TSTP Solution File: ITP412_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:27:30 EDT 2022
% Result : Theorem 3.61s 1.00s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 643
% Syntax : Number of formulae : 683 ( 46 unt; 634 typ; 0 def)
% Number of atoms : 52 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 18 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 64 ( 0 atm; 32 fun; 30 num; 2 var)
% Number of types : 72 ( 70 usr; 1 ari)
% Number of type conns : 722 ( 515 >; 207 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 535 ( 533 usr; 50 con; 0-3 aty)
% Number of variables : 93 ( 93 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$': $tType ).
tff(type_def_6,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'Int_bool_fun$': $tType ).
tff(type_def_8,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_fun$': $tType ).
tff(type_def_9,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$': $tType ).
tff(type_def_10,type,
'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_fun$': $tType ).
tff(type_def_11,type,
'Nat_a_run_set_fun$': $tType ).
tff(type_def_12,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$': $tType ).
tff(type_def_13,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_14,type,
'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).
tff(type_def_15,type,
'A_run_set_int_fun$': $tType ).
tff(type_def_16,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_fun$': $tType ).
tff(type_def_17,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$': $tType ).
tff(type_def_18,type,
'Clock$': $tType ).
tff(type_def_19,type,
'A_TESL_atomic_list_list$': $tType ).
tff(type_def_20,type,
'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$': $tType ).
tff(type_def_21,type,
'Nat_nat_nat_fun_fun$': $tType ).
tff(type_def_22,type,
'Nat_nat_prod_bool_fun$': $tType ).
tff(type_def_23,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'A_constr_list$': $tType ).
tff(type_def_25,type,
'A_TESL_atomic_list_a_constr_list_bool_fun_fun$': $tType ).
tff(type_def_26,type,
'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$': $tType ).
tff(type_def_27,type,
'A_TESL_atomic_list$': $tType ).
tff(type_def_28,type,
'Int_int_fun$': $tType ).
tff(type_def_29,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod$': $tType ).
tff(type_def_30,type,
'Nat_nat_prod$': $tType ).
tff(type_def_31,type,
'Nat_nat_prod_set$': $tType ).
tff(type_def_32,type,
'Cnt_expr$': $tType ).
tff(type_def_33,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$': $tType ).
tff(type_def_34,type,
'A_run$': $tType ).
tff(type_def_35,type,
'A_tag_const$': $tType ).
tff(type_def_36,type,
'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).
tff(type_def_37,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$': $tType ).
tff(type_def_38,type,
'Nat_nat_fun$': $tType ).
tff(type_def_39,type,
'A_TESL_atomic_list_nat_prod$': $tType ).
tff(type_def_40,type,
'Int_nat_fun$': $tType ).
tff(type_def_41,type,
'A_run_set_a_run_set_a_run_set_fun_fun$': $tType ).
tff(type_def_42,type,
'Nat$': $tType ).
tff(type_def_43,type,
'A_constr_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).
tff(type_def_44,type,
'A_constr_list_a_constr_list_prod$': $tType ).
tff(type_def_45,type,
'A_constr$': $tType ).
tff(type_def_46,type,
'A_run_bool_fun_a_run_bool_fun_fun$': $tType ).
tff(type_def_47,type,
'Int_a_run_set_fun$': $tType ).
tff(type_def_48,type,
tlbool: $tType ).
tff(type_def_49,type,
'A_TESL_atomic_a_TESL_atomic_fun$': $tType ).
tff(type_def_50,type,
'A_run_set_a_run_set_fun$': $tType ).
tff(type_def_51,type,
'A_constr_list_a_constr_list_bool_fun_fun$': $tType ).
tff(type_def_52,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$': $tType ).
tff(type_def_53,type,
'A_TESL_atomic_list_bool_fun$': $tType ).
tff(type_def_54,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun_fun$': $tType ).
tff(type_def_55,type,
'A_constr_a_constr_bool_fun_fun$': $tType ).
tff(type_def_56,type,
'A_run_set_nat_fun$': $tType ).
tff(type_def_57,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_fun_fun$': $tType ).
tff(type_def_58,type,
'A_run_set$': $tType ).
tff(type_def_59,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$': $tType ).
tff(type_def_60,type,
'Bool_bool_fun$': $tType ).
tff(type_def_61,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).
tff(type_def_62,type,
'A_TESL_atomic$': $tType ).
tff(type_def_63,type,
'A_run_bool_fun$': $tType ).
tff(type_def_64,type,
'Int_int_int_fun_fun$': $tType ).
tff(type_def_65,type,
'A_constr_list_bool_fun$': $tType ).
tff(type_def_66,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_67,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$': $tType ).
tff(type_def_68,type,
'Nat_bool_fun$': $tType ).
tff(type_def_69,type,
'A_constr_list_list$': $tType ).
tff(type_def_70,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_fun$': $tType ).
tff(type_def_71,type,
'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).
tff(type_def_72,type,
'Nat_int_fun$': $tType ).
tff(type_def_73,type,
'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$': $tType ).
tff(type_def_74,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun$': $tType ).
tff(func_def_0,type,
'fun_app$g': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_1,type,
'inf$d': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_fun$' ).
tff(func_def_2,type,
'uuh$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).
tff(func_def_3,type,
'fun_app$l': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun_fun$' * 'Nat$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun$' ).
tff(func_def_4,type,
'case_prod$a': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_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_5,type,
'psi_1$': 'A_TESL_atomic_list$' ).
tff(func_def_6,type,
'bot$a': 'A_run_set$' ).
tff(func_def_7,type,
'uuk$': 'A_run_bool_fun$' ).
tff(func_def_8,type,
def_3: ( 'A_run_bool_fun$' * 'A_run$' ) > tlbool ).
tff(func_def_9,type,
'collect$a': 'Nat_nat_prod_bool_fun$' > 'Nat_nat_prod_set$' ).
tff(func_def_10,type,
'fun_app$c': ( '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_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ).
tff(func_def_11,type,
'gamma_1$': 'A_constr_list$' ).
tff(func_def_12,type,
'sup$d': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ).
tff(func_def_13,type,
'inf$m': tlbool > 'Bool_bool_fun$' ).
tff(func_def_14,type,
'implies$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_15,type,
'fun_app$x': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).
tff(func_def_16,type,
'strictlyPrecedes$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_17,type,
'fun_app$ad': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_18,type,
'cons$b': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).
tff(func_def_19,type,
'bot$f': 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).
tff(func_def_20,type,
def_1: ( 'Nat_nat_bool_fun_fun$' * 'Nat$' * 'Nat$' ) > tlbool ).
tff(func_def_21,type,
'fun_app$ab': ( 'Nat_nat_nat_fun_fun$' * 'Nat$' ) > 'Nat_nat_fun$' ).
tff(func_def_22,type,
'uui$': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ).
tff(func_def_23,type,
'inf$e': ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_24,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$' ).
tff(func_def_25,type,
def_5: ( 'Nat_nat_bool_fun_fun$' * 'Nat$' * 'Nat$' ) > tlbool ).
tff(func_def_26,type,
'collect$': 'A_run_bool_fun$' > 'A_run_set$' ).
tff(func_def_27,type,
'heronConf_interpretation$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_run_set$' ).
tff(func_def_28,type,
'inf$g': 'Int_int_int_fun_fun$' ).
tff(func_def_29,type,
'case_prod$b': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ).
tff(func_def_30,type,
'fun_app$z': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ).
tff(func_def_31,type,
'fun_app$k': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_32,type,
'n_1$': 'Nat$' ).
tff(func_def_33,type,
'ticks$': ( 'Clock$' * 'Nat$' ) > 'A_constr$' ).
tff(func_def_34,type,
'n$': 'Nat$' ).
tff(func_def_35,type,
'inf$k': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ).
tff(func_def_36,type,
'cons$c': ( 'A_constr_list$' * 'A_constr_list_list$' ) > 'A_constr_list_list$' ).
tff(func_def_37,type,
'fun_app$u': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_38,type,
'nil$a': 'A_constr_list$' ).
tff(func_def_39,type,
'nat$': 'Int_nat_fun$' ).
tff(func_def_40,type,
'fun_app$ag': ( 'Int_a_run_set_fun$' * $int ) > 'A_run_set$' ).
tff(func_def_41,type,
'tESL_interpretation_stepwise$': 'A_TESL_atomic_list$' > 'Nat_a_run_set_fun$' ).
tff(func_def_42,type,
'case_prod$d': ( '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_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ).
tff(func_def_43,type,
'weaklyPrecedes$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_44,type,
'fun_app$j': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' ).
tff(func_def_45,type,
'k_2$': 'Clock$' ).
tff(func_def_46,type,
'sporadicOn$': ( 'Clock$' * 'A_tag_const$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_47,type,
'impliesNot$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).
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$' ).
tff(func_def_49,type,
'inf$l': ( 'A_TESL_atomic_list_bool_fun$' * 'A_TESL_atomic_list_bool_fun$' ) > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_50,type,
'bot$c': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).
tff(func_def_51,type,
'collect$b': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ).
tff(func_def_52,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_53,type,
'pair$d': ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ).
tff(func_def_54,type,
'inf$n': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' ).
tff(func_def_55,type,
'pair$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_fun_fun$' ).
tff(func_def_56,type,
'pair$a': 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_fun$' ).
tff(func_def_57,type,
'tickCntArith$': ( 'Cnt_expr$' * 'Cnt_expr$' * 'Nat_nat_prod_bool_fun$' ) > 'A_constr$' ).
tff(func_def_58,type,
'operational_semantics_intro$': '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_59,type,
'cons$': ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_60,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$' ).
tff(func_def_61,type,
'fun_app$ai': ( 'A_run_set_int_fun$' * 'A_run_set$' ) > $int ).
tff(func_def_62,type,
'case_prod$c': 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' ).
tff(func_def_63,type,
'bot$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ).
tff(func_def_64,type,
'sup$c': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).
tff(func_def_65,type,
'inf$': 'A_run_set_a_run_set_a_run_set_fun_fun$' ).
tff(func_def_66,type,
'fun_app$ah': ( 'A_run_set_nat_fun$' * 'A_run_set$' ) > 'Nat$' ).
tff(func_def_67,type,
'phi_1$': 'A_TESL_atomic_list$' ).
tff(func_def_68,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_69,type,
'inf$c': 'A_run_bool_fun$' > 'A_run_bool_fun_a_run_bool_fun_fun$' ).
tff(func_def_70,type,
'uue$': ( 'A_run_set$' * 'A_run_bool_fun$' ) > 'A_run_bool_fun$' ).
tff(func_def_71,type,
'nil$': '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,
'psi_2$': 'A_TESL_atomic_list$' ).
tff(func_def_74,type,
tltrue: tlbool ).
tff(func_def_75,type,
'inf$a': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_fun$' ).
tff(func_def_76,type,
'fun_app$f': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_77,type,
'uuc$': ( 'Bool_bool_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_78,type,
'phi_2$': 'A_TESL_atomic_list$' ).
tff(func_def_79,type,
'n_2$': 'Nat$' ).
tff(func_def_80,type,
'uud$': 'A_run_set$' > 'A_run_bool_fun$' ).
tff(func_def_81,type,
'fun_app$am': ( 'A_constr_list_a_constr_list_bool_fun_fun$' * 'A_constr_list$' ) > 'A_constr_list_bool_fun$' ).
tff(func_def_82,type,
'fun_app$r': ( 'A_run_set_a_run_set_a_run_set_fun_fun$' * 'A_run_set$' ) > 'A_run_set_a_run_set_fun$' ).
tff(func_def_83,type,
'uub$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_84,type,
'psi$': 'A_TESL_atomic_list$' ).
tff(func_def_85,type,
'inf$h': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_86,type,
'uuf$': ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run_bool_fun$' ).
tff(func_def_87,type,
'gamma_2$': 'A_constr_list$' ).
tff(func_def_88,type,
'gamma$': 'A_constr_list$' ).
tff(func_def_89,type,
'sup$h': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_90,type,
'bot$g': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_91,type,
'pair$h': ( 'A_TESL_atomic_a_TESL_atomic_fun$' * '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_92,type,
'fun_app$aa': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_93,type,
'case_prod$f': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_94,type,
'sup$': 'A_run_set_a_run_set_a_run_set_fun_fun$' ).
tff(func_def_95,type,
'fun_app$af': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_96,type,
'pair$f': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic_list_nat_prod$' ).
tff(func_def_97,type,
'fun_app$w': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ).
tff(func_def_98,type,
'fun_app$ac': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_99,type,
'insert$a': 'A_run$' > 'A_run_set_a_run_set_fun$' ).
tff(func_def_100,type,
'bot$e': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ).
tff(func_def_101,type,
'nil$b': 'A_TESL_atomic_list_list$' ).
tff(func_def_102,type,
'sup$e': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ).
tff(func_def_103,type,
'fun_app$n': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_104,type,
'sup$g': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).
tff(func_def_105,type,
tlfalse: tlbool ).
tff(func_def_106,type,
'pair$c': ( 'Nat$' * 'Nat$' ) > 'Nat_nat_prod$' ).
tff(func_def_107,type,
'pair$g': ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list_a_constr_list_prod$' ).
tff(func_def_108,type,
def_2: ( 'A_run_bool_fun$' * 'A_run$' ) > tlbool ).
tff(func_def_109,type,
'insert$': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ).
tff(func_def_110,type,
'case_prod$': 'Nat_nat_bool_fun_fun$' > 'Nat_nat_prod_bool_fun$' ).
tff(func_def_111,type,
'nil$c': 'A_constr_list_list$' ).
tff(func_def_112,type,
'tickCountLeq$': ( 'Clock$' * 'Nat$' ) > 'Cnt_expr$' ).
tff(func_def_113,type,
'notTicks$': ( 'Clock$' * 'Nat$' ) > 'A_constr$' ).
tff(func_def_114,type,
'bot$d': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ).
tff(func_def_115,type,
'inf$j': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ).
tff(func_def_116,type,
'uu$': ( tlbool * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_117,type,
'fun_app$s': ( 'Nat_a_run_set_fun$' * 'Nat$' ) > 'A_run_set$' ).
tff(func_def_118,type,
'fun_app$d': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_fun_fun$' * 'A_constr_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_fun$' ).
tff(func_def_119,type,
'sup$f': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * '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_120,type,
'pair$b': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun_fun$' ).
tff(func_def_121,type,
'fun_app$q': ( 'A_run_set_a_run_set_fun$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_122,type,
'timestamp$': ( 'Clock$' * 'Nat$' * 'A_tag_const$' ) > 'A_constr$' ).
tff(func_def_123,type,
'fun_app$b': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'A_constr_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ).
tff(func_def_124,type,
'k_1$': 'Clock$' ).
tff(func_def_125,type,
'uug$': ( 'A_run_set$' * 'A_run_set$' ) > 'A_run_bool_fun$' ).
tff(func_def_126,type,
def_6: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > tlbool ).
tff(func_def_127,type,
'sup$a': 'Nat_nat_nat_fun_fun$' ).
tff(func_def_128,type,
'inf$f': 'Nat_nat_nat_fun_fun$' ).
tff(func_def_129,type,
'case_prod$e': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_130,type,
'bot$b': 'Nat$' ).
tff(func_def_131,type,
'phi$': 'A_TESL_atomic_list$' ).
tff(func_def_132,type,
def_4: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > tlbool ).
tff(func_def_133,type,
'inf$b': 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' ).
tff(func_def_134,type,
'inf$i': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * '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_135,type,
'fun_app$ak': ( 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_bool_fun$' ).
tff(func_def_136,type,
'fun_app$h': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$' ).
tff(func_def_137,type,
'tickCountLess$': ( 'Clock$' * 'Nat$' ) > 'Cnt_expr$' ).
tff(func_def_138,type,
'fun_app$al': ( 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_constr_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_139,type,
'uuj$': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).
tff(func_def_140,type,
'uua$': 'Nat_nat_prod_bool_fun$' > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_141,type,
'fun_app$t': ( 'Int_nat_fun$' * $int ) > 'Nat$' ).
tff(func_def_142,type,
'sup$b': 'Int_int_int_fun_fun$' ).
tff(func_def_143,type,
'less_eq$f': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_144,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_145,type,
'fun_app$y': ( 'A_run_bool_fun_a_run_bool_fun_fun$' * 'A_run_bool_fun$' ) > 'A_run_bool_fun$' ).
tff(func_def_146,type,
'cons$a': ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).
tff(func_def_147,type,
'symbolic_run_interpretation$': 'A_constr_list$' > 'A_run_set$' ).
tff(func_def_152,type,
sK7: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_153,type,
sK8: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_154,type,
sK9: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_155,type,
sK10: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_156,type,
sK11: ( '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$' ).
tff(func_def_157,type,
sK12: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_158,type,
sK13: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_159,type,
sK14: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_160,type,
sK15: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_161,type,
sK16: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_162,type,
sK17: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_163,type,
sK18: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_164,type,
sK19: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_165,type,
sK20: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_166,type,
sK21: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_167,type,
sK22: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_168,type,
sK23: 'Int_a_run_set_fun$' > $int ).
tff(func_def_169,type,
sK24: 'Int_a_run_set_fun$' > $int ).
tff(func_def_170,type,
sK25: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_171,type,
sK26: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_172,type,
sK27: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_173,type,
sK28: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_174,type,
sK29: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_175,type,
sK30: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_176,type,
sK31: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_177,type,
sK32: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_178,type,
sK33: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_179,type,
sK34: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_180,type,
sK35: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_181,type,
sK36: 'Int_a_run_set_fun$' > $int ).
tff(func_def_182,type,
sK37: 'Int_a_run_set_fun$' > $int ).
tff(func_def_183,type,
sK38: 'Int_a_run_set_fun$' > $int ).
tff(func_def_184,type,
sK39: 'Int_a_run_set_fun$' > $int ).
tff(func_def_185,type,
sK40: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_186,type,
sK41: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_187,type,
sK42: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_188,type,
sK43: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_189,type,
sK44: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_190,type,
sK45: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_191,type,
sK46: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).
tff(func_def_192,type,
sK47: 'Int_int_fun$' > $int ).
tff(func_def_193,type,
sK48: 'Int_int_fun$' > $int ).
tff(func_def_194,type,
sK49: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_195,type,
sK50: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_196,type,
sK51: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_197,type,
sK52: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_198,type,
sK53: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_199,type,
sK54: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_200,type,
sK55: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_201,type,
sK56: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_202,type,
sK57: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_203,type,
sK58: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_204,type,
sK59: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_205,type,
sK60: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_206,type,
sK61: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_207,type,
sK62: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_208,type,
sK63: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_209,type,
sK64: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_210,type,
sK65: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).
tff(func_def_211,type,
sK66: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_212,type,
sK67: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_213,type,
sK68: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_214,type,
sK69: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_215,type,
sK70: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_216,type,
sK71: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_217,type,
sK72: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_218,type,
sK73: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_219,type,
sK74: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_220,type,
sK75: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_221,type,
sK76: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_222,type,
sK77: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_223,type,
sK78: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_224,type,
sK79: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_225,type,
sK80: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_226,type,
sK81: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_227,type,
sK82: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_228,type,
sK83: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_229,type,
sK84: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_230,type,
sK85: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_231,type,
sK86: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_232,type,
sK87: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_233,type,
sK88: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_234,type,
sK89: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_235,type,
sK90: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_236,type,
sK91: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_237,type,
sK92: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list$' ).
tff(func_def_238,type,
sK93: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_239,type,
sK94: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_240,type,
sK95: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_241,type,
sK96: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_242,type,
sK97: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_243,type,
sK98: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_244,type,
sK99: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_245,type,
sK100: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_246,type,
sK101: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_247,type,
sK102: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_248,type,
sK103: 'A_constr_list_list$' > 'A_constr_list$' ).
tff(func_def_249,type,
sK104: 'A_constr_list_list$' > 'A_constr$' ).
tff(func_def_250,type,
sK105: 'A_constr_list_list$' > 'A_constr_list_list$' ).
tff(func_def_251,type,
sK106: 'A_constr_list_list$' > 'A_constr_list_list$' ).
tff(func_def_252,type,
sK107: 'Int_a_run_set_fun$' > $int ).
tff(func_def_253,type,
sK108: 'Int_a_run_set_fun$' > $int ).
tff(func_def_254,type,
sK109: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_255,type,
sK110: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_256,type,
sK111: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_257,type,
sK112: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_258,type,
sK113: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_259,type,
sK114: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_260,type,
sK115: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_261,type,
sK116: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_262,type,
sK117: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_263,type,
sK118: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_264,type,
sK119: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_265,type,
sK120: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_266,type,
sK121: 'A_constr_list_bool_fun$' > 'A_constr$' ).
tff(func_def_267,type,
sK122: 'A_constr_list_bool_fun$' > 'A_constr_list$' ).
tff(func_def_268,type,
sK123: 'A_constr_list_bool_fun$' > 'A_constr$' ).
tff(func_def_269,type,
sK124: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_270,type,
sK125: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_271,type,
sK126: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_272,type,
sK127: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_273,type,
sK128: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_274,type,
sK129: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_275,type,
sK130: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_constr_list$' ).
tff(func_def_276,type,
sK131: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'Nat$' ).
tff(func_def_277,type,
sK132: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_278,type,
sK133: ( '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$' ).
tff(func_def_279,type,
sK134: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_280,type,
sK135: ( '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$' ).
tff(func_def_281,type,
sK136: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_282,type,
sK137: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_283,type,
sK138: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_284,type,
sK139: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_285,type,
sK140: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_286,type,
sK141: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_287,type,
sK142: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_288,type,
sK143: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_289,type,
sK144: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_290,type,
sK145: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_291,type,
sK146: 'Int_nat_fun$' > $int ).
tff(func_def_292,type,
sK147: 'Int_nat_fun$' > $int ).
tff(func_def_293,type,
sK148: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_294,type,
sK149: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_295,type,
sK150: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_296,type,
sK151: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_297,type,
sK152: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_298,type,
sK153: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_299,type,
sK154: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_300,type,
sK155: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_301,type,
sK156: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_302,type,
sK157: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_303,type,
sK158: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_304,type,
sK159: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_305,type,
sK160: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_306,type,
sK161: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_307,type,
sK162: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_308,type,
sK163: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_309,type,
sK164: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_310,type,
sK165: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_311,type,
sK166: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_312,type,
sK167: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_313,type,
sK168: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_314,type,
sK169: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_315,type,
sK170: '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_316,type,
sK171: '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_317,type,
sK172: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_318,type,
sK173: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_319,type,
sK174: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_320,type,
sK175: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_321,type,
sK176: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_322,type,
sK177: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_323,type,
sK178: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_324,type,
sK179: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_325,type,
sK180: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_326,type,
sK181: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_327,type,
sK182: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_328,type,
sK183: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_329,type,
sK184: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_330,type,
sK185: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_331,type,
sK186: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_332,type,
sK187: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_333,type,
sK188: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_334,type,
sK189: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_335,type,
sK190: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_336,type,
sK191: 'Int_int_fun$' > $int ).
tff(func_def_337,type,
sK192: 'Int_int_fun$' > $int ).
tff(func_def_338,type,
sK193: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_339,type,
sK194: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_340,type,
sK195: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_341,type,
sK196: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_342,type,
sK197: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_343,type,
sK198: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_344,type,
sK199: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_345,type,
sK200: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_346,type,
sK201: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_347,type,
sK202: 'A_run_set$' ).
tff(func_def_348,type,
sK203: 'A_run_set$' ).
tff(func_def_349,type,
sK204: 'A_run_set$' ).
tff(func_def_350,type,
sK205: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_351,type,
sK206: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_352,type,
sK207: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_353,type,
sK208: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_354,type,
sK209: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_355,type,
sK210: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_356,type,
sK211: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_357,type,
sK212: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_358,type,
sK213: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_359,type,
sK214: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_360,type,
sK215: ( 'Nat_nat_bool_fun_fun$' * 'Bool_bool_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_361,type,
sK216: ( 'Nat_nat_bool_fun_fun$' * 'Bool_bool_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_362,type,
sK217: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_363,type,
sK218: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_364,type,
sK219: 'Int_int_fun$' > $int ).
tff(func_def_365,type,
sK220: 'Int_int_fun$' > $int ).
tff(func_def_366,type,
sK221: 'Int_nat_fun$' > $int ).
tff(func_def_367,type,
sK222: 'Int_nat_fun$' > $int ).
tff(func_def_368,type,
sK223: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_369,type,
sK224: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_370,type,
sK225: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_371,type,
sK226: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_372,type,
sK227: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_373,type,
sK228: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_374,type,
sK229: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_375,type,
sK230: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_376,type,
sK231: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_377,type,
sK232: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).
tff(func_def_378,type,
sK233: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).
tff(func_def_379,type,
sK234: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).
tff(func_def_380,type,
sK235: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic$' ).
tff(func_def_381,type,
sK236: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_382,type,
sK237: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).
tff(func_def_383,type,
sK238: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_384,type,
sK239: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_385,type,
sK240: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_386,type,
sK241: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_387,type,
sK242: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_388,type,
sK243: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_389,type,
sK244: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_390,type,
sK245: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_391,type,
sK246: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_392,type,
sK247: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_393,type,
sK248: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_394,type,
sK249: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_395,type,
sK250: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_396,type,
sK251: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_397,type,
sK252: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_398,type,
sK253: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat$' ).
tff(func_def_399,type,
sK254: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_400,type,
sK255: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > 'A_constr_list$' ).
tff(func_def_401,type,
sK256: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_402,type,
sK257: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_403,type,
sK258: ( '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$' ).
tff(func_def_404,type,
sK259: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_405,type,
sK260: ( '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$' ).
tff(func_def_406,type,
sK261: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_407,type,
sK262: ( '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$' ).
tff(func_def_408,type,
sK263: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_409,type,
sK264: ( '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$' ).
tff(func_def_410,type,
sK265: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_411,type,
sK266: ( '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$' ).
tff(func_def_412,type,
sK267: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_413,type,
sK268: ( '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$' ).
tff(func_def_414,type,
sK269: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_415,type,
sK270: ( '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$' ).
tff(func_def_416,type,
sK271: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_417,type,
sK272: ( '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$' ).
tff(func_def_418,type,
sK273: 'Int_int_fun$' > $int ).
tff(func_def_419,type,
sK274: 'Int_int_fun$' > $int ).
tff(func_def_420,type,
sK275: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_421,type,
sK276: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_422,type,
sK277: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_423,type,
sK278: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_424,type,
sK279: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_425,type,
sK280: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_426,type,
sK281: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_427,type,
sK282: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).
tff(func_def_428,type,
sK283: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).
tff(func_def_429,type,
sK284: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_430,type,
sK285: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic$' ).
tff(func_def_431,type,
sK286: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'Nat$' ).
tff(func_def_432,type,
sK287: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_433,type,
sK288: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_434,type,
sK289: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_435,type,
sK290: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_436,type,
sK291: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_437,type,
sK292: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_438,type,
sK293: 'A_run_set$' ).
tff(func_def_439,type,
sK294: 'A_run_set$' ).
tff(func_def_440,type,
sK295: 'A_run_set$' ).
tff(func_def_441,type,
sK296: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_442,type,
sK297: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * '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_443,type,
sK298: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_444,type,
sK299: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_445,type,
sK300: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_446,type,
sK301: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_447,type,
sK302: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_448,type,
sK303: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_449,type,
sK304: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_450,type,
sK305: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_451,type,
sK306: '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_452,type,
sK307: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_453,type,
sK308: 'Cnt_expr$' > 'Nat$' ).
tff(func_def_454,type,
sK309: 'Cnt_expr$' > 'Clock$' ).
tff(func_def_455,type,
sK310: 'Cnt_expr$' > 'Clock$' ).
tff(func_def_456,type,
sK311: 'Cnt_expr$' > 'Nat$' ).
tff(func_def_457,type,
sK312: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_458,type,
sK313: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_459,type,
sK314: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ).
tff(func_def_460,type,
sK315: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_461,type,
sK316: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_462,type,
sK317: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_463,type,
sK318: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_464,type,
sK319: ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_465,type,
sK320: ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_466,type,
sK321: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_467,type,
sK322: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_468,type,
sK323: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_469,type,
sK324: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_470,type,
sK325: 'Nat$' > 'Nat$' ).
tff(func_def_471,type,
sK326: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_472,type,
sK327: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_473,type,
sK328: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_474,type,
sK329: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_475,type,
sK330: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_476,type,
sK331: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_477,type,
sK332: 'Int_nat_fun$' > $int ).
tff(func_def_478,type,
sK333: 'Int_nat_fun$' > $int ).
tff(func_def_479,type,
sK334: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_480,type,
sK335: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_481,type,
sK336: '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_482,type,
sK337: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_483,type,
sK338: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_484,type,
sK339: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_485,type,
sK340: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_486,type,
sK341: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_487,type,
sK342: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_488,type,
sK343: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_489,type,
sK344: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_490,type,
sK345: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_491,type,
sK346: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_492,type,
sK347: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_493,type,
sK348: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_494,type,
sK349: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_495,type,
sK350: ( 'Nat_nat_prod_bool_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_496,type,
sK351: ( 'Nat_nat_prod_bool_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_497,type,
sK352: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_498,type,
sK353: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_499,type,
sK354: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_500,type,
sK355: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_501,type,
sK356: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_502,type,
sK357: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_503,type,
sK358: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_504,type,
sK359: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_505,type,
sK360: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_506,type,
sK361: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_507,type,
sK362: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_508,type,
sK363: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_509,type,
sK364: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_510,type,
sK365: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_511,type,
sK366: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_512,type,
sK367: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_513,type,
sK368: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_514,type,
sK369: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_515,type,
sK370: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_516,type,
sK371: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_517,type,
sK372: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_518,type,
sK373: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic$' ).
tff(func_def_519,type,
sK374: '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,
sK375: '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_521,type,
sK376: '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_522,type,
sK377: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_523,type,
sK378: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_524,type,
sK379: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_525,type,
sK380: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_526,type,
sK381: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_527,type,
sK382: '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_528,type,
sK383: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_529,type,
sK384: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_530,type,
sK385: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_531,type,
sK386: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_532,type,
sK387: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_533,type,
sK388: ( 'A_run_set$' * 'A_run_set$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_534,type,
sK389: ( 'A_run_set$' * 'A_run_set$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_535,type,
sK390: 'Int_nat_fun$' > $int ).
tff(func_def_536,type,
sK391: 'Int_nat_fun$' > $int ).
tff(pred_def_1,type,
'fun_app$i': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > $o ).
tff(pred_def_2,type,
'less_eq$c': ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > $o ).
tff(pred_def_3,type,
'fun_app$p': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_4,type,
'fun_app$m': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_5,type,
'member$': ( 'A_run$' * 'A_run_set$' ) > $o ).
tff(pred_def_6,type,
'fun_app$o': ( 'Nat_nat_prod_bool_fun$' * 'Nat_nat_prod$' ) > $o ).
tff(pred_def_7,type,
'less_eq$': ( 'A_run_set$' * 'A_run_set$' ) > $o ).
tff(pred_def_8,type,
'less_eq$h': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).
tff(pred_def_9,type,
'less_eq$e': ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > $o ).
tff(pred_def_10,type,
'fun_app$a': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).
tff(pred_def_11,type,
'fun_app$ae': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_12,type,
'less_eq$g': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).
tff(pred_def_13,type,
'fun_app$v': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).
tff(pred_def_14,type,
'member$a': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).
tff(pred_def_15,type,
'less_eq$d': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > $o ).
tff(pred_def_16,type,
'less_eq$j': ( 'Nat_nat_prod_set$' * 'Nat_nat_prod_set$' ) > $o ).
tff(pred_def_17,type,
'less_eq$b': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > $o ).
tff(pred_def_18,type,
'fun_app$': ( 'A_run_bool_fun$' * 'A_run$' ) > $o ).
tff(pred_def_19,type,
'member$c': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).
tff(pred_def_20,type,
'fun_app$aj': ( 'A_constr_list_bool_fun$' * 'A_constr_list$' ) > $o ).
tff(pred_def_21,type,
'less_eq$i': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).
tff(pred_def_22,type,
'member$b': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).
tff(pred_def_23,type,
'less_eq$a': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > $o ).
tff(pred_def_24,type,
'fun_app$e': ( 'A_TESL_atomic_list_bool_fun$' * 'A_TESL_atomic_list$' ) > $o ).
tff(pred_def_27,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_28,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_29,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_30,type,
sP3: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).
tff(pred_def_31,type,
sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_32,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_33,type,
sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(f4294,plain,
$false,
inference(subsumption_resolution,[],[f4293,f3972]) ).
tff(f3972,plain,
! [X1: 'A_run_set$'] : 'less_eq$'(X1,X1),
inference(equality_resolution,[],[f3584]) ).
tff(f3584,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( 'less_eq$'(X1,X0)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1625]) ).
tff(f1625,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( 'less_eq$'(X1,X0)
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f83]) ).
tff(f83,axiom,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( ( X0 = X1 )
=> 'less_eq$'(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom81) ).
tff(f4293,plain,
~ 'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$')))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4292,f3834]) ).
tff(f3834,plain,
! [X2: 'Nat$',X3: 'Clock$',X0: 'A_constr_list$',X1: 'Clock$',X4: 'A_TESL_atomic_list$',X5: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X3,X2),'tickCountLeq$'(X1,X2),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a',X5),'cons$'('weaklyPrecedes$'(X1,X3),X4))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X1,X3),X5)),X4)))) ),
inference(cnf_transformation,[],[f2797]) ).
tff(f2797,plain,
! [X0: 'A_constr_list$',X1: 'Clock$',X2: 'Nat$',X3: 'Clock$',X4: 'A_TESL_atomic_list$',X5: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X3,X2),'tickCountLeq$'(X1,X2),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a',X5),'cons$'('weaklyPrecedes$'(X1,X3),X4))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X1,X3),X5)),X4)))) ),
inference(rectify,[],[f965]) ).
tff(f965,plain,
! [X4: 'A_constr_list$',X3: 'Clock$',X0: 'Nat$',X2: 'Clock$',X1: 'A_TESL_atomic_list$',X5: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X2,X0),'tickCountLeq$'(X3,X0),'case_prod$'('less_eq$f')),X4)),'fun_app$k'('fun_app$l'('pair$b',X0),'fun_app$g'('fun_app$h'('pair$a',X5),'cons$'('weaklyPrecedes$'(X3,X2),X1))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X4),'fun_app$k'('fun_app$l'('pair$b',X0),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X3,X2),X5)),X1)))) ),
inference(rectify,[],[f259]) ).
tff(f259,axiom,
! [X1: 'Nat$',X5: 'A_TESL_atomic_list$',X3: 'Clock$',X2: 'Clock$',X0: 'A_constr_list$',X4: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X2,X3),X4)),X5)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X3,X1),'tickCountLeq$'(X2,X1),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X4),'cons$'('weaklyPrecedes$'(X2,X3),X5))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom257) ).
tff(f4292,plain,
~ 'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$'))))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4291,f3681]) ).
tff(f3681,plain,
'fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))) = 'fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$')))),
inference(cnf_transformation,[],[f196]) ).
tff(f196,axiom,
'fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))) = 'fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom194) ).
tff(f4291,plain,
~ 'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4290,f4259]) ).
tff(f4259,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'collect$'('uug$'('symbolic_run_interpretation$'(X0),'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'(X3),X1),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$',X1)))))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) ),
inference(forward_demodulation,[],[f4258,f4087]) ).
tff(f4087,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'('collect$'('uug$'(X1,X0)),X2)) = 'collect$'('uug$'(X1,'collect$'('uug$'(X0,X2)))) ),
inference(forward_demodulation,[],[f4086,f3163]) ).
tff(f3163,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = 'collect$'('uug$'(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
tff(f236,axiom,
! [X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = 'collect$'('uug$'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom234) ).
tff(f4086,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X1,'collect$'('uug$'(X0,X2)))) = 'collect$'('uug$'('fun_app$q'('fun_app$r'('inf$',X1),X0),X2)) ),
inference(forward_demodulation,[],[f4085,f3163]) ).
tff(f4085,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X1),X0)),X2) = 'collect$'('uug$'(X1,'collect$'('uug$'(X0,X2)))) ),
inference(forward_demodulation,[],[f4057,f3163]) ).
tff(f4057,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X1),X0)),X2) = 'fun_app$q'('fun_app$r'('inf$',X1),'collect$'('uug$'(X0,X2))) ),
inference(backward_demodulation,[],[f3576,f3163]) ).
tff(f3576,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),'fun_app$q'('fun_app$r'('inf$',X0),X2)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X1),X0)),X2) ),
inference(cnf_transformation,[],[f2541]) ).
tff(f2541,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$',X2: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),'fun_app$q'('fun_app$r'('inf$',X0),X2)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X1),X0)),X2) ),
inference(rectify,[],[f1102]) ).
tff(f1102,plain,
! [X0: 'A_run_set$',X2: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X2),'fun_app$q'('fun_app$r'('inf$',X0),X1)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X2),X0)),X1) ),
inference(rectify,[],[f94]) ).
tff(f94,axiom,
! [X1: 'A_run_set$',X2: 'A_run_set$',X0: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X1),X2)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom92) ).
tff(f4258,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) = 'collect$'('uug$'('collect$'('uug$'('symbolic_run_interpretation$'(X0),'fun_app$s'('tESL_interpretation_stepwise$'(X3),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$',X1)))))) ),
inference(forward_demodulation,[],[f4257,f3163]) ).
tff(f4257,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X3),X1)),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$',X1)))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) ),
inference(forward_demodulation,[],[f4256,f782]) ).
tff(f782,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f4256,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X3),X1)),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) ),
inference(forward_demodulation,[],[f3337,f3163]) ).
tff(f3337,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X3),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) ),
inference(cnf_transformation,[],[f2319]) ).
tff(f2319,plain,
! [X0: 'A_constr_list$',X1: 'Nat$',X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X3),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X3),X2)))) ),
inference(rectify,[],[f1238]) ).
tff(f1238,plain,
! [X2: 'A_constr_list$',X3: 'Nat$',X1: 'A_TESL_atomic_list$',X0: 'A_TESL_atomic_list$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X2)),'fun_app$s'('tESL_interpretation_stepwise$'(X0),X3))),'fun_app$s'('tESL_interpretation_stepwise$'(X1),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X2),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X0),X1)))) ),
inference(rectify,[],[f289]) ).
tff(f289,axiom,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X2),X3)))) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X2),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom287) ).
tff(f4290,plain,
~ 'less_eq$'('collect$'('uug$'('symbolic_run_interpretation$'('gamma_2$'),'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_2$')))))))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4289,f4087]) ).
tff(f4289,plain,
~ 'less_eq$'('collect$'('uug$'('collect$'('uug$'('symbolic_run_interpretation$'('gamma_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_2$')))))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4288,f3163]) ).
tff(f4288,plain,
~ 'less_eq$'('collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_2$')))))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4287,f782]) ).
tff(f4287,plain,
~ 'less_eq$'('collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1))))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4286,f3163]) ).
tff(f4286,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))))),
inference(forward_demodulation,[],[f4285,f3802]) ).
tff(f3802,plain,
'fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))) = 'fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
'fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))) = 'fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).
tff(f4285,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),
inference(forward_demodulation,[],[f4284,f4259]) ).
tff(f4284,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'collect$'('uug$'('symbolic_run_interpretation$'('gamma_1$'),'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_1$'))))))))),
inference(forward_demodulation,[],[f4283,f4087]) ).
tff(f4283,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'collect$'('uug$'('collect$'('uug$'('symbolic_run_interpretation$'('gamma_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_1$'))))))),
inference(forward_demodulation,[],[f4282,f3163]) ).
tff(f4282,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum(1,'fun_app$u'('of_nat$','n_1$'))))))),
inference(forward_demodulation,[],[f4281,f782]) ).
tff(f4281,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'collect$'('uug$'('fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
inference(forward_demodulation,[],[f3736,f3163]) ).
tff(f3736,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1))))),
inference(cnf_transformation,[],[f1027]) ).
tff(f1027,plain,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1))))),
inference(flattening,[],[f14]) ).
tff(f14,negated_conjecture,
~ 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1))))),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 00:20:48 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.50 % (20343)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.51 % (20333)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (20339)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.51 % (20335)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.52 % (20347)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.52 % (20349)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.52 % (20341)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.52 % (20351)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.52 % (20355)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53 % (20335)Instruction limit reached!
% 0.16/0.53 % (20335)------------------------------
% 0.16/0.53 % (20335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (20335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (20335)Termination reason: Unknown
% 0.16/0.53 % (20335)Termination phase: shuffling
% 0.16/0.53
% 0.16/0.53 % (20335)Memory used [KB]: 1535
% 0.16/0.53 % (20335)Time elapsed: 0.003 s
% 0.16/0.53 % (20335)Instructions burned: 2 (million)
% 0.16/0.53 % (20335)------------------------------
% 0.16/0.53 % (20335)------------------------------
% 0.16/0.54 % (20331)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (20328)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.55 % (20330)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.56 % (20337)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.56 % (20354)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.56 % (20340)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.57 % (20332)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.57 % (20345)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.57 % (20334)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.57 % (20348)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.57 % (20353)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.57 % (20346)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.58 % (20356)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.58 % (20338)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.58 % (20334)Instruction limit reached!
% 0.16/0.58 % (20334)------------------------------
% 0.16/0.58 % (20334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (20342)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.59 % (20350)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.59 % (20333)Instruction limit reached!
% 0.16/0.59 % (20333)------------------------------
% 0.16/0.59 % (20333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (20334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (20334)Termination reason: Unknown
% 1.80/0.59 % (20334)Termination phase: Property scanning
% 1.80/0.59
% 1.80/0.59 % (20334)Memory used [KB]: 1663
% 1.80/0.59 % (20334)Time elapsed: 0.008 s
% 1.80/0.59 % (20334)Instructions burned: 8 (million)
% 1.80/0.59 % (20334)------------------------------
% 1.80/0.59 % (20334)------------------------------
% 1.80/0.60 % (20333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (20333)Termination reason: Unknown
% 1.80/0.60 % (20333)Termination phase: Preprocessing 3
% 1.80/0.60
% 1.80/0.60 % (20333)Memory used [KB]: 2686
% 1.80/0.60 % (20333)Time elapsed: 0.031 s
% 1.80/0.60 % (20333)Instructions burned: 51 (million)
% 1.80/0.60 % (20333)------------------------------
% 1.80/0.60 % (20333)------------------------------
% 1.80/0.61 % (20341)Instruction limit reached!
% 1.80/0.61 % (20341)------------------------------
% 1.80/0.61 % (20341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (20341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (20341)Termination reason: Unknown
% 1.80/0.62 % (20341)Termination phase: Property scanning
% 1.80/0.62
% 1.80/0.62 % (20341)Memory used [KB]: 3454
% 1.80/0.62 % (20341)Time elapsed: 0.039 s
% 1.80/0.62 % (20341)Instructions burned: 68 (million)
% 1.80/0.62 % (20341)------------------------------
% 1.80/0.62 % (20341)------------------------------
% 1.99/0.65 % (20344)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.99/0.65 % (20352)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.99/0.66 % (20331)Instruction limit reached!
% 1.99/0.66 % (20331)------------------------------
% 1.99/0.66 % (20331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (20331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (20331)Termination reason: Unknown
% 1.99/0.66 % (20331)Termination phase: Preprocessing 3
% 1.99/0.66
% 1.99/0.66 % (20331)Memory used [KB]: 2686
% 1.99/0.66 % (20331)Time elapsed: 0.034 s
% 1.99/0.66 % (20331)Instructions burned: 51 (million)
% 1.99/0.66 % (20331)------------------------------
% 1.99/0.66 % (20331)------------------------------
% 1.99/0.66 % (20328)Instruction limit reached!
% 1.99/0.66 % (20328)------------------------------
% 1.99/0.66 % (20328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (20328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (20328)Termination reason: Unknown
% 1.99/0.66 % (20328)Termination phase: Preprocessing 3
% 1.99/0.66
% 1.99/0.66 % (20328)Memory used [KB]: 2814
% 1.99/0.66 % (20328)Time elapsed: 0.033 s
% 1.99/0.66 % (20328)Instructions burned: 50 (million)
% 1.99/0.66 % (20328)------------------------------
% 1.99/0.66 % (20328)------------------------------
% 1.99/0.66 % (20339)Instruction limit reached!
% 1.99/0.66 % (20339)------------------------------
% 1.99/0.66 % (20339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (20330)Instruction limit reached!
% 1.99/0.66 % (20330)------------------------------
% 1.99/0.66 % (20330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (20330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (20330)Termination reason: Unknown
% 1.99/0.66 % (20330)Termination phase: NewCNF
% 1.99/0.66
% 1.99/0.66 % (20330)Memory used [KB]: 2814
% 1.99/0.66 % (20330)Time elapsed: 0.035 s
% 1.99/0.66 % (20330)Instructions burned: 52 (million)
% 1.99/0.66 % (20330)------------------------------
% 1.99/0.66 % (20330)------------------------------
% 1.99/0.66 % (20337)Instruction limit reached!
% 1.99/0.66 % (20337)------------------------------
% 1.99/0.66 % (20337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (20337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (20337)Termination reason: Unknown
% 1.99/0.66 % (20337)Termination phase: Preprocessing 3
% 1.99/0.66
% 1.99/0.66 % (20337)Memory used [KB]: 2814
% 1.99/0.66 % (20337)Time elapsed: 0.031 s
% 1.99/0.66 % (20337)Instructions burned: 51 (million)
% 1.99/0.66 % (20337)------------------------------
% 1.99/0.66 % (20337)------------------------------
% 2.30/0.66 % (20336)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.30/0.68 % (20343)Instruction limit reached!
% 2.30/0.68 % (20343)------------------------------
% 2.30/0.68 % (20343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (20343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (20343)Termination reason: Unknown
% 2.30/0.68 % (20343)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (20343)Memory used [KB]: 3582
% 2.30/0.68 % (20343)Time elapsed: 0.082 s
% 2.30/0.68 % (20343)Instructions burned: 100 (million)
% 2.30/0.68 % (20343)------------------------------
% 2.30/0.68 % (20343)------------------------------
% 2.30/0.68 % (20339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (20339)Termination reason: Unknown
% 2.30/0.68 % (20339)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (20339)Memory used [KB]: 8059
% 2.30/0.68 % (20339)Time elapsed: 0.061 s
% 2.30/0.68 % (20339)Instructions burned: 102 (million)
% 2.30/0.68 % (20339)------------------------------
% 2.30/0.68 % (20339)------------------------------
% 2.30/0.68 % (20329)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.30/0.68 % (20332)Instruction limit reached!
% 2.30/0.68 % (20332)------------------------------
% 2.30/0.68 % (20332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (20332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (20332)Termination reason: Unknown
% 2.30/0.68 % (20332)Termination phase: Preprocessing 3
% 2.30/0.68
% 2.30/0.68 % (20332)Memory used [KB]: 2686
% 2.30/0.68 % (20332)Time elapsed: 0.030 s
% 2.30/0.68 % (20332)Instructions burned: 48 (million)
% 2.30/0.68 % (20332)------------------------------
% 2.30/0.68 % (20332)------------------------------
% 2.30/0.69 % (20358)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.30/0.70 % (20327)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.30/0.72 % (20342)Instruction limit reached!
% 2.30/0.72 % (20342)------------------------------
% 2.30/0.72 % (20342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.72 % (20342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.72 % (20342)Termination reason: Unknown
% 2.30/0.72 % (20342)Termination phase: Property scanning
% 2.30/0.72
% 2.30/0.72 % (20342)Memory used [KB]: 3582
% 2.30/0.72 % (20342)Time elapsed: 0.045 s
% 2.30/0.72 % (20342)Instructions burned: 75 (million)
% 2.30/0.72 % (20342)------------------------------
% 2.30/0.72 % (20342)------------------------------
% 2.30/0.73 % (20353)Instruction limit reached!
% 2.30/0.73 % (20353)------------------------------
% 2.30/0.73 % (20353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.73 % (20353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.73 % (20353)Termination reason: Unknown
% 2.30/0.73 % (20353)Termination phase: Property scanning
% 2.30/0.73
% 2.30/0.73 % (20353)Memory used [KB]: 3454
% 2.30/0.73 % (20353)Time elapsed: 0.042 s
% 2.30/0.73 % (20353)Instructions burned: 69 (million)
% 2.30/0.73 % (20353)------------------------------
% 2.30/0.73 % (20353)------------------------------
% 2.83/0.74 % (20345)Instruction limit reached!
% 2.83/0.74 % (20345)------------------------------
% 2.83/0.74 % (20345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.74 % (20345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.74 % (20345)Termination reason: Unknown
% 2.83/0.74 % (20345)Termination phase: Saturation
% 2.83/0.74
% 2.83/0.74 % (20345)Memory used [KB]: 8187
% 2.83/0.74 % (20345)Time elapsed: 0.058 s
% 2.83/0.74 % (20345)Instructions burned: 100 (million)
% 2.83/0.74 % (20345)------------------------------
% 2.83/0.74 % (20345)------------------------------
% 2.83/0.76 % (20329)Instruction limit reached!
% 2.83/0.76 % (20329)------------------------------
% 2.83/0.76 % (20329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.76 % (20329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.76 % (20329)Termination reason: Unknown
% 2.83/0.76 % (20329)Termination phase: SInE selection
% 2.83/0.76
% 2.83/0.76 % (20329)Memory used [KB]: 1663
% 2.83/0.76 % (20329)Time elapsed: 0.026 s
% 2.83/0.76 % (20329)Instructions burned: 37 (million)
% 2.83/0.76 % (20329)------------------------------
% 2.83/0.76 % (20329)------------------------------
% 2.83/0.77 % (20340)Instruction limit reached!
% 2.83/0.77 % (20340)------------------------------
% 2.83/0.77 % (20340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.77 % (20340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.77 % (20340)Termination reason: Unknown
% 2.83/0.77 % (20340)Termination phase: Saturation
% 2.83/0.77
% 2.83/0.77 % (20340)Memory used [KB]: 8187
% 2.83/0.77 % (20340)Time elapsed: 0.061 s
% 2.83/0.77 % (20340)Instructions burned: 99 (million)
% 2.83/0.77 % (20340)------------------------------
% 2.83/0.77 % (20340)------------------------------
% 2.83/0.77 % (20338)Instruction limit reached!
% 2.83/0.77 % (20338)------------------------------
% 2.83/0.77 % (20338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.77 % (20338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.77 % (20338)Termination reason: Unknown
% 2.83/0.77 % (20338)Termination phase: Saturation
% 2.83/0.77
% 2.83/0.77 % (20338)Memory used [KB]: 7803
% 2.83/0.77 % (20338)Time elapsed: 0.059 s
% 2.83/0.77 % (20338)Instructions burned: 101 (million)
% 2.83/0.77 % (20338)------------------------------
% 2.83/0.77 % (20338)------------------------------
% 2.83/0.78 % (20346)Instruction limit reached!
% 2.83/0.78 % (20346)------------------------------
% 2.83/0.78 % (20346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.78 % (20346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.78 % (20346)Termination reason: Unknown
% 2.83/0.78 % (20346)Termination phase: Property scanning
% 2.83/0.78
% 2.83/0.78 % (20346)Memory used [KB]: 3709
% 2.83/0.78 % (20346)Time elapsed: 0.061 s
% 2.83/0.78 % (20346)Instructions burned: 100 (million)
% 2.83/0.78 % (20346)------------------------------
% 2.83/0.78 % (20346)------------------------------
% 3.03/0.78 % (20347)Instruction limit reached!
% 3.03/0.78 % (20347)------------------------------
% 3.03/0.78 % (20347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.78 % (20347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.78 % (20347)Termination reason: Unknown
% 3.03/0.78 % (20347)Termination phase: Saturation
% 3.03/0.78
% 3.03/0.78 % (20347)Memory used [KB]: 9210
% 3.03/0.78 % (20347)Time elapsed: 0.158 s
% 3.03/0.78 % (20347)Instructions burned: 176 (million)
% 3.03/0.78 % (20347)------------------------------
% 3.03/0.78 % (20347)------------------------------
% 3.03/0.79 % (20336)Instruction limit reached!
% 3.03/0.79 % (20336)------------------------------
% 3.03/0.79 % (20336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.79 % (20336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.79 % (20336)Termination reason: Unknown
% 3.03/0.79 % (20336)Termination phase: Preprocessing 3
% 3.03/0.79
% 3.03/0.79 % (20336)Memory used [KB]: 2686
% 3.03/0.79 % (20336)Time elapsed: 0.035 s
% 3.03/0.79 % (20336)Instructions burned: 51 (million)
% 3.03/0.79 % (20336)------------------------------
% 3.03/0.79 % (20336)------------------------------
% 3.03/0.80 % (20360)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.03/0.81 % (20359)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.03/0.81 % (20344)Instruction limit reached!
% 3.03/0.81 % (20344)------------------------------
% 3.03/0.81 % (20344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.81 % (20344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.81 % (20344)Termination reason: Unknown
% 3.03/0.81 % (20344)Termination phase: Preprocessing 3
% 3.03/0.81
% 3.03/0.81 % (20344)Memory used [KB]: 3454
% 3.03/0.81 % (20344)Time elapsed: 0.042 s
% 3.03/0.81 % (20344)Instructions burned: 60 (million)
% 3.03/0.81 % (20344)------------------------------
% 3.03/0.81 % (20344)------------------------------
% 3.24/0.83 % (20361)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.28/0.86 % (20366)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.28/0.86 % (20348)Instruction limit reached!
% 3.28/0.86 % (20348)------------------------------
% 3.28/0.86 % (20348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.28/0.86 % (20348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.28/0.86 % (20348)Termination reason: Unknown
% 3.28/0.86 % (20348)Termination phase: Saturation
% 3.28/0.86
% 3.28/0.86 % (20348)Memory used [KB]: 8699
% 3.28/0.86 % (20348)Time elapsed: 0.090 s
% 3.28/0.86 % (20348)Instructions burned: 139 (million)
% 3.28/0.86 % (20348)------------------------------
% 3.28/0.86 % (20348)------------------------------
% 3.28/0.87 % (20365)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.28/0.87 % (20364)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.28/0.88 % (20363)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.28/0.88 % (20362)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.28/0.89 % (20368)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.28/0.90 % (20376)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.28/0.91 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.28/0.91 % (20367)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.49/0.96 % (20369)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.61/0.97 % (20370)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.61/0.98 % (20350)First to succeed.
% 3.61/0.98 % (20354)Instruction limit reached!
% 3.61/0.98 % (20354)------------------------------
% 3.61/0.98 % (20354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.98 % (20354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.98 % (20354)Termination reason: Unknown
% 3.61/0.98 % (20354)Termination phase: Saturation
% 3.61/0.98
% 3.61/0.98 % (20354)Memory used [KB]: 4861
% 3.61/0.98 % (20354)Time elapsed: 0.569 s
% 3.61/0.98 % (20354)Instructions burned: 177 (million)
% 3.61/0.98 % (20354)------------------------------
% 3.61/0.98 % (20354)------------------------------
% 3.61/0.98 % (20374)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.61/0.99 % (20371)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.61/1.00 % (20360)Instruction limit reached!
% 3.61/1.00 % (20360)------------------------------
% 3.61/1.00 % (20360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/1.00 % (20360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/1.00 % (20360)Termination reason: Unknown
% 3.61/1.00 % (20360)Termination phase: Property scanning
% 3.61/1.00
% 3.61/1.00 % (20360)Memory used [KB]: 3709
% 3.61/1.00 % (20360)Time elapsed: 0.058 s
% 3.61/1.00 % (20360)Instructions burned: 91 (million)
% 3.61/1.00 % (20360)------------------------------
% 3.61/1.00 % (20360)------------------------------
% 3.61/1.00 % (20350)Refutation found. Thanks to Tanya!
% 3.61/1.00 % SZS status Theorem for theBenchmark
% 3.61/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.01 % (20350)------------------------------
% 3.61/1.01 % (20350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/1.01 % (20350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/1.01 % (20350)Termination reason: Refutation
% 3.61/1.01
% 3.61/1.01 % (20350)Memory used [KB]: 9210
% 3.61/1.01 % (20350)Time elapsed: 0.119 s
% 3.61/1.01 % (20350)Instructions burned: 172 (million)
% 3.61/1.01 % (20350)------------------------------
% 3.61/1.01 % (20350)------------------------------
% 3.61/1.01 % (20326)Success in time 0.698 s
%------------------------------------------------------------------------------