%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP355_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 : n019.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 11:33:41 AM UTC 2026
% Result : Theorem 16.45s 3.67s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 32 ~; 30 |; 15 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 31 ( 29 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 63 ( 62 usr; 1 prp; 0-3 aty)
% Number of functors : 456 ( 456 usr; 26 con; 0-3 aty)
% Number of variables : 45 ( 43 !; 2 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_nat_a_set_fun_prod$': $tType ).
tff(type_def_7,type,
'A_ltln_set_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_bool_fun_a_ltln_set_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_set_int_fun$': $tType ).
tff(type_def_10,type,
'Int_int_fun$': $tType ).
tff(type_def_11,type,
'Nat_a_set_fun_bool_fun$': $tType ).
tff(type_def_12,type,
'Nat$': $tType ).
tff(type_def_13,type,
tlbool: $tType ).
tff(type_def_14,type,
'A_a_bool_fun_fun$': $tType ).
tff(type_def_15,type,
'A_ltln_nat_a_set_fun_prod_set$': $tType ).
tff(type_def_16,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_17,type,
'A_bool_fun$': $tType ).
tff(type_def_18,type,
'A_ltln_set$': $tType ).
tff(type_def_19,type,
'Int_a_ltln_set_fun$': $tType ).
tff(type_def_20,type,
'A_ltln$': $tType ).
tff(type_def_21,type,
'A$': $tType ).
tff(type_def_22,type,
'A_ltln_bool_fun_int_fun$': $tType ).
tff(type_def_23,type,
'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$': $tType ).
tff(type_def_24,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_25,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_26,type,
'Int_int_int_fun_fun$': $tType ).
tff(type_def_27,type,
'Nat_a_set_fun_set$': $tType ).
tff(type_def_28,type,
'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_29,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_30,type,
'A_ltln_nat_a_set_fun_bool_fun_fun$': $tType ).
tff(type_def_31,type,
'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_32,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_33,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'fun_app$i': ( 'A_ltln_bool_fun_a_ltln_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_set$' ).
tff(func_def_1,type,
def_10: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_2,type,
'w$': 'Nat_a_set_fun$' ).
tff(func_def_3,type,
def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_4,type,
'bot$f': 'A_ltln_nat_a_set_fun_prod_set$' ).
tff(func_def_5,type,
'uup$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_6,type,
def_12: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_7,type,
'fun_app$b': ( 'A_ltln_set_a_ltln_bool_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_8,type,
'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_9,type,
'fun_app$l': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).
tff(func_def_10,type,
'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_11,type,
'uuf$': 'A_ltln_set$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_12,type,
'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_13,type,
'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_14,type,
'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_15,type,
'fun_app$p': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_16,type,
'fun_app$k': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_17,type,
'uue$': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_18,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_19,type,
'inf$b': 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' ).
tff(func_def_20,type,
def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_21,type,
'fun_app$h': ( 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_22,type,
'uus$': 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_23,type,
'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_24,type,
def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_25,type,
'uun$': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_26,type,
'inf$g': ( 'A_ltln_nat_a_set_fun_prod_set$' * 'A_ltln_nat_a_set_fun_prod_set$' ) > 'A_ltln_nat_a_set_fun_prod_set$' ).
tff(func_def_27,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_28,type,
def_11: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_29,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_30,type,
'is_mu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_31,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_32,type,
'is_nu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_33,type,
'i$': 'Nat$' ).
tff(func_def_34,type,
'fun_app$m': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_36,type,
'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_37,type,
'uur$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_38,type,
'prop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_39,type,
'fun_app$c': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_40,type,
tltrue: tlbool ).
tff(func_def_41,type,
'inf$e': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_42,type,
'fun_app$n': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).
tff(func_def_43,type,
'inf$a': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_set$' ).
tff(func_def_44,type,
'uum$': 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' ).
tff(func_def_45,type,
'uuq$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_46,type,
'fun_app$g': ( 'A_ltln_nat_a_set_fun_bool_fun_fun$' * 'A_ltln$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_47,type,
def_9: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_48,type,
'uul$': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_49,type,
'uuu$': 'A_ltln_nat_a_set_fun_prod_set$' > 'A_ltln_nat_a_set_fun_bool_fun_fun$' ).
tff(func_def_50,type,
'collect$a': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).
tff(func_def_51,type,
'uu$': 'A_ltln_bool_fun$' ).
tff(func_def_52,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_53,type,
'uuc$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_54,type,
'nprop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_55,type,
def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_56,type,
'rel_ltln$': 'A_a_bool_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_57,type,
'uuo$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).
tff(func_def_58,type,
'uuv$': 'A_a_bool_fun_fun$' ).
tff(func_def_59,type,
'fun_app$f': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_60,type,
'inf$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).
tff(func_def_61,type,
def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_62,type,
'fun_app$s': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_63,type,
'uub$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_64,type,
'uuh$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_65,type,
'inf$c': 'Int_int_int_fun_fun$' ).
tff(func_def_66,type,
'not_n$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_67,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_68,type,
'uuj$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_69,type,
'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_70,type,
'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_71,type,
'bot$e': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_72,type,
'bot$a': 'A_ltln_bool_fun$' ).
tff(func_def_73,type,
'bot$c': 'Nat_a_set_fun_set$' ).
tff(func_def_74,type,
'fun_app$o': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).
tff(func_def_75,type,
'uua$': 'A_ltln_bool_fun$' ).
tff(func_def_76,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_77,type,
'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).
tff(func_def_78,type,
'pair$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_nat_a_set_fun_prod$' ).
tff(func_def_79,type,
'fun_app$r': ( 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_80,type,
def_5: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_81,type,
tlfalse: tlbool ).
tff(func_def_82,type,
'nat$': $int > 'Nat$' ).
tff(func_def_83,type,
def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_84,type,
'uud$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_85,type,
'fun_app$q': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_86,type,
'uug$': 'A_ltln_set_a_ltln_bool_fun_fun$' ).
tff(func_def_87,type,
'bot$d': 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_88,type,
'uui$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_89,type,
'bot$': 'A_ltln_set$' ).
tff(func_def_90,type,
'inf$f': ( 'A_ltln_nat_a_set_fun_bool_fun_fun$' * 'A_ltln_nat_a_set_fun_bool_fun_fun$' * 'A_ltln$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_91,type,
'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_92,type,
'fun_app$e': ( 'A_a_bool_fun_fun$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_93,type,
'collect$': 'A_ltln_bool_fun_a_ltln_set_fun$' ).
tff(func_def_94,type,
'uuw$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_95,type,
'uuk$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_96,type,
'phi$': 'A_ltln$' ).
tff(func_def_97,type,
'next_ltln$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_98,type,
'uut$': 'A_ltln_bool_fun$' ).
tff(func_def_99,type,
'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_104,type,
sK45: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_105,type,
sK46: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_106,type,
sK47: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_107,type,
sK48: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_108,type,
sK49: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_109,type,
sK50: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_110,type,
sK51: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_111,type,
sK52: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_112,type,
sK53: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_113,type,
sK54: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_114,type,
sK55: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_115,type,
sK56: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_116,type,
sK57: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_117,type,
sK58: 'A_ltln$' > 'A$' ).
tff(func_def_118,type,
sK59: 'A_ltln$' > 'A$' ).
tff(func_def_119,type,
sK60: 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_120,type,
sK61: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_121,type,
sK62: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_122,type,
sK63: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_123,type,
sK64: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_124,type,
sK65: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_125,type,
sK66: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_126,type,
sK67: 'A_ltln_bool_fun_a_ltln_bool_fun_a_ltln_bool_fun_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_127,type,
sK68: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_128,type,
sK69: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_129,type,
sK70: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_130,type,
sK71: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_131,type,
sK72: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_132,type,
sK73: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_133,type,
sK74: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_134,type,
sK75: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_135,type,
sK76: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_136,type,
sK77: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_137,type,
sK78: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_138,type,
sK79: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_139,type,
sK80: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_140,type,
sK81: 'A_ltln$' > 'A$' ).
tff(func_def_141,type,
sK82: 'A_ltln$' > 'A$' ).
tff(func_def_142,type,
sK83: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_143,type,
sK84: 'A_ltln_nat_a_set_fun_prod$' > 'A$' ).
tff(func_def_144,type,
sK85: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_145,type,
sK86: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_146,type,
sK87: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_147,type,
sK88: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_148,type,
sK89: 'A_ltln_nat_a_set_fun_prod$' > 'A$' ).
tff(func_def_149,type,
sK90: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_150,type,
sK91: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_151,type,
sK92: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_152,type,
sK93: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_153,type,
sK94: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_154,type,
sK95: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_155,type,
sK96: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_156,type,
sK97: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_157,type,
sK98: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_158,type,
sK99: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_159,type,
sK100: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_160,type,
sK101: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_161,type,
sK102: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_162,type,
sK103: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_163,type,
sK104: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_164,type,
sK105: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_165,type,
sK106: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_166,type,
sK107: 'A_ltln_nat_a_set_fun_prod$' > 'A_ltln$' ).
tff(func_def_167,type,
sK108: 'A_ltln_nat_a_set_fun_prod$' > 'Nat_a_set_fun$' ).
tff(func_def_168,type,
sK109: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_169,type,
sK110: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_170,type,
sK111: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_171,type,
sK112: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_172,type,
sK113: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_173,type,
sK114: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_174,type,
sK115: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_175,type,
sK116: 'Int_int_fun$' > $int ).
tff(func_def_176,type,
sK117: 'Int_int_fun$' > $int ).
tff(func_def_177,type,
sK118: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_178,type,
sK119: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_179,type,
sK120: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_180,type,
sK121: ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_181,type,
sK122: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_182,type,
sK123: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_183,type,
sK124: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_184,type,
sK125: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_185,type,
sK126: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_186,type,
sK127: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_187,type,
sK128: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_188,type,
sK129: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_189,type,
sK130: 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_190,type,
sK131: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_191,type,
sK132: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_192,type,
sK133: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_193,type,
sK134: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_194,type,
sK135: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_195,type,
sK136: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_196,type,
sK137: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_197,type,
sK138: 'Int_int_fun$' > $int ).
tff(func_def_198,type,
sK139: 'Int_int_fun$' > $int ).
tff(func_def_199,type,
sK140: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_200,type,
sK141: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_201,type,
sK142: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_202,type,
sK143: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_203,type,
sK144: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_204,type,
sK145: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_205,type,
sK146: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_206,type,
sK147: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_207,type,
sK148: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_208,type,
sK149: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_209,type,
sK150: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_210,type,
sK151: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_211,type,
sK152: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_212,type,
sK153: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_213,type,
sK154: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_214,type,
sK155: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_215,type,
sK156: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_216,type,
sK157: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_217,type,
sK158: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_218,type,
sK159: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_219,type,
sK160: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_220,type,
sK161: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_221,type,
sK162: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_222,type,
sK163: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_223,type,
sK164: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_224,type,
sK165: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_225,type,
sK166: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_226,type,
sK167: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_227,type,
sK168: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_228,type,
sK169: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_229,type,
sK170: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_230,type,
sK171: ( 'A_ltln$' * tlbool ) > 'A$' ).
tff(func_def_231,type,
sK172: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_232,type,
sK173: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_233,type,
sK174: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_234,type,
sK175: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_235,type,
sK176: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_236,type,
sK177: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_237,type,
sK178: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_238,type,
sK179: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_239,type,
sK180: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_240,type,
sK181: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_241,type,
sK182: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_242,type,
sK183: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_243,type,
sK184: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_244,type,
sK185: ( tlbool * 'A_ltln$' ) > 'A$' ).
tff(func_def_245,type,
sK186: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_246,type,
sK187: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_247,type,
sK188: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_248,type,
sK189: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_249,type,
sK190: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_250,type,
sK191: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_251,type,
sK192: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_252,type,
sK193: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_253,type,
sK194: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_254,type,
sK195: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_255,type,
sK196: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_256,type,
sK197: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_257,type,
sK198: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_258,type,
sK199: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_259,type,
sK200: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_260,type,
sK201: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_261,type,
sK202: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_262,type,
sK203: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_263,type,
sK204: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_264,type,
sK205: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_265,type,
sK206: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_266,type,
sK207: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_267,type,
sK208: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_268,type,
sK209: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_269,type,
sK210: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_270,type,
sK211: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_271,type,
sK212: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_272,type,
sK213: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_273,type,
sK214: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_274,type,
sK215: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_275,type,
sK216: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_276,type,
sK217: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_277,type,
sK218: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_278,type,
sK219: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_279,type,
sK220: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_280,type,
sK221: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_281,type,
sK222: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > 'A$' ).
tff(func_def_282,type,
sK223: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > 'A$' ).
tff(func_def_283,type,
sK224: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > 'A$' ).
tff(func_def_284,type,
sK225: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > 'A$' ).
tff(func_def_285,type,
sK226: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_286,type,
sK227: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_287,type,
sK228: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_288,type,
sK229: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_289,type,
sK230: ( tlbool * 'A_ltln$' ) > 'A$' ).
tff(func_def_290,type,
sK231: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_291,type,
sK232: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_292,type,
sK233: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_293,type,
sK234: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_294,type,
sK235: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_295,type,
sK236: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_296,type,
sK237: ( 'A_ltln$' * tlbool ) > 'A_ltln$' ).
tff(func_def_297,type,
sK238: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_298,type,
sK239: ( tlbool * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_299,type,
sK240: ( tlbool * 'A_ltln$' ) > 'A$' ).
tff(func_def_300,type,
sK241: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_301,type,
sK242: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_302,type,
sK243: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_303,type,
sK244: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_304,type,
sK245: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_305,type,
sK246: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_306,type,
sK247: 'A_ltln$' > 'A$' ).
tff(func_def_307,type,
sK248: 'A_ltln$' > 'A$' ).
tff(func_def_308,type,
sK249: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_309,type,
sK250: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_310,type,
sK251: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_311,type,
sK252: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_312,type,
sK253: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_313,type,
sK254: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_314,type,
sK255: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_315,type,
sK256: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_316,type,
sK257: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_317,type,
sK258: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_318,type,
sK259: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_319,type,
sK260: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_320,type,
sK261: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_321,type,
sK262: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_322,type,
sK263: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_323,type,
sK264: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_324,type,
sK265: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_325,type,
sK266: ( 'A_ltln$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_326,type,
sK267: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_327,type,
sK268: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_328,type,
sK269: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_329,type,
sK270: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_330,type,
sK271: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_331,type,
sK272: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_332,type,
sK273: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_333,type,
sK274: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_334,type,
sK275: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_335,type,
sK276: 'A_ltln$' > 'A$' ).
tff(func_def_336,type,
sK277: 'A_ltln$' > 'A$' ).
tff(func_def_337,type,
sK278: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_338,type,
sK279: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_339,type,
sK280: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_340,type,
sK281: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_341,type,
sK282: ( 'A_ltln$' * 'A_ltln$' ) > 'A$' ).
tff(func_def_342,type,
sK283: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_343,type,
sK284: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_344,type,
sK285: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_345,type,
sK286: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_346,type,
sK287: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_347,type,
sK288: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_348,type,
sK289: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_349,type,
sK290: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_350,type,
sK291: ( 'A_ltln$' * 'A_ltln$' ) > 'A$' ).
tff(func_def_351,type,
sK292: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_352,type,
sK293: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_353,type,
sK294: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_354,type,
sK295: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_355,type,
sK296: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_356,type,
sK297: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_357,type,
sK298: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_358,type,
sK299: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_359,type,
sK300: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_360,type,
sK301: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_361,type,
sK302: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_362,type,
sK303: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_363,type,
sK304: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_364,type,
sK305: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_365,type,
sK306: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_366,type,
sK307: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_367,type,
sK308: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_368,type,
sK309: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_369,type,
sK310: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_370,type,
sK311: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_371,type,
sK312: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_372,type,
sK313: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_373,type,
sK314: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_374,type,
sK315: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_375,type,
sK316: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_376,type,
sK317: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_377,type,
sK318: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_378,type,
sK319: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_379,type,
sK320: 'A_ltln$' > 'A$' ).
tff(func_def_380,type,
sK321: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_381,type,
sK322: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_382,type,
sK323: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_383,type,
sK324: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_384,type,
sK325: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_385,type,
sK326: 'A_ltln$' > 'A$' ).
tff(func_def_386,type,
sK327: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_387,type,
sK328: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_388,type,
sK329: 'Int_int_fun$' > $int ).
tff(func_def_389,type,
sK330: 'Int_int_fun$' > $int ).
tff(func_def_390,type,
sK331: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_391,type,
sK332: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_392,type,
sK333: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_393,type,
sK334: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_394,type,
sK335: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_395,type,
sK336: 'A_a_bool_fun_fun$' > 'A$' ).
tff(func_def_396,type,
sK337: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_397,type,
sK338: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_398,type,
sK339: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_399,type,
sK340: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_400,type,
sK341: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_401,type,
sK342: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_402,type,
sK343: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_403,type,
sK344: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_404,type,
sK345: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_405,type,
sK346: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_406,type,
sK347: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_407,type,
sK348: 'A_ltln_set$' > 'A_ltln$' ).
tff(func_def_408,type,
sK349: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_409,type,
sK350: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_410,type,
sK351: 'Int_int_fun$' > $int ).
tff(func_def_411,type,
sK352: 'Int_int_fun$' > $int ).
tff(func_def_412,type,
sK353: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_413,type,
sK354: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_414,type,
sK355: 'A_ltln$' > 'A$' ).
tff(func_def_415,type,
sK356: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_416,type,
sK357: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_417,type,
sK358: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_418,type,
sK359: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_419,type,
sK360: 'A_ltln$' > 'A$' ).
tff(func_def_420,type,
sK361: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_421,type,
sK362: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_422,type,
sK363: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_423,type,
sK364: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_424,type,
sK365: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_425,type,
sK366: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_426,type,
sK367: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_427,type,
sK368: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_428,type,
sK369: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_429,type,
sK370: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_430,type,
sK371: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_431,type,
sK372: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_432,type,
sK373: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_433,type,
sK374: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_434,type,
sK375: 'A_ltln$' > 'A$' ).
tff(func_def_435,type,
sK376: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_436,type,
sK377: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_437,type,
sK378: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_438,type,
sK379: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_439,type,
sK380: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_440,type,
sK381: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_441,type,
sK382: 'A_ltln$' > 'A$' ).
tff(func_def_442,type,
sK383: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_443,type,
sK384: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_444,type,
sK385: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_445,type,
sK386: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_446,type,
sK387: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_447,type,
sK388: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_448,type,
sK389: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_449,type,
sK390: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_450,type,
sK391: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_451,type,
sK392: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_452,type,
sK393: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_453,type,
sK394: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_454,type,
sK395: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_455,type,
sK396: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_456,type,
sK397: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_457,type,
sK398: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_458,type,
sK399: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_459,type,
sK400: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(pred_def_1,type,
'less_eq$f': ( 'A_ltln_nat_a_set_fun_bool_fun_fun$' * 'A_ltln_nat_a_set_fun_bool_fun_fun$' ) > $o ).
tff(pred_def_2,type,
'inf$d': ( tlbool * tlbool ) > $o ).
tff(pred_def_3,type,
'less_eq$e': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_4,type,
'fun_app$a': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).
tff(pred_def_5,type,
'member$a': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_6,type,
'fun_app$j': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_7,type,
'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_8,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_9,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_10,type,
'less_eq$c': ( tlbool * tlbool ) > $o ).
tff(pred_def_11,type,
'less_eq$d': ( 'A_a_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > $o ).
tff(pred_def_13,type,
'is_empty$': 'A_ltln_set$' > $o ).
tff(pred_def_14,type,
'less_eq$b': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_15,type,
'less_eq$g': ( 'A_ltln_nat_a_set_fun_prod_set$' * 'A_ltln_nat_a_set_fun_prod_set$' ) > $o ).
tff(pred_def_16,type,
'member$b': ( 'A_ltln_nat_a_set_fun_prod$' * 'A_ltln_nat_a_set_fun_prod_set$' ) > $o ).
tff(pred_def_17,type,
'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_18,type,
'fun_app$d': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_21,type,
sP0: 'A_ltln$' > $o ).
tff(pred_def_22,type,
sP1: 'A_ltln$' > $o ).
tff(pred_def_23,type,
sP2: 'A_ltln$' > $o ).
tff(pred_def_24,type,
sP3: ( $int * $int * $int ) > $o ).
tff(pred_def_25,type,
sP4: ( $int * $int * $int ) > $o ).
tff(pred_def_26,type,
sP5: ( $int * $int * $int ) > $o ).
tff(pred_def_27,type,
sP6: 'A_ltln$' > $o ).
tff(pred_def_28,type,
sP7: 'A_ltln$' > $o ).
tff(pred_def_29,type,
sP8: 'A_ltln$' > $o ).
tff(pred_def_30,type,
sP9: 'A_ltln$' > $o ).
tff(pred_def_31,type,
sP10: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_32,type,
sP11: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_33,type,
sP12: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_34,type,
sP13: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_35,type,
sP14: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_36,type,
sP15: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_37,type,
sP16: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_38,type,
sP17: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_39,type,
sP18: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_40,type,
sP19: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_41,type,
sP20: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_42,type,
sP21: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_43,type,
sP22: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_44,type,
sP23: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_45,type,
sP24: 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_46,type,
sP25: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_47,type,
sP26: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_48,type,
sP27: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_49,type,
sP28: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_50,type,
sP29: ( 'A_ltln$' * tlbool ) > $o ).
tff(pred_def_51,type,
sP30: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_52,type,
sP31: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_53,type,
sP32: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_54,type,
sP33: ( tlbool * 'A_ltln$' ) > $o ).
tff(pred_def_55,type,
sP34: 'A_ltln$' > $o ).
tff(pred_def_56,type,
sP35: 'A_ltln$' > $o ).
tff(pred_def_57,type,
sP36: 'A_ltln$' > $o ).
tff(pred_def_58,type,
sP37: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_59,type,
sP38: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_60,type,
sP39: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_61,type,
sP40: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_62,type,
sP41: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_63,type,
sP42: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_64,type,
sP43: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_65,type,
sP44: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(f1,negated_conjecture,
! [X0: 'A_ltln$'] :
( ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
<=> 'fun_app$'('uu$',X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom0) ).
tff(f2,axiom,
! [X0: 'A_ltln$'] :
( 'fun_app$'('uua$',X0)
<=> ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
tff(f25,conjecture,
'less_eq$'('fun_app$i'('collect$','uu$'),'fun_app$i'('collect$','uua$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture24) ).
tff(f26,negated_conjecture,
~ 'less_eq$'('fun_app$i'('collect$','uu$'),'fun_app$i'('collect$','uua$')),
inference(negated_conjecture,[status(cth)],[f25]) ).
tff(f37,axiom,
! [X1: 'Nat_a_set_fun$',X0: 'Nat$',X2: 'A_ltln$'] :
( 'fun_app$'('semantics_ltln$'('suffix$'(X0,X1)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2)))
<=> 'fun_app$'('semantics_ltln$'(X1),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).
tff(f169,axiom,
! [X1: 'A_ltln_bool_fun$',X0: 'A_ltln_bool_fun$'] :
( ! [X2: 'A_ltln$'] :
( 'fun_app$'(X0,X2)
=> 'fun_app$'(X1,X2) )
=> 'less_eq$'('fun_app$i'('collect$',X0),'fun_app$i'('collect$',X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom167) ).
tff(f769,plain,
! [X0: 'Nat_a_set_fun$',X2: 'A_ltln$',X1: 'Nat$'] :
( 'fun_app$'('semantics_ltln$'('suffix$'(X1,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2)))
<=> 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2))) ),
inference(rectify,[],[f37]) ).
tff(f990,plain,
! [X1: 'A_ltln_bool_fun$',X0: 'A_ltln_bool_fun$'] :
( ! [X2: 'A_ltln$'] :
( 'fun_app$'(X1,X2)
=> 'fun_app$'(X0,X2) )
=> 'less_eq$'('fun_app$i'('collect$',X1),'fun_app$i'('collect$',X0)) ),
inference(rectify,[],[f169]) ).
tff(f1070,plain,
~ 'less_eq$'('fun_app$i'('collect$','uu$'),'fun_app$i'('collect$','uua$')),
inference(flattening,[],[f26]) ).
tff(f1379,plain,
! [X1: 'A_ltln_bool_fun$',X0: 'A_ltln_bool_fun$'] :
( 'less_eq$'('fun_app$i'('collect$',X1),'fun_app$i'('collect$',X0))
| ? [X2: 'A_ltln$'] :
( ~ 'fun_app$'(X0,X2)
& 'fun_app$'(X1,X2) ) ),
inference(ennf_transformation,[],[f990]) ).
tff(f1797,plain,
! [X0: 'A_ltln_bool_fun$',X1: 'A_ltln_bool_fun$'] :
( 'less_eq$'('fun_app$i'('collect$',X0),'fun_app$i'('collect$',X1))
| ? [X2: 'A_ltln$'] :
( ~ 'fun_app$'(X1,X2)
& 'fun_app$'(X0,X2) ) ),
inference(rectify,[],[f1379]) ).
tff(f1798,plain,
! [X0: 'A_ltln_bool_fun$',X1: 'A_ltln_bool_fun$'] :
( 'less_eq$'('fun_app$i'('collect$',X0),'fun_app$i'('collect$',X1))
| ( ~ 'fun_app$'(X1,sK122(X0,X1))
& 'fun_app$'(X0,sK122(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X2,sK122(X0,X1))],[f1797]) ).
tff(f1910,plain,
! [X0: 'Nat_a_set_fun$',X2: 'A_ltln$',X1: 'Nat$'] :
( ( 'fun_app$'('semantics_ltln$'('suffix$'(X1,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2)))
| ~ 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2))) )
& ( 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2)))
| ~ 'fun_app$'('semantics_ltln$'('suffix$'(X1,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X2))) ) ),
inference(nnf_transformation,[],[f769]) ).
tff(f1911,plain,
! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$',X2: 'Nat$'] :
( ( 'fun_app$'('semantics_ltln$'('suffix$'(X2,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1)))
| ~ 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1))) )
& ( 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1)))
| ~ 'fun_app$'('semantics_ltln$'('suffix$'(X2,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1))) ) ),
inference(rectify,[],[f1910]) ).
tff(f2133,plain,
! [X0: 'A_ltln$'] :
( ( 'fun_app$'('uua$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$'))
| ~ 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
& ( ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
| ~ 'fun_app$'('uua$',X0) ) ),
inference(nnf_transformation,[],[f2]) ).
tff(f2134,plain,
! [X0: 'A_ltln$'] :
( ( 'fun_app$'('uua$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$'))
| ~ 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
& ( ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
| ~ 'fun_app$'('uua$',X0) ) ),
inference(flattening,[],[f2133]) ).
tff(f2135,plain,
! [X0: 'A_ltln$'] :
( ( ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
| ~ 'fun_app$'('uu$',X0) )
& ( 'fun_app$'('uu$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$'))
| ~ 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) ) ),
inference(nnf_transformation,[],[f1]) ).
tff(f2136,plain,
! [X0: 'A_ltln$'] :
( ( ( 'member$'(X0,'subformulas_nu$'('phi$'))
& 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) )
| ~ 'fun_app$'('uu$',X0) )
& ( 'fun_app$'('uu$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$'))
| ~ 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0))) ) ),
inference(flattening,[],[f2135]) ).
tff(f2723,plain,
! [X0: 'A_ltln_bool_fun$',X1: 'A_ltln_bool_fun$'] :
( 'fun_app$'(X0,sK122(X0,X1))
| 'less_eq$'('fun_app$i'('collect$',X0),'fun_app$i'('collect$',X1)) ),
inference(cnf_transformation,[],[f1798]) ).
tff(f2724,plain,
! [X0: 'A_ltln_bool_fun$',X1: 'A_ltln_bool_fun$'] :
( ~ 'fun_app$'(X1,sK122(X0,X1))
| 'less_eq$'('fun_app$i'('collect$',X0),'fun_app$i'('collect$',X1)) ),
inference(cnf_transformation,[],[f1798]) ).
tff(f2896,plain,
! [X2: 'Nat$',X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
( ~ 'fun_app$'('semantics_ltln$'('suffix$'(X2,X0)),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1)))
| 'fun_app$'('semantics_ltln$'(X0),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X1))) ),
inference(cnf_transformation,[],[f1911]) ).
tff(f3173,plain,
! [X0: 'A_ltln$'] :
( ~ 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0)))
| 'fun_app$'('uua$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$')) ),
inference(cnf_transformation,[],[f2134]) ).
tff(f3175,plain,
! [X0: 'A_ltln$'] :
( 'fun_app$'('semantics_ltln$'('suffix$'('i$','w$')),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0)))
| ~ 'fun_app$'('uu$',X0) ),
inference(cnf_transformation,[],[f2136]) ).
tff(f3176,plain,
! [X0: 'A_ltln$'] :
( 'member$'(X0,'subformulas_nu$'('phi$'))
| ~ 'fun_app$'('uu$',X0) ),
inference(cnf_transformation,[],[f2136]) ).
tff(f3666,plain,
~ 'less_eq$'('fun_app$i'('collect$','uu$'),'fun_app$i'('collect$','uua$')),
inference(cnf_transformation,[],[f1070]) ).
tff(f4158,plain,
'fun_app$'('uu$',sK122('uu$','uua$')),
inference(resolution,[],[f2723,f3666]) ).
tff(f4453,plain,
! [X0: 'A_ltln$'] :
( 'fun_app$'('semantics_ltln$'('w$'),'until_ltln$'('true_ltln$','release_ltln$'('false_ltln$',X0)))
| ~ 'fun_app$'('uu$',X0) ),
inference(resolution,[],[f2896,f3175]) ).
tff(f4454,plain,
! [X0: 'A_ltln$'] :
( ~ 'fun_app$'('uu$',X0)
| ~ 'member$'(X0,'subformulas_nu$'('phi$'))
| 'fun_app$'('uua$',X0) ),
inference(resolution,[],[f4453,f3173]) ).
tff(f4456,plain,
! [X0: 'A_ltln$'] :
( ~ 'fun_app$'('uu$',X0)
| 'fun_app$'('uua$',X0) ),
inference(forward_subsumption_resolution,[],[f4454,f3176]) ).
tff(f4460,plain,
'fun_app$'('uua$',sK122('uu$','uua$')),
inference(resolution,[],[f4456,f4158]) ).
tff(f4514,plain,
'less_eq$'('fun_app$i'('collect$','uu$'),'fun_app$i'('collect$','uua$')),
inference(resolution,[],[f4460,f2724]) ).
tff(f4515,plain,
$false,
inference(forward_subsumption_resolution,[],[f4514,f3666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP355_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 12:55:18 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 4.97/1.98 % (3070091)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.97/1.98 % (3070102)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3887500723:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.97/1.98 % (3070101)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=15681472:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.97/1.98 % (3070100)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1363543388:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.97/1.98 % (3070105)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3128622180:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.97/1.98 % (3070100)Instruction limit reached!
% 4.97/1.98 % (3070100)------------------------------
% 4.97/1.98 % (3070100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.98 % (3070100)CaDiCaL version: 2.1.3
% 4.97/1.98 % (3070100)Termination reason: Instruction limit
% 4.97/1.98 % (3070100)Termination phase: Property scanning
% 4.97/1.98 % (3070100)Time elapsed: 0.012 s
% 4.97/1.98 % (3070100)Peak memory usage: 85 MB
% 4.97/1.98 % (3070100)Instructions burned: 12 (million)
% 4.97/1.98 % (3070103)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3695407957:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.97/1.98 % (3070104)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3680479614:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.97/1.98 % (3070106)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2671305925:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.97/1.98 % (3070104)Instruction limit reached!
% 4.97/1.98 % (3070104)------------------------------
% 4.97/1.98 % (3070104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.98 % (3070104)CaDiCaL version: 2.1.3
% 4.97/1.98 % (3070104)Termination reason: Instruction limit
% 4.97/1.98 % (3070104)Termination phase: Property scanning
% 4.97/1.98 % (3070104)Time elapsed: 0.005 s
% 4.97/1.98 % (3070104)Peak memory usage: 85 MB
% 4.97/1.98 % (3070104)Instructions burned: 4 (million)
% 4.97/1.98 % (3070103)Instruction limit reached!
% 4.97/1.98 % (3070103)------------------------------
% 4.97/1.98 % (3070103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.98 % (3070103)CaDiCaL version: 2.1.3
% 4.97/1.98 % (3070103)Termination reason: Instruction limit
% 4.97/1.98 % (3070103)Termination phase: Property scanning
% 4.97/1.98 % (3070103)Time elapsed: 0.007 s
% 4.97/1.98 % (3070103)Peak memory usage: 85 MB
% 4.97/1.98 % (3070103)Instructions burned: 7 (million)
% 4.97/1.98 % (3070105)Instruction limit reached!
% 4.97/1.98 % (3070105)------------------------------
% 4.97/1.98 % (3070105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.98 % (3070105)CaDiCaL version: 2.1.3
% 4.97/1.98 % (3070105)Termination reason: Instruction limit
% 4.97/1.98 % (3070105)Termination phase: Equality resolution with deletion
% 4.97/1.98 % (3070105)Time elapsed: 0.045 s
% 4.97/1.98 % (3070105)Peak memory usage: 88 MB
% 4.97/1.98 % (3070105)Instructions burned: 46 (million)
% 4.97/1.98 % (3070106)Instruction limit reached!
% 4.97/1.98 % (3070106)------------------------------
% 4.97/1.98 % (3070106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.98 % (3070106)CaDiCaL version: 2.1.3
% 4.97/1.98 % (3070106)Termination reason: Instruction limit
% 4.97/1.98 % (3070106)Termination phase: Preprocessing 3
% 4.97/1.98 % (3070106)Time elapsed: 0.033 s
% 4.97/1.98 % (3070106)Peak memory usage: 88 MB
% 4.97/1.98 % (3070106)Instructions burned: 33 (million)
% 4.97/1.98 % (3070102)Instruction limit reached!
% 4.97/1.98 % (3070102)------------------------------
% 4.97/1.98 % (3070102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.98 % (3070102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070102)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070102)Termination reason: Instruction limit
% 7.49/2.25 % (3070102)Termination phase: Saturation
% 7.49/2.25 % (3070102)Time elapsed: 0.137 s
% 7.49/2.25 % (3070102)Peak memory usage: 119 MB
% 7.49/2.25 % (3070102)Instructions burned: 202 (million)
% 7.49/2.25 % (3070114)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3573098967:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2996 on theBenchmark for (2996ds/14Mi)
% 7.49/2.25 % (3070114)Instruction limit reached!
% 7.49/2.25 % (3070114)------------------------------
% 7.49/2.25 % (3070114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.25 % (3070114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070114)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070114)Termination reason: Instruction limit
% 7.49/2.25 % (3070114)Termination phase: Preprocessing 1
% 7.49/2.25 % (3070114)Time elapsed: 0.010 s
% 7.49/2.25 % (3070114)Peak memory usage: 86 MB
% 7.49/2.25 % (3070114)Instructions burned: 15 (million)
% 7.49/2.25 % (3070116)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=272541756:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 7.49/2.25 % (3070115)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=1006731338:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 7.49/2.25 % (3070119)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2721915937:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 7.49/2.25 % (3070116)Instruction limit reached!
% 7.49/2.25 % (3070116)------------------------------
% 7.49/2.25 % (3070116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.25 % (3070116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070116)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070116)Termination reason: Instruction limit
% 7.49/2.25 % (3070116)Termination phase: shuffling
% 7.49/2.25 % (3070116)Time elapsed: 0.017 s
% 7.49/2.25 % (3070116)Peak memory usage: 86 MB
% 7.49/2.25 % (3070116)Instructions burned: 16 (million)
% 7.49/2.25 % (3070115)Instruction limit reached!
% 7.49/2.25 % (3070115)------------------------------
% 7.49/2.25 % (3070115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.25 % (3070115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070115)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070115)Termination reason: Instruction limit
% 7.49/2.25 % (3070115)Termination phase: Preprocessing 3
% 7.49/2.25 % (3070115)Time elapsed: 0.030 s
% 7.49/2.25 % (3070115)Peak memory usage: 87 MB
% 7.49/2.25 % (3070115)Instructions burned: 29 (million)
% 7.49/2.25 % (3070119)Instruction limit reached!
% 7.49/2.25 % (3070119)------------------------------
% 7.49/2.25 % (3070119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.25 % (3070119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070119)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070119)Termination reason: Instruction limit
% 7.49/2.25 % (3070119)Termination phase: Saturation
% 7.49/2.25 % (3070119)Time elapsed: 0.042 s
% 7.49/2.25 % (3070119)Peak memory usage: 90 MB
% 7.49/2.25 % (3070119)Instructions burned: 86 (million)
% 7.49/2.25 % (3070101)Instruction limit reached!
% 7.49/2.25 % (3070101)------------------------------
% 7.49/2.25 % (3070101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.25 % (3070101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.25 % (3070101)CaDiCaL version: 2.1.3
% 7.49/2.25 % (3070101)Termination reason: Instruction limit
% 7.49/2.25 % (3070101)Termination phase: Property scanning
% 7.49/2.25 % (3070101)Time elapsed: 0.309 s
% 7.49/2.25 % (3070101)Peak memory usage: 139 MB
% 7.49/2.25 % (3070101)Instructions burned: 307 (million)
% 7.49/2.25 % (3070117)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=61702277:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.49/2.25 % (3070118)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=1439436023:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.49/2.25 % (3070117)Instruction limit reached!
% 7.49/2.25 % (3070117)------------------------------
% 8.70/2.52 % (3070117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070117)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070117)Termination reason: Instruction limit
% 8.70/2.52 % (3070117)Termination phase: Preprocessing 3
% 8.70/2.52 % (3070117)Time elapsed: 0.025 s
% 8.70/2.52 % (3070117)Peak memory usage: 87 MB
% 8.70/2.52 % (3070117)Instructions burned: 25 (million)
% 8.70/2.52 % (3070118)Instruction limit reached!
% 8.70/2.52 % (3070118)------------------------------
% 8.70/2.52 % (3070118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070118)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070118)Termination reason: Instruction limit
% 8.70/2.52 % (3070118)Termination phase: Preprocessing 3
% 8.70/2.52 % (3070118)Time elapsed: 0.027 s
% 8.70/2.52 % (3070118)Peak memory usage: 87 MB
% 8.70/2.52 % (3070118)Instructions burned: 27 (million)
% 8.70/2.52 % (3070121)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1066263745:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.70/2.52 % (3070121)Instruction limit reached!
% 8.70/2.52 % (3070121)------------------------------
% 8.70/2.52 % (3070121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070121)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070121)Termination reason: Instruction limit
% 8.70/2.52 % (3070121)Termination phase: Property scanning
% 8.70/2.52 % (3070121)Time elapsed: 0.004 s
% 8.70/2.52 % (3070121)Peak memory usage: 85 MB
% 8.70/2.52 % (3070121)Instructions burned: 3 (million)
% 8.70/2.52 % (3070126)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2506057537:i=4:ep=RST:ins=2:rtra=on_2993 on theBenchmark for (2993ds/4Mi)
% 8.70/2.52 % (3070130)lrs+10_1_thi=all:si=on:fd=off:random_seed=1309577227:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 8.70/2.52 % (3070125)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1078178951:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.70/2.52 % (3070126)Instruction limit reached!
% 8.70/2.52 % (3070126)------------------------------
% 8.70/2.52 % (3070126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070126)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070126)Termination reason: Instruction limit
% 8.70/2.52 % (3070126)Termination phase: Property scanning
% 8.70/2.52 % (3070126)Time elapsed: 0.005 s
% 8.70/2.52 % (3070126)Peak memory usage: 85 MB
% 8.70/2.52 % (3070126)Instructions burned: 5 (million)
% 8.70/2.52 % (3070132)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3775730009:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 8.70/2.52 % (3070132)Instruction limit reached!
% 8.70/2.52 % (3070132)------------------------------
% 8.70/2.52 % (3070132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070132)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070132)Termination reason: Instruction limit
% 8.70/2.52 % (3070132)Termination phase: Property scanning
% 8.70/2.52 % (3070132)Time elapsed: 0.002 s
% 8.70/2.52 % (3070132)Peak memory usage: 86 MB
% 8.70/2.52 % (3070132)Instructions burned: 3 (million)
% 8.70/2.52 % (3070129)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2499276566:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 8.70/2.52 % (3070130)Instruction limit reached!
% 8.70/2.52 % (3070130)------------------------------
% 8.70/2.52 % (3070130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.52 % (3070130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.52 % (3070130)CaDiCaL version: 2.1.3
% 8.70/2.52 % (3070130)Termination reason: Instruction limit
% 8.70/2.52 % (3070130)Termination phase: Property scanning
% 8.70/2.52 % (3070130)Time elapsed: 0.052 s
% 8.70/2.52 % (3070130)Peak memory usage: 88 MB
% 8.70/2.52 % (3070130)Instructions burned: 53 (million)
% 10.25/2.79 % (3070134)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=196290669:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.25/2.79 % (3070134)Instruction limit reached!
% 10.25/2.79 % (3070134)------------------------------
% 10.25/2.79 % (3070134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070134)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070134)Termination reason: Instruction limit
% 10.25/2.79 % (3070134)Termination phase: shuffling
% 10.25/2.79 % (3070134)Time elapsed: 0.002 s
% 10.25/2.79 % (3070134)Peak memory usage: 85 MB
% 10.25/2.79 % (3070134)Instructions burned: 2 (million)
% 10.25/2.79 % (3070131)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=668030239:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 10.25/2.79 % (3070131)Instruction limit reached!
% 10.25/2.79 % (3070131)------------------------------
% 10.25/2.79 % (3070131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070131)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070131)Termination reason: Instruction limit
% 10.25/2.79 % (3070131)Termination phase: Property scanning
% 10.25/2.79 % (3070131)Time elapsed: 0.011 s
% 10.25/2.79 % (3070131)Peak memory usage: 86 MB
% 10.25/2.79 % (3070131)Instructions burned: 12 (million)
% 10.25/2.79 % (3070129)Instruction limit reached!
% 10.25/2.79 % (3070129)------------------------------
% 10.25/2.79 % (3070129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070129)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070129)Termination reason: Instruction limit
% 10.25/2.79 % (3070129)Termination phase: Saturation
% 10.25/2.79 % (3070129)Time elapsed: 0.062 s
% 10.25/2.79 % (3070129)Peak memory usage: 89 MB
% 10.25/2.79 % (3070129)Instructions burned: 67 (million)
% 10.25/2.79 % (3070125)Instruction limit reached!
% 10.25/2.79 % (3070125)------------------------------
% 10.25/2.79 % (3070125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070125)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070125)Termination reason: Instruction limit
% 10.25/2.79 % (3070125)Termination phase: Saturation
% 10.25/2.79 % (3070125)Time elapsed: 0.189 s
% 10.25/2.79 % (3070125)Peak memory usage: 92 MB
% 10.25/2.79 % (3070125)Instructions burned: 181 (million)
% 10.25/2.79 % (3070144)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4019329619:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 10.25/2.79 % (3070144)Instruction limit reached!
% 10.25/2.79 % (3070144)------------------------------
% 10.25/2.79 % (3070144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070144)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070144)Termination reason: Instruction limit
% 10.25/2.79 % (3070144)Termination phase: Preprocessing 3
% 10.25/2.79 % (3070144)Time elapsed: 0.012 s
% 10.25/2.79 % (3070144)Peak memory usage: 87 MB
% 10.25/2.79 % (3070144)Instructions burned: 27 (million)
% 10.25/2.79 % (3070138)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=4032052136:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.25/2.79 % (3070141)dis+10_1_si=on:random_seed=2710486972:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.25/2.79 % (3070141)Instruction limit reached!
% 10.25/2.79 % (3070141)------------------------------
% 10.25/2.79 % (3070141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.79 % (3070141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.79 % (3070141)CaDiCaL version: 2.1.3
% 10.25/2.79 % (3070141)Termination reason: Instruction limit
% 10.25/2.79 % (3070141)Termination phase: Property scanning
% 10.25/2.79 % (3070141)Time elapsed: 0.011 s
% 10.25/2.79 % (3070141)Peak memory usage: 86 MB
% 10.25/2.79 % (3070141)Instructions burned: 11 (million)
% 10.25/2.79 % (3070146)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4050448560:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 14.57/3.25 % (3070147)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2133741448:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 14.57/3.25 % (3070147)Instruction limit reached!
% 14.57/3.25 % (3070147)------------------------------
% 14.57/3.25 % (3070147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.25 % (3070147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.25 % (3070147)CaDiCaL version: 2.1.3
% 14.57/3.25 % (3070147)Termination reason: Instruction limit
% 14.57/3.25 % (3070147)Termination phase: shuffling
% 14.57/3.25 % (3070147)Time elapsed: 0.003 s
% 14.57/3.25 % (3070147)Peak memory usage: 85 MB
% 14.57/3.25 % (3070147)Instructions burned: 2 (million)
% 14.57/3.25 % (3070148)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2303097320:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 14.57/3.25 % (3070146)Instruction limit reached!
% 14.57/3.25 % (3070146)------------------------------
% 14.57/3.25 % (3070146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.25 % (3070146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.25 % (3070146)CaDiCaL version: 2.1.3
% 14.57/3.25 % (3070146)Termination reason: Instruction limit
% 14.57/3.25 % (3070146)Termination phase: Preprocessing 3
% 14.57/3.25 % (3070146)Time elapsed: 0.037 s
% 14.57/3.25 % (3070146)Peak memory usage: 88 MB
% 14.57/3.25 % (3070146)Instructions burned: 35 (million)
% 14.57/3.25 % (3070148)Instruction limit reached!
% 14.57/3.25 % (3070148)------------------------------
% 14.57/3.25 % (3070148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.25 % (3070148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.25 % (3070148)CaDiCaL version: 2.1.3
% 14.57/3.25 % (3070148)Termination reason: Instruction limit
% 14.57/3.25 % (3070148)Termination phase: Property scanning
% 14.57/3.25 % (3070148)Time elapsed: 0.008 s
% 14.57/3.25 % (3070148)Peak memory usage: 86 MB
% 14.57/3.25 % (3070148)Instructions burned: 9 (million)
% 14.57/3.25 % (3070138)Instruction limit reached!
% 14.57/3.25 % (3070138)------------------------------
% 14.57/3.25 % (3070138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.25 % (3070138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.25 % (3070138)CaDiCaL version: 2.1.3
% 14.57/3.25 % (3070138)Termination reason: Instruction limit
% 14.57/3.25 % (3070138)Termination phase: Saturation
% 14.57/3.25 % (3070138)Time elapsed: 0.160 s
% 14.57/3.25 % (3070138)Peak memory usage: 118 MB
% 14.57/3.25 % (3070138)Instructions burned: 127 (million)
% 14.57/3.25 % (3070152)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1822414339:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 14.57/3.25 % (3070152)Instruction limit reached!
% 14.57/3.25 % (3070152)------------------------------
% 14.57/3.25 % (3070152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.25 % (3070152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.25 % (3070152)CaDiCaL version: 2.1.3
% 14.57/3.25 % (3070152)Termination reason: Instruction limit
% 14.57/3.25 % (3070152)Termination phase: Property scanning
% 14.57/3.25 % (3070152)Time elapsed: 0.008 s
% 14.57/3.25 % (3070152)Peak memory usage: 85 MB
% 14.57/3.25 % (3070152)Instructions burned: 14 (million)
% 14.57/3.25 % (3070150)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2741475983:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 14.57/3.25 % (3070156)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=729539124:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 14.57/3.25 % (3070163)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=696877867:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 14.57/3.25 % (3070162)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=288327999:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 14.57/3.25 % (3070160)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3715209565:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 16.49/3.59 % (3070166)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3796322824:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/130Mi)
% 16.49/3.59 % (3070160)Instruction limit reached!
% 16.49/3.59 % (3070160)------------------------------
% 16.49/3.59 % (3070160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070160)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070160)Termination reason: Instruction limit
% 16.49/3.59 % (3070160)Termination phase: Preprocessing 1
% 16.49/3.59 % (3070160)Time elapsed: 0.010 s
% 16.49/3.59 % (3070160)Peak memory usage: 86 MB
% 16.49/3.59 % (3070160)Instructions burned: 10 (million)
% 16.49/3.59 % (3070156)Instruction limit reached!
% 16.49/3.59 % (3070156)------------------------------
% 16.49/3.59 % (3070156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070156)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070156)Termination reason: Instruction limit
% 16.49/3.59 % (3070156)Termination phase: Saturation
% 16.49/3.59 % (3070156)Time elapsed: 0.135 s
% 16.49/3.59 % (3070156)Peak memory usage: 118 MB
% 16.49/3.59 % (3070156)Instructions burned: 227 (million)
% 16.49/3.59 % (3070163)Instruction limit reached!
% 16.49/3.59 % (3070163)------------------------------
% 16.49/3.59 % (3070163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070163)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070163)Termination reason: Instruction limit
% 16.49/3.59 % (3070163)Termination phase: Saturation
% 16.49/3.59 % (3070163)Time elapsed: 0.056 s
% 16.49/3.59 % (3070163)Peak memory usage: 90 MB
% 16.49/3.59 % (3070163)Instructions burned: 75 (million)
% 16.49/3.59 % (3070165)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=3532933057:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 16.49/3.59 % (3070162)Instruction limit reached!
% 16.49/3.59 % (3070162)------------------------------
% 16.49/3.59 % (3070162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070162)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070162)Termination reason: Instruction limit
% 16.49/3.59 % (3070162)Termination phase: Saturation
% 16.49/3.59 % (3070162)Time elapsed: 0.088 s
% 16.49/3.59 % (3070162)Peak memory usage: 106 MB
% 16.49/3.59 % (3070162)Instructions burned: 71 (million)
% 16.49/3.59 % (3070166)Instruction limit reached!
% 16.49/3.59 % (3070166)------------------------------
% 16.49/3.59 % (3070166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070166)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070166)Termination reason: Instruction limit
% 16.49/3.59 % (3070166)Termination phase: Clausification
% 16.49/3.59 % (3070166)Time elapsed: 0.142 s
% 16.49/3.59 % (3070166)Peak memory usage: 114 MB
% 16.49/3.59 % (3070166)Instructions burned: 130 (million)
% 16.49/3.59 % (3070150)Instruction limit reached!
% 16.49/3.59 % (3070150)------------------------------
% 16.49/3.59 % (3070150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.49/3.59 % (3070150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/3.59 % (3070150)CaDiCaL version: 2.1.3
% 16.49/3.59 % (3070150)Termination reason: Instruction limit
% 16.49/3.59 % (3070150)Termination phase: Saturation
% 16.49/3.59 % (3070150)Time elapsed: 0.360 s
% 16.49/3.59 % (3070150)Peak memory usage: 94 MB
% 16.49/3.59 % (3070150)Instructions burned: 371 (million)
% 16.49/3.59 % (3070178)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=728517489:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 16.49/3.59 % (3070174)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=579503770:i=131:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 16.49/3.59 % (3070175)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3448431160:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 16.45/3.67 % (3070176)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=4089980636:i=307:rtra=on:gtg=exists_top_2985 on theBenchmark for (2985ds/307Mi)
% 16.45/3.67 % (3070175)Instruction limit reached!
% 16.45/3.67 % (3070175)------------------------------
% 16.45/3.67 % (3070175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070175)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070175)Termination reason: Instruction limit
% 16.45/3.67 % (3070175)Termination phase: Preprocessing 3
% 16.45/3.67 % (3070175)Time elapsed: 0.038 s
% 16.45/3.67 % (3070175)Peak memory usage: 88 MB
% 16.45/3.67 % (3070175)Instructions burned: 40 (million)
% 16.45/3.67 % (3070180)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3939109014:i=131:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/131Mi)
% 16.45/3.67 % (3070165)Instruction limit reached!
% 16.45/3.67 % (3070165)------------------------------
% 16.45/3.67 % (3070165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070165)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070165)Termination reason: Instruction limit
% 16.45/3.67 % (3070165)Termination phase: Property scanning
% 16.45/3.67 % (3070165)Time elapsed: 0.301 s
% 16.45/3.67 % (3070165)Peak memory usage: 139 MB
% 16.45/3.67 % (3070165)Instructions burned: 294 (million)
% 16.45/3.67 % (3070181)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=770480504:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2983 on theBenchmark for (2983ds/259Mi)
% 16.45/3.67 % (3070174)Instruction limit reached!
% 16.45/3.67 % (3070174)------------------------------
% 16.45/3.67 % (3070174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070174)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070174)Termination reason: Instruction limit
% 16.45/3.67 % (3070174)Termination phase: Saturation
% 16.45/3.67 % (3070174)Time elapsed: 0.188 s
% 16.45/3.67 % (3070174)Peak memory usage: 136 MB
% 16.45/3.67 % (3070174)Instructions burned: 131 (million)
% 16.45/3.67 % (3070180)Instruction limit reached!
% 16.45/3.67 % (3070180)------------------------------
% 16.45/3.67 % (3070180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070180)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070180)Termination reason: Instruction limit
% 16.45/3.67 % (3070180)Termination phase: Saturation
% 16.45/3.67 % (3070180)Time elapsed: 0.133 s
% 16.45/3.67 % (3070180)Peak memory usage: 119 MB
% 16.45/3.67 % (3070180)Instructions burned: 131 (million)
% 16.45/3.67 % (3070181)Instruction limit reached!
% 16.45/3.67 % (3070181)------------------------------
% 16.45/3.67 % (3070181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070181)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070181)Termination reason: Instruction limit
% 16.45/3.67 % (3070181)Termination phase: Saturation
% 16.45/3.67 % (3070181)Time elapsed: 0.155 s
% 16.45/3.67 % (3070181)Peak memory usage: 118 MB
% 16.45/3.67 % (3070181)Instructions burned: 259 (million)
% 16.45/3.67 % (3070176)Instruction limit reached!
% 16.45/3.67 % (3070176)------------------------------
% 16.45/3.67 % (3070176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070176)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070176)Termination reason: Instruction limit
% 16.45/3.67 % (3070176)Termination phase: Saturation
% 16.45/3.67 % (3070176)Time elapsed: 0.285 s
% 16.45/3.67 % (3070176)Peak memory usage: 93 MB
% 16.45/3.67 % (3070176)Instructions burned: 308 (million)
% 16.45/3.67 % (3070186)dis+10_1_si=on:random_seed=3732519915:s2a=on:i=1000:rtra=on:gtg=exists_all_2982 on theBenchmark for (2982ds/1000Mi)
% 16.45/3.67 % (3070188)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=808583933:i=383:fsr=off:rtra=on:ev=force_2981 on theBenchmark for (2981ds/383Mi)
% 16.45/3.67 % (3070186)First to succeed.
% 16.45/3.67 % (3070186)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3070091"
% 16.45/3.67 % (3070190)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1101241217:i=141:doe=on:rtra=on_2980 on theBenchmark for (2980ds/141Mi)
% 16.45/3.67 % (3070191)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=914304210:i=65:nm=16:rtra=on_2980 on theBenchmark for (2980ds/65Mi)
% 16.45/3.67 % (3070193)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=17222029:s2a=on:i=128:s2at=5:ins=3:rtra=on_2979 on theBenchmark for (2979ds/128Mi)
% 16.45/3.67 % (3070191)Instruction limit reached!
% 16.45/3.67 % (3070191)------------------------------
% 16.45/3.67 % (3070191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070191)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070191)Termination reason: Instruction limit
% 16.45/3.67 % (3070191)Termination phase: Saturation
% 16.45/3.67 % (3070191)Time elapsed: 0.062 s
% 16.45/3.67 % (3070191)Peak memory usage: 90 MB
% 16.45/3.67 % (3070191)Instructions burned: 65 (million)
% 16.45/3.67 % (3070192)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=3326021199:i=121:nm=16:rtra=on_2979 on theBenchmark for (2979ds/121Mi)
% 16.45/3.67 % (3070193)Instruction limit reached!
% 16.45/3.67 % (3070193)------------------------------
% 16.45/3.67 % (3070193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070193)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070193)Termination reason: Instruction limit
% 16.45/3.67 % (3070193)Termination phase: Saturation
% 16.45/3.67 % (3070193)Time elapsed: 0.086 s
% 16.45/3.67 % (3070193)Peak memory usage: 119 MB
% 16.45/3.67 % (3070193)Instructions burned: 129 (million)
% 16.45/3.67 % (3070190)Instruction limit reached!
% 16.45/3.67 % (3070190)------------------------------
% 16.45/3.67 % (3070190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070190)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070190)Termination reason: Instruction limit
% 16.45/3.67 % (3070190)Termination phase: Saturation
% 16.45/3.67 % (3070190)Time elapsed: 0.144 s
% 16.45/3.67 % (3070190)Peak memory usage: 92 MB
% 16.45/3.67 % (3070190)Instructions burned: 142 (million)
% 16.45/3.67 % (3070178)Instruction limit reached!
% 16.45/3.67 % (3070178)------------------------------
% 16.45/3.67 % (3070178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070178)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070178)Termination reason: Instruction limit
% 16.45/3.67 % (3070178)Termination phase: Saturation
% 16.45/3.67 % (3070178)Time elapsed: 0.661 s
% 16.45/3.67 % (3070178)Peak memory usage: 139 MB
% 16.45/3.67 % (3070178)Instructions burned: 599 (million)
% 16.45/3.67 % (3070192)Instruction limit reached!
% 16.45/3.67 % (3070192)------------------------------
% 16.45/3.67 % (3070192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070192)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070192)Termination reason: Instruction limit
% 16.45/3.67 % (3070192)Termination phase: Saturation
% 16.45/3.67 % (3070192)Time elapsed: 0.119 s
% 16.45/3.67 % (3070192)Peak memory usage: 91 MB
% 16.45/3.67 % (3070192)Instructions burned: 121 (million)
% 16.45/3.67 % (3070202)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1573308415:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/329Mi)
% 16.45/3.67 % (3070201)dis+1010_1_to=kbo:si=on:random_seed=137247017:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2976 on theBenchmark for (2976ds/175Mi)
% 16.45/3.67 % (3070188)Instruction limit reached!
% 16.45/3.67 % (3070188)------------------------------
% 16.45/3.67 % (3070188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070188)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070188)Termination reason: Instruction limit
% 16.45/3.67 % (3070188)Termination phase: Saturation
% 16.45/3.67 % (3070188)Time elapsed: 0.409 s
% 16.45/3.67 % (3070188)Peak memory usage: 97 MB
% 16.45/3.67 % (3070188)Instructions burned: 384 (million)
% 16.45/3.67 % (3070199)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=985327102:i=39:ins=3:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 16.45/3.67 % (3070199)Instruction limit reached!
% 16.45/3.67 % (3070199)------------------------------
% 16.45/3.67 % (3070199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.45/3.67 % (3070199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.45/3.67 % (3070199)CaDiCaL version: 2.1.3
% 16.45/3.67 % (3070199)Termination reason: Instruction limit
% 16.45/3.67 % (3070199)Termination phase: Property scanning
% 16.45/3.67 % (3070199)Time elapsed: 0.040 s
% 16.45/3.67 % (3070199)Peak memory usage: 88 MB
% 16.45/3.67 % (3070199)Instructions burned: 40 (million)
% 16.45/3.67 % (3070186)Refutation found. Thanks to Tanya!
% 16.45/3.67 % SZS status Theorem for theBenchmark
% 16.45/3.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/4.05 % (3070186)------------------------------
% 0.21/4.05 % (3070186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/4.05 % (3070186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/4.05 % (3070186)CaDiCaL version: 2.1.3
% 0.21/4.05 % (3070186)Termination reason: Refutation
% 0.21/4.05 % (3070186)Time elapsed: 0.136 s
% 0.21/4.05 % (3070186)Peak memory usage: 92 MB
% 0.21/4.05 % (3070186)Instructions burned: 134 (million)
% 0.21/4.05 % (3070186)------------------------------
% 0.21/4.05 % (3070186)------------------------------
% 0.21/4.05 % (3070091)Success in time 2.585 s
% 0.21/4.05 % Vampire exiting
%------------------------------------------------------------------------------