%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP369_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:33:43 AM UTC 2026
% Result : Theorem 9.63s 4.21s
% Output : Refutation 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 12 unt; 0 typ; 4 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 160 ( 72 ~; 75 |; 3 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 163 ( 162 usr; 5 prp; 0-4 aty)
% Number of functors : 541 ( 541 usr; 32 con; 0-4 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Bool_a_ltln_set_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_set_bool_a_ltln_set_fun_fun$': $tType ).
tff(type_def_7,type,
'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$': $tType ).
tff(type_def_8,type,
'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun_fun$': $tType ).
tff(type_def_9,type,
'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$': $tType ).
tff(type_def_10,type,
tlbool: $tType ).
tff(type_def_11,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_12,type,
'A_ltln_set$': $tType ).
tff(type_def_13,type,
'Bool_a_ltln_set_fun_a_ltln_set_fun$': $tType ).
tff(type_def_14,type,
'A_ltln$': $tType ).
tff(type_def_15,type,
'A$': $tType ).
tff(type_def_16,type,
'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$': $tType ).
tff(type_def_17,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_18,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_19,type,
'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun$': $tType ).
tff(type_def_20,type,
'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_21,type,
'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_22,type,
'Bool_bool_a_ltln_set_fun_fun$': $tType ).
tff(type_def_23,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'fun_app$d': ( 'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun_fun$' * 'Bool_bool_a_ltln_set_fun_fun$' ) > 'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun$' ).
tff(func_def_1,type,
'restricted_subformulas_inner$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_2,type,
'fun_app$e': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_3,type,
'insert$': 'A_ltln$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_4,type,
'sup$b': 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' ).
tff(func_def_5,type,
'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_6,type,
'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_7,type,
'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_8,type,
'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_9,type,
'uu$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_10,type,
'chi_1$': 'A_ltln$' ).
tff(func_def_11,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_12,type,
'gF_singleton$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_13,type,
'prop_atoms$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_14,type,
'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_15,type,
'fun_app$a': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_16,type,
'chi$': 'A_ltln$' ).
tff(func_def_17,type,
'fun_app$l': ( 'A_ltln_set_bool_a_ltln_set_fun_fun$' * 'A_ltln_set$' ) > 'Bool_a_ltln_set_fun$' ).
tff(func_def_18,type,
'is_mu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_19,type,
'mu_LTL$': 'A_ltln_set$' ).
tff(func_def_20,type,
'restricted_subformulas_inner_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_21,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_22,type,
'is_nu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_23,type,
'fun_app$g': ( 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' * 'Bool_a_ltln_set_fun$' ) > 'Bool_a_ltln_set_fun$' ).
tff(func_def_24,type,
def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_25,type,
'fun_app$c': ( 'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun$' * 'Bool_bool_a_ltln_set_fun_fun$' ) > 'Bool_bool_a_ltln_set_fun_fun$' ).
tff(func_def_26,type,
'fun_app$h': ( 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' * 'Bool_a_ltln_set_fun$' ) > 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' ).
tff(func_def_27,type,
'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_28,type,
'sup$a': 'Bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_bool_bool_a_ltln_set_fun_fun_fun_fun$' ).
tff(func_def_29,type,
'x$': 'A_ltln$' ).
tff(func_def_30,type,
'collect$': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_31,type,
'prop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_32,type,
tltrue: tlbool ).
tff(func_def_33,type,
'fun_app$k': ( 'Bool_a_ltln_set_fun_a_ltln_set_fun$' * 'Bool_a_ltln_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_34,type,
'accp$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
'restricted_subformulas$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_36,type,
'subfrmlsn_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_37,type,
'fun_app$b': ( 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_38,type,
'bot$c': 'Bool_a_ltln_set_fun$' ).
tff(func_def_39,type,
'psi$': 'A_ltln$' ).
tff(func_def_40,type,
'fun_app$j': ( 'Bool_bool_a_ltln_set_fun_fun$' * tlbool ) > 'Bool_a_ltln_set_fun$' ).
tff(func_def_41,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_42,type,
'nprop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_43,type,
'chi_2$': 'A_ltln$' ).
tff(func_def_44,type,
def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_45,type,
def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_46,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_47,type,
'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_48,type,
'restricted_subformulas_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_49,type,
'bot$a': 'A_ltln_bool_fun$' ).
tff(func_def_50,type,
'is_nu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_51,type,
'subformulas_mu_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_52,type,
'uminus$a': 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' ).
tff(func_def_53,type,
'subfrmlsn$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_54,type,
'sup$c': 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' ).
tff(func_def_55,type,
'g_singleton$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_56,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_57,type,
tlfalse: tlbool ).
tff(func_def_58,type,
'f_singleton$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_59,type,
def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_60,type,
'the_elem$': 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_61,type,
'prop_atoms_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_62,type,
'subformulas_nu_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_63,type,
'sup$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_64,type,
'bot$': 'A_ltln_set$' ).
tff(func_def_65,type,
'fun_app$i': ( 'Bool_a_ltln_set_fun$' * tlbool ) > 'A_ltln_set$' ).
tff(func_def_66,type,
'fun_app$f': ( 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_67,type,
'is_mu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_68,type,
'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_69,type,
'uminus$': 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_70,type,
'fG_singleton$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_71,type,
'phi$': 'A_ltln$' ).
tff(func_def_72,type,
'next_ltln$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_73,type,
'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_74,type,
sK142: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_75,type,
sK143: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_76,type,
sK144: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_77,type,
sK145: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_78,type,
sK146: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_79,type,
sK147: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_80,type,
sK148: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_81,type,
sK149: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_82,type,
sK150: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_83,type,
sK151: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_84,type,
sK152: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_85,type,
sK153: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_86,type,
sK154: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_87,type,
sK155: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_88,type,
sK156: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_89,type,
sK157: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_90,type,
sK158: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_91,type,
sK159: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_92,type,
sK160: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_93,type,
sK161: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_94,type,
sK162: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_95,type,
sK163: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_96,type,
sK164: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_97,type,
sK165: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_98,type,
sK166: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_99,type,
sK167: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_100,type,
sK168: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_101,type,
sK169: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_102,type,
sK170: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_103,type,
sK171: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_104,type,
sK172: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_105,type,
sK173: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_106,type,
sK174: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_107,type,
sK175: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_108,type,
sK176: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_109,type,
sK177: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_110,type,
sK178: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_111,type,
sK179: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_112,type,
sK180: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_113,type,
sK181: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_114,type,
sK182: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_115,type,
sK183: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_116,type,
sK184: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_117,type,
sK185: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_118,type,
sK186: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_119,type,
sK187: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_120,type,
sK188: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_121,type,
sK189: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_122,type,
sK190: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_123,type,
sK191: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_124,type,
sK192: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_125,type,
sK193: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_126,type,
sK194: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_127,type,
sK195: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_128,type,
sK196: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_129,type,
sK197: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_130,type,
sK198: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_131,type,
sK199: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_132,type,
sK200: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_133,type,
sK201: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_134,type,
sK202: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_135,type,
sK203: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_136,type,
sK204: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_137,type,
sK205: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_138,type,
sK206: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_139,type,
sK207: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_140,type,
sK208: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_141,type,
sK209: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_142,type,
sK210: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_143,type,
sK211: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_144,type,
sK212: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_145,type,
sK213: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_146,type,
sK214: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_147,type,
sK215: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_148,type,
sK216: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_149,type,
sK217: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_150,type,
sK218: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_151,type,
sK219: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_152,type,
sK220: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_153,type,
sK221: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_154,type,
sK222: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_155,type,
sK223: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_156,type,
sK224: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln$' ) > 'A_ltln_set$' ).
tff(func_def_157,type,
sK225: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_158,type,
sK226: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_159,type,
sK227: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_160,type,
sK228: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_161,type,
sK229: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_162,type,
sK230: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_163,type,
sK231: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_164,type,
sK232: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_165,type,
sK233: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_166,type,
sK234: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_167,type,
sK235: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_168,type,
sK236: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_169,type,
sK237: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_170,type,
sK238: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_171,type,
sK239: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_172,type,
sK240: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_173,type,
sK241: 'A_ltln$' ).
tff(func_def_174,type,
sK242: 'A_ltln$' ).
tff(func_def_175,type,
sK243: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_176,type,
sK244: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_177,type,
sK245: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_178,type,
sK246: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_179,type,
sK247: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_180,type,
sK248: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_181,type,
sK249: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_182,type,
sK250: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_183,type,
sK251: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_184,type,
sK252: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_185,type,
sK253: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_186,type,
sK254: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_187,type,
sK255: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_188,type,
sK256: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_189,type,
sK257: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_190,type,
sK258: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_191,type,
sK259: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_192,type,
sK260: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_193,type,
sK261: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_194,type,
sK262: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_195,type,
sK263: ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_196,type,
sK264: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_197,type,
sK265: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_198,type,
sK266: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_199,type,
sK267: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_200,type,
sK268: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_201,type,
sK269: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_202,type,
sK270: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_203,type,
sK271: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_204,type,
sK272: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_205,type,
sK273: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_206,type,
sK274: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_207,type,
sK275: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_208,type,
sK276: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_209,type,
sK277: 'A_ltln$' > 'A$' ).
tff(func_def_210,type,
sK278: 'A_ltln$' > 'A$' ).
tff(func_def_211,type,
sK279: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_212,type,
sK280: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_213,type,
sK281: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_214,type,
sK282: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_215,type,
sK283: 'A_ltln$' > 'A$' ).
tff(func_def_216,type,
sK284: 'A_ltln$' > 'A$' ).
tff(func_def_217,type,
sK285: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_218,type,
sK286: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_219,type,
sK287: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_220,type,
sK288: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_221,type,
sK289: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_222,type,
sK290: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_223,type,
sK291: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_224,type,
sK292: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_225,type,
sK293: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_226,type,
sK294: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_227,type,
sK295: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_228,type,
sK296: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_229,type,
sK297: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_230,type,
sK298: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_231,type,
sK299: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_232,type,
sK300: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_233,type,
sK301: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_234,type,
sK302: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_235,type,
sK303: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_236,type,
sK304: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_237,type,
sK305: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_238,type,
sK306: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_239,type,
sK307: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_240,type,
sK308: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_241,type,
sK309: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_242,type,
sK310: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_243,type,
sK311: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_244,type,
sK312: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_245,type,
sK313: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_246,type,
sK314: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_247,type,
sK315: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_248,type,
sK316: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_249,type,
sK317: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_250,type,
sK318: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_251,type,
sK319: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_252,type,
sK320: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_253,type,
sK321: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_254,type,
sK322: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_255,type,
sK323: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_256,type,
sK324: 'A_ltln$' > 'A$' ).
tff(func_def_257,type,
sK325: 'A_ltln$' > 'A$' ).
tff(func_def_258,type,
sK326: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_259,type,
sK327: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_260,type,
sK328: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_261,type,
sK329: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_262,type,
sK330: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_263,type,
sK331: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_264,type,
sK332: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_265,type,
sK333: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_266,type,
sK334: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_267,type,
sK335: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_268,type,
sK336: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_269,type,
sK337: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_270,type,
sK338: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_271,type,
sK339: 'A_ltln$' > 'A$' ).
tff(func_def_272,type,
sK340: 'A_ltln$' > 'A$' ).
tff(func_def_273,type,
sK341: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_274,type,
sK342: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_275,type,
sK343: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_276,type,
sK344: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_277,type,
sK345: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_278,type,
sK346: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_279,type,
sK347: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_280,type,
sK348: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_281,type,
sK349: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_282,type,
sK350: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_283,type,
sK351: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_284,type,
sK352: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_285,type,
sK353: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_286,type,
sK354: 'A_ltln$' > 'A$' ).
tff(func_def_287,type,
sK355: 'A_ltln$' > 'A$' ).
tff(func_def_288,type,
sK356: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_289,type,
sK357: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_290,type,
sK358: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_291,type,
sK359: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_292,type,
sK360: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_293,type,
sK361: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_294,type,
sK362: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_295,type,
sK363: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_296,type,
sK364: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_297,type,
sK365: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_298,type,
sK366: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_299,type,
sK367: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_300,type,
sK368: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_301,type,
sK369: 'A_ltln$' > 'A$' ).
tff(func_def_302,type,
sK370: 'A_ltln$' > 'A$' ).
tff(func_def_303,type,
sK371: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_304,type,
sK372: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_305,type,
sK373: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_306,type,
sK374: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_307,type,
sK375: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_308,type,
sK376: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_309,type,
sK377: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_310,type,
sK378: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_311,type,
sK379: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_312,type,
sK380: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_313,type,
sK381: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_314,type,
sK382: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_315,type,
sK383: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_316,type,
sK384: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_317,type,
sK385: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_318,type,
sK386: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_319,type,
sK387: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_320,type,
sK388: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_321,type,
sK389: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_322,type,
sK390: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_323,type,
sK391: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_324,type,
sK392: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_325,type,
sK393: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_326,type,
sK394: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_327,type,
sK395: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_328,type,
sK396: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_329,type,
sK397: 'A_ltln$' > 'A$' ).
tff(func_def_330,type,
sK398: 'A_ltln$' > 'A$' ).
tff(func_def_331,type,
sK399: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_332,type,
sK400: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_333,type,
sK401: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_334,type,
sK402: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_335,type,
sK403: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_336,type,
sK404: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_337,type,
sK405: 'A_ltln$' > 'A$' ).
tff(func_def_338,type,
sK406: 'A_ltln$' > 'A$' ).
tff(func_def_339,type,
sK407: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_340,type,
sK408: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_341,type,
sK409: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_342,type,
sK410: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_343,type,
sK411: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_344,type,
sK412: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_345,type,
sK413: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_346,type,
sK414: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_347,type,
sK415: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_348,type,
sK416: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_349,type,
sK417: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_350,type,
sK418: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_351,type,
sK419: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_352,type,
sK420: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_353,type,
sK421: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_354,type,
sK422: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_355,type,
sK423: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_356,type,
sK424: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_357,type,
sK425: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_358,type,
sK426: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_359,type,
sK427: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_360,type,
sK428: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_361,type,
sK429: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_362,type,
sK430: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_363,type,
sK431: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_364,type,
sK432: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_365,type,
sK433: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_366,type,
sK434: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_367,type,
sK435: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_368,type,
sK436: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_369,type,
sK437: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_370,type,
sK438: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_371,type,
sK439: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_372,type,
sK440: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_373,type,
sK441: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_374,type,
sK442: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_375,type,
sK443: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_376,type,
sK444: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_377,type,
sK445: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_378,type,
sK446: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_379,type,
sK447: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_380,type,
sK448: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_381,type,
sK449: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_382,type,
sK450: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_383,type,
sK451: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_384,type,
sK452: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_385,type,
sK453: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_386,type,
sK454: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_387,type,
sK455: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_388,type,
sK456: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_389,type,
sK457: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_390,type,
sK458: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_391,type,
sK459: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_392,type,
sK460: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_393,type,
sK461: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_394,type,
sK462: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_395,type,
sK463: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_396,type,
sK464: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_397,type,
sK465: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_398,type,
sK466: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_399,type,
sK467: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_400,type,
sK468: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_401,type,
sK469: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_402,type,
sK470: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_403,type,
sK471: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_404,type,
sK472: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_405,type,
sK473: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_406,type,
sK474: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_407,type,
sK475: 'A_ltln$' > 'A$' ).
tff(func_def_408,type,
sK476: 'A_ltln$' > 'A$' ).
tff(func_def_409,type,
sK477: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_410,type,
sK478: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_411,type,
sK479: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_412,type,
sK480: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_413,type,
sK481: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_414,type,
sK482: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_415,type,
sK483: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_416,type,
sK484: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_417,type,
sK485: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_418,type,
sK486: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_419,type,
sK487: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_420,type,
sK488: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_421,type,
sK489: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_422,type,
sK490: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_423,type,
sK491: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_424,type,
sK492: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_425,type,
sK493: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_426,type,
sK494: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_427,type,
sK495: 'A_ltln$' > 'A$' ).
tff(func_def_428,type,
sK496: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_429,type,
sK497: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_430,type,
sK498: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_431,type,
sK499: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_432,type,
sK500: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_433,type,
sK501: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_434,type,
sK502: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_435,type,
sK503: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_436,type,
sK504: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_437,type,
sK505: 'A_ltln$' > 'A$' ).
tff(func_def_438,type,
sK506: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_439,type,
sK507: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_440,type,
sK508: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_441,type,
sK509: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_442,type,
sK510: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_443,type,
sK511: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_444,type,
sK512: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_445,type,
sK513: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_446,type,
sK514: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_447,type,
sK515: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_448,type,
sK516: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_449,type,
sK517: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_450,type,
sK518: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_451,type,
sK519: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_452,type,
sK520: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_453,type,
sK521: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_454,type,
sK522: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_455,type,
sK523: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_456,type,
sK524: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_457,type,
sK525: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_458,type,
sK526: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_459,type,
sK527: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_460,type,
sK528: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_461,type,
sK529: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_462,type,
sK530: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_463,type,
sK531: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_464,type,
sK532: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_465,type,
sK533: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_466,type,
sK534: 'A_ltln$' > 'A$' ).
tff(func_def_467,type,
sK535: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_468,type,
sK536: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_469,type,
sK537: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_470,type,
sK538: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_471,type,
sK539: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_472,type,
sK540: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_473,type,
sK541: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_474,type,
sK542: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_475,type,
sK543: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_476,type,
sK544: 'A_ltln$' > 'A$' ).
tff(func_def_477,type,
sK545: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_478,type,
sK546: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_479,type,
sK547: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_480,type,
sK548: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_481,type,
sK549: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_482,type,
sK550: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_483,type,
sK551: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_484,type,
sK552: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_485,type,
sK553: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_486,type,
sK554: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_487,type,
sK555: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_488,type,
sK556: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_489,type,
sK557: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_490,type,
sK558: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_491,type,
sK559: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_492,type,
sK560: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_493,type,
sK561: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_494,type,
sK562: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_495,type,
sK563: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_496,type,
sK564: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_497,type,
sK565: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_498,type,
sK566: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_499,type,
sK567: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_500,type,
sK568: 'Bool_a_ltln_set_fun_bool_a_ltln_set_fun_bool_a_ltln_set_fun_fun_fun$' > 'Bool_a_ltln_set_fun$' ).
tff(func_def_501,type,
sK569: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_502,type,
sK570: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_503,type,
sK571: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_504,type,
sK572: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_505,type,
sK573: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_506,type,
sK574: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_507,type,
sK575: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_508,type,
sK576: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_509,type,
sK577: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_510,type,
sK578: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_511,type,
sK579: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_512,type,
sK580: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_513,type,
sK581: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_514,type,
sK582: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_515,type,
sK583: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_516,type,
sK584: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_517,type,
sK585: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_518,type,
sK586: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_519,type,
sK587: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_520,type,
sK588: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_521,type,
sK589: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_522,type,
sK590: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A$' ).
tff(func_def_523,type,
sK591: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_524,type,
sK592: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_525,type,
sK593: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_526,type,
sK594: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat_a_set_fun$' ).
tff(func_def_527,type,
sK595: ( 'Bool_a_ltln_set_fun$' * 'Bool_a_ltln_set_fun$' ) > tlbool ).
tff(func_def_528,type,
sK596: ( 'Bool_a_ltln_set_fun$' * 'Bool_a_ltln_set_fun$' ) > tlbool ).
tff(func_def_529,type,
sK597: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_530,type,
sK598: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_531,type,
sK599: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_532,type,
sK600: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_533,type,
sK601: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_534,type,
sK602: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_535,type,
sK603: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_536,type,
sK604: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_537,type,
sK605: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_538,type,
sK606: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_539,type,
sK607: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_540,type,
sK608: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(pred_def_1,type,
'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_2,type,
'less_eq$a': ( 'Bool_bool_a_ltln_set_fun_fun$' * 'Bool_bool_a_ltln_set_fun_fun$' ) > $o ).
tff(pred_def_3,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_4,type,
'less_eq$c': ( 'Bool_a_ltln_set_fun$' * 'Bool_a_ltln_set_fun$' ) > $o ).
tff(pred_def_5,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_6,type,
'less_eq$b': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_8,type,
'is_singleton$': 'A_ltln_set$' > $o ).
tff(pred_def_9,type,
'is_empty$': 'A_ltln_set$' > $o ).
tff(pred_def_10,type,
'sup$d': ( tlbool * tlbool ) > $o ).
tff(pred_def_11,type,
sP0: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_12,type,
sP1: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_13,type,
sP2: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_14,type,
sP3: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_15,type,
sP4: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_16,type,
sP5: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_17,type,
sP6: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_18,type,
sP7: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_19,type,
sP8: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_20,type,
sP9: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_21,type,
sP10: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_22,type,
sP11: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_23,type,
sP12: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_24,type,
sP13: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_25,type,
sP14: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_26,type,
sP15: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_27,type,
sP16: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_28,type,
sP17: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_29,type,
sP18: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_30,type,
sP19: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_31,type,
sP20: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_32,type,
sP21: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_33,type,
sP22: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_34,type,
sP23: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_35,type,
sP24: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_36,type,
sP25: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_37,type,
sP26: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_38,type,
sP27: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_39,type,
sP28: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_40,type,
sP29: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_41,type,
sP30: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_42,type,
sP31: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_43,type,
sP32: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' ) > $o ).
tff(pred_def_44,type,
sP33: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' ) > $o ).
tff(pred_def_45,type,
sP34: ( 'A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_46,type,
sP35: ( 'A_ltln$' * 'A_ltln$' * 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_47,type,
sP36: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_48,type,
sP37: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_49,type,
sP38: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_50,type,
sP39: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_51,type,
sP40: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_52,type,
sP41: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_53,type,
sP42: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_54,type,
sP43: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_55,type,
sP44: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_56,type,
sP45: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_57,type,
sP46: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_58,type,
sP47: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_59,type,
sP48: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_60,type,
sP49: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_61,type,
sP50: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_62,type,
sP51: ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_63,type,
sP52: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_64,type,
sP53: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_65,type,
sP54: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_66,type,
sP55: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_67,type,
sP56: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_68,type,
sP57: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_69,type,
sP58: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_70,type,
sP59: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_71,type,
sP60: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_72,type,
sP61: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_73,type,
sP62: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_74,type,
sP63: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_75,type,
sP64: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_76,type,
sP65: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_77,type,
sP66: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_78,type,
sP67: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_79,type,
sP68: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_80,type,
sP69: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_81,type,
sP70: 'A_ltln$' > $o ).
tff(pred_def_82,type,
sP71: 'A_ltln$' > $o ).
tff(pred_def_83,type,
sP72: 'A_ltln$' > $o ).
tff(pred_def_84,type,
sP73: 'A_ltln$' > $o ).
tff(pred_def_85,type,
sP74: 'A_ltln$' > $o ).
tff(pred_def_86,type,
sP75: 'A_ltln$' > $o ).
tff(pred_def_87,type,
sP76: 'A_ltln$' > $o ).
tff(pred_def_88,type,
sP77: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_89,type,
sP78: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_90,type,
sP79: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_91,type,
sP80: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_92,type,
sP81: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_93,type,
sP82: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_94,type,
sP83: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_95,type,
sP84: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_96,type,
sP85: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_97,type,
sP86: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_98,type,
sP87: 'A_ltln$' > $o ).
tff(pred_def_99,type,
sP88: 'A_ltln$' > $o ).
tff(pred_def_100,type,
sP89: 'A_ltln$' > $o ).
tff(pred_def_101,type,
sP90: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_102,type,
sP91: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_103,type,
sP92: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_104,type,
sP93: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_105,type,
sP94: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_106,type,
sP95: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_107,type,
sP96: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_108,type,
sP97: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_109,type,
sP98: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_110,type,
sP99: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_111,type,
sP100: 'A_ltln$' > $o ).
tff(pred_def_112,type,
sP101: 'A_ltln$' > $o ).
tff(pred_def_113,type,
sP102: 'A_ltln$' > $o ).
tff(pred_def_114,type,
sP103: 'A_ltln$' > $o ).
tff(pred_def_115,type,
sP104: 'A_ltln$' > $o ).
tff(pred_def_116,type,
sP105: 'A_ltln$' > $o ).
tff(pred_def_117,type,
sP106: 'A_ltln$' > $o ).
tff(pred_def_118,type,
sP107: 'A_ltln$' > $o ).
tff(pred_def_119,type,
sP108: 'A_ltln$' > $o ).
tff(pred_def_120,type,
sP109: 'A_ltln$' > $o ).
tff(pred_def_121,type,
sP110: 'A_ltln$' > $o ).
tff(pred_def_122,type,
sP111: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_123,type,
sP112: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_124,type,
sP113: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_125,type,
sP114: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_126,type,
sP115: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_127,type,
sP116: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_128,type,
sP117: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_129,type,
sP118: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_130,type,
sP119: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_131,type,
sP120: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_132,type,
sP121: 'A_ltln$' > $o ).
tff(pred_def_133,type,
sP122: 'A_ltln$' > $o ).
tff(pred_def_134,type,
sP123: 'A_ltln$' > $o ).
tff(pred_def_135,type,
sP124: 'A_ltln$' > $o ).
tff(pred_def_136,type,
sP125: 'A_ltln$' > $o ).
tff(pred_def_137,type,
sP126: 'A_ltln$' > $o ).
tff(pred_def_138,type,
sP127: 'A_ltln$' > $o ).
tff(pred_def_139,type,
sP128: 'A_ltln$' > $o ).
tff(pred_def_140,type,
sP129: 'A_ltln$' > $o ).
tff(pred_def_141,type,
sP130: 'A_ltln$' > $o ).
tff(pred_def_142,type,
sP131: 'A_ltln$' > $o ).
tff(pred_def_143,type,
sP132: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_144,type,
sP133: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_145,type,
sP134: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_146,type,
sP135: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_147,type,
sP136: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_148,type,
sP137: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_149,type,
sP138: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_150,type,
sP139: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_151,type,
sP140: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_152,type,
sP141: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_153,type,
sQ609_eqProxy: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_154,type,
sQ610_eqProxy: ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_155,type,
sQ611_eqProxy: ( tlbool * tlbool ) > $o ).
tff(pred_def_156,type,
sQ612_eqProxy: ( 'A$' * 'A$' ) > $o ).
tff(pred_def_157,type,
sQ613_eqProxy: ( 'Bool_a_ltln_set_fun$' * 'Bool_a_ltln_set_fun$' ) > $o ).
tff(pred_def_158,type,
sQ614_eqProxy: ( 'Nat_a_set_fun$' * 'Nat_a_set_fun$' ) > $o ).
tff(pred_def_159,type,
sQ615_eqProxy: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(f2,conjecture,
( 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
& 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture1) ).
tff(f3,negated_conjecture,
~ ( 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
& 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f6,axiom,
( 'member$'('psi$','subformulas_nu$'('chi_1$'))
| 'member$'('psi$','subformulas_nu$'('chi_2$'))
| 'member$'('psi$','subformulas_mu$'('chi_1$'))
| 'member$'('psi$','subformulas_mu$'('chi_2$')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis4) ).
tff(f8,axiom,
~ 'member$'('psi$','subformulas_nu$'('chi_1$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis6) ).
tff(f9,axiom,
~ 'member$'('psi$','subformulas_nu$'('chi_2$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis7) ).
tff(f100,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln$'] :
( ( 'less_eq$'(X0,X1)
& 'member$'(X2,X0) )
=> 'member$'(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom98) ).
tff(f193,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
=> 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom191) ).
tff(f195,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
=> 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom193) ).
tff(f208,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln$'] :
( 'less_eq$'(X0,X1)
=> 'less_eq$'(X0,'fun_app$a'('insert$'(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom206) ).
tff(f294,axiom,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'member$'(X0,'subfrmlsn$'(X1))
=> 'less_eq$'('subformulas_nu$'(X0),'subformulas_nu$'(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom292) ).
tff(f296,axiom,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'member$'(X0,'subfrmlsn$'(X1))
=> 'less_eq$'('subformulas_mu$'(X0),'subformulas_mu$'(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom294) ).
tff(f297,axiom,
! [X0: 'A_ltln$'] : 'less_eq$'('subformulas_mu$'(X0),'subfrmlsn$'(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom295) ).
tff(f769,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
| ~ 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f801,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'less_eq$'('subformulas_mu$'(X0),'subformulas_mu$'(X1))
| ~ 'member$'(X0,'subfrmlsn$'(X1)) ),
inference(ennf_transformation,[],[f296]) ).
tff(f802,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'less_eq$'('subformulas_nu$'(X0),'subformulas_nu$'(X1))
| ~ 'member$'(X0,'subfrmlsn$'(X1)) ),
inference(ennf_transformation,[],[f294]) ).
tff(f817,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln$'] :
( 'less_eq$'(X0,'fun_app$a'('insert$'(X2),X1))
| ~ 'less_eq$'(X0,X1) ),
inference(ennf_transformation,[],[f208]) ).
tff(f821,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X1),X2))
| ~ 'less_eq$'(X0,X1) ),
inference(ennf_transformation,[],[f195]) ).
tff(f822,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X2),X1))
| ~ 'less_eq$'(X0,X1) ),
inference(ennf_transformation,[],[f193]) ).
tff(f842,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln$'] :
( 'member$'(X2,X1)
| ~ 'less_eq$'(X0,X1)
| ~ 'member$'(X2,X0) ),
inference(ennf_transformation,[],[f100]) ).
tff(f843,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln$'] :
( 'member$'(X2,X1)
| ~ 'less_eq$'(X0,X1)
| ~ 'member$'(X2,X0) ),
inference(flattening,[],[f842]) ).
tff(f1843,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
| ~ 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
inference(cnf_transformation,[],[f769]) ).
tff(f1848,plain,
( 'member$'('psi$','subformulas_nu$'('chi_1$'))
| 'member$'('psi$','subformulas_nu$'('chi_2$'))
| 'member$'('psi$','subformulas_mu$'('chi_1$'))
| 'member$'('psi$','subformulas_mu$'('chi_2$')) ),
inference(cnf_transformation,[],[f6]) ).
tff(f1850,plain,
~ 'member$'('psi$','subformulas_nu$'('chi_1$')),
inference(cnf_transformation,[],[f8]) ).
tff(f1851,plain,
~ 'member$'('psi$','subformulas_nu$'('chi_2$')),
inference(cnf_transformation,[],[f9]) ).
tff(f1889,plain,
! [X0: 'A_ltln$'] : 'less_eq$'('subformulas_mu$'(X0),'subfrmlsn$'(X0)),
inference(cnf_transformation,[],[f297]) ).
tff(f1890,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'less_eq$'('subformulas_mu$'(X0),'subformulas_mu$'(X1))
| ~ 'member$'(X0,'subfrmlsn$'(X1)) ),
inference(cnf_transformation,[],[f801]) ).
tff(f1892,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'less_eq$'('subformulas_nu$'(X0),'subformulas_nu$'(X1))
| ~ 'member$'(X0,'subfrmlsn$'(X1)) ),
inference(cnf_transformation,[],[f802]) ).
tff(f1928,plain,
! [X2: 'A_ltln$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,'fun_app$a'('insert$'(X2),X1))
| ~ 'less_eq$'(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1936,plain,
! [X2: 'A_ltln_set$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X1),X2))
| ~ 'less_eq$'(X0,X1) ),
inference(cnf_transformation,[],[f821]) ).
tff(f1937,plain,
! [X2: 'A_ltln_set$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,'fun_app$a'('fun_app$b'('sup$',X2),X1))
| ~ 'less_eq$'(X0,X1) ),
inference(cnf_transformation,[],[f822]) ).
tff(f1965,plain,
! [X2: 'A_ltln$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'member$'(X2,X1)
| ~ 'less_eq$'(X0,X1)
| ~ 'member$'(X2,X0) ),
inference(cnf_transformation,[],[f843]) ).
tff(f4313,plain,
( 'member$'('psi$','subformulas_nu$'('chi_2$'))
| 'member$'('psi$','subformulas_mu$'('chi_1$'))
| 'member$'('psi$','subformulas_mu$'('chi_2$')) ),
inference(forward_subsumption_resolution,[],[f1848,f1850]) ).
tff(f4314,plain,
( 'member$'('psi$','subformulas_mu$'('chi_1$'))
| 'member$'('psi$','subformulas_mu$'('chi_2$')) ),
inference(forward_subsumption_resolution,[],[f4313,f1851]) ).
tff(f4324,definition,
( spl616_1
<=> 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
introduced(definition,[new_symbols(definition,[spl616_1])],[avatar_definition]) ).
tff(f4326,plain,
( ~ 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
| spl616_1 ),
inference(avatar_component_clause,[],[f4324]) ).
tff(f4328,definition,
( spl616_2
<=> 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))) ),
introduced(definition,[new_symbols(definition,[spl616_2])],[avatar_definition]) ).
tff(f4330,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('insert$'('strongRelease_ltln$'('chi_1$','chi_2$')),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))))
| spl616_2 ),
inference(avatar_component_clause,[],[f4328]) ).
tff(f4331,plain,
( ~ spl616_1
| ~ spl616_2 ),
inference(avatar_split_clause,[],[f1843,f4328,f4324]) ).
tff(f4332,plain,
( ~ 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))
| spl616_1 ),
inference(resolution,[],[f4326,f1928]) ).
tff(f4340,plain,
( ~ 'less_eq$'('subformulas_mu$'('psi$'),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$')))
| spl616_1 ),
inference(resolution,[],[f4332,f1937]) ).
tff(f4348,plain,
( ~ 'less_eq$'('subformulas_mu$'('psi$'),'subformulas_mu$'('chi_2$'))
| spl616_1 ),
inference(resolution,[],[f4340,f1937]) ).
tff(f4349,plain,
( ~ 'less_eq$'('subformulas_mu$'('psi$'),'subformulas_mu$'('chi_1$'))
| spl616_1 ),
inference(resolution,[],[f4340,f1936]) ).
tff(f4354,plain,
( ~ 'member$'('psi$','subfrmlsn$'('chi_2$'))
| spl616_1 ),
inference(resolution,[],[f4348,f1890]) ).
tff(f4362,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'less_eq$'(X0,'subfrmlsn$'('chi_2$'))
| ~ 'member$'('psi$',X0) )
| spl616_1 ),
inference(resolution,[],[f4354,f1965]) ).
tff(f4363,plain,
( ~ 'member$'('psi$','subfrmlsn$'('chi_1$'))
| spl616_1 ),
inference(resolution,[],[f4349,f1890]) ).
tff(f4371,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'less_eq$'(X0,'subfrmlsn$'('chi_1$'))
| ~ 'member$'('psi$',X0) )
| spl616_1 ),
inference(resolution,[],[f4363,f1965]) ).
tff(f4409,plain,
( ~ 'member$'('psi$','subformulas_mu$'('chi_2$'))
| spl616_1 ),
inference(resolution,[],[f4362,f1889]) ).
tff(f4460,plain,
( ~ 'member$'('psi$','subformulas_mu$'('chi_1$'))
| spl616_1 ),
inference(resolution,[],[f4371,f1889]) ).
tff(f4477,definition,
( spl616_3
<=> 'member$'('psi$','subformulas_mu$'('chi_2$')) ),
introduced(definition,[new_symbols(definition,[spl616_3])],[avatar_definition]) ).
tff(f4479,plain,
( 'member$'('psi$','subformulas_mu$'('chi_2$'))
| ~ spl616_3 ),
inference(avatar_component_clause,[],[f4477]) ).
tff(f4481,definition,
( spl616_4
<=> 'member$'('psi$','subformulas_mu$'('chi_1$')) ),
introduced(definition,[new_symbols(definition,[spl616_4])],[avatar_definition]) ).
tff(f4483,plain,
( 'member$'('psi$','subformulas_mu$'('chi_1$'))
| ~ spl616_4 ),
inference(avatar_component_clause,[],[f4481]) ).
tff(f4484,plain,
( spl616_3
| spl616_4 ),
inference(avatar_split_clause,[],[f4314,f4481,f4477]) ).
tff(f4485,plain,
( $false
| spl616_1
| ~ spl616_3 ),
inference(forward_subsumption_resolution,[],[f4479,f4409]) ).
tff(f4486,plain,
( spl616_1
| ~ spl616_3 ),
inference(avatar_contradiction_clause,[],[f4485]) ).
tff(f4487,plain,
( $false
| spl616_1
| ~ spl616_4 ),
inference(forward_subsumption_resolution,[],[f4483,f4460]) ).
tff(f4488,plain,
( spl616_1
| ~ spl616_4 ),
inference(avatar_contradiction_clause,[],[f4487]) ).
tff(f4490,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('fun_app$b'('sup$','fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$'))),'fun_app$a'('fun_app$b'('sup$','subformulas_mu$'('chi_1$')),'subformulas_mu$'('chi_2$'))))
| spl616_2 ),
inference(resolution,[],[f4330,f1928]) ).
tff(f4499,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'fun_app$a'('fun_app$b'('sup$','subformulas_nu$'('chi_1$')),'subformulas_nu$'('chi_2$')))
| spl616_2 ),
inference(resolution,[],[f4490,f1936]) ).
tff(f4825,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'subformulas_nu$'('chi_2$'))
| spl616_2 ),
inference(resolution,[],[f4499,f1937]) ).
tff(f4826,plain,
( ~ 'less_eq$'('subformulas_nu$'('psi$'),'subformulas_nu$'('chi_1$'))
| spl616_2 ),
inference(resolution,[],[f4499,f1936]) ).
tff(f4831,plain,
( ~ 'member$'('psi$','subfrmlsn$'('chi_2$'))
| spl616_2 ),
inference(resolution,[],[f4825,f1892]) ).
tff(f4839,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'less_eq$'(X0,'subfrmlsn$'('chi_2$'))
| ~ 'member$'('psi$',X0) )
| spl616_2 ),
inference(resolution,[],[f4831,f1965]) ).
tff(f4840,plain,
( ~ 'member$'('psi$','subfrmlsn$'('chi_1$'))
| spl616_2 ),
inference(resolution,[],[f4826,f1892]) ).
tff(f4848,plain,
( ! [X0: 'A_ltln_set$'] :
( ~ 'less_eq$'(X0,'subfrmlsn$'('chi_1$'))
| ~ 'member$'('psi$',X0) )
| spl616_2 ),
inference(resolution,[],[f4840,f1965]) ).
tff(f4888,plain,
( ~ 'member$'('psi$','subformulas_mu$'('chi_2$'))
| spl616_2 ),
inference(resolution,[],[f4839,f1889]) ).
tff(f4935,plain,
( ~ 'member$'('psi$','subformulas_mu$'('chi_1$'))
| spl616_2 ),
inference(resolution,[],[f4848,f1889]) ).
tff(f4939,plain,
( $false
| spl616_2
| ~ spl616_4 ),
inference(forward_subsumption_resolution,[],[f4935,f4483]) ).
tff(f4940,plain,
( spl616_2
| ~ spl616_4 ),
inference(avatar_contradiction_clause,[],[f4939]) ).
tff(f4941,plain,
( $false
| spl616_2
| ~ spl616_3 ),
inference(forward_subsumption_resolution,[],[f4888,f4479]) ).
tff(f4942,plain,
( spl616_2
| ~ spl616_3 ),
inference(avatar_contradiction_clause,[],[f4941]) ).
cnf(s1,plain,
( ~ spl616_1
| ~ spl616_2 ),
inference(sat_conversion,[],[f4331]) ).
cnf(s2,plain,
( spl616_3
| spl616_4 ),
inference(sat_conversion,[],[f4484]) ).
cnf(s3,plain,
( spl616_1
| ~ spl616_3 ),
inference(sat_conversion,[],[f4486]) ).
cnf(s4,plain,
( spl616_1
| ~ spl616_4 ),
inference(sat_conversion,[],[f4488]) ).
cnf(s6,plain,
( spl616_2
| ~ spl616_4 ),
inference(sat_conversion,[],[f4940]) ).
cnf(s7,plain,
( spl616_2
| ~ spl616_3 ),
inference(sat_conversion,[],[f4942]) ).
cnf(s8,plain,
spl616_1,
inference(rat,[],[s2,s3,s4]) ).
cnf(s9,plain,
~ spl616_2,
inference(rat,[],[s1,s8]) ).
cnf(s10,plain,
~ spl616_3,
inference(rat,[],[s7,s9]) ).
cnf(s11,plain,
~ spl616_4,
inference(rat,[],[s6,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s10]) ).
tff(f4943,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP369_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 12:56:17 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.63/4.21 % (3967108)Detected formulas, will run a generic FOF schedule.
% 9.63/4.21 % (3967120)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1350651745:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.63/4.21 % (3967126)dis-21_1_sil=8000:lcm=predicate:random_seed=1674463962:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.63/4.21 % (3967121)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=6069014:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.63/4.21 % (3967124)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3128573300:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.63/4.21 % (3967125)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=70888797:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.63/4.21 % (3967123)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3879875270:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.63/4.21 % (3967122)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=777542873:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.63/4.21 % (3967126)Instruction limit reached!
% 9.63/4.21 % (3967126)------------------------------
% 9.63/4.21 % (3967126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967126)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967126)Termination reason: Instruction limit
% 9.63/4.21 % (3967126)Termination phase: Saturation
% 9.63/4.21 % (3967126)Time elapsed: 0.112 s
% 9.63/4.21 % (3967126)Peak memory usage: 91 MB
% 9.63/4.21 % (3967126)Instructions burned: 130 (million)
% 9.63/4.21 % (3967123)Instruction limit reached!
% 9.63/4.21 % (3967123)------------------------------
% 9.63/4.21 % (3967123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967123)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967123)Termination reason: Instruction limit
% 9.63/4.21 % (3967123)Termination phase: Saturation
% 9.63/4.21 % (3967123)Time elapsed: 0.100 s
% 9.63/4.21 % (3967123)Peak memory usage: 90 MB
% 9.63/4.21 % (3967123)Instructions burned: 109 (million)
% 9.63/4.21 % (3967124)Instruction limit reached!
% 9.63/4.21 % (3967124)------------------------------
% 9.63/4.21 % (3967124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967124)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967124)Termination reason: Instruction limit
% 9.63/4.21 % (3967124)Termination phase: Saturation
% 9.63/4.21 % (3967124)Time elapsed: 0.121 s
% 9.63/4.21 % (3967124)Peak memory usage: 89 MB
% 9.63/4.21 % (3967124)Instructions burned: 120 (million)
% 9.63/4.21 % (3967125)Instruction limit reached!
% 9.63/4.21 % (3967125)------------------------------
% 9.63/4.21 % (3967125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967125)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967125)Termination reason: Instruction limit
% 9.63/4.21 % (3967125)Termination phase: Saturation
% 9.63/4.21 % (3967125)Time elapsed: 0.125 s
% 9.63/4.21 % (3967125)Peak memory usage: 91 MB
% 9.63/4.21 % (3967125)Instructions burned: 139 (million)
% 9.63/4.21 % (3967135)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2332993657:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.63/4.21 % (3967134)lrs+10_1_sil=8000:sp=occurrence:random_seed=3100785948:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.63/4.21 % (3967136)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3019599430:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.63/4.21 % (3967137)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4061668382:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.63/4.21 % (3967135)Instruction limit reached!
% 9.63/4.21 % (3967135)------------------------------
% 9.63/4.21 % (3967135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967135)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967135)Termination reason: Instruction limit
% 9.63/4.21 % (3967135)Termination phase: Saturation
% 9.63/4.21 % (3967135)Time elapsed: 0.159 s
% 9.63/4.21 % (3967135)Peak memory usage: 91 MB
% 9.63/4.21 % (3967135)Instructions burned: 157 (million)
% 9.63/4.21 % (3967134)Instruction limit reached!
% 9.63/4.21 % (3967134)------------------------------
% 9.63/4.21 % (3967134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967134)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967134)Termination reason: Instruction limit
% 9.63/4.21 % (3967134)Termination phase: Saturation
% 9.63/4.21 % (3967134)Time elapsed: 0.248 s
% 9.63/4.21 % (3967134)Peak memory usage: 92 MB
% 9.63/4.21 % (3967134)Instructions burned: 286 (million)
% 9.63/4.21 % (3967137)Instruction limit reached!
% 9.63/4.21 % (3967137)------------------------------
% 9.63/4.21 % (3967137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967137)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967137)Termination reason: Instruction limit
% 9.63/4.21 % (3967137)Termination phase: Saturation
% 9.63/4.21 % (3967137)Time elapsed: 0.235 s
% 9.63/4.21 % (3967137)Peak memory usage: 93 MB
% 9.63/4.21 % (3967137)Instructions burned: 248 (million)
% 9.63/4.21 % (3967136)Instruction limit reached!
% 9.63/4.21 % (3967136)------------------------------
% 9.63/4.21 % (3967136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967136)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967136)Termination reason: Instruction limit
% 9.63/4.21 % (3967136)Termination phase: Saturation
% 9.63/4.21 % (3967136)Time elapsed: 0.327 s
% 9.63/4.21 % (3967136)Peak memory usage: 94 MB
% 9.63/4.21 % (3967136)Instructions burned: 325 (million)
% 9.63/4.21 % (3967142)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3747934175:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 9.63/4.21 % (3967143)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3265784415:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.63/4.21 % (3967144)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1119184387:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 9.63/4.21 % (3967145)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2251145259:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.63/4.21 % (3967144)Instruction limit reached!
% 9.63/4.21 % (3967144)------------------------------
% 9.63/4.21 % (3967144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967144)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967144)Termination reason: Instruction limit
% 9.63/4.21 % (3967144)Termination phase: Saturation
% 9.63/4.21 % (3967144)Time elapsed: 0.110 s
% 9.63/4.21 % (3967144)Peak memory usage: 92 MB
% 9.63/4.21 % (3967144)Instructions burned: 113 (million)
% 9.63/4.21 % (3967142)Instruction limit reached!
% 9.63/4.21 % (3967142)------------------------------
% 9.63/4.21 % (3967142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967142)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967142)Termination reason: Instruction limit
% 9.63/4.21 % (3967142)Termination phase: Saturation
% 9.63/4.21 % (3967142)Time elapsed: 0.261 s
% 9.63/4.21 % (3967142)Peak memory usage: 91 MB
% 9.63/4.21 % (3967142)Instructions burned: 295 (million)
% 9.63/4.21 % (3967145)Instruction limit reached!
% 9.63/4.21 % (3967145)------------------------------
% 9.63/4.21 % (3967145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967145)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967145)Termination reason: Instruction limit
% 9.63/4.21 % (3967145)Termination phase: Saturation
% 9.63/4.21 % (3967145)Time elapsed: 0.107 s
% 9.63/4.21 % (3967145)Peak memory usage: 91 MB
% 9.63/4.21 % (3967145)Instructions burned: 128 (million)
% 9.63/4.21 % (3967150)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3198109870:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 9.63/4.21 % (3967151)lrs+10_1_sil=8000:sp=occurrence:random_seed=4270637257:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 9.63/4.21 % (3967152)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1321345685:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 9.63/4.21 % (3967150)Instruction limit reached!
% 9.63/4.21 % (3967150)------------------------------
% 9.63/4.21 % (3967150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967150)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967150)Termination reason: Instruction limit
% 9.63/4.21 % (3967150)Termination phase: Clausification
% 9.63/4.21 % (3967150)Time elapsed: 0.128 s
% 9.63/4.21 % (3967150)Peak memory usage: 113 MB
% 9.63/4.21 % (3967150)Instructions burned: 114 (million)
% 9.63/4.21 % (3967156)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2562672144:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 9.63/4.21 % (3967152)Instruction limit reached!
% 9.63/4.21 % (3967152)------------------------------
% 9.63/4.21 % (3967152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967152)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967152)Termination reason: Instruction limit
% 9.63/4.21 % (3967152)Termination phase: Saturation
% 9.63/4.21 % (3967152)Time elapsed: 0.374 s
% 9.63/4.21 % (3967152)Peak memory usage: 94 MB
% 9.63/4.21 % (3967152)Instructions burned: 438 (million)
% 9.63/4.21 % (3967158)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=437128640:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 9.63/4.21 % (3967158)Instruction limit reached!
% 9.63/4.21 % (3967158)------------------------------
% 9.63/4.21 % (3967158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967158)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967158)Termination reason: Instruction limit
% 9.63/4.21 % (3967158)Termination phase: Property scanning
% 9.63/4.21 % (3967158)Time elapsed: 0.108 s
% 9.63/4.21 % (3967158)Peak memory usage: 89 MB
% 9.63/4.21 % (3967158)Instructions burned: 134 (million)
% 9.63/4.21 % (3967151)Instruction limit reached!
% 9.63/4.21 % (3967151)------------------------------
% 9.63/4.21 % (3967151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.21 % (3967151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.21 % (3967151)CaDiCaL version: 2.1.3
% 9.63/4.21 % (3967151)Termination reason: Instruction limit
% 9.63/4.21 % (3967151)Termination phase: Saturation
% 9.63/4.21 % (3967151)Time elapsed: 0.867 s
% 9.63/4.21 % (3967151)Peak memory usage: 98 MB
% 9.63/4.21 % (3967151)Instructions burned: 908 (million)
% 9.63/4.21 % (3967165)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=490834869:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 9.63/4.21 % (3967167)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1675949828:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 9.63/4.21 % (3967165)First to succeed.
% 9.63/4.21 % (3967165)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3967108"
% 9.63/4.21 % (3967165)Refutation found. Thanks to Tanya!
% 9.63/4.21 % SZS status Theorem for theBenchmark
% 9.63/4.21 % SZS output start Proof for theBenchmark
% See solution above
% 23.59/4.52 % (3967165)------------------------------
% 23.59/4.52 % (3967165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.59/4.52 % (3967165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/4.52 % (3967165)CaDiCaL version: 2.1.3
% 23.59/4.52 % (3967165)Termination reason: Refutation
% 23.59/4.52 % (3967165)Time elapsed: 0.110 s
% 23.59/4.52 % (3967165)Peak memory usage: 92 MB
% 23.59/4.52 % (3967165)Instructions burned: 123 (million)
% 23.59/4.52 % (3967165)------------------------------
% 23.59/4.52 % (3967165)------------------------------
% 23.59/4.52 % (3967108)Success in time 3.268 s
% 23.59/4.52 % Vampire exiting
%------------------------------------------------------------------------------