%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP364_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 : n008.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 11:33:42 AM UTC 2026
% Result : Theorem 6.80s 1.92s
% Output : Refutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 24 unt; 0 typ; 5 def)
% Number of atoms : 36 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 25 ( 23 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 138 ( 138 usr; 22 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_set_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_bool_fun_a_ltln_set_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_set_int_fun$': $tType ).
tff(type_def_9,type,
'Int_int_fun$': $tType ).
tff(type_def_10,type,
'Nat_a_set_fun_bool_fun$': $tType ).
tff(type_def_11,type,
'Nat_nat_fun$': $tType ).
tff(type_def_12,type,
'Nat$': $tType ).
tff(type_def_13,type,
tlbool: $tType ).
tff(type_def_14,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_15,type,
'A_ltln_set$': $tType ).
tff(type_def_16,type,
'Int_a_ltln_set_fun$': $tType ).
tff(type_def_17,type,
'A_ltln$': $tType ).
tff(type_def_18,type,
'A_ltln_bool_fun_int_fun$': $tType ).
tff(type_def_19,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_20,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_21,type,
'Int_int_int_fun_fun$': $tType ).
tff(type_def_22,type,
'Nat_a_set_fun_set$': $tType ).
tff(type_def_23,type,
'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_25,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_26,type,
'Nat_bool_fun$': $tType ).
tff(type_def_27,type,
'Nat_set$': $tType ).
tff(func_def_0,type,
'inf$d': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_1,type,
'w$': 'Nat_a_set_fun$' ).
tff(func_def_2,type,
'sup$a': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_3,type,
'uue$': 'A_ltln_set$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_4,type,
def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_5,type,
'uu$': 'Nat_bool_fun$' ).
tff(func_def_6,type,
'uup$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_7,type,
'inf$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_8,type,
'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_9,type,
'psi_1$': 'A_ltln$' ).
tff(func_def_10,type,
'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_11,type,
'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_12,type,
'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_13,type,
'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_14,type,
'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_15,type,
'uuk$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_16,type,
'uul$': 'A_ltln_set_a_ltln_bool_fun_fun$' ).
tff(func_def_17,type,
'fun_app$m': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).
tff(func_def_18,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_19,type,
'inf$b': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_20,type,
'uus$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).
tff(func_def_21,type,
'uvc$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).
tff(func_def_22,type,
'uut$': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_23,type,
def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_24,type,
'uuu$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).
tff(func_def_25,type,
'uuw$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_26,type,
'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_27,type,
def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_28,type,
'uuh$': 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_29,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_30,type,
'uux$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_31,type,
'uui$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_32,type,
'uuj$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_33,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_34,type,
'uvb$': 'A_ltln$' > 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
'uuv$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_36,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_37,type,
'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).
tff(func_def_38,type,
'fun_app$j': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_39,type,
def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_40,type,
'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_41,type,
'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_42,type,
'collect$b': 'A_ltln_bool_fun_a_ltln_set_fun$' ).
tff(func_def_43,type,
tltrue: tlbool ).
tff(func_def_44,type,
'uva$': 'Int_int_bool_fun_fun$' ).
tff(func_def_45,type,
'inf$a': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_set$' ).
tff(func_def_46,type,
'uur$': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).
tff(func_def_47,type,
'eps$': 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_48,type,
'fun_app$i': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).
tff(func_def_49,type,
'fun_app$k': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).
tff(func_def_50,type,
'fun_app$l': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_51,type,
'uub$': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_52,type,
'uuf$': ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_53,type,
'uum$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_54,type,
'fun_app$n': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_55,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_56,type,
def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_57,type,
'uua$': 'A_ltln$' > 'A_ltln_bool_fun$' ).
tff(func_def_58,type,
'fun_app$f': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_59,type,
'fun_app$g': ( 'A_ltln_bool_fun_a_ltln_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_set$' ).
tff(func_def_60,type,
def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_61,type,
'nu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_62,type,
'inf$c': 'Int_int_int_fun_fun$' ).
tff(func_def_63,type,
'psi_2$': 'A_ltln$' ).
tff(func_def_64,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_65,type,
'uuy$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_66,type,
'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_67,type,
'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_68,type,
'eps$a': 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_69,type,
'fun_app$o': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_70,type,
'uuz$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_71,type,
'subfrmlsn$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_72,type,
'uud$': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_73,type,
'fG_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_74,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_75,type,
'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).
tff(func_def_76,type,
def_5: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_77,type,
tlfalse: tlbool ).
tff(func_def_78,type,
'uug$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_79,type,
'nat$': $int > 'Nat$' ).
tff(func_def_80,type,
def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_81,type,
'uuq$': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_82,type,
'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_83,type,
'uuc$': 'A_ltln$' > 'A_ltln_bool_fun$' ).
tff(func_def_84,type,
'fun_app$e': ( 'A_ltln_set_a_ltln_bool_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_85,type,
'uuo$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_86,type,
'sup$': 'Int_int_int_fun_fun$' ).
tff(func_def_87,type,
'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_88,type,
'fun_app$h': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_89,type,
'phi$': 'A_ltln$' ).
tff(func_def_90,type,
'uun$': 'Int_int_bool_fun_fun$' ).
tff(func_def_91,type,
'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_93,type,
sK3: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_94,type,
sK4: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_95,type,
sK5: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_96,type,
sK6: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_97,type,
sK7: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_98,type,
sK8: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_99,type,
sK9: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_100,type,
sK10: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_101,type,
sK11: $int > $int ).
tff(func_def_102,type,
sK12: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_103,type,
sK13: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_104,type,
sK14: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_105,type,
sK15: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_106,type,
sK16: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_107,type,
sK17: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_108,type,
sK18: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_109,type,
sK19: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_110,type,
sK20: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_111,type,
sK21: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_112,type,
sK22: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_113,type,
sK23: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_114,type,
sK24: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_115,type,
sK25: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_116,type,
sK26: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_117,type,
sK27: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_118,type,
sK28: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_119,type,
sK29: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_120,type,
sK30: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).
tff(func_def_121,type,
sK31: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_122,type,
sK32: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_123,type,
sK33: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_124,type,
sK34: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_125,type,
sK35: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_126,type,
sK36: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_127,type,
sK37: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_128,type,
sK38: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_129,type,
sK39: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_130,type,
sK40: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_131,type,
sK41: 'Nat$' ).
tff(func_def_132,type,
sK42: 'A_ltln_bool_fun$' > 'A_ltln$' ).
tff(func_def_133,type,
sK43: $int > $int ).
tff(func_def_134,type,
sF44: 'Nat$' ).
tff(func_def_135,type,
sF45: 'Nat_a_set_fun$' ).
tff(func_def_136,type,
sF46: 'A_ltln_bool_fun$' ).
tff(func_def_137,type,
sF47: 'A_ltln$' ).
tff(func_def_138,type,
sF48: 'A_ltln$' ).
tff(pred_def_1,type,
'fun_app$a': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_2,type,
'less_eq$c': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_3,type,
'less_eq$b': ( tlbool * tlbool ) > $o ).
tff(pred_def_4,type,
'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_5,type,
'less$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_6,type,
'less_eq$d': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_7,type,
'fun_app$': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_8,type,
'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_9,type,
'fun_app$d': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).
tff(pred_def_10,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_11,type,
'member$b': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_12,type,
'less$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_13,type,
'semilattice_order_set$': ( 'Int_int_int_fun_fun$' * 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).
tff(pred_def_14,type,
'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_15,type,
'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_18,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_19,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_20,type,
sP2: ( $int * $int * $int ) > $o ).
tff(f31,conjecture,
'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture30) ).
tff(f32,negated_conjecture,
~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
inference(negated_conjecture,[status(cth)],[f31]) ).
tff(f34,axiom,
'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).
tff(f36,axiom,
'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).
tff(f41,axiom,
! [X1: 'A_ltln$',X0: 'A_ltln$',X2: 'Nat_a_set_fun$'] :
( 'member$'(X0,'g$'(X1,X2))
=> 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom39) ).
tff(f825,plain,
~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
inference(flattening,[],[f32]) ).
tff(f855,plain,
! [X2: 'Nat_a_set_fun$',X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'member$'(X1,'g$'(X0,X2))
=> 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X1)) ),
inference(rectify,[],[f41]) ).
tff(f1185,plain,
! [X1: 'A_ltln$',X2: 'Nat_a_set_fun$',X0: 'A_ltln$'] :
( 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X1))
| ~ 'member$'(X1,'g$'(X0,X2)) ),
inference(ennf_transformation,[],[f855]) ).
tff(f1352,plain,
! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$',X2: 'A_ltln$'] :
( 'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('false_ltln$',X0))
| ~ 'member$'(X0,'g$'(X2,X1)) ),
inference(rectify,[],[f1185]) ).
tff(f1553,plain,
~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
inference(cnf_transformation,[],[f825]) ).
tff(f1648,plain,
'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
inference(cnf_transformation,[],[f36]) ).
tff(f1723,plain,
'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
inference(cnf_transformation,[],[f34]) ).
tff(f1738,plain,
! [X2: 'A_ltln$',X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] :
( 'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('false_ltln$',X0))
| ~ 'member$'(X0,'g$'(X2,X1)) ),
inference(cnf_transformation,[],[f1352]) ).
tff(f2116,definition,
sF44 = 'eps$'('uu$'),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
tff(f2117,plain,
'eps$'('uu$') = sF44,
inference(reorient_equations,[],[f2116]) ).
tff(f2118,definition,
sF45 = 'suffix$'(sF44,'w$'),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
tff(f2119,definition,
sF46 = 'semantics_ltln$'(sF45),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
tff(f2120,plain,
'semantics_ltln$'(sF45) = sF46,
inference(reorient_equations,[],[f2119]) ).
tff(f2121,definition,
sF47 = 'weakUntil_ltln$'('psi_1$','psi_2$'),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
tff(f2122,plain,
'weakUntil_ltln$'('psi_1$','psi_2$') = sF47,
inference(reorient_equations,[],[f2121]) ).
tff(f2123,definition,
sF48 = 'release_ltln$'('false_ltln$',sF47),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
tff(f2124,plain,
~ 'fun_app$a'(sF46,sF48),
inference(definition_folding,[],[f1553,f2123,f2122,f2120,f2118,f2117]) ).
tff(f2200,plain,
'member$'(sF47,'f_G$'('phi$','w$')),
inference(forward_demodulation,[],[f1723,f2122]) ).
tff(f2454,plain,
'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'(sF44,'w$')),
inference(forward_demodulation,[],[f1648,f2117]) ).
tff(f2455,plain,
'f_G$'('phi$','w$') = 'g$'('phi$',sF45),
inference(forward_demodulation,[],[f2454,f2118]) ).
tff(f2457,plain,
'member$'(sF47,'g$'('phi$',sF45)),
inference(superposition,[],[f2200,f2455]) ).
tff(f2605,plain,
! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
( ~ 'member$'(sF47,'g$'(X1,X0))
| 'fun_app$a'('semantics_ltln$'(X0),sF48) ),
inference(superposition,[],[f1738,f2123]) ).
tff(f2608,plain,
'fun_app$a'('semantics_ltln$'(sF45),sF48),
inference(resolution,[],[f2605,f2457]) ).
tff(f2612,plain,
'fun_app$a'(sF46,sF48),
inference(forward_demodulation,[],[f2608,f2120]) ).
tff(f2613,plain,
$false,
inference(forward_subsumption_resolution,[],[f2612,f2124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP364_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 12:56:10 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/1.48 % (1196944)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.89/1.48 % (1196965)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=705979942:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.89/1.48 % (1196965)Instruction limit reached!
% 3.89/1.48 % (1196965)------------------------------
% 3.89/1.48 % (1196965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.48 % (1196965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.48 % (1196965)CaDiCaL version: 2.1.3
% 3.89/1.48 % (1196965)Termination reason: Instruction limit
% 3.89/1.48 % (1196965)Termination phase: Property scanning
% 3.89/1.48 % (1196965)Time elapsed: 0.012 s
% 3.89/1.48 % (1196965)Peak memory usage: 88 MB
% 3.89/1.48 % (1196965)Instructions burned: 34 (million)
% 3.89/1.48 % (1196964)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1801387493:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.89/1.48 % (1196962)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4164852878:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.89/1.48 % (1196959)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1906747546:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.89/1.48 % (1196962)Instruction limit reached!
% 3.89/1.48 % (1196962)------------------------------
% 3.89/1.48 % (1196962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.48 % (1196962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.48 % (1196962)CaDiCaL version: 2.1.3
% 3.89/1.48 % (1196962)Termination reason: Instruction limit
% 3.89/1.48 % (1196962)Termination phase: Property scanning
% 3.89/1.48 % (1196962)Time elapsed: 0.007 s
% 3.89/1.48 % (1196962)Peak memory usage: 85 MB
% 3.89/1.48 % (1196962)Instructions burned: 7 (million)
% 3.89/1.48 % (1196961)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2939118066:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.89/1.48 % (1196959)Instruction limit reached!
% 3.89/1.48 % (1196959)------------------------------
% 3.89/1.48 % (1196959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.48 % (1196959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.48 % (1196959)CaDiCaL version: 2.1.3
% 3.89/1.48 % (1196959)Termination reason: Instruction limit
% 3.89/1.48 % (1196959)Termination phase: shuffling
% 3.89/1.48 % (1196959)Time elapsed: 0.012 s
% 3.89/1.48 % (1196959)Peak memory usage: 85 MB
% 3.89/1.48 % (1196959)Instructions burned: 12 (million)
% 3.89/1.48 % (1196964)Instruction limit reached!
% 3.89/1.48 % (1196964)------------------------------
% 3.89/1.48 % (1196964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.48 % (1196964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.48 % (1196964)CaDiCaL version: 2.1.3
% 3.89/1.48 % (1196964)Termination reason: Instruction limit
% 3.89/1.48 % (1196964)Termination phase: Property scanning
% 3.89/1.48 % (1196964)Time elapsed: 0.036 s
% 3.89/1.48 % (1196964)Peak memory usage: 88 MB
% 3.89/1.48 % (1196964)Instructions burned: 46 (million)
% 3.89/1.48 % (1196960)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3259414494:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.89/1.48 % (1196963)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4131184808:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.89/1.48 % (1196963)Instruction limit reached!
% 3.89/1.48 % (1196963)------------------------------
% 3.89/1.48 % (1196963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.48 % (1196963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.48 % (1196963)CaDiCaL version: 2.1.3
% 3.89/1.48 % (1196963)Termination reason: Instruction limit
% 3.89/1.48 % (1196963)Termination phase: Property scanning
% 3.89/1.48 % (1196963)Time elapsed: 0.005 s
% 3.89/1.48 % (1196963)Peak memory usage: 85 MB
% 3.89/1.48 % (1196963)Instructions burned: 4 (million)
% 3.89/1.48 % (1196967)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=751572494:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.89/1.48 % (1196967)Instruction limit reached!
% 3.89/1.48 % (1196967)------------------------------
% 5.07/1.66 % (1196967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196967)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196967)Termination reason: Instruction limit
% 5.07/1.66 % (1196967)Termination phase: shuffling
% 5.07/1.66 % (1196967)Time elapsed: 0.007 s
% 5.07/1.66 % (1196967)Peak memory usage: 86 MB
% 5.07/1.66 % (1196967)Instructions burned: 15 (million)
% 5.07/1.66 % (1196975)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=1775214301:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.07/1.66 % (1196979)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1917403403:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.07/1.66 % (1196983)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3774146784:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.07/1.66 % (1196980)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=4111984107:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.07/1.66 % (1196976)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3817628681:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.07/1.66 % (1196961)Instruction limit reached!
% 5.07/1.66 % (1196961)------------------------------
% 5.07/1.66 % (1196961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196961)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196961)Termination reason: Instruction limit
% 5.07/1.66 % (1196961)Termination phase: Saturation
% 5.07/1.66 % (1196961)Time elapsed: 0.226 s
% 5.07/1.66 % (1196961)Peak memory usage: 119 MB
% 5.07/1.66 % (1196961)Instructions burned: 201 (million)
% 5.07/1.66 % (1196975)Instruction limit reached!
% 5.07/1.66 % (1196975)------------------------------
% 5.07/1.66 % (1196975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196975)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196975)Termination reason: Instruction limit
% 5.07/1.66 % (1196975)Termination phase: Preprocessing 3
% 5.07/1.66 % (1196975)Time elapsed: 0.031 s
% 5.07/1.66 % (1196975)Peak memory usage: 88 MB
% 5.07/1.66 % (1196975)Instructions burned: 29 (million)
% 5.07/1.66 % (1196979)Instruction limit reached!
% 5.07/1.66 % (1196979)------------------------------
% 5.07/1.66 % (1196979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196979)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196979)Termination reason: Instruction limit
% 5.07/1.66 % (1196979)Termination phase: Preprocessing 3
% 5.07/1.66 % (1196979)Time elapsed: 0.026 s
% 5.07/1.66 % (1196979)Peak memory usage: 88 MB
% 5.07/1.66 % (1196979)Instructions burned: 24 (million)
% 5.07/1.66 % (1196976)Instruction limit reached!
% 5.07/1.66 % (1196976)------------------------------
% 5.07/1.66 % (1196976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196976)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196976)Termination reason: Instruction limit
% 5.07/1.66 % (1196976)Termination phase: Preprocessing 3
% 5.07/1.66 % (1196976)Time elapsed: 0.017 s
% 5.07/1.66 % (1196976)Peak memory usage: 87 MB
% 5.07/1.66 % (1196976)Instructions burned: 16 (million)
% 5.07/1.66 % (1196980)Instruction limit reached!
% 5.07/1.66 % (1196980)------------------------------
% 5.07/1.66 % (1196980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.66 % (1196980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.66 % (1196980)CaDiCaL version: 2.1.3
% 5.07/1.66 % (1196980)Termination reason: Instruction limit
% 5.07/1.66 % (1196980)Termination phase: Preprocessing 3
% 5.07/1.66 % (1196980)Time elapsed: 0.024 s
% 5.07/1.66 % (1196980)Peak memory usage: 88 MB
% 5.07/1.66 % (1196980)Instructions burned: 27 (million)
% 5.07/1.66 % (1196983)Instruction limit reached!
% 5.07/1.66 % (1196983)------------------------------
% 6.80/1.91 % (1196983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196983)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196983)Termination reason: Instruction limit
% 6.80/1.91 % (1196983)Termination phase: Saturation
% 6.80/1.91 % (1196983)Time elapsed: 0.037 s
% 6.80/1.91 % (1196983)Peak memory usage: 91 MB
% 6.80/1.91 % (1196983)Instructions burned: 88 (million)
% 6.80/1.91 % (1196992)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4105296183:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 6.80/1.91 % (1196992)Instruction limit reached!
% 6.80/1.91 % (1196992)------------------------------
% 6.80/1.91 % (1196992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196992)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196992)Termination reason: Instruction limit
% 6.80/1.91 % (1196992)Termination phase: shuffling
% 6.80/1.91 % (1196992)Time elapsed: 0.003 s
% 6.80/1.91 % (1196992)Peak memory usage: 85 MB
% 6.80/1.91 % (1196992)Instructions burned: 2 (million)
% 6.80/1.91 % (1196960)Instruction limit reached!
% 6.80/1.91 % (1196960)------------------------------
% 6.80/1.91 % (1196960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196960)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196960)Termination reason: Instruction limit
% 6.80/1.91 % (1196960)Termination phase: Saturation
% 6.80/1.91 % (1196960)Time elapsed: 0.374 s
% 6.80/1.91 % (1196960)Peak memory usage: 119 MB
% 6.80/1.91 % (1196960)Instructions burned: 307 (million)
% 6.80/1.91 % (1196995)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4221737336:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 6.80/1.91 % (1196996)lrs+10_1_thi=all:si=on:fd=off:random_seed=31270590:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 6.80/1.91 % (1196993)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=724054982:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 6.80/1.91 % (1196994)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3352218735:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 6.80/1.91 % (1196994)Instruction limit reached!
% 6.80/1.91 % (1196994)------------------------------
% 6.80/1.91 % (1196994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196994)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196994)Termination reason: Instruction limit
% 6.80/1.91 % (1196994)Termination phase: Property scanning
% 6.80/1.91 % (1196994)Time elapsed: 0.005 s
% 6.80/1.91 % (1196994)Peak memory usage: 85 MB
% 6.80/1.91 % (1196994)Instructions burned: 4 (million)
% 6.80/1.91 % (1196997)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=877466643:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.80/1.91 % (1196997)Instruction limit reached!
% 6.80/1.91 % (1196997)------------------------------
% 6.80/1.91 % (1196997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196997)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196997)Termination reason: Instruction limit
% 6.80/1.91 % (1196997)Termination phase: Property scanning
% 6.80/1.91 % (1196997)Time elapsed: 0.008 s
% 6.80/1.91 % (1196997)Peak memory usage: 85 MB
% 6.80/1.91 % (1196997)Instructions burned: 8 (million)
% 6.80/1.91 % (1196996)Instruction limit reached!
% 6.80/1.91 % (1196996)------------------------------
% 6.80/1.91 % (1196996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196996)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196996)Termination reason: Instruction limit
% 6.80/1.91 % (1196996)Termination phase: Property scanning
% 6.80/1.91 % (1196996)Time elapsed: 0.052 s
% 6.80/1.91 % (1196996)Peak memory usage: 88 MB
% 6.80/1.91 % (1196996)Instructions burned: 53 (million)
% 6.80/1.91 % (1196993)First to succeed.
% 6.80/1.91 % (1197001)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3162686154:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.80/1.91 % (1197001)Instruction limit reached!
% 6.80/1.91 % (1197001)------------------------------
% 6.80/1.91 % (1197001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197001)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197001)Termination reason: Instruction limit
% 6.80/1.91 % (1197001)Termination phase: Property scanning
% 6.80/1.91 % (1197001)Time elapsed: 0.002 s
% 6.80/1.91 % (1197001)Peak memory usage: 85 MB
% 6.80/1.91 % (1197001)Instructions burned: 3 (million)
% 6.80/1.91 % (1196993)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1196944"
% 6.80/1.91 % (1196995)Instruction limit reached!
% 6.80/1.91 % (1196995)------------------------------
% 6.80/1.91 % (1196995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1196995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1196995)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1196995)Termination reason: Instruction limit
% 6.80/1.91 % (1196995)Termination phase: Saturation
% 6.80/1.91 % (1196995)Time elapsed: 0.089 s
% 6.80/1.91 % (1196995)Peak memory usage: 130 MB
% 6.80/1.91 % (1196995)Instructions burned: 66 (million)
% 6.80/1.91 % (1197002)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=558886520:i=2:doe=on:canc=force:asg=cautious:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.80/1.91 % (1197002)Instruction limit reached!
% 6.80/1.91 % (1197002)------------------------------
% 6.80/1.91 % (1197002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197002)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197002)Termination reason: Instruction limit
% 6.80/1.91 % (1197002)Termination phase: shuffling
% 6.80/1.91 % (1197002)Time elapsed: 0.003 s
% 6.80/1.91 % (1197002)Peak memory usage: 85 MB
% 6.80/1.91 % (1197002)Instructions burned: 2 (million)
% 6.80/1.91 % (1197014)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=323239720: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_2992 on theBenchmark for (2992ds/35Mi)
% 6.80/1.91 % (1197011)dis+10_1_si=on:random_seed=1757731699:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 6.80/1.91 % (1197011)Instruction limit reached!
% 6.80/1.91 % (1197011)------------------------------
% 6.80/1.91 % (1197011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197011)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197011)Termination reason: Instruction limit
% 6.80/1.91 % (1197011)Termination phase: Property scanning
% 6.80/1.91 % (1197011)Time elapsed: 0.009 s
% 6.80/1.91 % (1197011)Peak memory usage: 86 MB
% 6.80/1.91 % (1197011)Instructions burned: 11 (million)
% 6.80/1.91 % (1197010)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2649263701:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 6.80/1.91 % (1197016)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1929855751:i=2:fsr=off:rtra=on:inst=on_2992 on theBenchmark for (2992ds/2Mi)
% 6.80/1.91 % (1197014)Instruction limit reached!
% 6.80/1.91 % (1197014)------------------------------
% 6.80/1.91 % (1197014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197014)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197014)Termination reason: Instruction limit
% 6.80/1.91 % (1197014)Termination phase: Property scanning
% 6.80/1.91 % (1197014)Time elapsed: 0.021 s
% 6.80/1.91 % (1197014)Peak memory usage: 88 MB
% 6.80/1.91 % (1197014)Instructions burned: 36 (million)
% 6.80/1.91 % (1197016)Instruction limit reached!
% 6.80/1.91 % (1197016)------------------------------
% 6.80/1.91 % (1197016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197016)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197016)Termination reason: Instruction limit
% 6.80/1.91 % (1197016)Termination phase: Property scanning
% 6.80/1.91 % (1197016)Time elapsed: 0.003 s
% 6.80/1.91 % (1197016)Peak memory usage: 86 MB
% 6.80/1.91 % (1197016)Instructions burned: 2 (million)
% 6.80/1.91 % (1197012)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1365778120:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 6.80/1.91 % (1197012)Instruction limit reached!
% 6.80/1.91 % (1197012)------------------------------
% 6.80/1.91 % (1197012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197012)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197012)Termination reason: Instruction limit
% 6.80/1.91 % (1197012)Termination phase: Preprocessing 3
% 6.80/1.91 % (1197012)Time elapsed: 0.022 s
% 6.80/1.91 % (1197012)Peak memory usage: 87 MB
% 6.80/1.91 % (1197012)Instructions burned: 26 (million)
% 6.80/1.91 % (1197025)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=172389795:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/13Mi)
% 6.80/1.91 % (1197025)Instruction limit reached!
% 6.80/1.91 % (1197025)------------------------------
% 6.80/1.91 % (1197025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197025)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197025)Termination reason: Instruction limit
% 6.80/1.91 % (1197025)Termination phase: shuffling
% 6.80/1.91 % (1197025)Time elapsed: 0.006 s
% 6.80/1.91 % (1197025)Peak memory usage: 85 MB
% 6.80/1.91 % (1197025)Instructions burned: 13 (million)
% 6.80/1.91 % (1197019)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2109810939:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2991 on theBenchmark for (2991ds/8Mi)
% 6.80/1.91 % (1197010)Instruction limit reached!
% 6.80/1.91 % (1197010)------------------------------
% 6.80/1.91 % (1197010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197010)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197010)Termination reason: Instruction limit
% 6.80/1.91 % (1197010)Termination phase: Saturation
% 6.80/1.91 % (1197010)Time elapsed: 0.166 s
% 6.80/1.91 % (1197010)Peak memory usage: 118 MB
% 6.80/1.91 % (1197010)Instructions burned: 127 (million)
% 6.80/1.91 % (1197019)Instruction limit reached!
% 6.80/1.91 % (1197019)------------------------------
% 6.80/1.91 % (1197019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.91 % (1197019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.91 % (1197019)CaDiCaL version: 2.1.3
% 6.80/1.91 % (1197019)Termination reason: Instruction limit
% 6.80/1.91 % (1197019)Termination phase: Property scanning
% 6.80/1.91 % (1197019)Time elapsed: 0.009 s
% 6.80/1.91 % (1197019)Peak memory usage: 86 MB
% 6.80/1.91 % (1197019)Instructions burned: 8 (million)
% 6.80/1.91 % (1197026)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=648810206:i=226:rtra=on:gtg=position:ss=axioms_2990 on theBenchmark for (2990ds/226Mi)
% 6.80/1.91 % (1197024)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2254267268:i=370:ep=RS:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/370Mi)
% 6.80/1.92 % (1196993)Refutation found. Thanks to Tanya!
% 6.80/1.92 % SZS status Theorem for theBenchmark
% 6.80/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 8.67/2.17 % (1196993)------------------------------
% 8.67/2.17 % (1196993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.17 % (1196993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.17 % (1196993)CaDiCaL version: 2.1.3
% 8.67/2.17 % (1196993)Termination reason: Refutation
% 8.67/2.17 % (1196993)Time elapsed: 0.062 s
% 8.67/2.17 % (1196993)Peak memory usage: 91 MB
% 8.67/2.17 % (1196993)Instructions burned: 54 (million)
% 8.67/2.17 % (1196993)------------------------------
% 8.67/2.17 % (1196993)------------------------------
% 8.67/2.17 % (1196944)Success in time 1.152 s
% 8.67/2.17 % Vampire exiting
%------------------------------------------------------------------------------