TSTP Solution File: ITP412_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n014.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 17:20:04 EDT 2022
% Result : Theorem 72.39s 9.64s
% Output : Refutation 73.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 851
% Syntax : Number of formulae : 1573 ( 106 unt; 627 typ; 0 def)
% Number of atoms : 2535 ( 249 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2485 ( 896 ~;1129 |; 148 &)
% ( 193 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number arithmetic : 1165 ( 474 atm; 297 fun; 312 num; 82 var)
% Number of types : 72 ( 70 usr; 1 ari)
% Number of type conns : 702 ( 508 >; 194 *; 0 +; 0 <<)
% Number of predicates : 190 ( 185 usr; 163 prp; 0-2 aty)
% Number of functors : 536 ( 533 usr; 51 con; 0-3 aty)
% Number of variables : 1126 (1021 !; 105 ?;1126 :)
% 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$' ).
tff(func_def_152,type,
sK0: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).
tff(func_def_153,type,
sK1: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_154,type,
sK2: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_155,type,
sK3: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_156,type,
sK4: '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_157,type,
sK5: '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_158,type,
sK6: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_159,type,
sK7: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_160,type,
sK8: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_161,type,
sK9: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_162,type,
sK10: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_163,type,
sK11: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_164,type,
sK12: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_165,type,
sK13: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_166,type,
sK14: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_167,type,
sK15: ( '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$' ).
tff(func_def_168,type,
sK16: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_169,type,
sK17: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_170,type,
sK18: '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_171,type,
sK19: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_172,type,
sK20: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_173,type,
sK21: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_174,type,
sK22: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_175,type,
sK23: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_176,type,
sK24: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_177,type,
sK25: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_178,type,
sK26: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_179,type,
sK27: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_180,type,
sK28: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_181,type,
sK29: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_182,type,
sK30: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_183,type,
sK31: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_184,type,
sK32: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_185,type,
sK33: 'Int_a_run_set_fun$' > $int ).
tff(func_def_186,type,
sK34: 'Int_a_run_set_fun$' > $int ).
tff(func_def_187,type,
sK35: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_188,type,
sK36: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_189,type,
sK37: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_190,type,
sK38: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Bool_bool_fun$' ) > 'Nat$' ).
tff(func_def_191,type,
sK39: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Bool_bool_fun$' ) > 'Nat$' ).
tff(func_def_192,type,
sK40: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_193,type,
sK41: ( '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$' ).
tff(func_def_194,type,
sK42: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_195,type,
sK43: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_196,type,
sK44: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_197,type,
sK45: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_198,type,
sK46: '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_199,type,
sK47: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_200,type,
sK48: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_201,type,
sK49: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_202,type,
sK50: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_203,type,
sK51: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_204,type,
sK52: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_205,type,
sK53: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_206,type,
sK54: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod_bool_fun$' ) > 'Nat$' ).
tff(func_def_207,type,
sK55: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod_bool_fun$' ) > 'Nat$' ).
tff(func_def_208,type,
sK56: 'Cnt_expr$' > 'Clock$' ).
tff(func_def_209,type,
sK57: 'Cnt_expr$' > 'Nat$' ).
tff(func_def_210,type,
sK58: 'Cnt_expr$' > 'Nat$' ).
tff(func_def_211,type,
sK59: 'Cnt_expr$' > 'Clock$' ).
tff(func_def_212,type,
sK60: ( '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$' ).
tff(func_def_213,type,
sK61: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_214,type,
sK62: 'Int_a_run_set_fun$' > $int ).
tff(func_def_215,type,
sK63: 'Int_a_run_set_fun$' > $int ).
tff(func_def_216,type,
sK64: ( 'A_run_set$' * 'A_run_set$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_217,type,
sK65: ( 'A_run_set$' * 'A_run_set$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_218,type,
sK66: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_219,type,
sK67: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_220,type,
sK68: ( 'A_run_bool_fun$' * 'A_run_set$' * 'A_run_bool_fun$' ) > 'A_run$' ).
tff(func_def_221,type,
sK69: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_222,type,
sK70: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_223,type,
sK71: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_224,type,
sK72: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_225,type,
sK73: 'A_run_set$' ).
tff(func_def_226,type,
sK74: 'A_run_set$' ).
tff(func_def_227,type,
sK75: 'A_run_set$' ).
tff(func_def_228,type,
sK76: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_229,type,
sK77: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_230,type,
sK78: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_231,type,
sK79: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_232,type,
sK80: 'Int_a_run_set_fun$' > $int ).
tff(func_def_233,type,
sK81: 'Int_a_run_set_fun$' > $int ).
tff(func_def_234,type,
sK82: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_235,type,
sK83: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_236,type,
sK84: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_237,type,
sK85: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_238,type,
sK86: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_239,type,
sK87: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_240,type,
sK88: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_241,type,
sK89: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_242,type,
sK90: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_243,type,
sK91: 'A_constr_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_244,type,
sK92: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_245,type,
sK93: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_246,type,
sK94: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_247,type,
sK95: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_248,type,
sK96: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_249,type,
sK97: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_250,type,
sK98: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_251,type,
sK99: 'Int_int_fun$' > $int ).
tff(func_def_252,type,
sK100: 'Int_int_fun$' > $int ).
tff(func_def_253,type,
sK101: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_254,type,
sK102: 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_255,type,
sK103: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_256,type,
sK104: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_257,type,
sK105: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_258,type,
sK106: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_259,type,
sK107: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_260,type,
sK108: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_261,type,
sK109: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_262,type,
sK110: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_263,type,
sK111: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).
tff(func_def_264,type,
sK112: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_265,type,
sK113: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_266,type,
sK114: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic$' ).
tff(func_def_267,type,
sK115: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_268,type,
sK116: 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_a_TESL_atomic_fun$' ).
tff(func_def_269,type,
sK117: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_270,type,
sK118: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_271,type,
sK119: 'A_run_set_int_fun$' > 'A_run_set$' ).
tff(func_def_272,type,
sK120: 'A_run_set$' ).
tff(func_def_273,type,
sK121: 'A_run_set$' ).
tff(func_def_274,type,
sK122: 'A_run_set$' ).
tff(func_def_275,type,
sK123: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_276,type,
sK124: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_277,type,
sK125: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_278,type,
sK126: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_279,type,
sK127: 'Int_int_fun$' > $int ).
tff(func_def_280,type,
sK128: 'Int_int_fun$' > $int ).
tff(func_def_281,type,
sK129: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_282,type,
sK130: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_283,type,
sK131: 'Nat$' > 'Nat$' ).
tff(func_def_284,type,
sK132: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_285,type,
sK133: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_286,type,
sK134: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_287,type,
sK135: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_288,type,
sK136: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_289,type,
sK137: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_290,type,
sK138: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_291,type,
sK139: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_292,type,
sK140: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_293,type,
sK141: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_294,type,
sK142: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_295,type,
sK143: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_296,type,
sK144: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_297,type,
sK145: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_298,type,
sK146: 'A_constr_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_299,type,
sK147: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_300,type,
sK148: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_301,type,
sK149: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_302,type,
sK150: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_303,type,
sK151: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_304,type,
sK152: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_305,type,
sK153: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_306,type,
sK154: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_307,type,
sK155: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_308,type,
sK156: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_309,type,
sK157: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_310,type,
sK158: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_311,type,
sK159: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_312,type,
sK160: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_313,type,
sK161: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).
tff(func_def_314,type,
sK162: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_315,type,
sK163: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic$' ).
tff(func_def_316,type,
sK164: 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_list$' ).
tff(func_def_317,type,
sK165: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_318,type,
sK166: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_319,type,
sK167: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_320,type,
sK168: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_321,type,
sK169: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).
tff(func_def_322,type,
sK170: 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic$' ).
tff(func_def_323,type,
sK171: 'Int_a_run_set_fun$' > $int ).
tff(func_def_324,type,
sK172: 'Int_a_run_set_fun$' > $int ).
tff(func_def_325,type,
sK173: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_326,type,
sK174: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_327,type,
sK175: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_328,type,
sK176: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_329,type,
sK177: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_330,type,
sK178: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_331,type,
sK179: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_332,type,
sK180: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_333,type,
sK181: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_334,type,
sK182: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_335,type,
sK183: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_336,type,
sK184: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_337,type,
sK185: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_338,type,
sK186: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_339,type,
sK187: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_340,type,
sK188: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_341,type,
sK189: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr_a_constr_bool_fun_fun$' ).
tff(func_def_342,type,
sK190: 'A_constr_a_constr_bool_fun_fun_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_343,type,
sK191: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_344,type,
sK192: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_345,type,
sK193: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_346,type,
sK194: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_347,type,
sK195: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_348,type,
sK196: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_349,type,
sK197: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_350,type,
sK198: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_351,type,
sK199: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_352,type,
sK200: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_353,type,
sK201: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_354,type,
sK202: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_355,type,
sK203: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_356,type,
sK204: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_357,type,
sK205: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_358,type,
sK206: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_359,type,
sK207: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_360,type,
sK208: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > 'A_constr_list$' ).
tff(func_def_361,type,
sK209: ( '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$' ).
tff(func_def_362,type,
sK210: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_363,type,
sK211: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_364,type,
sK212: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$' ) > 'A_constr_list$' ).
tff(func_def_365,type,
sK213: ( '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$' ).
tff(func_def_366,type,
sK214: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_367,type,
sK215: ( '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$' ).
tff(func_def_368,type,
sK216: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_369,type,
sK217: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_370,type,
sK218: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_371,type,
sK219: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_372,type,
sK220: ( 'Nat_nat_prod$' * 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_373,type,
sK221: 'Int_int_fun$' > $int ).
tff(func_def_374,type,
sK222: 'Int_int_fun$' > $int ).
tff(func_def_375,type,
sK223: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_376,type,
sK224: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_377,type,
sK225: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_378,type,
sK226: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_379,type,
sK227: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_380,type,
sK228: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_381,type,
sK229: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * '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_382,type,
sK230: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_383,type,
sK231: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_384,type,
sK232: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_385,type,
sK233: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_386,type,
sK234: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_387,type,
sK235: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_388,type,
sK236: 'Int_nat_fun$' > $int ).
tff(func_def_389,type,
sK237: 'Int_nat_fun$' > $int ).
tff(func_def_390,type,
sK238: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_391,type,
sK239: ( '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$' ).
tff(func_def_392,type,
sK240: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_393,type,
sK241: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_394,type,
sK242: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_395,type,
sK243: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_396,type,
sK244: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_397,type,
sK245: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_398,type,
sK246: 'Nat_nat_nat_fun_fun$' > 'Nat$' ).
tff(func_def_399,type,
sK247: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'A_constr_list$' ).
tff(func_def_400,type,
sK248: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_401,type,
sK249: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_402,type,
sK250: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_403,type,
sK251: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).
tff(func_def_404,type,
sK252: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_405,type,
sK253: 'A_TESL_atomic_list_nat_prod$' > 'A_TESL_atomic$' ).
tff(func_def_406,type,
sK254: 'A_TESL_atomic_list_nat_prod$' > 'Nat$' ).
tff(func_def_407,type,
sK255: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_408,type,
sK256: ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_409,type,
sK257: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_410,type,
sK258: 'Nat_a_run_set_fun$' > 'Nat$' ).
tff(func_def_411,type,
sK259: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_412,type,
sK260: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_413,type,
sK261: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_414,type,
sK262: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_415,type,
sK263: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_416,type,
sK264: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_417,type,
sK265: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_418,type,
sK266: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_419,type,
sK267: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_420,type,
sK268: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_421,type,
sK269: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_422,type,
sK270: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_423,type,
sK271: 'A_run_set_a_run_set_fun$' > 'A_run_set$' ).
tff(func_def_424,type,
sK272: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_425,type,
sK273: ( '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$' ).
tff(func_def_426,type,
sK274: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_427,type,
sK275: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_428,type,
sK276: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_429,type,
sK277: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_430,type,
sK278: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_431,type,
sK279: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_432,type,
sK280: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_433,type,
sK281: 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_434,type,
sK282: 'Int_nat_fun$' > $int ).
tff(func_def_435,type,
sK283: 'Int_nat_fun$' > $int ).
tff(func_def_436,type,
sK284: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_437,type,
sK285: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_438,type,
sK286: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_439,type,
sK287: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_440,type,
sK288: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_441,type,
sK289: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_442,type,
sK290: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_443,type,
sK291: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_444,type,
sK292: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_445,type,
sK293: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_446,type,
sK294: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_447,type,
sK295: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_448,type,
sK296: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_449,type,
sK297: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_450,type,
sK298: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_451,type,
sK299: ( '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$' ).
tff(func_def_452,type,
sK300: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_453,type,
sK301: ( '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$' ).
tff(func_def_454,type,
sK302: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_455,type,
sK303: ( '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$' ).
tff(func_def_456,type,
sK304: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_457,type,
sK305: ( '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$' ).
tff(func_def_458,type,
sK306: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_459,type,
sK307: ( '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$' ).
tff(func_def_460,type,
sK308: 'Int_nat_fun$' > $int ).
tff(func_def_461,type,
sK309: 'Int_nat_fun$' > $int ).
tff(func_def_462,type,
sK310: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_463,type,
sK311: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_464,type,
sK312: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_465,type,
sK313: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_466,type,
sK314: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_467,type,
sK315: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' ).
tff(func_def_468,type,
sK316: 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_469,type,
sK317: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_470,type,
sK318: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_471,type,
sK319: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_472,type,
sK320: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_473,type,
sK321: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic_list$' ).
tff(func_def_474,type,
sK322: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_TESL_atomic$' ).
tff(func_def_475,type,
sK323: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr$' ).
tff(func_def_476,type,
sK324: 'A_TESL_atomic_list_a_constr_list_bool_fun_fun$' > 'A_constr_list$' ).
tff(func_def_477,type,
sK325: 'Int_int_fun$' > $int ).
tff(func_def_478,type,
sK326: 'Int_int_fun$' > $int ).
tff(func_def_479,type,
sK327: 'A_constr_list_list$' > 'A_constr_list_list$' ).
tff(func_def_480,type,
sK328: 'A_constr_list_list$' > 'A_constr_list$' ).
tff(func_def_481,type,
sK329: 'A_constr_list_list$' > 'A_constr$' ).
tff(func_def_482,type,
sK330: 'A_constr_list_list$' > 'A_constr_list_list$' ).
tff(func_def_483,type,
sK331: ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat$' ).
tff(func_def_484,type,
sK332: ( '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$' ).
tff(func_def_485,type,
sK333: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat$' ).
tff(func_def_486,type,
sK334: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_487,type,
sK335: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_488,type,
sK336: 'A_run_set_nat_fun$' > 'A_run_set$' ).
tff(func_def_489,type,
sK337: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_490,type,
sK338: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_491,type,
sK339: 'A_constr_list$' > 'A_constr_list$' ).
tff(func_def_492,type,
sK340: 'A_constr_list$' > 'A_constr$' ).
tff(func_def_493,type,
sK341: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_494,type,
sK342: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_495,type,
sK343: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_496,type,
sK344: 'A_constr_list_a_constr_list_prod$' > 'A_constr_list$' ).
tff(func_def_497,type,
sK345: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_498,type,
sK346: 'A_constr_list_a_constr_list_prod$' > 'A_constr$' ).
tff(func_def_499,type,
sK347: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_500,type,
sK348: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_501,type,
sK349: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_502,type,
sK350: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_503,type,
sK351: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_504,type,
sK352: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_505,type,
sK353: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_506,type,
sK354: 'A_run_set_a_run_set_a_run_set_fun_fun$' > 'A_run_set$' ).
tff(func_def_507,type,
sK355: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_508,type,
sK356: ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_prod$' ) > 'Nat$' ).
tff(func_def_509,type,
sK357: 'A_constr_list_bool_fun$' > 'A_constr$' ).
tff(func_def_510,type,
sK358: 'A_constr_list_bool_fun$' > 'A_constr$' ).
tff(func_def_511,type,
sK359: 'A_constr_list_bool_fun$' > 'A_constr_list$' ).
tff(func_def_512,type,
sK360: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_513,type,
sK361: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_514,type,
sK362: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_515,type,
sK363: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_516,type,
sK364: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_517,type,
sK365: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_518,type,
sK366: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_519,type,
sK367: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_520,type,
sK368: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_521,type,
sK369: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_522,type,
sK370: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_523,type,
sK371: 'Int_nat_fun$' > $int ).
tff(func_def_524,type,
sK372: 'Int_nat_fun$' > $int ).
tff(func_def_525,type,
sK373: ( 'A_run_bool_fun$' * 'A_run_bool_fun$' ) > 'A_run$' ).
tff(func_def_526,type,
sK374: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_527,type,
sK375: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_528,type,
sK376: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_529,type,
sK377: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_530,type,
sK378: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_531,type,
sK379: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_532,type,
sK380: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'Nat$' ).
tff(func_def_533,type,
sK381: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_constr_list$' ).
tff(func_def_534,type,
sK382: ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_run_set$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_535,type,
sK383: ( 'A_run_set$' * 'A_run_set$' ) > 'A_run$' ).
tff(func_def_536,type,
sK384: 'Nat_a_run_set_fun$' > 'Nat$' ).
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(f18781,plain,
$false,
inference(avatar_smt_refutation,[],[f3007,f3016,f3021,f3095,f3111,f3162,f3173,f3239,f3264,f3866,f3870,f3874,f3890,f3912,f3939,f3962,f3963,f3964,f3998,f4022,f4027,f4048,f4075,f4256,f4257,f4265,f4270,f4275,f4280,f4285,f4290,f4299,f4304,f4309,f4314,f4319,f4325,f4329,f4362,f4367,f4372,f4382,f4458,f4463,f4468,f4478,f4488,f4531,f4536,f4541,f4616,f4682,f4683,f4709,f4714,f4719,f4748,f5004,f5045,f5049,f5053,f6461,f6466,f6467,f6468,f6477,f6478,f6483,f6507,f6508,f6516,f6517,f6533,f6538,f6541,f6606,f6611,f6631,f6636,f6641,f6705,f6711,f6719,f6723,f6724,f6725,f6726,f6734,f6735,f6851,f6938,f6966,f6967,f6980,f6981,f7033,f7038,f7039,f7044,f7053,f7150,f7151,f7162,f7163,f9124,f9129,f9151,f9156,f9539,f10078,f10082,f10087,f10091,f10095,f10136,f10137,f10138,f10139,f10140,f10559,f10565,f10575,f10584,f10597,f10619,f10640,f10645,f10648,f10667,f10686,f10703,f10713,f10715,f10717,f10719,f10722,f10730,f10732,f10734,f10749,f10769,f10775,f10778,f10782,f10792,f10823,f10829,f10838,f10847,f10850,f10853,f10858,f10864,f10866,f10874,f10880,f10899,f10900,f10951,f11653,f11697,f11849,f11860,f11869,f11988,f11998,f17401,f17408,f17519,f18362,f18366,f18370,f18371,f18372,f18488,f18607,f18612,f18616,f18617,f18772,f18778,f18780]) ).
tff(f18780,plain,
spl385_161,
inference(avatar_contradiction_clause,[],[f18779]) ).
tff(f18779,plain,
( $false
| spl385_161 ),
inference(resolution,[],[f18777,f2940]) ).
tff(f2940,plain,
! [X1: 'A_run_set$'] : 'less_eq$'(X1,X1),
inference(equality_resolution,[],[f2431]) ).
tff(f2431,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ( X0 != X1 )
| 'less_eq$'(X0,X1) ),
inference(cnf_transformation,[],[f1648]) ).
tff(f1648,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X0)
& $true )
| ( X0 != X1 )
| $false ),
inference(flattening,[],[f1647]) ).
tff(f1647,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( $false
| ( $true
& 'less_eq$'(X1,X0)
& 'less_eq$'(X0,X1) )
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f852]) ).
tff(f852,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( ( ( ( 'less_eq$'(X1,X0)
& 'less_eq$'(X0,X1) )
=> $false )
& ( X0 = X1 ) )
=> $false ),
inference(rectify,[],[f86]) ).
tff(f86,axiom,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( ( ( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X0) )
=> $false )
& ( X0 = X1 ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom84) ).
tff(f18777,plain,
( ~ 'less_eq$'('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$'),'phi_1$')))),'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$'),'phi_1$')))))
| spl385_161 ),
inference(avatar_component_clause,[],[f18775]) ).
tff(f18775,plain,
( spl385_161
<=> 'less_eq$'('heronConf_interpretation$'('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$')))),'heronConf_interpretation$'('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$'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_161])]) ).
tff(f18778,plain,
( ~ spl385_161
| spl385_20
| ~ spl385_160 ),
inference(avatar_split_clause,[],[f18773,f18769,f4019,f18775]) ).
tff(f4019,plain,
( spl385_20
<=> 'less_eq$'('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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_20])]) ).
tff(f18769,plain,
( spl385_160
<=> ( '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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_160])]) ).
tff(f18773,plain,
( ~ 'less_eq$'('heronConf_interpretation$'('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$')))),'heronConf_interpretation$'('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$')))))
| spl385_20
| ~ spl385_160 ),
inference(backward_demodulation,[],[f4021,f18771]) ).
tff(f18771,plain,
( ( 'heronConf_interpretation$'('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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))) )
| ~ spl385_160 ),
inference(avatar_component_clause,[],[f18769]) ).
tff(f4021,plain,
( ~ 'less_eq$'('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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))))
| spl385_20 ),
inference(avatar_component_clause,[],[f4019]) ).
tff(f18772,plain,
( spl385_160
| ~ spl385_1
| ~ spl385_8 ),
inference(avatar_split_clause,[],[f18767,f3170,f3004,f18769]) ).
tff(f3004,plain,
( spl385_1
<=> ( '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$'),'phi$')))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_1])]) ).
tff(f3170,plain,
( spl385_8
<=> ( '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$')),'phi$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_8])]) ).
tff(f18767,plain,
( ( '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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))) )
| ~ spl385_1
| ~ spl385_8 ),
inference(forward_demodulation,[],[f18759,f3172]) ).
tff(f3172,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$')),'phi$'))) )
| ~ spl385_8 ),
inference(avatar_component_clause,[],[f3170]) ).
tff(f18759,plain,
( ( '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$')),'phi$')))) )
| ~ spl385_1 ),
inference(superposition,[],[f2233,f3006]) ).
tff(f3006,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$'),'phi$')))) )
| ~ spl385_1 ),
inference(avatar_component_clause,[],[f3004]) ).
tff(f2233,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'Nat$',X0: 'A_constr_list$',X1: 'Clock$',X4: 'A_TESL_atomic_list$',X5: 'Clock$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X5,X1),X2)),X4)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X1,X3),'tickCountLeq$'(X5,X3),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X2),'cons$'('weaklyPrecedes$'(X5,X1),X4))))) ),
inference(cnf_transformation,[],[f1008]) ).
tff(f1008,plain,
! [X1: 'Clock$',X4: 'A_TESL_atomic_list$',X5: 'Clock$',X0: 'A_constr_list$',X2: 'A_TESL_atomic_list$',X3: 'Nat$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X5,X1),X2)),X4)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X1,X3),'tickCountLeq$'(X5,X3),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X2),'cons$'('weaklyPrecedes$'(X5,X1),X4))))) ),
inference(rectify,[],[f259]) ).
tff(f259,axiom,
! [X0: 'A_constr_list$',X3: 'Clock$',X4: 'A_TESL_atomic_list$',X1: 'Nat$',X5: 'A_TESL_atomic_list$',X2: 'Clock$'] : ( '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/sandbox2/benchmark/theBenchmark.p',axiom257) ).
tff(f18617,plain,
( spl385_145
| spl385_146 ),
inference(avatar_split_clause,[],[f18614,f11862,f11846]) ).
tff(f11846,plain,
( spl385_145
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),sK32('less_eq$f')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_145])]) ).
tff(f11862,plain,
( spl385_146
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),sK31('less_eq$f')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_146])]) ).
tff(f18614,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),sK32('less_eq$f'))
| spl385_146 ),
inference(resolution,[],[f11864,f2410]) ).
tff(f2410,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(cnf_transformation,[],[f1278]) ).
tff(f1278,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
& $true )
| $false
| ( $true
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ) ),
inference(flattening,[],[f1277]) ).
tff(f1277,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( $false
| ( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
& $true )
| ( $true
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ) ),
inference(ennf_transformation,[],[f383]) ).
tff(f383,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( ( ( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
=> $false )
& ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
=> $false ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom381) ).
tff(f11864,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),sK31('less_eq$f'))
| spl385_146 ),
inference(avatar_component_clause,[],[f11862]) ).
tff(f18616,plain,
( spl385_145
| spl385_146 ),
inference(avatar_split_clause,[],[f18613,f11862,f11846]) ).
tff(f18613,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),sK32('less_eq$f'))
| spl385_146 ),
inference(resolution,[],[f11864,f2410]) ).
tff(f18612,plain,
( spl385_159
| ~ spl385_12
| ~ spl385_146 ),
inference(avatar_split_clause,[],[f18603,f11862,f3868,f18609]) ).
tff(f18609,plain,
( spl385_159
<=> $less('fun_app$u'('of_nat$',sK32('less_eq$f')),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_159])]) ).
tff(f3868,plain,
( spl385_12
<=> ! [X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_12])]) ).
tff(f18603,plain,
( $less('fun_app$u'('of_nat$',sK32('less_eq$f')),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1))
| ~ spl385_12
| ~ spl385_146 ),
inference(resolution,[],[f11863,f3869]) ).
tff(f3869,plain,
( ! [X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1)) )
| ~ spl385_12 ),
inference(avatar_component_clause,[],[f3868]) ).
tff(f11863,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),sK31('less_eq$f'))
| ~ spl385_146 ),
inference(avatar_component_clause,[],[f11862]) ).
tff(f18607,plain,
( spl385_119
| spl385_118
| ~ spl385_146 ),
inference(avatar_split_clause,[],[f18604,f11862,f10069,f10073]) ).
tff(f10073,plain,
( spl385_119
<=> ! [X11: 'Nat$',X12: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',X11),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_119])]) ).
tff(f10069,plain,
( spl385_118
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_118])]) ).
tff(f18604,plain,
( ! [X2: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| 'fun_app$m'('fun_app$n'('less_eq$f',X1),X2) )
| ~ spl385_146 ),
inference(resolution,[],[f11863,f1989]) ).
tff(f1989,plain,
! [X2: 'Nat$',X0: 'Nat_nat_bool_fun_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,sK32(X0)),sK31(X0))
| 'fun_app$m'('fun_app$n'(X0,X1),X2)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK29(X0)),sK30(X0)) ),
inference(cnf_transformation,[],[f1422]) ).
tff(f1422,plain,
! [X1: 'Nat$',X2: 'Nat$',X0: 'Nat_nat_bool_fun_fun$'] :
( ? [X5: 'Nat$',X6: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,X6),X5)
& 'fun_app$m'('fun_app$n'(X0,X5),X6) )
| ? [X4: 'Nat$',X3: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,X4),X3)
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X3) )
| 'fun_app$m'('fun_app$n'(X0,X1),X2) ),
inference(flattening,[],[f1421]) ).
tff(f1421,plain,
! [X1: 'Nat$',X0: 'Nat_nat_bool_fun_fun$',X2: 'Nat$'] :
( 'fun_app$m'('fun_app$n'(X0,X1),X2)
| ? [X4: 'Nat$',X3: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,X4),X3)
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X3) )
| ? [X5: 'Nat$',X6: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,X6),X5)
& 'fun_app$m'('fun_app$n'(X0,X5),X6) ) ),
inference(ennf_transformation,[],[f818]) ).
tff(f818,plain,
! [X1: 'Nat$',X0: 'Nat_nat_bool_fun_fun$',X2: 'Nat$'] :
( ( ! [X4: 'Nat$',X3: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X3)
=> 'fun_app$m'('fun_app$n'(X0,X4),X3) )
& ! [X6: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'(X0,X5),X6)
=> 'fun_app$m'('fun_app$n'(X0,X6),X5) ) )
=> 'fun_app$m'('fun_app$n'(X0,X1),X2) ),
inference(rectify,[],[f325]) ).
tff(f325,axiom,
! [X0: 'Nat_nat_bool_fun_fun$',X1: 'Nat$',X2: 'Nat$'] :
( ( ! [X4: 'Nat$',X3: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X3),X4)
=> 'fun_app$m'('fun_app$n'(X0,X3),X4) )
& ! [X4: 'Nat$',X3: 'Nat$'] :
( 'fun_app$m'('fun_app$n'(X0,X4),X3)
=> 'fun_app$m'('fun_app$n'(X0,X3),X4) ) )
=> 'fun_app$m'('fun_app$n'(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom323) ).
tff(f18488,plain,
( spl385_158
| ~ spl385_12
| ~ spl385_142 ),
inference(avatar_split_clause,[],[f18482,f11646,f3868,f18485]) ).
tff(f18485,plain,
( spl385_158
<=> $less('fun_app$u'('of_nat$',sK30('less_eq$f')),$sum('fun_app$u'('of_nat$',sK29('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_158])]) ).
tff(f11646,plain,
( spl385_142
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK30('less_eq$f')),sK29('less_eq$f')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_142])]) ).
tff(f18482,plain,
( $less('fun_app$u'('of_nat$',sK30('less_eq$f')),$sum('fun_app$u'('of_nat$',sK29('less_eq$f')),1))
| ~ spl385_12
| ~ spl385_142 ),
inference(resolution,[],[f11647,f3869]) ).
tff(f11647,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK30('less_eq$f')),sK29('less_eq$f'))
| ~ spl385_142 ),
inference(avatar_component_clause,[],[f11646]) ).
tff(f18372,plain,
( spl385_118
| spl385_142 ),
inference(avatar_split_clause,[],[f11688,f11646,f10069]) ).
tff(f11688,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| spl385_142 ),
inference(resolution,[],[f11648,f2410]) ).
tff(f11648,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK30('less_eq$f')),sK29('less_eq$f'))
| spl385_142 ),
inference(avatar_component_clause,[],[f11646]) ).
tff(f18371,plain,
( spl385_118
| spl385_142 ),
inference(avatar_split_clause,[],[f11689,f11646,f10069]) ).
tff(f11689,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| spl385_142 ),
inference(resolution,[],[f11648,f2410]) ).
tff(f18370,plain,
( spl385_153
| spl385_154
| spl385_157 ),
inference(avatar_split_clause,[],[f18351,f18368,f18356,f18353]) ).
tff(f18353,plain,
( spl385_153
<=> ! [X2: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_153])]) ).
tff(f18356,plain,
( spl385_154
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))))),$sum('fun_app$u'('of_nat$','fun_app$t'('nat$',sK283('nat$'))),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_154])]) ).
tff(f18368,plain,
( spl385_157
<=> ! [X0: 'Nat$',X1: $int] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X1)),X0)
| $less('fun_app$u'('of_nat$',X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_157])]) ).
tff(f18351,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: $int] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X1)),X0)
| $less('fun_app$u'('of_nat$',X0),X1)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))))),$sum('fun_app$u'('of_nat$','fun_app$t'('nat$',sK283('nat$'))),1))
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))),X2) ),
inference(superposition,[],[f3892,f2550]) ).
tff(f2550,plain,
! [X0: 'Nat$'] : ( 'fun_app$t'('nat$','fun_app$u'('of_nat$',X0)) = X0 ),
inference(cnf_transformation,[],[f644]) ).
tff(f644,axiom,
! [X0: 'Nat$'] : ( 'fun_app$t'('nat$','fun_app$u'('of_nat$',X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom642) ).
tff(f3892,plain,
! [X2: 'Int_nat_fun$',X3: 'Nat$',X0: $int,X1: $int] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,sK282(X2))),X3)
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,X1)),'fun_app$t'(X2,X0))
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'(X2,sK282(X2))))),$sum('fun_app$u'('of_nat$','fun_app$t'(X2,sK283(X2))),1))
| $less(X0,X1) ),
inference(resolution,[],[f2969,f2854]) ).
tff(f2854,plain,
! [X3: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( 'fun_app$m'(X0,X3)
| 'fun_app$m'(X0,X1)
| $less('fun_app$u'('of_nat$',sK378(X0)),$sum('fun_app$u'('of_nat$',X3),1)) ),
inference(cnf_transformation,[],[f1470]) ).
tff(f1470,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ? [X2: 'Nat$'] :
( ~ 'fun_app$m'(X0,X2)
& ! [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
| $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X3),1)) ) )
| 'fun_app$m'(X0,X1) ),
inference(ennf_transformation,[],[f730]) ).
tff(f730,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ! [X2: 'Nat$'] :
( ! [X3: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X3),1))
=> 'fun_app$m'(X0,X3) )
=> 'fun_app$m'(X0,X2) )
=> 'fun_app$m'(X0,X1) ),
inference(theory_normalization,[],[f281]) ).
tff(f281,axiom,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ! [X2: 'Nat$'] :
( ! [X3: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X3),1),'fun_app$u'('of_nat$',X2))
=> 'fun_app$m'(X0,X3) )
=> 'fun_app$m'(X0,X2) )
=> 'fun_app$m'(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom279) ).
tff(f2969,plain,
! [X2: $int,X3: 'Int_nat_fun$',X0: $int] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,sK282(X3))),'fun_app$t'(X3,sK283(X3)))
| $less(X0,X2)
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X2)),'fun_app$t'(X3,X0)) ),
inference(equality_resolution,[],[f2596]) ).
tff(f2596,plain,
! [X2: $int,X3: 'Int_nat_fun$',X0: $int,X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X2)),X1)
| $less(X0,X2)
| ( 'fun_app$t'(X3,X0) != X1 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,sK282(X3))),'fun_app$t'(X3,sK283(X3))) ),
inference(cnf_transformation,[],[f1325]) ).
tff(f1325,plain,
! [X2: $int,X0: $int,X3: 'Int_nat_fun$',X1: 'Nat$'] :
( ? [X4: $int,X5: $int] :
( ~ $less(X5,X4)
& ~ 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X4)),'fun_app$t'(X3,X5)) )
| ( 'fun_app$t'(X3,X0) != X1 )
| $less(X0,X2)
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X2)),X1) ),
inference(flattening,[],[f1324]) ).
tff(f1324,plain,
! [X0: $int,X1: 'Nat$',X2: $int,X3: 'Int_nat_fun$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X2)),X1)
| ? [X4: $int,X5: $int] :
( ~ $less(X5,X4)
& ~ 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X4)),'fun_app$t'(X3,X5)) )
| ( 'fun_app$t'(X3,X0) != X1 )
| $less(X0,X2) ),
inference(ennf_transformation,[],[f1184]) ).
tff(f1184,plain,
! [X0: $int,X1: 'Nat$',X2: $int,X3: 'Int_nat_fun$'] :
( ( ! [X4: $int,X5: $int] :
( ~ $less(X5,X4)
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X4)),'fun_app$t'(X3,X5)) )
& ( 'fun_app$t'(X3,X0) = X1 )
& ~ $less(X0,X2) )
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X3,X2)),X1) ),
inference(rectify,[],[f770]) ).
tff(f770,plain,
! [X1: $int,X3: 'Nat$',X0: $int,X2: 'Int_nat_fun$'] :
( ( ! [X4: $int,X5: $int] :
( ~ $less(X5,X4)
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,X4)),'fun_app$t'(X2,X5)) )
& ~ $less(X1,X0)
& ( 'fun_app$t'(X2,X1) = X3 ) )
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,X0)),X3) ),
inference(theory_normalization,[],[f381]) ).
tff(f381,axiom,
! [X1: $int,X3: 'Nat$',X0: $int,X2: 'Int_nat_fun$'] :
( ( ! [X4: $int,X5: $int] :
( $lesseq(X4,X5)
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,X4)),'fun_app$t'(X2,X5)) )
& $lesseq(X0,X1)
& ( 'fun_app$t'(X2,X1) = X3 ) )
=> 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'(X2,X0)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom379) ).
tff(f18366,plain,
( spl385_154
| spl385_153
| spl385_156 ),
inference(avatar_split_clause,[],[f18334,f18364,f18353,f18356]) ).
tff(f18364,plain,
( spl385_156
<=> ! [X113: 'Nat$',X111: 'Nat$',X114: 'Nat$',X110: $int] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)),X114)
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)),X113)
| $less($sum('fun_app$u'('of_nat$',sK24(X111,'fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)))),1),X110)
| $less('fun_app$u'('of_nat$',X113),'fun_app$u'('of_nat$',X111))
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)))),$sum('fun_app$u'('of_nat$',X111),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_156])]) ).
tff(f18334,plain,
! [X113: 'Nat$',X111: 'Nat$',X114: 'Nat$',X112: 'Nat$',X110: $int] :
( 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)),X114)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)))),$sum('fun_app$u'('of_nat$',X111),1))
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))),X112)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))))),$sum('fun_app$u'('of_nat$','fun_app$t'('nat$',sK283('nat$'))),1))
| $less('fun_app$u'('of_nat$',X113),'fun_app$u'('of_nat$',X111))
| $less($sum('fun_app$u'('of_nat$',sK24(X111,'fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)))),1),X110)
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',X110)),X113) ),
inference(resolution,[],[f3892,f3902]) ).
tff(f3902,plain,
! [X3: 'Nat_bool_fun$',X6: 'Nat$',X4: 'Nat$',X5: 'Nat$'] :
( ~ 'fun_app$m'(X3,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(X5,X3)),1)))
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',X5))
| $less('fun_app$u'('of_nat$',sK378(X3)),$sum('fun_app$u'('of_nat$',X5),1))
| 'fun_app$m'(X3,X4)
| 'fun_app$m'(X3,X6) ),
inference(resolution,[],[f1907,f2854]) ).
tff(f1907,plain,
! [X2: 'Nat_bool_fun$',X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'(X2,X0)
| ~ 'fun_app$m'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(X0,X2)),1)))
| 'fun_app$m'(X2,X1)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(cnf_transformation,[],[f1681]) ).
tff(f1681,plain,
! [X1: 'Nat$',X2: 'Nat_bool_fun$',X0: 'Nat$'] :
( ~ 'fun_app$m'(X2,X0)
| ? [X3: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X3),'fun_app$u'('of_nat$',X0))
& 'fun_app$m'(X2,X3)
& ~ 'fun_app$m'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))) )
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
| 'fun_app$m'(X2,X1) ),
inference(flattening,[],[f1680]) ).
tff(f1680,plain,
! [X1: 'Nat$',X0: 'Nat$',X2: 'Nat_bool_fun$'] :
( 'fun_app$m'(X2,X1)
| ? [X3: 'Nat$'] :
( ~ 'fun_app$m'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
& 'fun_app$m'(X2,X3)
& ~ $less('fun_app$u'('of_nat$',X3),'fun_app$u'('of_nat$',X0)) )
| ~ 'fun_app$m'(X2,X0)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(ennf_transformation,[],[f678]) ).
tff(f678,plain,
! [X1: 'Nat$',X0: 'Nat$',X2: 'Nat_bool_fun$'] :
( ( ! [X3: 'Nat$'] :
( ( 'fun_app$m'(X2,X3)
& ~ $less('fun_app$u'('of_nat$',X3),'fun_app$u'('of_nat$',X0)) )
=> 'fun_app$m'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))) )
& 'fun_app$m'(X2,X0)
& ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) )
=> 'fun_app$m'(X2,X1) ),
inference(theory_normalization,[],[f280]) ).
tff(f280,axiom,
! [X0: 'Nat$',X1: 'Nat$',X2: 'Nat_bool_fun$'] :
( ( ! [X3: 'Nat$'] :
( ( $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X3))
& 'fun_app$m'(X2,X3) )
=> 'fun_app$m'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))) )
& 'fun_app$m'(X2,X0)
& $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) )
=> 'fun_app$m'(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom278) ).
tff(f18362,plain,
( spl385_153
| spl385_154
| spl385_155 ),
inference(avatar_split_clause,[],[f18350,f18360,f18356,f18353]) ).
tff(f18360,plain,
( spl385_155
<=> ! [X0: 'Nat$',X1: $int] :
( $less(X1,'fun_app$u'('of_nat$',X0))
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),'fun_app$t'('nat$',X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_155])]) ).
tff(f18350,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: $int] :
( $less(X1,'fun_app$u'('of_nat$',X0))
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))))),$sum('fun_app$u'('of_nat$','fun_app$t'('nat$',sK283('nat$'))),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),'fun_app$t'('nat$',X1))
| 'fun_app$m'('fun_app$n'('less_eq$f','fun_app$t'('nat$',sK282('nat$'))),X2) ),
inference(superposition,[],[f3892,f2550]) ).
tff(f17519,plain,
( ~ spl385_152
| ~ spl385_2
| spl385_21 ),
inference(avatar_split_clause,[],[f17512,f4024,f3013,f17516]) ).
tff(f17516,plain,
( spl385_152
<=> 'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','nil$a'),'fun_app$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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_152])]) ).
tff(f3013,plain,
( spl385_2
<=> ( 'collect$'('uuk$') = 'symbolic_run_interpretation$'('nil$a') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_2])]) ).
tff(f4024,plain,
( spl385_21
<=> 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$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$'),'phi_1$'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_21])]) ).
tff(f17512,plain,
( ~ 'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','nil$a'),'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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))))
| ~ spl385_2
| spl385_21 ),
inference(backward_demodulation,[],[f4026,f17503]) ).
tff(f17503,plain,
( ! [X3: 'A_TESL_atomic_list$',X4: 'Nat$',X5: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','nil$a'),'fun_app$k'('fun_app$l'('pair$b',X4),'fun_app$g'('fun_app$h'('pair$a',X3),X5)))) = 'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'(X3),X4),'fun_app$s'('tESL_interpretation_stepwise$'(X5),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X4),1))))) )
| ~ spl385_2 ),
inference(superposition,[],[f4432,f2391]) ).
tff(f2391,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/sandbox2/benchmark/theBenchmark.p',axiom234) ).
tff(f4432,plain,
( ! [X2: 'A_TESL_atomic_list$',X0: 'A_TESL_atomic_list$',X1: 'Nat$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$s'('tESL_interpretation_stepwise$'(X0),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$','nil$a'),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X0),X2)))) )
| ~ spl385_2 ),
inference(backward_demodulation,[],[f4006,f4426]) ).
tff(f4426,plain,
! [X12: 'A_run_set$'] : ( 'collect$'('uug$'('collect$'('uuk$'),X12)) = X12 ),
inference(resolution,[],[f4411,f3034]) ).
tff(f3034,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ~ 'less_eq$'(X1,X0)
| ( 'collect$'('uug$'(X0,X1)) = X1 ) ),
inference(backward_demodulation,[],[f2277,f2391]) ).
tff(f2277,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = X1 )
| ~ 'less_eq$'(X1,X0) ),
inference(cnf_transformation,[],[f1272]) ).
tff(f1272,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = X1 )
| ~ 'less_eq$'(X1,X0) ),
inference(ennf_transformation,[],[f1114]) ).
tff(f1114,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( 'less_eq$'(X1,X0)
=> ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = X1 ) ),
inference(rectify,[],[f191]) ).
tff(f191,axiom,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( 'less_eq$'(X0,X1)
=> ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom189) ).
tff(f4411,plain,
! [X6: 'A_run_set$'] : 'less_eq$'(X6,'collect$'('uuk$')),
inference(superposition,[],[f4385,f3265]) ).
tff(f3265,plain,
! [X0: 'A_run_set$'] : ( 'collect$'('uug$'(X0,X0)) = X0 ),
inference(resolution,[],[f3034,f2940]) ).
tff(f4385,plain,
! [X0: 'A_run_bool_fun$'] : 'less_eq$'('collect$'(X0),'collect$'('uuk$')),
inference(resolution,[],[f1733,f2567]) ).
tff(f2567,plain,
! [X0: 'A_run$'] : 'fun_app$'('uuk$',X0),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
! [X0: 'A_run$'] :
( 'fun_app$'('uuk$',X0)
<=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom11) ).
tff(f1733,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] :
( ~ 'fun_app$'(X1,sK0(X0,X1))
| 'less_eq$'('collect$'(X0),'collect$'(X1)) ),
inference(cnf_transformation,[],[f1509]) ).
tff(f1509,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] :
( 'less_eq$'('collect$'(X0),'collect$'(X1))
| ? [X2: 'A_run$'] :
( 'fun_app$'(X0,X2)
& ~ 'fun_app$'(X1,X2) ) ),
inference(ennf_transformation,[],[f80]) ).
tff(f80,axiom,
! [X1: 'A_run_bool_fun$',X0: 'A_run_bool_fun$'] :
( ! [X2: 'A_run$'] :
( 'fun_app$'(X0,X2)
=> 'fun_app$'(X1,X2) )
=> 'less_eq$'('collect$'(X0),'collect$'(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom78) ).
tff(f4006,plain,
( ! [X2: 'A_TESL_atomic_list$',X0: 'A_TESL_atomic_list$',X1: 'Nat$'] : ( 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'('collect$'('uuk$'),'fun_app$s'('tESL_interpretation_stepwise$'(X0),X1)))),'fun_app$s'('tESL_interpretation_stepwise$'(X2),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','nil$a'),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X0),X2)))) )
| ~ spl385_2 ),
inference(superposition,[],[f3226,f3015]) ).
tff(f3015,plain,
( ( 'collect$'('uuk$') = 'symbolic_run_interpretation$'('nil$a') )
| ~ spl385_2 ),
inference(avatar_component_clause,[],[f3013]) ).
tff(f3226,plain,
! [X2: 'A_constr_list$',X3: 'Nat$',X0: 'A_TESL_atomic_list$',X1: 'A_TESL_atomic_list$'] : ( 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'('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(forward_demodulation,[],[f2602,f2391]) ).
tff(f2602,plain,
! [X2: 'A_constr_list$',X3: 'Nat$',X0: 'A_TESL_atomic_list$',X1: 'A_TESL_atomic_list$'] : ( '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(cnf_transformation,[],[f836]) ).
tff(f836,plain,
! [X3: 'Nat$',X2: 'A_constr_list$',X0: 'A_TESL_atomic_list$',X1: 'A_TESL_atomic_list$'] : ( '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/sandbox2/benchmark/theBenchmark.p',axiom287) ).
tff(f4026,plain,
( ~ 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$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$'),'phi_1$')))))
| spl385_21 ),
inference(avatar_component_clause,[],[f4024]) ).
tff(f17408,plain,
( spl385_151
| spl385_5
| ~ spl385_3 ),
inference(avatar_split_clause,[],[f17403,f3018,f3092,f17405]) ).
tff(f17405,plain,
( spl385_151
<=> ( '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$d'('pair$',sK300('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$d'('pair$','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$k'('fun_app$l'('pair$b',sK303('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),'fun_app$g'('fun_app$h'('pair$a',sK305('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),sK306('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_151])]) ).
tff(f3092,plain,
( spl385_5
<=> 'fun_app$v'('operational_semantics_intro$'('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_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_5])]) ).
tff(f3018,plain,
( spl385_3
<=> 'fun_app$v'('operational_semantics_step$'('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_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_3])]) ).
tff(f17403,plain,
( 'fun_app$v'('operational_semantics_intro$'('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_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$','gamma_2$'),'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$d'('pair$',sK300('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$d'('pair$','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$k'('fun_app$l'('pair$b',sK303('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),'fun_app$g'('fun_app$h'('pair$a',sK305('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),sK306('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))))) )
| ~ spl385_3 ),
inference(resolution,[],[f3207,f3020]) ).
tff(f3020,plain,
( 'fun_app$v'('operational_semantics_step$'('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_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
| ~ spl385_3 ),
inference(avatar_component_clause,[],[f3018]) ).
tff(f3207,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| 'fun_app$v'('operational_semantics_intro$'(X1),X0)
| ( 'fun_app$c'('fun_app$d'('pair$',sK300(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK303(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK305(X0,X1)),sK306(X0,X1)))) = X0 ) ),
inference(backward_subsumption_demodulation,[],[f3106,f2635]) ).
tff(f2635,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1)))) = X0 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| ( 'fun_app$c'('fun_app$d'('pair$',sK300(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK303(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK305(X0,X1)),sK306(X0,X1)))) = X0 ) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f1206,plain,
! [X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( ? [X6: 'A_constr_list$',X9: 'A_constr_list$',X8: 'Nat$',X2: 'Nat$',X5: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$',X7: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$'] :
( 'fun_app$v'('operational_semantics_elim$'('fun_app$c'('fun_app$d'('pair$',X9),'fun_app$k'('fun_app$l'('pair$b',X8),'fun_app$g'('fun_app$h'('pair$a',X3),X5)))),'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a',X4),X7))))
& ( 'fun_app$c'('fun_app$d'('pair$',X9),'fun_app$k'('fun_app$l'('pair$b',X8),'fun_app$g'('fun_app$h'('pair$a',X3),X5))) = X1 )
& ( 'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X2),'fun_app$g'('fun_app$h'('pair$a',X4),X7))) = X0 ) )
| ? [X15: 'A_constr_list$',X11: 'A_TESL_atomic_list$',X13: 'A_TESL_atomic_list$',X12: 'A_TESL_atomic_list$',X10: 'A_constr_list$',X14: 'A_TESL_atomic_list$',X17: 'Nat$',X16: 'Nat$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',X15),'fun_app$k'('fun_app$l'('pair$b',X17),'fun_app$g'('fun_app$h'('pair$a',X12),X14))) = X1 )
& ( 'fun_app$c'('fun_app$d'('pair$',X10),'fun_app$k'('fun_app$l'('pair$b',X16),'fun_app$g'('fun_app$h'('pair$a',X11),X13))) = X0 )
& 'fun_app$v'('operational_semantics_intro$'('fun_app$c'('fun_app$d'('pair$',X15),'fun_app$k'('fun_app$l'('pair$b',X17),'fun_app$g'('fun_app$h'('pair$a',X12),X14)))),'fun_app$c'('fun_app$d'('pair$',X10),'fun_app$k'('fun_app$l'('pair$b',X16),'fun_app$g'('fun_app$h'('pair$a',X11),X13)))) ) )
<=> 'fun_app$v'('operational_semantics_step$'(X1),X0) ),
inference(rectify,[],[f195]) ).
tff(f195,axiom,
! [X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( ? [X7: 'Nat$',X4: 'A_TESL_atomic_list$',X8: 'A_TESL_atomic_list$',X5: 'A_TESL_atomic_list$',X6: 'A_constr_list$',X9: 'A_TESL_atomic_list$',X3: 'Nat$',X2: 'A_constr_list$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',X2),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X4),X5))) = X0 )
& 'fun_app$v'('operational_semantics_elim$'('fun_app$c'('fun_app$d'('pair$',X2),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X4),X5)))),'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X8),X9))))
& ( 'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X8),X9))) = X1 ) )
| ? [X6: 'A_constr_list$',X8: 'A_TESL_atomic_list$',X4: 'A_TESL_atomic_list$',X9: 'A_TESL_atomic_list$',X5: 'A_TESL_atomic_list$',X2: 'A_constr_list$',X7: 'Nat$',X3: 'Nat$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X8),X9))) = X1 )
& ( 'fun_app$c'('fun_app$d'('pair$',X2),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X4),X5))) = X0 )
& 'fun_app$v'('operational_semantics_intro$'('fun_app$c'('fun_app$d'('pair$',X2),'fun_app$k'('fun_app$l'('pair$b',X3),'fun_app$g'('fun_app$h'('pair$a',X4),X5)))),'fun_app$c'('fun_app$d'('pair$',X6),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X8),X9)))) ) )
<=> 'fun_app$v'('operational_semantics_step$'(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom193) ).
tff(f3106,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK300(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK303(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK305(X0,X1)),sK306(X0,X1)))) = X0 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| 'fun_app$v'('operational_semantics_intro$'(X1),'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1))))) ),
inference(backward_subsumption_demodulation,[],[f2638,f2632]) ).
tff(f2632,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK292(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK298(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK295(X0,X1)),sK297(X0,X1)))) = X1 )
| ( 'fun_app$c'('fun_app$d'('pair$',sK300(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK303(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK305(X0,X1)),sK306(X0,X1)))) = X0 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f2638,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK300(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK303(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK305(X0,X1)),sK306(X0,X1)))) = X0 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| 'fun_app$v'('operational_semantics_intro$'('fun_app$c'('fun_app$d'('pair$',sK292(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK298(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK295(X0,X1)),sK297(X0,X1))))),'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1))))) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f17401,plain,
( spl385_5
| spl385_150
| ~ spl385_3 ),
inference(avatar_split_clause,[],[f17396,f3018,f17398,f3092]) ).
tff(f17398,plain,
( spl385_150
<=> ( '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$d'('pair$',sK301('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$d'('pair$','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$k'('fun_app$l'('pair$b',sK302('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),'fun_app$g'('fun_app$h'('pair$a',sK307('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),sK304('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_150])]) ).
tff(f17396,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$d'('pair$',sK301('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$d'('pair$','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$k'('fun_app$l'('pair$b',sK302('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),'fun_app$g'('fun_app$h'('pair$a',sK307('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$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))),sK304('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$d'('pair$','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$v'('operational_semantics_intro$'('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_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
| ~ spl385_3 ),
inference(resolution,[],[f3114,f3020]) ).
tff(f3114,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| ( 'fun_app$c'('fun_app$d'('pair$',sK301(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK302(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK307(X0,X1)),sK304(X0,X1)))) = X1 )
| 'fun_app$v'('operational_semantics_intro$'(X1),X0) ),
inference(forward_subsumption_demodulation,[],[f3113,f2636]) ).
tff(f2636,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1)))) = X0 )
| ( 'fun_app$c'('fun_app$d'('pair$',sK301(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK302(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK307(X0,X1)),sK304(X0,X1)))) = X1 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f3113,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| 'fun_app$v'('operational_semantics_intro$'(X1),'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1)))))
| ( 'fun_app$c'('fun_app$d'('pair$',sK301(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK302(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK307(X0,X1)),sK304(X0,X1)))) = X1 ) ),
inference(forward_subsumption_demodulation,[],[f2639,f2633]) ).
tff(f2633,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK301(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK302(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK307(X0,X1)),sK304(X0,X1)))) = X1 )
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0)
| ( 'fun_app$c'('fun_app$d'('pair$',sK292(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK298(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK295(X0,X1)),sK297(X0,X1)))) = X1 ) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f2639,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ( 'fun_app$c'('fun_app$d'('pair$',sK301(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK302(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK307(X0,X1)),sK304(X0,X1)))) = X1 )
| 'fun_app$v'('operational_semantics_intro$'('fun_app$c'('fun_app$d'('pair$',sK292(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK298(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK295(X0,X1)),sK297(X0,X1))))),'fun_app$c'('fun_app$d'('pair$',sK296(X0,X1)),'fun_app$k'('fun_app$l'('pair$b',sK299(X0,X1)),'fun_app$g'('fun_app$h'('pair$a',sK293(X0,X1)),sK294(X0,X1)))))
| ~ 'fun_app$v'('operational_semantics_step$'(X1),X0) ),
inference(cnf_transformation,[],[f1206]) ).
tff(f11998,plain,
( ~ spl385_149
| ~ spl385_147
| spl385_148 ),
inference(avatar_split_clause,[],[f11993,f11985,f11866,f11995]) ).
tff(f11995,plain,
( spl385_149
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK31('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_149])]) ).
tff(f11866,plain,
( spl385_147
<=> ( sK31('less_eq$f') = sK32('less_eq$f') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_147])]) ).
tff(f11985,plain,
( spl385_148
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK32('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_148])]) ).
tff(f11993,plain,
( ~ $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK31('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1))
| ~ spl385_147
| spl385_148 ),
inference(forward_demodulation,[],[f11986,f11868]) ).
tff(f11868,plain,
( ( sK31('less_eq$f') = sK32('less_eq$f') )
| ~ spl385_147 ),
inference(avatar_component_clause,[],[f11866]) ).
tff(f11986,plain,
( ~ $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK32('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1))
| spl385_148 ),
inference(avatar_component_clause,[],[f11985]) ).
tff(f11988,plain,
( spl385_148
| spl385_146 ),
inference(avatar_split_clause,[],[f11981,f11862,f11985]) ).
tff(f11981,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK32('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK31('less_eq$f')),1))
| spl385_146 ),
inference(resolution,[],[f11864,f3498]) ).
tff(f3498,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( 'fun_app$m'(X0,X1)
| $less('fun_app$u'('of_nat$',sK378(X0)),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(factoring,[],[f2854]) ).
tff(f11869,plain,
( ~ spl385_146
| spl385_147
| ~ spl385_145 ),
inference(avatar_split_clause,[],[f11850,f11846,f11866,f11862]) ).
tff(f11850,plain,
( ( sK31('less_eq$f') = sK32('less_eq$f') )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),sK31('less_eq$f'))
| ~ spl385_145 ),
inference(resolution,[],[f11848,f2771]) ).
tff(f2771,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f1630]) ).
tff(f1630,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
<=> ( X0 = X1 ) )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0) ),
inference(ennf_transformation,[],[f817]) ).
tff(f817,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
=> ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
<=> ( X0 = X1 ) ) ),
inference(rectify,[],[f386]) ).
tff(f386,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
=> ( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
<=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom384) ).
tff(f11848,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),sK32('less_eq$f'))
| ~ spl385_145 ),
inference(avatar_component_clause,[],[f11846]) ).
tff(f11860,plain,
( spl385_121
| ~ spl385_145 ),
inference(avatar_split_clause,[],[f11853,f11846,f10080]) ).
tff(f10080,plain,
( spl385_121
<=> ! [X2: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),X2)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_121])]) ).
tff(f11853,plain,
( ! [X2: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),X2)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),X2) )
| ~ spl385_145 ),
inference(resolution,[],[f11848,f2360]) ).
tff(f2360,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(cnf_transformation,[],[f1570]) ).
tff(f1570,plain,
! [X1: 'Nat$',X2: 'Nat$',X0: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2)
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(flattening,[],[f1569]) ).
tff(f1569,plain,
! [X1: 'Nat$',X2: 'Nat$',X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2) ),
inference(ennf_transformation,[],[f838]) ).
tff(f838,plain,
! [X1: 'Nat$',X2: 'Nat$',X0: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2) )
=> 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(rectify,[],[f323]) ).
tff(f323,axiom,
! [X0: 'Nat$',X2: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& 'fun_app$m'('fun_app$n'('less_eq$f',X1),X2) )
=> 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom321) ).
tff(f11849,plain,
( spl385_119
| spl385_145
| ~ spl385_118 ),
inference(avatar_split_clause,[],[f11838,f10069,f11846,f10073]) ).
tff(f11838,plain,
( ! [X0: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),sK32('less_eq$f'))
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) )
| ~ spl385_118 ),
inference(resolution,[],[f1986,f10071]) ).
tff(f10071,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| ~ spl385_118 ),
inference(avatar_component_clause,[],[f10069]) ).
tff(f1986,plain,
! [X2: 'Nat$',X0: 'Nat_nat_bool_fun_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X0,sK29(X0)),sK30(X0))
| 'fun_app$m'('fun_app$n'(X0,sK31(X0)),sK32(X0))
| 'fun_app$m'('fun_app$n'(X0,X1),X2) ),
inference(cnf_transformation,[],[f1422]) ).
tff(f11697,plain,
( spl385_144
| spl385_142 ),
inference(avatar_split_clause,[],[f11690,f11646,f11694]) ).
tff(f11694,plain,
( spl385_144
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK30('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK29('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_144])]) ).
tff(f11690,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK30('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK29('less_eq$f')),1))
| spl385_142 ),
inference(resolution,[],[f11648,f3498]) ).
tff(f11653,plain,
( ~ spl385_142
| spl385_143
| ~ spl385_118 ),
inference(avatar_split_clause,[],[f11637,f10069,f11650,f11646]) ).
tff(f11650,plain,
( spl385_143
<=> ( sK29('less_eq$f') = sK30('less_eq$f') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_143])]) ).
tff(f11637,plain,
( ( sK29('less_eq$f') = sK30('less_eq$f') )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK30('less_eq$f')),sK29('less_eq$f'))
| ~ spl385_118 ),
inference(resolution,[],[f2771,f10071]) ).
tff(f10951,plain,
( spl385_141
| ~ spl385_12
| ~ spl385_118 ),
inference(avatar_split_clause,[],[f10944,f10069,f3868,f10948]) ).
tff(f10948,plain,
( spl385_141
<=> $less('fun_app$u'('of_nat$',sK29('less_eq$f')),$sum('fun_app$u'('of_nat$',sK30('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_141])]) ).
tff(f10944,plain,
( $less('fun_app$u'('of_nat$',sK29('less_eq$f')),$sum('fun_app$u'('of_nat$',sK30('less_eq$f')),1))
| ~ spl385_12
| ~ spl385_118 ),
inference(resolution,[],[f10071,f3869]) ).
tff(f10900,plain,
spl385_126,
inference(avatar_contradiction_clause,[],[f10896]) ).
tff(f10896,plain,
( $false
| spl385_126 ),
inference(resolution,[],[f10564,f2898]) ).
tff(f2898,plain,
! [X1: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',X1),X1),
inference(equality_resolution,[],[f2080]) ).
tff(f2080,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( X0 != X1 )
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(cnf_transformation,[],[f943]) ).
tff(f943,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0)
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f328]) ).
tff(f328,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( ( X0 = X1 )
<=> ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& 'fun_app$m'('fun_app$n'('less_eq$f',X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom326) ).
tff(f10564,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_126 ),
inference(avatar_component_clause,[],[f10562]) ).
tff(f10562,plain,
( spl385_126
<=> 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b') ),
introduced(avatar_definition,[new_symbols(naming,[spl385_126])]) ).
tff(f10899,plain,
spl385_126,
inference(avatar_contradiction_clause,[],[f10895]) ).
tff(f10895,plain,
( $false
| spl385_126 ),
inference(resolution,[],[f10564,f2151]) ).
tff(f2151,plain,
! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),X0),
inference(cnf_transformation,[],[f443]) ).
tff(f443,axiom,
! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom441) ).
tff(f10880,plain,
( ~ spl385_126
| spl385_100
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10879,f10073,f6935,f10562]) ).
tff(f6935,plain,
( spl385_100
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),sK263('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_100])]) ).
tff(f10879,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_100
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10451,f10114]) ).
tff(f10114,plain,
( ! [X23: 'Nat$'] : ( 'bot$b' = X23 )
| ~ spl385_119 ),
inference(resolution,[],[f10074,f2744]) ).
tff(f2744,plain,
! [X0: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),'bot$b')
| ( 'bot$b' = X0 ) ),
inference(cnf_transformation,[],[f1228]) ).
tff(f1228,plain,
! [X0: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),'bot$b')
| ( 'bot$b' = X0 ) ),
inference(ennf_transformation,[],[f439]) ).
tff(f439,axiom,
! [X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X0),'bot$b')
=> ( 'bot$b' = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom437) ).
tff(f10074,plain,
( ! [X11: 'Nat$',X12: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',X11),X12)
| ~ spl385_119 ),
inference(avatar_component_clause,[],[f10073]) ).
tff(f10451,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),'bot$b')
| spl385_100
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6937,f10114]) ).
tff(f6937,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),sK263('of_nat$'))
| spl385_100 ),
inference(avatar_component_clause,[],[f6935]) ).
tff(f10874,plain,
( ~ spl385_140
| spl385_71
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10869,f10073,f5001,f10871]) ).
tff(f10871,plain,
( spl385_140
<=> 'less_eq$'('fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_140])]) ).
tff(f5001,plain,
( spl385_71
<=> 'less_eq$'('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$'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_71])]) ).
tff(f10869,plain,
( ~ 'less_eq$'('fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_71
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10868,f5293]) ).
tff(f5293,plain,
! [X3: 'A_run_set$',X4: 'A_run_set$',X5: 'A_run_set$'] : ( 'collect$'('uuf$'('uud$'(X3),'uug$'(X4,X5))) = 'collect$'('uuf$'('uud$'(X4),'uug$'(X3,X5))) ),
inference(superposition,[],[f5153,f5152]) ).
tff(f5152,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uuf$'('uud$'(X1),'uug$'(X2,X0))) = 'collect$'('uug$'(X2,'collect$'('uug$'(X1,X0)))) ),
inference(backward_demodulation,[],[f3180,f5147]) ).
tff(f5147,plain,
! [X2: 'A_run_set$',X3: 'A_run_bool_fun$'] : ( 'collect$'('uuf$'('uud$'(X2),X3)) = 'fun_app$q'('fun_app$r'('inf$',X2),'collect$'(X3)) ),
inference(superposition,[],[f2779,f5140]) ).
tff(f5140,plain,
! [X0: 'A_run_set$'] : ( 'collect$'('uud$'(X0)) = X0 ),
inference(forward_demodulation,[],[f5131,f3265]) ).
tff(f5131,plain,
! [X0: 'A_run_set$'] : ( 'collect$'('uud$'(X0)) = 'collect$'('uug$'(X0,X0)) ),
inference(superposition,[],[f3024,f2612]) ).
tff(f2612,plain,
! [X0: 'A_run_bool_fun$'] : ( 'fun_app$y'('inf$c'(X0),X0) = X0 ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,axiom,
! [X0: 'A_run_bool_fun$'] : ( 'fun_app$y'('inf$c'(X0),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom45) ).
tff(f3024,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('fun_app$y'('inf$c'('uud$'(X1)),'uud$'(X0))) = 'collect$'('uug$'(X1,X0)) ),
inference(backward_demodulation,[],[f1770,f2391]) ).
tff(f1770,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = 'collect$'('fun_app$y'('inf$c'('uud$'(X1)),'uud$'(X0))) ),
inference(cnf_transformation,[],[f1202]) ).
tff(f1202,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = 'collect$'('fun_app$y'('inf$c'('uud$'(X1)),'uud$'(X0))) ),
inference(rectify,[],[f234]) ).
tff(f234,axiom,
! [X1: 'A_run_set$',X0: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = 'collect$'('fun_app$y'('inf$c'('uud$'(X0)),'uud$'(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom232) ).
tff(f2779,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] : ( 'collect$'('uuf$'(X0,X1)) = 'fun_app$q'('fun_app$r'('inf$','collect$'(X0)),'collect$'(X1)) ),
inference(cnf_transformation,[],[f233]) ).
tff(f233,axiom,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] : ( 'collect$'('uuf$'(X0,X1)) = 'fun_app$q'('fun_app$r'('inf$','collect$'(X0)),'collect$'(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom231) ).
tff(f3180,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),'collect$'('uug$'(X2,X0))) = 'collect$'('uug$'(X2,'collect$'('uug$'(X1,X0)))) ),
inference(forward_demodulation,[],[f3179,f2391]) ).
tff(f3179,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),'collect$'('uug$'(X2,X0))) = 'collect$'('uug$'(X2,'fun_app$q'('fun_app$r'('inf$',X1),X0))) ),
inference(forward_demodulation,[],[f3178,f2391]) ).
tff(f3178,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X2,'fun_app$q'('fun_app$r'('inf$',X1),X0))) = 'fun_app$q'('fun_app$r'('inf$',X1),'fun_app$q'('fun_app$r'('inf$',X2),X0)) ),
inference(forward_demodulation,[],[f2248,f2391]) ).
tff(f2248,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X1),'fun_app$q'('fun_app$r'('inf$',X2),X0)) = 'fun_app$q'('fun_app$r'('inf$',X2),'fun_app$q'('fun_app$r'('inf$',X1),X0)) ),
inference(cnf_transformation,[],[f1106]) ).
tff(f1106,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$',X2),X0)) = 'fun_app$q'('fun_app$r'('inf$',X2),'fun_app$q'('fun_app$r'('inf$',X1),X0)) ),
inference(rectify,[],[f99]) ).
tff(f99,axiom,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X1),X2)) = 'fun_app$q'('fun_app$r'('inf$',X1),'fun_app$q'('fun_app$r'('inf$',X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom97) ).
tff(f5153,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uuf$'('uud$'(X2),'uug$'(X0,X1))) = 'collect$'('uug$'(X2,'collect$'('uug$'(X0,X1)))) ),
inference(backward_demodulation,[],[f3075,f5152]) ).
tff(f3075,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'collect$'('uug$'(X2,X1)))) = 'collect$'('uug$'(X2,'collect$'('uug$'(X0,X1)))) ),
inference(forward_demodulation,[],[f3074,f2391]) ).
tff(f3074,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'fun_app$q'('fun_app$r'('inf$',X2),X1))) = 'collect$'('uug$'(X2,'collect$'('uug$'(X0,X1)))) ),
inference(forward_demodulation,[],[f3073,f2391]) ).
tff(f3073,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'fun_app$q'('fun_app$r'('inf$',X2),X1))) = 'fun_app$q'('fun_app$r'('inf$',X2),'collect$'('uug$'(X0,X1))) ),
inference(forward_demodulation,[],[f3026,f2391]) ).
tff(f3026,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$',X2),'collect$'('uug$'(X0,X1))) = 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X2),X1)) ),
inference(backward_demodulation,[],[f1802,f2391]) ).
tff(f1802,plain,
! [X2: 'A_run_set$',X0: '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$',X0),'fun_app$q'('fun_app$r'('inf$',X2),X1)) ),
inference(cnf_transformation,[],[f969]) ).
tff(f969,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$',X2: '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$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X2),X1)) ),
inference(rectify,[],[f90]) ).
tff(f90,axiom,
! [X1: 'A_run_set$',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$',X1),'fun_app$q'('fun_app$r'('inf$',X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom88) ).
tff(f10868,plain,
( ~ 'less_eq$'('fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'),'collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$')),'uug$'('symbolic_run_interpretation$'('gamma_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_71
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10220,f10215]) ).
tff(f10215,plain,
( ! [X8: 'A_TESL_atomic_list$',X6: 'A_TESL_atomic_list$',X7: 'Nat$',X5: 'A_constr_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X5),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X6),X8)))) = 'collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'(X6),X7)),'uug$'('symbolic_run_interpretation$'(X5),'fun_app$s'('tESL_interpretation_stepwise$'(X8),'bot$b')))) )
| ~ spl385_119 ),
inference(backward_demodulation,[],[f5393,f10114]) ).
tff(f5393,plain,
! [X8: 'A_TESL_atomic_list$',X6: 'A_TESL_atomic_list$',X7: 'Nat$',X5: 'A_constr_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X5),'fun_app$k'('fun_app$l'('pair$b',X7),'fun_app$g'('fun_app$h'('pair$a',X6),X8)))) = 'collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'(X6),X7)),'uug$'('symbolic_run_interpretation$'(X5),'fun_app$s'('tESL_interpretation_stepwise$'(X8),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X7),1)))))) ),
inference(superposition,[],[f5154,f3226]) ).
tff(f5154,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uuf$'('uud$'(X1),'uug$'(X0,X2))) = 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'(X0,X1))),X2) ),
inference(backward_demodulation,[],[f3078,f5152]) ).
tff(f3078,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'(X0,X1))),X2) = 'collect$'('uug$'(X0,'collect$'('uug$'(X1,X2)))) ),
inference(forward_demodulation,[],[f3077,f2391]) ).
tff(f3077,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X1)),X2) = 'collect$'('uug$'(X0,'collect$'('uug$'(X1,X2)))) ),
inference(forward_demodulation,[],[f3054,f2391]) ).
tff(f3054,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$',X0),X1)),X2) = 'fun_app$q'('fun_app$r'('inf$',X0),'collect$'('uug$'(X1,X2))) ),
inference(backward_demodulation,[],[f2733,f2391]) ).
tff(f2733,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: '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$',X0),X1)),X2) ),
inference(cnf_transformation,[],[f94]) ).
tff(f94,axiom,
! [X1: 'A_run_set$',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/sandbox2/benchmark/theBenchmark.p',axiom92) ).
tff(f10220,plain,
( ~ 'less_eq$'('fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'),'heronConf_interpretation$'('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$')))))
| spl385_71
| ~ spl385_119 ),
inference(backward_demodulation,[],[f5003,f10114]) ).
tff(f5003,plain,
( ~ 'less_eq$'('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$')))))
| spl385_71 ),
inference(avatar_component_clause,[],[f5001]) ).
tff(f10866,plain,
( ~ spl385_126
| spl385_98
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10865,f10073,f6848,f10562]) ).
tff(f6848,plain,
( spl385_98
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),sK92('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_98])]) ).
tff(f10865,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_98
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10360,f10114]) ).
tff(f10360,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),'bot$b')
| spl385_98
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6850,f10114]) ).
tff(f6850,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),sK92('of_nat$'))
| spl385_98 ),
inference(avatar_component_clause,[],[f6848]) ).
tff(f10864,plain,
( ~ spl385_139
| spl385_99
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10450,f10073,f6931,f10861]) ).
tff(f10861,plain,
( spl385_139
<=> ( 'bot$b' = sK264('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_139])]) ).
tff(f6931,plain,
( spl385_99
<=> ( sK264('of_nat$') = sK263('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_99])]) ).
tff(f10450,plain,
( ( 'bot$b' != sK264('of_nat$') )
| spl385_99
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6932,f10114]) ).
tff(f6932,plain,
( ( sK264('of_nat$') != sK263('of_nat$') )
| spl385_99 ),
inference(avatar_component_clause,[],[f6931]) ).
tff(f10858,plain,
( ~ spl385_138
| spl385_97
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10359,f10073,f6844,f10855]) ).
tff(f10855,plain,
( spl385_138
<=> ( 'bot$b' = sK93('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_138])]) ).
tff(f6844,plain,
( spl385_97
<=> ( sK93('of_nat$') = sK92('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_97])]) ).
tff(f10359,plain,
( ( 'bot$b' != sK93('of_nat$') )
| spl385_97
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6845,f10114]) ).
tff(f6845,plain,
( ( sK93('of_nat$') != sK92('of_nat$') )
| spl385_97 ),
inference(avatar_component_clause,[],[f6844]) ).
tff(f10853,plain,
( ~ spl385_126
| spl385_118
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10852,f10073,f10069,f10562]) ).
tff(f10852,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_118
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10311,f10114]) ).
tff(f10311,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),sK30('less_eq$f'))
| spl385_118
| ~ spl385_119 ),
inference(backward_demodulation,[],[f10070,f10114]) ).
tff(f10070,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| spl385_118 ),
inference(avatar_component_clause,[],[f10069]) ).
tff(f10850,plain,
( ~ spl385_128
| spl385_52
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10849,f10073,f4460,f10581]) ).
tff(f10581,plain,
( spl385_128
<=> $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_128])]) ).
tff(f4460,plain,
( spl385_52
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_52])]) ).
tff(f10849,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_52
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10848,f10114]) ).
tff(f10848,plain,
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f','bot$b'),'bot$b')),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_52
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10356,f10114]) ).
tff(f10356,plain,
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f','bot$b'),sK93('of_nat$'))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| spl385_52
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4462,f10114]) ).
tff(f4462,plain,
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| spl385_52 ),
inference(avatar_component_clause,[],[f4460]) ).
tff(f10847,plain,
( ~ spl385_126
| spl385_24
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10846,f10073,f4045,f10562]) ).
tff(f4045,plain,
( spl385_24
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK136('less_eq$f')),sK138('less_eq$f')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_24])]) ).
tff(f10846,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_24
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10380,f10114]) ).
tff(f10380,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),sK138('less_eq$f'))
| spl385_24
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4046,f10114]) ).
tff(f4046,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK136('less_eq$f')),sK138('less_eq$f'))
| spl385_24 ),
inference(avatar_component_clause,[],[f4045]) ).
tff(f10838,plain,
( spl385_125
| ~ spl385_116
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10837,f10073,f9153,f10556]) ).
tff(f10556,plain,
( spl385_125
<=> $less($sum('fun_app$u'('of_nat$','bot$b'),1),$sum('fun_app$u'('of_nat$','bot$b'),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_125])]) ).
tff(f9153,plain,
( spl385_116
<=> $less($sum('fun_app$u'('of_nat$',sK263('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_116])]) ).
tff(f10837,plain,
( $less($sum('fun_app$u'('of_nat$','bot$b'),1),$sum('fun_app$u'('of_nat$','bot$b'),1))
| ~ spl385_116
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10460,f10114]) ).
tff(f10460,plain,
( $less($sum('fun_app$u'('of_nat$','bot$b'),1),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| ~ spl385_116
| ~ spl385_119 ),
inference(backward_demodulation,[],[f9155,f10114]) ).
tff(f9155,plain,
( $less($sum('fun_app$u'('of_nat$',sK263('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| ~ spl385_116 ),
inference(avatar_component_clause,[],[f9153]) ).
tff(f10829,plain,
( ~ spl385_128
| spl385_115
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10828,f10073,f9148,f10581]) ).
tff(f9148,plain,
( spl385_115
<=> $less('fun_app$u'('of_nat$',sK264('of_nat$')),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_115])]) ).
tff(f10828,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_115
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10459,f10114]) ).
tff(f10459,plain,
( ~ $less('fun_app$u'('of_nat$',sK264('of_nat$')),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_115
| ~ spl385_119 ),
inference(backward_demodulation,[],[f9150,f10114]) ).
tff(f9150,plain,
( ~ $less('fun_app$u'('of_nat$',sK264('of_nat$')),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1))
| spl385_115 ),
inference(avatar_component_clause,[],[f9148]) ).
tff(f10823,plain,
( spl385_137
| ~ spl385_37
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10818,f10073,f4296,f10820]) ).
tff(f10820,plain,
( spl385_137
<=> ( $sum('fun_app$u'('of_nat$','bot$b'),1) = 'fun_app$u'('of_nat$','bot$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_137])]) ).
tff(f4296,plain,
( spl385_37
<=> ( $sum('fun_app$u'('of_nat$',sK370('of_nat$')),1) = 'fun_app$u'('of_nat$',sK369('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_37])]) ).
tff(f10818,plain,
( ( $sum('fun_app$u'('of_nat$','bot$b'),1) = 'fun_app$u'('of_nat$','bot$b') )
| ~ spl385_37
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10515,f10114]) ).
tff(f10515,plain,
( ( $sum('fun_app$u'('of_nat$',sK370('of_nat$')),1) = 'fun_app$u'('of_nat$','bot$b') )
| ~ spl385_37
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4298,f10114]) ).
tff(f4298,plain,
( ( $sum('fun_app$u'('of_nat$',sK370('of_nat$')),1) = 'fun_app$u'('of_nat$',sK369('of_nat$')) )
| ~ spl385_37 ),
inference(avatar_component_clause,[],[f4296]) ).
tff(f10792,plain,
( ~ spl385_136
| spl385_91
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10522,f10073,f6708,f10789]) ).
tff(f10789,plain,
( spl385_136
<=> ( 'bot$b' = sK370('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_136])]) ).
tff(f6708,plain,
( spl385_91
<=> ( sK370('of_nat$') = sK369('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_91])]) ).
tff(f10522,plain,
( ( 'bot$b' != sK370('of_nat$') )
| spl385_91
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6709,f10114]) ).
tff(f6709,plain,
( ( sK370('of_nat$') != sK369('of_nat$') )
| spl385_91 ),
inference(avatar_component_clause,[],[f6708]) ).
tff(f10782,plain,
( spl385_111
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10781]) ).
tff(f10781,plain,
( $false
| spl385_111
| ~ spl385_119 ),
inference(trivial_inequality_removal,[],[f10780]) ).
tff(f10780,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$','bot$b') )
| spl385_111
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10455,f10114]) ).
tff(f10455,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$',sK264('of_nat$')) )
| spl385_111
| ~ spl385_119 ),
inference(backward_demodulation,[],[f7156,f10114]) ).
tff(f7156,plain,
( ( 'fun_app$u'('of_nat$',sK263('of_nat$')) != 'fun_app$u'('of_nat$',sK264('of_nat$')) )
| spl385_111 ),
inference(avatar_component_clause,[],[f7155]) ).
tff(f7155,plain,
( spl385_111
<=> ( 'fun_app$u'('of_nat$',sK263('of_nat$')) = 'fun_app$u'('of_nat$',sK264('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_111])]) ).
tff(f10778,plain,
( spl385_35
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10777]) ).
tff(f10777,plain,
( $false
| spl385_35
| ~ spl385_119 ),
inference(trivial_inequality_removal,[],[f10776]) ).
tff(f10776,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$','bot$b') )
| spl385_35
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10514,f10114]) ).
tff(f10514,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| spl385_35
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4289,f10114]) ).
tff(f4289,plain,
( ( 'fun_app$u'('of_nat$',sK369('of_nat$')) != 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| spl385_35 ),
inference(avatar_component_clause,[],[f4287]) ).
tff(f4287,plain,
( spl385_35
<=> ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = 'fun_app$u'('of_nat$',sK370('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_35])]) ).
tff(f10775,plain,
( spl385_127
| ~ spl385_42
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10774,f10073,f4322,f10572]) ).
tff(f10572,plain,
( spl385_127
<=> $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_127])]) ).
tff(f4322,plain,
( spl385_42
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_42])]) ).
tff(f10774,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_42
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10419,f10114]) ).
tff(f10419,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_42
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4324,f10114]) ).
tff(f4324,plain,
( $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_42 ),
inference(avatar_component_clause,[],[f4322]) ).
tff(f10769,plain,
( ~ spl385_126
| spl385_47
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10768,f10073,f4369,f10562]) ).
tff(f4369,plain,
( spl385_47
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK24(sK52('of_nat$'),'fun_app$n'('less_eq$f',sK53('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_47])]) ).
tff(f10768,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_47
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10276,f10114]) ).
tff(f10276,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),'bot$b')
| spl385_47
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4370,f10114]) ).
tff(f4370,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK24(sK52('of_nat$'),'fun_app$n'('less_eq$f',sK53('of_nat$'))))
| spl385_47 ),
inference(avatar_component_clause,[],[f4369]) ).
tff(f10749,plain,
( spl385_127
| ~ spl385_28
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10748,f10073,f4253,f10572]) ).
tff(f4253,plain,
( spl385_28
<=> $less('fun_app$u'('of_nat$',sK94('of_nat$')),'fun_app$u'('of_nat$','fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK94('of_nat$')),1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_28])]) ).
tff(f10748,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_28
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10236,f10114]) ).
tff(f10236,plain,
( $less('fun_app$u'('of_nat$',sK94('of_nat$')),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_28
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4255,f10114]) ).
tff(f4255,plain,
( $less('fun_app$u'('of_nat$',sK94('of_nat$')),'fun_app$u'('of_nat$','fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK94('of_nat$')),1))))
| ~ spl385_28 ),
inference(avatar_component_clause,[],[f4253]) ).
tff(f10734,plain,
( spl385_127
| ~ spl385_18
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10733,f10073,f3959,f10572]) ).
tff(f3959,plain,
( spl385_18
<=> $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_18])]) ).
tff(f10733,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_18
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10510,f10114]) ).
tff(f10510,plain,
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_18
| ~ spl385_119 ),
inference(backward_demodulation,[],[f3961,f10114]) ).
tff(f3961,plain,
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_18 ),
inference(avatar_component_clause,[],[f3959]) ).
tff(f10732,plain,
( ~ spl385_126
| spl385_16
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10731,f10073,f3909,f10562]) ).
tff(f3909,plain,
( spl385_16
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK370('of_nat$'),'fun_app$n'('less_eq$f',sK369('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_16])]) ).
tff(f10731,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_16
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10231,f10114]) ).
tff(f10231,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),'bot$b')
| spl385_16
| ~ spl385_119 ),
inference(backward_demodulation,[],[f3911,f10114]) ).
tff(f3911,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK370('of_nat$'),'fun_app$n'('less_eq$f',sK369('of_nat$')))),1)))
| spl385_16 ),
inference(avatar_component_clause,[],[f3909]) ).
tff(f10730,plain,
( spl385_127
| ~ spl385_108
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10729,f10073,f7050,f10572]) ).
tff(f7050,plain,
( spl385_108
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_108])]) ).
tff(f10729,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_108
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10523,f10114]) ).
tff(f10523,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f','bot$b'))),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_108
| ~ spl385_119 ),
inference(backward_demodulation,[],[f7052,f10114]) ).
tff(f7052,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_108 ),
inference(avatar_component_clause,[],[f7050]) ).
tff(f10722,plain,
( ~ spl385_126
| spl385_64
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10721,f10073,f4679,f10562]) ).
tff(f4679,plain,
( spl385_64
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_64])]) ).
tff(f10721,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_64
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10339,f10114]) ).
tff(f10339,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),sK53('of_nat$'))
| spl385_64
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4680,f10114]) ).
tff(f4680,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))
| spl385_64 ),
inference(avatar_component_clause,[],[f4679]) ).
tff(f10719,plain,
( ~ spl385_126
| spl385_10
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10718,f10073,f3860,f10562]) ).
tff(f3860,plain,
( spl385_10
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_10])]) ).
tff(f10718,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_10
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10509,f10114]) ).
tff(f10509,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),sK370('of_nat$'))
| spl385_10
| ~ spl385_119 ),
inference(backward_demodulation,[],[f3861,f10114]) ).
tff(f3861,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| spl385_10 ),
inference(avatar_component_clause,[],[f3860]) ).
tff(f10717,plain,
( ~ spl385_128
| spl385_88
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10716,f10073,f6633,f10581]) ).
tff(f6633,plain,
( spl385_88
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_88])]) ).
tff(f10716,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_88
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10417,f10114]) ).
tff(f10417,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| spl385_88
| ~ spl385_119 ),
inference(backward_demodulation,[],[f6635,f10114]) ).
tff(f6635,plain,
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| spl385_88 ),
inference(avatar_component_clause,[],[f6633]) ).
tff(f10715,plain,
( ~ spl385_126
| spl385_23
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10714,f10073,f4041,f10562]) ).
tff(f4041,plain,
( spl385_23
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK135('less_eq$f')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK135('less_eq$f')),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_23])]) ).
tff(f10714,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_23
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10249,f10114]) ).
tff(f10249,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK135('less_eq$f')),'bot$b')
| spl385_23
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4043,f10114]) ).
tff(f4043,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK135('less_eq$f')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK135('less_eq$f')),1)))
| spl385_23 ),
inference(avatar_component_clause,[],[f4041]) ).
tff(f10713,plain,
( ~ spl385_128
| spl385_135
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10709,f10073,f10711,f10581]) ).
tff(f10711,plain,
( spl385_135
<=> ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_bool_fun$'] :
( ~ 'fun_app$m'(X1,X2)
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$','bot$b'))
| 'fun_app$m'(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_135])]) ).
tff(f10709,plain,
( ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_bool_fun$'] :
( ~ 'fun_app$m'(X1,X2)
| ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| 'fun_app$m'(X1,X0)
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$','bot$b')) )
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10708,f10114]) ).
tff(f10708,plain,
( ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_bool_fun$'] :
( 'fun_app$m'(X1,X0)
| ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| ~ 'fun_app$m'(X1,X2)
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',sK290(X1,X2))) )
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10413,f10114]) ).
tff(f10413,plain,
( ! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_bool_fun$'] :
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$',sK290(X1,X2)),1))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',sK290(X1,X2)))
| 'fun_app$m'(X1,X0)
| ~ 'fun_app$m'(X1,X2) )
| ~ spl385_119 ),
inference(backward_demodulation,[],[f3928,f10114]) ).
tff(f3928,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_bool_fun$'] :
( ~ $less('fun_app$u'('of_nat$',sK205(X1,sK290(X1,X2))),$sum('fun_app$u'('of_nat$',sK290(X1,X2)),1))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',sK290(X1,X2)))
| ~ 'fun_app$m'(X1,X2)
| 'fun_app$m'(X1,X0) ),
inference(resolution,[],[f2440,f2620]) ).
tff(f2620,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( 'fun_app$m'(X0,sK290(X0,X1))
| ~ 'fun_app$m'(X0,X1) ),
inference(cnf_transformation,[],[f868]) ).
tff(f868,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ( 'fun_app$m'(X0,X1)
| ? [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
& ~ $less('fun_app$u'('of_nat$',X3),$sum('fun_app$u'('of_nat$',X1),1)) ) )
<=> ? [X2: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X1))
& 'fun_app$m'(X0,X2) ) ),
inference(rectify,[],[f672]) ).
tff(f672,plain,
! [X1: 'Nat_bool_fun$',X0: 'Nat$'] :
( ? [X2: 'Nat$'] :
( 'fun_app$m'(X1,X2)
& ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X0)) )
<=> ( 'fun_app$m'(X1,X0)
| ? [X2: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X0),1))
& 'fun_app$m'(X1,X2) ) ) ),
inference(theory_normalization,[],[f251]) ).
tff(f251,axiom,
! [X1: 'Nat_bool_fun$',X0: 'Nat$'] :
( ? [X2: 'Nat$'] :
( 'fun_app$m'(X1,X2)
& $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2)) )
<=> ( 'fun_app$m'(X1,X0)
| ? [X2: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X2))
& 'fun_app$m'(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom249) ).
tff(f2440,plain,
! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'(X0,X1)
| ~ $less('fun_app$u'('of_nat$',sK205(X0,X1)),$sum('fun_app$u'('of_nat$',X1),1))
| $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X1))
| 'fun_app$m'(X0,X2) ),
inference(cnf_transformation,[],[f1583]) ).
tff(f1583,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ( ! [X3: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X3),$sum('fun_app$u'('of_nat$',X1),1))
| 'fun_app$m'(X0,X3) )
& 'fun_app$m'(X0,X1) )
<=> ! [X2: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X1))
| 'fun_app$m'(X0,X2) ) ),
inference(ennf_transformation,[],[f1195]) ).
tff(f1195,plain,
! [X1: 'Nat$',X0: 'Nat_bool_fun$'] :
( ( 'fun_app$m'(X0,X1)
& ! [X3: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X3),$sum('fun_app$u'('of_nat$',X1),1))
=> 'fun_app$m'(X0,X3) ) )
<=> ! [X2: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X1))
=> 'fun_app$m'(X0,X2) ) ),
inference(rectify,[],[f776]) ).
tff(f776,plain,
! [X1: 'Nat_bool_fun$',X0: 'Nat$'] :
( ! [X2: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X0))
=> 'fun_app$m'(X1,X2) )
<=> ( 'fun_app$m'(X1,X0)
& ! [X2: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X0),1))
=> 'fun_app$m'(X1,X2) ) ) ),
inference(theory_normalization,[],[f252]) ).
tff(f252,axiom,
! [X1: 'Nat_bool_fun$',X0: 'Nat$'] :
( ! [X2: 'Nat$'] :
( $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2))
=> 'fun_app$m'(X1,X2) )
<=> ( 'fun_app$m'(X1,X0)
& ! [X2: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X2))
=> 'fun_app$m'(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom250) ).
tff(f10703,plain,
( spl385_133
| spl385_134
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10181,f10073,f10700,f10697]) ).
tff(f10697,plain,
( spl385_133
<=> ! [X0: $int] : ~ $less(X0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_133])]) ).
tff(f10700,plain,
( spl385_134
<=> ( 0 = 'fun_app$u'('of_nat$','bot$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_134])]) ).
tff(f10181,plain,
( ! [X0: $int] :
( ( 0 = 'fun_app$u'('of_nat$','bot$b') )
| ~ $less(X0,0) )
| ~ spl385_119 ),
inference(backward_demodulation,[],[f2843,f10114]) ).
tff(f2843,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ( 0 = 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) ) ),
inference(cnf_transformation,[],[f1330]) ).
tff(f1330,plain,
! [X0: $int] :
( ( ( 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) = X0 )
| $less(X0,0) )
& ( ( 0 = 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) )
| ~ $less(X0,0) ) ),
inference(ennf_transformation,[],[f713]) ).
tff(f713,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
=> ( 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) = X0 ) )
& ( $less(X0,0)
=> ( 0 = 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) ) ) ),
inference(theory_normalization,[],[f645]) ).
tff(f645,axiom,
! [X0: $int] :
( ( ~ $lesseq(0,X0)
=> ( 0 = 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) ) )
& ( $lesseq(0,X0)
=> ( 'fun_app$u'('of_nat$','fun_app$t'('nat$',X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom643) ).
tff(f10686,plain,
( ~ spl385_132
| spl385_21
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10681,f10073,f4024,f10683]) ).
tff(f10683,plain,
( spl385_132
<=> 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_132])]) ).
tff(f10681,plain,
( ~ 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_21
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10680,f5293]) ).
tff(f10680,plain,
( ~ 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'))),'collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$')),'uug$'('symbolic_run_interpretation$'('gamma_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_21
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10221,f10215]) ).
tff(f10221,plain,
( ~ 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b'))),'heronConf_interpretation$'('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$')))))
| spl385_21
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4026,f10114]) ).
tff(f10667,plain,
( ~ spl385_131
| spl385_20
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10662,f10073,f4019,f10664]) ).
tff(f10664,plain,
( spl385_131
<=> 'less_eq$'('collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_2$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b')))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_131])]) ).
tff(f10662,plain,
( ~ 'less_eq$'('collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_2$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b')))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_20
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10661,f5293]) ).
tff(f10661,plain,
( ~ 'less_eq$'('collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$')),'uug$'('symbolic_run_interpretation$'('gamma_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'bot$b')))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_20
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10660,f10215]) ).
tff(f10660,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$')))),'collect$'('uuf$'('uud$'('symbolic_run_interpretation$'('gamma_1$')),'uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_20
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10657,f5293]) ).
tff(f10657,plain,
( ~ 'less_eq$'('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$'),'phi_2$')))),'collect$'('uuf$'('uud$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$')),'uug$'('symbolic_run_interpretation$'('gamma_1$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'bot$b')))))
| spl385_20
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4021,f10215]) ).
tff(f10648,plain,
( ~ spl385_126
| spl385_59
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10647,f10073,f4528,f10562]) ).
tff(f4528,plain,
( spl385_59
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK24(sK264('of_nat$'),'fun_app$n'('less_eq$f',sK263('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_59])]) ).
tff(f10647,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_59
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10279,f10114]) ).
tff(f10279,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),'bot$b')
| spl385_59
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4529,f10114]) ).
tff(f4529,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK24(sK264('of_nat$'),'fun_app$n'('less_eq$f',sK263('of_nat$'))))
| spl385_59 ),
inference(avatar_component_clause,[],[f4528]) ).
tff(f10645,plain,
( spl385_127
| ~ spl385_112
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10644,f10073,f7159,f10572]) ).
tff(f7159,plain,
( spl385_112
<=> $less('fun_app$u'('of_nat$',sK263('of_nat$')),'fun_app$u'('of_nat$',sK264('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_112])]) ).
tff(f10644,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_112
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10456,f10114]) ).
tff(f10456,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',sK264('of_nat$')))
| ~ spl385_112
| ~ spl385_119 ),
inference(backward_demodulation,[],[f7161,f10114]) ).
tff(f7161,plain,
( $less('fun_app$u'('of_nat$',sK263('of_nat$')),'fun_app$u'('of_nat$',sK264('of_nat$')))
| ~ spl385_112 ),
inference(avatar_component_clause,[],[f7159]) ).
tff(f10640,plain,
( spl385_110
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10639]) ).
tff(f10639,plain,
( $false
| spl385_110
| ~ spl385_119 ),
inference(trivial_inequality_removal,[],[f10638]) ).
tff(f10638,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$','bot$b') )
| spl385_110
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10365,f10114]) ).
tff(f10365,plain,
( ( 'fun_app$u'('of_nat$','bot$b') != 'fun_app$u'('of_nat$',sK93('of_nat$')) )
| spl385_110
| ~ spl385_119 ),
inference(backward_demodulation,[],[f7148,f10114]) ).
tff(f7148,plain,
( ( 'fun_app$u'('of_nat$',sK92('of_nat$')) != 'fun_app$u'('of_nat$',sK93('of_nat$')) )
| spl385_110 ),
inference(avatar_component_clause,[],[f7147]) ).
tff(f7147,plain,
( spl385_110
<=> ( 'fun_app$u'('of_nat$',sK92('of_nat$')) = 'fun_app$u'('of_nat$',sK93('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_110])]) ).
tff(f10619,plain,
( spl385_129
| spl385_130
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10612,f10073,f10617,f10614]) ).
tff(f10614,plain,
( spl385_129
<=> ! [X1: 'Nat$'] : $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$','bot$b')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_129])]) ).
tff(f10617,plain,
( spl385_130
<=> ! [X2: 'Nat$',X5: 'Nat$',X0: 'Nat_bool_fun$'] :
( ~ 'fun_app$m'(X0,X5)
| ~ 'fun_app$m'(X0,X2)
| ~ $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_130])]) ).
tff(f10612,plain,
( ! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$',X5: 'Nat$'] :
( ~ 'fun_app$m'(X0,X5)
| ~ $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',X5))
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$','bot$b'))
| ~ 'fun_app$m'(X0,X2) )
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10527,f10114]) ).
tff(f10527,plain,
( ! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$',X5: 'Nat$'] :
( ~ 'fun_app$m'(X0,X2)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK377(X0,X1)))
| ~ $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',X5))
| ~ 'fun_app$m'(X0,X5) )
| ~ spl385_119 ),
inference(backward_demodulation,[],[f2835,f10114]) ).
tff(f2835,plain,
! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$',X5: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',sK376(X0)),'fun_app$u'('of_nat$',X5))
| ~ 'fun_app$m'(X0,X2)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK377(X0,X1)))
| ~ 'fun_app$m'(X0,X5) ),
inference(cnf_transformation,[],[f1597]) ).
tff(f1597,plain,
! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'(X0,X2)
| ? [X3: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X3))
& 'fun_app$m'(X0,X3) )
| ? [X4: 'Nat$'] :
( 'fun_app$m'(X0,X4)
& ! [X5: 'Nat$'] :
( ~ 'fun_app$m'(X0,X5)
| ~ $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',X5)) ) ) ),
inference(flattening,[],[f1596]) ).
tff(f1596,plain,
! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ? [X4: 'Nat$'] :
( 'fun_app$m'(X0,X4)
& ! [X5: 'Nat$'] :
( ~ 'fun_app$m'(X0,X5)
| ~ $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',X5)) ) )
| ~ 'fun_app$m'(X0,X2)
| ? [X3: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X3))
& 'fun_app$m'(X0,X3) ) ),
inference(ennf_transformation,[],[f1153]) ).
tff(f1153,plain,
! [X2: 'Nat$',X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ( 'fun_app$m'(X0,X2)
& ! [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
=> ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X3)) ) )
=> ? [X4: 'Nat$'] :
( 'fun_app$m'(X0,X4)
& ! [X5: 'Nat$'] :
( 'fun_app$m'(X0,X5)
=> ~ $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',X5)) ) ) ),
inference(rectify,[],[f757]) ).
tff(f757,plain,
! [X0: 'Nat_bool_fun$',X2: 'Nat$',X1: 'Nat$'] :
( ( ! [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
=> ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X3)) )
& 'fun_app$m'(X0,X1) )
=> ? [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
& ! [X4: 'Nat$'] :
( 'fun_app$m'(X0,X4)
=> ~ $less('fun_app$u'('of_nat$',X3),'fun_app$u'('of_nat$',X4)) ) ) ),
inference(theory_normalization,[],[f273]) ).
tff(f273,axiom,
! [X0: 'Nat_bool_fun$',X2: 'Nat$',X1: 'Nat$'] :
( ( ! [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
=> $lesseq('fun_app$u'('of_nat$',X3),'fun_app$u'('of_nat$',X2)) )
& 'fun_app$m'(X0,X1) )
=> ? [X3: 'Nat$'] :
( 'fun_app$m'(X0,X3)
& ! [X4: 'Nat$'] :
( 'fun_app$m'(X0,X4)
=> $lesseq('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom271) ).
tff(f10597,plain,
( ~ spl385_128
| spl385_61
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10596,f10073,f4538,f10581]) ).
tff(f4538,plain,
( spl385_61
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_61])]) ).
tff(f10596,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_61
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10416,f10114]) ).
tff(f10416,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| spl385_61
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4540,f10114]) ).
tff(f4540,plain,
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| spl385_61 ),
inference(avatar_component_clause,[],[f4538]) ).
tff(f10584,plain,
( ~ spl385_128
| spl385_114
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10579,f10073,f9126,f10581]) ).
tff(f9126,plain,
( spl385_114
<=> $less('fun_app$u'('of_nat$',sK93('of_nat$')),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_114])]) ).
tff(f10579,plain,
( ~ $less('fun_app$u'('of_nat$','bot$b'),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_114
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10369,f10114]) ).
tff(f10369,plain,
( ~ $less('fun_app$u'('of_nat$',sK93('of_nat$')),$sum('fun_app$u'('of_nat$','bot$b'),1))
| spl385_114
| ~ spl385_119 ),
inference(backward_demodulation,[],[f9128,f10114]) ).
tff(f9128,plain,
( ~ $less('fun_app$u'('of_nat$',sK93('of_nat$')),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1))
| spl385_114 ),
inference(avatar_component_clause,[],[f9126]) ).
tff(f10575,plain,
( spl385_127
| ~ spl385_109
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10570,f10073,f7143,f10572]) ).
tff(f7143,plain,
( spl385_109
<=> $less('fun_app$u'('of_nat$',sK92('of_nat$')),'fun_app$u'('of_nat$',sK93('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_109])]) ).
tff(f10570,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$','bot$b'))
| ~ spl385_109
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10364,f10114]) ).
tff(f10364,plain,
( $less('fun_app$u'('of_nat$','bot$b'),'fun_app$u'('of_nat$',sK93('of_nat$')))
| ~ spl385_109
| ~ spl385_119 ),
inference(backward_demodulation,[],[f7145,f10114]) ).
tff(f7145,plain,
( $less('fun_app$u'('of_nat$',sK92('of_nat$')),'fun_app$u'('of_nat$',sK93('of_nat$')))
| ~ spl385_109 ),
inference(avatar_component_clause,[],[f7143]) ).
tff(f10565,plain,
( ~ spl385_126
| spl385_65
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10560,f10073,f4703,f10562]) ).
tff(f4703,plain,
( spl385_65
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK24(sK53('of_nat$'),'fun_app$n'('less_eq$f',sK52('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_65])]) ).
tff(f10560,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f','bot$b'),'bot$b')
| spl385_65
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10277,f10114]) ).
tff(f10277,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),'bot$b')
| spl385_65
| ~ spl385_119 ),
inference(backward_demodulation,[],[f4704,f10114]) ).
tff(f4704,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK24(sK53('of_nat$'),'fun_app$n'('less_eq$f',sK52('of_nat$'))))
| spl385_65 ),
inference(avatar_component_clause,[],[f4703]) ).
tff(f10559,plain,
( spl385_125
| ~ spl385_113
| ~ spl385_119 ),
inference(avatar_split_clause,[],[f10554,f10073,f9121,f10556]) ).
tff(f9121,plain,
( spl385_113
<=> $less($sum('fun_app$u'('of_nat$',sK92('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_113])]) ).
tff(f10554,plain,
( $less($sum('fun_app$u'('of_nat$','bot$b'),1),$sum('fun_app$u'('of_nat$','bot$b'),1))
| ~ spl385_113
| ~ spl385_119 ),
inference(forward_demodulation,[],[f10368,f10114]) ).
tff(f10368,plain,
( $less($sum('fun_app$u'('of_nat$','bot$b'),1),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| ~ spl385_113
| ~ spl385_119 ),
inference(backward_demodulation,[],[f9123,f10114]) ).
tff(f9123,plain,
( $less($sum('fun_app$u'('of_nat$',sK92('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| ~ spl385_113 ),
inference(avatar_component_clause,[],[f9121]) ).
tff(f10140,plain,
( spl385_98
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10120]) ).
tff(f10120,plain,
( $false
| spl385_98
| ~ spl385_119 ),
inference(resolution,[],[f10074,f6850]) ).
tff(f10139,plain,
( spl385_24
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10121]) ).
tff(f10121,plain,
( $false
| spl385_24
| ~ spl385_119 ),
inference(resolution,[],[f10074,f4046]) ).
tff(f10138,plain,
( spl385_10
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10123]) ).
tff(f10123,plain,
( $false
| spl385_10
| ~ spl385_119 ),
inference(resolution,[],[f10074,f3861]) ).
tff(f10137,plain,
( spl385_100
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10122]) ).
tff(f10122,plain,
( $false
| spl385_100
| ~ spl385_119 ),
inference(resolution,[],[f10074,f6937]) ).
tff(f10136,plain,
( spl385_64
| ~ spl385_119 ),
inference(avatar_contradiction_clause,[],[f10119]) ).
tff(f10119,plain,
( $false
| spl385_64
| ~ spl385_119 ),
inference(resolution,[],[f10074,f4680]) ).
tff(f10095,plain,
( spl385_118
| spl385_119
| spl385_124 ),
inference(avatar_split_clause,[],[f10055,f10093,f10073,f10069]) ).
tff(f10093,plain,
( spl385_124
<=> ! [X9: 'A_run_set$',X10: 'Nat_a_run_set_fun$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK206(X10)),sK207(X10))
| 'less_eq$'(X9,'fun_app$s'(X10,sK32('less_eq$f')))
| ~ 'less_eq$'(X9,'fun_app$s'(X10,sK31('less_eq$f'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_124])]) ).
tff(f10055,plain,
! [X10: 'Nat_a_run_set_fun$',X8: 'Nat$',X9: 'A_run_set$',X7: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK206(X10)),sK207(X10))
| 'fun_app$m'('fun_app$n'('less_eq$f',X7),X8)
| ~ 'less_eq$'(X9,'fun_app$s'(X10,sK31('less_eq$f')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| 'less_eq$'(X9,'fun_app$s'(X10,sK32('less_eq$f'))) ),
inference(resolution,[],[f1988,f2457]) ).
tff(f2457,plain,
! [X2: 'Nat_a_run_set_fun$',X3: 'Nat$',X0: 'Nat$',X1: 'A_run_set$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X3)
| 'less_eq$'(X1,'fun_app$s'(X2,X3))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK206(X2)),sK207(X2))
| ~ 'less_eq$'(X1,'fun_app$s'(X2,X0)) ),
inference(cnf_transformation,[],[f1230]) ).
tff(f1230,plain,
! [X3: 'Nat$',X1: 'A_run_set$',X2: 'Nat_a_run_set_fun$',X0: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X3)
| 'less_eq$'(X1,'fun_app$s'(X2,X3))
| ? [X4: 'Nat$',X5: 'Nat$'] :
( ~ 'less_eq$'('fun_app$s'(X2,X4),'fun_app$s'(X2,X5))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) )
| ~ 'less_eq$'(X1,'fun_app$s'(X2,X0)) ),
inference(flattening,[],[f1229]) ).
tff(f1229,plain,
! [X0: 'Nat$',X2: 'Nat_a_run_set_fun$',X1: 'A_run_set$',X3: 'Nat$'] :
( 'less_eq$'(X1,'fun_app$s'(X2,X3))
| ? [X4: 'Nat$',X5: 'Nat$'] :
( ~ 'less_eq$'('fun_app$s'(X2,X4),'fun_app$s'(X2,X5))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X3)
| ~ 'less_eq$'(X1,'fun_app$s'(X2,X0)) ),
inference(ennf_transformation,[],[f796]) ).
tff(f796,plain,
! [X0: 'Nat$',X2: 'Nat_a_run_set_fun$',X1: 'A_run_set$',X3: 'Nat$'] :
( ( ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> 'less_eq$'('fun_app$s'(X2,X4),'fun_app$s'(X2,X5)) )
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X3)
& 'less_eq$'(X1,'fun_app$s'(X2,X0)) )
=> 'less_eq$'(X1,'fun_app$s'(X2,X3)) ),
inference(rectify,[],[f343]) ).
tff(f343,axiom,
! [X2: 'Nat$',X0: 'A_run_set$',X1: 'Nat_a_run_set_fun$',X3: 'Nat$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> 'less_eq$'('fun_app$s'(X1,X4),'fun_app$s'(X1,X5)) )
& 'less_eq$'(X0,'fun_app$s'(X1,X2))
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) )
=> 'less_eq$'(X0,'fun_app$s'(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom341) ).
tff(f1988,plain,
! [X2: 'Nat$',X0: 'Nat_nat_bool_fun_fun$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29(X0)),sK30(X0))
| 'fun_app$m'('fun_app$n'(X0,X1),X2)
| 'fun_app$m'('fun_app$n'(X0,sK31(X0)),sK32(X0)) ),
inference(cnf_transformation,[],[f1422]) ).
tff(f10091,plain,
( spl385_119
| spl385_118
| spl385_123 ),
inference(avatar_split_clause,[],[f10057,f10089,f10069,f10073]) ).
tff(f10089,plain,
( spl385_123
<=> ! [X16: 'Nat_a_run_set_fun$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK36(X16)),sK37(X16))
| 'less_eq$'('fun_app$s'(X16,sK31('less_eq$f')),'fun_app$s'(X16,sK32('less_eq$f'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_123])]) ).
tff(f10057,plain,
! [X16: 'Nat_a_run_set_fun$',X14: 'Nat$',X15: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK36(X16)),sK37(X16))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| 'less_eq$'('fun_app$s'(X16,sK31('less_eq$f')),'fun_app$s'(X16,sK32('less_eq$f')))
| 'fun_app$m'('fun_app$n'('less_eq$f',X14),X15) ),
inference(resolution,[],[f1988,f2890]) ).
tff(f2890,plain,
! [X2: 'Nat$',X0: 'Nat_a_run_set_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK36(X0)),sK37(X0))
| 'less_eq$'('fun_app$s'(X0,X2),'fun_app$s'(X0,X1)) ),
inference(equality_resolution,[],[f2034]) ).
tff(f2034,plain,
! [X2: 'Nat$',X3: 'A_run_set$',X0: 'Nat_a_run_set_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK36(X0)),sK37(X0))
| 'less_eq$'(X3,'fun_app$s'(X0,X1))
| ( 'fun_app$s'(X0,X2) != X3 ) ),
inference(cnf_transformation,[],[f1481]) ).
tff(f1481,plain,
! [X1: 'Nat$',X0: 'Nat_a_run_set_fun$',X2: 'Nat$',X3: 'A_run_set$'] :
( ( 'fun_app$s'(X0,X2) != X3 )
| 'less_eq$'(X3,'fun_app$s'(X0,X1))
| ? [X4: 'Nat$',X5: 'Nat$'] :
( ~ 'less_eq$'('fun_app$s'(X0,X4),'fun_app$s'(X0,X5))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1) ),
inference(flattening,[],[f1480]) ).
tff(f1480,plain,
! [X1: 'Nat$',X0: 'Nat_a_run_set_fun$',X3: 'A_run_set$',X2: 'Nat$'] :
( 'less_eq$'(X3,'fun_app$s'(X0,X1))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
| ( 'fun_app$s'(X0,X2) != X3 )
| ? [X4: 'Nat$',X5: 'Nat$'] :
( ~ 'less_eq$'('fun_app$s'(X0,X4),'fun_app$s'(X0,X5))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) ) ),
inference(ennf_transformation,[],[f934]) ).
tff(f934,plain,
! [X1: 'Nat$',X0: 'Nat_a_run_set_fun$',X3: 'A_run_set$',X2: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X2),X1)
& ( 'fun_app$s'(X0,X2) = X3 )
& ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> 'less_eq$'('fun_app$s'(X0,X4),'fun_app$s'(X0,X5)) ) )
=> 'less_eq$'(X3,'fun_app$s'(X0,X1)) ),
inference(rectify,[],[f368]) ).
tff(f368,axiom,
! [X1: 'Nat_a_run_set_fun$',X3: 'Nat$',X2: 'Nat$',X0: 'A_run_set$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
& ( 'fun_app$s'(X1,X2) = X0 )
& ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> 'less_eq$'('fun_app$s'(X1,X4),'fun_app$s'(X1,X5)) ) )
=> 'less_eq$'(X0,'fun_app$s'(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom366) ).
tff(f10087,plain,
( spl385_118
| spl385_122
| spl385_119
| ~ spl385_12 ),
inference(avatar_split_clause,[],[f10053,f3868,f10073,f10084,f10069]) ).
tff(f10084,plain,
( spl385_122
<=> $less('fun_app$u'('of_nat$',sK31('less_eq$f')),$sum('fun_app$u'('of_nat$',sK32('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_122])]) ).
tff(f10053,plain,
( ! [X3: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X3),X4)
| $less('fun_app$u'('of_nat$',sK31('less_eq$f')),$sum('fun_app$u'('of_nat$',sK32('less_eq$f')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f')) )
| ~ spl385_12 ),
inference(resolution,[],[f1988,f3869]) ).
tff(f10082,plain,
( spl385_119
| spl385_121
| spl385_118 ),
inference(avatar_split_clause,[],[f10052,f10069,f10080,f10073]) ).
tff(f10052,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK32('less_eq$f')),X2)
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK31('less_eq$f')),X2) ),
inference(resolution,[],[f1988,f2360]) ).
tff(f10078,plain,
( spl385_118
| spl385_119
| spl385_120 ),
inference(avatar_split_clause,[],[f10056,f10076,f10073,f10069]) ).
tff(f10076,plain,
( spl385_120
<=> ! [X13: 'Nat_a_run_set_fun$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK258(X13)),sK257(X13))
| 'less_eq$'('fun_app$s'(X13,sK31('less_eq$f')),'fun_app$s'(X13,sK32('less_eq$f'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_120])]) ).
tff(f10056,plain,
! [X11: 'Nat$',X12: 'Nat$',X13: 'Nat_a_run_set_fun$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK258(X13)),sK257(X13))
| 'fun_app$m'('fun_app$n'('less_eq$f',X11),X12)
| 'less_eq$'('fun_app$s'(X13,sK31('less_eq$f')),'fun_app$s'(X13,sK32('less_eq$f')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK29('less_eq$f')),sK30('less_eq$f')) ),
inference(resolution,[],[f1988,f2958]) ).
tff(f2958,plain,
! [X3: 'Nat_a_run_set_fun$',X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK258(X3)),sK257(X3))
| 'less_eq$'('fun_app$s'(X3,X0),'fun_app$s'(X3,X1)) ),
inference(equality_resolution,[],[f2555]) ).
tff(f2555,plain,
! [X2: 'A_run_set$',X3: 'Nat_a_run_set_fun$',X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK258(X3)),sK257(X3))
| ( 'fun_app$s'(X3,X1) != X2 )
| 'less_eq$'('fun_app$s'(X3,X0),X2) ),
inference(cnf_transformation,[],[f1640]) ).
tff(f1640,plain,
! [X1: 'Nat$',X0: 'Nat$',X2: 'A_run_set$',X3: 'Nat_a_run_set_fun$'] :
( 'less_eq$'('fun_app$s'(X3,X0),X2)
| ( 'fun_app$s'(X3,X1) != X2 )
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X5),X4)
& ~ 'less_eq$'('fun_app$s'(X3,X5),'fun_app$s'(X3,X4)) )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(flattening,[],[f1639]) ).
tff(f1639,plain,
! [X0: 'Nat$',X2: 'A_run_set$',X1: 'Nat$',X3: 'Nat_a_run_set_fun$'] :
( 'less_eq$'('fun_app$s'(X3,X0),X2)
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X5),X4)
& ~ 'less_eq$'('fun_app$s'(X3,X5),'fun_app$s'(X3,X4)) )
| ( 'fun_app$s'(X3,X1) != X2 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) ),
inference(ennf_transformation,[],[f957]) ).
tff(f957,plain,
! [X0: 'Nat$',X2: 'A_run_set$',X1: 'Nat$',X3: 'Nat_a_run_set_fun$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X5),X4)
=> 'less_eq$'('fun_app$s'(X3,X5),'fun_app$s'(X3,X4)) )
& ( 'fun_app$s'(X3,X1) = X2 )
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1) )
=> 'less_eq$'('fun_app$s'(X3,X0),X2) ),
inference(rectify,[],[f377]) ).
tff(f377,axiom,
! [X0: 'Nat$',X1: 'Nat$',X3: 'A_run_set$',X2: 'Nat_a_run_set_fun$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> 'less_eq$'('fun_app$s'(X2,X4),'fun_app$s'(X2,X5)) )
& ( 'fun_app$s'(X2,X1) = X3 ) )
=> 'less_eq$'('fun_app$s'(X2,X0),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom375) ).
tff(f9539,plain,
( spl385_117
| spl385_55
| spl385_10 ),
inference(avatar_split_clause,[],[f9497,f3860,f4476,f9536]) ).
tff(f9536,plain,
( spl385_117
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK204('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_117])]) ).
tff(f4476,plain,
( spl385_55
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_55])]) ).
tff(f9497,plain,
( ! [X101: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X101)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK204('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),1)) )
| spl385_10 ),
inference(resolution,[],[f3495,f3861]) ).
tff(f3495,plain,
! [X3: 'Nat_bool_fun$',X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'(X3,X4)
| 'fun_app$m'(X3,X5)
| $less('fun_app$u'('of_nat$',sK378(X3)),$sum('fun_app$u'('of_nat$',sK204(X3,X4)),1)) ),
inference(resolution,[],[f2854,f2443]) ).
tff(f2443,plain,
! [X0: 'Nat_bool_fun$',X1: 'Nat$'] :
( ~ 'fun_app$m'(X0,sK204(X0,X1))
| 'fun_app$m'(X0,X1) ),
inference(cnf_transformation,[],[f1583]) ).
tff(f9156,plain,
( spl385_116
| ~ spl385_112 ),
inference(avatar_split_clause,[],[f9131,f7159,f9153]) ).
tff(f9131,plain,
( $less($sum('fun_app$u'('of_nat$',sK263('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| ~ spl385_112 ),
inference(resolution,[],[f7161,f1818]) ).
tff(f1818,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
| $less($sum('fun_app$u'('of_nat$',X0),1),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(cnf_transformation,[],[f893]) ).
tff(f893,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
<=> ~ $less($sum('fun_app$u'('of_nat$',X0),1),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(rectify,[],[f681]) ).
tff(f681,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less($sum('fun_app$u'('of_nat$',X1),1),$sum('fun_app$u'('of_nat$',X0),1))
<=> ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(theory_normalization,[],[f258]) ).
tff(f258,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X0),1),$sum('fun_app$u'('of_nat$',X1),1))
<=> $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom256) ).
tff(f9151,plain,
( ~ spl385_115
| ~ spl385_112 ),
inference(avatar_split_clause,[],[f9132,f7159,f9148]) ).
tff(f9132,plain,
( ~ $less('fun_app$u'('of_nat$',sK264('of_nat$')),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1))
| ~ spl385_112 ),
inference(resolution,[],[f7161,f2273]) ).
tff(f2273,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
| ~ $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(cnf_transformation,[],[f729]) ).
tff(f729,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
<=> $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(theory_normalization,[],[f282]) ).
tff(f282,axiom,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
<=> $lesseq($sum('fun_app$u'('of_nat$',X1),1),'fun_app$u'('of_nat$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom280) ).
tff(f9129,plain,
( ~ spl385_114
| ~ spl385_109 ),
inference(avatar_split_clause,[],[f9105,f7143,f9126]) ).
tff(f9105,plain,
( ~ $less('fun_app$u'('of_nat$',sK93('of_nat$')),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1))
| ~ spl385_109 ),
inference(resolution,[],[f7145,f2273]) ).
tff(f9124,plain,
( spl385_113
| ~ spl385_109 ),
inference(avatar_split_clause,[],[f9104,f7143,f9121]) ).
tff(f9104,plain,
( $less($sum('fun_app$u'('of_nat$',sK92('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| ~ spl385_109 ),
inference(resolution,[],[f7145,f1818]) ).
tff(f7163,plain,
( spl385_111
| spl385_112
| spl385_40 ),
inference(avatar_split_clause,[],[f7153,f4311,f7159,f7155]) ).
tff(f4311,plain,
( spl385_40
<=> $less('fun_app$u'('of_nat$',sK264('of_nat$')),'fun_app$u'('of_nat$',sK263('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_40])]) ).
tff(f7153,plain,
( $less('fun_app$u'('of_nat$',sK263('of_nat$')),'fun_app$u'('of_nat$',sK264('of_nat$')))
| ( 'fun_app$u'('of_nat$',sK263('of_nat$')) = 'fun_app$u'('of_nat$',sK264('of_nat$')) )
| spl385_40 ),
inference(resolution,[],[f4312,f2645]) ).
tff(f2645,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f1441]) ).
tff(f1441,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( ( X0 = X1 )
<=> ~ $less(X0,X1) ) ),
inference(ennf_transformation,[],[f657]) ).
tff(f657,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ( ( X0 = X1 )
<=> ~ $less(X0,X1) ) ),
inference(theory_normalization,[],[f387]) ).
tff(f387,axiom,
! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> ( ( X0 = X1 )
<=> $lesseq(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom385) ).
tff(f4312,plain,
( ~ $less('fun_app$u'('of_nat$',sK264('of_nat$')),'fun_app$u'('of_nat$',sK263('of_nat$')))
| spl385_40 ),
inference(avatar_component_clause,[],[f4311]) ).
tff(f7162,plain,
( spl385_111
| spl385_112
| spl385_40 ),
inference(avatar_split_clause,[],[f7152,f4311,f7159,f7155]) ).
tff(f7152,plain,
( $less('fun_app$u'('of_nat$',sK263('of_nat$')),'fun_app$u'('of_nat$',sK264('of_nat$')))
| ( 'fun_app$u'('of_nat$',sK263('of_nat$')) = 'fun_app$u'('of_nat$',sK264('of_nat$')) )
| spl385_40 ),
inference(resolution,[],[f4312,f2645]) ).
tff(f7151,plain,
( spl385_110
| spl385_109
| spl385_39 ),
inference(avatar_split_clause,[],[f7140,f4306,f7143,f7147]) ).
tff(f4306,plain,
( spl385_39
<=> $less('fun_app$u'('of_nat$',sK93('of_nat$')),'fun_app$u'('of_nat$',sK92('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_39])]) ).
tff(f7140,plain,
( $less('fun_app$u'('of_nat$',sK92('of_nat$')),'fun_app$u'('of_nat$',sK93('of_nat$')))
| ( 'fun_app$u'('of_nat$',sK92('of_nat$')) = 'fun_app$u'('of_nat$',sK93('of_nat$')) )
| spl385_39 ),
inference(resolution,[],[f4307,f2645]) ).
tff(f4307,plain,
( ~ $less('fun_app$u'('of_nat$',sK93('of_nat$')),'fun_app$u'('of_nat$',sK92('of_nat$')))
| spl385_39 ),
inference(avatar_component_clause,[],[f4306]) ).
tff(f7150,plain,
( spl385_109
| spl385_110
| spl385_39 ),
inference(avatar_split_clause,[],[f7141,f4306,f7147,f7143]) ).
tff(f7141,plain,
( ( 'fun_app$u'('of_nat$',sK92('of_nat$')) = 'fun_app$u'('of_nat$',sK93('of_nat$')) )
| $less('fun_app$u'('of_nat$',sK92('of_nat$')),'fun_app$u'('of_nat$',sK93('of_nat$')))
| spl385_39 ),
inference(resolution,[],[f4307,f2645]) ).
tff(f7053,plain,
( spl385_108
| ~ spl385_37
| ~ spl385_54 ),
inference(avatar_split_clause,[],[f7048,f4472,f4296,f7050]) ).
tff(f4472,plain,
( spl385_54
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_54])]) ).
tff(f7048,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_37
| ~ spl385_54 ),
inference(backward_demodulation,[],[f4474,f4298]) ).
tff(f4474,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1))
| ~ spl385_54 ),
inference(avatar_component_clause,[],[f4472]) ).
tff(f7044,plain,
( spl385_107
| ~ spl385_12
| ~ spl385_32 ),
inference(avatar_split_clause,[],[f7023,f4272,f3868,f7041]) ).
tff(f7041,plain,
( spl385_107
<=> $less('fun_app$u'('of_nat$',sK263('of_nat$')),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_107])]) ).
tff(f4272,plain,
( spl385_32
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_32])]) ).
tff(f7023,plain,
( $less('fun_app$u'('of_nat$',sK263('of_nat$')),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| ~ spl385_12
| ~ spl385_32 ),
inference(resolution,[],[f3869,f4274]) ).
tff(f4274,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))
| ~ spl385_32 ),
inference(avatar_component_clause,[],[f4272]) ).
tff(f7039,plain,
( spl385_33
| ~ spl385_12
| ~ spl385_77 ),
inference(avatar_split_clause,[],[f7024,f6463,f3868,f4277]) ).
tff(f4277,plain,
( spl385_33
<=> $less('fun_app$u'('of_nat$',sK370('of_nat$')),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_33])]) ).
tff(f6463,plain,
( spl385_77
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_77])]) ).
tff(f7024,plain,
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_12
| ~ spl385_77 ),
inference(resolution,[],[f3869,f6464]) ).
tff(f6464,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))
| ~ spl385_77 ),
inference(avatar_component_clause,[],[f6463]) ).
tff(f7038,plain,
( spl385_106
| ~ spl385_12
| ~ spl385_31 ),
inference(avatar_split_clause,[],[f7022,f4267,f3868,f7035]) ).
tff(f7035,plain,
( spl385_106
<=> $less('fun_app$u'('of_nat$',sK92('of_nat$')),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_106])]) ).
tff(f4267,plain,
( spl385_31
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_31])]) ).
tff(f7022,plain,
( $less('fun_app$u'('of_nat$',sK92('of_nat$')),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| ~ spl385_12
| ~ spl385_31 ),
inference(resolution,[],[f3869,f4269]) ).
tff(f4269,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))
| ~ spl385_31 ),
inference(avatar_component_clause,[],[f4267]) ).
tff(f7033,plain,
( spl385_105
| ~ spl385_12
| ~ spl385_29 ),
inference(avatar_split_clause,[],[f7021,f4259,f3868,f7030]) ).
tff(f7030,plain,
( spl385_105
<=> $less('fun_app$u'('of_nat$',sK53('of_nat$')),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_105])]) ).
tff(f4259,plain,
( spl385_29
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_29])]) ).
tff(f7021,plain,
( $less('fun_app$u'('of_nat$',sK53('of_nat$')),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1))
| ~ spl385_12
| ~ spl385_29 ),
inference(resolution,[],[f3869,f4261]) ).
tff(f4261,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$'))
| ~ spl385_29 ),
inference(avatar_component_clause,[],[f4259]) ).
tff(f6981,plain,
( spl385_104
| spl385_100 ),
inference(avatar_split_clause,[],[f6970,f6935,f6977]) ).
tff(f6977,plain,
( spl385_104
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK264('of_nat$')))),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_104])]) ).
tff(f6970,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK264('of_nat$')))),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1))
| spl385_100 ),
inference(resolution,[],[f6937,f3498]) ).
tff(f6980,plain,
( spl385_103
| spl385_104
| spl385_100 ),
inference(avatar_split_clause,[],[f6971,f6935,f6977,f6974]) ).
tff(f6974,plain,
( spl385_103
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_103])]) ).
tff(f6971,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK264('of_nat$')))),$sum('fun_app$u'('of_nat$',sK263('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),X0) )
| spl385_100 ),
inference(resolution,[],[f6937,f2854]) ).
tff(f6967,plain,
( spl385_101
| spl385_98 ),
inference(avatar_split_clause,[],[f6956,f6848,f6960]) ).
tff(f6960,plain,
( spl385_101
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK93('of_nat$')))),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_101])]) ).
tff(f6956,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK93('of_nat$')))),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1))
| spl385_98 ),
inference(resolution,[],[f6850,f3498]) ).
tff(f6966,plain,
( spl385_101
| spl385_102
| spl385_98 ),
inference(avatar_split_clause,[],[f6957,f6848,f6964,f6960]) ).
tff(f6964,plain,
( spl385_102
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_102])]) ).
tff(f6957,plain,
( ! [X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),X0)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK93('of_nat$')))),$sum('fun_app$u'('of_nat$',sK92('of_nat$')),1)) )
| spl385_98 ),
inference(resolution,[],[f6850,f2854]) ).
tff(f6938,plain,
( spl385_99
| ~ spl385_100
| ~ spl385_32 ),
inference(avatar_split_clause,[],[f6918,f4272,f6935,f6931]) ).
tff(f6918,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK264('of_nat$')),sK263('of_nat$'))
| ( sK264('of_nat$') = sK263('of_nat$') )
| ~ spl385_32 ),
inference(resolution,[],[f4274,f2771]) ).
tff(f6851,plain,
( spl385_97
| ~ spl385_98
| ~ spl385_31 ),
inference(avatar_split_clause,[],[f6831,f4267,f6848,f6844]) ).
tff(f6831,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK93('of_nat$')),sK92('of_nat$'))
| ( sK93('of_nat$') = sK92('of_nat$') )
| ~ spl385_31 ),
inference(resolution,[],[f4269,f2771]) ).
tff(f6735,plain,
( spl385_27
| spl385_35
| spl385_18 ),
inference(avatar_split_clause,[],[f4490,f3959,f4287,f4249]) ).
tff(f4249,plain,
( spl385_27
<=> $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_27])]) ).
tff(f4490,plain,
( ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$')))
| spl385_18 ),
inference(resolution,[],[f3960,f2645]) ).
tff(f3960,plain,
( ~ $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| spl385_18 ),
inference(avatar_component_clause,[],[f3959]) ).
tff(f6734,plain,
( spl385_95
| spl385_96
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6670,f4287,f6732,f6728]) ).
tff(f6728,plain,
( spl385_95
<=> ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = $sum('fun_app$u'('of_nat$',sK131(sK370('of_nat$'))),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_95])]) ).
tff(f6732,plain,
( spl385_96
<=> ! [X20: 'Nat$'] : $less('fun_app$u'('of_nat$',sK369('of_nat$')),$sum('fun_app$u'('of_nat$',X20),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_96])]) ).
tff(f6670,plain,
( ! [X20: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK369('of_nat$')),$sum('fun_app$u'('of_nat$',X20),1))
| ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = $sum('fun_app$u'('of_nat$',sK131(sK370('of_nat$'))),1) ) )
| ~ spl385_35 ),
inference(superposition,[],[f2313,f4288]) ).
tff(f4288,plain,
( ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| ~ spl385_35 ),
inference(avatar_component_clause,[],[f4287]) ).
tff(f2313,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
| ( 'fun_app$u'('of_nat$',X0) = $sum('fun_app$u'('of_nat$',sK131(X0)),1) ) ),
inference(cnf_transformation,[],[f1445]) ).
tff(f1445,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
| ? [X2: 'Nat$'] : ( 'fun_app$u'('of_nat$',X0) = $sum('fun_app$u'('of_nat$',X2),1) ) ),
inference(ennf_transformation,[],[f1067]) ).
tff(f1067,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
=> ? [X2: 'Nat$'] : ( 'fun_app$u'('of_nat$',X0) = $sum('fun_app$u'('of_nat$',X2),1) ) ),
inference(rectify,[],[f732]) ).
tff(f732,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X1),$sum('fun_app$u'('of_nat$',X0),1))
=> ? [X2: 'Nat$'] : ( 'fun_app$u'('of_nat$',X1) = $sum('fun_app$u'('of_nat$',X2),1) ) ),
inference(theory_normalization,[],[f285]) ).
tff(f285,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X1))
=> ? [X2: 'Nat$'] : ( 'fun_app$u'('of_nat$',X1) = $sum('fun_app$u'('of_nat$',X2),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom283) ).
tff(f6726,plain,
( spl385_10
| spl385_92
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6693,f4287,f6713,f3860]) ).
tff(f6713,plain,
( spl385_92
<=> ! [X48: 'Nat$',X47: $int] :
( $less('fun_app$u'('of_nat$',X48),X47)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X48),sK370('of_nat$'))
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_92])]) ).
tff(f6693,plain,
( ! [X50: 'Nat$',X49: $int] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X50),sK370('of_nat$'))
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),X49)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X50),X49) )
| ~ spl385_35 ),
inference(superposition,[],[f2809,f4288]) ).
tff(f2809,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ~ $less('fun_app$u'(X3,X0),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X0)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369(X3)),sK370(X3))
| $less('fun_app$u'(X3,X2),X1) ),
inference(cnf_transformation,[],[f1572]) ).
tff(f1572,plain,
! [X1: $int,X2: 'Nat$',X0: 'Nat$',X3: 'Nat_int_fun$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X0)
| ~ $less('fun_app$u'(X3,X0),X1)
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4)) )
| $less('fun_app$u'(X3,X2),X1) ),
inference(flattening,[],[f1571]) ).
tff(f1571,plain,
! [X1: $int,X0: 'Nat$',X2: 'Nat$',X3: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X3,X0),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X0)
| $less('fun_app$u'(X3,X2),X1)
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4)) ) ),
inference(ennf_transformation,[],[f1174]) ).
tff(f1174,plain,
! [X1: $int,X0: 'Nat$',X2: 'Nat$',X3: 'Nat_int_fun$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X2),X0)
& ~ $less('fun_app$u'(X3,X2),X1)
& ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4)) ) )
=> ~ $less('fun_app$u'(X3,X0),X1) ),
inference(rectify,[],[f768]) ).
tff(f768,plain,
! [X3: 'Nat$',X0: $int,X2: 'Nat$',X1: 'Nat_int_fun$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X1,X5),'fun_app$u'(X1,X4)) )
& ~ $less('fun_app$u'(X1,X2),X0)
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) )
=> ~ $less('fun_app$u'(X1,X3),X0) ),
inference(theory_normalization,[],[f349]) ).
tff(f349,axiom,
! [X3: 'Nat$',X0: $int,X2: 'Nat$',X1: 'Nat_int_fun$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> $lesseq('fun_app$u'(X1,X4),'fun_app$u'(X1,X5)) )
& $lesseq(X0,'fun_app$u'(X1,X2))
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) )
=> $lesseq(X0,'fun_app$u'(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom347) ).
tff(f6725,plain,
( spl385_90
| spl385_32
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6699,f4287,f4272,f6703]) ).
tff(f6703,plain,
( spl385_90
<=> ! [X51: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X51),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_90])]) ).
tff(f6699,plain,
( ! [X56: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X56)
| ~ $less('fun_app$u'('of_nat$',X56),'fun_app$u'('of_nat$',sK369('of_nat$'))) )
| ~ spl385_35 ),
inference(superposition,[],[f2964,f4288]) ).
tff(f2964,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X0,X3),'fun_app$u'(X0,X2))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263(X0)),sK264(X0))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(equality_resolution,[],[f2574]) ).
tff(f2574,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: 'Nat_int_fun$',X1: $int] :
( ~ $less(X1,'fun_app$u'(X0,X2))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263(X0)),sK264(X0))
| ( 'fun_app$u'(X0,X3) != X1 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(cnf_transformation,[],[f1545]) ).
tff(f1545,plain,
! [X0: 'Nat_int_fun$',X2: 'Nat$',X1: $int,X3: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| ( 'fun_app$u'(X0,X3) != X1 )
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X0,X5),'fun_app$u'(X0,X4)) )
| ~ $less(X1,'fun_app$u'(X0,X2)) ),
inference(flattening,[],[f1544]) ).
tff(f1544,plain,
! [X1: $int,X2: 'Nat$',X0: 'Nat_int_fun$',X3: 'Nat$'] :
( ~ $less(X1,'fun_app$u'(X0,X2))
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X0,X5),'fun_app$u'(X0,X4)) )
| ( 'fun_app$u'(X0,X3) != X1 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(ennf_transformation,[],[f960]) ).
tff(f960,plain,
! [X1: $int,X2: 'Nat$',X0: 'Nat_int_fun$',X3: 'Nat$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X0,X5),'fun_app$u'(X0,X4)) )
& ( 'fun_app$u'(X0,X3) = X1 )
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) )
=> ~ $less(X1,'fun_app$u'(X0,X2)) ),
inference(rectify,[],[f701]) ).
tff(f701,plain,
! [X2: 'Nat_int_fun$',X3: $int,X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X2,X5),'fun_app$u'(X2,X4)) )
& ( 'fun_app$u'(X2,X1) = X3 ) )
=> ~ $less(X3,'fun_app$u'(X2,X0)) ),
inference(theory_normalization,[],[f379]) ).
tff(f379,axiom,
! [X2: 'Nat_int_fun$',X3: $int,X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> $lesseq('fun_app$u'(X2,X4),'fun_app$u'(X2,X5)) )
& ( 'fun_app$u'(X2,X1) = X3 ) )
=> $lesseq('fun_app$u'(X2,X0),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom377) ).
tff(f6724,plain,
( spl385_94
| spl385_31
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6695,f4287,f4267,f6721]) ).
tff(f6721,plain,
( spl385_94
<=> ! [X55: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X55),sK370('of_nat$'))
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',X55)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_94])]) ).
tff(f6695,plain,
( ! [X52: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',X52))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X52),sK370('of_nat$')) )
| ~ spl385_35 ),
inference(superposition,[],[f2913,f4288]) ).
tff(f2913,plain,
! [X2: 'Nat$',X3: 'Nat$',X1: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X1,X3),'fun_app$u'(X1,X2))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92(X1)),sK93(X1)) ),
inference(equality_resolution,[],[f2182]) ).
tff(f2182,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: $int,X1: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X1,X3),X0)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92(X1)),sK93(X1))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| ( 'fun_app$u'(X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f1233]) ).
tff(f1233,plain,
! [X1: 'Nat_int_fun$',X2: 'Nat$',X0: $int,X3: 'Nat$'] :
( ( 'fun_app$u'(X1,X2) != X0 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X1,X5),'fun_app$u'(X1,X4)) )
| ~ $less('fun_app$u'(X1,X3),X0) ),
inference(flattening,[],[f1232]) ).
tff(f1232,plain,
! [X2: 'Nat$',X0: $int,X1: 'Nat_int_fun$',X3: 'Nat$'] :
( ~ $less('fun_app$u'(X1,X3),X0)
| ? [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
& $less('fun_app$u'(X1,X5),'fun_app$u'(X1,X4)) )
| ( 'fun_app$u'(X1,X2) != X0 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(ennf_transformation,[],[f760]) ).
tff(f760,plain,
! [X2: 'Nat$',X0: $int,X1: 'Nat_int_fun$',X3: 'Nat$'] :
( ( ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X1,X5),'fun_app$u'(X1,X4)) )
& ( 'fun_app$u'(X1,X2) = X0 )
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) )
=> ~ $less('fun_app$u'(X1,X3),X0) ),
inference(theory_normalization,[],[f370]) ).
tff(f370,axiom,
! [X0: $int,X1: 'Nat_int_fun$',X2: 'Nat$',X3: 'Nat$'] :
( ( ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> $lesseq('fun_app$u'(X1,X4),'fun_app$u'(X1,X5)) )
& 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
& ( 'fun_app$u'(X1,X2) = X0 ) )
=> $lesseq(X0,'fun_app$u'(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom368) ).
tff(f6723,plain,
( spl385_32
| spl385_94
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6698,f4287,f6721,f4272]) ).
tff(f6698,plain,
( ! [X55: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X55),sK370('of_nat$'))
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',X55))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$')) )
| ~ spl385_35 ),
inference(superposition,[],[f2964,f4288]) ).
tff(f6719,plain,
( spl385_92
| spl385_93
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6692,f4287,f6716,f6713]) ).
tff(f6716,plain,
( spl385_93
<=> $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_93])]) ).
tff(f6692,plain,
( ! [X48: 'Nat$',X47: $int] :
( $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| $less('fun_app$u'('of_nat$',X48),X47)
| ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),X47)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X48),sK370('of_nat$')) )
| ~ spl385_35 ),
inference(superposition,[],[f2808,f4288]) ).
tff(f2808,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ~ $less('fun_app$u'(X3,X0),X1)
| $less('fun_app$u'(X3,sK370(X3)),'fun_app$u'(X3,sK369(X3)))
| $less('fun_app$u'(X3,X2),X1)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X0) ),
inference(cnf_transformation,[],[f1572]) ).
tff(f6711,plain,
( spl385_91
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6706,f4287,f6708]) ).
tff(f6706,plain,
( ( sK370('of_nat$') = sK369('of_nat$') )
| ~ spl385_35 ),
inference(forward_demodulation,[],[f6675,f2550]) ).
tff(f6675,plain,
( ( sK370('of_nat$') = 'fun_app$t'('nat$','fun_app$u'('of_nat$',sK369('of_nat$'))) )
| ~ spl385_35 ),
inference(superposition,[],[f2550,f4288]) ).
tff(f6705,plain,
( spl385_31
| spl385_90
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6694,f4287,f6703,f4267]) ).
tff(f6694,plain,
( ! [X51: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X51),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X51)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$')) )
| ~ spl385_35 ),
inference(superposition,[],[f2913,f4288]) ).
tff(f6641,plain,
( spl385_89
| spl385_87
| ~ spl385_77 ),
inference(avatar_split_clause,[],[f6617,f6463,f6629,f6638]) ).
tff(f6638,plain,
( spl385_89
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK24(sK369('of_nat$'),'fun_app$n'('less_eq$f',sK370('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_89])]) ).
tff(f6629,plain,
( spl385_87
<=> ! [X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X4)
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK369('of_nat$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_87])]) ).
tff(f6617,plain,
( ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X5)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK24(sK369('of_nat$'),'fun_app$n'('less_eq$f',sK370('of_nat$'))))
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK369('of_nat$'))) )
| ~ spl385_77 ),
inference(resolution,[],[f6464,f1908]) ).
tff(f1908,plain,
! [X2: 'Nat_bool_fun$',X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'(X2,X0)
| 'fun_app$m'(X2,sK24(X0,X2))
| 'fun_app$m'(X2,X1)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(cnf_transformation,[],[f1681]) ).
tff(f6636,plain,
( spl385_87
| ~ spl385_88
| ~ spl385_77 ),
inference(avatar_split_clause,[],[f6618,f6463,f6633,f6629]) ).
tff(f6618,plain,
( ! [X6: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK369('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X6) )
| ~ spl385_77 ),
inference(resolution,[],[f6464,f2440]) ).
tff(f6631,plain,
( ~ spl385_86
| spl385_87
| ~ spl385_77 ),
inference(avatar_split_clause,[],[f6616,f6463,f6629,f6625]) ).
tff(f6625,plain,
( spl385_86
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK369('of_nat$'),'fun_app$n'('less_eq$f',sK370('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_86])]) ).
tff(f6616,plain,
( ! [X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X4)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK369('of_nat$'),'fun_app$n'('less_eq$f',sK370('of_nat$')))),1)))
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK369('of_nat$'))) )
| ~ spl385_77 ),
inference(resolution,[],[f6464,f1907]) ).
tff(f6611,plain,
( spl385_85
| ~ spl385_55 ),
inference(avatar_split_clause,[],[f6592,f4476,f6608]) ).
tff(f6608,plain,
( spl385_85
<=> ( 'bot$b' = sK369('of_nat$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_85])]) ).
tff(f6592,plain,
( ( 'bot$b' = sK369('of_nat$') )
| ~ spl385_55 ),
inference(resolution,[],[f4477,f2744]) ).
tff(f4477,plain,
( ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X0)
| ~ spl385_55 ),
inference(avatar_component_clause,[],[f4476]) ).
tff(f6606,plain,
( spl385_10
| ~ spl385_55 ),
inference(avatar_contradiction_clause,[],[f6593]) ).
tff(f6593,plain,
( $false
| spl385_10
| ~ spl385_55 ),
inference(resolution,[],[f4477,f3861]) ).
tff(f6541,plain,
( ~ spl385_83
| ~ spl385_35
| spl385_54 ),
inference(avatar_split_clause,[],[f6540,f4472,f4287,f6530]) ).
tff(f6530,plain,
( spl385_83
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_83])]) ).
tff(f6540,plain,
( ~ $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_35
| spl385_54 ),
inference(forward_demodulation,[],[f4473,f4288]) ).
tff(f4473,plain,
( ~ $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1))
| spl385_54 ),
inference(avatar_component_clause,[],[f4472]) ).
tff(f6538,plain,
( spl385_84
| ~ spl385_17
| ~ spl385_35 ),
inference(avatar_split_clause,[],[f6518,f4287,f3936,f6535]) ).
tff(f6535,plain,
( spl385_84
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_84])]) ).
tff(f3936,plain,
( spl385_17
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_17])]) ).
tff(f6518,plain,
( $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_17
| ~ spl385_35 ),
inference(backward_demodulation,[],[f3937,f4288]) ).
tff(f3937,plain,
( $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1))
| ~ spl385_17 ),
inference(avatar_component_clause,[],[f3936]) ).
tff(f6533,plain,
( spl385_83
| ~ spl385_35
| ~ spl385_54 ),
inference(avatar_split_clause,[],[f6525,f4472,f4287,f6530]) ).
tff(f6525,plain,
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_35
| ~ spl385_54 ),
inference(backward_demodulation,[],[f4474,f4288]) ).
tff(f6517,plain,
( spl385_27
| spl385_35
| spl385_18 ),
inference(avatar_split_clause,[],[f4489,f3959,f4287,f4249]) ).
tff(f4489,plain,
( ( 'fun_app$u'('of_nat$',sK369('of_nat$')) = 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$')))
| spl385_18 ),
inference(resolution,[],[f3960,f2645]) ).
tff(f6516,plain,
( spl385_81
| spl385_82
| spl385_77 ),
inference(avatar_split_clause,[],[f6505,f6463,f6513,f6510]) ).
tff(f6510,plain,
( spl385_81
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_81])]) ).
tff(f6513,plain,
( spl385_82
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK370('of_nat$')))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_82])]) ).
tff(f6505,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK370('of_nat$')))),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),X0) )
| spl385_77 ),
inference(resolution,[],[f6465,f2854]) ).
tff(f6465,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))
| spl385_77 ),
inference(avatar_component_clause,[],[f6463]) ).
tff(f6508,plain,
( spl385_10
| spl385_77 ),
inference(avatar_split_clause,[],[f6504,f6463,f3860]) ).
tff(f6504,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| spl385_77 ),
inference(resolution,[],[f6465,f2410]) ).
tff(f6507,plain,
( spl385_10
| spl385_77 ),
inference(avatar_split_clause,[],[f6503,f6463,f3860]) ).
tff(f6503,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| spl385_77 ),
inference(resolution,[],[f6465,f2410]) ).
tff(f6483,plain,
( spl385_80
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6438,f4249,f6480]) ).
tff(f6480,plain,
( spl385_80
<=> $less($sum('fun_app$u'('of_nat$',sK369('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_80])]) ).
tff(f6438,plain,
( $less($sum('fun_app$u'('of_nat$',sK369('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1))
| ~ spl385_27 ),
inference(resolution,[],[f4251,f1818]) ).
tff(f4251,plain,
( $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ spl385_27 ),
inference(avatar_component_clause,[],[f4249]) ).
tff(f6478,plain,
( spl385_18
| spl385_28
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6443,f4249,f4253,f3959]) ).
tff(f6443,plain,
( $less('fun_app$u'('of_nat$',sK94('of_nat$')),'fun_app$u'('of_nat$','fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK94('of_nat$')),1))))
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2196]) ).
tff(f2196,plain,
! [X2: 'Nat_int_fun$',X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'(X2,X1),'fun_app$u'(X2,X0))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
| $less('fun_app$u'(X2,sK94(X2)),'fun_app$u'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK94(X2)),1)))) ),
inference(cnf_transformation,[],[f1683]) ).
tff(f1683,plain,
! [X0: 'Nat$',X1: 'Nat$',X2: 'Nat_int_fun$'] :
( ? [X3: 'Nat$'] : $less('fun_app$u'(X2,X3),'fun_app$u'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
| ~ $less('fun_app$u'(X2,X1),'fun_app$u'(X2,X0)) ),
inference(flattening,[],[f1682]) ).
tff(f1682,plain,
! [X2: 'Nat_int_fun$',X1: 'Nat$',X0: 'Nat$'] :
( ~ $less('fun_app$u'(X2,X1),'fun_app$u'(X2,X0))
| ? [X3: 'Nat$'] : $less('fun_app$u'(X2,X3),'fun_app$u'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) ),
inference(ennf_transformation,[],[f932]) ).
tff(f932,plain,
! [X2: 'Nat_int_fun$',X1: 'Nat$',X0: 'Nat$'] :
( ( ! [X3: 'Nat$'] : ~ $less('fun_app$u'(X2,X3),'fun_app$u'(X2,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))))
& ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) )
=> ~ $less('fun_app$u'(X2,X1),'fun_app$u'(X2,X0)) ),
inference(rectify,[],[f694]) ).
tff(f694,plain,
! [X2: 'Nat$',X1: 'Nat$',X0: 'Nat_int_fun$'] :
( ( ! [X3: 'Nat$'] : ~ $less('fun_app$u'(X0,X3),'fun_app$u'(X0,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))))
& ~ $less('fun_app$u'('of_nat$',X2),'fun_app$u'('of_nat$',X1)) )
=> ~ $less('fun_app$u'(X0,X1),'fun_app$u'(X0,X2)) ),
inference(theory_normalization,[],[f268]) ).
tff(f268,axiom,
! [X2: 'Nat$',X1: 'Nat$',X0: 'Nat_int_fun$'] :
( ( ! [X3: 'Nat$'] : $lesseq('fun_app$u'(X0,'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1))),'fun_app$u'(X0,X3))
& $lesseq('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X2)) )
=> $lesseq('fun_app$u'(X0,X2),'fun_app$u'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom266) ).
tff(f6477,plain,
( spl385_78
| spl385_79
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6437,f4249,f6474,f6470]) ).
tff(f6470,plain,
( spl385_78
<=> ( $sum('fun_app$u'('of_nat$',sK369('of_nat$')),1) = 'fun_app$u'('of_nat$',sK370('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_78])]) ).
tff(f6474,plain,
( spl385_79
<=> $less($sum('fun_app$u'('of_nat$',sK369('of_nat$')),1),'fun_app$u'('of_nat$',sK370('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_79])]) ).
tff(f6437,plain,
( $less($sum('fun_app$u'('of_nat$',sK369('of_nat$')),1),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ( $sum('fun_app$u'('of_nat$',sK369('of_nat$')),1) = 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2069]) ).
tff(f2069,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
| $less($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X1))
| ( $sum('fun_app$u'('of_nat$',X0),1) = 'fun_app$u'('of_nat$',X1) ) ),
inference(cnf_transformation,[],[f877]) ).
tff(f877,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X1))
<=> ( ( $sum('fun_app$u'('of_nat$',X0),1) = 'fun_app$u'('of_nat$',X1) )
| ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) ) ),
inference(rectify,[],[f675]) ).
tff(f675,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less($sum('fun_app$u'('of_nat$',X1),1),'fun_app$u'('of_nat$',X0))
<=> ( ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
| ( 'fun_app$u'('of_nat$',X0) = $sum('fun_app$u'('of_nat$',X1),1) ) ) ),
inference(theory_normalization,[],[f284]) ).
tff(f284,axiom,
! [X1: 'Nat$',X0: 'Nat$'] :
( $lesseq('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
<=> ( $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
| ( 'fun_app$u'('of_nat$',X0) = $sum('fun_app$u'('of_nat$',X1),1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom282) ).
tff(f6468,plain,
( spl385_76
| spl385_18
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6448,f4249,f3959,f6459]) ).
tff(f6459,plain,
( spl385_76
<=> ! [X1: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),sK369('of_nat$')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_76])]) ).
tff(f6448,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),sK369('of_nat$')) )
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2808]) ).
tff(f6467,plain,
( spl385_31
| ~ spl385_77
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6447,f4249,f6463,f4267]) ).
tff(f6447,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2913]) ).
tff(f6466,plain,
( spl385_32
| ~ spl385_77
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6446,f4249,f6463,f4272]) ).
tff(f6446,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK370('of_nat$')),sK369('of_nat$'))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2964]) ).
tff(f6461,plain,
( spl385_76
| spl385_10
| ~ spl385_27 ),
inference(avatar_split_clause,[],[f6449,f4249,f3860,f6459]) ).
tff(f6449,plain,
( ! [X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),sK369('of_nat$')) )
| ~ spl385_27 ),
inference(resolution,[],[f4251,f2809]) ).
tff(f5053,plain,
( ~ spl385_73
| spl385_75 ),
inference(avatar_split_clause,[],[f5037,f5051,f5042]) ).
tff(f5042,plain,
( spl385_73
<=> 'less_eq$'('collect$'('uuk$'),'bot$a') ),
introduced(avatar_definition,[new_symbols(naming,[spl385_73])]) ).
tff(f5051,plain,
( spl385_75
<=> ! [X22: 'A_run_bool_fun$',X23: 'A_run$'] : 'fun_app$'('uue$'('bot$a',X22),X23) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_75])]) ).
tff(f5037,plain,
! [X22: 'A_run_bool_fun$',X23: 'A_run$'] :
( 'fun_app$'('uue$'('bot$a',X22),X23)
| ~ 'less_eq$'('collect$'('uuk$'),'bot$a') ),
inference(superposition,[],[f5008,f3439]) ).
tff(f3439,plain,
! [X1: 'A_run_bool_fun$'] : ( 'bot$a' = 'collect$'('uue$'('bot$a',X1)) ),
inference(resolution,[],[f2746,f2414]) ).
tff(f2414,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_set$'] : 'less_eq$'('collect$'('uue$'(X1,X0)),X1),
inference(cnf_transformation,[],[f824]) ).
tff(f824,plain,
! [X1: 'A_run_set$',X0: 'A_run_bool_fun$'] : 'less_eq$'('collect$'('uue$'(X1,X0)),X1),
inference(rectify,[],[f232]) ).
tff(f232,axiom,
! [X1: 'A_run_bool_fun$',X0: 'A_run_set$'] : 'less_eq$'('collect$'('uue$'(X0,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom230) ).
tff(f2746,plain,
! [X0: 'A_run_set$'] :
( ~ 'less_eq$'(X0,'bot$a')
| ( 'bot$a' = X0 ) ),
inference(cnf_transformation,[],[f1669]) ).
tff(f1669,plain,
! [X0: 'A_run_set$'] :
( ( 'bot$a' = X0 )
| ~ 'less_eq$'(X0,'bot$a') ),
inference(ennf_transformation,[],[f438]) ).
tff(f438,axiom,
! [X0: 'A_run_set$'] :
( 'less_eq$'(X0,'bot$a')
=> ( 'bot$a' = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom436) ).
tff(f5008,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run$'] :
( ~ 'less_eq$'('collect$'('uuk$'),'collect$'(X0))
| 'fun_app$'(X0,X1) ),
inference(resolution,[],[f2825,f2567]) ).
tff(f2825,plain,
! [X2: 'A_run$',X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] :
( ~ 'fun_app$'(X1,X2)
| 'fun_app$'(X0,X2)
| ~ 'less_eq$'('collect$'(X1),'collect$'(X0)) ),
inference(cnf_transformation,[],[f1288]) ).
tff(f1288,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] :
( ! [X2: 'A_run$'] :
( 'fun_app$'(X0,X2)
| ~ 'fun_app$'(X1,X2) )
<=> 'less_eq$'('collect$'(X1),'collect$'(X0)) ),
inference(ennf_transformation,[],[f914]) ).
tff(f914,plain,
! [X0: 'A_run_bool_fun$',X1: 'A_run_bool_fun$'] :
( 'less_eq$'('collect$'(X1),'collect$'(X0))
<=> ! [X2: 'A_run$'] :
( 'fun_app$'(X1,X2)
=> 'fun_app$'(X0,X2) ) ),
inference(rectify,[],[f77]) ).
tff(f77,axiom,
! [X1: 'A_run_bool_fun$',X0: 'A_run_bool_fun$'] :
( ! [X2: 'A_run$'] :
( 'fun_app$'(X0,X2)
=> 'fun_app$'(X1,X2) )
<=> 'less_eq$'('collect$'(X0),'collect$'(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom75) ).
tff(f5049,plain,
( spl385_74
| ~ spl385_73 ),
inference(avatar_split_clause,[],[f5033,f5042,f5047]) ).
tff(f5047,plain,
( spl385_74
<=> ! [X13: 'A_run$',X12: 'A_run_set$'] : 'fun_app$'('uug$'(X12,'bot$a'),X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_74])]) ).
tff(f5033,plain,
! [X12: 'A_run_set$',X13: 'A_run$'] :
( ~ 'less_eq$'('collect$'('uuk$'),'bot$a')
| 'fun_app$'('uug$'(X12,'bot$a'),X13) ),
inference(superposition,[],[f5008,f3266]) ).
tff(f3266,plain,
! [X1: 'A_run_set$'] : ( 'bot$a' = 'collect$'('uug$'(X1,'bot$a')) ),
inference(resolution,[],[f3034,f2052]) ).
tff(f2052,plain,
! [X0: 'A_run_set$'] : 'less_eq$'('bot$a',X0),
inference(cnf_transformation,[],[f442]) ).
tff(f442,axiom,
! [X0: 'A_run_set$'] : 'less_eq$'('bot$a',X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom440) ).
tff(f5045,plain,
( spl385_72
| ~ spl385_73 ),
inference(avatar_split_clause,[],[f5036,f5042,f5039]) ).
tff(f5039,plain,
( spl385_72
<=> ! [X20: 'A_run_set$',X21: 'A_run$'] : 'fun_app$'('uug$'('bot$a',X20),X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_72])]) ).
tff(f5036,plain,
! [X21: 'A_run$',X20: 'A_run_set$'] :
( ~ 'less_eq$'('collect$'('uuk$'),'bot$a')
| 'fun_app$'('uug$'('bot$a',X20),X21) ),
inference(superposition,[],[f5008,f3272]) ).
tff(f3272,plain,
! [X1: 'A_run_set$'] : ( 'bot$a' = 'collect$'('uug$'('bot$a',X1)) ),
inference(resolution,[],[f3047,f2052]) ).
tff(f3047,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ~ 'less_eq$'(X1,X0)
| ( 'collect$'('uug$'(X1,X0)) = X1 ) ),
inference(backward_demodulation,[],[f2530,f2391]) ).
tff(f2530,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = X1 )
| ~ 'less_eq$'(X1,X0) ),
inference(cnf_transformation,[],[f1375]) ).
tff(f1375,plain,
! [X0: 'A_run_set$',X1: 'A_run_set$'] :
( ~ 'less_eq$'(X1,X0)
| ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = X1 ) ),
inference(ennf_transformation,[],[f848]) ).
tff(f848,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( 'less_eq$'(X1,X0)
=> ( 'fun_app$q'('fun_app$r'('inf$',X1),X0) = X1 ) ),
inference(rectify,[],[f190]) ).
tff(f190,axiom,
! [X1: 'A_run_set$',X0: 'A_run_set$'] :
( 'less_eq$'(X0,X1)
=> ( 'fun_app$q'('fun_app$r'('inf$',X0),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom188) ).
tff(f5004,plain,
( ~ spl385_71
| spl385_21 ),
inference(avatar_split_clause,[],[f4999,f4024,f5001]) ).
tff(f4999,plain,
( ~ 'less_eq$'('fun_app$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$'),'phi_1$')))))
| spl385_21 ),
inference(resolution,[],[f4026,f3030]) ).
tff(f3030,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] :
( 'less_eq$'('collect$'('uug$'(X1,X2)),X0)
| ~ 'less_eq$'(X2,X0) ),
inference(backward_demodulation,[],[f2132,f2391]) ).
tff(f2132,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] :
( ~ 'less_eq$'(X2,X0)
| 'less_eq$'('fun_app$q'('fun_app$r'('inf$',X1),X2),X0) ),
inference(cnf_transformation,[],[f1451]) ).
tff(f1451,plain,
! [X2: 'A_run_set$',X1: 'A_run_set$',X0: 'A_run_set$'] :
( 'less_eq$'('fun_app$q'('fun_app$r'('inf$',X1),X2),X0)
| ~ 'less_eq$'(X2,X0) ),
inference(ennf_transformation,[],[f815]) ).
tff(f815,plain,
! [X1: 'A_run_set$',X0: 'A_run_set$',X2: 'A_run_set$'] :
( 'less_eq$'(X2,X0)
=> 'less_eq$'('fun_app$q'('fun_app$r'('inf$',X1),X2),X0) ),
inference(rectify,[],[f161]) ).
tff(f161,axiom,
! [X1: 'A_run_set$',X2: 'A_run_set$',X0: 'A_run_set$'] :
( 'less_eq$'(X0,X1)
=> 'less_eq$'('fun_app$q'('fun_app$r'('inf$',X2),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom159) ).
tff(f4748,plain,
( spl385_69
| spl385_70
| spl385_64 ),
inference(avatar_split_clause,[],[f4739,f4679,f4745,f4742]) ).
tff(f4742,plain,
( spl385_69
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_69])]) ).
tff(f4745,plain,
( spl385_70
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK52('of_nat$')))),$sum('fun_app$u'('of_nat$',sK53('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_70])]) ).
tff(f4739,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK52('of_nat$')))),$sum('fun_app$u'('of_nat$',sK53('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X0) )
| spl385_64 ),
inference(resolution,[],[f4680,f2854]) ).
tff(f4719,plain,
( ~ spl385_68
| spl385_66
| ~ spl385_64 ),
inference(avatar_split_clause,[],[f4696,f4679,f4707,f4716]) ).
tff(f4716,plain,
( spl385_68
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))),$sum('fun_app$u'('of_nat$',sK53('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_68])]) ).
tff(f4707,plain,
( spl385_66
<=> ! [X5: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK53('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_66])]) ).
tff(f4696,plain,
( ! [X6: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK53('of_nat$')))
| ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))),$sum('fun_app$u'('of_nat$',sK53('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X6) )
| ~ spl385_64 ),
inference(resolution,[],[f4681,f2440]) ).
tff(f4681,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))
| ~ spl385_64 ),
inference(avatar_component_clause,[],[f4679]) ).
tff(f4714,plain,
( ~ spl385_67
| spl385_66
| ~ spl385_64 ),
inference(avatar_split_clause,[],[f4694,f4679,f4707,f4711]) ).
tff(f4711,plain,
( spl385_67
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK53('of_nat$'),'fun_app$n'('less_eq$f',sK52('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_67])]) ).
tff(f4694,plain,
( ! [X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X4)
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK53('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK53('of_nat$'),'fun_app$n'('less_eq$f',sK52('of_nat$')))),1))) )
| ~ spl385_64 ),
inference(resolution,[],[f4681,f1907]) ).
tff(f4709,plain,
( spl385_65
| spl385_66
| ~ spl385_64 ),
inference(avatar_split_clause,[],[f4695,f4679,f4707,f4703]) ).
tff(f4695,plain,
( ! [X5: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK53('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK24(sK53('of_nat$'),'fun_app$n'('less_eq$f',sK52('of_nat$'))))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),X5) )
| ~ spl385_64 ),
inference(resolution,[],[f4681,f1908]) ).
tff(f4683,plain,
( spl385_64
| spl385_29 ),
inference(avatar_split_clause,[],[f4657,f4259,f4679]) ).
tff(f4657,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))
| spl385_29 ),
inference(resolution,[],[f2410,f4260]) ).
tff(f4260,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$'))
| spl385_29 ),
inference(avatar_component_clause,[],[f4259]) ).
tff(f4682,plain,
( spl385_64
| spl385_29 ),
inference(avatar_split_clause,[],[f4627,f4259,f4679]) ).
tff(f4627,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK52('of_nat$')),sK53('of_nat$'))
| spl385_29 ),
inference(resolution,[],[f2410,f4260]) ).
tff(f4616,plain,
( spl385_62
| spl385_63
| spl385_32 ),
inference(avatar_split_clause,[],[f4607,f4272,f4613,f4610]) ).
tff(f4610,plain,
( spl385_62
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_62])]) ).
tff(f4613,plain,
( spl385_63
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK263('of_nat$')))),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_63])]) ).
tff(f4607,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK263('of_nat$')))),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X0) )
| spl385_32 ),
inference(resolution,[],[f4273,f2854]) ).
tff(f4273,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))
| spl385_32 ),
inference(avatar_component_clause,[],[f4272]) ).
tff(f4541,plain,
( ~ spl385_61
| spl385_58
| ~ spl385_32 ),
inference(avatar_split_clause,[],[f4518,f4272,f4525,f4538]) ).
tff(f4525,plain,
( spl385_58
<=> ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X5)
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK264('of_nat$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_58])]) ).
tff(f4518,plain,
( ! [X6: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK264('of_nat$')))
| ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))),$sum('fun_app$u'('of_nat$',sK264('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X6) )
| ~ spl385_32 ),
inference(resolution,[],[f4274,f2440]) ).
tff(f4536,plain,
( spl385_58
| ~ spl385_60
| ~ spl385_32 ),
inference(avatar_split_clause,[],[f4516,f4272,f4533,f4525]) ).
tff(f4533,plain,
( spl385_60
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK264('of_nat$'),'fun_app$n'('less_eq$f',sK263('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_60])]) ).
tff(f4516,plain,
( ! [X4: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK264('of_nat$'),'fun_app$n'('less_eq$f',sK263('of_nat$')))),1)))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X4)
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK264('of_nat$'))) )
| ~ spl385_32 ),
inference(resolution,[],[f4274,f1907]) ).
tff(f4531,plain,
( spl385_58
| spl385_59
| ~ spl385_32 ),
inference(avatar_split_clause,[],[f4517,f4272,f4528,f4525]) ).
tff(f4517,plain,
( ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK24(sK264('of_nat$'),'fun_app$n'('less_eq$f',sK263('of_nat$'))))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),X5)
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK264('of_nat$'))) )
| ~ spl385_32 ),
inference(resolution,[],[f4274,f1908]) ).
tff(f4488,plain,
( spl385_56
| spl385_57
| spl385_31 ),
inference(avatar_split_clause,[],[f4479,f4267,f4486,f4482]) ).
tff(f4482,plain,
( spl385_56
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK92('of_nat$')))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_56])]) ).
tff(f4486,plain,
( spl385_57
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_57])]) ).
tff(f4479,plain,
( ! [X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X0)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK92('of_nat$')))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1)) )
| spl385_31 ),
inference(resolution,[],[f4268,f2854]) ).
tff(f4268,plain,
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))
| spl385_31 ),
inference(avatar_component_clause,[],[f4267]) ).
tff(f4478,plain,
( spl385_54
| spl385_55
| spl385_10 ),
inference(avatar_split_clause,[],[f4469,f3860,f4476,f4472]) ).
tff(f4469,plain,
( ! [X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X0)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK369('of_nat$')))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) )
| spl385_10 ),
inference(resolution,[],[f3861,f2854]) ).
tff(f4468,plain,
( ~ spl385_53
| spl385_51
| ~ spl385_31 ),
inference(avatar_split_clause,[],[f4443,f4267,f4456,f4465]) ).
tff(f4465,plain,
( spl385_53
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK93('of_nat$'),'fun_app$n'('less_eq$f',sK92('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_53])]) ).
tff(f4456,plain,
( spl385_51
<=> ! [X5: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK93('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_51])]) ).
tff(f4443,plain,
( ! [X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X4)
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK93('of_nat$'),'fun_app$n'('less_eq$f',sK92('of_nat$')))),1)))
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK93('of_nat$'))) )
| ~ spl385_31 ),
inference(resolution,[],[f4269,f1907]) ).
tff(f4463,plain,
( spl385_51
| ~ spl385_52
| ~ spl385_31 ),
inference(avatar_split_clause,[],[f4445,f4267,f4460,f4456]) ).
tff(f4445,plain,
( ! [X6: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))),$sum('fun_app$u'('of_nat$',sK93('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X6)
| $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK93('of_nat$'))) )
| ~ spl385_31 ),
inference(resolution,[],[f4269,f2440]) ).
tff(f4458,plain,
( spl385_50
| spl385_51
| ~ spl385_31 ),
inference(avatar_split_clause,[],[f4444,f4267,f4456,f4452]) ).
tff(f4452,plain,
( spl385_50
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK24(sK93('of_nat$'),'fun_app$n'('less_eq$f',sK92('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_50])]) ).
tff(f4444,plain,
( ! [X5: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK93('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK24(sK93('of_nat$'),'fun_app$n'('less_eq$f',sK92('of_nat$'))))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),X5) )
| ~ spl385_31 ),
inference(resolution,[],[f4269,f1908]) ).
tff(f4382,plain,
( spl385_48
| spl385_49
| spl385_29 ),
inference(avatar_split_clause,[],[f4373,f4259,f4379,f4376]) ).
tff(f4376,plain,
( spl385_48
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_48])]) ).
tff(f4379,plain,
( spl385_49
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK53('of_nat$')))),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_49])]) ).
tff(f4373,plain,
( ! [X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK53('of_nat$')))),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X0) )
| spl385_29 ),
inference(resolution,[],[f4260,f2854]) ).
tff(f4372,plain,
( spl385_47
| spl385_45
| ~ spl385_29 ),
inference(avatar_split_clause,[],[f4348,f4259,f4360,f4369]) ).
tff(f4360,plain,
( spl385_45
<=> ! [X6: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK52('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_45])]) ).
tff(f4348,plain,
( ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X5)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK24(sK52('of_nat$'),'fun_app$n'('less_eq$f',sK53('of_nat$'))))
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK52('of_nat$'))) )
| ~ spl385_29 ),
inference(resolution,[],[f4261,f1908]) ).
tff(f4367,plain,
( spl385_45
| ~ spl385_46
| ~ spl385_29 ),
inference(avatar_split_clause,[],[f4347,f4259,f4364,f4360]) ).
tff(f4364,plain,
( spl385_46
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK52('of_nat$'),'fun_app$n'('less_eq$f',sK53('of_nat$')))),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_46])]) ).
tff(f4347,plain,
( ! [X4: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK52('of_nat$'),'fun_app$n'('less_eq$f',sK53('of_nat$')))),1)))
| $less('fun_app$u'('of_nat$',X4),'fun_app$u'('of_nat$',sK52('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X4) )
| ~ spl385_29 ),
inference(resolution,[],[f4261,f1907]) ).
tff(f4362,plain,
( ~ spl385_44
| spl385_45
| ~ spl385_29 ),
inference(avatar_split_clause,[],[f4349,f4259,f4360,f4356]) ).
tff(f4356,plain,
( spl385_44
<=> $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$'))),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_44])]) ).
tff(f4349,plain,
( ! [X6: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X6),'fun_app$u'('of_nat$',sK52('of_nat$')))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),X6)
| ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$'))),$sum('fun_app$u'('of_nat$',sK52('of_nat$')),1)) )
| ~ spl385_29 ),
inference(resolution,[],[f4261,f2440]) ).
tff(f4329,plain,
( spl385_43
| spl385_10
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4242,f3959,f3860,f4327]) ).
tff(f4327,plain,
( spl385_43
<=> ! [X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK369('of_nat$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_43])]) ).
tff(f4242,plain,
( ! [X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X1),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',sK369('of_nat$'))) )
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2809]) ).
tff(f4325,plain,
( spl385_42
| ~ spl385_17
| ~ spl385_37 ),
inference(avatar_split_clause,[],[f4320,f4296,f3936,f4322]) ).
tff(f4320,plain,
( $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_17
| ~ spl385_37 ),
inference(backward_demodulation,[],[f3937,f4298]) ).
tff(f4319,plain,
( spl385_41
| spl385_30
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4243,f3959,f4263,f4316]) ).
tff(f4316,plain,
( spl385_41
<=> $less('fun_app$u'('of_nat$',sK52('of_nat$')),'fun_app$u'('of_nat$',sK53('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_41])]) ).
tff(f4263,plain,
( spl385_30
<=> ! [X3: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X3)
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_30])]) ).
tff(f4243,plain,
( ! [X2: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X2)
| $less('fun_app$u'('of_nat$',sK52('of_nat$')),'fun_app$u'('of_nat$',sK53('of_nat$')))
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',X2)) )
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2060]) ).
tff(f2060,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ~ $less(X1,'fun_app$u'(X3,X0))
| $less('fun_app$u'(X3,sK52(X3)),'fun_app$u'(X3,sK53(X3)))
| $less(X1,'fun_app$u'(X3,X2))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2) ),
inference(cnf_transformation,[],[f1650]) ).
tff(f1650,plain,
! [X3: 'Nat_int_fun$',X2: 'Nat$',X0: 'Nat$',X1: $int] :
( ? [X5: 'Nat$',X4: 'Nat$'] :
( $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) )
| ~ $less(X1,'fun_app$u'(X3,X0))
| $less(X1,'fun_app$u'(X3,X2))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2) ),
inference(flattening,[],[f1649]) ).
tff(f1649,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ~ $less(X1,'fun_app$u'(X3,X0))
| $less(X1,'fun_app$u'(X3,X2))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2)
| ? [X5: 'Nat$',X4: 'Nat$'] :
( $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4))
& 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5) ) ),
inference(ennf_transformation,[],[f1066]) ).
tff(f1066,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ( ~ $less(X1,'fun_app$u'(X3,X2))
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2)
& ! [X5: 'Nat$',X4: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X3,X5),'fun_app$u'(X3,X4)) ) )
=> ~ $less(X1,'fun_app$u'(X3,X0)) ),
inference(rectify,[],[f731]) ).
tff(f731,plain,
! [X0: 'Nat$',X3: $int,X1: 'Nat$',X2: 'Nat_int_fun$'] :
( ( ~ $less(X3,'fun_app$u'(X2,X1))
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> ~ $less('fun_app$u'(X2,X5),'fun_app$u'(X2,X4)) ) )
=> ~ $less(X3,'fun_app$u'(X2,X0)) ),
inference(theory_normalization,[],[f356]) ).
tff(f356,axiom,
! [X0: 'Nat$',X3: $int,X1: 'Nat$',X2: 'Nat_int_fun$'] :
( ( $lesseq('fun_app$u'(X2,X1),X3)
& 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
& ! [X4: 'Nat$',X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X4),X5)
=> $lesseq('fun_app$u'(X2,X4),'fun_app$u'(X2,X5)) ) )
=> $lesseq('fun_app$u'(X2,X0),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom354) ).
tff(f4314,plain,
( ~ spl385_10
| spl385_40
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4237,f3959,f4311,f3860]) ).
tff(f4237,plain,
( $less('fun_app$u'('of_nat$',sK264('of_nat$')),'fun_app$u'('of_nat$',sK263('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2965]) ).
tff(f2965,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X0,X3),'fun_app$u'(X0,X2))
| $less('fun_app$u'(X0,sK264(X0)),'fun_app$u'(X0,sK263(X0)))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(equality_resolution,[],[f2573]) ).
tff(f2573,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: 'Nat_int_fun$',X1: $int] :
( ~ $less(X1,'fun_app$u'(X0,X2))
| $less('fun_app$u'(X0,sK264(X0)),'fun_app$u'(X0,sK263(X0)))
| ( 'fun_app$u'(X0,X3) != X1 )
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(cnf_transformation,[],[f1545]) ).
tff(f4309,plain,
( ~ spl385_10
| spl385_39
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4238,f3959,f4306,f3860]) ).
tff(f4238,plain,
( $less('fun_app$u'('of_nat$',sK93('of_nat$')),'fun_app$u'('of_nat$',sK92('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2914]) ).
tff(f2914,plain,
! [X2: 'Nat$',X3: 'Nat$',X1: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X1,X3),'fun_app$u'(X1,X2))
| $less('fun_app$u'(X1,sK93(X1)),'fun_app$u'(X1,sK92(X1)))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ),
inference(equality_resolution,[],[f2181]) ).
tff(f2181,plain,
! [X2: 'Nat$',X3: 'Nat$',X0: $int,X1: 'Nat_int_fun$'] :
( ~ $less('fun_app$u'(X1,X3),X0)
| $less('fun_app$u'(X1,sK93(X1)),'fun_app$u'(X1,sK92(X1)))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| ( 'fun_app$u'(X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f1233]) ).
tff(f4304,plain,
( ~ spl385_38
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4232,f3959,f4301]) ).
tff(f4301,plain,
( spl385_38
<=> $less('fun_app$u'('of_nat$',sK369('of_nat$')),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_38])]) ).
tff(f4232,plain,
( ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2273]) ).
tff(f4299,plain,
( spl385_36
| spl385_37
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4230,f3959,f4296,f4292]) ).
tff(f4292,plain,
( spl385_36
<=> $less($sum('fun_app$u'('of_nat$',sK370('of_nat$')),1),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_36])]) ).
tff(f4230,plain,
( ( $sum('fun_app$u'('of_nat$',sK370('of_nat$')),1) = 'fun_app$u'('of_nat$',sK369('of_nat$')) )
| $less($sum('fun_app$u'('of_nat$',sK370('of_nat$')),1),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2069]) ).
tff(f4290,plain,
( ~ spl385_35
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4234,f3959,f4287]) ).
tff(f4234,plain,
( ( 'fun_app$u'('of_nat$',sK369('of_nat$')) != 'fun_app$u'('of_nat$',sK370('of_nat$')) )
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2190]) ).
tff(f2190,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
| ( 'fun_app$u'('of_nat$',X0) != 'fun_app$u'('of_nat$',X1) ) ),
inference(cnf_transformation,[],[f1380]) ).
tff(f1380,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X0) != 'fun_app$u'('of_nat$',X1) )
| ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(ennf_transformation,[],[f759]) ).
tff(f759,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X0) = 'fun_app$u'('of_nat$',X1) )
=> ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(theory_normalization,[],[f276]) ).
tff(f276,axiom,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X0) = 'fun_app$u'('of_nat$',X1) )
=> $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom274) ).
tff(f4285,plain,
( spl385_34
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4231,f3959,f4282]) ).
tff(f4282,plain,
( spl385_34
<=> $less($sum('fun_app$u'('of_nat$',sK370('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_34])]) ).
tff(f4231,plain,
( $less($sum('fun_app$u'('of_nat$',sK370('of_nat$')),1),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f1818]) ).
tff(f4280,plain,
( spl385_33
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4233,f3959,f4277]) ).
tff(f4233,plain,
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),$sum('fun_app$u'('of_nat$',sK369('of_nat$')),1))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f1828]) ).
tff(f1828,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
| $less('fun_app$u'('of_nat$',X1),$sum('fun_app$u'('of_nat$',X0),1)) ),
inference(cnf_transformation,[],[f1595]) ).
tff(f1595,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X1),$sum('fun_app$u'('of_nat$',X0),1))
| ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(ennf_transformation,[],[f772]) ).
tff(f772,plain,
! [X1: 'Nat$',X0: 'Nat$'] :
( ~ $less('fun_app$u'('of_nat$',X1),$sum('fun_app$u'('of_nat$',X0),1))
=> ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(theory_normalization,[],[f288]) ).
tff(f288,axiom,
! [X0: 'Nat$',X1: 'Nat$'] :
( $lesseq($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X1))
=> $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom286) ).
tff(f4275,plain,
( ~ spl385_10
| spl385_32
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4239,f3959,f4272,f3860]) ).
tff(f4239,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK263('of_nat$')),sK264('of_nat$'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2964]) ).
tff(f4270,plain,
( ~ spl385_10
| spl385_31
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4240,f3959,f4267,f3860]) ).
tff(f4240,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK92('of_nat$')),sK93('of_nat$'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2913]) ).
tff(f4265,plain,
( spl385_29
| spl385_30
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4244,f3959,f4263,f4259]) ).
tff(f4244,plain,
( ! [X3: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X3)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53('of_nat$')),sK52('of_nat$'))
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',X3)) )
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2059]) ).
tff(f2059,plain,
! [X2: 'Nat$',X3: 'Nat_int_fun$',X0: 'Nat$',X1: $int] :
( ~ $less(X1,'fun_app$u'(X3,X0))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK53(X3)),sK52(X3))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X2)
| $less(X1,'fun_app$u'(X3,X2)) ),
inference(cnf_transformation,[],[f1650]) ).
tff(f4257,plain,
( ~ spl385_27
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4247,f3959,f4249]) ).
tff(f4247,plain,
( ~ $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2642]) ).
tff(f2642,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f774]) ).
tff(f774,plain,
! [X1: $int,X0: $int] :
( $less(X1,X0)
<=> ( ( X0 != X1 )
& ~ $less(X0,X1) ) ),
inference(theory_normalization,[],[f304]) ).
tff(f304,axiom,
! [X0: $int,X1: $int] :
( ( ( X0 != X1 )
& $lesseq(X1,X0) )
<=> ~ $lesseq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom302) ).
tff(f4256,plain,
( spl385_27
| spl385_28
| ~ spl385_18 ),
inference(avatar_split_clause,[],[f4236,f3959,f4253,f4249]) ).
tff(f4236,plain,
( $less('fun_app$u'('of_nat$',sK94('of_nat$')),'fun_app$u'('of_nat$','fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK94('of_nat$')),1))))
| $less('fun_app$u'('of_nat$',sK369('of_nat$')),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ spl385_18 ),
inference(resolution,[],[f3961,f2196]) ).
tff(f4075,plain,
( spl385_25
| spl385_26
| spl385_24 ),
inference(avatar_split_clause,[],[f4066,f4045,f4073,f4069]) ).
tff(f4069,plain,
( spl385_25
<=> $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK136('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK138('less_eq$f')),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_25])]) ).
tff(f4073,plain,
( spl385_26
<=> ! [X0: 'Nat$'] : 'fun_app$m'('fun_app$n'('less_eq$f',sK136('less_eq$f')),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_26])]) ).
tff(f4066,plain,
( ! [X0: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK136('less_eq$f')),X0)
| $less('fun_app$u'('of_nat$',sK378('fun_app$n'('less_eq$f',sK136('less_eq$f')))),$sum('fun_app$u'('of_nat$',sK138('less_eq$f')),1)) )
| spl385_24 ),
inference(resolution,[],[f4046,f2854]) ).
tff(f4048,plain,
( spl385_22
| ~ spl385_23
| spl385_24 ),
inference(avatar_split_clause,[],[f4033,f4045,f4041,f4038]) ).
tff(f4038,plain,
( spl385_22
<=> ! [X0: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_22])]) ).
tff(f4033,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK136('less_eq$f')),sK138('less_eq$f'))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK135('less_eq$f')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK135('less_eq$f')),1)))
| 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(resolution,[],[f2321,f2898]) ).
tff(f2321,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_nat_bool_fun_fun$'] :
( ~ 'fun_app$m'('fun_app$n'(X1,sK134(X1)),sK134(X1))
| 'fun_app$m'('fun_app$n'(X1,sK136(X1)),sK138(X1))
| 'fun_app$m'('fun_app$n'(X1,X2),X0)
| ~ 'fun_app$m'('fun_app$n'(X1,sK135(X1)),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK135(X1)),1)))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2)) ),
inference(cnf_transformation,[],[f1224]) ).
tff(f1224,plain,
! [X0: 'Nat$',X2: 'Nat$',X1: 'Nat_nat_bool_fun_fun$'] :
( $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2))
| ? [X6: 'Nat$',X5: 'Nat$',X4: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X1,X5),X4)
& 'fun_app$m'('fun_app$n'(X1,X5),X6)
& 'fun_app$m'('fun_app$n'(X1,X6),X4) )
| 'fun_app$m'('fun_app$n'(X1,X2),X0)
| ? [X3: 'Nat$'] : ~ 'fun_app$m'('fun_app$n'(X1,X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
| ? [X7: 'Nat$'] : ~ 'fun_app$m'('fun_app$n'(X1,X7),X7) ),
inference(flattening,[],[f1223]) ).
tff(f1223,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_nat_bool_fun_fun$'] :
( 'fun_app$m'('fun_app$n'(X1,X2),X0)
| ? [X3: 'Nat$'] : ~ 'fun_app$m'('fun_app$n'(X1,X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
| $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2))
| ? [X5: 'Nat$',X6: 'Nat$',X4: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'(X1,X5),X4)
& 'fun_app$m'('fun_app$n'(X1,X6),X4)
& 'fun_app$m'('fun_app$n'(X1,X5),X6) )
| ? [X7: 'Nat$'] : ~ 'fun_app$m'('fun_app$n'(X1,X7),X7) ),
inference(ennf_transformation,[],[f1205]) ).
tff(f1205,plain,
! [X2: 'Nat$',X0: 'Nat$',X1: 'Nat_nat_bool_fun_fun$'] :
( ( ! [X3: 'Nat$'] : 'fun_app$m'('fun_app$n'(X1,X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
& ~ $less('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X2))
& ! [X5: 'Nat$',X6: 'Nat$',X4: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'(X1,X6),X4)
& 'fun_app$m'('fun_app$n'(X1,X5),X6) )
=> 'fun_app$m'('fun_app$n'(X1,X5),X4) )
& ! [X7: 'Nat$'] : 'fun_app$m'('fun_app$n'(X1,X7),X7) )
=> 'fun_app$m'('fun_app$n'(X1,X2),X0) ),
inference(rectify,[],[f779]) ).
tff(f779,plain,
! [X1: 'Nat$',X2: 'Nat_nat_bool_fun_fun$',X0: 'Nat$'] :
( ( ! [X3: 'Nat$'] : 'fun_app$m'('fun_app$n'(X2,X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
& ! [X5: 'Nat$',X3: 'Nat$',X4: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'(X2,X4),X5)
& 'fun_app$m'('fun_app$n'(X2,X3),X4) )
=> 'fun_app$m'('fun_app$n'(X2,X3),X5) )
& ~ $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0))
& ! [X3: 'Nat$'] : 'fun_app$m'('fun_app$n'(X2,X3),X3) )
=> 'fun_app$m'('fun_app$n'(X2,X0),X1) ),
inference(theory_normalization,[],[f279]) ).
tff(f279,axiom,
! [X1: 'Nat$',X2: 'Nat_nat_bool_fun_fun$',X0: 'Nat$'] :
( ( ! [X3: 'Nat$'] : 'fun_app$m'('fun_app$n'(X2,X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X3),1)))
& ! [X5: 'Nat$',X3: 'Nat$',X4: 'Nat$'] :
( ( 'fun_app$m'('fun_app$n'(X2,X4),X5)
& 'fun_app$m'('fun_app$n'(X2,X3),X4) )
=> 'fun_app$m'('fun_app$n'(X2,X3),X5) )
& $lesseq('fun_app$u'('of_nat$',X0),'fun_app$u'('of_nat$',X1))
& ! [X3: 'Nat$'] : 'fun_app$m'('fun_app$n'(X2,X3),X3) )
=> 'fun_app$m'('fun_app$n'(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom277) ).
tff(f4027,plain,
( ~ spl385_21
| spl385_9 ),
inference(avatar_split_clause,[],[f4015,f3261,f4024]) ).
tff(f3261,plain,
( spl385_9
<=> 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$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('fun_app$u'('of_nat$','n_1$'),1)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_9])]) ).
tff(f4015,plain,
( ~ 'less_eq$'('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('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$')))))
| spl385_9 ),
inference(backward_demodulation,[],[f3263,f4009]) ).
tff(f4009,plain,
! [X6: 'Nat$',X7: 'A_TESL_atomic_list$',X4: 'A_constr_list$',X5: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X4),'fun_app$k'('fun_app$l'('pair$b',X6),'fun_app$g'('fun_app$h'('pair$a',X5),X7)))) = 'collect$'('uug$'('symbolic_run_interpretation$'(X4),'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'(X5),X6),'fun_app$s'('tESL_interpretation_stepwise$'(X7),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X6),1))))))) ),
inference(superposition,[],[f3226,f3078]) ).
tff(f3263,plain,
( ~ 'less_eq$'('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('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$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1))))))))
| spl385_9 ),
inference(avatar_component_clause,[],[f3261]) ).
tff(f4022,plain,
( ~ spl385_20
| spl385_7 ),
inference(avatar_split_clause,[],[f4017,f3159,f4019]) ).
tff(f3159,plain,
( spl385_7
<=> '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$t'('nat$',$sum('fun_app$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('fun_app$u'('of_nat$','n_1$'),1)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_7])]) ).
tff(f4017,plain,
( ~ 'less_eq$'('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_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))))
| spl385_7 ),
inference(forward_demodulation,[],[f4016,f4009]) ).
tff(f4016,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$t'('nat$',$sum('fun_app$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$'),'phi_1$')))))
| spl385_7 ),
inference(backward_demodulation,[],[f3161,f4009]) ).
tff(f3161,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$t'('nat$',$sum('fun_app$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('fun_app$u'('of_nat$','n_1$'),1))))))))
| spl385_7 ),
inference(avatar_component_clause,[],[f3159]) ).
tff(f3998,plain,
( spl385_19
| ~ spl385_4 ),
inference(avatar_split_clause,[],[f3993,f3088,f3995]) ).
tff(f3995,plain,
( spl385_19
<=> 'fun_app$v'('operational_semantics_elim_inv$'('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_19])]) ).
tff(f3088,plain,
( spl385_4
<=> 'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_4])]) ).
tff(f3993,plain,
( 'fun_app$v'('operational_semantics_elim_inv$'('fun_app$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$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))))
| ~ spl385_4 ),
inference(resolution,[],[f2310,f3090]) ).
tff(f3090,plain,
( 'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
| ~ spl385_4 ),
inference(avatar_component_clause,[],[f3088]) ).
tff(f2310,plain,
! [X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( ~ 'fun_app$v'('operational_semantics_elim$'(X1),X0)
| 'fun_app$v'('operational_semantics_elim_inv$'(X0),X1) ),
inference(cnf_transformation,[],[f295]) ).
tff(f295,axiom,
! [X1: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$',X0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] :
( 'fun_app$v'('operational_semantics_elim$'(X1),X0)
<=> 'fun_app$v'('operational_semantics_elim_inv$'(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom293) ).
tff(f3964,plain,
( spl385_12
| spl385_18 ),
inference(avatar_split_clause,[],[f3955,f3959,f3868]) ).
tff(f3955,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(resolution,[],[f2808,f2436]) ).
tff(f2436,plain,
! [X0: 'Nat$'] : $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X0),1)),
inference(cnf_transformation,[],[f708]) ).
tff(f708,plain,
! [X0: 'Nat$'] : $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X0),1)),
inference(theory_normalization,[],[f283]) ).
tff(f283,axiom,
! [X0: 'Nat$'] : ~ $lesseq($sum('fun_app$u'('of_nat$',X0),1),'fun_app$u'('of_nat$',X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom281) ).
tff(f3963,plain,
( spl385_18
| spl385_11 ),
inference(avatar_split_clause,[],[f3956,f3864,f3959]) ).
tff(f3864,plain,
( spl385_11
<=> ! [X4: 'Nat$',X2: 'Nat$',X3: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X3) = $sum('fun_app$u'('of_nat$',sK131(X3)),1) )
| $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X4),1))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_11])]) ).
tff(f3956,plain,
! [X2: 'Nat$',X3: 'Nat$',X4: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X3) = $sum('fun_app$u'('of_nat$',sK131(X3)),1) )
| $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X4),1))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$'))) ),
inference(resolution,[],[f2808,f2313]) ).
tff(f3962,plain,
( spl385_18
| spl385_13 ),
inference(avatar_split_clause,[],[f3957,f3872,f3959]) ).
tff(f3872,plain,
( spl385_13
<=> ! [X6: 'Nat$',X5: 'Nat$',X7: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X5),X6)
| $less('fun_app$u'('of_nat$',X7),'fun_app$u'('of_nat$',X6))
| $less('fun_app$u'('of_nat$',X5),$sum('fun_app$u'('of_nat$',X7),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_13])]) ).
tff(f3957,plain,
! [X6: 'Nat$',X7: 'Nat$',X5: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X5),X6)
| $less('fun_app$u'('of_nat$',X7),'fun_app$u'('of_nat$',X6))
| $less('fun_app$u'('of_nat$',sK370('of_nat$')),'fun_app$u'('of_nat$',sK369('of_nat$')))
| $less('fun_app$u'('of_nat$',X5),$sum('fun_app$u'('of_nat$',X7),1)) ),
inference(resolution,[],[f2808,f2274]) ).
tff(f2274,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1))
| $less('fun_app$u'('of_nat$',X1),'fun_app$u'('of_nat$',X0)) ),
inference(cnf_transformation,[],[f729]) ).
tff(f3939,plain,
( ~ spl385_17
| spl385_14
| ~ spl385_10 ),
inference(avatar_split_clause,[],[f3934,f3860,f3884,f3936]) ).
tff(f3884,plain,
( spl385_14
<=> ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X5)
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK370('of_nat$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_14])]) ).
tff(f3934,plain,
( ! [X18: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X18)
| $less('fun_app$u'('of_nat$',X18),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ $less('fun_app$u'('of_nat$',sK205('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))),$sum('fun_app$u'('of_nat$',sK370('of_nat$')),1)) )
| ~ spl385_10 ),
inference(resolution,[],[f2440,f3862]) ).
tff(f3862,plain,
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| ~ spl385_10 ),
inference(avatar_component_clause,[],[f3860]) ).
tff(f3912,plain,
( ~ spl385_16
| spl385_14
| ~ spl385_10 ),
inference(avatar_split_clause,[],[f3907,f3860,f3884,f3909]) ).
tff(f3907,plain,
( ! [X18: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X18)
| $less('fun_app$u'('of_nat$',X18),'fun_app$u'('of_nat$',sK370('of_nat$')))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',sK24(sK370('of_nat$'),'fun_app$n'('less_eq$f',sK369('of_nat$')))),1))) )
| ~ spl385_10 ),
inference(resolution,[],[f1907,f3862]) ).
tff(f3890,plain,
( spl385_14
| spl385_15
| ~ spl385_10 ),
inference(avatar_split_clause,[],[f3879,f3860,f3887,f3884]) ).
tff(f3887,plain,
( spl385_15
<=> 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK24(sK370('of_nat$'),'fun_app$n'('less_eq$f',sK369('of_nat$')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_15])]) ).
tff(f3879,plain,
( ! [X5: 'Nat$'] :
( 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK24(sK370('of_nat$'),'fun_app$n'('less_eq$f',sK369('of_nat$'))))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),X5)
| $less('fun_app$u'('of_nat$',X5),'fun_app$u'('of_nat$',sK370('of_nat$'))) )
| ~ spl385_10 ),
inference(resolution,[],[f3862,f1908]) ).
tff(f3874,plain,
( spl385_10
| spl385_13 ),
inference(avatar_split_clause,[],[f3858,f3872,f3860]) ).
tff(f3858,plain,
! [X6: 'Nat$',X7: 'Nat$',X5: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X5),X6)
| $less('fun_app$u'('of_nat$',X5),$sum('fun_app$u'('of_nat$',X7),1))
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X7),'fun_app$u'('of_nat$',X6)) ),
inference(resolution,[],[f2809,f2274]) ).
tff(f3870,plain,
( spl385_10
| spl385_12 ),
inference(avatar_split_clause,[],[f3856,f3868,f3860]) ).
tff(f3856,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( ~ 'fun_app$m'('fun_app$n'('less_eq$f',X0),X1)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$'))
| $less('fun_app$u'('of_nat$',X0),$sum('fun_app$u'('of_nat$',X1),1)) ),
inference(resolution,[],[f2809,f2436]) ).
tff(f3866,plain,
( spl385_10
| spl385_11 ),
inference(avatar_split_clause,[],[f3857,f3864,f3860]) ).
tff(f3857,plain,
! [X2: 'Nat$',X3: 'Nat$',X4: 'Nat$'] :
( ( 'fun_app$u'('of_nat$',X3) = $sum('fun_app$u'('of_nat$',sK131(X3)),1) )
| $less('fun_app$u'('of_nat$',X2),$sum('fun_app$u'('of_nat$',X4),1))
| ~ 'fun_app$m'('fun_app$n'('less_eq$f',X2),X3)
| 'fun_app$m'('fun_app$n'('less_eq$f',sK369('of_nat$')),sK370('of_nat$')) ),
inference(resolution,[],[f2809,f2313]) ).
tff(f3264,plain,
( ~ spl385_9
| spl385_7 ),
inference(avatar_split_clause,[],[f3256,f3159,f3261]) ).
tff(f3256,plain,
( ~ 'less_eq$'('collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$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('fun_app$u'('of_nat$','n_1$'),1))))))))
| spl385_7 ),
inference(resolution,[],[f3030,f3161]) ).
tff(f3239,plain,
spl385_4,
inference(avatar_split_clause,[],[f2850,f3088]) ).
tff(f2850,plain,
'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom14) ).
tff(f3173,plain,
spl385_8,
inference(avatar_split_clause,[],[f2816,f3170]) ).
tff(f2816,plain,
'fun_app$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$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom15) ).
tff(f3162,plain,
~ spl385_7,
inference(avatar_split_clause,[],[f3157,f3159]) ).
tff(f3157,plain,
~ 'less_eq$'('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('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$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))))),
inference(forward_demodulation,[],[f3156,f3104]) ).
tff(f3104,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'collect$'('uug$'(X2,X1)))) = 'collect$'('uug$'('collect$'('uug$'(X0,X2)),X1)) ),
inference(forward_demodulation,[],[f3103,f2391]) ).
tff(f3103,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'fun_app$q'('fun_app$r'('inf$',X2),X1))) = 'collect$'('uug$'('collect$'('uug$'(X0,X2)),X1)) ),
inference(forward_demodulation,[],[f3102,f2391]) ).
tff(f3102,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'fun_app$q'('fun_app$r'('inf$',X2),X1))) = 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'(X0,X2))),X1) ),
inference(forward_demodulation,[],[f3101,f2391]) ).
tff(f3101,plain,
! [X2: 'A_run_set$',X0: 'A_run_set$',X1: 'A_run_set$'] : ( 'collect$'('uug$'(X0,'fun_app$q'('fun_app$r'('inf$',X2),X1))) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X2)),X1) ),
inference(forward_demodulation,[],[f2215,f2391]) ).
tff(f2215,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$',X0),X2)),X1) = 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X2),X1)) ),
inference(cnf_transformation,[],[f835]) ).
tff(f835,plain,
! [X0: 'A_run_set$',X2: 'A_run_set$',X1: 'A_run_set$'] : ( 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X2)),X1) = 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X2),X1)) ),
inference(rectify,[],[f103]) ).
tff(f103,axiom,
! [X0: 'A_run_set$',X2: 'A_run_set$',X1: '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$',X0),X1)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom101) ).
tff(f3156,plain,
~ 'less_eq$'('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('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$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))))),
inference(forward_demodulation,[],[f3155,f2391]) ).
tff(f3155,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$'),1))))),'collect$'('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$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))))),
inference(forward_demodulation,[],[f3154,f2391]) ).
tff(f3154,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('fun_app$u'('of_nat$','n_1$'),1)))))))),
inference(forward_demodulation,[],[f3153,f3104]) ).
tff(f3153,plain,
~ 'less_eq$'('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$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
inference(forward_demodulation,[],[f3152,f2391]) ).
tff(f3152,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,[],[f1984,f2391]) ).
tff(f1984,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$'),1))))),
inference(cnf_transformation,[],[f985]) ).
tff(f985,plain,
~ 'less_eq$'('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/sandbox2/benchmark/theBenchmark.p',conjecture12) ).
tff(f3111,plain,
~ spl385_6,
inference(avatar_split_clause,[],[f2005,f3108]) ).
tff(f3108,plain,
( spl385_6
<=> ( tltrue = tlfalse ) ),
introduced(avatar_definition,[new_symbols(naming,[spl385_6])]) ).
tff(f2005,plain,
tltrue != tlfalse,
inference(cnf_transformation,[],[f653]) ).
tff(f653,axiom,
tltrue != tlfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_652) ).
tff(f3095,plain,
( spl385_4
| spl385_5 ),
inference(avatar_split_clause,[],[f2057,f3092,f3088]) ).
tff(f2057,plain,
( 'fun_app$v'('operational_semantics_intro$'('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_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$v'('operational_semantics_elim$'('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_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ),
inference(cnf_transformation,[],[f1541]) ).
tff(f1541,plain,
( $false
| ( 'fun_app$v'('operational_semantics_intro$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
& $true )
| ( $true
& 'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ) ),
inference(flattening,[],[f1540]) ).
tff(f1540,plain,
( $false
| ( 'fun_app$v'('operational_semantics_intro$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
& $true )
| ( $true
& 'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))) ) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,axiom,
( ( ( 'fun_app$v'('operational_semantics_intro$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
=> $false )
& ( 'fun_app$v'('operational_semantics_elim$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))
=> $false ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom33) ).
tff(f3021,plain,
spl385_3,
inference(avatar_split_clause,[],[f2613,f3018]) ).
tff(f2613,plain,
'fun_app$v'('operational_semantics_step$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
'fun_app$v'('operational_semantics_step$'('fun_app$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$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom13) ).
tff(f3016,plain,
spl385_2,
inference(avatar_split_clause,[],[f1798,f3013]) ).
tff(f1798,plain,
'collect$'('uuk$') = 'symbolic_run_interpretation$'('nil$a'),
inference(cnf_transformation,[],[f518]) ).
tff(f518,axiom,
'collect$'('uuk$') = 'symbolic_run_interpretation$'('nil$a'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom516) ).
tff(f3007,plain,
spl385_1,
inference(avatar_split_clause,[],[f2216,f3004]) ).
tff(f2216,plain,
'fun_app$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/sandbox2/benchmark/theBenchmark.p',axiom194) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:22:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.11/0.62 % (25706)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.11/0.63 % (25707)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.11/0.63 % (25698)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 1.11/0.63 % (25699)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.11/0.64 % (25715)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.11/0.64 % (25707)Instruction limit reached!
% 1.11/0.64 % (25707)------------------------------
% 1.11/0.64 % (25707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.64 % (25716)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.11/0.65 % (25707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.65 % (25707)Termination reason: Unknown
% 1.11/0.65 % (25707)Termination phase: shuffling
% 1.11/0.65
% 1.11/0.65 % (25707)Memory used [KB]: 1663
% 1.11/0.65 % (25707)Time elapsed: 0.004 s
% 1.11/0.65 % (25707)Instructions burned: 2 (million)
% 1.11/0.65 % (25707)------------------------------
% 1.11/0.65 % (25707)------------------------------
% 1.78/0.67 % (25698)Instruction limit reached!
% 1.78/0.67 % (25698)------------------------------
% 1.78/0.67 % (25698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.67 % (25695)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.78/0.67 % (25698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.67 % (25698)Termination reason: Unknown
% 1.78/0.67 % (25698)Termination phase: Property scanning
% 1.78/0.67
% 1.78/0.67 % (25698)Memory used [KB]: 1663
% 1.78/0.67 % (25698)Time elapsed: 0.025 s
% 1.78/0.67 % (25698)Instructions burned: 32 (million)
% 1.78/0.67 % (25698)------------------------------
% 1.78/0.67 % (25698)------------------------------
% 1.78/0.67 % (25699)Instruction limit reached!
% 1.78/0.67 % (25699)------------------------------
% 1.78/0.67 % (25699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.68 % (25692)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.78/0.68 % (25710)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.78/0.68 % (25699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.68 % (25699)Termination reason: Unknown
% 1.78/0.68 % (25699)Termination phase: Preprocessing 1
% 1.78/0.68
% 1.78/0.68 % (25699)Memory used [KB]: 1918
% 1.78/0.68 % (25699)Time elapsed: 0.030 s
% 1.78/0.68 % (25699)Instructions burned: 36 (million)
% 1.78/0.68 % (25699)------------------------------
% 1.78/0.68 % (25699)------------------------------
% 1.78/0.68 % (25713)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.78/0.68 % (25714)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.78/0.68 % (25711)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.68 % (25701)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.68 % (25701)Instruction limit reached!
% 1.96/0.68 % (25701)------------------------------
% 1.96/0.68 % (25701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68 % (25701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68 % (25701)Termination reason: Unknown
% 1.96/0.68 % (25701)Termination phase: shuffling
% 1.96/0.68
% 1.96/0.68 % (25701)Memory used [KB]: 1663
% 1.96/0.68 % (25701)Time elapsed: 0.003 s
% 1.96/0.68 % (25701)Instructions burned: 2 (million)
% 1.96/0.68 % (25701)------------------------------
% 1.96/0.68 % (25701)------------------------------
% 1.96/0.68 % (25704)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.68 % (25719)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.96/0.68 % (25705)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.96/0.68 % (25704)Instruction limit reached!
% 1.96/0.68 % (25704)------------------------------
% 1.96/0.68 % (25704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68 % (25704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68 % (25704)Termination reason: Unknown
% 1.96/0.68 % (25704)Termination phase: shuffling
% 1.96/0.68
% 1.96/0.68 % (25704)Memory used [KB]: 1663
% 1.96/0.68 % (25704)Time elapsed: 0.003 s
% 1.96/0.68 % (25704)Instructions burned: 2 (million)
% 1.96/0.68 % (25704)------------------------------
% 1.96/0.68 % (25704)------------------------------
% 1.96/0.68 % (25720)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.96/0.68 % (25697)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.96/0.68 % (25696)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.96/0.69 % (25709)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.96/0.69 % (25703)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.96/0.69 % (25702)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.96/0.69 % (25722)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.96/0.69 % (25695)Instruction limit reached!
% 1.96/0.69 % (25695)------------------------------
% 1.96/0.69 % (25695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.69 % (25695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.69 % (25695)Termination reason: Unknown
% 1.96/0.69 % (25695)Termination phase: shuffling
% 1.96/0.69
% 1.96/0.69 % (25695)Memory used [KB]: 1663
% 1.96/0.69 % (25695)Time elapsed: 0.004 s
% 1.96/0.69 % (25695)Instructions burned: 2 (million)
% 1.96/0.69 % (25695)------------------------------
% 1.96/0.69 % (25695)------------------------------
% 1.96/0.69 % (25694)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.96/0.70 % (25693)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.96/0.70 % (25694)Instruction limit reached!
% 1.96/0.70 % (25694)------------------------------
% 1.96/0.70 % (25694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.70 % (25694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.70 % (25694)Termination reason: Unknown
% 1.96/0.70 % (25694)Termination phase: Property scanning
% 1.96/0.70
% 1.96/0.70 % (25694)Memory used [KB]: 1663
% 1.96/0.70 % (25694)Time elapsed: 0.008 s
% 1.96/0.70 % (25694)Instructions burned: 9 (million)
% 1.96/0.70 % (25694)------------------------------
% 1.96/0.70 % (25694)------------------------------
% 1.96/0.70 % (25721)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.96/0.70 % (25718)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.96/0.70 % (25703)Instruction limit reached!
% 1.96/0.70 % (25703)------------------------------
% 1.96/0.70 % (25703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.70 % (25703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.70 % (25703)Termination reason: Unknown
% 1.96/0.70 % (25703)Termination phase: shuffling
% 1.96/0.70
% 1.96/0.70 % (25703)Memory used [KB]: 1663
% 1.96/0.70 % (25703)Time elapsed: 0.005 s
% 1.96/0.70 % (25703)Instructions burned: 4 (million)
% 1.96/0.70 % (25703)------------------------------
% 1.96/0.70 % (25703)------------------------------
% 1.96/0.70 % (25711)Instruction limit reached!
% 1.96/0.70 % (25711)------------------------------
% 1.96/0.70 % (25711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.70 % (25711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.70 % (25711)Termination reason: Unknown
% 1.96/0.70 % (25711)Termination phase: shuffling
% 1.96/0.70
% 1.96/0.70 % (25711)Memory used [KB]: 1663
% 1.96/0.70 % (25711)Time elapsed: 0.003 s
% 1.96/0.70 % (25711)Instructions burned: 2 (million)
% 1.96/0.70 % (25711)------------------------------
% 1.96/0.70 % (25711)------------------------------
% 1.96/0.71 % (25708)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.71 % (25708)Instruction limit reached!
% 1.96/0.71 % (25708)------------------------------
% 1.96/0.71 % (25708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.71 % (25708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.71 % (25708)Termination reason: Unknown
% 1.96/0.71 % (25708)Termination phase: shuffling
% 1.96/0.71
% 1.96/0.71 % (25708)Memory used [KB]: 1663
% 1.96/0.71 % (25708)Time elapsed: 0.003 s
% 1.96/0.71 % (25708)Instructions burned: 2 (million)
% 1.96/0.71 % (25708)------------------------------
% 1.96/0.71 % (25708)------------------------------
% 1.96/0.71 % (25720)Instruction limit reached!
% 1.96/0.71 % (25720)------------------------------
% 1.96/0.71 % (25720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.71 % (25715)Instruction limit reached!
% 1.96/0.71 % (25715)------------------------------
% 1.96/0.71 % (25715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.71 % (25715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.71 % (25715)Termination reason: Unknown
% 1.96/0.71 % (25715)Termination phase: shuffling
% 1.96/0.71 % (25700)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.96/0.72
% 1.96/0.72 % (25715)Memory used [KB]: 2046
% 1.96/0.72 % (25715)Time elapsed: 0.039 s
% 1.96/0.72 % (25715)Instructions burned: 46 (million)
% 1.96/0.72 % (25715)------------------------------
% 1.96/0.72 % (25715)------------------------------
% 1.96/0.72 % (25713)Instruction limit reached!
% 1.96/0.72 % (25713)------------------------------
% 1.96/0.72 % (25713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72 % (25706)Instruction limit reached!
% 1.96/0.72 % (25706)------------------------------
% 1.96/0.72 % (25706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72 % (25706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72 % (25706)Termination reason: Unknown
% 1.96/0.72 % (25706)Termination phase: Preprocessing 3
% 1.96/0.72
% 1.96/0.72 % (25706)Memory used [KB]: 2814
% 1.96/0.72 % (25706)Time elapsed: 0.044 s
% 1.96/0.72 % (25706)Instructions burned: 50 (million)
% 1.96/0.72 % (25706)------------------------------
% 1.96/0.72 % (25706)------------------------------
% 1.96/0.72 % (25717)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.96/0.72 % (25697)Instruction limit reached!
% 1.96/0.72 % (25697)------------------------------
% 1.96/0.72 % (25697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72 % (25697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72 % (25697)Termination reason: Unknown
% 1.96/0.72 % (25697)Termination phase: Property scanning
% 1.96/0.72
% 1.96/0.72 % (25697)Memory used [KB]: 1663
% 1.96/0.72 % (25697)Time elapsed: 0.014 s
% 1.96/0.72 % (25697)Instructions burned: 16 (million)
% 1.96/0.72 % (25697)------------------------------
% 1.96/0.72 % (25697)------------------------------
% 2.28/0.73 % (25713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25713)Termination reason: Unknown
% 2.28/0.73 % (25713)Termination phase: Property scanning
% 2.28/0.73 % (25710)Instruction limit reached!
% 2.28/0.73 % (25710)------------------------------
% 2.28/0.73 % (25710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73 % (25710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25710)Termination reason: Unknown
% 2.28/0.73 % (25710)Termination phase: Property scanning
% 2.28/0.73
% 2.28/0.73 % (25710)Memory used [KB]: 1663
% 2.28/0.73 % (25710)Time elapsed: 0.012 s
% 2.28/0.73 % (25710)Instructions burned: 16 (million)
% 2.28/0.73 % (25710)------------------------------
% 2.28/0.73 % (25710)------------------------------
% 2.28/0.73
% 2.28/0.73 % (25713)Memory used [KB]: 1663
% 2.28/0.73 % (25713)Time elapsed: 0.013 s
% 2.28/0.73 % (25713)Instructions burned: 16 (million)
% 2.28/0.73 % (25713)------------------------------
% 2.28/0.73 % (25713)------------------------------
% 2.28/0.73 % (25705)Instruction limit reached!
% 2.28/0.73 % (25705)------------------------------
% 2.28/0.73 % (25705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73 % (25705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25705)Termination reason: Unknown
% 2.28/0.73 % (25705)Termination phase: Preprocessing 1
% 2.28/0.73
% 2.28/0.73 % (25705)Memory used [KB]: 1918
% 2.28/0.73 % (25705)Time elapsed: 0.016 s
% 2.28/0.73 % (25705)Instructions burned: 22 (million)
% 2.28/0.73 % (25705)------------------------------
% 2.28/0.73 % (25705)------------------------------
% 2.28/0.73 % (25716)Instruction limit reached!
% 2.28/0.73 % (25716)------------------------------
% 2.28/0.73 % (25716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73 % (25716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25716)Termination reason: Unknown
% 2.28/0.73 % (25716)Termination phase: Preprocessing 3
% 2.28/0.73 % (25714)Instruction limit reached!
% 2.28/0.73 % (25714)------------------------------
% 2.28/0.73 % (25714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73
% 2.28/0.73 % (25714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25716)Memory used [KB]: 2686
% 2.28/0.73 % (25714)Termination reason: Unknown
% 2.28/0.73 % (25716)Time elapsed: 0.056 s
% 2.28/0.73 % (25714)Termination phase: Preprocessing 1
% 2.28/0.73
% 2.28/0.73 % (25716)Instructions burned: 50 (million)
% 2.28/0.73 % (25716)------------------------------
% 2.28/0.73 % (25716)------------------------------
% 2.28/0.73 % (25714)Memory used [KB]: 1791
% 2.28/0.73 % (25714)Time elapsed: 0.015 s
% 2.28/0.73 % (25714)Instructions burned: 21 (million)
% 2.28/0.73 % (25714)------------------------------
% 2.28/0.73 % (25714)------------------------------
% 2.28/0.73 % (25721)Instruction limit reached!
% 2.28/0.73 % (25721)------------------------------
% 2.28/0.73 % (25721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73 % (25721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25721)Termination reason: Unknown
% 2.28/0.73 % (25721)Termination phase: Property scanning
% 2.28/0.73
% 2.28/0.73 % (25721)Memory used [KB]: 1663
% 2.28/0.73 % (25721)Time elapsed: 0.015 s
% 2.28/0.73 % (25721)Instructions burned: 21 (million)
% 2.28/0.73 % (25721)------------------------------
% 2.28/0.73 % (25721)------------------------------
% 2.28/0.73 % (25696)Instruction limit reached!
% 2.28/0.73 % (25696)------------------------------
% 2.28/0.73 % (25696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.73 % (25696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25696)Termination reason: Unknown
% 2.28/0.73 % (25696)Termination phase: SInE selection
% 2.28/0.73
% 2.28/0.73 % (25696)Memory used [KB]: 1791
% 2.28/0.73 % (25696)Time elapsed: 0.029 s
% 2.28/0.73 % (25696)Instructions burned: 37 (million)
% 2.28/0.73 % (25696)------------------------------
% 2.28/0.73 % (25696)------------------------------
% 2.28/0.73 % (25720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.73 % (25720)Termination reason: Unknown
% 2.28/0.73 % (25720)Termination phase: Preprocessing 1
% 2.28/0.73
% 2.28/0.73 % (25720)Memory used [KB]: 1791
% 2.28/0.73 % (25720)Time elapsed: 0.016 s
% 2.28/0.73 % (25720)Instructions burned: 21 (million)
% 2.28/0.73 % (25720)------------------------------
% 2.28/0.73 % (25720)------------------------------
% 2.42/0.76 % (25702)Instruction limit reached!
% 2.42/0.76 % (25702)------------------------------
% 2.42/0.76 % (25702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76 % (25702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76 % (25702)Termination reason: Unknown
% 2.42/0.76 % (25702)Termination phase: Preprocessing 1
% 2.42/0.76
% 2.42/0.76 % (25702)Memory used [KB]: 1918
% 2.42/0.76 % (25702)Time elapsed: 0.025 s
% 2.42/0.76 % (25702)Instructions burned: 36 (million)
% 2.42/0.76 % (25702)------------------------------
% 2.42/0.76 % (25702)------------------------------
% 2.42/0.78 % (25693)Instruction limit reached!
% 2.42/0.78 % (25693)------------------------------
% 2.42/0.78 % (25693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.78 % (25693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78 % (25693)Termination reason: Unknown
% 2.42/0.78 % (25693)Termination phase: Preprocessing 1
% 2.42/0.78
% 2.42/0.78 % (25693)Memory used [KB]: 1791
% 2.42/0.78 % (25693)Time elapsed: 0.024 s
% 2.42/0.78 % (25693)Instructions burned: 34 (million)
% 2.42/0.78 % (25693)------------------------------
% 2.42/0.78 % (25693)------------------------------
% 2.42/0.78 % (25700)Instruction limit reached!
% 2.42/0.78 % (25700)------------------------------
% 2.42/0.78 % (25700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.78 % (25719)Instruction limit reached!
% 2.42/0.78 % (25719)------------------------------
% 2.42/0.78 % (25719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.78 % (25700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78 % (25719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78 % (25700)Termination reason: Unknown
% 2.42/0.78 % (25719)Termination reason: Unknown
% 2.42/0.78 % (25700)Termination phase: Property scanning
% 2.42/0.78
% 2.42/0.78 % (25719)Termination phase: Naming
% 2.42/0.78
% 2.42/0.78 % (25700)Memory used [KB]: 1663
% 2.42/0.78 % (25719)Memory used [KB]: 2558
% 2.42/0.78 % (25700)Time elapsed: 0.020 s
% 2.42/0.78 % (25719)Time elapsed: 0.031 s
% 2.42/0.78 % (25700)Instructions burned: 26 (million)
% 2.42/0.78 % (25719)Instructions burned: 43 (million)
% 2.42/0.78 % (25700)------------------------------
% 2.42/0.78 % (25700)------------------------------
% 2.42/0.78 % (25719)------------------------------
% 2.42/0.78 % (25719)------------------------------
% 2.42/0.78 % (25718)Instruction limit reached!
% 2.42/0.78 % (25718)------------------------------
% 2.42/0.78 % (25718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.78 % (25718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78 % (25718)Termination reason: Unknown
% 2.42/0.78 % (25718)Termination phase: Preprocessing 1
% 2.42/0.78
% 2.42/0.78 % (25718)Memory used [KB]: 2174
% 2.42/0.78 % (25718)Time elapsed: 0.029 s
% 2.42/0.78 % (25718)Instructions burned: 43 (million)
% 2.42/0.78 % (25718)------------------------------
% 2.42/0.78 % (25718)------------------------------
% 2.42/0.79 % (25722)Instruction limit reached!
% 2.42/0.79 % (25722)------------------------------
% 2.42/0.79 % (25722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.79 % (25722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.79 % (25722)Termination reason: Unknown
% 2.42/0.79 % (25722)Termination phase: Preprocessing 1
% 2.42/0.79
% 2.42/0.79 % (25722)Memory used [KB]: 1918
% 2.42/0.79 % (25722)Time elapsed: 0.029 s
% 2.42/0.79 % (25722)Instructions burned: 41 (million)
% 2.42/0.79 % (25722)------------------------------
% 2.42/0.79 % (25722)------------------------------
% 2.42/0.80 % (25709)Instruction limit reached!
% 2.42/0.80 % (25709)------------------------------
% 2.42/0.80 % (25709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.80 % (25709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.80 % (25709)Termination reason: Unknown
% 2.42/0.80 % (25709)Termination phase: Naming
% 2.42/0.80
% 2.42/0.80 % (25709)Memory used [KB]: 2558
% 2.42/0.80 % (25709)Time elapsed: 0.034 s
% 2.42/0.80 % (25709)Instructions burned: 49 (million)
% 2.42/0.80 % (25709)------------------------------
% 2.42/0.80 % (25709)------------------------------
% 2.59/0.83 % (25717)Instruction limit reached!
% 2.59/0.83 % (25717)------------------------------
% 2.59/0.83 % (25717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.83 % (25717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.83 % (25717)Termination reason: Unknown
% 2.59/0.83 % (25717)Termination phase: Preprocessing 3
% 2.59/0.83
% 2.59/0.83 % (25717)Memory used [KB]: 2686
% 2.59/0.83 % (25717)Time elapsed: 0.035 s
% 2.59/0.83 % (25717)Instructions burned: 47 (million)
% 2.59/0.83 % (25717)------------------------------
% 2.59/0.83 % (25717)------------------------------
% 2.59/0.85 % (25754)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/81Mi)
% 2.59/0.85 % (25729)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.59/0.86 % (25755)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/146Mi)
% 2.59/0.86 % (25730)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.62/0.90 % (25744)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/463Mi)
% 2.62/0.90 % (25729)Instruction limit reached!
% 2.62/0.90 % (25729)------------------------------
% 2.62/0.90 % (25729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.90 % (25729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.90 % (25729)Termination reason: Unknown
% 2.62/0.90 % (25729)Termination phase: Property scanning
% 2.62/0.90
% 2.62/0.90 % (25729)Memory used [KB]: 1663
% 2.62/0.90 % (25729)Time elapsed: 0.011 s
% 2.62/0.90 % (25729)Instructions burned: 15 (million)
% 2.62/0.90 % (25729)------------------------------
% 2.62/0.90 % (25729)------------------------------
% 2.62/0.91 % (25745)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/494Mi)
% 2.62/0.91 % (25737)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/76Mi)
% 2.62/0.93 % (25731)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/25Mi)
% 2.62/0.93 % (25733)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/148Mi)
% 2.62/0.93 % (25741)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/108Mi)
% 2.62/0.93 % (25738)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/58Mi)
% 2.62/0.93 % (25730)Instruction limit reached!
% 2.62/0.93 % (25730)------------------------------
% 2.62/0.93 % (25730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.93 % (25730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.93 % (25730)Termination reason: Unknown
% 2.62/0.93 % (25730)Termination phase: Preprocessing 3
% 2.62/0.93
% 2.62/0.93 % (25730)Memory used [KB]: 2302
% 2.62/0.93 % (25730)Time elapsed: 0.054 s
% 2.62/0.93 % (25730)Instructions burned: 47 (million)
% 2.62/0.93 % (25730)------------------------------
% 2.62/0.93 % (25730)------------------------------
% 2.62/0.94 % (25754)Instruction limit reached!
% 2.62/0.94 % (25754)------------------------------
% 2.62/0.94 % (25754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.94 % (25754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.94 % (25754)Termination reason: Unknown
% 2.62/0.94 % (25754)Termination phase: Equality resolution with deletion
% 2.62/0.94
% 2.62/0.94 % (25754)Memory used [KB]: 3582
% 2.62/0.94 % (25754)Time elapsed: 0.056 s
% 2.62/0.94 % (25754)Instructions burned: 82 (million)
% 2.62/0.94 % (25754)------------------------------
% 2.62/0.94 % (25754)------------------------------
% 2.62/0.94 % (25735)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/100Mi)
% 2.62/0.94 % (25740)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.62/0.95 % (25747)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/223Mi)
% 2.89/0.97 % (25749)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.89/0.97 % (25750)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.89/0.97 % (25752)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/370Mi)
% 2.89/0.98 % (25751)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/160Mi)
% 2.89/0.98 % (25756)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.89/0.98 % (25731)Instruction limit reached!
% 2.89/0.98 % (25731)------------------------------
% 2.89/0.98 % (25731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.98 % (25731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.98 % (25731)Termination reason: Unknown
% 2.89/0.98 % (25731)Termination phase: shuffling
% 2.89/0.98
% 2.89/0.98 % (25731)Memory used [KB]: 2174
% 2.89/0.98 % (25731)Time elapsed: 0.019 s
% 2.89/0.98 % (25731)Instructions burned: 26 (million)
% 2.89/0.98 % (25731)------------------------------
% 2.89/0.98 % (25731)------------------------------
% 2.89/0.99 % (25753)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/493Mi)
% 2.89/0.99 % (25748)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.89/1.00 % (25759)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/330Mi)
% 2.89/1.00 % (25758)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/274Mi)
% 2.89/1.01 % (25755)Instruction limit reached!
% 2.89/1.01 % (25755)------------------------------
% 2.89/1.01 % (25755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/1.01 % (25755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/1.01 % (25755)Termination reason: Unknown
% 2.89/1.01 % (25755)Termination phase: Saturation
% 2.89/1.01
% 2.89/1.01 % (25755)Memory used [KB]: 3837
% 2.89/1.01 % (25755)Time elapsed: 0.121 s
% 2.89/1.01 % (25755)Instructions burned: 146 (million)
% 2.89/1.01 % (25755)------------------------------
% 2.89/1.01 % (25755)------------------------------
% 2.89/1.02 % (25763)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/374Mi)
% 3.11/1.02 % (25760)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/294Mi)
% 3.11/1.03 % (25765)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 3.11/1.04 % (25762)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/213Mi)
% 3.11/1.04 % (25777)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/256Mi)
% 3.11/1.05 % (25738)Instruction limit reached!
% 3.11/1.05 % (25738)------------------------------
% 3.11/1.05 % (25738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/1.05 % (25738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/1.05 % (25738)Termination reason: Unknown
% 3.11/1.05 % (25738)Termination phase: Preprocessing 3
% 3.11/1.05
% 3.11/1.05 % (25738)Memory used [KB]: 3198
% 3.11/1.05 % (25738)Time elapsed: 0.037 s
% 3.11/1.05 % (25738)Instructions burned: 58 (million)
% 3.11/1.05 % (25738)------------------------------
% 3.11/1.05 % (25738)------------------------------
% 5.07/1.08 % (25737)Instruction limit reached!
% 5.07/1.08 % (25737)------------------------------
% 5.07/1.08 % (25737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.07/1.08 % (25737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.07/1.08 % (25737)Termination reason: Unknown
% 5.07/1.08 % (25737)Termination phase: Property scanning
% 5.07/1.08
% 5.07/1.08 % (25737)Memory used [KB]: 3582
% 5.07/1.08 % (25737)Time elapsed: 0.049 s
% 5.07/1.08 % (25737)Instructions burned: 77 (million)
% 5.07/1.08 % (25737)------------------------------
% 5.07/1.08 % (25737)------------------------------
% 5.07/1.08 % (25764)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/500Mi)
% 5.07/1.11 % (25740)Instruction limit reached!
% 5.07/1.11 % (25740)------------------------------
% 5.07/1.11 % (25740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.07/1.11 % (25740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.07/1.11 % (25740)Termination reason: Unknown
% 5.07/1.11 % (25740)Termination phase: Saturation
% 5.07/1.11
% 5.07/1.11 % (25740)Memory used [KB]: 3582
% 5.07/1.11 % (25740)Time elapsed: 0.057 s
% 5.07/1.11 % (25740)Instructions burned: 96 (million)
% 5.07/1.11 % (25740)------------------------------
% 5.07/1.11 % (25740)------------------------------
% 5.07/1.12 % (25772)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/230Mi)
% 5.66/1.16 % (25741)Instruction limit reached!
% 5.66/1.16 % (25741)------------------------------
% 5.66/1.16 % (25741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.66/1.16 % (25741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.16 % (25741)Termination reason: Unknown
% 5.66/1.16 % (25741)Termination phase: Saturation
% 5.66/1.16
% 5.66/1.16 % (25741)Memory used [KB]: 8187
% 5.66/1.16 % (25741)Time elapsed: 0.072 s
% 5.66/1.16 % (25741)Instructions burned: 109 (million)
% 5.66/1.16 % (25741)------------------------------
% 5.66/1.16 % (25741)------------------------------
% 5.66/1.20 % (25777)Instruction limit reached!
% 5.66/1.20 % (25777)------------------------------
% 5.66/1.20 % (25777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.66/1.20 % (25777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.20 % (25777)Termination reason: Unknown
% 5.66/1.20 % (25777)Termination phase: Saturation
% 5.66/1.20
% 5.66/1.20 % (25777)Memory used [KB]: 5756
% 5.66/1.20 % (25777)Time elapsed: 0.163 s
% 5.66/1.20 % (25777)Instructions burned: 257 (million)
% 5.66/1.20 % (25777)------------------------------
% 5.66/1.20 % (25777)------------------------------
% 6.07/1.22 % (25775)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/360Mi)
% 6.07/1.23 % (25782)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3721Mi)
% 6.07/1.24 % (25733)Instruction limit reached!
% 6.07/1.24 % (25733)------------------------------
% 6.07/1.24 % (25733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.07/1.24 % (25733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.07/1.24 % (25733)Termination reason: Unknown
% 6.07/1.24 % (25733)Termination phase: Saturation
% 6.07/1.24
% 6.07/1.24 % (25733)Memory used [KB]: 4605
% 6.07/1.24 % (25733)Time elapsed: 0.090 s
% 6.07/1.24 % (25733)Instructions burned: 148 (million)
% 6.07/1.24 % (25733)------------------------------
% 6.07/1.24 % (25733)------------------------------
% 6.07/1.25 % (25735)Instruction limit reached!
% 6.07/1.25 % (25735)------------------------------
% 6.07/1.25 % (25735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.07/1.25 % (25735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.07/1.25 % (25735)Termination reason: Unknown
% 6.07/1.25 % (25735)Termination phase: Saturation
% 6.07/1.25
% 6.07/1.25 % (25735)Memory used [KB]: 7931
% 6.07/1.25 % (25735)Time elapsed: 0.067 s
% 6.07/1.25 % (25735)Instructions burned: 101 (million)
% 6.07/1.25 % (25735)------------------------------
% 6.07/1.25 % (25735)------------------------------
% 6.34/1.26 % (25790)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/330Mi)
% 6.34/1.26 % (25776)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/382Mi)
% 6.34/1.28 % (25750)Instruction limit reached!
% 6.34/1.28 % (25750)------------------------------
% 6.34/1.28 % (25750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.34/1.28 % (25750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.34/1.28 % (25750)Termination reason: Unknown
% 6.34/1.28 % (25750)Termination phase: Saturation
% 6.34/1.28
% 6.34/1.28 % (25750)Memory used [KB]: 3198
% 6.34/1.28 % (25750)Time elapsed: 0.090 s
% 6.34/1.28 % (25750)Instructions burned: 151 (million)
% 6.34/1.28 % (25750)------------------------------
% 6.34/1.28 % (25750)------------------------------
% 6.34/1.30 % (25787)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2416Mi)
% 6.34/1.31 % (25786)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1705Mi)
% 6.34/1.34 % (25788)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1683Mi)
% 6.82/1.35 % (25781)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1006Mi)
% 6.82/1.37 % (25756)Instruction limit reached!
% 6.82/1.37 % (25756)------------------------------
% 6.82/1.37 % (25756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.82/1.37 % (25756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.82/1.37 % (25756)Termination reason: Unknown
% 6.82/1.37 % (25756)Termination phase: Saturation
% 6.82/1.37
% 6.82/1.37 % (25756)Memory used [KB]: 10106
% 6.82/1.37 % (25756)Time elapsed: 0.563 s
% 6.82/1.37 % (25756)Instructions burned: 211 (million)
% 6.82/1.37 % (25756)------------------------------
% 6.82/1.37 % (25756)------------------------------
% 7.03/1.42 % (25784)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/501Mi)
% 7.29/1.44 % (25747)Instruction limit reached!
% 7.29/1.44 % (25747)------------------------------
% 7.29/1.44 % (25747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.44 % (25747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.44 % (25747)Termination reason: Unknown
% 7.29/1.44 % (25747)Termination phase: Saturation
% 7.29/1.44
% 7.29/1.44 % (25747)Memory used [KB]: 4349
% 7.29/1.44 % (25747)Time elapsed: 0.144 s
% 7.29/1.44 % (25747)Instructions burned: 223 (million)
% 7.29/1.44 % (25747)------------------------------
% 7.29/1.44 % (25747)------------------------------
% 7.29/1.45 % (25790)Instruction limit reached!
% 7.29/1.45 % (25790)------------------------------
% 7.29/1.45 % (25790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.45 % (25790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.45 % (25790)Termination reason: Unknown
% 7.29/1.45 % (25790)Termination phase: Saturation
% 7.29/1.45
% 7.29/1.45 % (25790)Memory used [KB]: 5117
% 7.29/1.45 % (25790)Time elapsed: 0.193 s
% 7.29/1.45 % (25790)Instructions burned: 330 (million)
% 7.29/1.45 % (25790)------------------------------
% 7.29/1.45 % (25790)------------------------------
% 7.29/1.45 % (25751)Instruction limit reached!
% 7.29/1.45 % (25751)------------------------------
% 7.29/1.45 % (25751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.45 % (25751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.45 % (25751)Termination reason: Unknown
% 7.29/1.45 % (25751)Termination phase: Saturation
% 7.29/1.45
% 7.29/1.45 % (25751)Memory used [KB]: 3837
% 7.29/1.45 % (25751)Time elapsed: 0.105 s
% 7.29/1.45 % (25751)Instructions burned: 162 (million)
% 7.29/1.45 % (25751)------------------------------
% 7.29/1.45 % (25751)------------------------------
% 7.61/1.47 % (25758)Instruction limit reached!
% 7.61/1.47 % (25758)------------------------------
% 7.61/1.47 % (25758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.61/1.47 % (25758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.61/1.47 % (25758)Termination reason: Unknown
% 7.61/1.47 % (25758)Termination phase: Saturation
% 7.61/1.47
% 7.61/1.47 % (25758)Memory used [KB]: 9850
% 7.61/1.47 % (25758)Time elapsed: 0.649 s
% 7.61/1.47 % (25758)Instructions burned: 274 (million)
% 7.61/1.47 % (25758)------------------------------
% 7.61/1.47 % (25758)------------------------------
% 7.61/1.49 % (25791)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/113Mi)
% 7.61/1.50 % (25760)Instruction limit reached!
% 7.61/1.50 % (25760)------------------------------
% 7.61/1.50 % (25760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.61/1.50 % (25760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.61/1.50 % (25760)Termination reason: Unknown
% 7.61/1.50 % (25760)Termination phase: Saturation
% 7.61/1.50
% 7.61/1.50 % (25760)Memory used [KB]: 4861
% 7.61/1.50 % (25760)Time elapsed: 0.631 s
% 7.61/1.50 % (25760)Instructions burned: 295 (million)
% 7.61/1.50 % (25760)------------------------------
% 7.61/1.50 % (25760)------------------------------
% 7.61/1.50 % (25802)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/238Mi)
% 7.87/1.51 % (25762)Instruction limit reached!
% 7.87/1.51 % (25762)------------------------------
% 7.87/1.51 % (25762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.87/1.51 % (25762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.87/1.51 % (25762)Termination reason: Unknown
% 7.87/1.51 % (25762)Termination phase: Saturation
% 7.87/1.51
% 7.87/1.51 % (25762)Memory used [KB]: 9338
% 7.87/1.51 % (25762)Time elapsed: 0.146 s
% 7.87/1.51 % (25762)Instructions burned: 213 (million)
% 7.87/1.51 % (25762)------------------------------
% 7.87/1.51 % (25762)------------------------------
% 7.87/1.53 % (25794)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3528Mi)
% 8.01/1.56 % (25792)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3217Mi)
% 8.01/1.64 % (25802)Instruction limit reached!
% 8.01/1.64 % (25802)------------------------------
% 8.01/1.64 % (25802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.01/1.64 % (25802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.01/1.64 % (25802)Termination reason: Unknown
% 8.01/1.64 % (25802)Termination phase: Saturation
% 8.01/1.64
% 8.01/1.64 % (25802)Memory used [KB]: 4349
% 8.01/1.64 % (25802)Time elapsed: 0.134 s
% 8.01/1.64 % (25802)Instructions burned: 240 (million)
% 8.01/1.64 % (25802)------------------------------
% 8.01/1.64 % (25802)------------------------------
% 8.51/1.67 % (25804)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/485Mi)
% 8.51/1.69 % (25799)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2304Mi)
% 8.51/1.69 % (25805)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1302Mi)
% 9.95/1.70 % (25807)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/591Mi)
% 9.95/1.71 % (25801)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/3780Mi)
% 9.95/1.71 % (25791)Instruction limit reached!
% 9.95/1.71 % (25791)------------------------------
% 9.95/1.71 % (25791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.95/1.71 % (25791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.95/1.71 % (25791)Termination reason: Unknown
% 9.95/1.71 % (25791)Termination phase: Saturation
% 9.95/1.71
% 9.95/1.71 % (25791)Memory used [KB]: 3709
% 9.95/1.71 % (25791)Time elapsed: 0.071 s
% 9.95/1.71 % (25791)Instructions burned: 116 (million)
% 9.95/1.71 % (25791)------------------------------
% 9.95/1.71 % (25791)------------------------------
% 9.95/1.72 % (25803)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/656Mi)
% 9.95/1.72 % (25745)Refutation not found, non-redundant clauses discarded% (25745)------------------------------
% 9.95/1.72 % (25745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.95/1.72 % (25745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.95/1.72 % (25745)Termination reason: Refutation not found, non-redundant clauses discarded
% 9.95/1.72
% 9.95/1.72 % (25745)Memory used [KB]: 5884
% 9.95/1.72 % (25745)Time elapsed: 0.865 s
% 9.95/1.72 % (25745)Instructions burned: 427 (million)
% 9.95/1.72 % (25745)------------------------------
% 9.95/1.72 % (25745)------------------------------
% 9.95/1.73 % (25752)Instruction limit reached!
% 9.95/1.73 % (25752)------------------------------
% 9.95/1.73 % (25752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.95/1.73 % (25752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.95/1.73 % (25752)Termination reason: Unknown
% 9.95/1.73 % (25752)Termination phase: Saturation
% 9.95/1.73
% 9.95/1.73 % (25752)Memory used [KB]: 5373
% 9.95/1.73 % (25752)Time elapsed: 0.953 s
% 9.95/1.73 % (25752)Instructions burned: 373 (million)
% 9.95/1.73 % (25752)------------------------------
% 9.95/1.73 % (25752)------------------------------
% 9.95/1.73 % (25759)Instruction limit reached!
% 9.95/1.73 % (25759)------------------------------
% 9.95/1.73 % (25759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.95/1.73 % (25806)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/980Mi)
% 9.95/1.74 % (25759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.95/1.74 % (25759)Termination reason: Unknown
% 9.95/1.74 % (25759)Termination phase: Saturation
% 9.95/1.74
% 9.95/1.74 % (25759)Memory used [KB]: 9466
% 9.95/1.74 % (25759)Time elapsed: 0.914 s
% 9.95/1.74 % (25759)Instructions burned: 331 (million)
% 9.95/1.74 % (25759)------------------------------
% 9.95/1.74 % (25759)------------------------------
% 9.95/1.74 % (25781)Refutation not found, incomplete strategy% (25781)------------------------------
% 9.95/1.74 % (25781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.95/1.74 % (25781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.95/1.74 % (25781)Termination reason: Refutation not found, incomplete strategy
% 9.95/1.74
% 9.95/1.74 % (25781)Memory used [KB]: 9083
% 9.95/1.74 % (25781)Time elapsed: 0.668 s
% 9.95/1.74 % (25781)Instructions burned: 151 (million)
% 9.95/1.74 % (25781)------------------------------
% 9.95/1.74 % (25781)------------------------------
% 10.48/1.79 % (25772)Instruction limit reached!
% 10.48/1.79 % (25772)------------------------------
% 10.48/1.79 % (25772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.48/1.79 % (25772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.48/1.79 % (25772)Termination reason: Unknown
% 10.48/1.79 % (25772)Termination phase: Saturation
% 10.48/1.79
% 10.48/1.79 % (25772)Memory used [KB]: 4349
% 10.48/1.79 % (25772)Time elapsed: 0.146 s
% 10.48/1.79 % (25772)Instructions burned: 231 (million)
% 10.48/1.79 % (25772)------------------------------
% 10.48/1.79 % (25772)------------------------------
% 10.79/1.82 % (25749)Instruction limit reached!
% 10.79/1.82 % (25749)------------------------------
% 10.79/1.82 % (25749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.79/1.82 % (25749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.79/1.82 % (25749)Termination reason: Unknown
% 10.79/1.82 % (25749)Termination phase: Saturation
% 10.79/1.82
% 10.79/1.82 % (25749)Memory used [KB]: 9466
% 10.79/1.82 % (25749)Time elapsed: 1.029 s
% 10.79/1.82 % (25749)Instructions burned: 489 (million)
% 10.79/1.82 % (25749)------------------------------
% 10.79/1.82 % (25749)------------------------------
% 10.79/1.82 % (25763)Instruction limit reached!
% 10.79/1.82 % (25763)------------------------------
% 10.79/1.82 % (25763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.79/1.82 % (25763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.79/1.82 % (25763)Termination reason: Unknown
% 10.79/1.82 % (25763)Termination phase: Saturation
% 10.79/1.82
% 10.79/1.82 % (25763)Memory used [KB]: 5756
% 10.79/1.82 % (25763)Time elapsed: 0.908 s
% 10.79/1.82 % (25763)Instructions burned: 375 (million)
% 10.79/1.82 % (25763)------------------------------
% 10.79/1.82 % (25763)------------------------------
% 10.79/1.83 % (25832)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/691Mi)
% 10.79/1.83 % (25834)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/370Mi)
% 11.01/1.86 % (25822)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/947Mi)
% 11.01/1.86 % (25837)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/361Mi)
% 11.01/1.86 % (25817)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/638Mi)
% 11.01/1.88 % (25744)Instruction limit reached!
% 11.01/1.88 % (25744)------------------------------
% 11.01/1.88 % (25744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.01/1.88 % (25744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.01/1.88 % (25744)Termination reason: Unknown
% 11.01/1.88 % (25744)Termination phase: Saturation
% 11.01/1.88
% 11.01/1.88 % (25744)Memory used [KB]: 11769
% 11.01/1.88 % (25744)Time elapsed: 1.047 s
% 11.01/1.88 % (25744)Instructions burned: 464 (million)
% 11.01/1.88 % (25744)------------------------------
% 11.01/1.88 % (25744)------------------------------
% 11.01/1.91 % (25748)Instruction limit reached!
% 11.01/1.91 % (25748)------------------------------
% 11.01/1.91 % (25748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.01/1.91 % (25748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.01/1.91 % (25748)Termination reason: Unknown
% 11.01/1.91 % (25748)Termination phase: Saturation
% 11.01/1.91
% 11.01/1.91 % (25748)Memory used [KB]: 4861
% 11.01/1.91 % (25748)Time elapsed: 1.130 s
% 11.01/1.91 % (25748)Instructions burned: 345 (million)
% 11.01/1.91 % (25748)------------------------------
% 11.01/1.91 % (25748)------------------------------
% 11.01/1.93 % (25859)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3058Mi)
% 11.53/1.96 % (25871)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1198Mi)
% 11.53/1.96 % (25872)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/2501Mi)
% 11.53/1.97 % (25776)Instruction limit reached!
% 11.53/1.97 % (25776)------------------------------
% 11.53/1.97 % (25776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.53/1.97 % (25776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.53/1.97 % (25776)Termination reason: Unknown
% 11.53/1.97 % (25776)Termination phase: Saturation
% 11.53/1.97
% 11.53/1.97 % (25776)Memory used [KB]: 4605
% 11.53/1.97 % (25776)Time elapsed: 0.929 s
% 11.53/1.97 % (25776)Instructions burned: 382 (million)
% 11.53/1.97 % (25776)------------------------------
% 11.53/1.97 % (25776)------------------------------
% 11.53/1.98 % (25765)Instruction limit reached!
% 11.53/1.98 % (25765)------------------------------
% 11.53/1.98 % (25765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.81/1.99 % (25765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.81/1.99 % (25765)Termination reason: Unknown
% 11.81/1.99 % (25765)Termination phase: Saturation
% 11.81/1.99
% 11.81/1.99 % (25765)Memory used [KB]: 9466
% 11.81/1.99 % (25765)Time elapsed: 1.117 s
% 11.81/1.99 % (25765)Instructions burned: 489 (million)
% 11.81/1.99 % (25765)------------------------------
% 11.81/1.99 % (25765)------------------------------
% 11.81/2.02 % (25910)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/256Mi)
% 11.81/2.02 % (25775)Instruction limit reached!
% 11.81/2.02 % (25775)------------------------------
% 11.81/2.02 % (25775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.81/2.02 % (25775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.81/2.02 % (25775)Termination reason: Unknown
% 11.81/2.02 % (25775)Termination phase: Saturation
% 11.81/2.02
% 11.81/2.02 % (25775)Memory used [KB]: 5245
% 11.81/2.02 % (25775)Time elapsed: 0.195 s
% 11.81/2.02 % (25775)Instructions burned: 361 (million)
% 11.81/2.02 % (25775)------------------------------
% 11.81/2.02 % (25775)------------------------------
% 11.81/2.04 % (25927)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/217Mi)
% 12.14/2.06 % (25753)Instruction limit reached!
% 12.14/2.06 % (25753)------------------------------
% 12.14/2.06 % (25753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.14/2.06 % (25753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.14/2.06 % (25753)Termination reason: Unknown
% 12.14/2.06 % (25753)Termination phase: Saturation
% 12.14/2.06
% 12.14/2.06 % (25753)Memory used [KB]: 4349
% 12.14/2.06 % (25753)Time elapsed: 1.263 s
% 12.14/2.06 % (25753)Instructions burned: 493 (million)
% 12.14/2.06 % (25753)------------------------------
% 12.14/2.06 % (25753)------------------------------
% 12.21/2.09 % (25968)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1006Mi)
% 12.21/2.10 % (25957)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1168Mi)
% 12.55/2.15 % (25975)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/4966Mi)
% 12.55/2.18 % (25834)Instruction limit reached!
% 12.55/2.18 % (25834)------------------------------
% 12.55/2.18 % (25834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.55/2.18 % (25764)Instruction limit reached!
% 12.55/2.18 % (25764)------------------------------
% 12.55/2.18 % (25764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.55/2.18 % (25764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.55/2.18 % (25764)Termination reason: Unknown
% 12.55/2.18 % (25764)Termination phase: Saturation
% 12.55/2.18
% 12.55/2.18 % (25764)Memory used [KB]: 11897
% 12.55/2.18 % (25764)Time elapsed: 0.286 s
% 12.55/2.18 % (25764)Instructions burned: 500 (million)
% 12.55/2.18 % (25764)------------------------------
% 12.55/2.18 % (25764)------------------------------
% 12.55/2.19 % (25834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.55/2.19 % (25834)Termination reason: Unknown
% 12.55/2.19 % (25834)Termination phase: Saturation
% 12.55/2.19
% 12.55/2.19 % (25834)Memory used [KB]: 4861
% 12.55/2.19 % (25834)Time elapsed: 0.372 s
% 12.55/2.19 % (25834)Instructions burned: 372 (million)
% 12.55/2.19 % (25834)------------------------------
% 12.55/2.19 % (25834)------------------------------
% 12.55/2.20 % (25985)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4835Mi)
% 12.55/2.24 % (25837)Instruction limit reached!
% 12.55/2.24 % (25837)------------------------------
% 12.55/2.24 % (25837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.31/2.24 % (25837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.31/2.24 % (25837)Termination reason: Unknown
% 14.31/2.24 % (25837)Termination phase: Saturation
% 14.31/2.24
% 14.31/2.24 % (25837)Memory used [KB]: 5373
% 14.31/2.24 % (25837)Time elapsed: 0.421 s
% 14.31/2.24 % (25837)Instructions burned: 362 (million)
% 14.31/2.24 % (25837)------------------------------
% 14.31/2.24 % (25837)------------------------------
% 14.31/2.25 % (25968)Refutation not found, incomplete strategy% (25968)------------------------------
% 14.31/2.25 % (25968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.31/2.27 % (25968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.31/2.27 % (25968)Termination reason: Refutation not found, incomplete strategy
% 14.31/2.27
% 14.31/2.27 % (25968)Memory used [KB]: 9083
% 14.31/2.27 % (25968)Time elapsed: 0.182 s
% 14.31/2.27 % (25968)Instructions burned: 150 (million)
% 14.31/2.27 % (25968)------------------------------
% 14.31/2.27 % (25968)------------------------------
% 14.77/2.30 % (26041)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3932Mi)
% 14.77/2.31 % (26045)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1742Mi)
% 14.77/2.32 % (25927)Instruction limit reached!
% 14.77/2.32 % (25927)------------------------------
% 14.77/2.32 % (25927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.77/2.32 % (25927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.77/2.32 % (25927)Termination reason: Unknown
% 14.77/2.32 % (25927)Termination phase: Saturation
% 14.77/2.32
% 14.77/2.32 % (25927)Memory used [KB]: 7931
% 14.77/2.32 % (25927)Time elapsed: 0.374 s
% 14.77/2.32 % (25927)Instructions burned: 218 (million)
% 14.77/2.32 % (25927)------------------------------
% 14.77/2.32 % (25927)------------------------------
% 15.24/2.38 % (26054)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/947Mi)
% 15.24/2.38 % (26053)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3843Mi)
% 15.49/2.42 % (25784)Instruction limit reached!
% 15.49/2.42 % (25784)------------------------------
% 15.49/2.42 % (25784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.49/2.42 % (25784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.49/2.42 % (25784)Termination reason: Unknown
% 15.49/2.42 % (25784)Termination phase: Saturation
% 15.49/2.42
% 15.49/2.42 % (25784)Memory used [KB]: 13048
% 15.49/2.42 % (25784)Time elapsed: 1.307 s
% 15.49/2.42 % (25784)Instructions burned: 502 (million)
% 15.49/2.42 % (25784)------------------------------
% 15.49/2.42 % (25784)------------------------------
% 15.72/2.43 % (25807)Instruction limit reached!
% 15.72/2.43 % (25807)------------------------------
% 15.72/2.43 % (25807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.72/2.43 % (25807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.72/2.43 % (25807)Termination reason: Unknown
% 15.72/2.43 % (25807)Termination phase: Saturation
% 15.72/2.43
% 15.72/2.43 % (25807)Memory used [KB]: 12153
% 15.72/2.43 % (25807)Time elapsed: 0.391 s
% 15.72/2.43 % (25807)Instructions burned: 592 (million)
% 15.72/2.43 % (25807)------------------------------
% 15.72/2.43 % (25807)------------------------------
% 15.72/2.44 % (25910)Instruction limit reached!
% 15.72/2.44 % (25910)------------------------------
% 15.72/2.44 % (25910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.72/2.44 % (25910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.72/2.44 % (25910)Termination reason: Unknown
% 15.72/2.44 % (25910)Termination phase: Saturation
% 15.72/2.44
% 15.72/2.44 % (25910)Memory used [KB]: 5756
% 15.72/2.44 % (25910)Time elapsed: 0.518 s
% 15.72/2.44 % (25910)Instructions burned: 257 (million)
% 15.72/2.44 % (25910)------------------------------
% 15.72/2.44 % (25910)------------------------------
% 15.72/2.45 % (26055)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/3622Mi)
% 15.72/2.45 % (25804)Instruction limit reached!
% 15.72/2.45 % (25804)------------------------------
% 15.72/2.45 % (25804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.72/2.45 % (25804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.72/2.45 % (25804)Termination reason: Unknown
% 15.72/2.45 % (25804)Termination phase: Saturation
% 15.72/2.45
% 15.72/2.45 % (25804)Memory used [KB]: 6780
% 15.72/2.45 % (25804)Time elapsed: 0.920 s
% 15.72/2.45 % (25804)Instructions burned: 486 (million)
% 15.72/2.45 % (25804)------------------------------
% 15.72/2.45 % (25804)------------------------------
% 16.37/2.54 % (25832)Instruction limit reached!
% 16.37/2.54 % (25832)------------------------------
% 16.37/2.54 % (25832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.37/2.54 % (25832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.37/2.54 % (25832)Termination reason: Unknown
% 16.37/2.54 % (25832)Termination phase: Saturation
% 16.37/2.54
% 16.37/2.54 % (25832)Memory used [KB]: 10234
% 16.37/2.54 % (25832)Time elapsed: 0.685 s
% 16.37/2.54 % (25832)Instructions burned: 693 (million)
% 16.37/2.54 % (25832)------------------------------
% 16.37/2.54 % (25832)------------------------------
% 16.37/2.55 % (26056)lrs+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=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/4725Mi)
% 16.37/2.57 % (26058)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/2661Mi)
% 16.37/2.58 % (26057)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/1518Mi)
% 16.37/2.58 % (26059)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/1324Mi)
% 17.17/2.67 % (26059)Refutation not found, incomplete strategy% (26059)------------------------------
% 17.17/2.67 % (26059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.17/2.67 % (26059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.17/2.67 % (26059)Termination reason: Refutation not found, incomplete strategy
% 17.17/2.67
% 17.17/2.67 % (26059)Memory used [KB]: 6780
% 17.17/2.67 % (26059)Time elapsed: 0.181 s
% 17.17/2.67 % (26059)Instructions burned: 57 (million)
% 17.17/2.67 % (26059)------------------------------
% 17.17/2.67 % (26059)------------------------------
% 17.17/2.67 % (26060)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/1168Mi)
% 17.40/2.74 % (25806)Instruction limit reached!
% 17.40/2.74 % (25806)------------------------------
% 17.40/2.74 % (25806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.40/2.74 % (25806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.40/2.74 % (25806)Termination reason: Unknown
% 17.40/2.74 % (25806)Termination phase: Saturation
% 17.40/2.74
% 17.40/2.74 % (25806)Memory used [KB]: 12025
% 17.40/2.74 % (25806)Time elapsed: 1.178 s
% 17.40/2.74 % (25806)Instructions burned: 980 (million)
% 17.40/2.74 % (25806)------------------------------
% 17.40/2.74 % (25806)------------------------------
% 18.28/2.79 % (25803)Instruction limit reached!
% 18.28/2.79 % (25803)------------------------------
% 18.28/2.79 % (25803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.28/2.79 % (25803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.28/2.79 % (25803)Termination reason: Unknown
% 18.28/2.79 % (25803)Termination phase: Saturation
% 18.28/2.79
% 18.28/2.79 % (25803)Memory used [KB]: 7547
% 18.28/2.79 % (25803)Time elapsed: 1.259 s
% 18.28/2.79 % (25803)Instructions burned: 657 (million)
% 18.28/2.79 % (25803)------------------------------
% 18.28/2.79 % (25803)------------------------------
% 18.28/2.80 % (26061)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/11321Mi)
% 19.04/2.85 % (26062)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/12082Mi)
% 19.54/2.91 % (25817)Instruction limit reached!
% 19.54/2.91 % (25817)------------------------------
% 19.54/2.91 % (25817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.54/2.91 % (25817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.54/2.91 % (25817)Termination reason: Unknown
% 19.54/2.91 % (25817)Termination phase: Saturation
% 19.54/2.91
% 19.54/2.91 % (25817)Memory used [KB]: 9722
% 19.54/2.91 % (25817)Time elapsed: 1.183 s
% 19.54/2.91 % (25817)Instructions burned: 638 (million)
% 19.54/2.91 % (25817)------------------------------
% 19.54/2.91 % (25817)------------------------------
% 19.54/2.92 % (26063)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/31695Mi)
% 20.56/3.07 % (26064)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/7145Mi)
% 22.72/3.38 % (25822)Instruction limit reached!
% 22.72/3.38 % (25822)------------------------------
% 22.72/3.38 % (25822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.72/3.38 % (25822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.72/3.38 % (25822)Termination reason: Unknown
% 22.72/3.38 % (25822)Termination phase: Saturation
% 22.72/3.38
% 22.72/3.38 % (25822)Memory used [KB]: 17654
% 22.72/3.38 % (25822)Time elapsed: 1.635 s
% 22.72/3.38 % (25822)Instructions burned: 947 (million)
% 22.72/3.38 % (25822)------------------------------
% 22.72/3.38 % (25822)------------------------------
% 23.95/3.51 % (26065)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/48352Mi)
% 24.74/3.56 % (25788)Instruction limit reached!
% 24.74/3.56 % (25788)------------------------------
% 24.74/3.56 % (25788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.74/3.57 % (25788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.74/3.57 % (25788)Termination reason: Unknown
% 24.74/3.57 % (25788)Termination phase: Saturation
% 24.74/3.57
% 24.74/3.57 % (25788)Memory used [KB]: 15607
% 24.74/3.57 % (25788)Time elapsed: 2.347 s
% 24.74/3.57 % (25788)Instructions burned: 1685 (million)
% 24.74/3.57 % (25788)------------------------------
% 24.74/3.57 % (25788)------------------------------
% 24.74/3.61 % (26054)Instruction limit reached!
% 24.74/3.61 % (26054)------------------------------
% 24.74/3.61 % (26054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.74/3.62 % (26054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.74/3.62 % (26054)Termination reason: Unknown
% 24.74/3.62 % (26054)Termination phase: Saturation
% 24.74/3.62
% 24.74/3.62 % (26054)Memory used [KB]: 17398
% 24.74/3.62 % (26054)Time elapsed: 1.289 s
% 24.74/3.62 % (26054)Instructions burned: 947 (million)
% 24.74/3.62 % (26054)------------------------------
% 24.74/3.62 % (26054)------------------------------
% 25.76/3.70 % (26066)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/48076Mi)
% 25.76/3.71 % (25871)Instruction limit reached!
% 25.76/3.71 % (25871)------------------------------
% 25.76/3.71 % (25871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.76/3.72 % (25871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.76/3.72 % (25871)Termination reason: Unknown
% 25.76/3.72 % (25871)Termination phase: Saturation
% 25.76/3.72
% 25.76/3.72 % (25871)Memory used [KB]: 6268
% 25.76/3.72 % (25871)Time elapsed: 1.860 s
% 25.76/3.72 % (25871)Instructions burned: 1200 (million)
% 25.76/3.72 % (25871)------------------------------
% 25.76/3.72 % (25871)------------------------------
% 25.76/3.74 % (25957)Instruction limit reached!
% 25.76/3.74 % (25957)------------------------------
% 25.76/3.74 % (25957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.76/3.74 % (25957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.76/3.74 % (25957)Termination reason: Unknown
% 25.76/3.74 % (25957)Termination phase: Saturation
% 25.76/3.74
% 25.76/3.74 % (25957)Memory used [KB]: 7164
% 25.76/3.74 % (25957)Time elapsed: 1.694 s
% 25.76/3.74 % (25957)Instructions burned: 1168 (million)
% 25.76/3.74 % (25957)------------------------------
% 25.76/3.74 % (25957)------------------------------
% 26.19/3.75 % (26067)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/24952Mi)
% 26.66/3.84 % (26068)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/17722Mi)
% 26.66/3.84 % (25805)Instruction limit reached!
% 26.66/3.84 % (25805)------------------------------
% 26.66/3.84 % (25805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.66/3.84 % (25805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.66/3.84 % (25805)Termination reason: Unknown
% 26.66/3.84 % (25805)Termination phase: Saturation
% 26.66/3.84
% 26.66/3.84 % (25805)Memory used [KB]: 14072
% 26.66/3.84 % (25805)Time elapsed: 2.288 s
% 26.66/3.84 % (25805)Instructions burned: 1302 (million)
% 26.66/3.84 % (25805)------------------------------
% 26.66/3.84 % (25805)------------------------------
% 26.66/3.84 % (26069)lrs+35_1:1_aac=none:abs=on:amm=off:norm_ineq=on:s2a=on:s2at=3.0:tha=off:i=25691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/25691Mi)
% 27.92/3.97 % (25786)Instruction limit reached!
% 27.92/3.97 % (25786)------------------------------
% 27.92/3.97 % (25786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.92/3.97 % (25786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.92/3.97 % (25786)Termination reason: Unknown
% 27.92/3.97 % (25786)Termination phase: Saturation
% 27.92/3.97
% 27.92/3.97 % (25786)Memory used [KB]: 21108
% 27.92/3.97 % (25786)Time elapsed: 2.835 s
% 27.92/3.97 % (25786)Instructions burned: 1706 (million)
% 27.92/3.97 % (25786)------------------------------
% 27.92/3.97 % (25786)------------------------------
% 27.92/3.97 % (26070)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/1742Mi)
% 28.69/4.13 % (26071)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=31719:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/31719Mi)
% 30.15/4.30 % (26060)Instruction limit reached!
% 30.15/4.30 % (26060)------------------------------
% 30.15/4.30 % (26060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.15/4.30 % (26060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.15/4.30 % (26060)Termination reason: Unknown
% 30.15/4.30 % (26060)Termination phase: Saturation
% 30.15/4.30
% 30.15/4.30 % (26060)Memory used [KB]: 7291
% 30.15/4.30 % (26060)Time elapsed: 1.730 s
% 30.15/4.30 % (26060)Instructions burned: 1168 (million)
% 30.15/4.30 % (26060)------------------------------
% 30.15/4.30 % (26060)------------------------------
% 31.36/4.44 % (26072)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/12098Mi)
% 31.81/4.52 % (26057)Instruction limit reached!
% 31.81/4.52 % (26057)------------------------------
% 31.81/4.52 % (26057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.81/4.54 % (26057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.81/4.54 % (26057)Termination reason: Unknown
% 31.81/4.54 % (26057)Termination phase: Saturation
% 31.81/4.54
% 31.81/4.54 % (26057)Memory used [KB]: 7675
% 31.81/4.54 % (26057)Time elapsed: 2.050 s
% 31.81/4.54 % (26057)Instructions burned: 1519 (million)
% 31.81/4.54 % (26057)------------------------------
% 31.81/4.54 % (26057)------------------------------
% 32.53/4.59 % (25787)Instruction limit reached!
% 32.53/4.59 % (25787)------------------------------
% 32.53/4.59 % (25787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.53/4.59 % (25787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.53/4.59 % (25787)Termination reason: Unknown
% 32.53/4.59 % (25787)Termination phase: Saturation
% 32.53/4.59
% 32.53/4.59 % (25787)Memory used [KB]: 9978
% 32.53/4.59 % (25787)Time elapsed: 3.381 s
% 32.53/4.59 % (25787)Instructions burned: 2416 (million)
% 32.53/4.59 % (25787)------------------------------
% 32.53/4.59 % (25787)------------------------------
% 33.47/4.67 % (26073)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/7522Mi)
% 33.47/4.69 % (26074)lrs+10_1:1_abs=on:afp=1000:nicw=on:sas=z3:tgt=ground:tha=off:uwa=all:i=9256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/9256Mi)
% 37.47/5.22 % (26045)Instruction limit reached!
% 37.47/5.22 % (26045)------------------------------
% 37.47/5.22 % (26045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.47/5.22 % (26045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.47/5.22 % (26045)Termination reason: Unknown
% 37.47/5.22 % (26045)Termination phase: Saturation
% 37.47/5.22
% 37.47/5.22 % (26045)Memory used [KB]: 11513
% 37.47/5.22 % (26045)Time elapsed: 2.987 s
% 37.47/5.22 % (26045)Instructions burned: 1743 (million)
% 37.47/5.22 % (26045)------------------------------
% 37.47/5.22 % (26045)------------------------------
% 38.20/5.28 % (25799)Instruction limit reached!
% 38.20/5.28 % (25799)------------------------------
% 38.20/5.28 % (25799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.20/5.28 % (25799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.20/5.28 % (25799)Termination reason: Unknown
% 38.20/5.28 % (25799)Termination phase: Saturation
% 38.20/5.28
% 38.20/5.28 % (25799)Memory used [KB]: 14200
% 38.20/5.28 % (25799)Time elapsed: 3.837 s
% 38.20/5.28 % (25799)Instructions burned: 2305 (million)
% 38.20/5.28 % (25799)------------------------------
% 38.20/5.28 % (25799)------------------------------
% 38.67/5.35 % (26075)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/7507Mi)
% 39.22/5.39 % (26076)lrs+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=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/4725Mi)
% 39.22/5.39 % (25872)Instruction limit reached!
% 39.22/5.39 % (25872)------------------------------
% 39.22/5.39 % (25872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.22/5.39 % (25872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.22/5.39 % (25872)Termination reason: Unknown
% 39.22/5.39 % (25872)Termination phase: Saturation
% 39.22/5.39
% 39.22/5.39 % (25872)Memory used [KB]: 18933
% 39.22/5.39 % (25872)Time elapsed: 3.489 s
% 39.22/5.39 % (25872)Instructions burned: 2501 (million)
% 39.22/5.39 % (25872)------------------------------
% 39.22/5.39 % (25872)------------------------------
% 40.43/5.53 % (26077)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=6461:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/6461Mi)
% 44.98/6.12 % (26058)Instruction limit reached!
% 44.98/6.12 % (26058)------------------------------
% 44.98/6.12 % (26058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.98/6.12 % (26058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.98/6.12 % (26058)Termination reason: Unknown
% 44.98/6.12 % (26058)Termination phase: Saturation
% 44.98/6.12
% 44.98/6.12 % (26058)Memory used [KB]: 14839
% 44.98/6.12 % (26058)Time elapsed: 3.573 s
% 44.98/6.12 % (26058)Instructions burned: 2663 (million)
% 44.98/6.12 % (26058)------------------------------
% 44.98/6.12 % (26058)------------------------------
% 45.99/6.27 % (26078)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=11248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/11248Mi)
% 49.28/6.67 % (25859)Instruction limit reached!
% 49.28/6.67 % (25859)------------------------------
% 49.28/6.67 % (25859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.28/6.69 % (25859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.28/6.69 % (25859)Termination reason: Unknown
% 49.28/6.69 % (25859)Termination phase: Saturation
% 49.28/6.69
% 49.28/6.69 % (25859)Memory used [KB]: 48357
% 49.28/6.69 % (25859)Time elapsed: 4.826 s
% 49.28/6.69 % (25859)Instructions burned: 3059 (million)
% 49.28/6.69 % (25859)------------------------------
% 49.28/6.69 % (25859)------------------------------
% 49.89/6.73 % (25782)Instruction limit reached!
% 49.89/6.73 % (25782)------------------------------
% 49.89/6.73 % (25782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.89/6.73 % (25782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.89/6.73 % (25782)Termination reason: Unknown
% 49.89/6.73 % (25782)Termination phase: Saturation
% 49.89/6.73
% 49.89/6.73 % (25782)Memory used [KB]: 40297
% 49.89/6.73 % (25782)Time elapsed: 5.623 s
% 49.89/6.73 % (25782)Instructions burned: 3722 (million)
% 49.89/6.73 % (25782)------------------------------
% 49.89/6.73 % (25782)------------------------------
% 50.32/6.80 % (26079)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=10523:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/10523Mi)
% 50.99/6.87 % (26070)Instruction limit reached!
% 50.99/6.87 % (26070)------------------------------
% 50.99/6.87 % (26070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.99/6.87 % (26070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.99/6.87 % (26070)Termination reason: Unknown
% 50.99/6.87 % (26070)Termination phase: Saturation
% 50.99/6.87
% 50.99/6.87 % (26070)Memory used [KB]: 14967
% 50.99/6.87 % (26070)Time elapsed: 3.001 s
% 50.99/6.87 % (26070)Instructions burned: 1743 (million)
% 50.99/6.87 % (26070)------------------------------
% 50.99/6.87 % (26070)------------------------------
% 50.99/6.88 % (26080)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/1324Mi)
% 51.58/6.96 % (26080)Refutation not found, incomplete strategy% (26080)------------------------------
% 51.58/6.96 % (26080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.58/6.96 % (26080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.58/6.96 % (26080)Termination reason: Refutation not found, incomplete strategy
% 51.58/6.96
% 51.58/6.96 % (26080)Memory used [KB]: 6780
% 51.58/6.96 % (26080)Time elapsed: 0.211 s
% 51.58/6.96 % (26080)Instructions burned: 60 (million)
% 51.58/6.96 % (26080)------------------------------
% 51.58/6.96 % (26080)------------------------------
% 51.58/6.99 % (25801)Instruction limit reached!
% 51.58/6.99 % (25801)------------------------------
% 51.58/6.99 % (25801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.58/6.99 % (25801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.58/6.99 % (25801)Termination reason: Unknown
% 51.58/6.99 % (25801)Termination phase: Saturation
% 51.58/6.99
% 51.58/6.99 % (25801)Memory used [KB]: 25330
% 51.58/6.99 % (25801)Time elapsed: 5.471 s
% 51.58/6.99 % (25801)Instructions burned: 3783 (million)
% 51.58/6.99 % (25801)------------------------------
% 51.58/6.99 % (25801)------------------------------
% 52.11/7.01 % (26081)lrs+2_1:128_afq=1.0:bd=off:bsr=unit_only:irw=on:i=49169:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/49169Mi)
% 52.11/7.03 % (25794)Instruction limit reached!
% 52.11/7.03 % (25794)------------------------------
% 52.11/7.03 % (25794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.11/7.03 % (25794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.11/7.03 % (25794)Termination reason: Unknown
% 52.11/7.03 % (25794)Termination phase: Saturation
% 52.11/7.03
% 52.11/7.03 % (25794)Memory used [KB]: 29551
% 52.11/7.03 % (25794)Time elapsed: 5.467 s
% 52.11/7.03 % (25794)Instructions burned: 3529 (million)
% 52.11/7.03 % (25794)------------------------------
% 52.11/7.03 % (25794)------------------------------
% 52.59/7.08 % (25792)Refutation not found, non-redundant clauses discarded% (25792)------------------------------
% 52.59/7.08 % (25792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.59/7.08 % (25792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.59/7.08 % (25792)Termination reason: Refutation not found, non-redundant clauses discarded
% 52.59/7.08
% 52.59/7.08 % (25792)Memory used [KB]: 33773
% 52.59/7.08 % (25792)Time elapsed: 5.753 s
% 52.59/7.08 % (25792)Instructions burned: 3208 (million)
% 52.59/7.08 % (25792)------------------------------
% 52.59/7.08 % (25792)------------------------------
% 52.59/7.10 % (26082)lrs+10_1:1_nm=0:sd=4:sos=on:ss=axioms:st=3.0:i=6824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/6824Mi)
% 52.59/7.14 % (26083)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/12082Mi)
% 53.17/7.17 % (26084)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=20746:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/20746Mi)
% 53.77/7.22 % (26085)lrs+10_1:1024_br=off:ep=RSTC:urr=on:i=47953:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/47953Mi)
% 54.16/7.28 % (26082)Refutation not found, incomplete strategy% (26082)------------------------------
% 54.16/7.28 % (26082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.16/7.29 % (26041)Instruction limit reached!
% 54.16/7.29 % (26041)------------------------------
% 54.16/7.29 % (26041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.16/7.29 % (26082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.16/7.29 % (26082)Termination reason: Refutation not found, incomplete strategy
% 54.16/7.29
% 54.16/7.29 % (26082)Memory used [KB]: 8827
% 54.16/7.29 % (26082)Time elapsed: 0.298 s
% 54.16/7.29 % (26082)Instructions burned: 135 (million)
% 54.16/7.29 % (26082)------------------------------
% 54.16/7.29 % (26082)------------------------------
% 54.16/7.30 % (26041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.16/7.30 % (26041)Termination reason: Unknown
% 54.16/7.30 % (26041)Termination phase: Saturation
% 54.16/7.30
% 54.16/7.30 % (26041)Memory used [KB]: 14711
% 54.16/7.30 % (26041)Time elapsed: 4.923 s
% 54.16/7.30 % (26041)Instructions burned: 3935 (million)
% 54.16/7.30 % (26041)------------------------------
% 54.16/7.30 % (26041)------------------------------
% 55.01/7.42 % (26086)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=18577:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/18577Mi)
% 55.01/7.44 % (26087)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/17722Mi)
% 65.01/8.63 % (26053)Instruction limit reached!
% 65.01/8.63 % (26053)------------------------------
% 65.01/8.63 % (26053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.01/8.65 % (26053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.01/8.65 % (26053)Termination reason: Unknown
% 65.01/8.65 % (26053)Termination phase: Saturation
% 65.01/8.65
% 65.01/8.65 % (26053)Memory used [KB]: 28144
% 65.01/8.65 % (26053)Time elapsed: 6.280 s
% 65.01/8.65 % (26053)Instructions burned: 3844 (million)
% 65.01/8.65 % (26053)------------------------------
% 65.01/8.65 % (26053)------------------------------
% 66.39/8.82 % (26088)lrs+1002_5:1_av=off:awrs=decay:awrsf=16:cond=on:fd=preordered:sfv=off:sp=const_frequency:thi=neg_eq:thsq=on:thsqc=16:thsqd=64:i=26841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/26841Mi)
% 66.95/8.88 % (26055)Instruction limit reached!
% 66.95/8.88 % (26055)------------------------------
% 66.95/8.88 % (26055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.95/8.88 % (26055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.95/8.88 % (26055)Termination reason: Unknown
% 66.95/8.88 % (26055)Termination phase: Saturation
% 66.95/8.88
% 66.95/8.88 % (26055)Memory used [KB]: 24946
% 66.95/8.88 % (26055)Time elapsed: 6.513 s
% 66.95/8.88 % (26055)Instructions burned: 3622 (million)
% 66.95/8.88 % (26055)------------------------------
% 66.95/8.88 % (26055)------------------------------
% 67.66/9.01 % (25975)Instruction limit reached!
% 67.66/9.01 % (25975)------------------------------
% 67.66/9.01 % (25975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 67.66/9.02 % (25975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 67.66/9.02 % (25975)Termination reason: Unknown
% 67.66/9.02 % (25975)Termination phase: Saturation
% 67.66/9.02
% 67.66/9.02 % (25975)Memory used [KB]: 48357
% 67.66/9.02 % (25975)Time elapsed: 6.932 s
% 67.66/9.02 % (25975)Instructions burned: 4966 (million)
% 67.66/9.02 % (25975)------------------------------
% 67.66/9.02 % (25975)------------------------------
% 67.66/9.02 % (26089)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=13722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2914ds/13722Mi)
% 69.37/9.16 % (26090)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=30560:si=on:rawr=on:rtra=on_0 on theBenchmark for (2913ds/30560Mi)
% 72.39/9.58 % (26076)First to succeed.
% 72.39/9.64 % (26076)Refutation found. Thanks to Tanya!
% 72.39/9.64 % SZS status Theorem for theBenchmark
% 72.39/9.64 % SZS output start Proof for theBenchmark
% See solution above
% 73.20/9.64 % (26076)------------------------------
% 73.20/9.64 % (26076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 73.20/9.64 % (26076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 73.20/9.64 % (26076)Termination reason: Refutation
% 73.20/9.64
% 73.20/9.64 % (26076)Memory used [KB]: 22259
% 73.20/9.64 % (26076)Time elapsed: 4.197 s
% 73.20/9.64 % (26076)Instructions burned: 2886 (million)
% 73.20/9.64 % (26076)------------------------------
% 73.20/9.64 % (26076)------------------------------
% 73.20/9.64 % (25691)Success in time 9.297 s
%------------------------------------------------------------------------------