%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP411_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:49 AM UTC 2026
% Result : Theorem 5.53s 1.99s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 16 ( 0 atm; 8 fun; 8 num; 0 var)
% Number of types : 110 ( 108 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-2 aty)
% Number of functors : 238 ( 236 usr; 29 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_bool_fun$': $tType ).
tff(type_def_6,type,
'Nat_list_list$': $tType ).
tff(type_def_7,type,
'A_TESL_atomic_list_list_bool_fun$': $tType ).
tff(type_def_8,type,
'A_constr_list_list_nat_list_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$': $tType ).
tff(type_def_10,type,
'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$': $tType ).
tff(type_def_11,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$': $tType ).
tff(type_def_12,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_13,type,
'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$': $tType ).
tff(type_def_14,type,
'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).
tff(type_def_15,type,
'Clock$': $tType ).
tff(type_def_16,type,
'Nat_a_TESL_atomic_list_prod_list$': $tType ).
tff(type_def_17,type,
'A_TESL_atomic_list_list$': $tType ).
tff(type_def_18,type,
'Nat_a_TESL_atomic_prod$': $tType ).
tff(type_def_19,type,
'Nat_a_TESL_atomic_prod_bool_fun$': $tType ).
tff(type_def_20,type,
'Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$': $tType ).
tff(type_def_21,type,
'Nat_list$': $tType ).
tff(type_def_22,type,
'A_TESL_atomic_list_set$': $tType ).
tff(type_def_23,type,
'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$': $tType ).
tff(type_def_25,type,
'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$': $tType ).
tff(type_def_26,type,
'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$': $tType ).
tff(type_def_27,type,
'A_constr_list$': $tType ).
tff(type_def_28,type,
'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$': $tType ).
tff(type_def_29,type,
'Nat_a_constr_list_prod$': $tType ).
tff(type_def_30,type,
'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$': $tType ).
tff(type_def_31,type,
'A_TESL_atomic_list$': $tType ).
tff(type_def_32,type,
'Int_int_fun$': $tType ).
tff(type_def_33,type,
'A_constr_list_list_a_constr_list_list_prod$': $tType ).
tff(type_def_34,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod$': $tType ).
tff(type_def_35,type,
'Nat_nat_prod$': $tType ).
tff(type_def_36,type,
'A_TESL_atomic_list_list_nat_list_bool_fun_fun$': $tType ).
tff(type_def_37,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$': $tType ).
tff(type_def_38,type,
'A_run$': $tType ).
tff(type_def_39,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$': $tType ).
tff(type_def_40,type,
'A_tag_const$': $tType ).
tff(type_def_41,type,
'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).
tff(type_def_42,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$': $tType ).
tff(type_def_43,type,
'A_TESL_atomic_list_a_TESL_atomic_list_fun$': $tType ).
tff(type_def_44,type,
'A_TESL_atomic_list_list_list$': $tType ).
tff(type_def_45,type,
'Nat_nat_fun$': $tType ).
tff(type_def_46,type,
'A_constr_list_list_list$': $tType ).
tff(type_def_47,type,
'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$': $tType ).
tff(type_def_48,type,
'A_TESL_atomic_list_nat_prod$': $tType ).
tff(type_def_49,type,
'A_TESL_atomic_a_TESL_atomic_prod_set$': $tType ).
tff(type_def_50,type,
'A_constr_set$': $tType ).
tff(type_def_51,type,
'A_run_set_a_run_set_a_run_set_fun_fun$': $tType ).
tff(type_def_52,type,
'A_TESL_atomic_set$': $tType ).
tff(type_def_53,type,
'Nat_a_TESL_atomic_list_nat_fun_prod$': $tType ).
tff(type_def_54,type,
'Nat$': $tType ).
tff(type_def_55,type,
'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$': $tType ).
tff(type_def_56,type,
'Nat_list_bool_fun$': $tType ).
tff(type_def_57,type,
'A_constr$': $tType ).
tff(type_def_58,type,
'Nat_a_constr_list_prod_list$': $tType ).
tff(type_def_59,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$': $tType ).
tff(type_def_60,type,
'A_TESL_atomic_list_a_TESL_atomic_list_fun_a_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_prod$': $tType ).
tff(type_def_61,type,
'Nat_a_TESL_atomic_prod_list$': $tType ).
tff(type_def_62,type,
'Nat_a_TESL_atomic_list_prod$': $tType ).
tff(type_def_63,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_prod$': $tType ).
tff(type_def_64,type,
'A_TESL_atomic_list_nat_list_bool_fun_fun$': $tType ).
tff(type_def_65,type,
'Nat_a_TESL_atomic_prod_list_bool_fun$': $tType ).
tff(type_def_66,type,
'A_TESL_atomic_bool_fun$': $tType ).
tff(type_def_67,type,
'A_constr_list_list_bool_fun$': $tType ).
tff(type_def_68,type,
'A_TESL_atomic_a_TESL_atomic_fun$': $tType ).
tff(type_def_69,type,
'Nat_nat_a_TESL_atomic_prod_prod$': $tType ).
tff(type_def_70,type,
'A_run_set_a_run_set_fun$': $tType ).
tff(type_def_71,type,
'Nat_list_a_constr_list_list_bool_fun_fun$': $tType ).
tff(type_def_72,type,
'A_constr_list_a_constr_list_bool_fun_fun$': $tType ).
tff(type_def_73,type,
'Nat_nat_bool_fun_fun_nat_list_prod$': $tType ).
tff(type_def_74,type,
'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$': $tType ).
tff(type_def_75,type,
'A_TESL_atomic_list_bool_fun$': $tType ).
tff(type_def_76,type,
'Nat_list_nat_list_bool_fun_fun$': $tType ).
tff(type_def_77,type,
'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$': $tType ).
tff(type_def_78,type,
'A_TESL_atomic_list_a_TESL_atomic_list_list_bool_fun_fun$': $tType ).
tff(type_def_79,type,
'Nat_nat_a_TESL_atomic_prod_prod_list$': $tType ).
tff(type_def_80,type,
'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$': $tType ).
tff(type_def_81,type,
'A_run_set$': $tType ).
tff(type_def_82,type,
'A_TESL_atomic_list_nat_fun_list_bool_fun$': $tType ).
tff(type_def_83,type,
'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$': $tType ).
tff(type_def_84,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$': $tType ).
tff(type_def_85,type,
'Nat_a_TESL_atomic_prod_list_list$': $tType ).
tff(type_def_86,type,
'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$': $tType ).
tff(type_def_87,type,
'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$': $tType ).
tff(type_def_88,type,
'A_TESL_atomic$': $tType ).
tff(type_def_89,type,
'A_run_bool_fun$': $tType ).
tff(type_def_90,type,
'A_TESL_atomic_list_a_constr_list_list_bool_fun_fun$': $tType ).
tff(type_def_91,type,
'Nat_list_nat_list_prod$': $tType ).
tff(type_def_92,type,
'Int_int_int_fun_fun$': $tType ).
tff(type_def_93,type,
'Nat_list_a_TESL_atomic_list_list_bool_fun_fun$': $tType ).
tff(type_def_94,type,
'Nat_a_TESL_atomic_list_nat_fun_prod_list$': $tType ).
tff(type_def_95,type,
'Nat_nat_prod_list$': $tType ).
tff(type_def_96,type,
'Nat_list_a_TESL_atomic_list_bool_fun_fun$': $tType ).
tff(type_def_97,type,
'A_TESL_atomic_list_nat_fun_list_list$': $tType ).
tff(type_def_98,type,
'A_TESL_atomic_list_nat_fun$': $tType ).
tff(type_def_99,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$': $tType ).
tff(type_def_100,type,
'Nat_bool_fun$': $tType ).
tff(type_def_101,type,
'A_constr_list_list$': $tType ).
tff(type_def_102,type,
'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$': $tType ).
tff(type_def_103,type,
'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$': $tType ).
tff(type_def_104,type,
'Nat_int_fun$': $tType ).
tff(type_def_105,type,
'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$': $tType ).
tff(type_def_106,type,
'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$': $tType ).
tff(type_def_107,type,
'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$': $tType ).
tff(type_def_108,type,
'A_TESL_atomic_list_nat_fun_list$': $tType ).
tff(type_def_109,type,
'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$': $tType ).
tff(type_def_110,type,
'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$': $tType ).
tff(type_def_111,type,
'A_TESL_atomic_a_TESL_atomic_prod$': $tType ).
tff(type_def_112,type,
'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$': $tType ).
tff(func_def_0,type,
'fun_app$y': ( 'Nat_list_a_constr_list_list_bool_fun_fun$' * 'Nat_list$' ) > 'A_constr_list_list_bool_fun$' ).
tff(func_def_1,type,
'nth$': ( 'A_constr_list_list$' * 'Nat$' ) > 'A_constr_list$' ).
tff(func_def_2,type,
'cons$k': ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$' ).
tff(func_def_3,type,
'take$': 'Nat$' > 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_4,type,
'pair$': ( 'A_constr_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ).
tff(func_def_5,type,
'cons$m': ( 'Nat_a_constr_list_prod$' * 'Nat_a_constr_list_prod_list$' ) > 'Nat_a_constr_list_prod_list$' ).
tff(func_def_6,type,
'nth$e': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic$' ).
tff(func_def_7,type,
'fun_app$aa': ( 'Nat_list_a_TESL_atomic_list_list_bool_fun_fun$' * 'Nat_list$' ) > 'A_TESL_atomic_list_list_bool_fun$' ).
tff(func_def_8,type,
'lexord$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_9,type,
'size$': 'A_TESL_atomic_list_nat_fun$' ).
tff(func_def_10,type,
'gen_length$a': ( 'Nat$' * 'A_constr_list_list$' ) > 'Nat$' ).
tff(func_def_11,type,
'uuc$': 'A_TESL_atomic_list_set$' > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_12,type,
'lenlex$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_13,type,
'collect$c': 'A_TESL_atomic_list_bool_fun$' > 'A_TESL_atomic_list_set$' ).
tff(func_def_14,type,
'pair$v': ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'Nat_a_TESL_atomic_list_prod$' ).
tff(func_def_15,type,
'inf$d': ( 'A_TESL_atomic_list_set$' * 'A_TESL_atomic_list_set$' ) > 'A_TESL_atomic_list_set$' ).
tff(func_def_16,type,
'set$b': 'A_constr_list$' > 'A_constr_set$' ).
tff(func_def_17,type,
'cons$o': ( 'Nat_nat_prod$' * 'Nat_nat_prod_list$' ) > 'Nat_nat_prod_list$' ).
tff(func_def_18,type,
'fun_app$u': ( 'Nat_list_a_TESL_atomic_list_bool_fun_fun$' * 'Nat_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_19,type,
'size$e': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' > 'Nat$' ).
tff(func_def_20,type,
'fun_app$aj': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_21,type,
'strictlyPrecedes$': ( 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_22,type,
'pair$a': ( 'Nat$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_23,type,
'set$': 'A_TESL_atomic_list_list$' > 'A_TESL_atomic_list_set$' ).
tff(func_def_24,type,
'nth$c': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$' ).
tff(func_def_25,type,
'collect$b': 'A_TESL_atomic_bool_fun$' > 'A_TESL_atomic_set$' ).
tff(func_def_26,type,
'listrel$c': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_27,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$' ).
tff(func_def_28,type,
'pair$z': ( 'A_TESL_atomic$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_a_TESL_atomic_prod$' ).
tff(func_def_29,type,
'size$d': 'Nat_list$' > 'Nat$' ).
tff(func_def_30,type,
'fun_app$s': ( 'Nat_list_nat_list_bool_fun_fun$' * 'Nat_list$' ) > 'Nat_list_bool_fun$' ).
tff(func_def_31,type,
'fun_app$g': ( 'A_run_set_a_run_set_a_run_set_fun_fun$' * 'A_run_set$' ) > 'A_run_set_a_run_set_fun$' ).
tff(func_def_32,type,
'fun_app$ag': ( 'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'A_TESL_atomic_list_nat_fun_list$' ).
tff(func_def_33,type,
'pair$y': ( 'A_constr_list_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' ).
tff(func_def_34,type,
'heronConf_interpretation$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_run_set$' ).
tff(func_def_35,type,
'cons$f': ( 'Nat_a_TESL_atomic_prod_list$' * 'Nat_a_TESL_atomic_prod_list_list$' ) > 'Nat_a_TESL_atomic_prod_list_list$' ).
tff(func_def_36,type,
'nil$j': 'A_TESL_atomic_list_nat_fun_list_list$' ).
tff(func_def_37,type,
'pair$k': ( 'Nat_nat_bool_fun_fun$' * 'Nat_list$' ) > 'Nat_nat_bool_fun_fun_nat_list_prod$' ).
tff(func_def_38,type,
'gen_length$': ( 'Nat$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat$' ).
tff(func_def_39,type,
'cons$q': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).
tff(func_def_40,type,
'nil$m': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ).
tff(func_def_41,type,
'cons$g': ( 'A_constr_list_list$' * 'A_constr_list_list_list$' ) > 'A_constr_list_list_list$' ).
tff(func_def_42,type,
'gen_length$d': ( 'Nat$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'Nat$' ).
tff(func_def_43,type,
'n$': 'Nat$' ).
tff(func_def_44,type,
'size$b': 'A_constr_list_list$' > 'Nat$' ).
tff(func_def_45,type,
'nil$e': 'Nat_a_TESL_atomic_prod_list_list$' ).
tff(func_def_46,type,
'pair$w': ( 'Nat$' * 'Nat$' ) > 'Nat_nat_prod$' ).
tff(func_def_47,type,
'fun_app$ab': ( 'A_TESL_atomic_list_a_constr_list_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_constr_list_list_bool_fun$' ).
tff(func_def_48,type,
'pair$i': ( 'A_constr_list_a_constr_list_bool_fun_fun$' * 'A_constr_list_list$' ) > 'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$' ).
tff(func_def_49,type,
'nth$a': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' * 'Nat$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_50,type,
'succ$': ( 'A_TESL_atomic_list_set$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_set$' ).
tff(func_def_51,type,
'fun_app$t': ( 'A_TESL_atomic_list_nat_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'Nat_list_bool_fun$' ).
tff(func_def_52,type,
'pair$r': ( 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' * 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_fun_a_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_prod$' ).
tff(func_def_53,type,
'enumerate$a': ( 'Nat$' * 'A_constr_list_list$' ) > 'Nat_a_constr_list_prod_list$' ).
tff(func_def_54,type,
'nil$g': 'A_constr_list_list_list$' ).
tff(func_def_55,type,
'pair$x': ( 'Nat$' * 'A_TESL_atomic_list_nat_fun$' ) > 'Nat_a_TESL_atomic_list_nat_fun_prod$' ).
tff(func_def_56,type,
'k_2$': 'Clock$' ).
tff(func_def_57,type,
'shift$': ( 'A_TESL_atomic_list_set$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list_set$' ).
tff(func_def_58,type,
'sporadicOn$': ( 'Clock$' * 'A_tag_const$' * 'Clock$' ) > 'A_TESL_atomic$' ).
tff(func_def_59,type,
'fun_app$w': ( 'A_TESL_atomic_list_list_nat_list_bool_fun_fun$' * 'A_TESL_atomic_list_list$' ) > 'Nat_list_bool_fun$' ).
tff(func_def_60,type,
'operational_semantics_step$': '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_61,type,
'cons$c': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).
tff(func_def_62,type,
'pair$p': ( 'Nat_list$' * 'Nat_list$' ) > 'Nat_list_nat_list_prod$' ).
tff(func_def_63,type,
'pair$q': ( 'A_TESL_atomic_list_nat_fun_list$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$' ).
tff(func_def_64,type,
'gen_length$e': 'Nat$' > 'A_TESL_atomic_list_nat_fun$' ).
tff(func_def_65,type,
'fun_app$f': ( 'A_run_set_a_run_set_fun$' * 'A_run_set$' ) > 'A_run_set$' ).
tff(func_def_66,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_67,type,
'operational_semantics_intro$': '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_68,type,
'size$a': 'A_TESL_atomic_list_list$' > 'Nat$' ).
tff(func_def_69,type,
'accp$': '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_70,type,
'set$a': 'A_TESL_atomic_list$' > 'A_TESL_atomic_set$' ).
tff(func_def_71,type,
'pair$e': ( 'Nat$' * 'A_TESL_atomic$' ) > 'Nat_a_TESL_atomic_prod$' ).
tff(func_def_72,type,
'times$': 'Int_int_int_fun_fun$' ).
tff(func_def_73,type,
'fun_app$k': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_74,type,
'inf$': 'A_run_set_a_run_set_a_run_set_fun_fun$' ).
tff(func_def_75,type,
'nil$d': 'A_TESL_atomic_list_nat_fun_list$' ).
tff(func_def_76,type,
'enumerate$d': ( 'Nat$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'Nat_a_TESL_atomic_list_nat_fun_prod_list$' ).
tff(func_def_77,type,
'inf$e': 'Int_int_int_fun_fun$' ).
tff(func_def_78,type,
'nil$': 'A_TESL_atomic_list$' ).
tff(func_def_79,type,
'lexord$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).
tff(func_def_80,type,
'nil$f': 'Nat_a_TESL_atomic_prod_list$' ).
tff(func_def_81,type,
'collect$': 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$' > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ).
tff(func_def_82,type,
'tESL_interpretation_atomic_stepwise$': ( 'A_TESL_atomic$' * 'Nat$' ) > 'A_run_set$' ).
tff(func_def_83,type,
'lex$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).
tff(func_def_84,type,
'fun_app$j': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_85,type,
'nil$h': 'A_TESL_atomic_list_list_list$' ).
tff(func_def_86,type,
'enumerate$c': ( 'Nat$' * 'Nat_list$' ) > 'Nat_nat_prod_list$' ).
tff(func_def_87,type,
'pair$o': ( 'A_constr_list_list$' * 'A_constr_list_list$' ) > 'A_constr_list_list_a_constr_list_list_prod$' ).
tff(func_def_88,type,
'cons$b': ( 'A_constr_list$' * 'A_constr_list_list$' ) > 'A_constr_list_list$' ).
tff(func_def_89,type,
'pair$d': ( 'Nat_list$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' ).
tff(func_def_90,type,
'uud$': 'A_run_set$' > 'A_run_bool_fun$' ).
tff(func_def_91,type,
'size$c': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' > 'Nat$' ).
tff(func_def_92,type,
'cons$l': ( 'Nat_nat_a_TESL_atomic_prod_prod$' * 'Nat_nat_a_TESL_atomic_prod_prod_list$' ) > 'Nat_nat_a_TESL_atomic_prod_prod_list$' ).
tff(func_def_93,type,
'the_elem$': 'A_TESL_atomic_set$' > 'A_TESL_atomic$' ).
tff(func_def_94,type,
'nil$a': 'A_constr_list_list$' ).
tff(func_def_95,type,
'psi$': 'A_TESL_atomic_list$' ).
tff(func_def_96,type,
'uub$': 'A_TESL_atomic_set$' > 'A_TESL_atomic_bool_fun$' ).
tff(func_def_97,type,
'nil$i': 'Nat_list_list$' ).
tff(func_def_98,type,
'gamma$': 'A_constr_list$' ).
tff(func_def_99,type,
'insert$': 'A_TESL_atomic_list_nat_fun$' > 'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$' ).
tff(func_def_100,type,
'fun_app$q': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_bool_fun$' ).
tff(func_def_101,type,
'pair$b': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_102,type,
'last$': 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_103,type,
'fun_app$af': ( 'A_TESL_atomic_list_nat_fun$' * 'A_TESL_atomic_list$' ) > 'Nat$' ).
tff(func_def_104,type,
'inf$b': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ).
tff(func_def_105,type,
'fun_app$v': ( 'A_constr_list_list_nat_list_bool_fun_fun$' * 'A_constr_list_list$' ) > 'Nat_list_bool_fun$' ).
tff(func_def_106,type,
'enumerate$': ( 'Nat$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_nat_a_TESL_atomic_prod_prod_list$' ).
tff(func_def_107,type,
'insert$a': 'A_TESL_atomic$' > 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_108,type,
'listrel$': 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' > 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$' ).
tff(func_def_109,type,
'listrel$a': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ).
tff(func_def_110,type,
'fun_app$ah': ( 'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' ).
tff(func_def_111,type,
'nth$b': 'Nat_list$' > 'Nat_nat_fun$' ).
tff(func_def_112,type,
'butlast$': 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_113,type,
'lenlex$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).
tff(func_def_114,type,
'pair$f': ( 'A_TESL_atomic_a_TESL_atomic_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ).
tff(func_def_115,type,
'fun_app$ac': ( 'A_TESL_atomic_list_a_TESL_atomic_list_list_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_list_bool_fun$' ).
tff(func_def_116,type,
'rotate1$': 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_117,type,
'enumerate$b': ( 'Nat$' * 'A_TESL_atomic_list_list$' ) > 'Nat_a_TESL_atomic_list_prod_list$' ).
tff(func_def_118,type,
'lex$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_119,type,
'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_120,type,
'pair$m': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_TESL_atomic_list_nat_prod$' ).
tff(func_def_121,type,
'cons$r': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).
tff(func_def_122,type,
'enumerate$f': ( 'Nat$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).
tff(func_def_123,type,
'cons$': 'A_TESL_atomic$' > 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_124,type,
'collect$d': 'A_run_bool_fun$' > 'A_run_set$' ).
tff(func_def_125,type,
'nth$d': ( 'A_TESL_atomic_list_list$' * 'Nat$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_126,type,
'listrel1$a': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_127,type,
'nil$b': 'A_TESL_atomic_list_list$' ).
tff(func_def_128,type,
'listrel$b': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).
tff(func_def_129,type,
'pair$j': ( 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$' ).
tff(func_def_130,type,
'cons$d': ( 'Nat$' * 'Nat_list$' ) > 'Nat_list$' ).
tff(func_def_131,type,
'pair$h': ( 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$' ).
tff(func_def_132,type,
'uu$': 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$' ).
tff(func_def_133,type,
'cons$a': ( 'Nat_a_TESL_atomic_prod$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_a_TESL_atomic_prod_list$' ).
tff(func_def_134,type,
'pair$c': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' ).
tff(func_def_135,type,
'pair$s': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$' * 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_prod$' ).
tff(func_def_136,type,
'pair$l': ( 'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$' ).
tff(func_def_137,type,
'measures$': 'A_TESL_atomic_list_nat_fun_list$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ).
tff(func_def_138,type,
'nil$k': 'A_constr_list$' ).
tff(func_def_139,type,
'nat$': $int > 'Nat$' ).
tff(func_def_140,type,
'nil$l': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$' ).
tff(func_def_141,type,
'uua$': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' ).
tff(func_def_142,type,
'cons$j': ( 'A_TESL_atomic_list_nat_fun_list$' * 'A_TESL_atomic_list_nat_fun_list_list$' ) > 'A_TESL_atomic_list_nat_fun_list_list$' ).
tff(func_def_143,type,
'cons$h': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list_list$' ) > 'A_TESL_atomic_list_list_list$' ).
tff(func_def_144,type,
'cons$e': ( 'A_TESL_atomic_list_nat_fun$' * 'A_TESL_atomic_list_nat_fun_list$' ) > 'A_TESL_atomic_list_nat_fun_list$' ).
tff(func_def_145,type,
'append$a': ( 'A_TESL_atomic_list_list$' * 'A_TESL_atomic_list_list$' ) > 'A_TESL_atomic_list_list$' ).
tff(func_def_146,type,
'subseqs$': 'A_TESL_atomic_list$' > 'A_TESL_atomic_list_list$' ).
tff(func_def_147,type,
'append$': 'A_TESL_atomic_list$' > 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' ).
tff(func_def_148,type,
'gen_length$c': ( 'Nat$' * 'Nat_list$' ) > 'Nat$' ).
tff(func_def_149,type,
'pair$n': ( 'Nat_a_TESL_atomic_prod_list$' * 'Nat_a_TESL_atomic_prod_list$' ) > 'Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$' ).
tff(func_def_150,type,
'nil$c': 'Nat_list$' ).
tff(func_def_151,type,
'listrel1$': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ).
tff(func_def_152,type,
'append$b': ( 'A_constr_list$' * 'A_constr_list$' ) > 'A_constr_list$' ).
tff(func_def_153,type,
'pair$g': ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ).
tff(func_def_154,type,
'tESL_interpretation_stepwise$': ( 'A_TESL_atomic_list$' * 'Nat$' ) > 'A_run_set$' ).
tff(func_def_155,type,
'gen_length$b': ( 'Nat$' * 'A_TESL_atomic_list_list$' ) > 'Nat$' ).
tff(func_def_156,type,
'cons$p': ( 'Nat_a_TESL_atomic_list_nat_fun_prod$' * 'Nat_a_TESL_atomic_list_nat_fun_prod_list$' ) > 'Nat_a_TESL_atomic_list_nat_fun_prod_list$' ).
tff(func_def_157,type,
'fun_app$ak': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_158,type,
'pair$t': ( 'Nat$' * 'Nat_a_TESL_atomic_prod$' ) > 'Nat_nat_a_TESL_atomic_prod_prod$' ).
tff(func_def_159,type,
'cons$i': ( 'Nat_list$' * 'Nat_list_list$' ) > 'Nat_list_list$' ).
tff(func_def_160,type,
'k_1$': 'Clock$' ).
tff(func_def_161,type,
'fun_app$e': ( 'A_TESL_atomic_list_a_TESL_atomic_list_fun$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_162,type,
'collect$a': 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ).
tff(func_def_163,type,
'fun_app$al': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$' * 'Nat$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_164,type,
'phi$': 'A_TESL_atomic_list$' ).
tff(func_def_165,type,
'pair$u': ( 'Nat$' * 'A_constr_list$' ) > 'Nat_a_constr_list_prod$' ).
tff(func_def_166,type,
'enumerate$e': ( 'Nat$' * 'A_TESL_atomic_list$' ) > 'Nat_a_TESL_atomic_prod_list$' ).
tff(func_def_167,type,
'inf$c': ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > 'A_TESL_atomic_set$' ).
tff(func_def_168,type,
'inf$a': ( 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' * 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ) > 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ).
tff(func_def_169,type,
'heronConf_interpretation_rel$': '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$' ).
tff(func_def_170,type,
'cons$n': ( 'Nat_a_TESL_atomic_list_prod$' * 'Nat_a_TESL_atomic_list_prod_list$' ) > 'Nat_a_TESL_atomic_list_prod_list$' ).
tff(func_def_171,type,
'symbolic_run_interpretation$': 'A_constr_list$' > 'A_run_set$' ).
tff(func_def_176,type,
sK0: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_177,type,
sK1: '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_178,type,
sK2: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_179,type,
sK3: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_180,type,
sK4: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_181,type,
sK5: 'Nat$' > 'Nat$' ).
tff(func_def_182,type,
sK6: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_183,type,
sK7: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_184,type,
sK8: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_185,type,
sK9: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_186,type,
sK10: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_187,type,
sK11: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_188,type,
sK12: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_189,type,
sK13: '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_190,type,
sK14: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_191,type,
sK15: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_192,type,
sK16: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ).
tff(func_def_193,type,
sK17: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_194,type,
sK18: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_195,type,
sK19: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_196,type,
sK20: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_197,type,
sK21: '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_198,type,
sK22: 'Nat$' > 'Nat$' ).
tff(func_def_199,type,
sK23: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_200,type,
sK24: 'Nat$' > 'Nat$' ).
tff(func_def_201,type,
sK25: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_202,type,
sK26: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_203,type,
sK27: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_204,type,
sK28: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_205,type,
sK29: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_206,type,
sK30: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_207,type,
sK31: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_208,type,
sK32: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_209,type,
sK33: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_210,type,
sK34: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_211,type,
sK35: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_212,type,
sK36: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_constr_list$' ).
tff(func_def_213,type,
sK37: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_214,type,
sK38: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'Nat$' ).
tff(func_def_215,type,
sK39: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_216,type,
sK40: 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_217,type,
sK41: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_218,type,
sK42: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' * 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_219,type,
sK43: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_220,type,
sK44: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_221,type,
sK45: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_222,type,
sK46: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_223,type,
sK47: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_224,type,
sK48: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_225,type,
sK49: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_226,type,
sK50: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_227,type,
sK51: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_228,type,
sK52: 'A_TESL_atomic_list$' > 'A_TESL_atomic$' ).
tff(func_def_229,type,
sK53: 'A_TESL_atomic_list$' > 'A_TESL_atomic_list$' ).
tff(func_def_230,type,
sK54: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_constr_list$' ).
tff(func_def_231,type,
sK55: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'Nat$' ).
tff(func_def_232,type,
sK56: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_233,type,
sK57: ( 'A_run_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > 'A_TESL_atomic_list$' ).
tff(func_def_234,type,
sK58: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_235,type,
sK59: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_236,type,
sK60: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic$' ).
tff(func_def_237,type,
sK61: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_238,type,
sK62: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(func_def_239,type,
sK63: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' > 'A_TESL_atomic_list$' ).
tff(pred_def_1,type,
'fun_app$z': ( 'A_TESL_atomic_list_list_bool_fun$' * 'A_TESL_atomic_list_list$' ) > $o ).
tff(pred_def_2,type,
'less$': ( 'A_run_set$' * 'A_run_set$' ) > $o ).
tff(pred_def_3,type,
'member$j': ( 'A_constr$' * 'A_constr_set$' ) > $o ).
tff(pred_def_4,type,
'fun_app$o': ( 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$' ) > $o ).
tff(pred_def_5,type,
'member$d': ( 'A_run$' * 'A_run_set$' ) > $o ).
tff(pred_def_6,type,
'member$c': ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list_set$' ) > $o ).
tff(pred_def_7,type,
'fun_app$c': ( 'A_TESL_atomic_list_bool_fun$' * 'A_TESL_atomic_list$' ) > $o ).
tff(pred_def_8,type,
'member$f': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).
tff(pred_def_9,type,
'less_eq$': ( 'A_run_set$' * 'A_run_set$' ) > $o ).
tff(pred_def_10,type,
'irrefl$a': 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' > $o ).
tff(pred_def_11,type,
'member$e': ( 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$' * 'A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$' ) > $o ).
tff(pred_def_12,type,
'member$': ( 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' * 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$' ) > $o ).
tff(pred_def_13,type,
'fun_app$': ( 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$' * 'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$' ) > $o ).
tff(pred_def_14,type,
'fun_app$a': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).
tff(pred_def_15,type,
'fun_app$m': ( 'Nat_a_TESL_atomic_prod_bool_fun$' * 'Nat_a_TESL_atomic_prod$' ) > $o ).
tff(pred_def_16,type,
'fun_app$x': ( 'A_constr_list_list_bool_fun$' * 'A_constr_list_list$' ) > $o ).
tff(pred_def_17,type,
'fun_app$ae': ( 'A_TESL_atomic_list_nat_fun_list_bool_fun$' * 'A_TESL_atomic_list_nat_fun_list$' ) > $o ).
tff(pred_def_18,type,
'fun_app$d': ( 'A_run_bool_fun$' * 'A_run$' ) > $o ).
tff(pred_def_19,type,
'less_eq$a': ( 'A_TESL_atomic_set$' * 'A_TESL_atomic_set$' ) > $o ).
tff(pred_def_20,type,
'fun_app$r': ( 'Nat_list_bool_fun$' * 'Nat_list$' ) > $o ).
tff(pred_def_21,type,
'fun_app$l': ( 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_bool_fun$' * 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' ) > $o ).
tff(pred_def_22,type,
'irrefl$': 'A_TESL_atomic_a_TESL_atomic_prod_set$' > $o ).
tff(pred_def_23,type,
'less_eq$e': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).
tff(pred_def_24,type,
'fun_app$n': ( 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$' * 'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > $o ).
tff(pred_def_25,type,
'fun_app$ad': ( 'Nat_a_TESL_atomic_prod_list_bool_fun$' * 'Nat_a_TESL_atomic_prod_list$' ) > $o ).
tff(pred_def_26,type,
'less_eq$b': ( 'A_constr_set$' * 'A_constr_set$' ) > $o ).
tff(pred_def_27,type,
'fun_app$b': ( 'A_TESL_atomic_bool_fun$' * 'A_TESL_atomic$' ) > $o ).
tff(pred_def_28,type,
'fun_app$i': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' ) > $o ).
tff(pred_def_29,type,
'member$g': ( 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$' * 'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$' ) > $o ).
tff(pred_def_30,type,
'less_eq$d': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).
tff(pred_def_31,type,
'fun_app$p': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > $o ).
tff(pred_def_32,type,
'fun_app$ai': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_33,type,
'member$a': ( 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$' ) > $o ).
tff(pred_def_34,type,
'member$b': ( 'A_TESL_atomic$' * 'A_TESL_atomic_set$' ) > $o ).
tff(pred_def_35,type,
'less_eq$c': ( 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' * 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$' ) > $o ).
tff(pred_def_36,type,
'member$i': ( 'A_TESL_atomic_a_TESL_atomic_prod$' * 'A_TESL_atomic_a_TESL_atomic_prod_set$' ) > $o ).
tff(pred_def_37,type,
'member$h': ( 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$' ) > $o ).
tff(f6,conjecture,
'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$h'('of_nat$','n$'),1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture5) ).
tff(f7,negated_conjecture,
( ( ~ 'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) ) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$h'('of_nat$','n$'),1)))) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f10,axiom,
! [X2: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$',X3: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X0,'pair$a'(X1,'pair$b'(X2,X3)))) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X0)),'tESL_interpretation_stepwise$'(X2,X1))),'tESL_interpretation_stepwise$'(X3,'nat$'($sum('fun_app$h'('of_nat$',X1),1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(f707,plain,
'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) != 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$h'('of_nat$','n$'),1)))),
inference(flattening,[],[f7]) ).
tff(f753,plain,
! [X1: 'A_constr_list$',X2: 'Nat$',X3: 'A_TESL_atomic_list$',X0: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X1,'pair$a'(X2,'pair$b'(X0,X3)))) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X1)),'tESL_interpretation_stepwise$'(X0,X2))),'tESL_interpretation_stepwise$'(X3,'nat$'($sum('fun_app$h'('of_nat$',X2),1)))) ),
inference(rectify,[],[f10]) ).
tff(f1017,plain,
! [X0: 'A_constr_list$',X1: 'Nat$',X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$'] : ( 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X0)),'tESL_interpretation_stepwise$'(X3,X1))),'tESL_interpretation_stepwise$'(X2,'nat$'($sum('fun_app$h'('of_nat$',X1),1)))) = 'heronConf_interpretation$'('pair$'(X0,'pair$a'(X1,'pair$b'(X3,X2)))) ),
inference(rectify,[],[f753]) ).
tff(f1167,plain,
'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) != 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$h'('of_nat$','n$'),1)))),
inference(cnf_transformation,[],[f707]) ).
tff(f1209,plain,
! [X2: 'A_TESL_atomic_list$',X3: 'A_TESL_atomic_list$',X0: 'A_constr_list$',X1: 'Nat$'] : ( 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X0)),'tESL_interpretation_stepwise$'(X3,X1))),'tESL_interpretation_stepwise$'(X2,'nat$'($sum('fun_app$h'('of_nat$',X1),1)))) = 'heronConf_interpretation$'('pair$'(X0,'pair$a'(X1,'pair$b'(X3,X2)))) ),
inference(cnf_transformation,[],[f1017]) ).
tff(f1315,plain,
$false,
inference(forward_subsumption_resolution,[],[f1167,f1209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP411_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n001.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 13:03:31 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.09/1.41 % (3553490)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.09/1.41 % (3553606)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4056191124:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.09/1.41 % (3553605)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=822388549:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.09/1.41 % (3553605)Instruction limit reached!
% 3.09/1.41 % (3553605)------------------------------
% 3.09/1.41 % (3553605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.41 % (3553605)CaDiCaL version: 2.1.3
% 3.09/1.41 % (3553605)Termination reason: Instruction limit
% 3.09/1.41 % (3553605)Termination phase: Property scanning
% 3.09/1.41 % (3553605)Time elapsed: 0.008 s
% 3.09/1.41 % (3553605)Peak memory usage: 86 MB
% 3.09/1.41 % (3553605)Instructions burned: 13 (million)
% 3.09/1.41 % (3553611)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=269727121:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.09/1.41 % (3553608)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3902337676:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.09/1.41 % (3553609)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2079441334:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.09/1.41 % (3553607)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=612260499:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.09/1.41 % (3553610)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3826290581:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.09/1.41 % (3553609)Instruction limit reached!
% 3.09/1.41 % (3553609)------------------------------
% 3.09/1.41 % (3553609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.41 % (3553609)CaDiCaL version: 2.1.3
% 3.09/1.41 % (3553609)Termination reason: Instruction limit
% 3.09/1.41 % (3553609)Termination phase: Property scanning
% 3.09/1.41 % (3553609)Time elapsed: 0.004 s
% 3.09/1.41 % (3553609)Peak memory usage: 86 MB
% 3.09/1.41 % (3553609)Instructions burned: 6 (million)
% 3.09/1.41 % (3553608)Instruction limit reached!
% 3.09/1.41 % (3553608)------------------------------
% 3.09/1.41 % (3553608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.41 % (3553608)CaDiCaL version: 2.1.3
% 3.09/1.41 % (3553608)Termination reason: Instruction limit
% 3.09/1.41 % (3553608)Termination phase: Property scanning
% 3.09/1.41 % (3553608)Time elapsed: 0.005 s
% 3.09/1.41 % (3553608)Peak memory usage: 86 MB
% 3.09/1.41 % (3553608)Instructions burned: 9 (million)
% 3.09/1.41 % (3553611)Instruction limit reached!
% 3.09/1.41 % (3553611)------------------------------
% 3.09/1.41 % (3553611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.41 % (3553611)CaDiCaL version: 2.1.3
% 3.09/1.41 % (3553611)Termination reason: Instruction limit
% 3.09/1.41 % (3553611)Termination phase: Preprocessing 3
% 3.09/1.41 % (3553611)Time elapsed: 0.018 s
% 3.09/1.41 % (3553611)Peak memory usage: 88 MB
% 3.09/1.41 % (3553611)Instructions burned: 33 (million)
% 3.09/1.41 % (3553610)Instruction limit reached!
% 3.09/1.41 % (3553610)------------------------------
% 3.09/1.41 % (3553610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.41 % (3553610)CaDiCaL version: 2.1.3
% 3.09/1.41 % (3553610)Termination reason: Instruction limit
% 3.09/1.41 % (3553610)Termination phase: Property scanning
% 3.09/1.41 % (3553610)Time elapsed: 0.028 s
% 3.09/1.41 % (3553610)Peak memory usage: 89 MB
% 3.09/1.41 % (3553610)Instructions burned: 47 (million)
% 3.09/1.41 % (3553606)Instruction limit reached!
% 3.09/1.41 % (3553606)------------------------------
% 3.09/1.41 % (3553606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.41 % (3553606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.54 % (3553606)CaDiCaL version: 2.1.3
% 4.01/1.54 % (3553606)Termination reason: Instruction limit
% 4.01/1.54 % (3553606)Termination phase: Saturation
% 4.01/1.54 % (3553606)Time elapsed: 0.120 s
% 4.01/1.54 % (3553606)Peak memory usage: 120 MB
% 4.01/1.54 % (3553606)Instructions burned: 309 (million)
% 4.01/1.54 % (3553662)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2332443953:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.01/1.54 % (3553663)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3911044514:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.01/1.54 % (3553661)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3021505680:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.01/1.54 % (3553607)Instruction limit reached!
% 4.01/1.54 % (3553607)------------------------------
% 4.01/1.54 % (3553607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (3553607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (3553607)CaDiCaL version: 2.1.3
% 4.01/1.55 % (3553607)Termination reason: Instruction limit
% 4.01/1.55 % (3553607)Termination phase: Saturation
% 4.01/1.55 % (3553607)Time elapsed: 0.133 s
% 4.01/1.55 % (3553607)Peak memory usage: 115 MB
% 4.01/1.55 % (3553607)Instructions burned: 201 (million)
% 4.01/1.55 % (3553661)Instruction limit reached!
% 4.01/1.55 % (3553661)------------------------------
% 4.01/1.55 % (3553661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (3553661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (3553661)CaDiCaL version: 2.1.3
% 4.01/1.55 % (3553661)Termination reason: Instruction limit
% 4.01/1.55 % (3553661)Termination phase: SInE selection
% 4.01/1.55 % (3553661)Time elapsed: 0.008 s
% 4.01/1.55 % (3553661)Peak memory usage: 86 MB
% 4.01/1.55 % (3553661)Instructions burned: 14 (million)
% 4.01/1.55 % (3553663)Instruction limit reached!
% 4.01/1.55 % (3553663)------------------------------
% 4.01/1.55 % (3553663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (3553663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (3553663)CaDiCaL version: 2.1.3
% 4.01/1.55 % (3553663)Termination reason: Instruction limit
% 4.01/1.55 % (3553663)Termination phase: Preprocessing 1
% 4.01/1.55 % (3553663)Time elapsed: 0.010 s
% 4.01/1.55 % (3553663)Peak memory usage: 86 MB
% 4.01/1.55 % (3553663)Instructions burned: 16 (million)
% 4.01/1.55 % (3553662)Instruction limit reached!
% 4.01/1.55 % (3553662)------------------------------
% 4.01/1.55 % (3553662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (3553662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (3553662)CaDiCaL version: 2.1.3
% 4.01/1.55 % (3553662)Termination reason: Instruction limit
% 4.01/1.55 % (3553662)Termination phase: Preprocessing 3
% 4.01/1.55 % (3553662)Time elapsed: 0.018 s
% 4.01/1.55 % (3553662)Peak memory usage: 87 MB
% 4.01/1.55 % (3553662)Instructions burned: 29 (million)
% 4.01/1.55 % (3553664)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2471335666:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.01/1.55 % (3553666)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1352594847:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.01/1.55 % (3553665)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=252879467:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.01/1.55 % (3553664)Instruction limit reached!
% 4.01/1.55 % (3553664)------------------------------
% 4.01/1.55 % (3553664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.55 % (3553664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.55 % (3553664)CaDiCaL version: 2.1.3
% 4.01/1.55 % (3553664)Termination reason: Instruction limit
% 4.01/1.55 % (3553664)Termination phase: Preprocessing 1
% 4.01/1.55 % (3553664)Time elapsed: 0.014 s
% 4.01/1.55 % (3553664)Peak memory usage: 86 MB
% 4.01/1.55 % (3553664)Instructions burned: 24 (million)
% 4.01/1.55 % (3553665)Instruction limit reached!
% 4.01/1.55 % (3553665)------------------------------
% 4.52/1.64 % (3553665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553665)CaDiCaL version: 2.1.3
% 4.52/1.64 % (3553665)Termination reason: Instruction limit
% 4.52/1.64 % (3553665)Termination phase: Preprocessing 2
% 4.52/1.64 % (3553665)Time elapsed: 0.016 s
% 4.52/1.64 % (3553665)Peak memory usage: 87 MB
% 4.52/1.64 % (3553665)Instructions burned: 28 (million)
% 4.52/1.64 % (3553666)Instruction limit reached!
% 4.52/1.64 % (3553666)------------------------------
% 4.52/1.64 % (3553666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553666)CaDiCaL version: 2.1.3
% 4.52/1.64 % (3553666)Termination reason: Instruction limit
% 4.52/1.64 % (3553666)Termination phase: Property scanning
% 4.52/1.64 % (3553666)Time elapsed: 0.025 s
% 4.52/1.64 % (3553666)Peak memory usage: 89 MB
% 4.52/1.64 % (3553666)Instructions burned: 87 (million)
% 4.52/1.64 % (3553671)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2599455155:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.52/1.64 % (3553672)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=513403354:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.52/1.64 % (3553672)Instruction limit reached!
% 4.52/1.64 % (3553672)------------------------------
% 4.52/1.64 % (3553672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553672)CaDiCaL version: 2.1.3
% 4.52/1.64 % (3553672)Termination reason: Instruction limit
% 4.52/1.64 % (3553672)Termination phase: Property scanning
% 4.52/1.64 % (3553672)Time elapsed: 0.004 s
% 4.52/1.64 % (3553672)Peak memory usage: 86 MB
% 4.52/1.64 % (3553672)Instructions burned: 6 (million)
% 4.52/1.64 % (3553670)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3742410803:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.52/1.64 % (3553670)Instruction limit reached!
% 4.52/1.64 % (3553670)------------------------------
% 4.52/1.64 % (3553670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553670)CaDiCaL version: 2.1.3
% 4.52/1.64 % (3553670)Termination reason: Instruction limit
% 4.52/1.64 % (3553670)Termination phase: Property scanning
% 4.52/1.64 % (3553670)Time elapsed: 0.003 s
% 4.52/1.64 % (3553670)Peak memory usage: 86 MB
% 4.52/1.64 % (3553670)Instructions burned: 3 (million)
% 4.52/1.64 % (3553679)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1836656677:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 4.52/1.64 % (3553679)Instruction limit reached!
% 4.52/1.64 % (3553679)------------------------------
% 4.52/1.64 % (3553679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553679)CaDiCaL version: 2.1.3
% 4.52/1.64 % (3553679)Termination reason: Instruction limit
% 4.52/1.64 % (3553679)Termination phase: Property scanning
% 4.52/1.64 % (3553679)Time elapsed: 0.002 s
% 4.52/1.64 % (3553679)Peak memory usage: 86 MB
% 4.52/1.64 % (3553679)Instructions burned: 5 (million)
% 4.52/1.64 % (3553673)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2462750939:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.52/1.64 % (3553677)lrs+10_1_thi=all:si=on:fd=off:random_seed=1261570637:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.52/1.64 % (3553678)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2500249817:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.52/1.64 % (3553678)Instruction limit reached!
% 4.52/1.64 % (3553678)------------------------------
% 4.52/1.64 % (3553678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.64 % (3553678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.64 % (3553678)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553678)Termination reason: Instruction limit
% 5.53/1.91 % (3553678)Termination phase: shuffling
% 5.53/1.91 % (3553678)Time elapsed: 0.005 s
% 5.53/1.91 % (3553678)Peak memory usage: 85 MB
% 5.53/1.91 % (3553678)Instructions burned: 9 (million)
% 5.53/1.91 % (3553677)Instruction limit reached!
% 5.53/1.91 % (3553677)------------------------------
% 5.53/1.91 % (3553677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553677)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553677)Termination reason: Instruction limit
% 5.53/1.91 % (3553677)Termination phase: Preprocessing 3
% 5.53/1.91 % (3553677)Time elapsed: 0.029 s
% 5.53/1.91 % (3553677)Peak memory usage: 88 MB
% 5.53/1.91 % (3553677)Instructions burned: 53 (million)
% 5.53/1.91 % (3553673)Instruction limit reached!
% 5.53/1.91 % (3553673)------------------------------
% 5.53/1.91 % (3553673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553673)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553673)Termination reason: Instruction limit
% 5.53/1.91 % (3553673)Termination phase: Property scanning
% 5.53/1.91 % (3553673)Time elapsed: 0.039 s
% 5.53/1.91 % (3553673)Peak memory usage: 89 MB
% 5.53/1.91 % (3553673)Instructions burned: 68 (million)
% 5.53/1.91 % (3553686)dis+10_1_si=on:random_seed=1246482073:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 5.53/1.91 % (3553686)Instruction limit reached!
% 5.53/1.91 % (3553686)------------------------------
% 5.53/1.91 % (3553686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553686)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553686)Termination reason: Instruction limit
% 5.53/1.91 % (3553686)Termination phase: Property scanning
% 5.53/1.91 % (3553686)Time elapsed: 0.004 s
% 5.53/1.91 % (3553686)Peak memory usage: 86 MB
% 5.53/1.91 % (3553686)Instructions burned: 14 (million)
% 5.53/1.91 % (3553671)Instruction limit reached!
% 5.53/1.91 % (3553671)------------------------------
% 5.53/1.91 % (3553671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553671)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553671)Termination reason: Instruction limit
% 5.53/1.91 % (3553671)Termination phase: Saturation
% 5.53/1.91 % (3553671)Time elapsed: 0.124 s
% 5.53/1.91 % (3553671)Peak memory usage: 92 MB
% 5.53/1.91 % (3553671)Instructions burned: 181 (million)
% 5.53/1.91 % (3553683)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=902183211:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.53/1.91 % (3553683)Instruction limit reached!
% 5.53/1.91 % (3553683)------------------------------
% 5.53/1.91 % (3553683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553683)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553683)Termination reason: Instruction limit
% 5.53/1.91 % (3553683)Termination phase: Property scanning
% 5.53/1.91 % (3553683)Time elapsed: 0.003 s
% 5.53/1.91 % (3553683)Peak memory usage: 86 MB
% 5.53/1.91 % (3553683)Instructions burned: 3 (million)
% 5.53/1.91 % (3553685)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2954273565:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.53/1.91 % (3553690)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=438621344:i=26:canc=cautious:av=off:rtra=on_2995 on theBenchmark for (2995ds/26Mi)
% 5.53/1.91 % (3553691)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=344892510:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2995 on theBenchmark for (2995ds/35Mi)
% 5.53/1.91 % (3553690)Instruction limit reached!
% 5.53/1.91 % (3553690)------------------------------
% 5.53/1.91 % (3553690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.91 % (3553690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.91 % (3553690)CaDiCaL version: 2.1.3
% 5.53/1.91 % (3553690)Termination reason: Instruction limit
% 5.53/1.91 % (3553690)Termination phase: Preprocessing 1
% 5.53/1.91 % (3553690)Time elapsed: 0.015 s
% 5.53/1.99 % (3553690)Peak memory usage: 87 MB
% 5.53/1.99 % (3553690)Instructions burned: 26 (million)
% 5.53/1.99 % (3553694)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1248630447:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 5.53/1.99 % (3553694)Instruction limit reached!
% 5.53/1.99 % (3553694)------------------------------
% 5.53/1.99 % (3553694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553694)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553694)Termination reason: Instruction limit
% 5.53/1.99 % (3553694)Termination phase: Property scanning
% 5.53/1.99 % (3553694)Time elapsed: 0.003 s
% 5.53/1.99 % (3553694)Peak memory usage: 86 MB
% 5.53/1.99 % (3553694)Instructions burned: 10 (million)
% 5.53/1.99 % (3553692)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3507689163:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.53/1.99 % (3553692)Instruction limit reached!
% 5.53/1.99 % (3553692)------------------------------
% 5.53/1.99 % (3553692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553692)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553692)Termination reason: Instruction limit
% 5.53/1.99 % (3553692)Termination phase: shuffling
% 5.53/1.99 % (3553692)Time elapsed: 0.002 s
% 5.53/1.99 % (3553692)Peak memory usage: 85 MB
% 5.53/1.99 % (3553692)Instructions burned: 2 (million)
% 5.53/1.99 % (3553691)Instruction limit reached!
% 5.53/1.99 % (3553691)------------------------------
% 5.53/1.99 % (3553691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553691)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553691)Termination reason: Instruction limit
% 5.53/1.99 % (3553691)Termination phase: Preprocessing 3
% 5.53/1.99 % (3553691)Time elapsed: 0.022 s
% 5.53/1.99 % (3553691)Peak memory usage: 88 MB
% 5.53/1.99 % (3553691)Instructions burned: 36 (million)
% 5.53/1.99 % (3553685)Instruction limit reached!
% 5.53/1.99 % (3553685)------------------------------
% 5.53/1.99 % (3553685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553685)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553685)Termination reason: Instruction limit
% 5.53/1.99 % (3553685)Termination phase: Saturation
% 5.53/1.99 % (3553685)Time elapsed: 0.097 s
% 5.53/1.99 % (3553685)Peak memory usage: 115 MB
% 5.53/1.99 % (3553685)Instructions burned: 128 (million)
% 5.53/1.99 % (3553696)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2368772708:i=370:ep=RS:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/370Mi)
% 5.53/1.99 % (3553698)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2594943994:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2994 on theBenchmark for (2994ds/13Mi)
% 5.53/1.99 % (3553698)Instruction limit reached!
% 5.53/1.99 % (3553698)------------------------------
% 5.53/1.99 % (3553698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553698)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553698)Termination reason: Instruction limit
% 5.53/1.99 % (3553698)Termination phase: Property scanning
% 5.53/1.99 % (3553698)Time elapsed: 0.007 s
% 5.53/1.99 % (3553698)Peak memory usage: 85 MB
% 5.53/1.99 % (3553698)Instructions burned: 14 (million)
% 5.53/1.99 % (3553703)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=23922816:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 5.53/1.99 % (3553703)Instruction limit reached!
% 5.53/1.99 % (3553703)------------------------------
% 5.53/1.99 % (3553703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553703)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553703)Termination reason: Instruction limit
% 5.53/1.99 % (3553703)Termination phase: Property scanning
% 5.53/1.99 % (3553703)Time elapsed: 0.003 s
% 5.53/1.99 % (3553703)Peak memory usage: 86 MB
% 5.53/1.99 % (3553703)Instructions burned: 11 (million)
% 5.53/1.99 % (3553702)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=4260321525:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 5.53/1.99 % (3553705)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3066222913:i=71:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/71Mi)
% 5.53/1.99 % (3553706)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=123204643:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2993 on theBenchmark for (2993ds/75Mi)
% 5.53/1.99 % (3553707)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1856442087:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2993 on theBenchmark for (2993ds/294Mi)
% 5.53/1.99 % (3553702)First to succeed.
% 5.53/1.99 % (3553712)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2951711095:i=131:rtra=on_2992 on theBenchmark for (2992ds/131Mi)
% 5.53/1.99 % (3553702)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3553490"
% 5.53/1.99 % (3553696)Also succeeded, but the first one will report.
% 5.53/1.99 % (3553705)Instruction limit reached!
% 5.53/1.99 % (3553705)------------------------------
% 5.53/1.99 % (3553705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553705)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553705)Termination reason: Instruction limit
% 5.53/1.99 % (3553705)Termination phase: Property scanning
% 5.53/1.99 % (3553705)Time elapsed: 0.040 s
% 5.53/1.99 % (3553705)Peak memory usage: 89 MB
% 5.53/1.99 % (3553705)Instructions burned: 71 (million)
% 5.53/1.99 % (3553706)Instruction limit reached!
% 5.53/1.99 % (3553706)------------------------------
% 5.53/1.99 % (3553706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553706)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553706)Termination reason: Instruction limit
% 5.53/1.99 % (3553706)Termination phase: Property scanning
% 5.53/1.99 % (3553706)Time elapsed: 0.043 s
% 5.53/1.99 % (3553706)Peak memory usage: 89 MB
% 5.53/1.99 % (3553706)Instructions burned: 77 (million)
% 5.53/1.99 % (3553710)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2689709825:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 5.53/1.99 % (3553712)Also succeeded, but the first one will report.
% 5.53/1.99 % (3553710)Instruction limit reached!
% 5.53/1.99 % (3553710)------------------------------
% 5.53/1.99 % (3553710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553710)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553710)Termination reason: Instruction limit
% 5.53/1.99 % (3553710)Termination phase: Saturation
% 5.53/1.99 % (3553710)Time elapsed: 0.088 s
% 5.53/1.99 % (3553710)Peak memory usage: 115 MB
% 5.53/1.99 % (3553710)Instructions burned: 130 (million)
% 5.53/1.99 % (3553718)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2092768109:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/40Mi)
% 5.53/1.99 % (3553719)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2955648921:i=307:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/307Mi)
% 5.53/1.99 % (3553718)Instruction limit reached!
% 5.53/1.99 % (3553718)------------------------------
% 5.53/1.99 % (3553718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553718)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553718)Termination reason: Instruction limit
% 5.53/1.99 % (3553718)Termination phase: Preprocessing 1
% 5.53/1.99 % (3553718)Time elapsed: 0.018 s
% 5.53/1.99 % (3553718)Peak memory usage: 86 MB
% 5.53/1.99 % (3553718)Instructions burned: 40 (million)
% 5.53/1.99 % (3553707)Instruction limit reached!
% 5.53/1.99 % (3553707)------------------------------
% 5.53/1.99 % (3553707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.99 % (3553707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.99 % (3553707)CaDiCaL version: 2.1.3
% 5.53/1.99 % (3553707)Termination reason: Instruction limit
% 5.53/1.99 % (3553707)Termination phase: Saturation
% 5.53/1.99 % (3553707)Time elapsed: 0.195 s
% 5.53/1.99 % (3553707)Peak memory usage: 94 MB
% 5.53/1.99 % (3553707)Instructions burned: 294 (million)
% 5.53/1.99 % (3553721)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3921577374:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 5.53/1.99 % (3553702)Refutation found. Thanks to Tanya!
% 5.53/1.99 % SZS status Theorem for theBenchmark
% 5.53/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 7.95/2.17 % (3553702)------------------------------
% 7.95/2.17 % (3553702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.17 % (3553702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.17 % (3553702)CaDiCaL version: 2.1.3
% 7.95/2.17 % (3553702)Termination reason: Refutation
% 7.95/2.17 % (3553702)Time elapsed: 0.054 s
% 7.95/2.17 % (3553702)Peak memory usage: 114 MB
% 7.95/2.17 % (3553702)Instructions burned: 53 (million)
% 7.95/2.17 % (3553702)------------------------------
% 7.95/2.17 % (3553702)------------------------------
% 7.95/2.17 % (3553490)Success in time 1.063 s
% 7.95/2.17 % Vampire exiting
%------------------------------------------------------------------------------