251,a1),f10(x10251,f95(f95(x10251,a1),f95(x10251,a1)),f111(x10251),x10253),f4(f95(x10251,a1))))),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(f95(x10251,a1),a3,f96(x10251),x10252)),f117(a3)))+~P11(f10(f95(x10251,a1),a1,f10(x10251,f95(f95(x10251,a1),a1),f110(x10251),x10253),x10252))
% 6.38/6.62 [1085]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10852),x10853))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10851),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x10853),x10852)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10851),x10852)),x10853))
% 6.38/6.62 [1107]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11073),x11072))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11071),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x11072),x11073)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x11071),x11073)),x11072))
% 6.38/6.62 [1089]~P11(f10(f95(x10891,a1),a1,f103(x10891),x10892))+~P11(f10(f95(x10891,a1),a1,f10(x10891,f95(f95(x10891,a1),a1),f110(x10891),x10893),x10892))+E(f10(a3,a3,a125,f10(f95(x10891,a1),a3,f96(x10891),f10(f95(x10891,a1),f95(x10891,a1),f10(f95(x10891,a1),f95(f95(x10891,a1),f95(x10891,a1)),f113(f95(x10891,a1)),x10892),f10(f95(x10891,a1),f95(x10891,a1),f10(x10891,f95(f95(x10891,a1),f95(x10891,a1)),f111(x10891),x10893),f4(f95(x10891,a1)))))),f10(f95(x10891,a1),a3,f96(x10891),x10892))
% 6.38/6.62 [1095]~P11(f10(f95(x10951,a1),a1,f103(x10951),x10952))+~P11(f10(f95(x10951,a1),a1,f10(x10951,f95(f95(x10951,a1),a1),f110(x10951),x10953),x10952))+E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f117(a3)),f10(f95(x10951,a1),a3,f96(x10951),f10(f95(x10951,a1),f95(x10951,a1),f10(f95(x10951,a1),f95(f95(x10951,a1),f95(x10951,a1)),f113(f95(x10951,a1)),x10952),f10(f95(x10951,a1),f95(x10951,a1),f10(x10951,f95(f95(x10951,a1),f95(x10951,a1)),f111(x10951),x10953),f4(f95(x10951,a1)))))),f10(f95(x10951,a1),a3,f96(x10951),x10952))
% 6.38/6.62 [1160]~P11(f10(f95(x11601,a1),a1,f103(x11601),f10(f95(x11601,a1),f95(x11601,a1),f7(x11601),x11602)))+~P11(f10(f95(x11601,a1),a1,f103(x11601),f10(f95(x11601,a1),f95(x11601,a1),f7(x11601),x11603)))+P11(f10(f95(x11601,a1),a1,f103(x11601),f10(f95(x11601,a1),f95(x11601,a1),f7(x11601),f10(f95(x11601,a1),f95(x11601,a1),f10(f95(x11601,f95(a1,a1)),f95(f95(x11601,a1),f95(x11601,a1)),f13(x11601,a1,a1),f10(f95(x11601,a1),f95(x11601,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11601,a1),f95(x11601,f95(a1,a1))),f8(a1,f95(a1,a1),x11601),a98),x11602)),x11603))))
% 6.38/6.62 [638]~P4(x6381)+~E(f10(x6381,x6381,f5(x6381),x6383),f10(x6381,x6381,f5(x6381),x6384))+E(f10(x6381,x6381,f10(x6381,f95(x6381,x6381),f124(x6381),x6382),x6383),f10(x6381,x6381,f10(x6381,f95(x6381,x6381),f124(x6381),x6382),x6384))
% 6.38/6.62 [639]~P4(x6391)+~E(f10(x6391,x6391,f5(x6391),x6392),f10(x6391,x6391,f5(x6391),x6394))+E(f10(x6391,x6391,f10(x6391,f95(x6391,x6391),f124(x6391),x6392),x6393),f10(x6391,x6391,f10(x6391,f95(x6391,x6391),f124(x6391),x6394),x6393))
% 6.38/6.62 [662]~E(f10(f95(x6621,a1),f95(x6621,a1),f5(f95(x6621,a1)),x6624),f4(f95(x6621,a1)))+~E(f10(f95(x6622,a1),f95(x6622,a1),f5(f95(x6622,a1)),x6623),f4(f95(x6622,a1)))+E(f10(f95(x6621,a1),f95(f130(x6622,x6621),a1),f10(f95(x6622,a1),f95(f95(x6621,a1),f95(f130(x6622,x6621),a1)),f131(x6622,x6621),x6623),x6624),f4(f95(f130(x6622,x6621),a1)))
% 6.38/6.62 [678]~P4(x6781)+E(f10(x6781,x6781,f5(x6781),x6782),f10(x6781,x6781,f5(x6781),x6783))+~E(f10(x6781,x6781,f10(x6781,f95(x6781,x6781),f124(x6781),x6784),x6782),f10(x6781,x6781,f10(x6781,f95(x6781,x6781),f124(x6781),x6784),x6783))
% 6.38/6.62 [679]~P6(x6791)+E(f10(x6791,x6791,f5(x6791),x6792),f10(x6791,x6791,f5(x6791),x6793))+~E(f10(x6791,x6791,f10(x6791,f95(x6791,x6791),f124(x6791),x6794),x6792),f10(x6791,x6791,f10(x6791,f95(x6791,x6791),f124(x6791),x6794),x6793))
% 6.38/6.62 [681]~P4(x6811)+E(f10(x6811,x6811,f5(x6811),x6812),f10(x6811,x6811,f5(x6811),x6813))+~E(f10(x6811,x6811,f10(x6811,f95(x6811,x6811),f124(x6811),x6812),x6814),f10(x6811,x6811,f10(x6811,f95(x6811,x6811),f124(x6811),x6813),x6814))
% 6.38/6.62 [726]~E(f10(f95(x7261,a1),f95(x7261,a1),f5(f95(x7261,a1)),x7262),f10(f95(x7261,a1),f95(x7261,a1),f10(x7261,f95(f95(x7261,a1),f95(x7261,a1)),f111(x7261),x7263),x7264))+~P11(f10(f95(x7261,a1),a1,f103(x7261),x7264))+P11(f10(f95(x7261,a1),a1,f103(x7261),x7262))
% 6.38/6.62 [771]~E(f10(f95(x7711,a1),f95(x7711,a1),f5(f95(x7711,a1)),x7714),f10(f95(x7711,a1),f95(x7711,a1),f10(x7711,f95(f95(x7711,a1),f95(x7711,a1)),f111(x7711),x7712),x7713))+~E(f10(f95(x7711,a1),f95(x7711,a1),f5(f95(x7711,a1)),x7714),f4(f95(x7711,a1)))+P11(f10(f95(x7711,a1),a1,f10(x7711,f95(f95(x7711,a1),a1),f110(x7711),x7712),x7713))
% 6.38/6.62 [870]~E(f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x8703),x8702),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x8701),x8704))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8703),x8704))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x8701),x8702))
% 6.38/6.62 [839]~P19(x8392)+~P11(f10(f95(x8391,x8392),a1,f10(f95(x8391,x8392),f95(f95(x8391,x8392),a1),f123(f95(x8391,x8392)),x8393),x8394))+P11(f10(f95(x8391,x8392),a1,f10(f95(x8391,x8392),f95(f95(x8391,x8392),a1),f122(f95(x8391,x8392)),x8393),x8394))
% 6.38/6.62 [892]~P19(x8921)+~P11(f10(f95(x8922,x8921),a1,f10(f95(x8922,x8921),f95(f95(x8922,x8921),a1),f122(f95(x8922,x8921)),x8924),x8923))+~P11(f10(f95(x8922,x8921),a1,f10(f95(x8922,x8921),f95(f95(x8922,x8921),a1),f123(f95(x8922,x8921)),x8923),x8924))
% 6.38/6.62 [917]~P11(f10(f95(x9172,a1),a1,f103(x9172),x9174))+~P11(f10(f95(x9171,a1),a1,f103(x9171),x9173))+E(f10(f95(f130(x9171,x9172),a1),a3,f96(f130(x9171,x9172)),f10(f95(x9172,a1),f95(f130(x9171,x9172),a1),f10(f95(x9171,a1),f95(f95(x9172,a1),f95(f130(x9171,x9172),a1)),f131(x9171,x9172),x9173),x9174)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),f10(f95(x9171,a1),a3,f96(x9171),x9173)),f10(f95(x9172,a1),a3,f96(x9172),x9174)))
% 6.38/6.62 [929]~P11(f10(f95(x9291,a1),a1,f10(x9291,f95(f95(x9291,a1),a1),f110(x9291),x9292),x9294))+P11(f10(f95(x9291,a1),a1,f10(x9291,f95(f95(x9291,a1),a1),f110(x9291),x9292),x9293))+~P11(f10(f95(x9291,a1),a1,f10(f95(x9291,a1),f95(f95(x9291,a1),a1),f123(f95(x9291,a1)),x9294),x9293))
% 6.38/6.62 [933]~P11(f10(f95(x9331,a1),a1,f10(x9331,f95(f95(x9331,a1),a1),f110(x9331),x9332),x9334))+P11(f10(f95(x9331,a1),a1,f10(x9331,f95(f95(x9331,a1),a1),f110(x9331),x9332),x9333))+~P11(f10(f95(x9331,a1),a1,f10(f95(x9331,a1),f95(f95(x9331,a1),a1),f122(f95(x9331,a1)),x9334),x9333))
% 6.38/6.62 [937]~P11(f10(f95(x9372,a1),a1,f103(x9372),x9374))+~P11(f10(f95(x9371,a1),a1,f103(x9371),x9373))+P11(f10(f95(f130(x9371,x9372),a1),a1,f103(f130(x9371,x9372)),f10(f95(x9372,a1),f95(f130(x9371,x9372),a1),f10(f95(x9371,a1),f95(f95(x9372,a1),f95(f130(x9371,x9372),a1)),f131(x9371,x9372),x9373),x9374)))
% 6.38/6.62 [939]E(f10(x9391,x9391,f5(x9391),x9392),f10(x9391,x9391,f5(x9391),x9393))+P11(f10(x9391,a1,x9394,x9393))+~P11(f10(x9391,a1,f10(f95(x9391,a1),f95(x9391,a1),f10(x9391,f95(f95(x9391,a1),f95(x9391,a1)),f111(x9391),x9392),x9394),x9393))
% 6.38/6.62 [947]~P11(f10(f95(x9471,a1),a1,f10(f95(x9471,a1),f95(f95(x9471,a1),a1),f123(f95(x9471,a1)),x9472),x9474))+~P11(f10(f95(x9471,a1),a1,f10(f95(x9471,a1),f95(f95(x9471,a1),a1),f123(f95(x9471,a1)),x9474),x9473))+P11(f10(f95(x9471,a1),a1,f10(f95(x9471,a1),f95(f95(x9471,a1),a1),f123(f95(x9471,a1)),x9472),x9473))
% 6.38/6.62 [948]~P11(f10(f95(x9481,a1),a1,f10(f95(x9481,a1),f95(f95(x9481,a1),a1),f122(f95(x9481,a1)),x9482),x9484))+~P11(f10(f95(x9481,a1),a1,f10(f95(x9481,a1),f95(f95(x9481,a1),a1),f123(f95(x9481,a1)),x9484),x9483))+P11(f10(f95(x9481,a1),a1,f10(f95(x9481,a1),f95(f95(x9481,a1),a1),f123(f95(x9481,a1)),x9482),x9483))
% 6.38/6.62 [949]~P11(f10(f95(x9491,a1),a1,f10(f95(x9491,a1),f95(f95(x9491,a1),a1),f122(f95(x9491,a1)),x9494),x9493))+~P11(f10(f95(x9491,a1),a1,f10(f95(x9491,a1),f95(f95(x9491,a1),a1),f123(f95(x9491,a1)),x9492),x9494))+P11(f10(f95(x9491,a1),a1,f10(f95(x9491,a1),f95(f95(x9491,a1),a1),f123(f95(x9491,a1)),x9492),x9493))
% 6.38/6.62 [950]~P11(f10(f95(x9501,a1),a1,f10(f95(x9501,a1),f95(f95(x9501,a1),a1),f122(f95(x9501,a1)),x9502),x9504))+~P11(f10(f95(x9501,a1),a1,f10(f95(x9501,a1),f95(f95(x9501,a1),a1),f122(f95(x9501,a1)),x9504),x9503))+P11(f10(f95(x9501,a1),a1,f10(f95(x9501,a1),f95(f95(x9501,a1),a1),f122(f95(x9501,a1)),x9502),x9503))
% 6.38/6.62 [1011]E(f10(x10111,x10111,f5(x10111),x10112),f10(x10111,x10111,f5(x10111),x10113))+P11(f10(f95(x10111,a1),a1,f10(x10111,f95(f95(x10111,a1),a1),f110(x10111),x10112),x10114))+~P11(f10(f95(x10111,a1),a1,f10(x10111,f95(f95(x10111,a1),a1),f110(x10111),x10112),f10(f95(x10111,a1),f95(x10111,a1),f10(x10111,f95(f95(x10111,a1),f95(x10111,a1)),f111(x10111),x10113),x10114)))
% 6.38/6.62 [1020]P11(f10(f95(x10201,a1),a1,f103(x10201),x10202))+P11(f10(f95(x10201,a1),a1,f10(x10201,f95(f95(x10201,a1),a1),f110(x10201),f49(x10203,x10201,x10204,x10202)),x10202))+~P11(f10(f95(x10203,a1),a1,f103(x10203),f10(f95(x10201,a1),f95(x10203,a1),f10(f95(x10201,x10203),f95(f95(x10201,a1),f95(x10203,a1)),f112(x10201,x10203),x10204),x10202)))
% 6.38/6.62 [1021]~P11(f10(f95(x10211,a1),a1,f10(x10211,f95(f95(x10211,a1),a1),f110(x10211),x10213),x10214))+~P11(f10(f95(x10211,a1),a1,f10(f95(x10211,a1),f95(f95(x10211,a1),a1),f123(f95(x10211,a1)),x10212),x10214))+P11(f10(f95(x10211,a1),a1,f10(f95(x10211,a1),f95(f95(x10211,a1),a1),f123(f95(x10211,a1)),x10212),f10(f95(x10211,a1),f95(x10211,a1),f10(x10211,f95(f95(x10211,a1),f95(x10211,a1)),f111(x10211),x10213),x10214)))
% 6.38/6.62 [1043]P11(f10(f95(x10431,a1),a1,f10(x10431,f95(f95(x10431,a1),a1),f110(x10431),x10432),x10433))+~P11(f10(f95(x10431,a1),a1,f10(f95(x10431,a1),f95(f95(x10431,a1),a1),f122(f95(x10431,a1)),x10433),f10(f95(x10431,a1),f95(x10431,a1),f10(x10431,f95(f95(x10431,a1),f95(x10431,a1)),f111(x10431),x10432),x10434)))+P11(f10(f95(x10431,a1),a1,f10(f95(x10431,a1),f95(f95(x10431,a1),a1),f122(f95(x10431,a1)),x10433),x10434))
% 6.38/6.62 [1045]~P22(x10451)+~P11(f10(x10451,a1,f10(x10451,f95(x10451,a1),f123(x10451),x10453),x10454))+P11(f10(x10451,a1,f10(x10451,f95(x10451,a1),f123(x10451),f10(x10451,x10451,f10(x10451,f95(x10451,x10451),f124(x10451),x10452),x10453)),f10(x10451,x10451,f10(x10451,f95(x10451,x10451),f124(x10451),x10452),x10454)))
% 6.38/6.62 [1046]~P23(x10461)+~P11(f10(x10461,a1,f10(x10461,f95(x10461,a1),f123(x10461),x10463),x10464))+P11(f10(x10461,a1,f10(x10461,f95(x10461,a1),f123(x10461),f10(x10461,x10461,f10(x10461,f95(x10461,x10461),f124(x10461),x10462),x10463)),f10(x10461,x10461,f10(x10461,f95(x10461,x10461),f124(x10461),x10462),x10464)))
% 6.38/6.62 [1047]~P22(x10471)+~P11(f10(x10471,a1,f10(x10471,f95(x10471,a1),f123(x10471),x10472),x10474))+P11(f10(x10471,a1,f10(x10471,f95(x10471,a1),f123(x10471),f10(x10471,x10471,f10(x10471,f95(x10471,x10471),f124(x10471),x10472),x10473)),f10(x10471,x10471,f10(x10471,f95(x10471,x10471),f124(x10471),x10474),x10473)))
% 6.38/6.62 [1048]~P23(x10481)+~P11(f10(x10481,a1,f10(x10481,f95(x10481,a1),f123(x10481),x10482),x10484))+P11(f10(x10481,a1,f10(x10481,f95(x10481,a1),f123(x10481),f10(x10481,x10481,f10(x10481,f95(x10481,x10481),f124(x10481),x10482),x10483)),f10(x10481,x10481,f10(x10481,f95(x10481,x10481),f124(x10481),x10484),x10483)))
% 6.38/6.62 [1049]~P22(x10491)+~P11(f10(x10491,a1,f10(x10491,f95(x10491,a1),f122(x10491),x10493),x10494))+P11(f10(x10491,a1,f10(x10491,f95(x10491,a1),f122(x10491),f10(x10491,x10491,f10(x10491,f95(x10491,x10491),f124(x10491),x10492),x10493)),f10(x10491,x10491,f10(x10491,f95(x10491,x10491),f124(x10491),x10492),x10494)))
% 6.38/6.62 [1050]~P25(x10501)+~P11(f10(x10501,a1,f10(x10501,f95(x10501,a1),f122(x10501),x10503),x10504))+P11(f10(x10501,a1,f10(x10501,f95(x10501,a1),f122(x10501),f10(x10501,x10501,f10(x10501,f95(x10501,x10501),f124(x10501),x10502),x10503)),f10(x10501,x10501,f10(x10501,f95(x10501,x10501),f124(x10501),x10502),x10504)))
% 6.38/6.62 [1051]~P22(x10511)+~P11(f10(x10511,a1,f10(x10511,f95(x10511,a1),f122(x10511),x10512),x10514))+P11(f10(x10511,a1,f10(x10511,f95(x10511,a1),f122(x10511),f10(x10511,x10511,f10(x10511,f95(x10511,x10511),f124(x10511),x10512),x10513)),f10(x10511,x10511,f10(x10511,f95(x10511,x10511),f124(x10511),x10514),x10513)))
% 6.38/6.62 [1052]~P25(x10521)+~P11(f10(x10521,a1,f10(x10521,f95(x10521,a1),f122(x10521),x10522),x10524))+P11(f10(x10521,a1,f10(x10521,f95(x10521,a1),f122(x10521),f10(x10521,x10521,f10(x10521,f95(x10521,x10521),f124(x10521),x10522),x10523)),f10(x10521,x10521,f10(x10521,f95(x10521,x10521),f124(x10521),x10524),x10523)))
% 6.38/6.62 [1066]~P11(f10(f95(x10661,a1),a1,f10(x10661,f95(f95(x10661,a1),a1),f110(x10661),x10664),x10663))+~P11(f10(f95(x10661,a1),a1,f10(f95(x10661,a1),f95(f95(x10661,a1),a1),f123(f95(x10661,a1)),x10662),f10(f95(x10661,a1),f95(x10661,a1),f10(x10661,f95(f95(x10661,a1),f95(x10661,a1)),f111(x10661),x10664),x10663)))+P11(f10(f95(x10661,a1),a1,f10(f95(x10661,a1),f95(f95(x10661,a1),a1),f123(f95(x10661,a1)),x10662),x10663))
% 6.38/6.62 [1073]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10732),x10734))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x10731),x10733))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10731),x10732)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10733),x10734)))
% 6.38/6.62 [1074]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10742),x10744))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x10741),x10743))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10741),x10742)),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x10743),x10744)))
% 6.38/6.62 [1093]~P19(x10932)+~P11(f10(x10932,a1,f10(x10932,f95(x10932,a1),f122(x10932),f10(x10931,x10932,x10933,f21(x10931,x10932,x10933,x10934))),f10(x10931,x10932,x10934,f21(x10931,x10932,x10933,x10934))))+P11(f10(f95(x10931,x10932),a1,f10(f95(x10931,x10932),f95(f95(x10931,x10932),a1),f122(f95(x10931,x10932)),x10933),x10934))
% 6.38/6.62 [1094]~P19(x10942)+~P11(f10(x10942,a1,f10(x10942,f95(x10942,a1),f122(x10942),f10(x10941,x10942,x10943,f39(x10941,x10942,x10943,x10944))),f10(x10941,x10942,x10944,f39(x10941,x10942,x10943,x10944))))+P11(f10(f95(x10941,x10942),a1,f10(f95(x10941,x10942),f95(f95(x10941,x10942),a1),f122(f95(x10941,x10942)),x10943),x10944))
% 6.38/6.62 [1100]~P22(x11001)+P11(f10(x11001,a1,f10(x11001,f95(x11001,a1),f123(x11001),x11002),x11003))+~P11(f10(x11001,a1,f10(x11001,f95(x11001,a1),f123(x11001),f10(x11001,x11001,f10(x11001,f95(x11001,x11001),f124(x11001),x11004),x11002)),f10(x11001,x11001,f10(x11001,f95(x11001,x11001),f124(x11001),x11004),x11003)))
% 6.38/6.62 [1102]~P22(x11021)+P11(f10(x11021,a1,f10(x11021,f95(x11021,a1),f123(x11021),x11022),x11023))+~P11(f10(x11021,a1,f10(x11021,f95(x11021,a1),f123(x11021),f10(x11021,x11021,f10(x11021,f95(x11021,x11021),f124(x11021),x11022),x11024)),f10(x11021,x11021,f10(x11021,f95(x11021,x11021),f124(x11021),x11023),x11024)))
% 6.38/6.62 [1104]~P22(x11041)+P11(f10(x11041,a1,f10(x11041,f95(x11041,a1),f122(x11041),x11042),x11043))+~P11(f10(x11041,a1,f10(x11041,f95(x11041,a1),f122(x11041),f10(x11041,x11041,f10(x11041,f95(x11041,x11041),f124(x11041),x11044),x11042)),f10(x11041,x11041,f10(x11041,f95(x11041,x11041),f124(x11041),x11044),x11043)))
% 6.38/6.62 [1106]~P22(x11061)+P11(f10(x11061,a1,f10(x11061,f95(x11061,a1),f122(x11061),x11062),x11063))+~P11(f10(x11061,a1,f10(x11061,f95(x11061,a1),f122(x11061),f10(x11061,x11061,f10(x11061,f95(x11061,x11061),f124(x11061),x11062),x11064)),f10(x11061,x11061,f10(x11061,f95(x11061,x11061),f124(x11061),x11063),x11064)))
% 6.38/6.62 [986]E(f10(f95(x9861,a1),f95(x9861,a1),f10(f95(x9861,a1),f95(f95(x9861,a1),f95(x9861,a1)),f113(f95(x9861,a1)),x9862),f10(f95(x9861,a1),f95(x9861,a1),f10(f95(x9861,a1),f95(f95(x9861,a1),f95(x9861,a1)),f113(f95(x9861,a1)),x9863),x9864)),f10(f95(x9861,a1),f95(x9861,a1),f5(f95(x9861,a1)),x9864))+~P11(f10(f95(x9861,a1),a1,f10(f95(x9861,a1),f95(f95(x9861,a1),a1),f122(f95(x9861,a1)),x9864),x9862))+~P11(f10(f95(x9861,a1),a1,f10(f95(x9861,a1),f95(f95(x9861,a1),a1),f122(f95(x9861,a1)),x9862),x9863))
% 6.38/6.62 [999]~P11(f10(f95(x9991,a1),a1,f10(x9991,f95(f95(x9991,a1),a1),f110(x9991),x9992),x9994))+P11(f10(f95(x9991,a1),a1,f10(x9991,f95(f95(x9991,a1),a1),f110(x9991),x9992),x9993))+P11(f10(f95(x9991,a1),a1,f10(x9991,f95(f95(x9991,a1),a1),f110(x9991),x9992),f10(f95(x9991,a1),f95(x9991,a1),f10(f95(x9991,a1),f95(f95(x9991,a1),f95(x9991,a1)),f113(f95(x9991,a1)),x9994),x9993)))
% 6.38/6.62 [1080]~P11(f10(f95(x10801,a1),a1,f10(x10801,f95(f95(x10801,a1),a1),f110(x10801),x10802),x10804))+~P11(f10(f95(x10801,a1),a1,f10(f95(x10801,a1),f95(f95(x10801,a1),a1),f122(f95(x10801,a1)),x10803),x10804))+P11(f10(f95(x10801,a1),a1,f10(f95(x10801,a1),f95(f95(x10801,a1),a1),f122(f95(x10801,a1)),f10(f95(x10801,a1),f95(x10801,a1),f10(x10801,f95(f95(x10801,a1),f95(x10801,a1)),f111(x10801),x10802),x10803)),x10804))
% 6.38/6.62 [1140]~P11(f10(f95(x11401,a1),a1,f10(x11401,f95(f95(x11401,a1),a1),f110(x11401),x11403),x11402))+~P11(f10(f95(x11401,a1),a1,f10(f95(x11401,a1),f95(f95(x11401,a1),a1),f122(f95(x11401,a1)),x11402),f10(f95(x11401,a1),f95(x11401,a1),f10(x11401,f95(f95(x11401,a1),f95(x11401,a1)),f111(x11401),x11403),x11404)))+P11(f10(f95(x11401,a1),a1,f10(f95(x11401,a1),f95(f95(x11401,a1),a1),f122(f95(x11401,a1)),f10(f95(x11401,a1),f95(x11401,a1),f10(f95(x11401,a1),f95(f95(x11401,a1),f95(x11401,a1)),f113(f95(x11401,a1)),x11402),f10(f95(x11401,a1),f95(x11401,a1),f10(x11401,f95(f95(x11401,a1),f95(x11401,a1)),f111(x11401),x11403),f4(f95(x11401,a1))))),x11404))
% 6.38/6.62 [1145]~P11(f10(f95(x11451,a1),a1,f10(x11451,f95(f95(x11451,a1),a1),f110(x11451),x11453),x11452))+P11(f10(f95(x11451,a1),a1,f10(f95(x11451,a1),f95(f95(x11451,a1),a1),f122(f95(x11451,a1)),x11452),f10(f95(x11451,a1),f95(x11451,a1),f10(x11451,f95(f95(x11451,a1),f95(x11451,a1)),f111(x11451),x11453),x11454)))+~P11(f10(f95(x11451,a1),a1,f10(f95(x11451,a1),f95(f95(x11451,a1),a1),f122(f95(x11451,a1)),f10(f95(x11451,a1),f95(x11451,a1),f10(f95(x11451,a1),f95(f95(x11451,a1),f95(x11451,a1)),f113(f95(x11451,a1)),x11452),f10(f95(x11451,a1),f95(x11451,a1),f10(x11451,f95(f95(x11451,a1),f95(x11451,a1)),f111(x11451),x11453),f4(f95(x11451,a1))))),x11454))
% 6.38/6.62 [1146]~P11(f10(f95(x11461,a1),a1,f10(x11461,f95(f95(x11461,a1),a1),f110(x11461),x11463),x11462))+P11(f10(f95(x11461,a1),a1,f10(f95(x11461,a1),f95(f95(x11461,a1),a1),f122(f95(x11461,a1)),x11462),f10(f95(x11461,a1),f95(x11461,a1),f10(x11461,f95(f95(x11461,a1),f95(x11461,a1)),f111(x11461),x11463),x11464)))+~P11(f10(f95(x11461,a1),a1,f10(f95(x11461,a1),f95(f95(x11461,a1),a1),f122(f95(x11461,a1)),f10(f95(x11461,a1),f95(x11461,a1),f10(f95(x11461,a1),f95(f95(x11461,a1),f95(x11461,a1)),f113(f95(x11461,a1)),x11462),f10(f95(x11461,a1),f95(x11461,a1),f10(x11461,f95(f95(x11461,a1),f95(x11461,a1)),f111(x11461),x11463),f4(f95(x11461,a1))))),x11464))
% 6.38/6.62 [1147]~P11(f10(f95(x11471,a1),a1,f10(f95(x11471,a1),f95(f95(x11471,a1),a1),f122(f95(x11471,a1)),x11472),x11474))+P11(f10(f95(x11471,a1),a1,f10(f95(x11471,a1),f95(f95(x11471,a1),a1),f122(f95(x11471,a1)),x11472),f10(f95(x11471,a1),f95(x11471,a1),f10(x11471,f95(f95(x11471,a1),f95(x11471,a1)),f111(x11471),x11473),x11474)))+~P11(f10(f95(x11471,a1),a1,f10(f95(x11471,a1),f95(f95(x11471,a1),a1),f122(f95(x11471,a1)),f10(f95(x11471,a1),f95(x11471,a1),f10(f95(x11471,a1),f95(f95(x11471,a1),f95(x11471,a1)),f113(f95(x11471,a1)),x11472),f10(f95(x11471,a1),f95(x11471,a1),f10(x11471,f95(f95(x11471,a1),f95(x11471,a1)),f111(x11471),x11473),f4(f95(x11471,a1))))),x11474))
% 6.38/6.62 [1186]P11(f10(f95(x11861,a1),a1,f103(x11861),x11862))+~P11(f10(f95(x11863,a1),a1,f103(x11863),f10(f95(x11861,a1),f95(x11863,a1),f10(f95(x11861,x11863),f95(f95(x11861,a1),f95(x11863,a1)),f112(x11861,x11863),x11864),x11862)))+~P11(f10(f95(x11861,a1),a1,f103(x11861),f10(f95(x11861,a1),f95(x11861,a1),f7(x11861),f10(f95(x11861,a1),f95(x11861,a1),f10(f95(x11861,f95(a1,a1)),f95(f95(x11861,a1),f95(x11861,a1)),f13(x11861,a1,a1),f10(f95(x11861,a1),f95(x11861,f95(a1,a1)),f10(f95(a1,f95(a1,a1)),f95(f95(x11861,a1),f95(x11861,f95(a1,a1))),f8(a1,f95(a1,a1),x11861),a97),f10(f95(x11861,a1),f95(x11861,a1),f10(f95(x11861,f95(f95(x11861,a1),a1)),f95(f95(x11861,a1),f95(x11861,a1)),f9(x11861,f95(x11861,a1),a1),f110(x11861)),x11862))),f10(x11863,f95(x11861,a1),f10(f95(x11861,f95(x11863,a1)),f95(x11863,f95(x11861,a1)),f9(x11861,x11863,a1),f10(f95(x11861,x11863),f95(x11861,f95(x11863,a1)),f10(f95(x11863,f95(x11863,a1)),f95(f95(x11861,x11863),f95(x11861,f95(x11863,a1))),f8(x11863,f95(x11863,a1),x11861),f100(x11863)),x11864)),f10(x11861,x11863,x11864,f49(x11863,x11861,x11864,x11862)))))))
% 6.38/6.62 [928]~P19(x9281)+P11(f10(x9281,a1,f10(x9281,f95(x9281,a1),f122(x9281),f10(x9282,x9281,x9283,x9284)),f10(x9282,x9281,x9285,x9284)))+~P11(f10(f95(x9282,x9281),a1,f10(f95(x9282,x9281),f95(f95(x9282,x9281),a1),f122(f95(x9282,x9281)),x9283),x9285))
% 6.38/6.62 [934]~E(f10(x9341,x9341,f5(x9341),x9343),f10(x9341,x9341,f5(x9341),x9344))+~E(f10(x9341,x9341,f5(x9341),x9342),f10(x9341,x9341,f5(x9341),x9345))+E(f10(f95(x9341,a1),f95(x9341,a1),f10(x9341,f95(f95(x9341,a1),f95(x9341,a1)),f111(x9341),x9342),f10(f95(x9341,a1),f95(x9341,a1),f10(x9341,f95(f95(x9341,a1),f95(x9341,a1)),f111(x9341),x9343),f4(f95(x9341,a1)))),f10(f95(x9341,a1),f95(x9341,a1),f10(x9341,f95(f95(x9341,a1),f95(x9341,a1)),f111(x9341),x9344),f10(f95(x9341,a1),f95(x9341,a1),f10(x9341,f95(f95(x9341,a1),f95(x9341,a1)),f111(x9341),x9345),f4(f95(x9341,a1)))))
% 6.38/6.62 [935]~E(f10(x9351,x9351,f5(x9351),x9353),f10(x9351,x9351,f5(x9351),x9355))+~E(f10(x9351,x9351,f5(x9351),x9352),f10(x9351,x9351,f5(x9351),x9354))+E(f10(f95(x9351,a1),f95(x9351,a1),f10(x9351,f95(f95(x9351,a1),f95(x9351,a1)),f111(x9351),x9352),f10(f95(x9351,a1),f95(x9351,a1),f10(x9351,f95(f95(x9351,a1),f95(x9351,a1)),f111(x9351),x9353),f4(f95(x9351,a1)))),f10(f95(x9351,a1),f95(x9351,a1),f10(x9351,f95(f95(x9351,a1),f95(x9351,a1)),f111(x9351),x9354),f10(f95(x9351,a1),f95(x9351,a1),f10(x9351,f95(f95(x9351,a1),f95(x9351,a1)),f111(x9351),x9355),f4(f95(x9351,a1)))))
% 6.38/6.62 [992]E(f10(x9921,x9921,f5(x9921),x9922),f10(x9921,x9921,f5(x9921),x9923))+E(f10(x9921,x9921,f5(x9921),x9924),f10(x9921,x9921,f5(x9921),x9922))+~E(f10(f95(x9921,a1),f95(x9921,a1),f10(x9921,f95(f95(x9921,a1),f95(x9921,a1)),f111(x9921),x9922),f10(f95(x9921,a1),f95(x9921,a1),f10(x9921,f95(f95(x9921,a1),f95(x9921,a1)),f111(x9921),x9925),f4(f95(x9921,a1)))),f10(f95(x9921,a1),f95(x9921,a1),f10(x9921,f95(f95(x9921,a1),f95(x9921,a1)),f111(x9921),x9923),f10(f95(x9921,a1),f95(x9921,a1),f10(x9921,f95(f95(x9921,a1),f95(x9921,a1)),f111(x9921),x9924),f4(f95(x9921,a1)))))
% 6.38/6.62 [993]E(f10(x9931,x9931,f5(x9931),x9932),f10(x9931,x9931,f5(x9931),x9933))+E(f10(x9931,x9931,f5(x9931),x9934),f10(x9931,x9931,f5(x9931),x9932))+~E(f10(f95(x9931,a1),f95(x9931,a1),f10(x9931,f95(f95(x9931,a1),f95(x9931,a1)),f111(x9931),x9934),f10(f95(x9931,a1),f95(x9931,a1),f10(x9931,f95(f95(x9931,a1),f95(x9931,a1)),f111(x9931),x9933),f4(f95(x9931,a1)))),f10(f95(x9931,a1),f95(x9931,a1),f10(x9931,f95(f95(x9931,a1),f95(x9931,a1)),f111(x9931),x9935),f10(f95(x9931,a1),f95(x9931,a1),f10(x9931,f95(f95(x9931,a1),f95(x9931,a1)),f111(x9931),x9932),f4(f95(x9931,a1)))))
% 6.38/6.62 [994]E(f10(x9941,x9941,f5(x9941),x9942),f10(x9941,x9941,f5(x9941),x9943))+E(f10(x9941,x9941,f5(x9941),x9942),f10(x9941,x9941,f5(x9941),x9944))+~E(f10(f95(x9941,a1),f95(x9941,a1),f10(x9941,f95(f95(x9941,a1),f95(x9941,a1)),f111(x9941),x9944),f10(f95(x9941,a1),f95(x9941,a1),f10(x9941,f95(f95(x9941,a1),f95(x9941,a1)),f111(x9941),x9943),f4(f95(x9941,a1)))),f10(f95(x9941,a1),f95(x9941,a1),f10(x9941,f95(f95(x9941,a1),f95(x9941,a1)),f111(x9941),x9945),f10(f95(x9941,a1),f95(x9941,a1),f10(x9941,f95(f95(x9941,a1),f95(x9941,a1)),f111(x9941),x9942),f4(f95(x9941,a1)))))
% 6.38/6.62 [995]E(f10(x9951,x9951,f5(x9951),x9952),f10(x9951,x9951,f5(x9951),x9953))+E(f10(x9951,x9951,f5(x9951),x9952),f10(x9951,x9951,f5(x9951),x9954))+~E(f10(f95(x9951,a1),f95(x9951,a1),f10(x9951,f95(f95(x9951,a1),f95(x9951,a1)),f111(x9951),x9952),f10(f95(x9951,a1),f95(x9951,a1),f10(x9951,f95(f95(x9951,a1),f95(x9951,a1)),f111(x9951),x9955),f4(f95(x9951,a1)))),f10(f95(x9951,a1),f95(x9951,a1),f10(x9951,f95(f95(x9951,a1),f95(x9951,a1)),f111(x9951),x9953),f10(f95(x9951,a1),f95(x9951,a1),f10(x9951,f95(f95(x9951,a1),f95(x9951,a1)),f111(x9951),x9954),f4(f95(x9951,a1)))))
% 6.38/6.62 [1013]P11(f10(f95(x10131,a1),a1,f103(x10131),x10132))+~P11(f10(f95(x10133,a1),a1,f103(x10133),x10134))+~P11(f10(f95(x10131,a1),a1,f10(f95(x10131,a1),f95(f95(x10131,a1),a1),f122(f95(x10131,a1)),x10132),f10(f95(x10133,a1),f95(x10131,a1),f10(f95(x10133,x10131),f95(f95(x10133,a1),f95(x10131,a1)),f112(x10133,x10131),x10135),x10134)))
% 6.38/6.62 [1067]E(f10(f95(x10671,a1),f95(x10672,a1),f10(f95(x10671,x10672),f95(f95(x10671,a1),f95(x10672,a1)),f112(x10671,x10672),x10673),f30(x10671,x10672,x10673,x10674,x10675)),f10(f95(x10672,a1),f95(x10672,a1),f5(f95(x10672,a1)),x10675))+~P11(f10(f95(x10672,a1),a1,f103(x10672),x10675))+~P11(f10(f95(x10672,a1),a1,f10(f95(x10672,a1),f95(f95(x10672,a1),a1),f122(f95(x10672,a1)),x10675),f10(f95(x10671,a1),f95(x10672,a1),f10(f95(x10671,x10672),f95(f95(x10671,a1),f95(x10672,a1)),f112(x10671,x10672),x10673),x10674)))
% 6.38/6.62 [1081]~P11(f10(f95(x10812,a1),a1,f103(x10812),x10815))+P11(f10(f95(x10811,a1),a1,f103(x10811),f30(x10811,x10812,x10813,x10814,x10815)))+~P11(f10(f95(x10812,a1),a1,f10(f95(x10812,a1),f95(f95(x10812,a1),a1),f122(f95(x10812,a1)),x10815),f10(f95(x10811,a1),f95(x10812,a1),f10(f95(x10811,x10812),f95(f95(x10811,a1),f95(x10812,a1)),f112(x10811,x10812),x10813),x10814)))
% 6.38/6.62 [1120]~P11(f10(f95(x11202,a1),a1,f103(x11202),x11205))+P11(f10(f95(x11201,a1),a1,f10(f95(x11201,a1),f95(f95(x11201,a1),a1),f122(f95(x11201,a1)),f30(x11201,x11202,x11203,x11204,x11205)),x11204))+~P11(f10(f95(x11202,a1),a1,f10(f95(x11202,a1),f95(f95(x11202,a1),a1),f122(f95(x11202,a1)),x11205),f10(f95(x11201,a1),f95(x11202,a1),f10(f95(x11201,x11202),f95(f95(x11201,a1),f95(x11202,a1)),f112(x11201,x11202),x11203),x11204)))
% 6.38/6.62 [1119]~P11(f10(f95(x11191,a1),a1,f10(f95(x11191,a1),f95(f95(x11191,a1),a1),f122(f95(x11191,a1)),x11192),x11194))+~P11(f10(f95(x11191,a1),a1,f10(f95(x11191,a1),f95(f95(x11191,a1),a1),f122(f95(x11191,a1)),x11195),x11193))+P11(f10(f95(x11191,a1),a1,f10(f95(x11191,a1),f95(f95(x11191,a1),a1),f122(f95(x11191,a1)),f10(f95(x11191,a1),f95(x11191,a1),f10(f95(x11191,a1),f95(f95(x11191,a1),f95(x11191,a1)),f113(f95(x11191,a1)),x11192),x11193)),f10(f95(x11191,a1),f95(x11191,a1),f10(f95(x11191,a1),f95(f95(x11191,a1),f95(x11191,a1)),f113(f95(x11191,a1)),x11194),x11195)))
% 6.38/6.62 [975]~E(f10(x9751,x9751,f5(x9751),x9752),f10(x9753,x9751,x9754,x9756))+~P11(f10(f95(x9753,a1),a1,f10(x9753,f95(f95(x9753,a1),a1),f110(x9753),x9756),x9755))+P11(f10(f95(x9751,a1),a1,f10(x9751,f95(f95(x9751,a1),a1),f110(x9751),x9752),f10(f95(x9753,a1),f95(x9751,a1),f10(f95(x9753,x9751),f95(f95(x9753,a1),f95(x9751,a1)),f112(x9753,x9751),x9754),x9755)))
% 6.38/6.62 [1019]~E(f10(f95(x10191,a1),f95(x10191,a1),f5(f95(x10191,a1)),x10192),f10(f95(x10193,a1),f95(x10191,a1),f10(f95(x10193,x10191),f95(f95(x10193,a1),f95(x10191,a1)),f112(x10193,x10191),x10194),x10196))+~P11(f10(f95(x10193,a1),a1,f10(f95(x10193,a1),f95(f95(x10193,a1),a1),f122(f95(x10193,a1)),x10196),x10195))+P11(f10(f95(x10191,a1),a1,f10(f95(x10191,a1),f95(f95(x10191,a1),a1),f122(f95(x10191,a1)),x10192),f10(f95(x10193,a1),f95(x10191,a1),f10(f95(x10193,x10191),f95(f95(x10193,a1),f95(x10191,a1)),f112(x10193,x10191),x10194),x10195)))
% 6.38/6.62 [1154]~P11(f10(f95(x11543,a1),a1,f103(x11543),x11547))+E(f10(x11541,x11541,f10(x11541,f95(x11541,x11541),x11542,f10(x11543,x11541,x11544,x11545)),f10(f95(x11543,a1),x11541,x11546,f10(f95(x11543,a1),f95(x11543,a1),f10(f95(x11543,a1),f95(f95(x11543,a1),f95(x11543,a1)),f113(f95(x11543,a1)),x11547),f10(f95(x11543,a1),f95(x11543,a1),f10(x11543,f95(f95(x11543,a1),f95(x11543,a1)),f111(x11543),x11545),f4(f95(x11543,a1)))))),f10(f95(x11543,a1),x11541,x11546,f10(f95(x11543,a1),f95(x11543,a1),f10(x11543,f95(f95(x11543,a1),f95(x11543,a1)),f111(x11543),x11545),x11547)))+~P11(f10(f95(f95(x11543,a1),x11541),a1,f10(f95(x11543,x11541),f95(f95(f95(x11543,a1),x11541),a1),f10(x11541,f95(f95(x11543,x11541),f95(f95(f95(x11543,a1),x11541),a1)),f10(f95(x11541,f95(x11541,x11541)),f95(x11541,f95(f95(x11543,x11541),f95(f95(f95(x11543,a1),x11541),a1))),f102(x11541,x11543),x11542),x11548),x11544),x11546))
% 6.38/6.62 [1032]~P24(x10321)+~P11(f10(x10321,a1,f10(x10321,f95(x10321,a1),f122(x10321),x10322),f114(x10321)))+~P11(f10(x10321,a1,f10(x10321,f95(x10321,a1),f122(x10321),x10323),f114(x10321)))+P11(f10(x10321,a1,f10(x10321,f95(x10321,a1),f122(x10321),f10(x10321,x10321,f10(x10321,f95(x10321,x10321),f124(x10321),x10322),x10323)),f114(x10321)))
% 6.38/6.62 [684]~P11(f10(f95(x6841,a1),a1,f103(x6841),x6843))+~P11(f10(f95(x6841,a1),a1,x6842,x6843))+P11(f10(f95(x6841,a1),a1,x6842,f35(x6841,x6842,x6843)))+P11(f10(f95(x6841,a1),a1,x6842,f4(f95(x6841,a1))))
% 6.38/6.62 [686]~P11(f10(f95(x6861,a1),a1,f103(x6861),x6863))+~P11(f10(f95(x6861,a1),a1,x6862,x6863))+P11(f10(f95(x6861,a1),a1,f103(x6861),f35(x6861,x6862,x6863)))+P11(f10(f95(x6861,a1),a1,x6862,f4(f95(x6861,a1))))
% 6.38/6.62 [692]~P11(f10(f95(x6921,a1),a1,f103(x6921),x6923))+P11(f10(f95(x6921,a1),a1,x6922,f26(x6921,x6922,x6923)))+P11(f10(f95(x6921,a1),a1,x6922,x6923))+~P11(f10(f95(x6921,a1),a1,x6922,f4(f95(x6921,a1))))
% 6.38/6.62 [700]~P11(f10(f95(x7001,a1),a1,f103(x7001),x7003))+P11(f10(f95(x7001,a1),a1,f103(x7001),f26(x7001,x7002,x7003)))+P11(f10(f95(x7001,a1),a1,x7002,x7003))+~P11(f10(f95(x7001,a1),a1,x7002,f4(f95(x7001,a1))))
% 6.38/6.62 [736]~P10(x7361)+E(f10(x7361,x7361,f5(x7361),x7362),f10(x7361,x7361,f5(x7361),x7363))+P11(f10(x7361,a1,f10(x7361,f95(x7361,a1),f123(x7361),x7362),x7363))+P11(f10(x7361,a1,f10(x7361,f95(x7361,a1),f123(x7361),x7363),x7362))
% 6.38/6.62 [737]~P15(x7371)+E(f10(x7371,x7371,f5(x7371),x7372),f10(x7371,x7371,f5(x7371),x7373))+P11(f10(x7371,a1,f10(x7371,f95(x7371,a1),f123(x7371),x7372),x7373))+P11(f10(x7371,a1,f10(x7371,f95(x7371,a1),f123(x7371),x7373),x7372))
% 6.38/6.62 [744]~P10(x7441)+~E(f10(x7441,x7441,f5(x7441),x7442),f10(x7441,x7441,f5(x7441),x7443))+P11(f10(x7441,a1,f10(x7441,f95(x7441,a1),f122(x7441),x7442),x7443))+P11(f10(x7441,a1,f10(x7441,f95(x7441,a1),f123(x7441),x7442),x7443))
% 6.38/6.62 [772]~P20(x7721)+E(f10(x7721,x7721,f5(x7721),x7722),f10(x7721,x7721,f5(x7721),x7723))+~P11(f10(x7721,a1,f10(x7721,f95(x7721,a1),f122(x7721),x7723),x7722))+P11(f10(x7721,a1,f10(x7721,f95(x7721,a1),f123(x7721),x7723),x7722))
% 6.38/6.62 [778]~P20(x7781)+E(f10(x7781,x7781,f5(x7781),x7782),f10(x7781,x7781,f5(x7781),x7783))+~P11(f10(x7781,a1,f10(x7781,f95(x7781,a1),f122(x7781),x7782),x7783))+P11(f10(x7781,a1,f10(x7781,f95(x7781,a1),f123(x7781),x7782),x7783))
% 6.38/6.62 [780]~P10(x7801)+E(f10(x7801,x7801,f5(x7801),x7802),f10(x7801,x7801,f5(x7801),x7803))+~P11(f10(x7801,a1,f10(x7801,f95(x7801,a1),f122(x7801),x7802),x7803))+P11(f10(x7801,a1,f10(x7801,f95(x7801,a1),f123(x7801),x7802),x7803))
% 6.38/6.62 [787]~P11(f10(f95(x7871,a1),a1,f103(x7871),x7873))+~P11(f10(f95(x7871,a1),a1,x7872,x7873))+P11(f10(f95(x7871,a1),a1,f10(x7871,f95(f95(x7871,a1),a1),f110(x7871),f36(x7871,x7872,x7873)),f35(x7871,x7872,x7873)))+P11(f10(f95(x7871,a1),a1,x7872,f4(f95(x7871,a1))))
% 6.38/6.62 [788]P11(f10(a3,a1,x7881,x7882))+~P11(f10(a3,a1,x7881,x7883))+~P11(f10(a3,a1,x7881,f57(x7881,x7882,x7883)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x7882),x7883))
% 6.38/6.62 [831]~P20(x8311)+E(f10(x8311,x8311,f5(x8311),x8312),f10(x8311,x8311,f5(x8311),x8313))+~P11(f10(x8311,a1,f10(x8311,f95(x8311,a1),f122(x8311),x8312),x8313))+~P11(f10(x8311,a1,f10(x8311,f95(x8311,a1),f122(x8311),x8313),x8312))
% 6.38/6.62 [840]~P11(f10(a3,a1,x8401,x8403))+P11(f10(a3,a1,x8401,x8402))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8402),x8403))+P11(f10(a3,a1,x8401,f10(a3,a3,a125,f57(x8401,x8402,x8403))))
% 6.38/6.62 [842]~P21(x8421)+~P11(f10(x8421,a1,f10(x8421,f95(x8421,a1),f122(x8421),x8422),x8423))+P11(f10(x8421,a1,f10(x8421,f95(x8421,a1),f122(x8421),x8423),x8422))+P11(f10(x8421,a1,f10(x8421,f95(x8421,a1),f123(x8421),x8422),x8423))
% 6.38/6.62 [843]~P11(f10(a3,a1,x8431,x8433))+P11(f10(a3,a1,x8431,x8432))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x8432),x8433))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f57(x8431,x8432,x8433)),x8433))
% 6.38/6.62 [863]~P11(f10(f95(x8631,a1),a1,f10(x8631,f95(f95(x8631,a1),a1),f110(x8631),f27(x8631,x8632,x8633)),f26(x8631,x8632,x8633)))+~P11(f10(f95(x8631,a1),a1,f103(x8631),x8633))+P11(f10(f95(x8631,a1),a1,x8632,x8633))+~P11(f10(f95(x8631,a1),a1,x8632,f4(f95(x8631,a1))))
% 6.38/6.62 [918]E(x9181,x9182)+~E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9181),x9183),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x9182),x9183))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9183),x9181))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x9183),x9182))
% 6.38/6.62 [1012]~P11(f10(f95(x10121,a1),a1,f103(x10121),x10123))+P11(f10(f95(x10121,a1),a1,x10122,x10123))+~P11(f10(f95(x10121,a1),a1,x10122,f10(f95(x10121,a1),f95(x10121,a1),f10(x10121,f95(f95(x10121,a1),f95(x10121,a1)),f111(x10121),f27(x10121,x10122,x10123)),f26(x10121,x10122,x10123))))+~P11(f10(f95(x10121,a1),a1,x10122,f4(f95(x10121,a1))))
% 6.38/6.62 [1022]E(f10(f95(x10221,a1),f95(x10221,a1),f5(f95(x10221,a1)),x10222),f10(f95(x10221,a1),f95(x10221,a1),f5(f95(x10221,a1)),x10223))+~P11(f10(f95(x10221,a1),a1,f103(x10221),x10222))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(f95(x10221,a1),a3,f96(x10221),x10222)),f10(f95(x10221,a1),a3,f96(x10221),x10223)))+~P11(f10(f95(x10221,a1),a1,f10(f95(x10221,a1),f95(f95(x10221,a1),a1),f122(f95(x10221,a1)),x10223),x10222))
% 6.38/6.62 [1059]~P11(f10(f95(x10591,a1),a1,f103(x10591),x10593))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(f95(x10591,a1),a3,f96(x10591),x10592)),f10(f95(x10591,a1),a3,f96(x10591),x10593)))+~P11(f10(f95(x10591,a1),a1,f10(f95(x10591,a1),f95(f95(x10591,a1),a1),f122(f95(x10591,a1)),x10592),x10593))+P11(f10(f95(x10591,a1),a1,f10(f95(x10591,a1),f95(f95(x10591,a1),a1),f123(f95(x10591,a1)),x10592),x10593))
% 6.38/6.62 [1122]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11223),x11221))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x11221),x11222))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11223),x11222))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x11221),x11223)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x11222),x11223)))
% 6.38/6.62 [1123]~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11233),x11231))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11231),x11232))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11233),x11232))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x11231),x11233)),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x11232),x11233)))
% 6.38/6.62 [1131]~P11(f10(f95(x11311,a1),a1,f103(x11311),x11313))+~P11(f10(f95(x11311,a1),a1,x11312,x11313))+P11(f10(f95(x11311,a1),a1,x11312,f4(f95(x11311,a1))))+~P11(f10(f95(x11311,a1),a1,x11312,f10(f95(x11311,a1),f95(x11311,a1),f10(f95(x11311,a1),f95(f95(x11311,a1),f95(x11311,a1)),f113(f95(x11311,a1)),f35(x11311,x11312,x11313)),f10(f95(x11311,a1),f95(x11311,a1),f10(x11311,f95(f95(x11311,a1),f95(x11311,a1)),f111(x11311),f36(x11311,x11312,x11313)),f4(f95(x11311,a1))))))
% 6.38/6.62 [725]E(f10(f95(x7251,a1),x7251,f129(x7251),x7252),f10(x7251,x7251,f5(x7251),x7253))+~P11(f10(x7251,a1,x7252,x7254))+~P11(f10(x7251,a1,x7252,x7253))+P11(f10(x7251,a1,x7252,f53(x7251,x7253,x7252,x7254)))
% 6.38/6.62 [728]~E(f10(x7281,x7281,f5(x7281),f53(x7281,x7283,x7282,x7284)),f10(x7281,x7281,f5(x7281),x7284))+E(f10(f95(x7281,a1),x7281,f129(x7281),x7282),f10(x7281,x7281,f5(x7281),x7283))+~P11(f10(x7281,a1,x7282,x7284))+~P11(f10(x7281,a1,x7282,x7283))
% 6.38/6.62 [790]~P20(x7901)+~E(f10(x7901,x7901,f5(x7901),x7904),f10(x7901,x7901,f5(x7901),x7902))+~P11(f10(x7901,a1,f10(x7901,f95(x7901,a1),f123(x7901),x7904),x7903))+P11(f10(x7901,a1,f10(x7901,f95(x7901,a1),f123(x7901),x7902),x7903))
% 6.38/6.62 [791]~P20(x7911)+~E(f10(x7911,x7911,f5(x7911),x7913),f10(x7911,x7911,f5(x7911),x7914))+~P11(f10(x7911,a1,f10(x7911,f95(x7911,a1),f123(x7911),x7912),x7914))+P11(f10(x7911,a1,f10(x7911,f95(x7911,a1),f123(x7911),x7912),x7913))
% 6.38/6.62 [793]~P20(x7931)+~E(f10(x7931,x7931,f5(x7931),x7934),f10(x7931,x7931,f5(x7931),x7932))+~P11(f10(x7931,a1,f10(x7931,f95(x7931,a1),f122(x7931),x7934),x7933))+P11(f10(x7931,a1,f10(x7931,f95(x7931,a1),f122(x7931),x7932),x7933))
% 6.38/6.62 [794]~P20(x7941)+~E(f10(x7941,x7941,f5(x7941),x7943),f10(x7941,x7941,f5(x7941),x7944))+~P11(f10(x7941,a1,f10(x7941,f95(x7941,a1),f122(x7941),x7942),x7944))+P11(f10(x7941,a1,f10(x7941,f95(x7941,a1),f122(x7941),x7942),x7943))
% 6.38/6.62 [872]~P20(x8721)+~P11(f10(x8721,a1,f10(x8721,f95(x8721,a1),f123(x8721),x8724),x8723))+~P11(f10(x8721,a1,f10(x8721,f95(x8721,a1),f123(x8721),x8722),x8724))+P11(f10(x8721,a1,f10(x8721,f95(x8721,a1),f123(x8721),x8722),x8723))
% 6.38/6.62 [873]~P20(x8731)+~P11(f10(x8731,a1,f10(x8731,f95(x8731,a1),f122(x8731),x8734),x8733))+~P11(f10(x8731,a1,f10(x8731,f95(x8731,a1),f123(x8731),x8732),x8734))+P11(f10(x8731,a1,f10(x8731,f95(x8731,a1),f123(x8731),x8732),x8733))
% 6.38/6.62 [874]~P20(x8741)+~P11(f10(x8741,a1,f10(x8741,f95(x8741,a1),f122(x8741),x8742),x8744))+~P11(f10(x8741,a1,f10(x8741,f95(x8741,a1),f123(x8741),x8744),x8743))+P11(f10(x8741,a1,f10(x8741,f95(x8741,a1),f123(x8741),x8742),x8743))
% 6.38/6.62 [875]~P21(x8751)+~P11(f10(x8751,a1,f10(x8751,f95(x8751,a1),f123(x8751),x8752),x8754))+~P11(f10(x8751,a1,f10(x8751,f95(x8751,a1),f123(x8751),x8754),x8753))+P11(f10(x8751,a1,f10(x8751,f95(x8751,a1),f123(x8751),x8752),x8753))
% 6.38/6.62 [876]~P21(x8761)+~P11(f10(x8761,a1,f10(x8761,f95(x8761,a1),f122(x8761),x8762),x8764))+~P11(f10(x8761,a1,f10(x8761,f95(x8761,a1),f123(x8761),x8764),x8763))+P11(f10(x8761,a1,f10(x8761,f95(x8761,a1),f123(x8761),x8762),x8763))
% 6.38/6.62 [877]~P21(x8771)+~P11(f10(x8771,a1,f10(x8771,f95(x8771,a1),f122(x8771),x8774),x8773))+~P11(f10(x8771,a1,f10(x8771,f95(x8771,a1),f123(x8771),x8772),x8774))+P11(f10(x8771,a1,f10(x8771,f95(x8771,a1),f123(x8771),x8772),x8773))
% 6.38/6.62 [878]~P20(x8781)+~P11(f10(x8781,a1,f10(x8781,f95(x8781,a1),f122(x8781),x8784),x8783))+~P11(f10(x8781,a1,f10(x8781,f95(x8781,a1),f122(x8781),x8782),x8784))+P11(f10(x8781,a1,f10(x8781,f95(x8781,a1),f122(x8781),x8782),x8783))
% 6.38/6.62 [879]~P21(x8791)+~P11(f10(x8791,a1,f10(x8791,f95(x8791,a1),f122(x8791),x8792),x8794))+~P11(f10(x8791,a1,f10(x8791,f95(x8791,a1),f122(x8791),x8794),x8793))+P11(f10(x8791,a1,f10(x8791,f95(x8791,a1),f122(x8791),x8792),x8793))
% 6.38/6.62 [886]~P9(x8861)+P11(f10(x8861,a1,f10(x8861,f95(x8861,a1),f123(x8861),x8864),f75(x8861,x8863,x8864,x8862)))+~P11(f10(x8861,a1,f10(x8861,f95(x8861,a1),f123(x8861),x8864),x8862))+P11(f10(x8861,a1,f10(x8861,f95(x8861,a1),f122(x8861),x8862),x8863))
% 6.38/6.62 [890]~E(f10(f95(x8901,a1),f95(x8901,a1),f5(f95(x8901,a1)),x8903),f10(f95(x8901,a1),f95(x8901,a1),f5(f95(x8901,a1)),x8904))+E(f10(f95(x8901,a1),f95(x8901,a1),f10(x8901,f95(f95(x8901,a1),f95(x8901,a1)),f111(x8901),x8902),x8903),f10(f95(x8901,a1),f95(x8901,a1),f10(x8901,f95(f95(x8901,a1),f95(x8901,a1)),f111(x8901),x8902),x8904))+P11(f10(f95(x8901,a1),a1,f10(x8901,f95(f95(x8901,a1),a1),f110(x8901),x8902),x8903))+P11(f10(f95(x8901,a1),a1,f10(x8901,f95(f95(x8901,a1),a1),f110(x8901),x8902),x8904))
% 6.38/6.62 [920]~E(f10(f95(x9201,a1),f95(x9201,a1),f10(x9201,f95(f95(x9201,a1),f95(x9201,a1)),f111(x9201),x9204),x9202),f10(f95(x9201,a1),f95(x9201,a1),f10(x9201,f95(f95(x9201,a1),f95(x9201,a1)),f111(x9201),x9204),x9203))+E(f10(f95(x9201,a1),f95(x9201,a1),f5(f95(x9201,a1)),x9202),f10(f95(x9201,a1),f95(x9201,a1),f5(f95(x9201,a1)),x9203))+P11(f10(f95(x9201,a1),a1,f10(x9201,f95(f95(x9201,a1),a1),f110(x9201),x9204),x9202))+P11(f10(f95(x9201,a1),a1,f10(x9201,f95(f95(x9201,a1),a1),f110(x9201),x9204),x9203))
% 6.38/6.62 [921]~P9(x9211)+~P11(f10(x9211,a1,f10(x9211,f95(x9211,a1),f123(x9211),x9214),x9212))+P11(f10(x9211,a1,f10(x9211,f95(x9211,a1),f123(x9211),f75(x9211,x9213,x9214,x9212)),x9212))+P11(f10(x9211,a1,f10(x9211,f95(x9211,a1),f122(x9211),x9212),x9213))
% 6.38/6.62 [967]~P9(x9671)+~P11(f10(x9671,a1,f10(x9671,f95(x9671,a1),f122(x9671),f75(x9671,x9673,x9674,x9672)),x9673))+~P11(f10(x9671,a1,f10(x9671,f95(x9671,a1),f123(x9671),x9674),x9672))+P11(f10(x9671,a1,f10(x9671,f95(x9671,a1),f122(x9671),x9672),x9673))
% 6.38/6.62 [1184]~P11(f10(f95(x11841,a1),a1,f103(x11841),x11842))+~P11(f10(f95(x11841,a1),a1,f10(x11841,f95(f95(x11841,a1),a1),f110(x11841),x11843),x11842))+~P11(f10(f95(x11841,a1),a1,f10(x11841,f95(f95(x11841,a1),a1),f110(x11841),x11844),x11842))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(f95(x11841,a1),a3,f96(x11841),f10(f95(x11841,a1),f95(x11841,a1),f10(f95(x11841,a1),f95(f95(x11841,a1),f95(x11841,a1)),f113(f95(x11841,a1)),f10(f95(x11841,a1),f95(x11841,a1),f10(f95(x11841,a1),f95(f95(x11841,a1),f95(x11841,a1)),f113(f95(x11841,a1)),x11842),f10(f95(x11841,a1),f95(x11841,a1),f10(x11841,f95(f95(x11841,a1),f95(x11841,a1)),f111(x11841),x11843),f4(f95(x11841,a1))))),f10(f95(x11841,a1),f95(x11841,a1),f10(x11841,f95(f95(x11841,a1),f95(x11841,a1)),f111(x11841),x11844),f4(f95(x11841,a1)))))),f10(f95(x11841,a1),a3,f96(x11841),x11842)))
% 6.38/6.62 [922]~P19(x9222)+~P11(f10(f95(x9221,x9222),a1,f10(f95(x9221,x9222),f95(f95(x9221,x9222),a1),f122(f95(x9221,x9222)),x9223),x9224))+P11(f10(f95(x9221,x9222),a1,f10(f95(x9221,x9222),f95(f95(x9221,x9222),a1),f122(f95(x9221,x9222)),x9224),x9223))+P11(f10(f95(x9221,x9222),a1,f10(f95(x9221,x9222),f95(f95(x9221,x9222),a1),f123(f95(x9221,x9222)),x9223),x9224))
% 6.38/6.62 [968]~P14(x9681)+~P11(f10(x9681,a1,f10(x9681,f95(x9681,a1),f123(x9681),f114(x9681)),x9683))+~P11(f10(x9681,a1,f10(x9681,f95(x9681,a1),f123(x9681),x9682),x9684))+P11(f10(x9681,a1,f10(x9681,f95(x9681,a1),f123(x9681),x9682),f10(x9681,x9681,f10(x9681,f95(x9681,x9681),f124(x9681),x9683),x9684)))
% 6.38/6.62 [969]~P24(x9691)+~P11(f10(x9691,a1,f10(x9691,f95(x9691,a1),f122(x9691),f114(x9691)),x9694))+~P11(f10(x9691,a1,f10(x9691,f95(x9691,a1),f122(x9691),x9692),x9693))+P11(f10(x9691,a1,f10(x9691,f95(x9691,a1),f122(x9691),x9692),f10(x9691,x9691,f10(x9691,f95(x9691,x9691),f124(x9691),x9693),x9694)))
% 6.38/6.62 [970]~P24(x9701)+~P11(f10(x9701,a1,f10(x9701,f95(x9701,a1),f122(x9701),f114(x9701)),x9703))+~P11(f10(x9701,a1,f10(x9701,f95(x9701,a1),f122(x9701),x9702),x9704))+P11(f10(x9701,a1,f10(x9701,f95(x9701,a1),f122(x9701),x9702),f10(x9701,x9701,f10(x9701,f95(x9701,x9701),f124(x9701),x9703),x9704)))
% 6.38/6.62 [1033]P11(f10(f95(x10331,a1),a1,f10(x10331,f95(f95(x10331,a1),a1),f110(x10331),x10332),x10334))+P11(f10(f95(x10331,a1),a1,f10(x10331,f95(f95(x10331,a1),a1),f110(x10331),x10332),x10333))+~P11(f10(f95(x10331,a1),a1,f10(f95(x10331,a1),f95(f95(x10331,a1),a1),f122(f95(x10331,a1)),x10334),x10333))+P11(f10(f95(x10331,a1),a1,f10(f95(x10331,a1),f95(f95(x10331,a1),a1),f123(f95(x10331,a1)),x10334),f10(f95(x10331,a1),f95(x10331,a1),f10(x10331,f95(f95(x10331,a1),f95(x10331,a1)),f111(x10331),x10332),x10333)))
% 6.38/6.62 [1064]P11(f10(f95(x10641,a1),a1,f10(x10641,f95(f95(x10641,a1),a1),f110(x10641),x10642),x10643))+~P11(f10(f95(x10641,a1),a1,f10(f95(x10641,a1),f95(f95(x10641,a1),a1),f122(f95(x10641,a1)),x10643),x10644))+~P11(f10(f95(x10641,a1),a1,f10(f95(x10641,a1),f95(f95(x10641,a1),a1),f123(f95(x10641,a1)),x10643),x10644))+P11(f10(f95(x10641,a1),a1,f10(f95(x10641,a1),f95(f95(x10641,a1),a1),f123(f95(x10641,a1)),x10643),f10(f95(x10641,a1),f95(x10641,a1),f10(x10641,f95(f95(x10641,a1),f95(x10641,a1)),f111(x10641),x10642),x10644)))
% 6.38/6.62 [1070]P11(f10(f95(x10701,a1),a1,f10(x10701,f95(f95(x10701,a1),a1),f110(x10701),x10702),x10704))+P11(f10(f95(x10701,a1),a1,f10(x10701,f95(f95(x10701,a1),a1),f110(x10701),x10702),x10703))+~P11(f10(f95(x10701,a1),a1,f10(f95(x10701,a1),f95(f95(x10701,a1),a1),f123(f95(x10701,a1)),x10704),f10(f95(x10701,a1),f95(x10701,a1),f10(x10701,f95(f95(x10701,a1),f95(x10701,a1)),f111(x10701),x10702),x10703)))+P11(f10(f95(x10701,a1),a1,f10(f95(x10701,a1),f95(f95(x10701,a1),a1),f122(f95(x10701,a1)),x10704),x10703))
% 6.38/6.62 [1132]~P20(x11321)+P11(f10(x11321,a1,f10(x11321,f95(x11321,a1),f123(x11321),f10(a3,x11321,x11322,x11323)),f10(a3,x11321,x11322,x11324)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x11323),x11324))+~P11(f10(x11321,a1,f10(x11321,f95(x11321,a1),f123(x11321),f10(a3,x11321,x11322,f63(x11321,x11323,x11324,x11322))),f10(a3,x11321,x11322,f10(a3,a3,a125,f63(x11321,x11323,x11324,x11322)))))
% 6.38/6.62 [1133]~P20(x11331)+P11(f10(x11331,a1,f10(x11331,f95(x11331,a1),f123(x11331),f10(a3,x11331,x11332,x11333)),f10(a3,x11331,x11332,x11334)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x11333),x11334))+~P11(f10(x11331,a1,f10(x11331,f95(x11331,a1),f123(x11331),f10(a3,x11331,x11332,f64(x11331,x11333,x11334,x11332))),f10(a3,x11331,x11332,f10(a3,a3,a125,f64(x11331,x11333,x11334,x11332)))))
% 6.38/6.62 [1134]~P20(x11341)+P11(f10(x11341,a1,f10(x11341,f95(x11341,a1),f122(x11341),f10(a3,x11341,x11342,x11343)),f10(a3,x11341,x11342,x11344)))+~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x11343),x11344))+~P11(f10(x11341,a1,f10(x11341,f95(x11341,a1),f122(x11341),f10(a3,x11341,x11342,f40(x11341,x11343,x11344,x11342))),f10(a3,x11341,x11342,f10(a3,a3,a125,f40(x11341,x11343,x11344,x11342)))))
% 6.38/6.62 [1135]~P20(x11353)+~P11(f10(x11353,a1,f10(x11353,f95(x11353,a1),f123(x11353),f10(a3,x11353,x11354,x11351)),f10(a3,x11353,x11354,x11352)))+P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x11351),x11352))+~P11(f10(x11353,a1,f10(x11353,f95(x11353,a1),f123(x11353),f10(a3,x11353,x11354,f63(x11353,x11351,x11352,x11354))),f10(a3,x11353,x11354,f10(a3,a3,a125,f63(x11353,x11351,x11352,x11354)))))
% 6.38/6.62 [1121]~P11(f10(f95(x11211,a1),a1,f103(x11211),x11212))+E(f10(f95(x11211,a1),a3,f96(x11211),f10(f95(x11211,a1),f95(x11211,a1),f10(f95(x11211,a1),f95(f95(x11211,a1),f95(x11211,a1)),f113(f95(x11211,a1)),x11212),f10(f95(x11211,a1),f95(x11211,a1),f10(x11211,f95(f95(x11211,a1),f95(x11211,a1)),f111(x11211),x11213),x11214))),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f10(f95(x11211,a1),a3,f96(x11211),f10(f95(x11211,a1),f95(x11211,a1),f10(f95(x11211,a1),f95(f95(x11211,a1),f95(x11211,a1)),f113(f95(x11211,a1)),x11212),x11214))),f117(a3)))+~P11(f10(f95(x11211,a1),a1,f10(x11211,f95(f95(x11211,a1),a1),f110(x11211),x11213),x11212))+P11(f10(f95(x11211,a1),a1,f10(x11211,f95(f95(x11211,a1),a1),f110(x11211),x11213),x11214))
% 6.38/6.62 [1142]~P11(f10(f95(x11421,a1),a1,f10(x11421,f95(f95(x11421,a1),a1),f110(x11421),x11422),x11424))+P11(f10(f95(x11421,a1),a1,f10(x11421,f95(f95(x11421,a1),a1),f110(x11421),x11422),x11423))+~P11(f10(f95(x11421,a1),a1,f10(f95(x11421,a1),f95(f95(x11421,a1),a1),f123(f95(x11421,a1)),x11424),f10(f95(x11421,a1),f95(x11421,a1),f10(x11421,f95(f95(x11421,a1),f95(x11421,a1)),f111(x11421),x11422),x11423)))+P11(f10(f95(x11421,a1),a1,f10(f95(x11421,a1),f95(f95(x11421,a1),a1),f123(f95(x11421,a1)),f10(f95(x11421,a1),f95(x11421,a1),f10(f95(x11421,a1),f95(f95(x11421,a1),f95(x11421,a1)),f113(f95(x11421,a1)),x11424),f10(f95(x11421,a1),f95(x11421,a1),f10(x11421,f95(f95(x11421,a1),f95(x11421,a1)),f111(x11421),x11422),f4(f95(x11421,a1))))),x11423))
% 6.38/6.62 [1148]~P11(f10(f95(x11481,a1),a1,f10(x11481,f95(f95(x11481,a1),a1),f110(x11481),x11482),x11484))+P11(f10(f95(x11481,a1),a1,f10(x11481,f95(f95(x11481,a1),a1),f110(x11481),x11482),x11483))+P11(f10(f95(x11481,a1),a1,f10(f95(x11481,a1),f95(f95(x11481,a1),a1),f123(f95(x11481,a1)),x11484),f10(f95(x11481,a1),f95(x11481,a1),f10(x11481,f95(f95(x11481,a1),f95(x11481,a1)),f111(x11481),x11482),x11483)))+~P11(f10(f95(x11481,a1),a1,f10(f95(x11481,a1),f95(f95(x11481,a1),a1),f123(f95(x11481,a1)),f10(f95(x11481,a1),f95(x11481,a1),f10(f95(x11481,a1),f95(f95(x11481,a1),f95(x11481,a1)),f113(f95(x11481,a1)),x11484),f10(f95(x11481,a1),f95(x11481,a1),f10(x11481,f95(f95(x11481,a1),f95(x11481,a1)),f111(x11481),x11482),f4(f95(x11481,a1))))),x11483))
% 6.38/6.62 [1149]P11(f10(f95(x11491,a1),a1,f10(x11491,f95(f95(x11491,a1),a1),f110(x11491),x11492),x11493))+~P11(f10(f95(x11491,a1),a1,f10(f95(x11491,a1),f95(f95(x11491,a1),a1),f122(f95(x11491,a1)),x11494),x11493))+P11(f10(f95(x11491,a1),a1,f10(f95(x11491,a1),f95(f95(x11491,a1),a1),f123(f95(x11491,a1)),x11494),f10(f95(x11491,a1),f95(x11491,a1),f10(x11491,f95(f95(x11491,a1),f95(x11491,a1)),f111(x11491),x11492),x11493)))+~P11(f10(f95(x11491,a1),a1,f10(f95(x11491,a1),f95(f95(x11491,a1),a1),f123(f95(x11491,a1)),f10(f95(x11491,a1),f95(x11491,a1),f10(f95(x11491,a1),f95(f95(x11491,a1),f95(x11491,a1)),f113(f95(x11491,a1)),x11494),f10(f95(x11491,a1),f95(x11491,a1),f10(x11491,f95(f95(x11491,a1),f95(x11491,a1)),f111(x11491),x11492),f4(f95(x11491,a1))))),x11493))
% 6.38/6.62 [1150]~P11(f10(f95(x11501,a1),a1,f10(x11501,f95(f95(x11501,a1),a1),f110(x11501),x11503),x11502))+~P11(f10(f95(x11501,a1),a1,f10(f95(x11501,a1),f95(f95(x11501,a1),a1),f123(f95(x11501,a1)),x11502),x11504))+P11(f10(f95(x11501,a1),a1,f10(f95(x11501,a1),f95(f95(x11501,a1),a1),f123(f95(x11501,a1)),x11502),f10(f95(x11501,a1),f95(x11501,a1),f10(x11501,f95(f95(x11501,a1),f95(x11501,a1)),f111(x11501),x11503),x11504)))+~P11(f10(f95(x11501,a1),a1,f10(f95(x11501,a1),f95(f95(x11501,a1),a1),f123(f95(x11501,a1)),f10(f95(x11501,a1),f95(x11501,a1),f10(f95(x11501,a1),f95(f95(x11501,a1),f95(x11501,a1)),f113(f95(x11501,a1)),x11502),f10(f95(x11501,a1),f95(x11501,a1),f10(x11501,f95(f95(x11501,a1),f95(x11501,a1)),f111(x11501),x11503),f4(f95(x11501,a1))))),x11504))
% 6.38/6.62 [1151]~P11(f10(f95(x11511,a1),a1,f10(f95(x11511,a1),f95(f95(x11511,a1),a1),f122(f95(x11511,a1)),x11512),x11514))+~P11(f10(f95(x11511,a1),a1,f10(f95(x11511,a1),f95(f95(x11511,a1),a1),f123(f95(x11511,a1)),x11512),x11514))+P11(f10(f95(x11511,a1),a1,f10(f95(x11511,a1),f95(f95(x11511,a1),a1),f123(f95(x11511,a1)),x11512),f10(f95(x11511,a1),f95(x11511,a1),f10(x11511,f95(f95(x11511,a1),f95(x11511,a1)),f111(x11511),x11513),x11514)))+~P11(f10(f95(x11511,a1),a1,f10(f95(x11511,a1),f95(f95(x11511,a1),a1),f123(f95(x11511,a1)),f10(f95(x11511,a1),f95(x11511,a1),f10(f95(x11511,a1),f95(f95(x11511,a1),f95(x11511,a1)),f113(f95(x11511,a1)),x11512),f10(f95(x11511,a1),f95(x11511,a1),f10(x11511,f95(f95(x11511,a1),f95(x11511,a1)),f111(x11511),x11513),f4(f95(x11511,a1))))),x11514))
% 6.38/6.62 [741]~P3(x7411)+E(f10(x7411,x7411,f5(x7411),x7412),f10(x7411,x7411,f5(x7411),x7413))+~E(f10(x7411,x7411,f5(x7411),x7414),f10(x7411,x7411,f5(x7411),x7415))+~E(f10(x7411,x7411,f10(x7411,f95(x7411,x7411),f113(x7411),x7414),x7415),f10(x7411,x7411,f10(x7411,f95(x7411,x7411),f113(x7411),x7412),x7413))
% 6.38/6.62 [883]~P26(x8831)+~E(f10(x8831,x8831,f10(x8831,f95(x8831,x8831),f113(x8831),x8834),x8835),f10(x8831,x8831,f10(x8831,f95(x8831,x8831),f113(x8831),x8832),x8833))+~P11(f10(x8831,a1,f10(x8831,f95(x8831,a1),f123(x8831),x8834),x8835))+P11(f10(x8831,a1,f10(x8831,f95(x8831,a1),f123(x8831),x8832),x8833))
% 6.38/6.62 [885]~P26(x8851)+~E(f10(x8851,x8851,f10(x8851,f95(x8851,x8851),f113(x8851),x8854),x8855),f10(x8851,x8851,f10(x8851,f95(x8851,x8851),f113(x8851),x8852),x8853))+~P11(f10(x8851,a1,f10(x8851,f95(x8851,a1),f122(x8851),x8854),x8855))+P11(f10(x8851,a1,f10(x8851,f95(x8851,a1),f122(x8851),x8852),x8853))
% 6.38/6.62 [962]E(f10(x9621,x9621,f10(x9621,f95(x9621,x9621),x9622,x9623),f10(f95(x9621,a1),x9621,x9624,x9625)),f10(f95(x9621,a1),x9621,x9624,x9625))+~P11(f10(f95(x9621,a1),a1,f103(x9621),x9625))+~P11(f10(f95(f95(x9621,a1),x9621),a1,f10(f95(x9621,f95(x9621,x9621)),f95(f95(f95(x9621,a1),x9621),a1),f101(x9621),x9622),x9624))+~P11(f10(f95(x9621,a1),a1,f10(x9621,f95(f95(x9621,a1),a1),f110(x9621),x9623),x9625))
% 6.38/6.62 [956]E(f10(f95(x9561,a1),f95(x9561,a1),f5(f95(x9561,a1)),x9562),f4(f95(x9561,a1)))+E(f10(f95(x9561,a1),x9561,x9563,f10(f95(x9561,a1),f95(x9561,a1),f10(x9561,f95(f95(x9561,a1),f95(x9561,a1)),f111(x9561),x9564),x9562)),f10(x9561,x9561,f10(x9561,f95(x9561,x9561),x9565,x9564),f10(f95(x9561,a1),x9561,x9563,x9562)))+~P11(f10(f95(x9561,a1),a1,f103(x9561),x9562))+~P11(f10(f95(f95(x9561,a1),x9561),a1,f10(f95(x9561,f95(x9561,x9561)),f95(f95(f95(x9561,a1),x9561),a1),f101(x9561),x9565),x9563))
% 6.38/6.62 [1028]~E(f10(f95(x10281,a1),f95(x10281,a1),f10(f95(x10281,a1),f95(f95(x10281,a1),f95(x10281,a1)),f113(f95(x10281,a1)),x10284),f10(f95(x10281,a1),f95(x10281,a1),f10(x10281,f95(f95(x10281,a1),f95(x10281,a1)),f111(x10281),x10283),f4(f95(x10281,a1)))),f4(f95(x10281,a1)))+E(f10(f95(x10281,a1),x10281,x10282,f10(f95(x10281,a1),f95(x10281,a1),f10(x10281,f95(f95(x10281,a1),f95(x10281,a1)),f111(x10281),x10283),x10284)),f10(x10281,x10281,f5(x10281),x10283))+~P11(f10(f95(x10281,a1),a1,f103(x10281),x10284))+~P11(f10(f95(f95(x10281,a1),x10281),a1,f10(f95(x10281,f95(x10281,x10281)),f95(f95(f95(x10281,a1),x10281),a1),f105(x10281),x10285),x10282))
% 6.38/6.62 [1076]~P23(x10761)+~P11(f10(x10761,a1,f10(x10761,f95(x10761,a1),f123(x10761),x10762),x10764))+~P11(f10(x10761,a1,f10(x10761,f95(x10761,a1),f123(x10761),x10763),x10765))+P11(f10(x10761,a1,f10(x10761,f95(x10761,a1),f123(x10761),f10(x10761,x10761,f10(x10761,f95(x10761,x10761),f124(x10761),x10762),x10763)),f10(x10761,x10761,f10(x10761,f95(x10761,x10761),f124(x10761),x10764),x10765)))
% 6.38/6.62 [1077]~P23(x10771)+~P11(f10(x10771,a1,f10(x10771,f95(x10771,a1),f122(x10771),x10772),x10774))+~P11(f10(x10771,a1,f10(x10771,f95(x10771,a1),f123(x10771),x10773),x10775))+P11(f10(x10771,a1,f10(x10771,f95(x10771,a1),f123(x10771),f10(x10771,x10771,f10(x10771,f95(x10771,x10771),f124(x10771),x10772),x10773)),f10(x10771,x10771,f10(x10771,f95(x10771,x10771),f124(x10771),x10774),x10775)))
% 6.38/6.62 [1078]~P23(x10781)+~P11(f10(x10781,a1,f10(x10781,f95(x10781,a1),f122(x10781),x10783),x10785))+~P11(f10(x10781,a1,f10(x10781,f95(x10781,a1),f123(x10781),x10782),x10784))+P11(f10(x10781,a1,f10(x10781,f95(x10781,a1),f123(x10781),f10(x10781,x10781,f10(x10781,f95(x10781,x10781),f124(x10781),x10782),x10783)),f10(x10781,x10781,f10(x10781,f95(x10781,x10781),f124(x10781),x10784),x10785)))
% 6.38/6.62 [1079]~P25(x10791)+~P11(f10(x10791,a1,f10(x10791,f95(x10791,a1),f122(x10791),x10792),x10794))+~P11(f10(x10791,a1,f10(x10791,f95(x10791,a1),f122(x10791),x10793),x10795))+P11(f10(x10791,a1,f10(x10791,f95(x10791,a1),f122(x10791),f10(x10791,x10791,f10(x10791,f95(x10791,x10791),f124(x10791),x10792),x10793)),f10(x10791,x10791,f10(x10791,f95(x10791,x10791),f124(x10791),x10794),x10795)))
% 6.38/6.62 [1127]E(f10(f95(x11271,a1),f95(x11271,a1),f10(f95(x11271,a1),f95(f95(x11271,a1),f95(x11271,a1)),f113(f95(x11271,a1)),x11272),f10(f95(x11271,a1),f95(x11271,a1),f10(x11271,f95(f95(x11271,a1),f95(x11271,a1)),f111(x11271),x11273),f4(f95(x11271,a1)))),f4(f95(x11271,a1)))+~P11(f10(f95(x11271,a1),a1,f103(x11271),x11272))+E(f10(x11271,x11271,f10(x11271,f95(x11271,x11271),x11274,x11273),f10(f95(x11271,a1),x11271,x11275,f10(f95(x11271,a1),f95(x11271,a1),f10(f95(x11271,a1),f95(f95(x11271,a1),f95(x11271,a1)),f113(f95(x11271,a1)),x11272),f10(f95(x11271,a1),f95(x11271,a1),f10(x11271,f95(f95(x11271,a1),f95(x11271,a1)),f111(x11271),x11273),f4(f95(x11271,a1)))))),f10(f95(x11271,a1),x11271,x11275,f10(f95(x11271,a1),f95(x11271,a1),f10(x11271,f95(f95(x11271,a1),f95(x11271,a1)),f111(x11271),x11273),x11272)))+~P11(f10(f95(f95(x11271,a1),x11271),a1,f10(f95(x11271,f95(x11271,x11271)),f95(f95(f95(x11271,a1),x11271),a1),f105(x11271),x11274),x11275))
% 6.38/6.62 [1175]~E(f10(x11751,x11752,x11756,f50(x11751,x11752,x11754,x11757,x11755,x11756,x11753)),f10(x11752,x11752,f5(x11752),x11755))+E(f10(f95(x11751,a1),x11752,x11753,x11754),f10(x11752,x11752,f5(x11752),x11755))+~P11(f10(f95(x11751,a1),a1,f103(x11751),x11754))+~P11(f10(f95(f95(x11751,a1),x11752),a1,f10(f95(x11751,x11752),f95(f95(f95(x11751,a1),x11752),a1),f10(x11752,f95(f95(x11751,x11752),f95(f95(f95(x11751,a1),x11752),a1)),f10(f95(x11752,f95(x11752,x11752)),f95(x11752,f95(f95(x11751,x11752),f95(f95(f95(x11751,a1),x11752),a1))),f102(x11752,x11751),x11757),x11755),x11756),x11753))
% 6.38/6.62 [1185]E(f10(f95(x11851,a1),x11852,x11853,x11854),f10(x11852,x11852,f5(x11852),x11855))+~P11(f10(f95(x11851,a1),a1,f103(x11851),x11854))+P11(f10(f95(x11851,a1),a1,f10(x11851,f95(f95(x11851,a1),a1),f110(x11851),f50(x11851,x11852,x11854,x11856,x11855,x11857,x11853)),x11854))+~P11(f10(f95(f95(x11851,a1),x11852),a1,f10(f95(x11851,x11852),f95(f95(f95(x11851,a1),x11852),a1),f10(x11852,f95(f95(x11851,x11852),f95(f95(f95(x11851,a1),x11852),a1)),f10(f95(x11852,f95(x11852,x11852)),f95(x11852,f95(f95(x11851,x11852),f95(f95(f95(x11851,a1),x11852),a1))),f102(x11852,x11851),x11856),x11855),x11857),x11853))
% 6.38/6.62 [1144]E(f10(f95(x11441,a1),x11442,x11443,f10(f95(x11441,a1),f95(x11441,a1),f10(x11441,f95(f95(x11441,a1),f95(x11441,a1)),f111(x11441),x11444),x11445)),f10(x11442,x11442,f10(x11442,f95(x11442,x11442),x11446,f10(x11441,x11442,x11447,x11444)),f10(f95(x11441,a1),x11442,x11443,x11445)))+~P11(f10(f95(x11441,a1),a1,f103(x11441),x11445))+P11(f10(f95(x11441,a1),a1,f10(x11441,f95(f95(x11441,a1),a1),f110(x11441),x11444),x11445))+~P11(f10(f95(f95(x11441,a1),x11442),a1,f10(f95(x11441,x11442),f95(f95(f95(x11441,a1),x11442),a1),f10(x11442,f95(f95(x11441,x11442),f95(f95(f95(x11441,a1),x11442),a1)),f10(f95(x11442,f95(x11442,x11442)),f95(x11442,f95(f95(x11441,x11442),f95(f95(f95(x11441,a1),x11442),a1))),f102(x11442,x11441),x11446),x11448),x11447),x11443))
% 6.38/6.62 [1155]~P11(f10(f95(x11553,a1),a1,f103(x11553),x11557))+E(f10(x11551,x11551,f10(x11551,f95(x11551,x11551),x11552,f10(x11553,x11551,x11554,x11555)),f10(f95(x11553,a1),x11551,x11556,f10(f95(x11553,a1),f95(x11553,a1),f10(f95(x11553,a1),f95(f95(x11553,a1),f95(x11553,a1)),f113(f95(x11553,a1)),x11557),f10(f95(x11553,a1),f95(x11553,a1),f10(x11553,f95(f95(x11553,a1),f95(x11553,a1)),f111(x11553),x11555),f4(f95(x11553,a1)))))),f10(f95(x11553,a1),x11551,x11556,x11557))+~P11(f10(f95(x11553,a1),a1,f10(x11553,f95(f95(x11553,a1),a1),f110(x11553),x11555),x11557))+~P11(f10(f95(f95(x11553,a1),x11551),a1,f10(f95(x11553,x11551),f95(f95(f95(x11553,a1),x11551),a1),f10(x11551,f95(f95(x11553,x11551),f95(f95(f95(x11553,a1),x11551),a1)),f10(f95(x11551,f95(x11551,x11551)),f95(x11551,f95(f95(x11553,x11551),f95(f95(f95(x11553,a1),x11551),a1))),f102(x11551,x11553),x11552),x11558),x11554),x11556))
% 6.38/6.62 [880]~P24(x8801)+E(f10(x8801,x8801,f5(x8801),x8802),f114(x8801))+~E(f10(x8801,x8801,f10(x8801,f95(x8801,x8801),f124(x8801),x8803),x8802),f114(x8801))+~P11(f10(x8801,a1,f10(x8801,f95(x8801,a1),f122(x8801),f114(x8801)),x8802))+~P11(f10(x8801,a1,f10(x8801,f95(x8801,a1),f122(x8801),f114(x8801)),x8803))
% 6.38/6.62 [881]~P24(x8811)+E(f10(x8811,x8811,f5(x8811),x8812),f114(x8811))+~E(f10(x8811,x8811,f10(x8811,f95(x8811,x8811),f124(x8811),x8812),x8813),f114(x8811))+~P11(f10(x8811,a1,f10(x8811,f95(x8811,a1),f122(x8811),f114(x8811)),x8812))+~P11(f10(x8811,a1,f10(x8811,f95(x8811,a1),f122(x8811),f114(x8811)),x8813))
% 6.38/6.62 [1007]~E(f10(f95(x10071,a1),f95(x10071,a1),f5(f95(x10071,a1)),f37(x10071,x10073,x10072)),f4(f95(x10071,a1)))+E(f10(f95(x10071,a1),f95(x10071,a1),f5(f95(x10071,a1)),x10072),f4(f95(x10071,a1)))+~P11(f10(f95(x10071,a1),a1,f103(x10071),x10072))+P11(f10(f95(x10071,a1),a1,x10073,x10072))+~P11(f10(f95(x10071,a1),a1,x10073,f10(f95(x10071,a1),f95(x10071,a1),f10(x10071,f95(f95(x10071,a1),f95(x10071,a1)),f111(x10071),f38(x10071,x10073,x10072)),f4(f95(x10071,a1)))))
% 6.38/6.62 [1008]E(f10(f95(x10081,a1),f95(x10081,a1),f5(f95(x10081,a1)),x10082),f4(f95(x10081,a1)))+~P11(f10(f95(x10081,a1),a1,f103(x10081),x10082))+P11(f10(f95(x10081,a1),a1,x10083,f37(x10081,x10083,x10082)))+P11(f10(f95(x10081,a1),a1,x10083,x10082))+~P11(f10(f95(x10081,a1),a1,x10083,f10(f95(x10081,a1),f95(x10081,a1),f10(x10081,f95(f95(x10081,a1),f95(x10081,a1)),f111(x10081),f38(x10081,x10083,x10082)),f4(f95(x10081,a1)))))
% 6.38/6.62 [1009]E(f10(f95(x10091,a1),f95(x10091,a1),f5(f95(x10091,a1)),x10092),f4(f95(x10091,a1)))+~P11(f10(f95(x10091,a1),a1,f103(x10091),x10092))+P11(f10(f95(x10091,a1),a1,f103(x10091),f37(x10091,x10093,x10092)))+P11(f10(f95(x10091,a1),a1,x10093,x10092))+~P11(f10(f95(x10091,a1),a1,x10093,f10(f95(x10091,a1),f95(x10091,a1),f10(x10091,f95(f95(x10091,a1),f95(x10091,a1)),f111(x10091),f38(x10091,x10093,x10092)),f4(f95(x10091,a1)))))
% 6.38/6.62 [1065]E(f10(f95(x10651,a1),f95(x10651,a1),f5(f95(x10651,a1)),x10652),f4(f95(x10651,a1)))+~P11(f10(f95(x10651,a1),a1,f103(x10651),x10652))+P11(f10(f95(x10651,a1),a1,x10653,x10652))+~P11(f10(f95(x10651,a1),a1,f10(x10651,f95(f95(x10651,a1),a1),f110(x10651),f41(x10651,x10653,x10652)),f37(x10651,x10653,x10652)))+~P11(f10(f95(x10651,a1),a1,x10653,f10(f95(x10651,a1),f95(x10651,a1),f10(x10651,f95(f95(x10651,a1),f95(x10651,a1)),f111(x10651),f38(x10651,x10653,x10652)),f4(f95(x10651,a1)))))
% 6.38/6.62 [1109]E(f10(f95(x11091,a1),f95(x11091,a1),f5(f95(x11091,a1)),x11092),f4(f95(x11091,a1)))+~P11(f10(f95(x11091,a1),a1,f103(x11091),x11092))+P11(f10(f95(x11091,a1),a1,x11093,x11092))+~P11(f10(f95(x11091,a1),a1,x11093,f10(f95(x11091,a1),f95(x11091,a1),f10(x11091,f95(f95(x11091,a1),f95(x11091,a1)),f111(x11091),f41(x11091,x11093,x11092)),f37(x11091,x11093,x11092))))+~P11(f10(f95(x11091,a1),a1,x11093,f10(f95(x11091,a1),f95(x11091,a1),f10(x11091,f95(f95(x11091,a1),f95(x11091,a1)),f111(x11091),f38(x11091,x11093,x11092)),f4(f95(x11091,a1)))))
% 6.38/6.62 [912]~P11(f10(f95(x9121,a1),a1,f103(x9121),x9123))+P11(f10(f95(x9121,a1),a1,x9122,f28(x9121,x9122,x9124,x9123)))+P11(f10(f95(x9121,a1),a1,x9122,x9123))+~P11(f10(f95(x9121,a1),a1,x9122,f4(f95(x9121,a1))))+~P11(f10(f95(x9121,a1),a1,f10(f95(x9121,a1),f95(f95(x9121,a1),a1),f122(f95(x9121,a1)),x9123),x9124))
% 6.38/6.62 [913]~P11(f10(f95(x9131,a1),a1,f103(x9131),x9133))+P11(f10(f95(x9131,a1),a1,f103(x9131),f28(x9131,x9132,x9134,x9133)))+P11(f10(f95(x9131,a1),a1,x9132,x9133))+~P11(f10(f95(x9131,a1),a1,x9132,f4(f95(x9131,a1))))+~P11(f10(f95(x9131,a1),a1,f10(f95(x9131,a1),f95(f95(x9131,a1),a1),f122(f95(x9131,a1)),x9133),x9134))
% 6.38/6.62 [963]~P11(f10(f95(x9631,a1),a1,f103(x9631),x9633))+P11(f10(f95(x9631,a1),a1,x9632,x9633))+~P11(f10(f95(x9631,a1),a1,x9632,f4(f95(x9631,a1))))+P11(f10(f95(x9631,a1),a1,f10(x9631,f95(f95(x9631,a1),a1),f110(x9631),f29(x9631,x9632,x9634,x9633)),x9634))+~P11(f10(f95(x9631,a1),a1,f10(f95(x9631,a1),f95(f95(x9631,a1),a1),f122(f95(x9631,a1)),x9633),x9634))
% 6.38/6.62 [1034]~P11(f10(f95(x10341,a1),a1,f10(x10341,f95(f95(x10341,a1),a1),f110(x10341),f29(x10341,x10342,x10344,x10343)),f28(x10341,x10342,x10344,x10343)))+~P11(f10(f95(x10341,a1),a1,f103(x10341),x10343))+P11(f10(f95(x10341,a1),a1,x10342,x10343))+~P11(f10(f95(x10341,a1),a1,x10342,f4(f95(x10341,a1))))+~P11(f10(f95(x10341,a1),a1,f10(f95(x10341,a1),f95(f95(x10341,a1),a1),f122(f95(x10341,a1)),x10343),x10344))
% 6.38/6.62 [1116]~P11(f10(f95(x11161,a1),a1,f103(x11161),x11163))+P11(f10(f95(x11161,a1),a1,x11162,x11163))+~P11(f10(f95(x11161,a1),a1,x11162,f10(f95(x11161,a1),f95(x11161,a1),f10(x11161,f95(f95(x11161,a1),f95(x11161,a1)),f111(x11161),f29(x11161,x11162,x11164,x11163)),f28(x11161,x11162,x11164,x11163))))+~P11(f10(f95(x11161,a1),a1,x11162,f4(f95(x11161,a1))))+~P11(f10(f95(x11161,a1),a1,f10(f95(x11161,a1),f95(f95(x11161,a1),a1),f122(f95(x11161,a1)),x11163),x11164))
% 6.38/6.62 [1161]E(f10(f95(x11611,a1),f95(x11611,a1),f5(f95(x11611,a1)),x11612),f4(f95(x11611,a1)))+~P11(f10(f95(x11611,a1),a1,f103(x11611),x11612))+~P11(f10(f95(f95(x11611,a1),x11611),a1,f10(f95(x11611,f95(x11611,x11611)),f95(f95(f95(x11611,a1),x11611),a1),f105(x11611),x11614),x11613))+P11(f10(f95(x11611,a1),a1,f10(x11611,f95(f95(x11611,a1),a1),f110(x11611),f10(f95(x11611,a1),x11611,x11613,x11612)),x11612))+~P11(f10(f95(x11611,a1),a1,f10(x11611,f95(f95(x11611,a1),a1),f110(x11611),f10(x11611,x11611,f10(x11611,f95(x11611,x11611),x11614,f44(x11611,x11612,x11614,x11613)),f45(x11611,x11612,x11614,x11613))),f10(f95(x11611,a1),f95(x11611,a1),f10(x11611,f95(f95(x11611,a1),f95(x11611,a1)),f111(x11611),f44(x11611,x11612,x11614,x11613)),f10(f95(x11611,a1),f95(x11611,a1),f10(x11611,f95(f95(x11611,a1),f95(x11611,a1)),f111(x11611),f45(x11611,x11612,x11614,x11613)),f4(f95(x11611,a1))))))
% 6.38/6.62 [990]E(f10(f95(x9901,a1),f95(x9901,a1),f5(f95(x9901,a1)),x9902),f4(f95(x9901,a1)))+E(f10(f95(x9901,a1),x9901,x9903,f10(f95(x9901,a1),f95(x9901,a1),f10(x9901,f95(f95(x9901,a1),f95(x9901,a1)),f111(x9901),x9904),x9902)),f10(x9901,x9901,f10(x9901,f95(x9901,x9901),x9905,x9904),f10(f95(x9901,a1),x9901,x9903,x9902)))+~P11(f10(f95(x9901,a1),a1,f103(x9901),x9902))+~P11(f10(f95(f95(x9901,a1),x9901),a1,f10(f95(x9901,f95(x9901,x9901)),f95(f95(f95(x9901,a1),x9901),a1),f105(x9901),x9905),x9903))+P11(f10(f95(x9901,a1),a1,f10(x9901,f95(f95(x9901,a1),a1),f110(x9901),x9904),x9902))
% 6.38/6.62 [1004]E(f10(x10041,x10041,f10(x10041,f95(x10041,x10041),x10043,f10(f95(x10041,a1),x10041,x10044,x10042)),f10(f95(x10041,a1),x10041,x10044,x10045)),f10(f95(x10041,a1),x10041,x10044,x10045))+E(f10(f95(x10041,a1),f95(x10041,a1),f5(f95(x10041,a1)),x10042),f4(f95(x10041,a1)))+~P11(f10(f95(x10041,a1),a1,f103(x10041),x10045))+~P11(f10(f95(f95(x10041,a1),x10041),a1,f10(f95(x10041,f95(x10041,x10041)),f95(f95(f95(x10041,a1),x10041),a1),f101(x10041),x10043),x10044))+~P11(f10(f95(x10041,a1),a1,f10(f95(x10041,a1),f95(f95(x10041,a1),a1),f122(f95(x10041,a1)),x10042),x10045))
% 6.38/6.62 [1041]E(f10(f95(x10411,a1),x10411,x10412,x10413),f10(x10411,x10411,f5(x10411),x10414))+~E(f10(f95(x10411,a1),f95(x10411,a1),f10(f95(x10411,a1),f95(f95(x10411,a1),f95(x10411,a1)),f113(f95(x10411,a1)),x10413),f10(f95(x10411,a1),f95(x10411,a1),f10(x10411,f95(f95(x10411,a1),f95(x10411,a1)),f111(x10411),x10414),f4(f95(x10411,a1)))),f4(f95(x10411,a1)))+~P11(f10(f95(x10411,a1),a1,f103(x10411),x10413))+~P11(f10(f95(f95(x10411,a1),x10411),a1,f10(f95(x10411,f95(x10411,x10411)),f95(f95(f95(x10411,a1),x10411),a1),f105(x10411),x10415),x10412))+~P11(f10(f95(x10411,a1),a1,f10(x10411,f95(f95(x10411,a1),a1),f110(x10411),x10414),x10413))
% 6.38/6.62 [1153]~E(f10(x11531,x11531,f10(x11531,f95(x11531,x11531),x11535,f10(x11531,x11531,x11534,f42(x11531,x11532,x11534,x11535,x11533))),f10(x11531,x11531,x11534,f43(x11531,x11532,x11534,x11535,x11533))),f10(x11531,x11531,x11534,f10(x11531,x11531,f10(x11531,f95(x11531,x11531),x11535,f42(x11531,x11532,x11534,x11535,x11533)),f43(x11531,x11532,x11534,x11535,x11533))))+E(f10(f95(x11531,a1),f95(x11531,a1),f5(f95(x11531,a1)),x11532),f4(f95(x11531,a1)))+E(f10(f95(x11531,a1),x11531,x11533,f10(f95(x11531,a1),f95(x11531,a1),f10(f95(x11531,x11531),f95(f95(x11531,a1),f95(x11531,a1)),f112(x11531,x11531),x11534),x11532)),f10(x11531,x11531,x11534,f10(f95(x11531,a1),x11531,x11533,x11532)))+~P11(f10(f95(x11531,a1),a1,f103(x11531),x11532))+~P11(f10(f95(f95(x11531,a1),x11531),a1,f10(f95(x11531,f95(x11531,x11531)),f95(f95(f95(x11531,a1),x11531),a1),f101(x11531),x11535),x11533))
% 6.38/6.62 [1128]E(f10(f95(x11281,a1),f95(x11281,a1),f10(f95(x11281,a1),f95(f95(x11281,a1),f95(x11281,a1)),f113(f95(x11281,a1)),x11282),f10(f95(x11281,a1),f95(x11281,a1),f10(x11281,f95(f95(x11281,a1),f95(x11281,a1)),f111(x11281),x11283),f4(f95(x11281,a1)))),f4(f95(x11281,a1)))+~P11(f10(f95(x11281,a1),a1,f103(x11281),x11282))+E(f10(x11281,x11281,f10(x11281,f95(x11281,x11281),x11284,x11283),f10(f95(x11281,a1),x11281,x11285,f10(f95(x11281,a1),f95(x11281,a1),f10(f95(x11281,a1),f95(f95(x11281,a1),f95(x11281,a1)),f113(f95(x11281,a1)),x11282),f10(f95(x11281,a1),f95(x11281,a1),f10(x11281,f95(f95(x11281,a1),f95(x11281,a1)),f111(x11281),x11283),f4(f95(x11281,a1)))))),f10(f95(x11281,a1),x11281,x11285,x11282))+~P11(f10(f95(f95(x11281,a1),x11281),a1,f10(f95(x11281,f95(x11281,x11281)),f95(f95(f95(x11281,a1),x11281),a1),f105(x11281),x11284),x11285))+~P11(f10(f95(x11281,a1),a1,f10(x11281,f95(f95(x11281,a1),a1),f110(x11281),x11283),x11282))
% 6.38/6.62 [887]~P24(x8871)+~E(f10(x8871,x8871,f5(x8871),x8873),f114(x8871))+~E(f10(x8871,x8871,f5(x8871),x8872),f114(x8871))+E(f10(x8871,x8871,f10(x8871,f95(x8871,x8871),f124(x8871),x8872),x8873),f114(x8871))+~P11(f10(x8871,a1,f10(x8871,f95(x8871,a1),f122(x8871),f114(x8871)),x8872))+~P11(f10(x8871,a1,f10(x8871,f95(x8871,a1),f122(x8871),f114(x8871)),x8873))
% 6.38/6.62 [1162]~P20(x11621)+~P20(x11623)+~P11(f10(x11621,a1,f10(x11621,f95(x11621,a1),f122(x11621),x11622),f10(x11623,x11621,x11624,x11626)))+P11(f10(x11623,a1,f10(x11623,f95(x11623,a1),f123(x11623),f76(x11621,x11623,x11625,x11622,x11624,x11626)),f79(x11621,x11623,x11625,x11622,x11624,x11626)))+P11(f10(x11621,a1,f10(x11621,f95(x11621,a1),f123(x11621),x11622),f10(x11623,x11621,x11624,x11625)))+~P11(f10(x11623,a1,f10(x11623,f95(x11623,a1),f123(x11623),x11626),x11625))
% 6.38/6.62 [1163]~P20(x11631)+~P20(x11633)+~P11(f10(x11631,a1,f10(x11631,f95(x11631,a1),f123(x11631),x11632),f10(x11633,x11631,x11634,x11636)))+P11(f10(x11633,a1,f10(x11633,f95(x11633,a1),f122(x11633),f81(x11631,x11633,x11635,x11632,x11634,x11636)),f86(x11631,x11633,x11635,x11632,x11634,x11636)))+P11(f10(x11631,a1,f10(x11631,f95(x11631,a1),f123(x11631),x11632),f10(x11633,x11631,x11634,x11635)))+~P11(f10(x11633,a1,f10(x11633,f95(x11633,a1),f122(x11633),x11636),x11635))
% 6.38/6.62 [1164]~P20(x11641)+~P20(x11643)+~P11(f10(x11641,a1,f10(x11641,f95(x11641,a1),f122(x11641),x11642),f10(x11643,x11641,x11644,x11646)))+P11(f10(x11643,a1,f10(x11643,f95(x11643,a1),f123(x11643),f82(x11641,x11643,x11642,x11644,x11646,x11645)),f83(x11641,x11643,x11642,x11644,x11646,x11645)))+P11(f10(x11641,a1,f10(x11641,f95(x11641,a1),f123(x11641),x11642),f10(x11643,x11641,x11644,x11645)))+~P11(f10(x11643,a1,f10(x11643,f95(x11643,a1),f123(x11643),x11646),x11645))
% 6.38/6.62 [1165]~P20(x11651)+~P20(x11653)+~P11(f10(x11651,a1,f10(x11651,f95(x11651,a1),f123(x11651),x11652),f10(x11653,x11651,x11654,x11656)))+P11(f10(x11653,a1,f10(x11653,f95(x11653,a1),f122(x11653),f84(x11651,x11653,x11652,x11654,x11656,x11655)),f85(x11651,x11653,x11652,x11654,x11656,x11655)))+P11(f10(x11651,a1,f10(x11651,f95(x11651,a1),f123(x11651),x11652),f10(x11653,x11651,x11654,x11655)))+~P11(f10(x11653,a1,f10(x11653,f95(x11653,a1),f122(x11653),x11656),x11655))
% 6.38/6.62 [1166]~P19(x11662)+~P20(x11661)+P11(f10(x11662,a1,f10(x11662,f95(x11662,a1),f123(x11662),f73(x11662,x11661,x11664,x11663,x11666,x11665)),f74(x11662,x11661,x11664,x11663,x11666,x11665)))+~P11(f10(x11662,a1,f10(x11662,f95(x11662,a1),f123(x11662),x11664),x11666))+~P11(f10(x11661,a1,f10(x11661,f95(x11661,a1),f122(x11661),f10(x11662,x11661,x11663,x11666)),x11665))+P11(f10(x11661,a1,f10(x11661,f95(x11661,a1),f123(x11661),f10(x11662,x11661,x11663,x11664)),x11665))
% 6.38/6.62 [1167]~P20(x11671)+~P20(x11672)+P11(f10(x11672,a1,f10(x11672,f95(x11672,a1),f122(x11672),f77(x11672,x11671,x11674,x11673,x11676,x11675)),f78(x11672,x11671,x11674,x11673,x11676,x11675)))+~P11(f10(x11672,a1,f10(x11672,f95(x11672,a1),f122(x11672),x11674),x11676))+~P11(f10(x11671,a1,f10(x11671,f95(x11671,a1),f123(x11671),f10(x11672,x11671,x11673,x11676)),x11675))+P11(f10(x11671,a1,f10(x11671,f95(x11671,a1),f123(x11671),f10(x11672,x11671,x11673,x11674)),x11675))
% 6.38/6.62 [1168]~P20(x11681)+~P20(x11682)+P11(f10(x11682,a1,f10(x11682,f95(x11682,a1),f123(x11682),f87(x11682,x11681,x11683,x11685,x11684,x11686)),f90(x11682,x11681,x11683,x11685,x11684,x11686)))+~P11(f10(x11682,a1,f10(x11682,f95(x11682,a1),f123(x11682),x11684),x11686))+~P11(f10(x11681,a1,f10(x11681,f95(x11681,a1),f122(x11681),f10(x11682,x11681,x11683,x11686)),x11685))+P11(f10(x11681,a1,f10(x11681,f95(x11681,a1),f123(x11681),f10(x11682,x11681,x11683,x11684)),x11685))
% 6.38/6.62 [1169]~P20(x11691)+~P20(x11692)+P11(f10(x11692,a1,f10(x11692,f95(x11692,a1),f122(x11692),f88(x11692,x11691,x11693,x11695,x11694,x11696)),f89(x11692,x11691,x11693,x11695,x11694,x11696)))+~P11(f10(x11692,a1,f10(x11692,f95(x11692,a1),f122(x11692),x11694),x11696))+~P11(f10(x11691,a1,f10(x11691,f95(x11691,a1),f123(x11691),f10(x11692,x11691,x11693,x11696)),x11695))+P11(f10(x11691,a1,f10(x11691,f95(x11691,a1),f123(x11691),f10(x11692,x11691,x11693,x11694)),x11695))
% 6.38/6.62 [1176]~P20(x11763)+~P20(x11761)+~P11(f10(x11761,a1,f10(x11761,f95(x11761,a1),f122(x11761),x11762),f10(x11763,x11761,x11764,x11766)))+P11(f10(x11761,a1,f10(x11761,f95(x11761,a1),f123(x11761),x11762),f10(x11763,x11761,x11764,x11765)))+~P11(f10(x11761,a1,f10(x11761,f95(x11761,a1),f123(x11761),f10(x11763,x11761,x11764,f76(x11761,x11763,x11765,x11762,x11764,x11766))),f10(x11763,x11761,x11764,f79(x11761,x11763,x11765,x11762,x11764,x11766))))+~P11(f10(x11763,a1,f10(x11763,f95(x11763,a1),f123(x11763),x11766),x11765))
% 6.38/6.62 [1177]~P20(x11773)+~P20(x11771)+~P11(f10(x11771,a1,f10(x11771,f95(x11771,a1),f123(x11771),x11772),f10(x11773,x11771,x11774,x11776)))+P11(f10(x11771,a1,f10(x11771,f95(x11771,a1),f123(x11771),x11772),f10(x11773,x11771,x11774,x11775)))+~P11(f10(x11771,a1,f10(x11771,f95(x11771,a1),f122(x11771),f10(x11773,x11771,x11774,f81(x11771,x11773,x11775,x11772,x11774,x11776))),f10(x11773,x11771,x11774,f86(x11771,x11773,x11775,x11772,x11774,x11776))))+~P11(f10(x11773,a1,f10(x11773,f95(x11773,a1),f122(x11773),x11776),x11775))
% 6.38/6.62 [1178]~P20(x11783)+~P20(x11781)+~P11(f10(x11781,a1,f10(x11781,f95(x11781,a1),f122(x11781),x11782),f10(x11783,x11781,x11784,x11786)))+P11(f10(x11781,a1,f10(x11781,f95(x11781,a1),f123(x11781),x11782),f10(x11783,x11781,x11784,x11785)))+~P11(f10(x11781,a1,f10(x11781,f95(x11781,a1),f123(x11781),f10(x11783,x11781,x11784,f82(x11781,x11783,x11782,x11784,x11786,x11785))),f10(x11783,x11781,x11784,f83(x11781,x11783,x11782,x11784,x11786,x11785))))+~P11(f10(x11783,a1,f10(x11783,f95(x11783,a1),f123(x11783),x11786),x11785))
% 6.38/6.62 [1179]~P20(x11793)+~P20(x11791)+~P11(f10(x11791,a1,f10(x11791,f95(x11791,a1),f123(x11791),x11792),f10(x11793,x11791,x11794,x11796)))+P11(f10(x11791,a1,f10(x11791,f95(x11791,a1),f123(x11791),x11792),f10(x11793,x11791,x11794,x11795)))+~P11(f10(x11791,a1,f10(x11791,f95(x11791,a1),f122(x11791),f10(x11793,x11791,x11794,f84(x11791,x11793,x11792,x11794,x11796,x11795))),f10(x11793,x11791,x11794,f85(x11791,x11793,x11792,x11794,x11796,x11795))))+~P11(f10(x11793,a1,f10(x11793,f95(x11793,a1),f122(x11793),x11796),x11795))
% 6.38/6.62 [1180]~P20(x11802)+~P20(x11801)+~P11(f10(x11801,a1,f10(x11801,f95(x11801,a1),f123(x11801),f10(x11802,x11801,x11803,f87(x11802,x11801,x11803,x11805,x11804,x11806))),f10(x11802,x11801,x11803,f90(x11802,x11801,x11803,x11805,x11804,x11806))))+~P11(f10(x11801,a1,f10(x11801,f95(x11801,a1),f122(x11801),f10(x11802,x11801,x11803,x11806)),x11805))+P11(f10(x11801,a1,f10(x11801,f95(x11801,a1),f123(x11801),f10(x11802,x11801,x11803,x11804)),x11805))+~P11(f10(x11802,a1,f10(x11802,f95(x11802,a1),f123(x11802),x11804),x11806))
% 6.38/6.62 [1181]~P20(x11812)+~P20(x11811)+~P11(f10(x11811,a1,f10(x11811,f95(x11811,a1),f122(x11811),f10(x11812,x11811,x11813,f88(x11812,x11811,x11813,x11815,x11814,x11816))),f10(x11812,x11811,x11813,f89(x11812,x11811,x11813,x11815,x11814,x11816))))+~P11(f10(x11811,a1,f10(x11811,f95(x11811,a1),f123(x11811),f10(x11812,x11811,x11813,x11816)),x11815))+P11(f10(x11811,a1,f10(x11811,f95(x11811,a1),f123(x11811),f10(x11812,x11811,x11813,x11814)),x11815))+~P11(f10(x11812,a1,f10(x11812,f95(x11812,a1),f122(x11812),x11814),x11816))
% 6.38/6.62 [1182]~P19(x11822)+~P20(x11821)+~P11(f10(x11821,a1,f10(x11821,f95(x11821,a1),f123(x11821),f10(x11822,x11821,x11823,f73(x11822,x11821,x11824,x11823,x11826,x11825))),f10(x11822,x11821,x11823,f74(x11822,x11821,x11824,x11823,x11826,x11825))))+~P11(f10(x11821,a1,f10(x11821,f95(x11821,a1),f122(x11821),f10(x11822,x11821,x11823,x11826)),x11825))+P11(f10(x11821,a1,f10(x11821,f95(x11821,a1),f123(x11821),f10(x11822,x11821,x11823,x11824)),x11825))+~P11(f10(x11822,a1,f10(x11822,f95(x11822,a1),f123(x11822),x11824),x11826))
% 6.38/6.62 [1183]~P20(x11832)+~P20(x11831)+~P11(f10(x11831,a1,f10(x11831,f95(x11831,a1),f122(x11831),f10(x11832,x11831,x11833,f77(x11832,x11831,x11834,x11833,x11836,x11835))),f10(x11832,x11831,x11833,f78(x11832,x11831,x11834,x11833,x11836,x11835))))+~P11(f10(x11831,a1,f10(x11831,f95(x11831,a1),f123(x11831),f10(x11832,x11831,x11833,x11836)),x11835))+P11(f10(x11831,a1,f10(x11831,f95(x11831,a1),f123(x11831),f10(x11832,x11831,x11833,x11834)),x11835))+~P11(f10(x11832,a1,f10(x11832,f95(x11832,a1),f122(x11832),x11834),x11836))
% 6.38/6.62 %EqnAxiom
% 6.38/6.62 [1]E(x11,x11)
% 6.38/6.62 [2]E(x22,x21)+~E(x21,x22)
% 6.38/6.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.38/6.62 [4]~E(x41,x42)+E(f114(x41),f114(x42))
% 6.38/6.62 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 6.38/6.62 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 6.38/6.62 [7]~E(x71,x72)+E(f10(x71,x73,x74,x75),f10(x72,x73,x74,x75))
% 6.38/6.62 [8]~E(x81,x82)+E(f10(x83,x81,x84,x85),f10(x83,x82,x84,x85))
% 6.38/6.62 [9]~E(x91,x92)+E(f10(x93,x94,x91,x95),f10(x93,x94,x92,x95))
% 6.38/6.62 [10]~E(x101,x102)+E(f10(x103,x104,x105,x101),f10(x103,x104,x105,x102))
% 6.38/6.62 [11]~E(x111,x112)+E(f95(x111,x113),f95(x112,x113))
% 6.38/6.62 [12]~E(x121,x122)+E(f95(x123,x121),f95(x123,x122))
% 6.38/6.62 [13]~E(x131,x132)+E(f110(x131),f110(x132))
% 6.38/6.62 [14]~E(x141,x142)+E(f82(x141,x143,x144,x145,x146,x147),f82(x142,x143,x144,x145,x146,x147))
% 6.38/6.62 [15]~E(x151,x152)+E(f82(x153,x151,x154,x155,x156,x157),f82(x153,x152,x154,x155,x156,x157))
% 6.38/6.62 [16]~E(x161,x162)+E(f82(x163,x164,x161,x165,x166,x167),f82(x163,x164,x162,x165,x166,x167))
% 6.38/6.62 [17]~E(x171,x172)+E(f82(x173,x174,x175,x171,x176,x177),f82(x173,x174,x175,x172,x176,x177))
% 6.38/6.62 [18]~E(x181,x182)+E(f82(x183,x184,x185,x186,x181,x187),f82(x183,x184,x185,x186,x182,x187))
% 6.38/6.62 [19]~E(x191,x192)+E(f82(x193,x194,x195,x196,x197,x191),f82(x193,x194,x195,x196,x197,x192))
% 6.38/6.62 [20]~E(x201,x202)+E(f111(x201),f111(x202))
% 6.38/6.62 [21]~E(x211,x212)+E(f123(x211),f123(x212))
% 6.38/6.62 [22]~E(x221,x222)+E(f9(x221,x223,x224),f9(x222,x223,x224))
% 6.38/6.62 [23]~E(x231,x232)+E(f9(x233,x231,x234),f9(x233,x232,x234))
% 6.38/6.62 [24]~E(x241,x242)+E(f9(x243,x244,x241),f9(x243,x244,x242))
% 6.38/6.62 [25]~E(x251,x252)+E(f124(x251),f124(x252))
% 6.38/6.62 [26]~E(x261,x262)+E(f112(x261,x263),f112(x262,x263))
% 6.38/6.62 [27]~E(x271,x272)+E(f112(x273,x271),f112(x273,x272))
% 6.38/6.62 [28]~E(x281,x282)+E(f117(x281),f117(x282))
% 6.38/6.62 [29]~E(x291,x292)+E(f122(x291),f122(x292))
% 6.38/6.62 [30]~E(x301,x302)+E(f126(x301),f126(x302))
% 6.38/6.62 [31]~E(x311,x312)+E(f103(x311),f103(x312))
% 6.38/6.62 [32]~E(x321,x322)+E(f73(x321,x323,x324,x325,x326,x327),f73(x322,x323,x324,x325,x326,x327))
% 6.38/6.62 [33]~E(x331,x332)+E(f73(x333,x331,x334,x335,x336,x337),f73(x333,x332,x334,x335,x336,x337))
% 6.38/6.62 [34]~E(x341,x342)+E(f73(x343,x344,x341,x345,x346,x347),f73(x343,x344,x342,x345,x346,x347))
% 6.38/6.62 [35]~E(x351,x352)+E(f73(x353,x354,x355,x351,x356,x357),f73(x353,x354,x355,x352,x356,x357))
% 6.38/6.62 [36]~E(x361,x362)+E(f73(x363,x364,x365,x366,x361,x367),f73(x363,x364,x365,x366,x362,x367))
% 6.38/6.62 [37]~E(x371,x372)+E(f73(x373,x374,x375,x376,x377,x371),f73(x373,x374,x375,x376,x377,x372))
% 6.38/6.62 [38]~E(x381,x382)+E(f20(x381,x383),f20(x382,x383))
% 6.38/6.62 [39]~E(x391,x392)+E(f20(x393,x391),f20(x393,x392))
% 6.38/6.62 [40]~E(x401,x402)+E(f96(x401),f96(x402))
% 6.38/6.62 [41]~E(x411,x412)+E(f38(x411,x413,x414),f38(x412,x413,x414))
% 6.38/6.62 [42]~E(x421,x422)+E(f38(x423,x421,x424),f38(x423,x422,x424))
% 6.38/6.62 [43]~E(x431,x432)+E(f38(x433,x434,x431),f38(x433,x434,x432))
% 6.38/6.62 [44]~E(x441,x442)+E(f113(x441),f113(x442))
% 6.38/6.62 [45]~E(x451,x452)+E(f130(x451,x453),f130(x452,x453))
% 6.38/6.62 [46]~E(x461,x462)+E(f130(x463,x461),f130(x463,x462))
% 6.38/6.62 [47]~E(x471,x472)+E(f13(x471,x473,x474),f13(x472,x473,x474))
% 6.38/6.62 [48]~E(x481,x482)+E(f13(x483,x481,x484),f13(x483,x482,x484))
% 6.38/6.62 [49]~E(x491,x492)+E(f13(x493,x494,x491),f13(x493,x494,x492))
% 6.38/6.62 [50]~E(x501,x502)+E(f28(x501,x503,x504,x505),f28(x502,x503,x504,x505))
% 6.38/6.62 [51]~E(x511,x512)+E(f28(x513,x511,x514,x515),f28(x513,x512,x514,x515))
% 6.38/6.62 [52]~E(x521,x522)+E(f28(x523,x524,x521,x525),f28(x523,x524,x522,x525))
% 6.38/6.62 [53]~E(x531,x532)+E(f28(x533,x534,x535,x531),f28(x533,x534,x535,x532))
% 6.38/6.62 [54]~E(x541,x542)+E(f37(x541,x543,x544),f37(x542,x543,x544))
% 6.38/6.62 [55]~E(x551,x552)+E(f37(x553,x551,x554),f37(x553,x552,x554))
% 6.38/6.62 [56]~E(x561,x562)+E(f37(x563,x564,x561),f37(x563,x564,x562))
% 6.38/6.62 [57]~E(x571,x572)+E(f8(x571,x573,x574),f8(x572,x573,x574))
% 6.38/6.62 [58]~E(x581,x582)+E(f8(x583,x581,x584),f8(x583,x582,x584))
% 6.38/6.62 [59]~E(x591,x592)+E(f8(x593,x594,x591),f8(x593,x594,x592))
% 6.38/6.62 [60]~E(x601,x602)+E(f89(x601,x603,x604,x605,x606,x607),f89(x602,x603,x604,x605,x606,x607))
% 6.38/6.62 [61]~E(x611,x612)+E(f89(x613,x611,x614,x615,x616,x617),f89(x613,x612,x614,x615,x616,x617))
% 6.38/6.62 [62]~E(x621,x622)+E(f89(x623,x624,x621,x625,x626,x627),f89(x623,x624,x622,x625,x626,x627))
% 6.38/6.62 [63]~E(x631,x632)+E(f89(x633,x634,x635,x631,x636,x637),f89(x633,x634,x635,x632,x636,x637))
% 6.38/6.62 [64]~E(x641,x642)+E(f89(x643,x644,x645,x646,x641,x647),f89(x643,x644,x645,x646,x642,x647))
% 6.38/6.62 [65]~E(x651,x652)+E(f89(x653,x654,x655,x656,x657,x651),f89(x653,x654,x655,x656,x657,x652))
% 6.38/6.62 [66]~E(x661,x662)+E(f88(x661,x663,x664,x665,x666,x667),f88(x662,x663,x664,x665,x666,x667))
% 6.38/6.62 [67]~E(x671,x672)+E(f88(x673,x671,x674,x675,x676,x677),f88(x673,x672,x674,x675,x676,x677))
% 6.38/6.62 [68]~E(x681,x682)+E(f88(x683,x684,x681,x685,x686,x687),f88(x683,x684,x682,x685,x686,x687))
% 6.38/6.62 [69]~E(x691,x692)+E(f88(x693,x694,x695,x691,x696,x697),f88(x693,x694,x695,x692,x696,x697))
% 6.38/6.62 [70]~E(x701,x702)+E(f88(x703,x704,x705,x706,x701,x707),f88(x703,x704,x705,x706,x702,x707))
% 6.38/6.62 [71]~E(x711,x712)+E(f88(x713,x714,x715,x716,x717,x711),f88(x713,x714,x715,x716,x717,x712))
% 6.38/6.62 [72]~E(x721,x722)+E(f80(x721,x723,x724,x725,x726),f80(x722,x723,x724,x725,x726))
% 6.38/6.62 [73]~E(x731,x732)+E(f80(x733,x731,x734,x735,x736),f80(x733,x732,x734,x735,x736))
% 6.38/6.62 [74]~E(x741,x742)+E(f80(x743,x744,x741,x745,x746),f80(x743,x744,x742,x745,x746))
% 6.38/6.62 [75]~E(x751,x752)+E(f80(x753,x754,x755,x751,x756),f80(x753,x754,x755,x752,x756))
% 6.38/6.62 [76]~E(x761,x762)+E(f80(x763,x764,x765,x766,x761),f80(x763,x764,x765,x766,x762))
% 6.38/6.62 [77]~E(x771,x772)+E(f131(x771,x773),f131(x772,x773))
% 6.38/6.62 [78]~E(x781,x782)+E(f131(x783,x781),f131(x783,x782))
% 6.38/6.62 [79]~E(x791,x792)+E(f42(x791,x793,x794,x795,x796),f42(x792,x793,x794,x795,x796))
% 6.38/6.62 [80]~E(x801,x802)+E(f42(x803,x801,x804,x805,x806),f42(x803,x802,x804,x805,x806))
% 6.38/6.62 [81]~E(x811,x812)+E(f42(x813,x814,x811,x815,x816),f42(x813,x814,x812,x815,x816))
% 6.38/6.62 [82]~E(x821,x822)+E(f42(x823,x824,x825,x821,x826),f42(x823,x824,x825,x822,x826))
% 6.38/6.62 [83]~E(x831,x832)+E(f42(x833,x834,x835,x836,x831),f42(x833,x834,x835,x836,x832))
% 6.38/6.62 [84]~E(x841,x842)+E(f43(x841,x843,x844,x845,x846),f43(x842,x843,x844,x845,x846))
% 6.38/6.62 [85]~E(x851,x852)+E(f43(x853,x851,x854,x855,x856),f43(x853,x852,x854,x855,x856))
% 6.38/6.62 [86]~E(x861,x862)+E(f43(x863,x864,x861,x865,x866),f43(x863,x864,x862,x865,x866))
% 6.38/6.62 [87]~E(x871,x872)+E(f43(x873,x874,x875,x871,x876),f43(x873,x874,x875,x872,x876))
% 6.38/6.62 [88]~E(x881,x882)+E(f43(x883,x884,x885,x886,x881),f43(x883,x884,x885,x886,x882))
% 6.38/6.62 [89]~E(x891,x892)+E(f45(x891,x893,x894,x895),f45(x892,x893,x894,x895))
% 6.38/6.62 [90]~E(x901,x902)+E(f45(x903,x901,x904,x905),f45(x903,x902,x904,x905))
% 6.38/6.62 [91]~E(x911,x912)+E(f45(x913,x914,x911,x915),f45(x913,x914,x912,x915))
% 6.38/6.62 [92]~E(x921,x922)+E(f45(x923,x924,x925,x921),f45(x923,x924,x925,x922))
% 6.38/6.62 [93]~E(x931,x932)+E(f7(x931),f7(x932))
% 6.38/6.62 [94]~E(x941,x942)+E(f57(x941,x943,x944),f57(x942,x943,x944))
% 6.38/6.62 [95]~E(x951,x952)+E(f57(x953,x951,x954),f57(x953,x952,x954))
% 6.38/6.62 [96]~E(x961,x962)+E(f57(x963,x964,x961),f57(x963,x964,x962))
% 6.38/6.62 [97]~E(x971,x972)+E(f27(x971,x973,x974),f27(x972,x973,x974))
% 6.38/6.62 [98]~E(x981,x982)+E(f27(x983,x981,x984),f27(x983,x982,x984))
% 6.38/6.62 [99]~E(x991,x992)+E(f27(x993,x994,x991),f27(x993,x994,x992))
% 6.38/6.62 [100]~E(x1001,x1002)+E(f66(x1001,x1003),f66(x1002,x1003))
% 6.38/6.62 [101]~E(x1011,x1012)+E(f66(x1013,x1011),f66(x1013,x1012))
% 6.38/6.62 [102]~E(x1021,x1022)+E(f26(x1021,x1023,x1024),f26(x1022,x1023,x1024))
% 6.38/6.62 [103]~E(x1031,x1032)+E(f26(x1033,x1031,x1034),f26(x1033,x1032,x1034))
% 6.38/6.62 [104]~E(x1041,x1042)+E(f26(x1043,x1044,x1041),f26(x1043,x1044,x1042))
% 6.38/6.62 [105]~E(x1051,x1052)+E(f59(x1051,x1053,x1054),f59(x1052,x1053,x1054))
% 6.38/6.62 [106]~E(x1061,x1062)+E(f59(x1063,x1061,x1064),f59(x1063,x1062,x1064))
% 6.38/6.62 [107]~E(x1071,x1072)+E(f59(x1073,x1074,x1071),f59(x1073,x1074,x1072))
% 6.38/6.62 [108]~E(x1081,x1082)+E(f129(x1081),f129(x1082))
% 6.38/6.62 [109]~E(x1091,x1092)+E(f100(x1091),f100(x1092))
% 6.38/6.62 [110]~E(x1101,x1102)+E(f46(x1101,x1103),f46(x1102,x1103))
% 6.38/6.62 [111]~E(x1111,x1112)+E(f46(x1113,x1111),f46(x1113,x1112))
% 6.38/6.62 [112]~E(x1121,x1122)+E(f14(x1121,x1123),f14(x1122,x1123))
% 6.38/6.62 [113]~E(x1131,x1132)+E(f14(x1133,x1131),f14(x1133,x1132))
% 6.38/6.62 [114]~E(x1141,x1142)+E(f67(x1141,x1143,x1144),f67(x1142,x1143,x1144))
% 6.38/6.62 [115]~E(x1151,x1152)+E(f67(x1153,x1151,x1154),f67(x1153,x1152,x1154))
% 6.38/6.62 [116]~E(x1161,x1162)+E(f67(x1163,x1164,x1161),f67(x1163,x1164,x1162))
% 6.38/6.62 [117]~E(x1171,x1172)+E(f75(x1171,x1173,x1174,x1175),f75(x1172,x1173,x1174,x1175))
% 6.38/6.62 [118]~E(x1181,x1182)+E(f75(x1183,x1181,x1184,x1185),f75(x1183,x1182,x1184,x1185))
% 6.38/6.62 [119]~E(x1191,x1192)+E(f75(x1193,x1194,x1191,x1195),f75(x1193,x1194,x1192,x1195))
% 6.38/6.62 [120]~E(x1201,x1202)+E(f75(x1203,x1204,x1205,x1201),f75(x1203,x1204,x1205,x1202))
% 6.38/6.62 [121]~E(x1211,x1212)+E(f47(x1211,x1213),f47(x1212,x1213))
% 6.38/6.62 [122]~E(x1221,x1222)+E(f47(x1223,x1221),f47(x1223,x1222))
% 6.38/6.62 [123]~E(x1231,x1232)+E(f87(x1231,x1233,x1234,x1235,x1236,x1237),f87(x1232,x1233,x1234,x1235,x1236,x1237))
% 6.38/6.62 [124]~E(x1241,x1242)+E(f87(x1243,x1241,x1244,x1245,x1246,x1247),f87(x1243,x1242,x1244,x1245,x1246,x1247))
% 6.38/6.62 [125]~E(x1251,x1252)+E(f87(x1253,x1254,x1251,x1255,x1256,x1257),f87(x1253,x1254,x1252,x1255,x1256,x1257))
% 6.38/6.62 [126]~E(x1261,x1262)+E(f87(x1263,x1264,x1265,x1261,x1266,x1267),f87(x1263,x1264,x1265,x1262,x1266,x1267))
% 6.38/6.62 [127]~E(x1271,x1272)+E(f87(x1273,x1274,x1275,x1276,x1271,x1277),f87(x1273,x1274,x1275,x1276,x1272,x1277))
% 6.38/6.62 [128]~E(x1281,x1282)+E(f87(x1283,x1284,x1285,x1286,x1287,x1281),f87(x1283,x1284,x1285,x1286,x1287,x1282))
% 6.38/6.62 [129]~E(x1291,x1292)+E(f52(x1291,x1293),f52(x1292,x1293))
% 6.38/6.62 [130]~E(x1301,x1302)+E(f52(x1303,x1301),f52(x1303,x1302))
% 6.38/6.62 [131]~E(x1311,x1312)+E(f105(x1311),f105(x1312))
% 6.38/6.62 [132]~E(x1321,x1322)+E(f101(x1321),f101(x1322))
% 6.38/6.62 [133]~E(x1331,x1332)+E(f61(x1331,x1333),f61(x1332,x1333))
% 6.38/6.62 [134]~E(x1341,x1342)+E(f61(x1343,x1341),f61(x1343,x1342))
% 6.38/6.62 [135]~E(x1351,x1352)+E(f12(x1351,x1353),f12(x1352,x1353))
% 6.38/6.62 [136]~E(x1361,x1362)+E(f12(x1363,x1361),f12(x1363,x1362))
% 6.38/6.62 [137]~E(x1371,x1372)+E(f23(x1371,x1373),f23(x1372,x1373))
% 6.38/6.62 [138]~E(x1381,x1382)+E(f23(x1383,x1381),f23(x1383,x1382))
% 6.38/6.62 [139]~E(x1391,x1392)+E(f64(x1391,x1393,x1394,x1395),f64(x1392,x1393,x1394,x1395))
% 6.38/6.62 [140]~E(x1401,x1402)+E(f64(x1403,x1401,x1404,x1405),f64(x1403,x1402,x1404,x1405))
% 6.38/6.62 [141]~E(x1411,x1412)+E(f64(x1413,x1414,x1411,x1415),f64(x1413,x1414,x1412,x1415))
% 6.38/6.62 [142]~E(x1421,x1422)+E(f64(x1423,x1424,x1425,x1421),f64(x1423,x1424,x1425,x1422))
% 6.38/6.62 [143]~E(x1431,x1432)+E(f60(x1431,x1433,x1434),f60(x1432,x1433,x1434))
% 6.38/6.62 [144]~E(x1441,x1442)+E(f60(x1443,x1441,x1444),f60(x1443,x1442,x1444))
% 6.38/6.62 [145]~E(x1451,x1452)+E(f60(x1453,x1454,x1451),f60(x1453,x1454,x1452))
% 6.38/6.62 [146]~E(x1461,x1462)+E(f70(x1461,x1463),f70(x1462,x1463))
% 6.38/6.62 [147]~E(x1471,x1472)+E(f70(x1473,x1471),f70(x1473,x1472))
% 6.38/6.62 [148]~E(x1481,x1482)+E(f90(x1481,x1483,x1484,x1485,x1486,x1487),f90(x1482,x1483,x1484,x1485,x1486,x1487))
% 6.38/6.62 [149]~E(x1491,x1492)+E(f90(x1493,x1491,x1494,x1495,x1496,x1497),f90(x1493,x1492,x1494,x1495,x1496,x1497))
% 6.38/6.62 [150]~E(x1501,x1502)+E(f90(x1503,x1504,x1501,x1505,x1506,x1507),f90(x1503,x1504,x1502,x1505,x1506,x1507))
% 6.38/6.62 [151]~E(x1511,x1512)+E(f90(x1513,x1514,x1515,x1511,x1516,x1517),f90(x1513,x1514,x1515,x1512,x1516,x1517))
% 6.38/6.62 [152]~E(x1521,x1522)+E(f90(x1523,x1524,x1525,x1526,x1521,x1527),f90(x1523,x1524,x1525,x1526,x1522,x1527))
% 6.38/6.62 [153]~E(x1531,x1532)+E(f90(x1533,x1534,x1535,x1536,x1537,x1531),f90(x1533,x1534,x1535,x1536,x1537,x1532))
% 6.38/6.62 [154]~E(x1541,x1542)+E(f58(x1541,x1543,x1544),f58(x1542,x1543,x1544))
% 6.38/6.62 [155]~E(x1551,x1552)+E(f58(x1553,x1551,x1554),f58(x1553,x1552,x1554))
% 6.38/6.62 [156]~E(x1561,x1562)+E(f58(x1563,x1564,x1561),f58(x1563,x1564,x1562))
% 6.38/6.62 [157]~E(x1571,x1572)+E(f56(x1571,x1573),f56(x1572,x1573))
% 6.38/6.62 [158]~E(x1581,x1582)+E(f56(x1583,x1581),f56(x1583,x1582))
% 6.38/6.62 [159]~E(x1591,x1592)+E(f71(x1591,x1593,x1594,x1595),f71(x1592,x1593,x1594,x1595))
% 6.38/6.62 [160]~E(x1601,x1602)+E(f71(x1603,x1601,x1604,x1605),f71(x1603,x1602,x1604,x1605))
% 6.38/6.62 [161]~E(x1611,x1612)+E(f71(x1613,x1614,x1611,x1615),f71(x1613,x1614,x1612,x1615))
% 6.38/6.62 [162]~E(x1621,x1622)+E(f71(x1623,x1624,x1625,x1621),f71(x1623,x1624,x1625,x1622))
% 6.38/6.62 [163]~E(x1631,x1632)+E(f102(x1631,x1633),f102(x1632,x1633))
% 6.38/6.62 [164]~E(x1641,x1642)+E(f102(x1643,x1641),f102(x1643,x1642))
% 6.38/6.62 [165]~E(x1651,x1652)+E(f118(x1651),f118(x1652))
% 6.38/6.62 [166]~E(x1661,x1662)+E(f29(x1661,x1663,x1664,x1665),f29(x1662,x1663,x1664,x1665))
% 6.38/6.62 [167]~E(x1671,x1672)+E(f29(x1673,x1671,x1674,x1675),f29(x1673,x1672,x1674,x1675))
% 6.38/6.62 [168]~E(x1681,x1682)+E(f29(x1683,x1684,x1681,x1685),f29(x1683,x1684,x1682,x1685))
% 6.38/6.62 [169]~E(x1691,x1692)+E(f29(x1693,x1694,x1695,x1691),f29(x1693,x1694,x1695,x1692))
% 6.38/6.62 [170]~E(x1701,x1702)+E(f24(x1701,x1703),f24(x1702,x1703))
% 6.38/6.62 [171]~E(x1711,x1712)+E(f24(x1713,x1711),f24(x1713,x1712))
% 6.38/6.62 [172]~E(x1721,x1722)+E(f77(x1721,x1723,x1724,x1725,x1726,x1727),f77(x1722,x1723,x1724,x1725,x1726,x1727))
% 6.38/6.62 [173]~E(x1731,x1732)+E(f77(x1733,x1731,x1734,x1735,x1736,x1737),f77(x1733,x1732,x1734,x1735,x1736,x1737))
% 6.38/6.62 [174]~E(x1741,x1742)+E(f77(x1743,x1744,x1741,x1745,x1746,x1747),f77(x1743,x1744,x1742,x1745,x1746,x1747))
% 6.38/6.62 [175]~E(x1751,x1752)+E(f77(x1753,x1754,x1755,x1751,x1756,x1757),f77(x1753,x1754,x1755,x1752,x1756,x1757))
% 6.38/6.62 [176]~E(x1761,x1762)+E(f77(x1763,x1764,x1765,x1766,x1761,x1767),f77(x1763,x1764,x1765,x1766,x1762,x1767))
% 6.38/6.62 [177]~E(x1771,x1772)+E(f77(x1773,x1774,x1775,x1776,x1777,x1771),f77(x1773,x1774,x1775,x1776,x1777,x1772))
% 6.38/6.62 [178]~E(x1781,x1782)+E(f119(x1781),f119(x1782))
% 6.38/6.62 [179]~E(x1791,x1792)+E(f69(x1791,x1793,x1794),f69(x1792,x1793,x1794))
% 6.38/6.62 [180]~E(x1801,x1802)+E(f69(x1803,x1801,x1804),f69(x1803,x1802,x1804))
% 6.38/6.62 [181]~E(x1811,x1812)+E(f69(x1813,x1814,x1811),f69(x1813,x1814,x1812))
% 6.38/6.62 [182]~E(x1821,x1822)+E(f83(x1821,x1823,x1824,x1825,x1826,x1827),f83(x1822,x1823,x1824,x1825,x1826,x1827))
% 6.38/6.62 [183]~E(x1831,x1832)+E(f83(x1833,x1831,x1834,x1835,x1836,x1837),f83(x1833,x1832,x1834,x1835,x1836,x1837))
% 6.38/6.62 [184]~E(x1841,x1842)+E(f83(x1843,x1844,x1841,x1845,x1846,x1847),f83(x1843,x1844,x1842,x1845,x1846,x1847))
% 6.38/6.62 [185]~E(x1851,x1852)+E(f83(x1853,x1854,x1855,x1851,x1856,x1857),f83(x1853,x1854,x1855,x1852,x1856,x1857))
% 6.38/6.62 [186]~E(x1861,x1862)+E(f83(x1863,x1864,x1865,x1866,x1861,x1867),f83(x1863,x1864,x1865,x1866,x1862,x1867))
% 6.38/6.62 [187]~E(x1871,x1872)+E(f83(x1873,x1874,x1875,x1876,x1877,x1871),f83(x1873,x1874,x1875,x1876,x1877,x1872))
% 6.38/6.62 [188]~E(x1881,x1882)+E(f104(x1881,x1883),f104(x1882,x1883))
% 6.38/6.62 [189]~E(x1891,x1892)+E(f104(x1893,x1891),f104(x1893,x1892))
% 6.38/6.62 [190]~E(x1901,x1902)+E(f49(x1901,x1903,x1904,x1905),f49(x1902,x1903,x1904,x1905))
% 6.38/6.62 [191]~E(x1911,x1912)+E(f49(x1913,x1911,x1914,x1915),f49(x1913,x1912,x1914,x1915))
% 6.38/6.62 [192]~E(x1921,x1922)+E(f49(x1923,x1924,x1921,x1925),f49(x1923,x1924,x1922,x1925))
% 6.38/6.62 [193]~E(x1931,x1932)+E(f49(x1933,x1934,x1935,x1931),f49(x1933,x1934,x1935,x1932))
% 6.38/6.62 [194]~E(x1941,x1942)+E(f86(x1941,x1943,x1944,x1945,x1946,x1947),f86(x1942,x1943,x1944,x1945,x1946,x1947))
% 6.38/6.62 [195]~E(x1951,x1952)+E(f86(x1953,x1951,x1954,x1955,x1956,x1957),f86(x1953,x1952,x1954,x1955,x1956,x1957))
% 6.38/6.62 [196]~E(x1961,x1962)+E(f86(x1963,x1964,x1961,x1965,x1966,x1967),f86(x1963,x1964,x1962,x1965,x1966,x1967))
% 6.38/6.62 [197]~E(x1971,x1972)+E(f86(x1973,x1974,x1975,x1971,x1976,x1977),f86(x1973,x1974,x1975,x1972,x1976,x1977))
% 6.38/6.62 [198]~E(x1981,x1982)+E(f86(x1983,x1984,x1985,x1986,x1981,x1987),f86(x1983,x1984,x1985,x1986,x1982,x1987))
% 6.38/6.62 [199]~E(x1991,x1992)+E(f86(x1993,x1994,x1995,x1996,x1997,x1991),f86(x1993,x1994,x1995,x1996,x1997,x1992))
% 6.38/6.62 [200]~E(x2001,x2002)+E(f40(x2001,x2003,x2004,x2005),f40(x2002,x2003,x2004,x2005))
% 6.38/6.62 [201]~E(x2011,x2012)+E(f40(x2013,x2011,x2014,x2015),f40(x2013,x2012,x2014,x2015))
% 6.38/6.62 [202]~E(x2021,x2022)+E(f40(x2023,x2024,x2021,x2025),f40(x2023,x2024,x2022,x2025))
% 6.38/6.62 [203]~E(x2031,x2032)+E(f40(x2033,x2034,x2035,x2031),f40(x2033,x2034,x2035,x2032))
% 6.38/6.62 [204]~E(x2041,x2042)+E(f39(x2041,x2043,x2044,x2045),f39(x2042,x2043,x2044,x2045))
% 6.38/6.62 [205]~E(x2051,x2052)+E(f39(x2053,x2051,x2054,x2055),f39(x2053,x2052,x2054,x2055))
% 6.38/6.62 [206]~E(x2061,x2062)+E(f39(x2063,x2064,x2061,x2065),f39(x2063,x2064,x2062,x2065))
% 6.38/6.62 [207]~E(x2071,x2072)+E(f39(x2073,x2074,x2075,x2071),f39(x2073,x2074,x2075,x2072))
% 6.38/6.62 [208]~E(x2081,x2082)+E(f128(x2081),f128(x2082))
% 6.38/6.62 [209]~E(x2091,x2092)+E(f55(x2091,x2093),f55(x2092,x2093))
% 6.38/6.62 [210]~E(x2101,x2102)+E(f55(x2103,x2101),f55(x2103,x2102))
% 6.38/6.62 [211]~E(x2111,x2112)+E(f132(x2111),f132(x2112))
% 6.38/6.62 [212]~E(x2121,x2122)+E(f76(x2121,x2123,x2124,x2125,x2126,x2127),f76(x2122,x2123,x2124,x2125,x2126,x2127))
% 6.38/6.62 [213]~E(x2131,x2132)+E(f76(x2133,x2131,x2134,x2135,x2136,x2137),f76(x2133,x2132,x2134,x2135,x2136,x2137))
% 6.38/6.62 [214]~E(x2141,x2142)+E(f76(x2143,x2144,x2141,x2145,x2146,x2147),f76(x2143,x2144,x2142,x2145,x2146,x2147))
% 6.38/6.62 [215]~E(x2151,x2152)+E(f76(x2153,x2154,x2155,x2151,x2156,x2157),f76(x2153,x2154,x2155,x2152,x2156,x2157))
% 6.38/6.62 [216]~E(x2161,x2162)+E(f76(x2163,x2164,x2165,x2166,x2161,x2167),f76(x2163,x2164,x2165,x2166,x2162,x2167))
% 6.38/6.62 [217]~E(x2171,x2172)+E(f76(x2173,x2174,x2175,x2176,x2177,x2171),f76(x2173,x2174,x2175,x2176,x2177,x2172))
% 6.38/6.62 [218]~E(x2181,x2182)+E(f36(x2181,x2183,x2184),f36(x2182,x2183,x2184))
% 6.38/6.62 [219]~E(x2191,x2192)+E(f36(x2193,x2191,x2194),f36(x2193,x2192,x2194))
% 6.38/6.62 [220]~E(x2201,x2202)+E(f36(x2203,x2204,x2201),f36(x2203,x2204,x2202))
% 6.38/6.62 [221]~E(x2211,x2212)+E(f30(x2211,x2213,x2214,x2215,x2216),f30(x2212,x2213,x2214,x2215,x2216))
% 6.38/6.62 [222]~E(x2221,x2222)+E(f30(x2223,x2221,x2224,x2225,x2226),f30(x2223,x2222,x2224,x2225,x2226))
% 6.38/6.62 [223]~E(x2231,x2232)+E(f30(x2233,x2234,x2231,x2235,x2236),f30(x2233,x2234,x2232,x2235,x2236))
% 6.38/6.62 [224]~E(x2241,x2242)+E(f30(x2243,x2244,x2245,x2241,x2246),f30(x2243,x2244,x2245,x2242,x2246))
% 6.38/6.62 [225]~E(x2251,x2252)+E(f30(x2253,x2254,x2255,x2256,x2251),f30(x2253,x2254,x2255,x2256,x2252))
% 6.38/6.62 [226]~E(x2261,x2262)+E(f63(x2261,x2263,x2264,x2265),f63(x2262,x2263,x2264,x2265))
% 6.38/6.62 [227]~E(x2271,x2272)+E(f63(x2273,x2271,x2274,x2275),f63(x2273,x2272,x2274,x2275))
% 6.38/6.62 [228]~E(x2281,x2282)+E(f63(x2283,x2284,x2281,x2285),f63(x2283,x2284,x2282,x2285))
% 6.38/6.62 [229]~E(x2291,x2292)+E(f63(x2293,x2294,x2295,x2291),f63(x2293,x2294,x2295,x2292))
% 6.38/6.62 [230]~E(x2301,x2302)+E(f53(x2301,x2303,x2304,x2305),f53(x2302,x2303,x2304,x2305))
% 6.38/6.62 [231]~E(x2311,x2312)+E(f53(x2313,x2311,x2314,x2315),f53(x2313,x2312,x2314,x2315))
% 6.38/6.62 [232]~E(x2321,x2322)+E(f53(x2323,x2324,x2321,x2325),f53(x2323,x2324,x2322,x2325))
% 6.38/6.62 [233]~E(x2331,x2332)+E(f53(x2333,x2334,x2335,x2331),f53(x2333,x2334,x2335,x2332))
% 6.38/6.62 [234]~E(x2341,x2342)+E(f33(x2341,x2343),f33(x2342,x2343))
% 6.38/6.62 [235]~E(x2351,x2352)+E(f33(x2353,x2351),f33(x2353,x2352))
% 6.38/6.62 [236]~E(x2361,x2362)+E(f78(x2361,x2363,x2364,x2365,x2366,x2367),f78(x2362,x2363,x2364,x2365,x2366,x2367))
% 6.38/6.62 [237]~E(x2371,x2372)+E(f78(x2373,x2371,x2374,x2375,x2376,x2377),f78(x2373,x2372,x2374,x2375,x2376,x2377))
% 6.38/6.62 [238]~E(x2381,x2382)+E(f78(x2383,x2384,x2381,x2385,x2386,x2387),f78(x2383,x2384,x2382,x2385,x2386,x2387))
% 6.38/6.62 [239]~E(x2391,x2392)+E(f78(x2393,x2394,x2395,x2391,x2396,x2397),f78(x2393,x2394,x2395,x2392,x2396,x2397))
% 6.38/6.62 [240]~E(x2401,x2402)+E(f78(x2403,x2404,x2405,x2406,x2401,x2407),f78(x2403,x2404,x2405,x2406,x2402,x2407))
% 6.38/6.62 [241]~E(x2411,x2412)+E(f78(x2413,x2414,x2415,x2416,x2417,x2411),f78(x2413,x2414,x2415,x2416,x2417,x2412))
% 6.38/6.62 [242]~E(x2421,x2422)+E(f17(x2421,x2423,x2424),f17(x2422,x2423,x2424))
% 6.38/6.62 [243]~E(x2431,x2432)+E(f17(x2433,x2431,x2434),f17(x2433,x2432,x2434))
% 6.38/6.62 [244]~E(x2441,x2442)+E(f17(x2443,x2444,x2441),f17(x2443,x2444,x2442))
% 6.38/6.62 [245]~E(x2451,x2452)+E(f85(x2451,x2453,x2454,x2455,x2456,x2457),f85(x2452,x2453,x2454,x2455,x2456,x2457))
% 6.38/6.62 [246]~E(x2461,x2462)+E(f85(x2463,x2461,x2464,x2465,x2466,x2467),f85(x2463,x2462,x2464,x2465,x2466,x2467))
% 6.38/6.62 [247]~E(x2471,x2472)+E(f85(x2473,x2474,x2471,x2475,x2476,x2477),f85(x2473,x2474,x2472,x2475,x2476,x2477))
% 6.38/6.62 [248]~E(x2481,x2482)+E(f85(x2483,x2484,x2485,x2481,x2486,x2487),f85(x2483,x2484,x2485,x2482,x2486,x2487))
% 6.38/6.62 [249]~E(x2491,x2492)+E(f85(x2493,x2494,x2495,x2496,x2491,x2497),f85(x2493,x2494,x2495,x2496,x2492,x2497))
% 6.38/6.62 [250]~E(x2501,x2502)+E(f85(x2503,x2504,x2505,x2506,x2507,x2501),f85(x2503,x2504,x2505,x2506,x2507,x2502))
% 6.38/6.62 [251]~E(x2511,x2512)+E(f41(x2511,x2513,x2514),f41(x2512,x2513,x2514))
% 6.38/6.62 [252]~E(x2521,x2522)+E(f41(x2523,x2521,x2524),f41(x2523,x2522,x2524))
% 6.38/6.62 [253]~E(x2531,x2532)+E(f41(x2533,x2534,x2531),f41(x2533,x2534,x2532))
% 6.38/6.62 [254]~E(x2541,x2542)+E(f35(x2541,x2543,x2544),f35(x2542,x2543,x2544))
% 6.38/6.62 [255]~E(x2551,x2552)+E(f35(x2553,x2551,x2554),f35(x2553,x2552,x2554))
% 6.38/6.62 [256]~E(x2561,x2562)+E(f35(x2563,x2564,x2561),f35(x2563,x2564,x2562))
% 6.38/6.62 [257]~E(x2571,x2572)+E(f21(x2571,x2573,x2574,x2575),f21(x2572,x2573,x2574,x2575))
% 6.38/6.62 [258]~E(x2581,x2582)+E(f21(x2583,x2581,x2584,x2585),f21(x2583,x2582,x2584,x2585))
% 6.38/6.62 [259]~E(x2591,x2592)+E(f21(x2593,x2594,x2591,x2595),f21(x2593,x2594,x2592,x2595))
% 6.38/6.62 [260]~E(x2601,x2602)+E(f21(x2603,x2604,x2605,x2601),f21(x2603,x2604,x2605,x2602))
% 6.38/6.62 [261]~E(x2611,x2612)+E(f68(x2611,x2613,x2614),f68(x2612,x2613,x2614))
% 6.38/6.62 [262]~E(x2621,x2622)+E(f68(x2623,x2621,x2624),f68(x2623,x2622,x2624))
% 6.38/6.62 [263]~E(x2631,x2632)+E(f68(x2633,x2634,x2631),f68(x2633,x2634,x2632))
% 6.38/6.62 [264]~E(x2641,x2642)+E(f91(x2641,x2643,x2644,x2645,x2646),f91(x2642,x2643,x2644,x2645,x2646))
% 6.38/6.62 [265]~E(x2651,x2652)+E(f91(x2653,x2651,x2654,x2655,x2656),f91(x2653,x2652,x2654,x2655,x2656))
% 6.38/6.62 [266]~E(x2661,x2662)+E(f91(x2663,x2664,x2661,x2665,x2666),f91(x2663,x2664,x2662,x2665,x2666))
% 6.38/6.62 [267]~E(x2671,x2672)+E(f91(x2673,x2674,x2675,x2671,x2676),f91(x2673,x2674,x2675,x2672,x2676))
% 6.38/6.62 [268]~E(x2681,x2682)+E(f91(x2683,x2684,x2685,x2686,x2681),f91(x2683,x2684,x2685,x2686,x2682))
% 6.38/6.62 [269]~E(x2691,x2692)+E(f84(x2691,x2693,x2694,x2695,x2696,x2697),f84(x2692,x2693,x2694,x2695,x2696,x2697))
% 6.38/6.62 [270]~E(x2701,x2702)+E(f84(x2703,x2701,x2704,x2705,x2706,x2707),f84(x2703,x2702,x2704,x2705,x2706,x2707))
% 6.38/6.62 [271]~E(x2711,x2712)+E(f84(x2713,x2714,x2711,x2715,x2716,x2717),f84(x2713,x2714,x2712,x2715,x2716,x2717))
% 6.38/6.62 [272]~E(x2721,x2722)+E(f84(x2723,x2724,x2725,x2721,x2726,x2727),f84(x2723,x2724,x2725,x2722,x2726,x2727))
% 6.38/6.62 [273]~E(x2731,x2732)+E(f84(x2733,x2734,x2735,x2736,x2731,x2737),f84(x2733,x2734,x2735,x2736,x2732,x2737))
% 6.38/6.62 [274]~E(x2741,x2742)+E(f84(x2743,x2744,x2745,x2746,x2747,x2741),f84(x2743,x2744,x2745,x2746,x2747,x2742))
% 6.38/6.62 [275]~E(x2751,x2752)+E(f92(x2751,x2753,x2754,x2755,x2756),f92(x2752,x2753,x2754,x2755,x2756))
% 6.38/6.62 [276]~E(x2761,x2762)+E(f92(x2763,x2761,x2764,x2765,x2766),f92(x2763,x2762,x2764,x2765,x2766))
% 6.38/6.62 [277]~E(x2771,x2772)+E(f92(x2773,x2774,x2771,x2775,x2776),f92(x2773,x2774,x2772,x2775,x2776))
% 6.38/6.62 [278]~E(x2781,x2782)+E(f92(x2783,x2784,x2785,x2781,x2786),f92(x2783,x2784,x2785,x2782,x2786))
% 6.38/6.62 [279]~E(x2791,x2792)+E(f92(x2793,x2794,x2795,x2796,x2791),f92(x2793,x2794,x2795,x2796,x2792))
% 6.38/6.62 [280]~E(x2801,x2802)+E(f79(x2801,x2803,x2804,x2805,x2806,x2807),f79(x2802,x2803,x2804,x2805,x2806,x2807))
% 6.38/6.62 [281]~E(x2811,x2812)+E(f79(x2813,x2811,x2814,x2815,x2816,x2817),f79(x2813,x2812,x2814,x2815,x2816,x2817))
% 6.38/6.62 [282]~E(x2821,x2822)+E(f79(x2823,x2824,x2821,x2825,x2826,x2827),f79(x2823,x2824,x2822,x2825,x2826,x2827))
% 6.38/6.62 [283]~E(x2831,x2832)+E(f79(x2833,x2834,x2835,x2831,x2836,x2837),f79(x2833,x2834,x2835,x2832,x2836,x2837))
% 6.38/6.62 [284]~E(x2841,x2842)+E(f79(x2843,x2844,x2845,x2846,x2841,x2847),f79(x2843,x2844,x2845,x2846,x2842,x2847))
% 6.38/6.62 [285]~E(x2851,x2852)+E(f79(x2853,x2854,x2855,x2856,x2857,x2851),f79(x2853,x2854,x2855,x2856,x2857,x2852))
% 6.38/6.62 [286]~E(x2861,x2862)+E(f22(x2861,x2863),f22(x2862,x2863))
% 6.38/6.62 [287]~E(x2871,x2872)+E(f22(x2873,x2871),f22(x2873,x2872))
% 6.38/6.62 [288]~E(x2881,x2882)+E(f120(x2881),f120(x2882))
% 6.38/6.62 [289]~E(x2891,x2892)+E(f31(x2891,x2893),f31(x2892,x2893))
% 6.38/6.62 [290]~E(x2901,x2902)+E(f31(x2903,x2901),f31(x2903,x2902))
% 6.38/6.62 [291]~E(x2911,x2912)+E(f74(x2911,x2913,x2914,x2915,x2916,x2917),f74(x2912,x2913,x2914,x2915,x2916,x2917))
% 6.38/6.62 [292]~E(x2921,x2922)+E(f74(x2923,x2921,x2924,x2925,x2926,x2927),f74(x2923,x2922,x2924,x2925,x2926,x2927))
% 6.38/6.62 [293]~E(x2931,x2932)+E(f74(x2933,x2934,x2931,x2935,x2936,x2937),f74(x2933,x2934,x2932,x2935,x2936,x2937))
% 6.38/6.62 [294]~E(x2941,x2942)+E(f74(x2943,x2944,x2945,x2941,x2946,x2947),f74(x2943,x2944,x2945,x2942,x2946,x2947))
% 6.38/6.62 [295]~E(x2951,x2952)+E(f74(x2953,x2954,x2955,x2956,x2951,x2957),f74(x2953,x2954,x2955,x2956,x2952,x2957))
% 6.38/6.62 [296]~E(x2961,x2962)+E(f74(x2963,x2964,x2965,x2966,x2967,x2961),f74(x2963,x2964,x2965,x2966,x2967,x2962))
% 6.38/6.62 [297]~E(x2971,x2972)+E(f48(x2971,x2973,x2974),f48(x2972,x2973,x2974))
% 6.38/6.62 [298]~E(x2981,x2982)+E(f48(x2983,x2981,x2984),f48(x2983,x2982,x2984))
% 6.38/6.62 [299]~E(x2991,x2992)+E(f48(x2993,x2994,x2991),f48(x2993,x2994,x2992))
% 6.38/6.62 [300]~E(x3001,x3002)+E(f18(x3001),f18(x3002))
% 6.38/6.62 [301]~E(x3011,x3012)+E(f32(x3011,x3013),f32(x3012,x3013))
% 6.38/6.62 [302]~E(x3021,x3022)+E(f32(x3023,x3021),f32(x3023,x3022))
% 6.38/6.62 [303]~E(x3031,x3032)+E(f34(x3031,x3033,x3034),f34(x3032,x3033,x3034))
% 6.38/6.62 [304]~E(x3041,x3042)+E(f34(x3043,x3041,x3044),f34(x3043,x3042,x3044))
% 6.38/6.62 [305]~E(x3051,x3052)+E(f34(x3053,x3054,x3051),f34(x3053,x3054,x3052))
% 6.38/6.62 [306]~E(x3061,x3062)+E(f81(x3061,x3063,x3064,x3065,x3066,x3067),f81(x3062,x3063,x3064,x3065,x3066,x3067))
% 6.38/6.62 [307]~E(x3071,x3072)+E(f81(x3073,x3071,x3074,x3075,x3076,x3077),f81(x3073,x3072,x3074,x3075,x3076,x3077))
% 6.38/6.62 [308]~E(x3081,x3082)+E(f81(x3083,x3084,x3081,x3085,x3086,x3087),f81(x3083,x3084,x3082,x3085,x3086,x3087))
% 6.38/6.62 [309]~E(x3091,x3092)+E(f81(x3093,x3094,x3095,x3091,x3096,x3097),f81(x3093,x3094,x3095,x3092,x3096,x3097))
% 6.38/6.62 [310]~E(x3101,x3102)+E(f81(x3103,x3104,x3105,x3106,x3101,x3107),f81(x3103,x3104,x3105,x3106,x3102,x3107))
% 6.38/6.62 [311]~E(x3111,x3112)+E(f81(x3113,x3114,x3115,x3116,x3117,x3111),f81(x3113,x3114,x3115,x3116,x3117,x3112))
% 6.38/6.62 [312]~E(x3121,x3122)+E(f72(x3121,x3123,x3124),f72(x3122,x3123,x3124))
% 6.38/6.62 [313]~E(x3131,x3132)+E(f72(x3133,x3131,x3134),f72(x3133,x3132,x3134))
% 6.38/6.62 [314]~E(x3141,x3142)+E(f72(x3143,x3144,x3141),f72(x3143,x3144,x3142))
% 6.38/6.62 [315]~E(x3151,x3152)+E(f65(x3151,x3153),f65(x3152,x3153))
% 6.38/6.62 [316]~E(x3161,x3162)+E(f65(x3163,x3161),f65(x3163,x3162))
% 6.38/6.62 [317]~E(x3171,x3172)+E(f15(x3171,x3173),f15(x3172,x3173))
% 6.38/6.62 [318]~E(x3181,x3182)+E(f15(x3183,x3181),f15(x3183,x3182))
% 6.38/6.62 [319]~E(x3191,x3192)+E(f51(x3191,x3193,x3194),f51(x3192,x3193,x3194))
% 6.38/6.62 [320]~E(x3201,x3202)+E(f51(x3203,x3201,x3204),f51(x3203,x3202,x3204))
% 6.38/6.62 [321]~E(x3211,x3212)+E(f51(x3213,x3214,x3211),f51(x3213,x3214,x3212))
% 6.38/6.62 [322]~E(x3221,x3222)+E(f50(x3221,x3223,x3224,x3225,x3226,x3227,x3228),f50(x3222,x3223,x3224,x3225,x3226,x3227,x3228))
% 6.38/6.62 [323]~E(x3231,x3232)+E(f50(x3233,x3231,x3234,x3235,x3236,x3237,x3238),f50(x3233,x3232,x3234,x3235,x3236,x3237,x3238))
% 6.38/6.62 [324]~E(x3241,x3242)+E(f50(x3243,x3244,x3241,x3245,x3246,x3247,x3248),f50(x3243,x3244,x3242,x3245,x3246,x3247,x3248))
% 6.38/6.62 [325]~E(x3251,x3252)+E(f50(x3253,x3254,x3255,x3251,x3256,x3257,x3258),f50(x3253,x3254,x3255,x3252,x3256,x3257,x3258))
% 6.38/6.62 [326]~E(x3261,x3262)+E(f50(x3263,x3264,x3265,x3266,x3261,x3267,x3268),f50(x3263,x3264,x3265,x3266,x3262,x3267,x3268))
% 6.38/6.62 [327]~E(x3271,x3272)+E(f50(x3273,x3274,x3275,x3276,x3277,x3271,x3278),f50(x3273,x3274,x3275,x3276,x3277,x3272,x3278))
% 6.38/6.62 [328]~E(x3281,x3282)+E(f50(x3283,x3284,x3285,x3286,x3287,x3288,x3281),f50(x3283,x3284,x3285,x3286,x3287,x3288,x3282))
% 6.38/6.62 [329]~E(x3291,x3292)+E(f19(x3291,x3293,x3294,x3295,x3296),f19(x3292,x3293,x3294,x3295,x3296))
% 6.38/6.62 [330]~E(x3301,x3302)+E(f19(x3303,x3301,x3304,x3305,x3306),f19(x3303,x3302,x3304,x3305,x3306))
% 6.38/6.62 [331]~E(x3311,x3312)+E(f19(x3313,x3314,x3311,x3315,x3316),f19(x3313,x3314,x3312,x3315,x3316))
% 6.38/6.62 [332]~E(x3321,x3322)+E(f19(x3323,x3324,x3325,x3321,x3326),f19(x3323,x3324,x3325,x3322,x3326))
% 6.38/6.62 [333]~E(x3331,x3332)+E(f19(x3333,x3334,x3335,x3336,x3331),f19(x3333,x3334,x3335,x3336,x3332))
% 6.38/6.62 [334]~E(x3341,x3342)+E(f16(x3341,x3343),f16(x3342,x3343))
% 6.38/6.62 [335]~E(x3351,x3352)+E(f16(x3353,x3351),f16(x3353,x3352))
% 6.38/6.62 [336]~E(x3361,x3362)+E(f44(x3361,x3363,x3364,x3365),f44(x3362,x3363,x3364,x3365))
% 6.38/6.62 [337]~E(x3371,x3372)+E(f44(x3373,x3371,x3374,x3375),f44(x3373,x3372,x3374,x3375))
% 6.38/6.62 [338]~E(x3381,x3382)+E(f44(x3383,x3384,x3381,x3385),f44(x3383,x3384,x3382,x3385))
% 6.38/6.62 [339]~E(x3391,x3392)+E(f44(x3393,x3394,x3395,x3391),f44(x3393,x3394,x3395,x3392))
% 6.38/6.62 [340]~E(x3401,x3402)+E(f25(x3401,x3403),f25(x3402,x3403))
% 6.38/6.62 [341]~E(x3411,x3412)+E(f25(x3413,x3411),f25(x3413,x3412))
% 6.38/6.62 [342]~E(x3421,x3422)+E(f54(x3421),f54(x3422))
% 6.38/6.62 [343]~E(x3431,x3432)+E(f62(x3431,x3433),f62(x3432,x3433))
% 6.38/6.62 [344]~E(x3441,x3442)+E(f62(x3443,x3441),f62(x3443,x3442))
% 6.38/6.62 [345]~P1(x3451)+P1(x3452)+~E(x3451,x3452)
% 6.38/6.62 [346]~P11(x3461)+P11(x3462)+~E(x3461,x3462)
% 6.38/6.62 [347]~P16(x3471)+P16(x3472)+~E(x3471,x3472)
% 6.38/6.62 [348]~P17(x3481)+P17(x3482)+~E(x3481,x3482)
% 6.38/6.62 [349]~P2(x3491)+P2(x3492)+~E(x3491,x3492)
% 6.38/6.62 [350]~P4(x3501)+P4(x3502)+~E(x3501,x3502)
% 6.38/6.62 [351]~P18(x3511)+P18(x3512)+~E(x3511,x3512)
% 6.38/6.62 [352]~P5(x3521)+P5(x3522)+~E(x3521,x3522)
% 6.38/6.62 [353]~P9(x3531)+P9(x3532)+~E(x3531,x3532)
% 6.38/6.62 [354]~P19(x3541)+P19(x3542)+~E(x3541,x3542)
% 6.38/6.62 [355]~P6(x3551)+P6(x3552)+~E(x3551,x3552)
% 6.38/6.62 [356]~P7(x3561)+P7(x3562)+~E(x3561,x3562)
% 6.38/6.62 [357]~P20(x3571)+P20(x3572)+~E(x3571,x3572)
% 6.38/6.62 [358]~P10(x3581)+P10(x3582)+~E(x3581,x3582)
% 6.38/6.62 [359]~P21(x3591)+P21(x3592)+~E(x3591,x3592)
% 6.38/6.62 [360]~P23(x3601)+P23(x3602)+~E(x3601,x3602)
% 6.38/6.62 [361]~P24(x3611)+P24(x3612)+~E(x3611,x3612)
% 6.38/6.62 [362]~P22(x3621)+P22(x3622)+~E(x3621,x3622)
% 6.38/6.62 [363]~P25(x3631)+P25(x3632)+~E(x3631,x3632)
% 6.38/6.62 [364]~P8(x3641)+P8(x3642)+~E(x3641,x3642)
% 6.38/6.62 [365]~P14(x3651)+P14(x3652)+~E(x3651,x3652)
% 6.38/6.62 [366]~P3(x3661)+P3(x3662)+~E(x3661,x3662)
% 6.38/6.62 [367]~P27(x3671)+P27(x3672)+~E(x3671,x3672)
% 6.38/6.62 [368]~P12(x3681)+P12(x3682)+~E(x3681,x3682)
% 6.38/6.62 [369]~P26(x3691)+P26(x3692)+~E(x3691,x3692)
% 6.38/6.62 [370]~P13(x3701)+P13(x3702)+~E(x3701,x3702)
% 6.38/6.62 [371]~P15(x3711)+P15(x3712)+~E(x3711,x3712)
% 6.38/6.62
% 6.38/6.62 %-------------------------------------------
% 6.38/6.63 cnf(1189,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x11891),x11892)),x11892))),
% 6.38/6.63 inference(rename_variables,[],[546])).
% 6.38/6.63 cnf(1201,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x12011),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x12012),x12011)))),
% 6.38/6.63 inference(rename_variables,[],[488])).
% 6.38/6.63 cnf(1204,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x12041),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x12042),x12041)))),
% 6.38/6.63 inference(rename_variables,[],[488])).
% 6.38/6.63 cnf(1207,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12071),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x12072),x12071))))),
% 6.38/6.63 inference(rename_variables,[],[507])).
% 6.38/6.63 cnf(1210,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12101),x12101))),
% 6.38/6.63 inference(rename_variables,[],[539])).
% 6.38/6.63 cnf(1217,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x12171)),x12171))),
% 6.38/6.63 inference(rename_variables,[],[544])).
% 6.38/6.63 cnf(1220,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x12201)),x12201))),
% 6.38/6.63 inference(rename_variables,[],[544])).
% 6.38/6.63 cnf(1223,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x12231),x12232)),x12232))),
% 6.38/6.63 inference(rename_variables,[],[546])).
% 6.38/6.63 cnf(1226,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x12261),x12262)),x12262))),
% 6.38/6.63 inference(rename_variables,[],[546])).
% 6.38/6.63 cnf(1233,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12331),f10(a3,a3,a125,x12331)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1242,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12421),f10(a3,a3,a125,x12421)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1265,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12651),f10(a3,a3,a125,x12651)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1282,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x12821),x12821))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1285,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12851),f10(a3,a3,a125,x12851)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1288,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x12881),x12881))),
% 6.38/6.63 inference(rename_variables,[],[539])).
% 6.38/6.63 cnf(1311,plain,
% 6.38/6.63 (E(f10(x13111,x13111,f5(x13111),f10(x13112,x13111,x13113,x13114)),f10(x13112,x13111,x13113,x13114))),
% 6.38/6.63 inference(rename_variables,[],[434])).
% 6.38/6.63 cnf(1314,plain,
% 6.38/6.63 (P11(f10(f95(x13141,a1),a1,f10(f95(x13141,a1),f95(f95(x13141,a1),a1),f122(f95(x13141,a1)),f10(f95(x13141,a1),f95(x13141,a1),f10(f95(x13141,a1),f95(f95(x13141,a1),f95(x13141,a1)),f113(f95(x13141,a1)),x13142),x13143)),x13142))),
% 6.38/6.63 inference(rename_variables,[],[515])).
% 6.38/6.63 cnf(1331,plain,
% 6.38/6.63 (P11(f10(f95(x13311,a1),a1,f10(f95(x13311,a1),f95(f95(x13311,a1),a1),f122(f95(x13311,a1)),x13312),f10(f95(x13311,a1),f95(x13311,a1),f10(x13311,f95(f95(x13311,a1),f95(x13311,a1)),f111(x13311),x13313),x13312)))),
% 6.38/6.63 inference(rename_variables,[],[495])).
% 6.38/6.63 cnf(1347,plain,
% 6.38/6.63 (P11(f10(f95(x13471,a1),a1,f10(f95(x13471,a1),f95(f95(x13471,a1),a1),f122(f95(x13471,a1)),x13472),x13472))),
% 6.38/6.63 inference(rename_variables,[],[463])).
% 6.38/6.63 cnf(1365,plain,
% 6.38/6.63 (~E(f10(a3,a3,a125,x13651),x13651)),
% 6.38/6.63 inference(rename_variables,[],[529])).
% 6.38/6.63 cnf(1367,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x13671),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x13672),x13671)))),
% 6.38/6.63 inference(rename_variables,[],[488])).
% 6.38/6.63 cnf(1376,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x13761),x13762)),x13761))),
% 6.38/6.63 inference(rename_variables,[],[504])).
% 6.38/6.63 cnf(1377,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f114(a3)),f10(a3,a3,a125,x13771)))),
% 6.38/6.63 inference(rename_variables,[],[471])).
% 6.38/6.63 cnf(1382,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f114(a3)),x13821))),
% 6.38/6.63 inference(rename_variables,[],[457])).
% 6.38/6.63 cnf(1389,plain,
% 6.38/6.63 (E(f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),f114(a3)),x13891),f114(a3))),
% 6.38/6.63 inference(rename_variables,[],[430])).
% 6.38/6.63 cnf(1392,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f114(a3)),f10(a3,a3,a125,x13921)))),
% 6.38/6.63 inference(rename_variables,[],[471])).
% 6.38/6.63 cnf(1393,plain,
% 6.38/6.63 (~E(f10(a3,a3,a125,x13931),x13931)),
% 6.38/6.63 inference(rename_variables,[],[529])).
% 6.38/6.63 cnf(1396,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x13961),x13961))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1401,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f114(a3)),f10(a3,a3,a125,x14011)))),
% 6.38/6.63 inference(rename_variables,[],[471])).
% 6.38/6.63 cnf(1402,plain,
% 6.38/6.63 (~E(f10(a3,a3,a125,x14021),x14021)),
% 6.38/6.63 inference(rename_variables,[],[529])).
% 6.38/6.63 cnf(1405,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x14051),x14051))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1406,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f114(a3)),x14061))),
% 6.38/6.63 inference(rename_variables,[],[457])).
% 6.38/6.63 cnf(1415,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x14151),x14152)),f10(a3,a3,a125,x14151)))),
% 6.38/6.63 inference(rename_variables,[],[509])).
% 6.38/6.63 cnf(1424,plain,
% 6.38/6.63 (P11(f10(f95(x14241,a1),a1,f10(f95(x14241,a1),f95(f95(x14241,a1),a1),f122(f95(x14241,a1)),f10(f95(x14241,a1),f95(x14241,a1),f10(f95(x14241,a1),f95(f95(x14241,a1),f95(x14241,a1)),f113(f95(x14241,a1)),x14242),x14243)),x14242))),
% 6.38/6.63 inference(rename_variables,[],[515])).
% 6.38/6.63 cnf(1433,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x14331),f10(a3,a3,a125,x14331)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1436,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f114(a3)),x14361))),
% 6.38/6.63 inference(rename_variables,[],[457])).
% 6.38/6.63 cnf(1453,plain,
% 6.38/6.63 (P11(f10(f95(x14531,a1),a1,f10(f95(x14531,a1),f95(f95(x14531,a1),a1),f122(f95(x14531,a1)),f4(f95(x14531,a1))),x14532))),
% 6.38/6.63 inference(rename_variables,[],[465])).
% 6.38/6.63 cnf(1458,plain,
% 6.38/6.63 (P11(f10(f95(x14581,a1),a1,f10(f95(x14581,a1),f95(f95(x14581,a1),a1),f122(f95(x14581,a1)),f10(f95(x14581,a1),f95(x14581,a1),f10(f95(x14581,a1),f95(f95(x14581,a1),f95(x14581,a1)),f113(f95(x14581,a1)),x14582),x14583)),x14582))),
% 6.38/6.63 inference(rename_variables,[],[515])).
% 6.38/6.63 cnf(1461,plain,
% 6.38/6.63 (P11(f10(f95(x14611,a1),a1,f10(f95(x14611,a1),f95(f95(x14611,a1),a1),f122(f95(x14611,a1)),f10(f95(x14611,a1),f95(x14611,a1),f10(f95(x14611,a1),f95(f95(x14611,a1),f95(x14611,a1)),f113(f95(x14611,a1)),x14612),x14613)),x14612))),
% 6.38/6.63 inference(rename_variables,[],[515])).
% 6.38/6.63 cnf(1468,plain,
% 6.38/6.63 (E(f10(x14681,x14681,f5(x14681),f10(x14682,x14681,x14683,x14684)),f10(x14682,x14681,x14683,x14684))),
% 6.38/6.63 inference(rename_variables,[],[434])).
% 6.38/6.63 cnf(1486,plain,
% 6.38/6.63 (E(f10(x14861,x14861,f5(x14861),f10(x14862,x14861,x14863,x14864)),f10(x14862,x14861,x14863,x14864))),
% 6.38/6.63 inference(rename_variables,[],[434])).
% 6.38/6.63 cnf(1523,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x15231),x15231))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1526,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f114(a3)),x15261))),
% 6.38/6.63 inference(rename_variables,[],[457])).
% 6.38/6.63 cnf(1527,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15271),x15271))),
% 6.38/6.63 inference(rename_variables,[],[539])).
% 6.38/6.63 cnf(1528,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15281),f10(a3,a3,a125,x15281)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1531,plain,
% 6.38/6.63 (~P11(f10(f95(x15311,a1),a1,f10(x15311,f95(f95(x15311,a1),a1),f110(x15311),x15312),f4(f95(x15311,a1))))),
% 6.38/6.63 inference(rename_variables,[],[542])).
% 6.38/6.63 cnf(1534,plain,
% 6.38/6.63 (~P11(f10(f95(x15341,a1),a1,f10(x15341,f95(f95(x15341,a1),a1),f110(x15341),x15342),f4(f95(x15341,a1))))),
% 6.38/6.63 inference(rename_variables,[],[542])).
% 6.38/6.63 cnf(1537,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x15371),x15372)),x15371))),
% 6.38/6.63 inference(rename_variables,[],[504])).
% 6.38/6.63 cnf(1540,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x15401),f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x15401),x15402)))),
% 6.38/6.63 inference(rename_variables,[],[489])).
% 6.38/6.63 cnf(1546,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15461),f10(a3,a3,a125,x15461)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1549,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15491),f10(a3,a3,a125,x15491)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1550,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15501),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x15502),x15501))))),
% 6.38/6.63 inference(rename_variables,[],[507])).
% 6.38/6.63 cnf(1553,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15531),f10(a3,a3,a125,x15531)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1559,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15591),f10(a3,a3,a125,f10(a3,a3,f10(a3,f95(a3,a3),f124(a3),x15592),x15591))))),
% 6.38/6.63 inference(rename_variables,[],[507])).
% 6.38/6.63 cnf(1564,plain,
% 6.38/6.63 (~P11(f10(f95(x15641,a1),a1,f10(x15641,f95(f95(x15641,a1),a1),f110(x15641),x15642),f4(f95(x15641,a1))))),
% 6.38/6.63 inference(rename_variables,[],[542])).
% 6.38/6.63 cnf(1567,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x15671)),x15671))),
% 6.38/6.63 inference(rename_variables,[],[544])).
% 6.38/6.63 cnf(1570,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,a125,x15701)),x15701))),
% 6.38/6.63 inference(rename_variables,[],[544])).
% 6.38/6.63 cnf(1573,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15731),x15731))),
% 6.38/6.63 inference(rename_variables,[],[539])).
% 6.38/6.63 cnf(1576,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15761),x15761))),
% 6.38/6.63 inference(rename_variables,[],[539])).
% 6.38/6.63 cnf(1579,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x15791),x15792)),x15791))),
% 6.38/6.63 inference(rename_variables,[],[504])).
% 6.38/6.63 cnf(1585,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15851),f114(a3)))),
% 6.38/6.63 inference(rename_variables,[],[540])).
% 6.38/6.63 cnf(1588,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x15881),x15882)),x15881))),
% 6.38/6.63 inference(rename_variables,[],[504])).
% 6.38/6.63 cnf(1589,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15891),f114(a3)))),
% 6.38/6.63 inference(rename_variables,[],[540])).
% 6.38/6.63 cnf(1594,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x15941),f114(a3)))),
% 6.38/6.63 inference(rename_variables,[],[540])).
% 6.38/6.63 cnf(1597,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x15971),x15971))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1600,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x16001),x16001))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1603,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x16031),f10(a3,a3,a125,x16031)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1606,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x16061),x16061))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(1614,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x16141),f10(a3,a3,a125,x16141)))),
% 6.38/6.63 inference(rename_variables,[],[470])).
% 6.38/6.63 cnf(1629,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),f10(a3,a3,f10(a3,f95(a3,a3),f113(a3),x16291),x16292)),x16291))),
% 6.38/6.63 inference(rename_variables,[],[504])).
% 6.38/6.63 cnf(1630,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x16301),f114(a3)))),
% 6.38/6.63 inference(rename_variables,[],[540])).
% 6.38/6.63 cnf(1634,plain,
% 6.38/6.63 (~P11(f10(a3,a1,f10(a3,f95(a3,a1),f123(a3),x16341),f114(a3)))),
% 6.38/6.63 inference(rename_variables,[],[540])).
% 6.38/6.63 cnf(1637,plain,
% 6.38/6.63 (P11(f10(a3,a1,f10(a3,f95(a3,a1),f122(a3),x16371),x16371))),
% 6.38/6.63 inference(rename_variables,[],[454])).
% 6.38/6.63 cnf(2117,plain,
% 6.38/6.63 ($false),
% 6.38/6.63 inference(scs_inference,[],[548,372,377,379,380,381,382,383,384,385,386,387,388,389,392,393,394,395,396,527,397,398,399,418,461,545,500,517,511,529,1365,1393,1402,535,434,1311,1468,1486,435,539,1210,1288,1527,1573,1576,454,1282,1396,1405,1523,1597,1600,1606,1637,429,470,1233,1242,1265,1285,1433,1528,1546,1549,1553,1603,1614,540,1585,1589,1594,1630,1634,426,544,1217,1220,1567,1570,457,1382,1406,1436,1526,430,1389,471,1377,1392,1401,482,542,1531,1534,1564,463,1347,488,1201,1204,1367,489,1540,504,1376,1537,1579,1588,1629,546,1189,1223,1226,509,1415,507,1207,1550,1559,543,465,1453,446,503,495,1331,515,1314,1424,1458,1461,2,657,653,647,768,667,1057,1056,1053,981,942,925,911,909,907,905,902,901,898,895,894,867,845,844,832,804,802,800,753,749,709,685,670,903,865,786,785,764,763,742,710,1083,1082,1068,1000,980,946,944,855,590,720,661,723,630,1003,739,862,841,766,699,693,923,762,1092,1088,964,938,759,1086,1115,1001,961,676,991,965,1062,987,368,346,3,871,606,1073,870,868,836,752,688,654,674,770,769,765,1107,996,1013,815,812,811,810,806,783,758,756,707,673,669,626,624,662,717,714,637,619,955,892,950,949,933,928,726,616,975,1081,1094,1093,915,771,1120,866,864,850,1106,1104,665,1080,1019,958,1011,1025,971,986,1067,1122,843,788,684,686,879,878,877,876,875,874,873,872,842,787,794,793,791,790,831,780,778,772,744,736,970,969,968,1032,883,1078,1077,1076,1033,1064,1142,1168,1166,887,644,643,599,598,597,596,577,576,565,563,555,554,553,552,551,655,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,860,648,603,575,569,550,562,1108,1097,1096,1058,1040,1039,1038,1037,1036,1035,1018,943,854,818,817,656,605,658,611,560,1069,1044,660,612,851,587,567,566,581,580,586,584,1124,789,663,573,570,858,838,825,824,738,664,633,632,997]),
% 6.38/6.63 ['proof']).
% 6.38/6.64 % SZS output end Proof
% 6.38/6.64 % Total time :5.450000s
%------------------------------------------------------------------------------