%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP358_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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:41 AM UTC 2026
% Result : Theorem 9.02s 2.50s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 16 ( 0 atm; 4 fun; 12 num; 0 var)
% Number of types : 33 ( 31 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-3 aty)
% Number of functors : 304 ( 301 usr; 29 con; 0-4 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_set_int_fun$': $tType ).
tff(type_def_9,type,
'Int_int_fun$': $tType ).
tff(type_def_10,type,
'Nat_a_set_fun_bool_fun$': $tType ).
tff(type_def_11,type,
'Nat_a_ltln_set_fun$': $tType ).
tff(type_def_12,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_13,type,
'Nat_nat_fun$': $tType ).
tff(type_def_14,type,
'Nat$': $tType ).
tff(type_def_15,type,
'Nat_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_16,type,
'A_ltln_a_ltln_bool_fun_fun_int_fun$': $tType ).
tff(type_def_17,type,
'Int_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_18,type,
tlbool: $tType ).
tff(type_def_19,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_20,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_21,type,
'A_set$': $tType ).
tff(type_def_22,type,
'A_ltln_set$': $tType ).
tff(type_def_23,type,
'Int_a_ltln_set_fun$': $tType ).
tff(type_def_24,type,
'A_set_list$': $tType ).
tff(type_def_25,type,
'A_ltln$': $tType ).
tff(type_def_26,type,
'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_27,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_28,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_29,type,
'Int_int_int_fun_fun$': $tType ).
tff(type_def_30,type,
'Nat_a_set_fun_set$': $tType ).
tff(type_def_31,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_32,type,
'Nat_bool_fun$': $tType ).
tff(type_def_33,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_34,type,
'Nat_int_fun$': $tType ).
tff(type_def_35,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'uum$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_1,type,
'inf$b': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' ).
tff(func_def_2,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_3,type,
'fun_app$m': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_4,type,
'fun_app$u': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_5,type,
'ordering_top$': ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_6,type,
'fun_app$w': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).
tff(func_def_7,type,
'inf$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_8,type,
'fun_app$h': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_9,type,
'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_10,type,
'fun_app$k': ( 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' * 'Nat$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_11,type,
'uug$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_12,type,
'uup$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_13,type,
'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_14,type,
'phi_2$': 'A_ltln$' ).
tff(func_def_15,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_16,type,
'fun_app$n': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).
tff(func_def_17,type,
'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_18,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_19,type,
'wa$': 'Nat_a_set_fun$' ).
tff(func_def_20,type,
'build$': ( 'A_set$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_21,type,
'fun_app$l': ( 'Nat_a_ltln_set_fun$' * 'Nat$' ) > 'A_ltln_set$' ).
tff(func_def_22,type,
'fun_app$a': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_23,type,
'mu_LTL$': 'A_ltln_set$' ).
tff(func_def_24,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_25,type,
'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).
tff(func_def_26,type,
'i$': 'Nat$' ).
tff(func_def_27,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_28,type,
'uud$': 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' ).
tff(func_def_29,type,
'inf$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_30,type,
'conc$': ( 'A_set_list$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_31,type,
'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_32,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_33,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_34,type,
'uul$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
tltrue: tlbool ).
tff(func_def_36,type,
'ltl_prop_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_37,type,
'fun_app$s': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).
tff(func_def_38,type,
'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_39,type,
'phi_1$': 'A_ltln$' ).
tff(func_def_40,type,
'fun_app$v': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_41,type,
'collect$a': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_42,type,
'fun_app$g': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_43,type,
'fun_app$r': ( 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_44,type,
'fun_app$j': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_45,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_46,type,
'fun_app$e': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_47,type,
'uuj$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_48,type,
'uuh$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_49,type,
'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_50,type,
'uub$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_51,type,
'inf$c': 'Int_int_int_fun_fun$' ).
tff(func_def_52,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_53,type,
'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).
tff(func_def_54,type,
'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_55,type,
'fun_app$t': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_set$' ).
tff(func_def_56,type,
'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_57,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_58,type,
'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).
tff(func_def_59,type,
'uuf$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_60,type,
tlfalse: tlbool ).
tff(func_def_61,type,
'nat$': $int > 'Nat$' ).
tff(func_def_62,type,
'append$': ( 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_63,type,
'fun_app$q': ( 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' * $int ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_64,type,
'uun$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_65,type,
'nu_LTL$': 'A_ltln_set$' ).
tff(func_def_66,type,
'wb$': 'Nat_a_set_fun$' ).
tff(func_def_67,type,
'uu$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).
tff(func_def_68,type,
'uuo$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_69,type,
'fun_app$p': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).
tff(func_def_70,type,
'uue$': 'Int_int_bool_fun_fun$' ).
tff(func_def_71,type,
'fun_app$b': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_72,type,
'uuq$': 'Int_int_bool_fun_fun$' ).
tff(func_def_73,type,
'uua$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_74,type,
'fun_app$o': ( 'A_ltln_a_ltln_bool_fun_fun_int_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $int ).
tff(func_def_75,type,
'uuk$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_76,type,
'fun_app$i': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_77,type,
'k$': 'Nat$' ).
tff(func_def_78,type,
'uui$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_79,type,
'uuc$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_84,type,
sK3: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_85,type,
sK4: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_86,type,
sK5: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_87,type,
sK6: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_88,type,
sK7: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_89,type,
sK8: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_90,type,
sK9: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_91,type,
sK10: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_92,type,
sK11: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_93,type,
sK12: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_94,type,
sK13: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_95,type,
sK14: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_96,type,
sK15: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_97,type,
sK16: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_98,type,
sK17: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_99,type,
sK18: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_100,type,
sK19: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_101,type,
sK20: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_102,type,
sK21: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_103,type,
sK22: 'Int_int_fun$' > $int ).
tff(func_def_104,type,
sK23: 'Int_int_fun$' > $int ).
tff(func_def_105,type,
sK24: 'Int_int_fun$' > $int ).
tff(func_def_106,type,
sK25: 'Int_int_fun$' > $int ).
tff(func_def_107,type,
sK26: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_108,type,
sK27: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_109,type,
sK28: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_110,type,
sK29: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_111,type,
sK30: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_112,type,
sK31: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_113,type,
sK32: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_114,type,
sK33: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_115,type,
sK34: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_116,type,
sK35: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_117,type,
sK36: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_118,type,
sK37: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_119,type,
sK38: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_120,type,
sK39: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_121,type,
sK40: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_122,type,
sK41: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_123,type,
sK42: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_124,type,
sK43: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_125,type,
sK44: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_126,type,
sK45: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_127,type,
sK46: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_128,type,
sK47: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_129,type,
sK48: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_130,type,
sK49: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_131,type,
sK50: 'Int_int_fun$' > $int ).
tff(func_def_132,type,
sK51: 'Int_int_fun$' > $int ).
tff(func_def_133,type,
sK52: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_134,type,
sK53: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_135,type,
sK54: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_136,type,
sK55: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_137,type,
sK56: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_138,type,
sK57: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_139,type,
sK58: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_140,type,
sK59: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_141,type,
sK60: 'Int_int_fun$' > $int ).
tff(func_def_142,type,
sK61: 'Int_int_fun$' > $int ).
tff(func_def_143,type,
sK62: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_144,type,
sK63: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_145,type,
sK64: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_146,type,
sK65: 'Nat$' > 'Nat$' ).
tff(func_def_147,type,
sK66: 'Int_int_fun$' > $int ).
tff(func_def_148,type,
sK67: 'Int_int_fun$' > $int ).
tff(func_def_149,type,
sK68: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_150,type,
sK69: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_151,type,
sK70: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_152,type,
sK71: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_153,type,
sK72: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_154,type,
sK73: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_155,type,
sK74: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_156,type,
sK75: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_157,type,
sK76: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_158,type,
sK77: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_159,type,
sK78: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK79: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_161,type,
sK80: 'Int_int_fun$' > $int ).
tff(func_def_162,type,
sK81: 'Int_int_fun$' > $int ).
tff(func_def_163,type,
sK82: 'Int_int_fun$' > $int ).
tff(func_def_164,type,
sK83: 'Int_int_fun$' > $int ).
tff(func_def_165,type,
sK84: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_166,type,
sK85: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_167,type,
sK86: 'Nat_a_set_fun$' > 'Nat$' ).
tff(func_def_168,type,
sK87: 'Int_int_fun$' > $int ).
tff(func_def_169,type,
sK88: 'Int_int_fun$' > $int ).
tff(func_def_170,type,
sK89: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_171,type,
sK90: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_172,type,
sK91: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$' ).
tff(func_def_173,type,
sK92: ( 'A_ltln$' * 'A_ltln$' ) > 'Nat_a_set_fun$' ).
tff(func_def_174,type,
sK93: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_175,type,
sK94: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_176,type,
sK95: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_177,type,
sK96: 'Nat_a_set_fun$' > 'Nat$' ).
tff(func_def_178,type,
sK97: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_179,type,
sK98: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_180,type,
sK99: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_181,type,
sK100: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_182,type,
sK101: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_183,type,
sK102: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_184,type,
sK103: 'Nat$' > 'Nat$' ).
tff(func_def_185,type,
sK104: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_186,type,
sK105: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_187,type,
sK106: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_188,type,
sK107: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_189,type,
sK108: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_190,type,
sK109: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_191,type,
sK110: 'Int_int_fun$' > $int ).
tff(func_def_192,type,
sK111: 'Int_int_fun$' > $int ).
tff(func_def_193,type,
sK112: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_194,type,
sK113: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_195,type,
sK114: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_196,type,
sK115: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_197,type,
sK116: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_198,type,
sK117: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_199,type,
sK118: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_200,type,
sK119: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_201,type,
sK120: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_202,type,
sK121: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_203,type,
sK122: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_204,type,
sK123: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_205,type,
sK124: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_206,type,
sK125: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_207,type,
sK126: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_208,type,
sK127: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_209,type,
sK128: 'Nat_a_ltln_set_fun$' > 'Nat$' ).
tff(func_def_210,type,
sK129: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_211,type,
sK130: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_212,type,
sK131: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_213,type,
sK132: 'Nat$' > 'Nat$' ).
tff(func_def_214,type,
sK133: ( 'Nat$' * 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_215,type,
sK134: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_216,type,
sK135: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_217,type,
sK136: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_218,type,
sK137: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_219,type,
sK138: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_220,type,
sK139: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_221,type,
sK140: ( 'A_ltln$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_222,type,
sK141: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_223,type,
sK142: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_224,type,
sK143: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_225,type,
sK144: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$' ).
tff(func_def_226,type,
sK145: $int > $int ).
tff(func_def_227,type,
sK146: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_228,type,
sK147: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_229,type,
sK148: 'Int_int_fun$' > $int ).
tff(func_def_230,type,
sK149: 'Int_int_fun$' > $int ).
tff(func_def_231,type,
sK150: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_232,type,
sK151: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_233,type,
sK152: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_234,type,
sK153: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_235,type,
sK154: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_236,type,
sK155: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_237,type,
sK156: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_238,type,
sK157: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_239,type,
sK158: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_240,type,
sK159: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_241,type,
sK160: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_242,type,
sK161: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_243,type,
sK162: 'Nat$' ).
tff(func_def_244,type,
sK163: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_245,type,
sK164: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_246,type,
sK165: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_247,type,
sK166: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_248,type,
sK167: 'Nat$' > 'Nat$' ).
tff(func_def_249,type,
sK168: 'Nat$' ).
tff(func_def_250,type,
sK169: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_251,type,
sK170: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_252,type,
sK171: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_253,type,
sK172: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_254,type,
sK173: 'Int_int_fun$' > $int ).
tff(func_def_255,type,
sK174: 'Int_int_fun$' > $int ).
tff(func_def_256,type,
sK175: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_257,type,
sK176: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_258,type,
sK177: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_259,type,
sK178: 'Nat_a_ltln_set_fun$' > 'Nat$' ).
tff(func_def_260,type,
sK179: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_261,type,
sK180: $int > $int ).
tff(func_def_262,type,
sK181: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_263,type,
sK182: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_264,type,
sK183: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_265,type,
sK184: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_266,type,
sK185: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_267,type,
sK186: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_268,type,
sK187: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_269,type,
sK188: 'Int_int_fun$' > $int ).
tff(func_def_270,type,
sK189: 'Int_int_fun$' > $int ).
tff(func_def_271,type,
sK190: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_272,type,
sK191: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_273,type,
sK192: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_274,type,
sK193: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_275,type,
sK194: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_276,type,
sK195: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_277,type,
sK196: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_278,type,
sK197: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_279,type,
sK198: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_280,type,
sK199: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_281,type,
sK200: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_282,type,
sK201: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_283,type,
sK202: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_284,type,
sK203: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_285,type,
sK204: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_286,type,
sK205: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_287,type,
sK206: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_288,type,
sK207: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_289,type,
sK208: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_290,type,
sK209: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_291,type,
sK210: ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_292,type,
sK211: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_293,type,
sK212: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_294,type,
sK213: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_295,type,
sK214: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_296,type,
sK215: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_297,type,
sK216: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_298,type,
sK217: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_299,type,
sK218: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_300,type,
sK219: 'Nat$' > 'Nat$' ).
tff(func_def_301,type,
sK220: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_302,type,
sK221: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_303,type,
sK222: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_304,type,
sK223: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(pred_def_1,type,
'idx_sequence$': 'Nat_nat_fun$' > $o ).
tff(pred_def_2,type,
'less_eq$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_3,type,
'less$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_4,type,
'member$a': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_6,type,
'less_eq$a': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_7,type,
'fun_app$d': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_8,type,
'fun_app$f': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).
tff(pred_def_9,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_10,type,
'less$a': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_11,type,
'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_12,type,
'fun_app$c': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_13,type,
'less_eq$b': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_14,type,
'semilattice_order_set$': ( 'Int_int_int_fun_fun$' * 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).
tff(pred_def_17,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_18,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_19,type,
sP2: ( $int * $int * $int ) > $o ).
tff(f19,conjecture,
? [X0: 'Nat$'] : 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),X0))),'false_ltln$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture18) ).
tff(f20,negated_conjecture,
~ ? [X0: 'Nat$'] : 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),X0))),'false_ltln$'),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f23,axiom,
'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','i$'),1))))),'false_ltln$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom21) ).
tff(f1413,plain,
! [X0: 'Nat$'] : ~ 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),X0))),'false_ltln$'),
inference(ennf_transformation,[],[f20]) ).
tff(f2788,plain,
! [X0: 'Nat$'] : ~ 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),X0))),'false_ltln$'),
inference(cnf_transformation,[],[f1413]) ).
tff(f2840,plain,
'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','i$'),1))))),'false_ltln$'),
inference(cnf_transformation,[],[f23]) ).
tff(f3689,definition,
( spl224_11
<=> 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','i$'),1))))),'false_ltln$') ),
introduced(definition,[new_symbols(definition,[spl224_11])],[avatar_definition]) ).
tff(f3691,plain,
( 'fun_app$c'('fun_app$g'('ltl_const_equiv$','foldl$'('af_letter$','release_ltln$'('phi_1$','phi_2$'),'subsequence$'('wb$','nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','i$'),1))))),'false_ltln$')
| ~ spl224_11 ),
inference(avatar_component_clause,[],[f3689]) ).
tff(f3692,plain,
spl224_11,
inference(avatar_split_clause,[],[f2840,f3689]) ).
tff(f3826,plain,
( $false
| ~ spl224_11 ),
inference(forward_subsumption_resolution,[],[f3691,f2788]) ).
tff(f3827,plain,
~ spl224_11,
inference(avatar_contradiction_clause,[],[f3826]) ).
tff(f3830,plain,
$false,
inference(avatar_smt_refutation,[],[f3827,f3692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP358_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 12:55:32 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 6.79/2.08 % (3965693)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 6.79/2.08 % (3965701)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=429788799:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 6.79/2.08 % (3965702)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1517559299:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 6.79/2.08 % (3965702)Instruction limit reached!
% 6.79/2.08 % (3965702)------------------------------
% 6.79/2.08 % (3965702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.08 % (3965702)CaDiCaL version: 2.1.3
% 6.79/2.08 % (3965702)Termination reason: Instruction limit
% 6.79/2.08 % (3965702)Termination phase: Property scanning
% 6.79/2.08 % (3965702)Time elapsed: 0.005 s
% 6.79/2.08 % (3965702)Peak memory usage: 85 MB
% 6.79/2.08 % (3965702)Instructions burned: 9 (million)
% 6.79/2.08 % (3965699)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4133418048:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 6.79/2.08 % (3965699)Instruction limit reached!
% 6.79/2.08 % (3965699)------------------------------
% 6.79/2.08 % (3965699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.08 % (3965699)CaDiCaL version: 2.1.3
% 6.79/2.08 % (3965699)Termination reason: Instruction limit
% 6.79/2.08 % (3965699)Termination phase: Property scanning
% 6.79/2.08 % (3965699)Time elapsed: 0.013 s
% 6.79/2.08 % (3965699)Peak memory usage: 85 MB
% 6.79/2.08 % (3965699)Instructions burned: 13 (million)
% 6.79/2.08 % (3965703)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4247686459:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 6.79/2.08 % (3965704)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=513525143:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 6.79/2.08 % (3965705)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=121456978:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 6.79/2.08 % (3965700)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=472642154:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 6.79/2.08 % (3965703)Instruction limit reached!
% 6.79/2.08 % (3965703)------------------------------
% 6.79/2.08 % (3965703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.08 % (3965703)CaDiCaL version: 2.1.3
% 6.79/2.08 % (3965703)Termination reason: Instruction limit
% 6.79/2.08 % (3965703)Termination phase: Property scanning
% 6.79/2.08 % (3965703)Time elapsed: 0.005 s
% 6.79/2.08 % (3965703)Peak memory usage: 85 MB
% 6.79/2.08 % (3965703)Instructions burned: 4 (million)
% 6.79/2.08 % (3965701)Instruction limit reached!
% 6.79/2.08 % (3965701)------------------------------
% 6.79/2.08 % (3965701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.08 % (3965701)CaDiCaL version: 2.1.3
% 6.79/2.08 % (3965701)Termination reason: Instruction limit
% 6.79/2.08 % (3965701)Termination phase: Saturation
% 6.79/2.08 % (3965701)Time elapsed: 0.136 s
% 6.79/2.08 % (3965701)Peak memory usage: 119 MB
% 6.79/2.08 % (3965701)Instructions burned: 202 (million)
% 6.79/2.08 % (3965705)Instruction limit reached!
% 6.79/2.08 % (3965705)------------------------------
% 6.79/2.08 % (3965705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.08 % (3965705)CaDiCaL version: 2.1.3
% 6.79/2.08 % (3965705)Termination reason: Instruction limit
% 6.79/2.08 % (3965705)Termination phase: Preprocessing 3
% 6.79/2.08 % (3965705)Time elapsed: 0.033 s
% 6.79/2.08 % (3965705)Peak memory usage: 87 MB
% 6.79/2.08 % (3965705)Instructions burned: 34 (million)
% 6.79/2.08 % (3965704)Instruction limit reached!
% 6.79/2.08 % (3965704)------------------------------
% 6.79/2.08 % (3965704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.08 % (3965704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965704)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965704)Termination reason: Instruction limit
% 7.55/2.34 % (3965704)Termination phase: Property scanning
% 7.55/2.34 % (3965704)Time elapsed: 0.045 s
% 7.55/2.34 % (3965704)Peak memory usage: 88 MB
% 7.55/2.34 % (3965704)Instructions burned: 46 (million)
% 7.55/2.34 % (3965708)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3424027586:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.55/2.34 % (3965708)Instruction limit reached!
% 7.55/2.34 % (3965708)------------------------------
% 7.55/2.34 % (3965708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.34 % (3965708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965708)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965708)Termination reason: Instruction limit
% 7.55/2.34 % (3965708)Termination phase: Preprocessing 1
% 7.55/2.34 % (3965708)Time elapsed: 0.014 s
% 7.55/2.34 % (3965708)Peak memory usage: 85 MB
% 7.55/2.34 % (3965708)Instructions burned: 14 (million)
% 7.55/2.34 % (3965717)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2695588350:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.55/2.34 % (3965717)Instruction limit reached!
% 7.55/2.34 % (3965717)------------------------------
% 7.55/2.34 % (3965717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.34 % (3965717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965711)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=290998687:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 7.55/2.34 % (3965717)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965717)Termination reason: Instruction limit
% 7.55/2.34 % (3965717)Termination phase: Naming
% 7.55/2.34 % (3965717)Time elapsed: 0.015 s
% 7.55/2.34 % (3965717)Peak memory usage: 87 MB
% 7.55/2.34 % (3965717)Instructions burned: 24 (million)
% 7.55/2.34 % (3965716)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4139747841:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 7.55/2.34 % (3965716)Instruction limit reached!
% 7.55/2.34 % (3965716)------------------------------
% 7.55/2.34 % (3965716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.34 % (3965716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965716)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965716)Termination reason: Instruction limit
% 7.55/2.34 % (3965716)Termination phase: shuffling
% 7.55/2.34 % (3965716)Time elapsed: 0.017 s
% 7.55/2.34 % (3965716)Peak memory usage: 86 MB
% 7.55/2.34 % (3965716)Instructions burned: 16 (million)
% 7.55/2.34 % (3965711)Instruction limit reached!
% 7.55/2.34 % (3965711)------------------------------
% 7.55/2.34 % (3965711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.34 % (3965711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965711)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965711)Termination reason: Instruction limit
% 7.55/2.34 % (3965711)Termination phase: Preprocessing 3
% 7.55/2.34 % (3965711)Time elapsed: 0.029 s
% 7.55/2.34 % (3965711)Peak memory usage: 88 MB
% 7.55/2.34 % (3965711)Instructions burned: 29 (million)
% 7.55/2.34 % (3965719)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4026683225:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 7.55/2.34 % (3965718)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=155839837:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.55/2.34 % (3965718)Instruction limit reached!
% 7.55/2.34 % (3965718)------------------------------
% 7.55/2.34 % (3965718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.34 % (3965718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.34 % (3965718)CaDiCaL version: 2.1.3
% 7.55/2.34 % (3965718)Termination reason: Instruction limit
% 7.55/2.34 % (3965718)Termination phase: Preprocessing 3
% 7.55/2.34 % (3965718)Time elapsed: 0.028 s
% 7.55/2.34 % (3965718)Peak memory usage: 87 MB
% 7.55/2.34 % (3965718)Instructions burned: 28 (million)
% 7.55/2.34 % (3965721)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1871184343:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.02/2.50 % (3965721)Instruction limit reached!
% 9.02/2.50 % (3965721)------------------------------
% 9.02/2.50 % (3965721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965721)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965721)Termination reason: Instruction limit
% 9.02/2.50 % (3965721)Termination phase: Property scanning
% 9.02/2.50 % (3965721)Time elapsed: 0.003 s
% 9.02/2.50 % (3965721)Peak memory usage: 86 MB
% 9.02/2.50 % (3965721)Instructions burned: 4 (million)
% 9.02/2.50 % (3965700)Instruction limit reached!
% 9.02/2.50 % (3965700)------------------------------
% 9.02/2.50 % (3965700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965700)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965700)Termination reason: Instruction limit
% 9.02/2.50 % (3965700)Termination phase: Saturation
% 9.02/2.50 % (3965700)Time elapsed: 0.373 s
% 9.02/2.50 % (3965700)Peak memory usage: 119 MB
% 9.02/2.50 % (3965700)Instructions burned: 307 (million)
% 9.02/2.50 % (3965719)Instruction limit reached!
% 9.02/2.50 % (3965719)------------------------------
% 9.02/2.50 % (3965719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965719)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965719)Termination reason: Instruction limit
% 9.02/2.50 % (3965719)Termination phase: Saturation
% 9.02/2.50 % (3965719)Time elapsed: 0.079 s
% 9.02/2.50 % (3965719)Peak memory usage: 90 MB
% 9.02/2.50 % (3965719)Instructions burned: 85 (million)
% 9.02/2.50 % (3965724)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3985305863:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.02/2.50 % (3965726)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1693028150:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.02/2.50 % (3965726)Instruction limit reached!
% 9.02/2.50 % (3965726)------------------------------
% 9.02/2.50 % (3965726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965726)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965726)Termination reason: Instruction limit
% 9.02/2.50 % (3965726)Termination phase: Property scanning
% 9.02/2.50 % (3965726)Time elapsed: 0.005 s
% 9.02/2.50 % (3965726)Peak memory usage: 85 MB
% 9.02/2.50 % (3965726)Instructions burned: 4 (million)
% 9.02/2.50 % (3965727)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1426715054:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.02/2.50 % (3965730)lrs+10_1_thi=all:si=on:fd=off:random_seed=2208245524:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 9.02/2.50 % (3965732)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=4080613491:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 9.02/2.50 % (3965732)Instruction limit reached!
% 9.02/2.50 % (3965732)------------------------------
% 9.02/2.50 % (3965732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965732)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965732)Termination reason: Instruction limit
% 9.02/2.50 % (3965732)Termination phase: shuffling
% 9.02/2.50 % (3965732)Time elapsed: 0.010 s
% 9.02/2.50 % (3965732)Peak memory usage: 85 MB
% 9.02/2.50 % (3965732)Instructions burned: 8 (million)
% 9.02/2.50 % (3965733)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3416101093:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 9.02/2.50 % (3965733)Instruction limit reached!
% 9.02/2.50 % (3965733)------------------------------
% 9.02/2.50 % (3965733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965733)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965733)Termination reason: Instruction limit
% 9.02/2.50 % (3965733)Termination phase: shuffling
% 9.02/2.50 % (3965733)Time elapsed: 0.003 s
% 9.02/2.50 % (3965733)Peak memory usage: 85 MB
% 9.02/2.50 % (3965733)Instructions burned: 2 (million)
% 9.02/2.50 % (3965727)Instruction limit reached!
% 9.02/2.50 % (3965727)------------------------------
% 9.02/2.50 % (3965727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965727)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965727)Termination reason: Instruction limit
% 9.02/2.50 % (3965727)Termination phase: Saturation
% 9.02/2.50 % (3965727)Time elapsed: 0.088 s
% 9.02/2.50 % (3965727)Peak memory usage: 113 MB
% 9.02/2.50 % (3965727)Instructions burned: 66 (million)
% 9.02/2.50 % (3965730)Instruction limit reached!
% 9.02/2.50 % (3965730)------------------------------
% 9.02/2.50 % (3965730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965730)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965730)Termination reason: Instruction limit
% 9.02/2.50 % (3965730)Termination phase: Property scanning
% 9.02/2.50 % (3965730)Time elapsed: 0.051 s
% 9.02/2.50 % (3965730)Peak memory usage: 88 MB
% 9.02/2.50 % (3965730)Instructions burned: 53 (million)
% 9.02/2.50 % (3965724)Instruction limit reached!
% 9.02/2.50 % (3965724)------------------------------
% 9.02/2.50 % (3965724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965724)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965724)Termination reason: Instruction limit
% 9.02/2.50 % (3965724)Termination phase: Saturation
% 9.02/2.50 % (3965724)Time elapsed: 0.199 s
% 9.02/2.50 % (3965724)Peak memory usage: 92 MB
% 9.02/2.50 % (3965724)Instructions burned: 181 (million)
% 9.02/2.50 % (3965734)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2750265019:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.02/2.50 % (3965734)Instruction limit reached!
% 9.02/2.50 % (3965734)------------------------------
% 9.02/2.50 % (3965734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965734)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965734)Termination reason: Instruction limit
% 9.02/2.50 % (3965734)Termination phase: Property scanning
% 9.02/2.50 % (3965734)Time elapsed: 0.004 s
% 9.02/2.50 % (3965734)Peak memory usage: 85 MB
% 9.02/2.50 % (3965734)Instructions burned: 3 (million)
% 9.02/2.50 % (3965737)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2863319176:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 9.02/2.50 % (3965737)First to succeed.
% 9.02/2.50 % (3965737)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3965693"
% 9.02/2.50 % (3965744)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3167059262: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)
% 9.02/2.50 % (3965744)Instruction limit reached!
% 9.02/2.50 % (3965744)------------------------------
% 9.02/2.50 % (3965744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965744)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965744)Termination reason: Instruction limit
% 9.02/2.50 % (3965744)Termination phase: Preprocessing 3
% 9.02/2.50 % (3965744)Time elapsed: 0.024 s
% 9.02/2.50 % (3965744)Peak memory usage: 88 MB
% 9.02/2.50 % (3965744)Instructions burned: 35 (million)
% 9.02/2.50 % (3965742)dis+10_1_si=on:random_seed=3222949652:i=10:ep=R:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 9.02/2.50 % (3965742)Instruction limit reached!
% 9.02/2.50 % (3965742)------------------------------
% 9.02/2.50 % (3965742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965742)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965742)Termination reason: Instruction limit
% 9.02/2.50 % (3965742)Termination phase: Property scanning
% 9.02/2.50 % (3965742)Time elapsed: 0.010 s
% 9.02/2.50 % (3965742)Peak memory usage: 86 MB
% 9.02/2.50 % (3965742)Instructions burned: 10 (million)
% 9.02/2.50 % (3965743)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=732215090:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 9.02/2.50 % (3965745)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1827443452:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 9.02/2.50 % (3965745)Instruction limit reached!
% 9.02/2.50 % (3965745)------------------------------
% 9.02/2.50 % (3965745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965745)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965745)Termination reason: Instruction limit
% 9.02/2.50 % (3965745)Termination phase: shuffling
% 9.02/2.50 % (3965745)Time elapsed: 0.003 s
% 9.02/2.50 % (3965745)Peak memory usage: 85 MB
% 9.02/2.50 % (3965745)Instructions burned: 2 (million)
% 9.02/2.50 % (3965743)Instruction limit reached!
% 9.02/2.50 % (3965743)------------------------------
% 9.02/2.50 % (3965743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965743)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965743)Termination reason: Instruction limit
% 9.02/2.50 % (3965743)Termination phase: Preprocessing 3
% 9.02/2.50 % (3965743)Time elapsed: 0.026 s
% 9.02/2.50 % (3965743)Peak memory usage: 87 MB
% 9.02/2.50 % (3965743)Instructions burned: 26 (million)
% 9.02/2.50 % (3965747)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2826801287:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 9.02/2.50 % (3965747)Instruction limit reached!
% 9.02/2.50 % (3965747)------------------------------
% 9.02/2.50 % (3965747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965747)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965747)Termination reason: Instruction limit
% 9.02/2.50 % (3965747)Termination phase: Property scanning
% 9.02/2.50 % (3965747)Time elapsed: 0.009 s
% 9.02/2.50 % (3965747)Peak memory usage: 86 MB
% 9.02/2.50 % (3965747)Instructions burned: 8 (million)
% 9.02/2.50 % (3965748)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=327806709:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 9.02/2.50 % (3965751)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=601789439:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 9.02/2.50 % (3965751)Instruction limit reached!
% 9.02/2.50 % (3965751)------------------------------
% 9.02/2.50 % (3965751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.50 % (3965751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.50 % (3965751)CaDiCaL version: 2.1.3
% 9.02/2.50 % (3965751)Termination reason: Instruction limit
% 9.02/2.50 % (3965751)Termination phase: Property scanning
% 9.02/2.50 % (3965751)Time elapsed: 0.007 s
% 9.02/2.50 % (3965751)Peak memory usage: 85 MB
% 9.02/2.50 % (3965751)Instructions burned: 13 (million)
% 9.02/2.50 % (3965737)Refutation found. Thanks to Tanya!
% 9.02/2.50 % SZS status Theorem for theBenchmark
% 9.02/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 9.96/2.69 % (3965737)------------------------------
% 9.96/2.69 % (3965737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.69 % (3965737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.69 % (3965737)CaDiCaL version: 2.1.3
% 9.96/2.69 % (3965737)Termination reason: Refutation
% 9.96/2.69 % (3965737)Time elapsed: 0.081 s
% 9.96/2.69 % (3965737)Peak memory usage: 119 MB
% 9.96/2.69 % (3965737)Instructions burned: 112 (million)
% 9.96/2.69 % (3965737)------------------------------
% 9.96/2.69 % (3965737)------------------------------
% 9.96/2.69 % (3965693)Success in time 1.345 s
% 9.96/2.69 % Vampire exiting
%------------------------------------------------------------------------------