Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP410_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:49 AM UTC 2026

% Result   : Theorem 10.19s 2.55s
% Output   : Refutation 11.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  216
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  224 ( 222 unt;   0 typ;   1 def)
%            Number of atoms       :  226 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  218 ( 216   ~;   1   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :  442 (   0 atm; 221 fun; 221 num;   0 var)
%            Number of types       :  104 ( 102 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   98 (  96 usr;   1 prp; 0-3 aty)
%            Number of functors    :  842 ( 840 usr;  34 con; 0-4 aty)
%            Number of variables   :   24 (  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Nat_list_list$': $tType ).

tff(type_def_6,type,
    'A_constr_list_a_constr_list_prod_set$': $tType ).

tff(type_def_7,type,
    'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$': $tType ).

tff(type_def_8,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$': $tType ).

tff(type_def_9,type,
    'A_constr_list_a_TESL_atomic_list_prod$': $tType ).

tff(type_def_10,type,
    'Nat_nat_bool_fun_fun$': $tType ).

tff(type_def_11,type,
    'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).

tff(type_def_12,type,
    'Clock$': $tType ).

tff(type_def_13,type,
    'A_TESL_atomic_a_constr_prod$': $tType ).

tff(type_def_14,type,
    'A_constr_list_a_constr_list_fun$': $tType ).

tff(type_def_15,type,
    'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$': $tType ).

tff(type_def_16,type,
    'A_TESL_atomic_list_list$': $tType ).

tff(type_def_17,type,
    'Nat_a_TESL_atomic_prod$': $tType ).

tff(type_def_18,type,
    'Nat_a_TESL_atomic_prod_bool_fun$': $tType ).

tff(type_def_19,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$': $tType ).

tff(type_def_20,type,
    'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$': $tType ).

tff(type_def_21,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$': $tType ).

tff(type_def_22,type,
    'Nat_list$': $tType ).

tff(type_def_23,type,
    'A_TESL_atomic_list_set$': $tType ).

tff(type_def_24,type,
    'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$': $tType ).

tff(type_def_25,type,
    'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$': $tType ).

tff(type_def_26,type,
    'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$': $tType ).

tff(type_def_27,type,
    'Nat_a_constr_prod$': $tType ).

tff(type_def_28,type,
    'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$': $tType ).

tff(type_def_29,type,
    'A_constr_list$': $tType ).

tff(type_def_30,type,
    'A_TESL_atomic_list_a_constr_list_bool_fun_fun$': $tType ).

tff(type_def_31,type,
    'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$': $tType ).

tff(type_def_32,type,
    'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$': $tType ).

tff(type_def_33,type,
    'A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$': $tType ).

tff(type_def_34,type,
    'A_constr_a_TESL_atomic_prod_set$': $tType ).

tff(type_def_35,type,
    'A_TESL_atomic_list$': $tType ).

tff(type_def_36,type,
    'Int_int_fun$': $tType ).

tff(type_def_37,type,
    'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).

tff(type_def_38,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_prod$': $tType ).

tff(type_def_39,type,
    'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$': $tType ).

tff(type_def_40,type,
    'A_run$': $tType ).

tff(type_def_41,type,
    'A_tag_const$': $tType ).

tff(type_def_42,type,
    'A_constr_a_TESL_atomic_prod$': $tType ).

tff(type_def_43,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).

tff(type_def_44,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$': $tType ).

tff(type_def_45,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_fun$': $tType ).

tff(type_def_46,type,
    'A_TESL_atomic_list_list_list$': $tType ).

tff(type_def_47,type,
    'A_constr_list_list_list$': $tType ).

tff(type_def_48,type,
    'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$': $tType ).

tff(type_def_49,type,
    'A_TESL_atomic_list_nat_prod$': $tType ).

tff(type_def_50,type,
    'A_TESL_atomic_a_TESL_atomic_prod_set$': $tType ).

tff(type_def_51,type,
    'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).

tff(type_def_52,type,
    'A_constr_set$': $tType ).

tff(type_def_53,type,
    'A_run_set_a_run_set_a_run_set_fun_fun$': $tType ).

tff(type_def_54,type,
    'A_TESL_atomic_set$': $tType ).

tff(type_def_55,type,
    'Nat$': $tType ).

tff(type_def_56,type,
    'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$': $tType ).

tff(type_def_57,type,
    'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$': $tType ).

tff(type_def_58,type,
    'A_constr_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).

tff(type_def_59,type,
    'A_constr_list_a_constr_list_prod$': $tType ).

tff(type_def_60,type,
    'A_constr$': $tType ).

tff(type_def_61,type,
    'Nat_a_constr_prod_bool_fun$': $tType ).

tff(type_def_62,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$': $tType ).

tff(type_def_63,type,
    'Nat_a_TESL_atomic_prod_list$': $tType ).

tff(type_def_64,type,
    'A_constr_list_a_TESL_atomic_list_prod_set$': $tType ).

tff(type_def_65,type,
    'A_TESL_atomic_bool_fun$': $tType ).

tff(type_def_66,type,
    'A_TESL_atomic_a_TESL_atomic_fun$': $tType ).

tff(type_def_67,type,
    'A_TESL_atomic_list_a_constr_list_prod_set$': $tType ).

tff(type_def_68,type,
    'A_constr_a_constr_prod_set$': $tType ).

tff(type_def_69,type,
    'A_run_set_a_run_set_fun$': $tType ).

tff(type_def_70,type,
    'A_constr_list_a_constr_list_bool_fun_fun$': $tType ).

tff(type_def_71,type,
    'Nat_nat_bool_fun_fun_nat_list_prod$': $tType ).

tff(type_def_72,type,
    'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$': $tType ).

tff(type_def_73,type,
    'A_TESL_atomic_list_bool_fun$': $tType ).

tff(type_def_74,type,
    'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$': $tType ).

tff(type_def_75,type,
    'Nat_a_constr_prod_list$': $tType ).

tff(type_def_76,type,
    'A_constr_a_constr_bool_fun_fun$': $tType ).

tff(type_def_77,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).

tff(type_def_78,type,
    'A_run_set$': $tType ).

tff(type_def_79,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$': $tType ).

tff(type_def_80,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$': $tType ).

tff(type_def_81,type,
    'Nat_a_TESL_atomic_prod_list_list$': $tType ).

tff(type_def_82,type,
    'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$': $tType ).

tff(type_def_83,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$': $tType ).

tff(type_def_84,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).

tff(type_def_85,type,
    'A_TESL_atomic$': $tType ).

tff(type_def_86,type,
    'A_TESL_atomic_list_a_constr_list_prod$': $tType ).

tff(type_def_87,type,
    'A_run_bool_fun$': $tType ).

tff(type_def_88,type,
    'Int_int_int_fun_fun$': $tType ).

tff(type_def_89,type,
    'A_constr_list_bool_fun$': $tType ).

tff(type_def_90,type,
    'A_constr_list_set$': $tType ).

tff(type_def_91,type,
    'A_constr_bool_fun$': $tType ).

tff(type_def_92,type,
    'A_constr_a_constr_prod$': $tType ).

tff(type_def_93,type,
    'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).

tff(type_def_94,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$': $tType ).

tff(type_def_95,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_96,type,
    'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$': $tType ).

tff(type_def_97,type,
    'A_constr_list_list$': $tType ).

tff(type_def_98,type,
    'Nat_int_fun$': $tType ).

tff(type_def_99,type,
    'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$': $tType ).

tff(type_def_100,type,
    'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$': $tType ).

tff(type_def_101,type,
    'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$': $tType ).

tff(type_def_102,type,
    'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$': $tType ).

tff(type_def_103,type,
    'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$': $tType ).

tff(type_def_104,type,
    'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$': $tType ).

tff(type_def_105,type,
    'A_TESL_atomic_a_constr_prod_set$': $tType ).

tff(type_def_106,type,
    'A_TESL_atomic_a_TESL_atomic_prod$': $tType ).

tff(func_def_0,type,
    'nil$j': 'Nat_list$' ).

tff(func_def_1,type,
    'pair$k': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' ).

tff(func_def_2,type,
    'pair$': ( 'A_constr_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ).

tff(func_def_3,type,
    'fun_app$ac': ( 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_constr_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_4,type,
    'append$': ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_5,type,
    'cons$e': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_6,type,
    'cons$c': ( 'Nat_a_TESL_atomic_prod$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_a_TESL_atomic_prod_list$' ).

tff(func_def_7,type,
    'fun_app$z': ( 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' * 'A_constr_list$' ) > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_8,type,
    'pair$p': ( 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_a_TESL_atomic_list_prod$' ).

tff(func_def_9,type,
    'uuc$': 'A_TESL_atomic_list_set$' > 'A_TESL_atomic_list_bool_fun$' ).

tff(func_def_10,type,
    'lenlex$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_11,type,
    'collect$': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ).

tff(func_def_12,type,
    'collect$c': 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list_set$' ).

tff(func_def_13,type,
    'pair$s': ( 'A_TESL_atomic$' * 'A_constr$' ) > 'A_TESL_atomic_a_constr_prod$' ).

tff(func_def_14,type,
    'inf$d': ( 'A_TESL_atomic_list_set$' * 'A_TESL_atomic_list_set$' ) > 'A_TESL_atomic_list_set$' ).

tff(func_def_15,type,
    'symbolic_run_interpretation_primitive$': 'A_constr$' > 'A_run_set$' ).

tff(func_def_16,type,
    'subseqs$': 'A_constr_list$' > 'A_constr_list_list$' ).

tff(func_def_17,type,
    'pair$n': ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list_a_constr_list_prod$' ).

tff(func_def_18,type,
    'implies$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).

tff(func_def_19,type,
    'pair$j': ( 'A_constr_list_a_constr_list_bool_fun_fun$' * 'A_constr_list_list$' ) > 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' ).

tff(func_def_20,type,
    'pair$d': ( 'Nat$' * 'A_TESL_atomic$' ) > 'Nat_a_TESL_atomic_prod$' ).

tff(func_def_21,type,
    'pair$a': ( 'Nat$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_22,type,
    'rotate1$': 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_23,type,
    'operational_semantics_elim$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' ).

tff(func_def_24,type,
    'listrel1$b': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_25,type,
    'subseqs$a': 'A_TESL_atomic_list$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_26,type,
    'heronConf_interpretation$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_run_set$' ).

tff(func_def_27,type,
    'pair$l': ( 'Nat_nat_bool_fun_fun$' * 'Nat_list$' ) > 'Nat_nat_bool_fun_fun_nat_list_prod$' ).

tff(func_def_28,type,
    'fun_app$ad': ( 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_29,type,
    'pair$u': ( 'Nat_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' ).

tff(func_def_30,type,
    'uu$': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ).

tff(func_def_31,type,
    'gen_length$a': ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'Nat$' ).

tff(func_def_32,type,
    'ticks$': ( 'Clock$' * 'Nat$' ) > 'A_constr$' ).

tff(func_def_33,type,
    'n$': 'Nat$' ).

tff(func_def_34,type,
    'fun_app$g': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_35,type,
    'enumerate$': ( 'Nat$' * 'A_constr_list$' ) > 'Nat_a_constr_prod_list$' ).

tff(func_def_36,type,
    'enumerate$b': ( 'Nat$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_37,type,
    'size$': 'A_constr_list$' > 'Nat$' ).

tff(func_def_38,type,
    'notTicksFrom$': ( 'Clock$' * 'Nat$' ) > 'A_constr$' ).

tff(func_def_39,type,
    'pair$v': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' ).

tff(func_def_40,type,
    'size$b': 'A_TESL_atomic_list$' > 'Nat$' ).

tff(func_def_41,type,
    'uua$': 'A_TESL_atomic_set$' > 'A_TESL_atomic_bool_fun$' ).

tff(func_def_42,type,
    'rotate1$a': 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_43,type,
    'fun_app$p': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).

tff(func_def_44,type,
    'k_2$': 'Clock$' ).

tff(func_def_45,type,
    'sporadicOn$': ( 'Clock$' * 'A_tag_const$' * 'Clock$' ) > 'A_TESL_atomic$' ).

tff(func_def_46,type,
    'impliesNot$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).

tff(func_def_47,type,
    'inf$a': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ).

tff(func_def_48,type,
    'operational_semantics_step$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' ).

tff(func_def_49,type,
    'listrel1$': 'A_constr_a_constr_prod_set$' > 'A_constr_list_a_constr_list_prod_set$' ).

tff(func_def_50,type,
    'cons$h': ( 'Nat_a_TESL_atomic_prod_list$' * 'Nat_a_TESL_atomic_prod_list_list$' ) > 'Nat_a_TESL_atomic_prod_list_list$' ).

tff(func_def_51,type,
    'fun_app$s': ( 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_bool_fun$' ).

tff(func_def_52,type,
    'cons$k': ( 'Nat_list$' * 'Nat_list_list$' ) > 'Nat_list_list$' ).

tff(func_def_53,type,
    'of_nat$': 'Nat_int_fun$' ).

tff(func_def_54,type,
    'listrel$b': 'A_TESL_atomic_a_constr_prod_set$' > 'A_TESL_atomic_list_a_constr_list_prod_set$' ).

tff(func_def_55,type,
    'kills$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).

tff(func_def_56,type,
    'operational_semantics_intro$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' ).

tff(func_def_57,type,
    'pair$i': ( 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' ).

tff(func_def_58,type,
    'size$a': 'A_TESL_atomic_list_list$' > 'Nat$' ).

tff(func_def_59,type,
    'fun_app$u': ( 'A_constr_list_a_constr_list_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_60,type,
    'pair$h': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' ).

tff(func_def_61,type,
    'accp$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' ).

tff(func_def_62,type,
    'fun_app$q': ( 'A_constr_list_a_constr_list_bool_fun_fun$' * 'A_constr_list$' ) > 'A_constr_list_bool_fun$' ).

tff(func_def_63,type,
    'set$a': 'A_TESL_atomic_list$' > 'A_TESL_atomic_set$' ).

tff(func_def_64,type,
    'nil$a': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ).

tff(func_def_65,type,
    'the_elem$': 'A_constr_set$' > 'A_constr$' ).

tff(func_def_66,type,
    'inf$': 'A_run_set_a_run_set_a_run_set_fun_fun$' ).

tff(func_def_67,type,
    'pair$e': ( 'A_constr_a_constr_bool_fun_fun$' * 'A_constr_list$' ) > 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' ).

tff(func_def_68,type,
    'append$b': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_69,type,
    'inf$e': 'Int_int_int_fun_fun$' ).

tff(func_def_70,type,
    'collect$a': 'A_TESL_atomic_bool_fun$' > 'A_TESL_atomic_set$' ).

tff(func_def_71,type,
    'nil$': 'A_TESL_atomic_list$' ).

tff(func_def_72,type,
    'operational_semantics_elim_inv$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' ).

tff(func_def_73,type,
    'listrel$a': 'A_constr_a_TESL_atomic_prod_set$' > 'A_constr_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_74,type,
    'nil$c': 'Nat_a_TESL_atomic_prod_list_list$' ).

tff(func_def_75,type,
    'tESL_interpretation_atomic_stepwise$': ( 'A_TESL_atomic$' * 'Nat$' ) > 'A_run_set$' ).

tff(func_def_76,type,
    'lex$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).

tff(func_def_77,type,
    'consistent_context$': 'A_constr_list_bool_fun$' ).

tff(func_def_78,type,
    'cons$g': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ).

tff(func_def_79,type,
    'listrel$': 'A_constr_a_constr_prod_set$' > 'A_constr_list_a_constr_list_prod_set$' ).

tff(func_def_80,type,
    'fun_app$x': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).

tff(func_def_81,type,
    'listrel$d': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ).

tff(func_def_82,type,
    'listrel$e': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).

tff(func_def_83,type,
    'uud$': 'A_run_set$' > 'A_run_bool_fun$' ).

tff(func_def_84,type,
    'fun_app$ae': ( 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_85,type,
    'cons$l': ( 'Nat_a_constr_prod$' * 'Nat_a_constr_prod_list$' ) > 'Nat_a_constr_prod_list$' ).

tff(func_def_86,type,
    'psi$': 'A_TESL_atomic_list$' ).

tff(func_def_87,type,
    'lex$b': 'A_constr_a_constr_prod_set$' > 'A_constr_list_a_constr_list_prod_set$' ).

tff(func_def_88,type,
    'collect$b': 'A_constr_list_bool_fun$' > 'A_constr_list_set$' ).

tff(func_def_89,type,
    'nil$i': 'Nat_list_list$' ).

tff(func_def_90,type,
    'gamma$': 'A_constr_list$' ).

tff(func_def_91,type,
    'timeDelayedBy$': ( 'Clock$' * 'A_tag_const$' * 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).

tff(func_def_92,type,
    'nil$b': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_93,type,
    'fun_app$e': ( 'A_run_set_a_run_set_fun$' * 'A_run_set$' ) > 'A_run_set$' ).

tff(func_def_94,type,
    'pair$b': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_95,type,
    'cons$a': ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_96,type,
    'cons$d': ( 'A_constr_list$' * 'A_constr_list_list$' ) > 'A_constr_list_list$' ).

tff(func_def_97,type,
    'set$': 'A_constr_list$' > 'A_constr_set$' ).

tff(func_def_98,type,
    'insert$a': 'A_TESL_atomic$' > 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).

tff(func_def_99,type,
    'uub$': 'A_constr_list_set$' > 'A_constr_list_bool_fun$' ).

tff(func_def_100,type,
    'pair$c': ( 'Nat$' * 'A_constr$' ) > 'Nat_a_constr_prod$' ).

tff(func_def_101,type,
    'cons$b': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_102,type,
    'sup$': 'A_run_set_a_run_set_a_run_set_fun_fun$' ).

tff(func_def_103,type,
    'cons$i': ( 'A_constr_list_list$' * 'A_constr_list_list_list$' ) > 'A_constr_list_list_list$' ).

tff(func_def_104,type,
    'timeDelay$': ( 'Clock$' * 'Nat$' * 'A_tag_const$' * 'Clock$' ) > 'A_constr$' ).

tff(func_def_105,type,
    'gen_length$': ( 'Nat$' * 'A_constr_list$' ) > 'Nat$' ).

tff(func_def_106,type,
    'lenlex$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).

tff(func_def_107,type,
    'pair$f': ( 'A_TESL_atomic_a_TESL_atomic_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_108,type,
    'pair$w': ( 'A_TESL_atomic$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_a_TESL_atomic_prod$' ).

tff(func_def_109,type,
    'nil$l': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).

tff(func_def_110,type,
    'context_independency$': 'A_constr$' > 'A_constr_list_bool_fun$' ).

tff(func_def_111,type,
    'lex$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_112,type,
    'listrel$f': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_113,type,
    'pair$m': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic_list_nat_prod$' ).

tff(func_def_114,type,
    'nil$f': 'A_constr_list_list$' ).

tff(func_def_115,type,
    'collect$d': 'A_run_bool_fun$' > 'A_run_set$' ).

tff(func_def_116,type,
    'tau$': 'A_tag_const$' ).

tff(func_def_117,type,
    'insert$': 'A_constr$' > 'A_constr_list_a_constr_list_fun$' ).

tff(func_def_118,type,
    'partition$': ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_119,type,
    'set$b': 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_set$' ).

tff(func_def_120,type,
    'fun_app$ag': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_121,type,
    'fun_app$t': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).

tff(func_def_122,type,
    'nil$k': 'A_constr_list$' ).

tff(func_def_123,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_124,type,
    'pair$t': ( 'A_constr_list_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' ).

tff(func_def_125,type,
    'pair$o': ( 'A_constr$' * 'A_constr$' ) > 'A_constr_a_constr_prod$' ).

tff(func_def_126,type,
    'append$a': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_127,type,
    'sup$b': ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > 'A_TESL_atomic_set$' ).

tff(func_def_128,type,
    'inf$b': ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > 'A_TESL_atomic_set$' ).

tff(func_def_129,type,
    'notTicks$': ( 'Clock$' * 'Nat$' ) > 'A_constr$' ).

tff(func_def_130,type,
    'listrel1$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).

tff(func_def_131,type,
    'pair$r': ( 'A_TESL_atomic_list$' * 'A_constr_list$' ) > 'A_TESL_atomic_list_a_constr_list_prod$' ).

tff(func_def_132,type,
    'fun_app$ab': ( 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' * 'A_constr_list$' ) > 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_133,type,
    'inf$c': ( 'A_constr_list_set$' * 'A_constr_list_set$' ) > 'A_constr_list_set$' ).

tff(func_def_134,type,
    'pair$g': ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ).

tff(func_def_135,type,
    'tESL_interpretation_stepwise$': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_run_set$' ).

tff(func_def_136,type,
    'fun_app$f': ( 'A_run_set_a_run_set_a_run_set_fun_fun$' * 'A_run_set$' ) > 'A_run_set_a_run_set_fun$' ).

tff(func_def_137,type,
    'cons$m': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).

tff(func_def_138,type,
    'tESL_interpretation$': 'A_TESL_atomic_list$' > 'A_run_set$' ).

tff(func_def_139,type,
    'timestamp$': ( 'Clock$' * 'Nat$' * 'A_tag_const$' ) > 'A_constr$' ).

tff(func_def_140,type,
    'cons$f': ( 'Nat$' * 'Nat_list$' ) > 'Nat_list$' ).

tff(func_def_141,type,
    'fun_app$v': ( 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_142,type,
    'lexord$': 'A_constr_a_constr_prod_set$' > 'A_constr_list_a_constr_list_prod_set$' ).

tff(func_def_143,type,
    'enumerate$a': ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'Nat_a_TESL_atomic_prod_list$' ).

tff(func_def_144,type,
    'k_1$': 'Clock$' ).

tff(func_def_145,type,
    'set$c': 'A_constr_list_list$' > 'A_constr_list_set$' ).

tff(func_def_146,type,
    'listrel$c': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' > 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$' ).

tff(func_def_147,type,
    'fun_app$af': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_148,type,
    'fun_app$aa': ( 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_constr_list$' ) > 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_149,type,
    'phi$': 'A_TESL_atomic_list$' ).

tff(func_def_150,type,
    'nil$g': 'A_TESL_atomic_list_list_list$' ).

tff(func_def_151,type,
    'fun_app$r': ( 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_constr_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).

tff(func_def_152,type,
    'cons$': ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_153,type,
    'nil$d': 'Nat_a_TESL_atomic_prod_list$' ).

tff(func_def_154,type,
    'pair$q': ( 'A_constr$' * 'A_TESL_atomic$' ) > 'A_constr_a_TESL_atomic_prod$' ).

tff(func_def_155,type,
    'lexord$a': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).

tff(func_def_156,type,
    'fun_app$o': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_157,type,
    'nil$h': 'A_TESL_atomic_list_list$' ).

tff(func_def_158,type,
    'cons$j': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list_list$' ) > 'A_TESL_atomic_list_list_list$' ).

tff(func_def_159,type,
    'heronConf_interpretation_rel$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$' ).

tff(func_def_160,type,
    'the_elem$a': 'A_TESL_atomic_set$' > 'A_TESL_atomic$' ).

tff(func_def_161,type,
    'sup$a': 'Int_int_int_fun_fun$' ).

tff(func_def_162,type,
    'lexord$b': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).

tff(func_def_163,type,
    'nil$e': 'A_constr_list_list_list$' ).

tff(func_def_164,type,
    'symbolic_run_interpretation$': 'A_constr_list$' > 'A_run_set$' ).

tff(func_def_168,type,
    sK12: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_169,type,
    sK13: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_170,type,
    sK14: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_171,type,
    sK15: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_172,type,
    sK16: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_173,type,
    sK17: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_174,type,
    sK18: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_175,type,
    sK19: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_176,type,
    sK20: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_177,type,
    sK21: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_178,type,
    sK22: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_179,type,
    sK23: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_180,type,
    sK24: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_181,type,
    sK25: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_constr_list$' ).

tff(func_def_182,type,
    sK26: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'Nat$' ).

tff(func_def_183,type,
    sK27: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_184,type,
    sK28: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_185,type,
    sK29: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_186,type,
    sK30: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_187,type,
    sK31: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_188,type,
    sK32: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_189,type,
    sK33: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_190,type,
    sK34: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_191,type,
    sK35: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_192,type,
    sK36: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' * 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_193,type,
    sK37: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' * 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_194,type,
    sK38: ( 'A_constr_a_constr_prod_set$' * 'A_constr_list$' * 'A_constr_list$' * 'A_constr$' ) > 'A_constr$' ).

tff(func_def_195,type,
    sK39: ( 'A_constr_a_constr_prod_set$' * 'A_constr_list$' * 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_196,type,
    sK40: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_list$' * 'Nat$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_197,type,
    sK41: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_list$' * 'Nat$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).

tff(func_def_198,type,
    sK42: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_199,type,
    sK43: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_200,type,
    sK44: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_201,type,
    sK45: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_202,type,
    sK46: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_203,type,
    sK47: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_204,type,
    sK48: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list_list$' ).

tff(func_def_205,type,
    sK49: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_206,type,
    sK50: ( 'A_constr_list$' * 'A_constr$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_207,type,
    sK51: ( 'A_constr_list$' * 'A_constr$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_208,type,
    sK52: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_constr$' * 'A_constr_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_209,type,
    sK53: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_constr$' * 'A_constr_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_210,type,
    sK54: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_211,type,
    sK55: ( 'A_run_set$' * 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).

tff(func_def_212,type,
    sK56: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_213,type,
    sK57: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_214,type,
    sK58: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_215,type,
    sK59: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_216,type,
    sK60: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_217,type,
    sK61: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic$' ).

tff(func_def_218,type,
    sK62: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_219,type,
    sK63: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic$' ).

tff(func_def_220,type,
    sK64: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_221,type,
    sK65: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_222,type,
    sK66: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list$' ).

tff(func_def_223,type,
    sK67: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list_list$' ).

tff(func_def_224,type,
    sK68: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_225,type,
    sK69: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).

tff(func_def_226,type,
    sK70: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).

tff(func_def_227,type,
    sK71: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic$' ).

tff(func_def_228,type,
    sK72: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_229,type,
    sK73: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_230,type,
    sK74: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_231,type,
    sK75: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_232,type,
    sK76: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_233,type,
    sK77: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_234,type,
    sK78: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_235,type,
    sK79: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).

tff(func_def_236,type,
    sK80: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_237,type,
    sK81: ( 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_238,type,
    sK82: ( 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list$' ).

tff(func_def_239,type,
    sK83: ( 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_240,type,
    sK84: ( 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list_list$' ).

tff(func_def_241,type,
    sK85: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_242,type,
    sK86: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_243,type,
    sK87: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_244,type,
    sK88: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_245,type,
    sK89: 'Nat$' > 'Nat$' ).

tff(func_def_246,type,
    sK90: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_247,type,
    sK91: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_248,type,
    sK92: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_249,type,
    sK93: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_250,type,
    sK94: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_251,type,
    sK95: 'A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_252,type,
    sK96: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_253,type,
    sK97: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_254,type,
    sK98: ( 'A_constr$' * 'A_constr_list$' * 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_255,type,
    sK99: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_256,type,
    sK100: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_257,type,
    sK101: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_258,type,
    sK102: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_259,type,
    sK103: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_260,type,
    sK104: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_261,type,
    sK105: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_262,type,
    sK106: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_263,type,
    sK107: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_264,type,
    sK108: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_265,type,
    sK109: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_266,type,
    sK110: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_267,type,
    sK111: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_268,type,
    sK112: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_269,type,
    sK113: ( 'A_constr_a_TESL_atomic_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_270,type,
    sK114: ( 'A_constr_a_TESL_atomic_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_constr_list$' ).

tff(func_def_271,type,
    sK115: ( 'A_constr_a_TESL_atomic_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_272,type,
    sK116: ( 'A_constr_a_TESL_atomic_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_constr$' ).

tff(func_def_273,type,
    sK117: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_274,type,
    sK118: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_275,type,
    sK119: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_276,type,
    sK120: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_277,type,
    sK121: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_278,type,
    sK122: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_279,type,
    sK123: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_280,type,
    sK124: 'Nat_a_TESL_atomic_prod_list_list$' > 'Nat_a_TESL_atomic_prod$' ).

tff(func_def_281,type,
    sK125: 'Nat_a_TESL_atomic_prod_list_list$' > 'Nat_a_TESL_atomic_prod_list_list$' ).

tff(func_def_282,type,
    sK126: 'Nat_a_TESL_atomic_prod_list_list$' > 'Nat_a_TESL_atomic_prod_list$' ).

tff(func_def_283,type,
    sK127: 'Nat_a_TESL_atomic_prod_list_list$' > 'Nat_a_TESL_atomic_prod_list_list$' ).

tff(func_def_284,type,
    sK128: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_285,type,
    sK129: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_286,type,
    sK130: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_287,type,
    sK131: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_288,type,
    sK132: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_289,type,
    sK133: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_290,type,
    sK134: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_291,type,
    sK135: 'Nat_a_constr_prod$' > 'Nat$' ).

tff(func_def_292,type,
    sK136: 'Nat_a_constr_prod$' > 'A_constr$' ).

tff(func_def_293,type,
    sK137: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_294,type,
    sK138: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_295,type,
    sK139: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_296,type,
    sK140: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_297,type,
    sK141: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_298,type,
    sK142: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_299,type,
    sK143: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_300,type,
    sK144: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_301,type,
    sK145: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_302,type,
    sK146: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_303,type,
    sK147: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_304,type,
    sK148: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_305,type,
    sK149: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_306,type,
    sK150: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_307,type,
    sK151: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_308,type,
    sK152: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_309,type,
    sK153: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_310,type,
    sK154: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).

tff(func_def_311,type,
    sK155: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_312,type,
    sK156: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_313,type,
    sK157: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_314,type,
    sK158: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_315,type,
    sK159: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_316,type,
    sK160: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_317,type,
    sK161: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_318,type,
    sK162: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_319,type,
    sK163: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_320,type,
    sK164: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_321,type,
    sK165: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).

tff(func_def_322,type,
    sK166: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_323,type,
    sK167: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_324,type,
    sK168: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_325,type,
    sK169: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_326,type,
    sK170: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_327,type,
    sK171: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_328,type,
    sK172: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_329,type,
    sK173: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_list$' ).

tff(func_def_330,type,
    sK174: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat$' ).

tff(func_def_331,type,
    sK175: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_332,type,
    sK176: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_333,type,
    sK177: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_334,type,
    sK178: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_335,type,
    sK179: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_336,type,
    sK180: 'A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_337,type,
    sK181: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_338,type,
    sK182: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_339,type,
    sK183: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).

tff(func_def_340,type,
    sK184: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_341,type,
    sK185: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic$' ).

tff(func_def_342,type,
    sK186: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_343,type,
    sK187: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic$' ).

tff(func_def_344,type,
    sK188: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_345,type,
    sK189: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_346,type,
    sK190: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic$' ).

tff(func_def_347,type,
    sK191: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_348,type,
    sK192: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_349,type,
    sK193: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_350,type,
    sK194: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_351,type,
    sK195: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_352,type,
    sK196: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_353,type,
    sK197: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_354,type,
    sK198: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_355,type,
    sK199: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_356,type,
    sK200: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_357,type,
    sK201: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_358,type,
    sK202: 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_359,type,
    sK203: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_360,type,
    sK204: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_361,type,
    sK205: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_362,type,
    sK206: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_363,type,
    sK207: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_364,type,
    sK208: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_365,type,
    sK209: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_366,type,
    sK210: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_367,type,
    sK211: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_368,type,
    sK212: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).

tff(func_def_369,type,
    sK213: 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' > 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$' ).

tff(func_def_370,type,
    sK214: 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' > 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$' ).

tff(func_def_371,type,
    sK215: 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' > 'Nat_a_TESL_atomic_prod_list$' ).

tff(func_def_372,type,
    sK216: 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' > 'Nat_a_TESL_atomic_prod$' ).

tff(func_def_373,type,
    sK217: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_374,type,
    sK218: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat$' ).

tff(func_def_375,type,
    sK219: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).

tff(func_def_376,type,
    sK220: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat_list$' ).

tff(func_def_377,type,
    sK221: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_378,type,
    sK222: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_379,type,
    sK223: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_380,type,
    sK224: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_381,type,
    sK225: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).

tff(func_def_382,type,
    sK226: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).

tff(func_def_383,type,
    sK227: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_384,type,
    sK228: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_385,type,
    sK229: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_386,type,
    sK230: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_387,type,
    sK231: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_388,type,
    sK232: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_389,type,
    sK233: 'A_run_set$' ).

tff(func_def_390,type,
    sK234: 'A_run_set$' ).

tff(func_def_391,type,
    sK235: 'A_run_set$' ).

tff(func_def_392,type,
    sK236: ( 'A_TESL_atomic$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_393,type,
    sK237: ( 'A_TESL_atomic$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_394,type,
    sK238: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_395,type,
    sK239: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_396,type,
    sK240: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_397,type,
    sK241: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_398,type,
    sK242: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_399,type,
    sK243: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_400,type,
    sK244: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_401,type,
    sK245: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_402,type,
    sK246: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_403,type,
    sK247: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_404,type,
    sK248: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_405,type,
    sK249: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_406,type,
    sK250: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_407,type,
    sK251: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_408,type,
    sK252: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_409,type,
    sK253: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_410,type,
    sK254: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_411,type,
    sK255: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_412,type,
    sK256: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_413,type,
    sK257: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_414,type,
    sK258: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_415,type,
    sK259: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_416,type,
    sK260: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_417,type,
    sK261: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_418,type,
    sK262: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_419,type,
    sK263: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_420,type,
    sK264: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_421,type,
    sK265: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_422,type,
    sK266: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list$' ).

tff(func_def_423,type,
    sK267: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_list$' ).

tff(func_def_424,type,
    sK268: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_425,type,
    sK269: 'A_TESL_atomic_list_list_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_426,type,
    sK270: 'A_TESL_atomic_list_list_list$' > 'A_TESL_atomic_list_list_list$' ).

tff(func_def_427,type,
    sK271: 'A_TESL_atomic_list_list_list$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_428,type,
    sK272: 'A_TESL_atomic_list_list_list$' > 'A_TESL_atomic_list_list_list$' ).

tff(func_def_429,type,
    sK273: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_430,type,
    sK274: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).

tff(func_def_431,type,
    sK275: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_432,type,
    sK276: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).

tff(func_def_433,type,
    sK277: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_434,type,
    sK278: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).

tff(func_def_435,type,
    sK279: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_436,type,
    sK280: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).

tff(func_def_437,type,
    sK281: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_438,type,
    sK282: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_439,type,
    sK283: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_440,type,
    sK284: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_441,type,
    sK285: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_442,type,
    sK286: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_443,type,
    sK287: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_444,type,
    sK288: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_445,type,
    sK289: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_446,type,
    sK290: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_447,type,
    sK291: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_448,type,
    sK292: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_449,type,
    sK293: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_450,type,
    sK294: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_451,type,
    sK295: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_452,type,
    sK296: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_453,type,
    sK297: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_454,type,
    sK298: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_455,type,
    sK299: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_456,type,
    sK300: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_457,type,
    sK301: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_458,type,
    sK302: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_459,type,
    sK303: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_460,type,
    sK304: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_list$' * 'A_constr_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_461,type,
    sK305: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_list$' * 'A_constr_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_462,type,
    sK306: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_463,type,
    sK307: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_464,type,
    sK308: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_465,type,
    sK309: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_466,type,
    sK310: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_467,type,
    sK311: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_468,type,
    sK312: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_469,type,
    sK313: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_470,type,
    sK314: 'A_constr_list_list_list$' > 'A_constr_list_list_list$' ).

tff(func_def_471,type,
    sK315: 'A_constr_list_list_list$' > 'A_constr_list$' ).

tff(func_def_472,type,
    sK316: 'A_constr_list_list_list$' > 'A_constr_list_list_list$' ).

tff(func_def_473,type,
    sK317: 'A_constr_list_list_list$' > 'A_constr_list_list$' ).

tff(func_def_474,type,
    sK318: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list$' ).

tff(func_def_475,type,
    sK319: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_476,type,
    sK320: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list$' ).

tff(func_def_477,type,
    sK321: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list$' ).

tff(func_def_478,type,
    sK322: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_list$' ).

tff(func_def_479,type,
    sK323: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_480,type,
    sK324: 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' > 'A_constr_list_a_constr_list_bool_fun_fun$' ).

tff(func_def_481,type,
    sK325: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_482,type,
    sK326: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_483,type,
    sK327: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_484,type,
    sK328: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_485,type,
    sK329: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_486,type,
    sK330: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_487,type,
    sK331: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_488,type,
    sK332: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).

tff(func_def_489,type,
    sK333: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_490,type,
    sK334: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_491,type,
    sK335: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic$' ).

tff(func_def_492,type,
    sK336: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_493,type,
    sK337: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_494,type,
    sK338: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_495,type,
    sK339: 'Nat_a_constr_prod_bool_fun$' > 'Nat$' ).

tff(func_def_496,type,
    sK340: 'Nat_a_constr_prod_bool_fun$' > 'A_constr$' ).

tff(func_def_497,type,
    sK341: ( 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_constr_list$' ).

tff(func_def_498,type,
    sK342: ( 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_499,type,
    sK343: ( 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_500,type,
    sK344: ( 'A_TESL_atomic_a_constr_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > 'A_constr$' ).

tff(func_def_501,type,
    sK345: 'A_constr_list_bool_fun$' > 'A_constr$' ).

tff(func_def_502,type,
    sK346: 'A_constr_list_bool_fun$' > 'A_constr_list$' ).

tff(func_def_503,type,
    sK347: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_504,type,
    sK348: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_505,type,
    sK349: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_506,type,
    sK350: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_507,type,
    sK351: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_508,type,
    sK352: 'A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_509,type,
    sK353: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_510,type,
    sK354: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_511,type,
    sK355: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_512,type,
    sK356: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_513,type,
    sK357: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_514,type,
    sK358: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_515,type,
    sK359: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_516,type,
    sK360: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_517,type,
    sK361: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_518,type,
    sK362: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_519,type,
    sK363: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_520,type,
    sK364: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_521,type,
    sK365: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_522,type,
    sK366: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_523,type,
    sK367: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_524,type,
    sK368: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_525,type,
    sK369: ( 'A_constr$' * 'A_constr_list$' ) > 'Clock$' ).

tff(func_def_526,type,
    sK370: ( 'A_constr$' * 'A_constr_list$' ) > 'Nat$' ).

tff(func_def_527,type,
    sK371: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_528,type,
    sK372: ( 'Nat$' * 'A_tag_const$' * 'Clock$' * 'A_constr_list$' ) > 'A_tag_const$' ).

tff(func_def_529,type,
    sK373: ( 'A_constr_list$' * 'A_constr$' ) > 'Nat$' ).

tff(func_def_530,type,
    sK374: ( 'A_constr_list$' * 'A_constr$' ) > 'A_tag_const$' ).

tff(func_def_531,type,
    sK375: ( 'A_constr_list$' * 'A_constr$' ) > 'Clock$' ).

tff(func_def_532,type,
    sK376: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_533,type,
    sK377: ( 'A_constr_list$' * 'A_constr$' ) > 'Clock$' ).

tff(func_def_534,type,
    sK378: ( 'A_constr_list$' * 'A_constr$' ) > 'Nat$' ).

tff(func_def_535,type,
    sK379: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_536,type,
    sK380: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_537,type,
    sK381: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_538,type,
    sK382: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_539,type,
    sK383: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_540,type,
    sK384: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_541,type,
    sK385: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_542,type,
    sK386: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_543,type,
    sK387: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_544,type,
    sK388: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_545,type,
    sK389: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_546,type,
    sK390: 'A_constr_list$' > 'A_constr_list$' ).

tff(func_def_547,type,
    sK391: 'A_constr_list$' > 'A_constr$' ).

tff(func_def_548,type,
    sK392: ( 'A_tag_const$' * 'Nat$' * 'Clock$' * 'A_constr_list$' ) > 'A_tag_const$' ).

tff(func_def_549,type,
    sK393: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_550,type,
    sK394: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_551,type,
    sK395: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_552,type,
    sK396: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_553,type,
    sK397: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_554,type,
    sK398: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr$' ).

tff(func_def_555,type,
    sK399: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_556,type,
    sK400: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_557,type,
    sK401: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat$' ).

tff(func_def_558,type,
    sK402: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_559,type,
    sK403: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_list$' ).

tff(func_def_560,type,
    sK404: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat$' ).

tff(func_def_561,type,
    sK405: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat_nat_bool_fun_fun$' ).

tff(func_def_562,type,
    sK406: 'Nat_nat_bool_fun_fun_nat_list_prod$' > 'Nat$' ).

tff(func_def_563,type,
    sK407: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_564,type,
    sK408: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_565,type,
    sK409: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$' > 'A_constr_list$' ).

tff(func_def_566,type,
    sK410: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_567,type,
    sK411: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_568,type,
    sK412: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_569,type,
    sK413: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_570,type,
    sK414: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_571,type,
    sK415: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_572,type,
    sK416: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_573,type,
    sK417: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_574,type,
    sK418: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_575,type,
    sK419: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_576,type,
    sK420: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).

tff(func_def_577,type,
    sK421: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_578,type,
    sK422: ( 'A_constr_list$' * 'A_constr$' ) > 'Nat$' ).

tff(func_def_579,type,
    sK423: ( 'A_constr_list$' * 'A_constr$' ) > 'Clock$' ).

tff(func_def_580,type,
    sK424: ( 'A_constr_list$' * 'A_constr$' ) > 'A_tag_const$' ).

tff(func_def_581,type,
    sK425: ( 'A_constr$' * 'A_constr_list$' ) > 'Clock$' ).

tff(func_def_582,type,
    sK426: ( 'A_constr$' * 'A_constr_list$' ) > 'Nat$' ).

tff(func_def_583,type,
    sK427: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_584,type,
    sK428: ( 'A_constr_list$' * 'A_constr$' ) > 'Nat$' ).

tff(func_def_585,type,
    sK429: ( 'A_constr_list$' * 'A_constr$' ) > 'Clock$' ).

tff(func_def_586,type,
    sK430: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_587,type,
    sK431: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_588,type,
    sK432: ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_589,type,
    sK433: ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_590,type,
    sK434: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_591,type,
    sK435: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_592,type,
    sK436: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_593,type,
    sK437: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_594,type,
    sK438: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_595,type,
    sK439: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_596,type,
    sK440: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_597,type,
    sK441: 'Nat_a_TESL_atomic_prod$' > 'Nat$' ).

tff(func_def_598,type,
    sK442: 'Nat_a_TESL_atomic_prod$' > 'A_TESL_atomic$' ).

tff(func_def_599,type,
    sK443: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).

tff(func_def_600,type,
    sK444: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).

tff(func_def_601,type,
    sK445: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_602,type,
    sK446: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_603,type,
    sK447: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_604,type,
    sK448: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_605,type,
    sK449: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_606,type,
    sK450: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_607,type,
    sK451: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_608,type,
    sK452: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_609,type,
    sK453: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_610,type,
    sK454: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).

tff(func_def_611,type,
    sK455: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).

tff(func_def_612,type,
    sK456: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_613,type,
    sK457: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_614,type,
    sK458: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_615,type,
    sK459: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_616,type,
    sK460: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_617,type,
    sK461: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_618,type,
    sK462: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_619,type,
    sK463: 'A_constr_list_bool_fun$' > 'A_constr$' ).

tff(func_def_620,type,
    sK464: 'A_constr_list_bool_fun$' > 'A_constr_list$' ).

tff(func_def_621,type,
    sK465: 'A_constr_list_bool_fun$' > 'A_constr$' ).

tff(func_def_622,type,
    sK466: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_623,type,
    sK467: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_624,type,
    sK468: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_625,type,
    sK469: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_626,type,
    sK470: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_627,type,
    sK471: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_628,type,
    sK472: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).

tff(func_def_629,type,
    sK473: 'A_constr_list_bool_fun$' > 'A_constr_list$' ).

tff(func_def_630,type,
    sK474: 'A_constr_list_bool_fun$' > 'A_constr$' ).

tff(func_def_631,type,
    sK475: 'A_constr_list_bool_fun$' > 'A_constr$' ).

tff(func_def_632,type,
    sK476: 'Nat_a_constr_prod$' > 'A_constr$' ).

tff(func_def_633,type,
    sK477: 'Nat_a_constr_prod$' > 'Nat$' ).

tff(func_def_634,type,
    sK478: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_635,type,
    sK479: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_636,type,
    sK480: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr$' ).

tff(func_def_637,type,
    sK481: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_638,type,
    sK482: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_639,type,
    sK483: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_640,type,
    sK484: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_641,type,
    sK485: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_642,type,
    sK486: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_643,type,
    sK487: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_644,type,
    sK488: 'A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_645,type,
    sK489: ( 'A_constr$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_646,type,
    sK490: ( 'A_constr$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_647,type,
    sK491: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).

tff(func_def_648,type,
    sK492: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_649,type,
    sK493: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_650,type,
    sK494: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_651,type,
    sK495: ( 'A_constr_list$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_652,type,
    sK496: ( 'A_constr_list$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_653,type,
    sK497: ( 'A_constr_list$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_constr$' ).

tff(func_def_654,type,
    sK498: ( 'A_constr_list$' * 'A_constr_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_constr_list$' ).

tff(func_def_655,type,
    sK499: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_656,type,
    sK500: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_657,type,
    sK501: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).

tff(func_def_658,type,
    sK502: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_659,type,
    sK503: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_660,type,
    sK504: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).

tff(func_def_661,type,
    sK505: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_662,type,
    sK506: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).

tff(func_def_663,type,
    sK507: ( 'A_constr_list$' * 'Nat$' ) > 'A_constr$' ).

tff(func_def_664,type,
    sK508: ( 'A_constr_list$' * 'Nat$' ) > 'A_constr_list$' ).

tff(func_def_665,type,
    sK509: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ).

tff(func_def_666,type,
    sK510: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).

tff(func_def_667,type,
    sK511: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ).

tff(func_def_668,type,
    sK512: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).

tff(func_def_669,type,
    sK513: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_670,type,
    sK514: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_671,type,
    sK515: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_672,type,
    sK516: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_673,type,
    sK517: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_674,type,
    sK518: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_675,type,
    sK519: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_676,type,
    sK520: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_677,type,
    sK521: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_678,type,
    sK522: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_679,type,
    sK523: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_680,type,
    sK524: 'A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_681,type,
    sK525: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_682,type,
    sK526: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_683,type,
    sK527: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_684,type,
    sK528: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_685,type,
    sK529: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic$' ).

tff(func_def_686,type,
    sK530: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list$' ).

tff(func_def_687,type,
    sK531: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_688,type,
    sK532: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_689,type,
    sK533: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_690,type,
    sK534: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_691,type,
    sK535: ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_692,type,
    sK536: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_693,type,
    sK537: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_694,type,
    sK538: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_695,type,
    sK539: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_696,type,
    sK540: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_697,type,
    sK541: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_698,type,
    sK542: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_699,type,
    sK543: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_700,type,
    sK544: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' * 'A_constr$' ) > 'A_constr$' ).

tff(func_def_701,type,
    sK545: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_702,type,
    sK546: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).

tff(func_def_703,type,
    sK547: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat$' ).

tff(func_def_704,type,
    sK548: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat_list$' ).

tff(func_def_705,type,
    sK549: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).

tff(func_def_706,type,
    sK550: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_707,type,
    sK551: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_708,type,
    sK552: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_709,type,
    sK553: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).

tff(func_def_710,type,
    sK554: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_711,type,
    sK555: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_712,type,
    sK556: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_list$' ) > 'Nat$' ).

tff(func_def_713,type,
    sK557: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_list$' ) > 'Nat_list$' ).

tff(func_def_714,type,
    sK558: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_715,type,
    sK559: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_716,type,
    sK560: 'Nat_a_TESL_atomic_prod_bool_fun$' > 'Nat$' ).

tff(func_def_717,type,
    sK561: 'Nat_a_TESL_atomic_prod_bool_fun$' > 'A_TESL_atomic$' ).

tff(func_def_718,type,
    sK562: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_719,type,
    sK563: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_720,type,
    sK564: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_721,type,
    sK565: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_722,type,
    sK566: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_723,type,
    sK567: 'A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_724,type,
    sK568: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_725,type,
    sK569: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_726,type,
    sK570: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_TESL_atomic$' ).

tff(func_def_727,type,
    sK571: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_728,type,
    sK572: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_729,type,
    sK573: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_730,type,
    sK574: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_731,type,
    sK575: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_732,type,
    sK576: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_733,type,
    sK577: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_734,type,
    sK578: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_735,type,
    sK579: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_736,type,
    sK580: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_737,type,
    sK581: ( 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_738,type,
    sK582: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_739,type,
    sK583: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_740,type,
    sK584: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_741,type,
    sK585: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_742,type,
    sK586: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_743,type,
    sK587: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic$' ).

tff(func_def_744,type,
    sK588: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).

tff(func_def_745,type,
    sK589: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_746,type,
    sK590: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).

tff(func_def_747,type,
    sK591: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_748,type,
    sK592: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr$' ).

tff(func_def_749,type,
    sK593: ( 'A_constr_list$' * 'A_constr_bool_fun$' ) > 'A_constr_list$' ).

tff(func_def_750,type,
    sK594: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_751,type,
    sK595: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_752,type,
    sK596: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_753,type,
    sK597: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_754,type,
    sK598: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_755,type,
    sK599: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_756,type,
    sK600: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_757,type,
    sK601: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_758,type,
    sK602: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_759,type,
    sK603: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).

tff(func_def_760,type,
    sK604: 'A_run_set$' ).

tff(func_def_761,type,
    sK605: 'A_run_set$' ).

tff(func_def_762,type,
    sK606: 'A_run_set$' ).

tff(func_def_763,type,
    sK607: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_764,type,
    sK608: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_765,type,
    sK609: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_766,type,
    sK610: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_767,type,
    sK611: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_list$' ).

tff(func_def_768,type,
    sK612: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).

tff(func_def_769,type,
    sK613: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_770,type,
    sK614: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_771,type,
    sK615: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).

tff(func_def_772,type,
    sK616: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_773,type,
    sK617: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_774,type,
    sK618: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_775,type,
    sK619: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_776,type,
    sK620: ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_777,type,
    sK621: ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_778,type,
    sK622: ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_779,type,
    sK623: ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_780,type,
    sK624: ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_781,type,
    sK625: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_782,type,
    sK626: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'Nat$' ).

tff(func_def_783,type,
    sK627: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_constr_list$' ).

tff(func_def_784,type,
    sK628: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_785,type,
    sK629: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_786,type,
    sK630: ( 'A_constr_list$' * 'A_constr$' ) > 'A_constr_list$' ).

tff(func_def_787,type,
    sK631: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_788,type,
    sK632: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_789,type,
    sK633: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_790,type,
    sK634: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_791,type,
    sK635: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_792,type,
    sK636: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_793,type,
    sK637: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_794,type,
    sK638: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_bool_fun$' ) > 'A_TESL_atomic$' ).

tff(func_def_795,type,
    sK639: 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic$' ).

tff(func_def_796,type,
    sK640: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).

tff(func_def_797,type,
    sK641: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).

tff(func_def_798,type,
    sK642: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_799,type,
    sK643: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_800,type,
    sK644: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_801,type,
    sK645: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_802,type,
    sK646: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic$' ).

tff(func_def_803,type,
    sK647: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr$' ).

tff(func_def_804,type,
    sK648: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_constr_list$' ).

tff(func_def_805,type,
    sK649: 'A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_806,type,
    sK650: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_807,type,
    sK651: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_808,type,
    sK652: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_809,type,
    sK653: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_810,type,
    sK654: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).

tff(func_def_811,type,
    sK655: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_812,type,
    sK656: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' > 'A_TESL_atomic_list$' ).

tff(func_def_813,type,
    sK657: 'Nat_a_TESL_atomic_prod$' > 'Nat$' ).

tff(func_def_814,type,
    sK658: 'Nat_a_TESL_atomic_prod$' > 'A_TESL_atomic$' ).

tff(func_def_815,type,
    sK659: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_816,type,
    sK660: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic$' ).

tff(func_def_817,type,
    sK661: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list$' ).

tff(func_def_818,type,
    sK662: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_819,type,
    sK663: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).

tff(func_def_820,type,
    sK664: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_821,type,
    sK665: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr_list$' ).

tff(func_def_822,type,
    sK666: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_823,type,
    sK667: ( 'A_constr_list$' * 'A_constr_list$' * 'A_constr_a_constr_prod_set$' ) > 'A_constr$' ).

tff(func_def_824,type,
    sK668: 'A_constr_list_list$' > 'A_constr_list_list$' ).

tff(func_def_825,type,
    sK669: 'A_constr_list_list$' > 'A_constr$' ).

tff(func_def_826,type,
    sK670: 'A_constr_list_list$' > 'A_constr_list$' ).

tff(func_def_827,type,
    sK671: 'A_constr_list_list$' > 'A_constr_list_list$' ).

tff(func_def_828,type,
    sK672: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_829,type,
    sK673: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).

tff(func_def_830,type,
    sK674: ( 'A_constr_list$' * 'Nat$' ) > 'A_constr$' ).

tff(func_def_831,type,
    sK675: ( 'A_constr_list$' * 'Nat$' ) > 'A_constr_list$' ).

tff(func_def_832,type,
    sK676: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_833,type,
    sK677: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr$' ).

tff(func_def_834,type,
    sK678: ( 'A_constr_bool_fun$' * 'A_constr_list$' ) > 'A_constr_list$' ).

tff(func_def_835,type,
    sK679: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_836,type,
    sK680: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_837,type,
    sK681: ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic$' ).

tff(func_def_838,type,
    sK682: ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic_list$' ).

tff(func_def_839,type,
    sK683: 'Nat_list_list$' > 'Nat_list_list$' ).

tff(func_def_840,type,
    sK684: 'Nat_list_list$' > 'Nat$' ).

tff(func_def_841,type,
    sK685: 'Nat_list_list$' > 'Nat_list_list$' ).

tff(func_def_842,type,
    sK686: 'Nat_list_list$' > 'Nat_list$' ).

tff(pred_def_1,type,
    'member$j': ( 'A_TESL_atomic_a_constr_prod$' * 'A_TESL_atomic_a_constr_prod_set$' ) > $o ).

tff(pred_def_2,type,
    'member$m': ( 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' * 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ) > $o ).

tff(pred_def_3,type,
    'member$i': ( 'A_TESL_atomic_list_a_constr_list_prod$' * 'A_TESL_atomic_list_a_constr_list_prod_set$' ) > $o ).

tff(pred_def_4,type,
    'member$h': ( 'A_constr_a_TESL_atomic_prod$' * 'A_constr_a_TESL_atomic_prod_set$' ) > $o ).

tff(pred_def_5,type,
    'member$d': ( 'A_run$' * 'A_run_set$' ) > $o ).

tff(pred_def_6,type,
    'member$c': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_set$' ) > $o ).

tff(pred_def_7,type,
    'member$l': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).

tff(pred_def_8,type,
    'member$a': ( 'A_TESL_atomic$' * 'A_TESL_atomic_set$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$c': ( 'A_TESL_atomic_list_bool_fun$' * 'A_TESL_atomic_list$' ) > $o ).

tff(pred_def_10,type,
    'member$q': ( 'A_constr$' * 'A_constr_set$' ) > $o ).

tff(pred_def_11,type,
    'less_eq$': ( 'A_run_set$' * 'A_run_set$' ) > $o ).

tff(pred_def_12,type,
    'irrefl$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > $o ).

tff(pred_def_13,type,
    'less_eq$e': ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > $o ).

tff(pred_def_14,type,
    'member$k': ( 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' * 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$' ) > $o ).

tff(pred_def_15,type,
    'member$': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).

tff(pred_def_16,type,
    'fun_app$j': ( 'Nat_a_TESL_atomic_prod_bool_fun$' * 'Nat_a_TESL_atomic_prod$' ) > $o ).

tff(pred_def_17,type,
    'fun_app$n': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > $o ).

tff(pred_def_18,type,
    'fun_app$i': ( 'Nat_a_constr_prod_bool_fun$' * 'Nat_a_constr_prod$' ) > $o ).

tff(pred_def_19,type,
    'member$o': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).

tff(pred_def_20,type,
    'member$f': ( 'A_constr_a_constr_prod$' * 'A_constr_a_constr_prod_set$' ) > $o ).

tff(pred_def_21,type,
    'less_eq$a': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).

tff(pred_def_22,type,
    'fun_app$k': ( 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$' * 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' ) > $o ).

tff(pred_def_23,type,
    'member$n': ( 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' * 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ) > $o ).

tff(pred_def_24,type,
    'fun_app$b': ( 'A_constr_list_bool_fun$' * 'A_constr_list$' ) > $o ).

tff(pred_def_25,type,
    'less_eq$d': ( 'A_constr_set$' * 'A_constr_set$' ) > $o ).

tff(pred_def_26,type,
    'fun_app$d': ( 'A_run_bool_fun$' * 'A_run$' ) > $o ).

tff(pred_def_27,type,
    'fun_app$l': ( 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).

tff(pred_def_28,type,
    'member$p': ( 'A_TESL_atomic_a_TESL_atomic_prod$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > $o ).

tff(pred_def_29,type,
    'irrefl$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > $o ).

tff(pred_def_30,type,
    'fun_app$w': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_31,type,
    'fun_app$m': ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ) > $o ).

tff(pred_def_32,type,
    'less_eq$b': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).

tff(pred_def_33,type,
    'fun_app$a': ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic$' ) > $o ).

tff(pred_def_34,type,
    'member$g': ( 'A_constr_list_a_TESL_atomic_list_prod$' * 'A_constr_list_a_TESL_atomic_list_prod_set$' ) > $o ).

tff(pred_def_35,type,
    'fun_app$y': ( 'A_constr_bool_fun$' * 'A_constr$' ) > $o ).

tff(pred_def_36,type,
    'fun_app$h': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).

tff(pred_def_37,type,
    'member$b': ( 'A_constr_list$' * 'A_constr_list_set$' ) > $o ).

tff(pred_def_38,type,
    'fun_app$': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).

tff(pred_def_39,type,
    'less_eq$c': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).

tff(pred_def_40,type,
    'member$e': ( 'A_constr_list_a_constr_list_prod$' * 'A_constr_list_a_constr_list_prod_set$' ) > $o ).

tff(pred_def_43,type,
    sP0: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_list$' ) > $o ).

tff(pred_def_44,type,
    sP1: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'A_constr_list_list$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).

tff(pred_def_45,type,
    sP2: ( 'A_constr_a_TESL_atomic_prod_set$' * 'A_constr_list$' * 'A_TESL_atomic_list$' ) > $o ).

tff(pred_def_46,type,
    sP3: ( 'A_constr_list$' * 'A_constr_a_constr_prod_set$' * 'A_constr_list$' ) > $o ).

tff(pred_def_47,type,
    sP4: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'Nat_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).

tff(pred_def_48,type,
    sP5: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).

tff(pred_def_49,type,
    sP6: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > $o ).

tff(pred_def_50,type,
    sP7: ( 'A_constr_list$' * 'A_constr$' ) > $o ).

tff(pred_def_51,type,
    sP8: ( 'A_constr$' * 'A_constr_list$' ) > $o ).

tff(pred_def_52,type,
    sP9: ( 'A_constr$' * 'A_constr_list$' ) > $o ).

tff(pred_def_53,type,
    sP10: ( 'A_constr_list$' * 'A_constr$' ) > $o ).

tff(pred_def_54,type,
    sP11: ( 'A_constr_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_a_constr_prod_set$' ) > $o ).

tff(pred_def_55,type,
    sQ687_eqProxy: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > $o ).

tff(pred_def_56,type,
    sQ688_eqProxy: ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > $o ).

tff(pred_def_57,type,
    sQ689_eqProxy: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > $o ).

tff(pred_def_58,type,
    sQ690_eqProxy: ( 'A_run_set$' * 'A_run_set$' ) > $o ).

tff(pred_def_59,type,
    sQ691_eqProxy: ( 'A_TESL_atomic_list_set$' * 'A_TESL_atomic_list_set$' ) > $o ).

tff(pred_def_60,type,
    sQ692_eqProxy: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).

tff(pred_def_61,type,
    sQ693_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_62,type,
    sQ694_eqProxy: ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > $o ).

tff(pred_def_63,type,
    sQ695_eqProxy: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).

tff(pred_def_64,type,
    sQ696_eqProxy: ( 'A_constr_list$' * 'A_constr_list$' ) > $o ).

tff(pred_def_65,type,
    sQ697_eqProxy: ( 'A_TESL_atomic$' * 'A_TESL_atomic$' ) > $o ).

tff(pred_def_66,type,
    sQ698_eqProxy: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > $o ).

tff(pred_def_67,type,
    sQ699_eqProxy: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > $o ).

tff(pred_def_68,type,
    sQ700_eqProxy: ( 'A_constr_list_list$' * 'A_constr_list_list$' ) > $o ).

tff(pred_def_69,type,
    sQ701_eqProxy: ( 'A_constr$' * 'A_constr$' ) > $o ).

tff(pred_def_70,type,
    sQ702_eqProxy: ( 'A_tag_const$' * 'A_tag_const$' ) > $o ).

tff(pred_def_71,type,
    sQ703_eqProxy: ( 'Clock$' * 'Clock$' ) > $o ).

tff(pred_def_72,type,
    sQ704_eqProxy: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_73,type,
    sQ705_eqProxy: ( 'Nat_a_TESL_atomic_prod$' * 'Nat_a_TESL_atomic_prod$' ) > $o ).

tff(pred_def_74,type,
    sQ706_eqProxy: ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' ) > $o ).

tff(pred_def_75,type,
    sQ707_eqProxy: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).

tff(pred_def_76,type,
    sQ708_eqProxy: ( 'A_TESL_atomic_list_nat_prod$' * 'A_TESL_atomic_list_nat_prod$' ) > $o ).

tff(pred_def_77,type,
    sQ709_eqProxy: ( 'Nat_a_constr_prod$' * 'Nat_a_constr_prod$' ) > $o ).

tff(pred_def_78,type,
    sQ710_eqProxy: ( 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).

tff(pred_def_79,type,
    sQ711_eqProxy: ( 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' * 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' ) > $o ).

tff(pred_def_80,type,
    sQ712_eqProxy: ( 'Nat_a_TESL_atomic_prod_list_list$' * 'Nat_a_TESL_atomic_prod_list_list$' ) > $o ).

tff(pred_def_81,type,
    sQ713_eqProxy: ( 'A_TESL_atomic_a_TESL_atomic_fun$' * 'A_TESL_atomic_a_TESL_atomic_fun$' ) > $o ).

tff(pred_def_82,type,
    sQ714_eqProxy: ( 'Nat_nat_bool_fun_fun_nat_list_prod$' * 'Nat_nat_bool_fun_fun_nat_list_prod$' ) > $o ).

tff(pred_def_83,type,
    sQ715_eqProxy: ( 'A_constr_a_constr_bool_fun_fun$' * 'A_constr_a_constr_bool_fun_fun$' ) > $o ).

tff(pred_def_84,type,
    sQ716_eqProxy: ( 'Nat_a_constr_prod_list$' * 'Nat_a_constr_prod_list$' ) > $o ).

tff(pred_def_85,type,
    sQ717_eqProxy: ( 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' * 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' ) > $o ).

tff(pred_def_86,type,
    sQ718_eqProxy: ( 'Nat_list$' * 'Nat_list$' ) > $o ).

tff(pred_def_87,type,
    sQ719_eqProxy: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' ) > $o ).

tff(pred_def_88,type,
    sQ720_eqProxy: ( 'A_constr_list_set$' * 'A_constr_list_set$' ) > $o ).

tff(pred_def_89,type,
    sQ721_eqProxy: ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ) > $o ).

tff(pred_def_90,type,
    sQ722_eqProxy: ( 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' * 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' ) > $o ).

tff(pred_def_91,type,
    sQ723_eqProxy: ( 'A_TESL_atomic_list_list_list$' * 'A_TESL_atomic_list_list_list$' ) > $o ).

tff(pred_def_92,type,
    sQ724_eqProxy: ( 'Nat_a_TESL_atomic_prod_list$' * 'Nat_a_TESL_atomic_prod_list$' ) > $o ).

tff(pred_def_93,type,
    sQ725_eqProxy: ( 'A_constr_list_list_list$' * 'A_constr_list_list_list$' ) > $o ).

tff(pred_def_94,type,
    sQ726_eqProxy: ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' * 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ) > $o ).

tff(pred_def_95,type,
    sQ727_eqProxy: ( 'A_constr_list_a_constr_list_prod$' * 'A_constr_list_a_constr_list_prod$' ) > $o ).

tff(pred_def_96,type,
    sQ728_eqProxy: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$' ) > $o ).

tff(pred_def_97,type,
    sQ729_eqProxy: ( 'A_constr_set$' * 'A_constr_set$' ) > $o ).

tff(pred_def_98,type,
    sQ730_eqProxy: ( 'Nat_list_list$' * 'Nat_list_list$' ) > $o ).

tff(f6,conjecture,
    'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).

tff(f7,negated_conjecture,
    ( ( ~ 'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) ) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

tff(f10,axiom,
    ! [X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$',X2: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X0,'pair$a'(X1,'pair$b'(X2,X3)))) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X0)),'tESL_interpretation_stepwise$'(X2,X1))),'tESL_interpretation_stepwise$'(X3,'nat$'($sum('fun_app$g'('of_nat$',X1),1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).

tff(f749,plain,
    ! [X2: 'Nat$',X0: 'A_TESL_atomic_list$',X1: 'A_constr_list$',X3: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X1,'pair$a'(X2,'pair$b'(X3,X0)))) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X1)),'tESL_interpretation_stepwise$'(X3,X2))),'tESL_interpretation_stepwise$'(X0,'nat$'($sum('fun_app$g'('of_nat$',X2),1)))) ),
    inference(rectify,[],[f10]) ).

tff(f1286,plain,
    'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) != 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),
    inference(flattening,[],[f7]) ).

tff(f1926,plain,
    ! [X0: 'Nat$',X1: 'A_TESL_atomic_list$',X2: 'A_constr_list$',X3: 'A_TESL_atomic_list$'] : ( 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X2)),'tESL_interpretation_stepwise$'(X3,X0))),'tESL_interpretation_stepwise$'(X1,'nat$'($sum('fun_app$g'('of_nat$',X0),1)))) = 'heronConf_interpretation$'('pair$'(X2,'pair$a'(X0,'pair$b'(X3,X1)))) ),
    inference(rectify,[],[f749]) ).

tff(f2767,plain,
    'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) != 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),
    inference(cnf_transformation,[],[f1286]) ).

tff(f2882,plain,
    ! [X2: 'A_constr_list$',X3: 'A_TESL_atomic_list$',X0: 'Nat$',X1: 'A_TESL_atomic_list$'] : ( 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X2)),'tESL_interpretation_stepwise$'(X3,X0))),'tESL_interpretation_stepwise$'(X1,'nat$'($sum('fun_app$g'('of_nat$',X0),1)))) = 'heronConf_interpretation$'('pair$'(X2,'pair$a'(X0,'pair$b'(X3,X1)))) ),
    inference(cnf_transformation,[],[f1926]) ).

tff(f4204,definition,
    ! [X0: 'A_run_set$',X1: 'A_run_set$'] :
      ( sQ690_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(definition,[new_symbols(definition,[sQ690_eqProxy])],[equality_proxy_definition]) ).

tff(f4205,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(equality_proxy_replacement,[],[f2767,f4204]) ).

tff(f4285,plain,
    ! [X2: 'A_constr_list$',X3: 'A_TESL_atomic_list$',X0: 'Nat$',X1: 'A_TESL_atomic_list$'] : sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X2)),'tESL_interpretation_stepwise$'(X3,X0))),'tESL_interpretation_stepwise$'(X1,'nat$'($sum('fun_app$g'('of_nat$',X0),1)))),'heronConf_interpretation$'('pair$'(X2,'pair$a'(X0,'pair$b'(X3,X1))))),
    inference(equality_proxy_replacement,[],[f2882,f4204]) ).

tff(f5010,plain,
    ! [X0: 'A_run_set$',X1: 'A_run_set$'] :
      ( sQ690_eqProxy(X1,X0)
      | ~ sQ690_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f4204]) ).

tff(f5090,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5010,f4205]) ).

tff(f5091,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5090,f5010]) ).

tff(f5092,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5091,f5010]) ).

tff(f5093,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5092,f5010]) ).

tff(f5094,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5093,f5010]) ).

tff(f5095,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5094,f5010]) ).

tff(f5096,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5095,f5010]) ).

tff(f5097,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5096,f5010]) ).

tff(f5098,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5097,f5010]) ).

tff(f5099,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5098,f5010]) ).

tff(f5100,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5099,f5010]) ).

tff(f5101,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5100,f5010]) ).

tff(f5102,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5101,f5010]) ).

tff(f5103,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5102,f5010]) ).

tff(f5104,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5103,f5010]) ).

tff(f5105,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5104,f5010]) ).

tff(f5106,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5105,f5010]) ).

tff(f5109,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5106,f5010]) ).

tff(f5110,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5109,f5010]) ).

tff(f5111,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5110,f5010]) ).

tff(f5112,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5111,f5010]) ).

tff(f5113,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5112,f5010]) ).

tff(f5114,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5113,f5010]) ).

tff(f5116,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5114,f5010]) ).

tff(f5117,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5116,f5010]) ).

tff(f5118,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5117,f5010]) ).

tff(f5119,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5118,f5010]) ).

tff(f5120,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5119,f5010]) ).

tff(f5121,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5120,f5010]) ).

tff(f5122,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5121,f5010]) ).

tff(f5123,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5122,f5010]) ).

tff(f5124,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5123,f5010]) ).

tff(f5125,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5124,f5010]) ).

tff(f5126,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5125,f5010]) ).

tff(f5127,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5126,f5010]) ).

tff(f5128,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5127,f5010]) ).

tff(f5129,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5128,f5010]) ).

tff(f5130,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5129,f5010]) ).

tff(f5131,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5130,f5010]) ).

tff(f5132,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5131,f5010]) ).

tff(f5133,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5132,f5010]) ).

tff(f5134,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5133,f5010]) ).

tff(f5135,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5134,f5010]) ).

tff(f5136,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5135,f5010]) ).

tff(f5137,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5136,f5010]) ).

tff(f5138,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5137,f5010]) ).

tff(f5139,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5138,f5010]) ).

tff(f5140,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5139,f5010]) ).

tff(f5141,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5140,f5010]) ).

tff(f5142,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5141,f5010]) ).

tff(f5143,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5142,f5010]) ).

tff(f5144,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5143,f5010]) ).

tff(f5145,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5144,f5010]) ).

tff(f5146,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5145,f5010]) ).

tff(f5147,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5146,f5010]) ).

tff(f5148,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5147,f5010]) ).

tff(f5149,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5148,f5010]) ).

tff(f5150,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5149,f5010]) ).

tff(f5151,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5150,f5010]) ).

tff(f5152,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5151,f5010]) ).

tff(f5153,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5152,f5010]) ).

tff(f5154,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5153,f5010]) ).

tff(f5155,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5154,f5010]) ).

tff(f5156,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5155,f5010]) ).

tff(f5157,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5156,f5010]) ).

tff(f5158,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5157,f5010]) ).

tff(f5161,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5158,f5010]) ).

tff(f5162,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5161,f5010]) ).

tff(f5163,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5162,f5010]) ).

tff(f5164,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5163,f5010]) ).

tff(f5165,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5164,f5010]) ).

tff(f5166,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5165,f5010]) ).

tff(f5167,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5166,f5010]) ).

tff(f5168,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5167,f5010]) ).

tff(f5169,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5168,f5010]) ).

tff(f5170,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5169,f5010]) ).

tff(f5171,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5170,f5010]) ).

tff(f5172,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5171,f5010]) ).

tff(f5173,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5172,f5010]) ).

tff(f5175,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5173,f5010]) ).

tff(f5176,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5175,f5010]) ).

tff(f5177,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5176,f5010]) ).

tff(f5178,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5177,f5010]) ).

tff(f5179,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5178,f5010]) ).

tff(f5180,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5179,f5010]) ).

tff(f5181,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5180,f5010]) ).

tff(f5182,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5181,f5010]) ).

tff(f5183,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5182,f5010]) ).

tff(f5184,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5183,f5010]) ).

tff(f5185,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5184,f5010]) ).

tff(f5186,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5185,f5010]) ).

tff(f5187,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5186,f5010]) ).

tff(f5188,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5187,f5010]) ).

tff(f5189,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5188,f5010]) ).

tff(f5191,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5189,f5010]) ).

tff(f5192,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5191,f5010]) ).

tff(f5193,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5192,f5010]) ).

tff(f5194,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5193,f5010]) ).

tff(f5195,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5194,f5010]) ).

tff(f5196,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5195,f5010]) ).

tff(f5197,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5196,f5010]) ).

tff(f5198,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5197,f5010]) ).

tff(f5199,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5198,f5010]) ).

tff(f5200,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5199,f5010]) ).

tff(f5201,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5200,f5010]) ).

tff(f5202,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5201,f5010]) ).

tff(f5203,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5202,f5010]) ).

tff(f5204,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5203,f5010]) ).

tff(f5205,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5204,f5010]) ).

tff(f5206,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5205,f5010]) ).

tff(f5207,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5206,f5010]) ).

tff(f5208,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5207,f5010]) ).

tff(f5209,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5208,f5010]) ).

tff(f5210,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5209,f5010]) ).

tff(f5211,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5210,f5010]) ).

tff(f5212,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5211,f5010]) ).

tff(f5213,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5212,f5010]) ).

tff(f5214,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5213,f5010]) ).

tff(f5215,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5214,f5010]) ).

tff(f5216,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5215,f5010]) ).

tff(f5217,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5216,f5010]) ).

tff(f5218,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5217,f5010]) ).

tff(f5219,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5218,f5010]) ).

tff(f5220,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5219,f5010]) ).

tff(f5222,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5220,f5010]) ).

tff(f5223,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5222,f5010]) ).

tff(f5224,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5223,f5010]) ).

tff(f5225,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5224,f5010]) ).

tff(f5226,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5225,f5010]) ).

tff(f5227,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5226,f5010]) ).

tff(f5228,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5227,f5010]) ).

tff(f5229,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5228,f5010]) ).

tff(f5230,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5229,f5010]) ).

tff(f5231,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5230,f5010]) ).

tff(f5232,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5231,f5010]) ).

tff(f5233,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5232,f5010]) ).

tff(f5234,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5233,f5010]) ).

tff(f5235,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5234,f5010]) ).

tff(f5236,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5235,f5010]) ).

tff(f5237,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5236,f5010]) ).

tff(f5238,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5237,f5010]) ).

tff(f5239,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5238,f5010]) ).

tff(f5240,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5239,f5010]) ).

tff(f5241,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5240,f5010]) ).

tff(f5242,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5241,f5010]) ).

tff(f5243,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5242,f5010]) ).

tff(f5244,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5243,f5010]) ).

tff(f5245,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5244,f5010]) ).

tff(f5246,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5245,f5010]) ).

tff(f5247,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5246,f5010]) ).

tff(f5248,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5247,f5010]) ).

tff(f5249,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5248,f5010]) ).

tff(f5250,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5249,f5010]) ).

tff(f5251,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5250,f5010]) ).

tff(f5252,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5251,f5010]) ).

tff(f5253,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5252,f5010]) ).

tff(f5254,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5253,f5010]) ).

tff(f5255,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5254,f5010]) ).

tff(f5256,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5255,f5010]) ).

tff(f5257,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5256,f5010]) ).

tff(f5258,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5257,f5010]) ).

tff(f5259,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5258,f5010]) ).

tff(f5260,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5259,f5010]) ).

tff(f5261,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5260,f5010]) ).

tff(f5262,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5261,f5010]) ).

tff(f5263,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5262,f5010]) ).

tff(f5265,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5263,f5010]) ).

tff(f5267,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5265,f5010]) ).

tff(f5269,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5267,f5010]) ).

tff(f5271,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5269,f5010]) ).

tff(f5272,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5271,f5010]) ).

tff(f5273,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5272,f5010]) ).

tff(f5274,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5273,f5010]) ).

tff(f5275,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5274,f5010]) ).

tff(f5277,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5275,f5010]) ).

tff(f5279,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5277,f5010]) ).

tff(f5281,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5279,f5010]) ).

tff(f5283,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5281,f5010]) ).

tff(f5284,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5283,f5010]) ).

tff(f5285,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5284,f5010]) ).

tff(f5286,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5285,f5010]) ).

tff(f5287,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5286,f5010]) ).

tff(f5289,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5287,f5010]) ).

tff(f5291,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5289,f5010]) ).

tff(f5292,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5291,f5010]) ).

tff(f5293,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5292,f5010]) ).

tff(f5294,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5293,f5010]) ).

tff(f5296,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5294,f5010]) ).

tff(f5297,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5296,f5010]) ).

tff(f5298,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5297,f5010]) ).

tff(f5299,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5298,f5010]) ).

tff(f5305,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5299,f5010]) ).

tff(f5307,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5305,f5010]) ).

tff(f5308,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5307,f5010]) ).

tff(f5309,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5308,f5010]) ).

tff(f5310,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5309,f5010]) ).

tff(f5311,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5310,f5010]) ).

tff(f5312,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5311,f5010]) ).

tff(f5313,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5312,f5010]) ).

tff(f5314,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5313,f5010]) ).

tff(f5315,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5314,f5010]) ).

tff(f5316,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5315,f5010]) ).

tff(f5317,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5316,f5010]) ).

tff(f5318,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5317,f5010]) ).

tff(f5319,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5318,f5010]) ).

tff(f5320,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5319,f5010]) ).

tff(f5322,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5320,f5010]) ).

tff(f5323,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5322,f5010]) ).

tff(f5324,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5323,f5010]) ).

tff(f5325,plain,
    ~ sQ690_eqProxy('heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))),'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1))))),
    inference(resolution,[],[f5324,f5010]) ).

tff(f5326,plain,
    ~ sQ690_eqProxy('fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$'))))),
    inference(resolution,[],[f5325,f5010]) ).

tff(f7152,plain,
    $false,
    inference(resolution,[],[f4285,f5326]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP410_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n009.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Sun Sep 27 12:57:45 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/1.81  % (2012702)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.81/1.81  % (2012716)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3940481269:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.81/1.81  % (2012716)Instruction limit reached! 
% 5.81/1.81  % (2012716)------------------------------
% 5.81/1.81  % (2012716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81  % (2012716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81  % (2012716)CaDiCaL version: 2.1.3
% 5.81/1.81  % (2012716)Termination reason: Instruction limit
% 5.81/1.81  % (2012716)Termination phase: Property scanning
% 5.81/1.81  % (2012716)Time elapsed: 0.003 s
% 5.81/1.81  % (2012716)Peak memory usage: 86 MB
% 5.81/1.81  % (2012716)Instructions burned: 4 (million)
% 5.81/1.81  % (2012717)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1835518344:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.81/1.81  % (2012713)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1113288274:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.81/1.81  % (2012718)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=462196303:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.81/1.81  % (2012714)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=782449971:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.81/1.81  % (2012715)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=114913915:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.81/1.81  % (2012712)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=975941793:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.81/1.81  % (2012715)Instruction limit reached! 
% 5.81/1.81  % (2012715)------------------------------
% 5.81/1.81  % (2012715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81  % (2012715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81  % (2012715)CaDiCaL version: 2.1.3
% 5.81/1.81  % (2012715)Termination reason: Instruction limit
% 5.81/1.81  % (2012715)Termination phase: Property scanning
% 5.81/1.81  % (2012715)Time elapsed: 0.007 s
% 5.81/1.81  % (2012715)Peak memory usage: 86 MB
% 5.81/1.81  % (2012715)Instructions burned: 7 (million)
% 5.81/1.81  % (2012712)Instruction limit reached! 
% 5.81/1.81  % (2012712)------------------------------
% 5.81/1.81  % (2012712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81  % (2012712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81  % (2012712)CaDiCaL version: 2.1.3
% 5.81/1.81  % (2012712)Termination reason: Instruction limit
% 5.81/1.81  % (2012712)Termination phase: shuffling
% 5.81/1.81  % (2012712)Time elapsed: 0.012 s
% 5.81/1.81  % (2012712)Peak memory usage: 86 MB
% 5.81/1.81  % (2012712)Instructions burned: 12 (million)
% 5.81/1.81  % (2012718)Instruction limit reached! 
% 5.81/1.81  % (2012718)------------------------------
% 5.81/1.81  % (2012718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81  % (2012718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81  % (2012718)CaDiCaL version: 2.1.3
% 5.81/1.81  % (2012718)Termination reason: Instruction limit
% 5.81/1.81  % (2012718)Termination phase: Preprocessing 3
% 5.81/1.81  % (2012718)Time elapsed: 0.033 s
% 5.81/1.81  % (2012718)Peak memory usage: 88 MB
% 5.81/1.81  % (2012718)Instructions burned: 33 (million)
% 5.81/1.81  % (2012717)Instruction limit reached! 
% 5.81/1.81  % (2012717)------------------------------
% 5.81/1.81  % (2012717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81  % (2012717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81  % (2012717)CaDiCaL version: 2.1.3
% 5.81/1.81  % (2012717)Termination reason: Instruction limit
% 5.81/1.81  % (2012717)Termination phase: Property scanning
% 5.81/1.81  % (2012717)Time elapsed: 0.047 s
% 5.81/1.81  % (2012717)Peak memory usage: 89 MB
% 5.81/1.81  % (2012717)Instructions burned: 47 (million)
% 5.81/1.81  % (2012726)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1543593655:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2996 on theBenchmark for (2996ds/14Mi)
% 5.81/1.81  % (2012726)Instruction limit reached! 
% 5.81/1.81  % (2012726)------------------------------
% 6.41/2.02  % (2012726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012726)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012726)Termination reason: Instruction limit
% 6.41/2.02  % (2012726)Termination phase: SInE selection
% 6.41/2.02  % (2012726)Time elapsed: 0.008 s
% 6.41/2.02  % (2012726)Peak memory usage: 86 MB
% 6.41/2.02  % (2012726)Instructions burned: 16 (million)
% 6.41/2.02  % (2012714)Instruction limit reached! 
% 6.41/2.02  % (2012714)------------------------------
% 6.41/2.02  % (2012714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012714)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012714)Termination reason: Instruction limit
% 6.41/2.02  % (2012714)Termination phase: Saturation
% 6.41/2.02  % (2012714)Time elapsed: 0.225 s
% 6.41/2.02  % (2012714)Peak memory usage: 116 MB
% 6.41/2.02  % (2012714)Instructions burned: 201 (million)
% 6.41/2.02  % (2012727)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3952197845:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 6.41/2.02  % (2012727)Instruction limit reached! 
% 6.41/2.02  % (2012727)------------------------------
% 6.41/2.02  % (2012727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012727)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012727)Termination reason: Instruction limit
% 6.41/2.02  % (2012727)Termination phase: Preprocessing 2
% 6.41/2.02  % (2012727)Time elapsed: 0.028 s
% 6.41/2.02  % (2012727)Peak memory usage: 87 MB
% 6.41/2.02  % (2012727)Instructions burned: 29 (million)
% 6.41/2.02  % (2012728)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2692378763:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.41/2.02  % (2012728)Instruction limit reached! 
% 6.41/2.02  % (2012728)------------------------------
% 6.41/2.02  % (2012728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012728)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012728)Termination reason: Instruction limit
% 6.41/2.02  % (2012728)Termination phase: Preprocessing 1
% 6.41/2.02  % (2012728)Time elapsed: 0.017 s
% 6.41/2.02  % (2012728)Peak memory usage: 86 MB
% 6.41/2.02  % (2012728)Instructions burned: 16 (million)
% 6.41/2.02  % (2012729)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2823910010:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.41/2.02  % (2012729)Instruction limit reached! 
% 6.41/2.02  % (2012729)------------------------------
% 6.41/2.02  % (2012729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012729)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012729)Termination reason: Instruction limit
% 6.41/2.02  % (2012729)Termination phase: Preprocessing 1
% 6.41/2.02  % (2012729)Time elapsed: 0.023 s
% 6.41/2.02  % (2012729)Peak memory usage: 86 MB
% 6.41/2.02  % (2012729)Instructions burned: 24 (million)
% 6.41/2.02  % (2012730)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1613759834:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.41/2.02  % (2012713)Instruction limit reached! 
% 6.41/2.02  % (2012713)------------------------------
% 6.41/2.02  % (2012713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.02  % (2012713)CaDiCaL version: 2.1.3
% 6.41/2.02  % (2012713)Termination reason: Instruction limit
% 6.41/2.02  % (2012713)Termination phase: Saturation
% 6.41/2.02  % (2012713)Time elapsed: 0.338 s
% 6.41/2.02  % (2012713)Peak memory usage: 120 MB
% 6.41/2.02  % (2012713)Instructions burned: 308 (million)
% 6.41/2.02  % (2012730)Instruction limit reached! 
% 6.41/2.02  % (2012730)------------------------------
% 6.41/2.02  % (2012730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.02  % (2012730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012730)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012730)Termination reason: Instruction limit
% 8.96/2.26  % (2012730)Termination phase: Preprocessing 1
% 8.96/2.26  % (2012730)Time elapsed: 0.026 s
% 8.96/2.26  % (2012730)Peak memory usage: 87 MB
% 8.96/2.26  % (2012730)Instructions burned: 27 (million)
% 8.96/2.26  % (2012732)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1795666972:i=85:gtgl=4:rtra=on:gtg=exists_sym_2994 on theBenchmark for (2994ds/85Mi)
% 8.96/2.26  % (2012735)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3266694243:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.96/2.26  % (2012734)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1602862466:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.96/2.26  % (2012734)Instruction limit reached! 
% 8.96/2.26  % (2012734)------------------------------
% 8.96/2.26  % (2012734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.26  % (2012734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012734)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012734)Termination reason: Instruction limit
% 8.96/2.26  % (2012734)Termination phase: shuffling
% 8.96/2.26  % (2012734)Time elapsed: 0.004 s
% 8.96/2.26  % (2012734)Peak memory usage: 85 MB
% 8.96/2.26  % (2012734)Instructions burned: 3 (million)
% 8.96/2.26  % (2012732)Instruction limit reached! 
% 8.96/2.26  % (2012732)------------------------------
% 8.96/2.26  % (2012732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.26  % (2012732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012732)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012732)Termination reason: Instruction limit
% 8.96/2.26  % (2012732)Termination phase: Property scanning
% 8.96/2.26  % (2012732)Time elapsed: 0.079 s
% 8.96/2.26  % (2012732)Peak memory usage: 89 MB
% 8.96/2.26  % (2012732)Instructions burned: 86 (million)
% 8.96/2.26  % (2012741)lrs+10_1_thi=all:si=on:fd=off:random_seed=3331889566:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 8.96/2.26  % (2012738)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3622555336:i=4:ep=RST:ins=2:rtra=on_2993 on theBenchmark for (2993ds/4Mi)
% 8.96/2.26  % (2012738)Instruction limit reached! 
% 8.96/2.26  % (2012738)------------------------------
% 8.96/2.26  % (2012738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.26  % (2012738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012738)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012738)Termination reason: Instruction limit
% 8.96/2.26  % (2012738)Termination phase: Property scanning
% 8.96/2.26  % (2012738)Time elapsed: 0.005 s
% 8.96/2.26  % (2012738)Peak memory usage: 86 MB
% 8.96/2.26  % (2012738)Instructions burned: 4 (million)
% 8.96/2.26  % (2012741)Instruction limit reached! 
% 8.96/2.26  % (2012741)------------------------------
% 8.96/2.26  % (2012741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.26  % (2012741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012741)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012741)Termination reason: Instruction limit
% 8.96/2.26  % (2012741)Termination phase: Preprocessing 3
% 8.96/2.26  % (2012741)Time elapsed: 0.026 s
% 8.96/2.26  % (2012741)Peak memory usage: 88 MB
% 8.96/2.26  % (2012741)Instructions burned: 54 (million)
% 8.96/2.26  % (2012735)Instruction limit reached! 
% 8.96/2.26  % (2012735)------------------------------
% 8.96/2.26  % (2012735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.26  % (2012735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.26  % (2012735)CaDiCaL version: 2.1.3
% 8.96/2.26  % (2012735)Termination reason: Instruction limit
% 8.96/2.26  % (2012735)Termination phase: Saturation
% 8.96/2.26  % (2012735)Time elapsed: 0.137 s
% 8.96/2.26  % (2012735)Peak memory usage: 92 MB
% 8.96/2.26  % (2012735)Instructions burned: 186 (million)
% 8.96/2.26  % (2012740)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2936410115:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 8.96/2.26  % (2012742)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3796191421:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 10.19/2.54  % (2012742)Instruction limit reached! 
% 10.19/2.54  % (2012742)------------------------------
% 10.19/2.54  % (2012742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012742)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012742)Termination reason: Instruction limit
% 10.19/2.54  % (2012742)Termination phase: Property scanning
% 10.19/2.54  % (2012742)Time elapsed: 0.008 s
% 10.19/2.54  % (2012742)Peak memory usage: 85 MB
% 10.19/2.54  % (2012742)Instructions burned: 8 (million)
% 10.19/2.54  % (2012740)Instruction limit reached! 
% 10.19/2.54  % (2012740)------------------------------
% 10.19/2.54  % (2012740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012740)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012740)Termination reason: Instruction limit
% 10.19/2.54  % (2012740)Termination phase: Property scanning
% 10.19/2.54  % (2012740)Time elapsed: 0.066 s
% 10.19/2.54  % (2012740)Peak memory usage: 89 MB
% 10.19/2.54  % (2012740)Instructions burned: 67 (million)
% 10.19/2.54  % (2012746)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3881469761:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 10.19/2.54  % (2012746)Instruction limit reached! 
% 10.19/2.54  % (2012746)------------------------------
% 10.19/2.54  % (2012746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012746)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012746)Termination reason: Instruction limit
% 10.19/2.54  % (2012746)Termination phase: shuffling
% 10.19/2.54  % (2012746)Time elapsed: 0.003 s
% 10.19/2.54  % (2012746)Peak memory usage: 86 MB
% 10.19/2.54  % (2012746)Instructions burned: 2 (million)
% 10.19/2.54  % (2012751)dis+10_1_si=on:random_seed=2993259144:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.19/2.54  % (2012747)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=479591802:i=2:doe=on:canc=force:asg=cautious:rtra=on_2991 on theBenchmark for (2991ds/2Mi)
% 10.19/2.54  % (2012751)Instruction limit reached! 
% 10.19/2.54  % (2012751)------------------------------
% 10.19/2.54  % (2012751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012751)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012751)Termination reason: Instruction limit
% 10.19/2.54  % (2012751)Termination phase: Property scanning
% 10.19/2.54  % (2012751)Time elapsed: 0.006 s
% 10.19/2.54  % (2012751)Peak memory usage: 86 MB
% 10.19/2.54  % (2012751)Instructions burned: 11 (million)
% 10.19/2.54  % (2012747)Instruction limit reached! 
% 10.19/2.54  % (2012747)------------------------------
% 10.19/2.54  % (2012747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012747)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012747)Termination reason: Instruction limit
% 10.19/2.54  % (2012747)Termination phase: shuffling
% 10.19/2.54  % (2012747)Time elapsed: 0.004 s
% 10.19/2.54  % (2012747)Peak memory usage: 85 MB
% 10.19/2.54  % (2012747)Instructions burned: 3 (million)
% 10.19/2.54  % (2012750)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1217731068:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.19/2.54  % (2012752)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3794654839:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.19/2.54  % (2012752)Instruction limit reached! 
% 10.19/2.54  % (2012752)------------------------------
% 10.19/2.54  % (2012752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.54  % (2012752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.54  % (2012752)CaDiCaL version: 2.1.3
% 10.19/2.54  % (2012752)Termination reason: Instruction limit
% 10.19/2.54  % (2012752)Termination phase: Preprocessing 1
% 10.19/2.54  % (2012752)Time elapsed: 0.025 s
% 10.19/2.54  % (2012752)Peak memory usage: 86 MB
% 10.19/2.54  % (2012752)Instructions burned: 26 (million)
% 10.19/2.54  % (2012755)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=584728427:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 10.19/2.55  % (2012755)Instruction limit reached! 
% 10.19/2.55  % (2012755)------------------------------
% 10.19/2.55  % (2012755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012755)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012755)Termination reason: Instruction limit
% 10.19/2.55  % (2012755)Termination phase: Preprocessing 3
% 10.19/2.55  % (2012755)Time elapsed: 0.038 s
% 10.19/2.55  % (2012755)Peak memory usage: 88 MB
% 10.19/2.55  % (2012755)Instructions burned: 35 (million)
% 10.19/2.55  % (2012756)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2017014292:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 10.19/2.55  % (2012756)Instruction limit reached! 
% 10.19/2.55  % (2012756)------------------------------
% 10.19/2.55  % (2012756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012756)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012756)Termination reason: Instruction limit
% 10.19/2.55  % (2012756)Termination phase: shuffling
% 10.19/2.55  % (2012756)Time elapsed: 0.004 s
% 10.19/2.55  % (2012756)Peak memory usage: 86 MB
% 10.19/2.55  % (2012756)Instructions burned: 3 (million)
% 10.19/2.55  % (2012750)Instruction limit reached! 
% 10.19/2.55  % (2012750)------------------------------
% 10.19/2.55  % (2012750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012750)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012750)Termination reason: Instruction limit
% 10.19/2.55  % (2012750)Termination phase: Saturation
% 10.19/2.55  % (2012750)Time elapsed: 0.153 s
% 10.19/2.55  % (2012750)Peak memory usage: 116 MB
% 10.19/2.55  % (2012750)Instructions burned: 127 (million)
% 10.19/2.55  % (2012761)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2023480053:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 10.19/2.55  % (2012758)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=705911396:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 10.19/2.55  % (2012758)Instruction limit reached! 
% 10.19/2.55  % (2012758)------------------------------
% 10.19/2.55  % (2012758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012758)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012758)Termination reason: Instruction limit
% 10.19/2.55  % (2012758)Termination phase: Property scanning
% 10.19/2.55  % (2012758)Time elapsed: 0.008 s
% 10.19/2.55  % (2012758)Peak memory usage: 86 MB
% 10.19/2.55  % (2012758)Instructions burned: 8 (million)
% 10.19/2.55  % (2012762)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1184291579:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 10.19/2.55  % (2012762)Instruction limit reached! 
% 10.19/2.55  % (2012762)------------------------------
% 10.19/2.55  % (2012762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012762)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012762)Termination reason: Instruction limit
% 10.19/2.55  % (2012762)Termination phase: Property scanning
% 10.19/2.55  % (2012762)Time elapsed: 0.013 s
% 10.19/2.55  % (2012762)Peak memory usage: 85 MB
% 10.19/2.55  % (2012762)Instructions burned: 13 (million)
% 10.19/2.55  % (2012767)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2133707638:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 10.19/2.55  % (2012767)Instruction limit reached! 
% 10.19/2.55  % (2012767)------------------------------
% 10.19/2.55  % (2012767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012767)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012767)Termination reason: Instruction limit
% 10.19/2.55  % (2012767)Termination phase: Property scanning
% 10.19/2.55  % (2012767)Time elapsed: 0.011 s
% 10.19/2.55  % (2012767)Peak memory usage: 86 MB
% 10.19/2.55  % (2012767)Instructions burned: 11 (million)
% 10.19/2.55  % (2012766)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2927127026:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 10.19/2.55  % (2012761)First to succeed.
% 10.19/2.55  % (2012761)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2012702"
% 10.19/2.55  % (2012766)Also succeeded, but the first one will report.
% 10.19/2.55  % (2012769)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3641200914:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 10.19/2.55  % (2012771)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1779784062:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 10.19/2.55  % (2012773)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1283785522:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 10.19/2.55  % (2012776)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2539460490:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2986 on theBenchmark for (2986ds/130Mi)
% 10.19/2.55  % (2012769)Instruction limit reached! 
% 10.19/2.55  % (2012769)------------------------------
% 10.19/2.55  % (2012769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012769)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012769)Termination reason: Instruction limit
% 10.19/2.55  % (2012769)Termination phase: Property scanning
% 10.19/2.55  % (2012769)Time elapsed: 0.070 s
% 10.19/2.55  % (2012769)Peak memory usage: 90 MB
% 10.19/2.55  % (2012769)Instructions burned: 71 (million)
% 10.19/2.55  % (2012771)Instruction limit reached! 
% 10.19/2.55  % (2012771)------------------------------
% 10.19/2.55  % (2012771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.55  % (2012771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.55  % (2012771)CaDiCaL version: 2.1.3
% 10.19/2.55  % (2012771)Termination reason: Instruction limit
% 10.19/2.55  % (2012771)Termination phase: Property scanning
% 10.19/2.55  % (2012771)Time elapsed: 0.072 s
% 10.19/2.55  % (2012771)Peak memory usage: 90 MB
% 10.19/2.55  % (2012771)Instructions burned: 77 (million)
% 10.19/2.55  % (2012761)Refutation found. Thanks to Tanya!
% 10.19/2.55  % SZS status Theorem for theBenchmark
% 10.19/2.55  % SZS output start Proof for theBenchmark
% See solution above
% 11.90/2.77  % (2012761)------------------------------
% 11.90/2.77  % (2012761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.77  % (2012761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.77  % (2012761)CaDiCaL version: 2.1.3
% 11.90/2.77  % (2012761)Termination reason: Refutation
% 11.90/2.77  % (2012761)Time elapsed: 0.131 s
% 11.90/2.77  % (2012761)Peak memory usage: 94 MB
% 11.90/2.77  % (2012761)Instructions burned: 258 (million)
% 11.90/2.77  % (2012761)------------------------------
% 11.90/2.77  % (2012761)------------------------------
% 11.90/2.77  % (2012702)Success in time 1.658 s
% 11.90/2.77  % Vampire exiting
%------------------------------------------------------------------------------