%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP357_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 8.47s 2.08s
% Output : Refutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 16 unt; 0 typ; 2 def)
% Number of atoms : 95 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 36 ~; 33 |; 10 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 38 ( 36 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 3 prp; 0-2 aty)
% Number of functors : 204 ( 204 usr; 25 con; 0-4 aty)
% Number of variables : 74 ( 74 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_bool_fun$': $tType ).
tff(type_def_6,type,
'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_ltln_bool_fun_a_set_fun$': $tType ).
tff(type_def_8,type,
'A_set_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_nat_a_set_fun_prod$': $tType ).
tff(type_def_10,type,
'A_ltln_a_ltln_a_ltln_option_fun_prod$': $tType ).
tff(type_def_11,type,
'Int_a_a_bool_fun_fun_fun$': $tType ).
tff(type_def_12,type,
'A_a_bool_fun_fun_int_fun$': $tType ).
tff(type_def_13,type,
'A_ltln_a_ltln_option_fun$': $tType ).
tff(type_def_14,type,
'Int_int_fun$': $tType ).
tff(type_def_15,type,
'A_set_a_set_list_fun$': $tType ).
tff(type_def_16,type,
'A_ltln_set_a_ltln_prod$': $tType ).
tff(type_def_17,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_18,type,
'A_ltln_ltln$': $tType ).
tff(type_def_19,type,
'Nat$': $tType ).
tff(type_def_20,type,
'A_ltln_ltln_bool_fun$': $tType ).
tff(type_def_21,type,
tlbool: $tType ).
tff(type_def_22,type,
'A_a_bool_fun_fun$': $tType ).
tff(type_def_23,type,
'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_25,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_26,type,
'A_bool_fun$': $tType ).
tff(type_def_27,type,
'A_set$': $tType ).
tff(type_def_28,type,
'A_ltln_set$': $tType ).
tff(type_def_29,type,
'A_set_list$': $tType ).
tff(type_def_30,type,
'A_set_int_fun$': $tType ).
tff(type_def_31,type,
'A_ltln$': $tType ).
tff(type_def_32,type,
'Int_a_set_fun$': $tType ).
tff(type_def_33,type,
'A$': $tType ).
tff(type_def_34,type,
'A_ltln_bool_fun_int_fun$': $tType ).
tff(type_def_35,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_36,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_37,type,
'A_set_a_set_fun$': $tType ).
tff(type_def_38,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_39,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_40,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'uu$': 'A_set$' > 'A_bool_fun$' ).
tff(func_def_1,type,
'strongRelease_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_2,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_3,type,
'fun_app$u': ( 'A_set_a_set_list_fun$' * 'A_set$' ) > 'A_set_list$' ).
tff(func_def_4,type,
def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_5,type,
'next_ltln$a': 'A_ltln_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_6,type,
'and_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_7,type,
'prop_ltln$a': 'A_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_8,type,
'rel_ltln$a': 'A_a_bool_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_9,type,
'fun_app$g': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_10,type,
'fun_app$f': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_11,type,
'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_12,type,
'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_13,type,
'not_n_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_14,type,
'release_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_15,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_16,type,
'uub$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_17,type,
'fun_app$m': ( 'Int_a_set_fun$' * $int ) > 'A_set$' ).
tff(func_def_18,type,
'fun_app$p': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).
tff(func_def_19,type,
'fun_app$q': ( 'A_set_a_ltln_bool_fun_fun$' * 'A_set$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_20,type,
'pair$': ( 'A_ltln_set$' * 'A_ltln$' ) > 'A_ltln_set_a_ltln_prod$' ).
tff(func_def_21,type,
def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_22,type,
def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_23,type,
'fun_app$d': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_24,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_25,type,
'bind$': ( 'A_set_list$' * 'A_set_a_set_list_fun$' ) > 'A_set_list$' ).
tff(func_def_26,type,
'fun_app$t': ( 'A_ltln_bool_fun_a_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_set$' ).
tff(func_def_27,type,
'build$': ( 'A_set$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_28,type,
'fun_app$j': ( '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$' ).
tff(func_def_29,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_30,type,
'cons$': ( 'A_set$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_31,type,
'is_mu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_32,type,
'ltl_const_equiv$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_33,type,
'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_34,type,
'is_nu_LTL$': 'A_ltln_bool_fun$' ).
tff(func_def_35,type,
'collect$': 'A_bool_fun$' > 'A_set$' ).
tff(func_def_36,type,
'ltl_prop_entailment_rel$': 'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$' ).
tff(func_def_37,type,
def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_38,type,
'conc$': ( 'A_set_list$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_39,type,
'fun_app$k': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_40,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_41,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_42,type,
'pair$a': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_nat_a_set_fun_prod$' ).
tff(func_def_43,type,
'prop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_44,type,
'fun_app$o': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_45,type,
'until_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_46,type,
tltrue: tlbool ).
tff(func_def_47,type,
'fun_app$i': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_48,type,
'fun_app$c': ( 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln_bool_fun$' ).
tff(func_def_49,type,
'accp$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_50,type,
'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_51,type,
'fun_app$l': ( 'A_set_int_fun$' * 'A_set$' ) > $int ).
tff(func_def_52,type,
'weakUntil_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_53,type,
'fun_app$s': ( 'Int_a_a_bool_fun_fun_fun$' * $int ) > 'A_a_bool_fun_fun$' ).
tff(func_def_54,type,
'collect$a': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_55,type,
'atoms_ltln$': 'A_ltln$' > 'A_set$' ).
tff(func_def_56,type,
'eq$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_57,type,
'fun_app$n': ( 'A_set_a_set_fun$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_58,type,
'ltl_prop_entailment$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_59,type,
'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_60,type,
'nprop_ltln$': 'A$' > 'A_ltln$' ).
tff(func_def_61,type,
def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_62,type,
'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_63,type,
def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_64,type,
'not_n$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_65,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_66,type,
'false_ltln$a': 'A_ltln_ltln$' ).
tff(func_def_67,type,
'rel_ltln$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_68,type,
'true_ltln$a': 'A_ltln_ltln$' ).
tff(func_def_69,type,
'pair$b': ( 'A_ltln$' * 'A_ltln_a_ltln_option_fun$' ) > 'A_ltln_a_ltln_a_ltln_option_fun_prod$' ).
tff(func_def_70,type,
'is_nu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_71,type,
'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_72,type,
'fun_app$r': ( 'A_a_bool_fun_fun_int_fun$' * 'A_a_bool_fun_fun$' ) > $int ).
tff(func_def_73,type,
'w$a': 'A_set_list$' ).
tff(func_def_74,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_75,type,
'w$': 'A_set_list$' ).
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,
'nat$': $int > 'Nat$' ).
tff(func_def_79,type,
def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).
tff(func_def_80,type,
'append$': ( 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_81,type,
'uud$': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_82,type,
'maps$': ( 'A_set_a_set_list_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_83,type,
'uuc$': 'A_a_bool_fun_fun$' ).
tff(func_def_84,type,
'or_ltln$a': ( 'A_ltln_ltln$' * 'A_ltln_ltln$' ) > 'A_ltln_ltln$' ).
tff(func_def_85,type,
'uua$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_86,type,
'is_mu_LTL_rel$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_87,type,
'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_88,type,
'fun_app$e': ( 'A_a_bool_fun_fun$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_89,type,
'nprop_ltln$a': 'A_ltln$' > 'A_ltln_ltln$' ).
tff(func_def_90,type,
'ltl_lang_equiv$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ).
tff(func_def_91,type,
'phi$': 'A_ltln$' ).
tff(func_def_92,type,
'next_ltln$': 'A_ltln$' > 'A_ltln$' ).
tff(func_def_93,type,
'af_letter$a': ( 'A_ltln_ltln$' * 'A_ltln_set$' ) > 'A_ltln_ltln$' ).
tff(func_def_94,type,
'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_96,type,
sK0: 'A_ltln$' > 'A$' ).
tff(func_def_97,type,
sK1: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_98,type,
sK2: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_99,type,
sK3: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_100,type,
sK4: 'A_ltln$' > 'A$' ).
tff(func_def_101,type,
sK5: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_102,type,
sK6: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_103,type,
sK7: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_104,type,
sK8: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_105,type,
sK9: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_106,type,
sK10: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_107,type,
sK11: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_108,type,
sK12: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_109,type,
sK13: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_110,type,
sK14: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_111,type,
sK15: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_112,type,
sK16: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_113,type,
sK17: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_114,type,
sK18: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_115,type,
sK19: 'A_ltln$' > 'A$' ).
tff(func_def_116,type,
sK20: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_117,type,
sK21: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_118,type,
sK22: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_119,type,
sK23: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_120,type,
sK24: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_121,type,
sK25: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_122,type,
sK26: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_123,type,
sK27: 'A_ltln$' > 'A$' ).
tff(func_def_124,type,
sK28: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_125,type,
sK29: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_126,type,
sK30: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_127,type,
sK31: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_128,type,
sK32: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_129,type,
sK33: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_130,type,
sK34: 'A_ltln$' > 'A$' ).
tff(func_def_131,type,
sK35: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_132,type,
sK36: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_133,type,
sK37: 'A_ltln$' > 'A$' ).
tff(func_def_134,type,
sK38: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_135,type,
sK39: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_136,type,
sK40: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_137,type,
sK41: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_138,type,
sK42: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_139,type,
sK43: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_140,type,
sK44: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_141,type,
sK45: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_142,type,
sK46: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_143,type,
sK47: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_144,type,
sK48: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_145,type,
sK49: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_146,type,
sK50: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_147,type,
sK51: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_148,type,
sK52: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_149,type,
sK53: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_150,type,
sK54: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_151,type,
sK55: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_152,type,
sK56: 'A_ltln$' > 'A$' ).
tff(func_def_153,type,
sK57: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_154,type,
sK58: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_155,type,
sK59: 'A_ltln$' > 'A$' ).
tff(func_def_156,type,
sK60: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_157,type,
sK61: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_158,type,
sK62: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_159,type,
sK63: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_160,type,
sK64: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_161,type,
sK65: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_162,type,
sK66: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_163,type,
sK67: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_164,type,
sK68: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_165,type,
sK69: 'A_ltln$' > 'A$' ).
tff(func_def_166,type,
sK70: 'A_ltln$' > 'A$' ).
tff(func_def_167,type,
sK71: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_168,type,
sK72: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_169,type,
sK73: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_170,type,
sK74: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_171,type,
sK75: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_172,type,
sK76: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_173,type,
sK77: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_174,type,
sK78: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_175,type,
sK79: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_176,type,
sK80: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_177,type,
sK81: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_178,type,
sK82: 'A_ltln$' > 'A$' ).
tff(func_def_179,type,
sK83: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_180,type,
sK84: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_181,type,
sK85: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_182,type,
sK86: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_183,type,
sK87: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_184,type,
sK88: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_185,type,
sK89: 'A_ltln$' > 'A$' ).
tff(func_def_186,type,
sK90: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_187,type,
sK91: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_188,type,
sK92: ( 'A_ltln$' * 'A_ltln$' ) > 'Nat_a_set_fun$' ).
tff(func_def_189,type,
sK93: 'A_ltln$' > 'A$' ).
tff(func_def_190,type,
sK94: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_191,type,
sK95: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_192,type,
sK96: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_193,type,
sK97: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_194,type,
sK98: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_195,type,
sK99: 'A_ltln$' > 'A$' ).
tff(func_def_196,type,
sK100: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_197,type,
sK101: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_198,type,
sK102: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_199,type,
sK103: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_200,type,
sK104: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_201,type,
sK105: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_202,type,
sK106: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_203,type,
sK107: 'A_ltln$' > 'A_ltln$' ).
tff(func_def_204,type,
sK108: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(pred_def_1,type,
'equivp$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' > $o ).
tff(pred_def_2,type,
'less_eq$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_3,type,
'fun_app$a': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_4,type,
'less_eq$g': ( 'A_bool_fun$' * 'A_bool_fun$' ) > $o ).
tff(pred_def_5,type,
'less_eq$d': ( 'A_set$' * 'A_set$' ) > $o ).
tff(pred_def_6,type,
'less_eq$b': ( 'A_a_bool_fun_fun$' * 'A_a_bool_fun_fun$' ) > $o ).
tff(pred_def_7,type,
'accp$a': ( 'A_ltln_set_a_ltln_prod_a_ltln_set_a_ltln_prod_bool_fun_fun$' * 'A_ltln_set_a_ltln_prod$' ) > $o ).
tff(pred_def_8,type,
'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_9,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_10,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_11,type,
'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_12,type,
'fun_app$h': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_13,type,
'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_14,type,
'less_eq$a': ( 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' * 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_15,type,
'fun_app$b': ( 'A_ltln_ltln_bool_fun$' * 'A_ltln_ltln$' ) > $o ).
tff(pred_def_16,type,
'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_17,type,
'less_eq$c': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_18,type,
'ltl_equivalence$a': 'A_ltln_ltln_a_ltln_ltln_bool_fun_fun$' > $o ).
tff(pred_def_19,type,
'less_eq$h': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_20,type,
'less_eq$f': ( 'A_ltln_ltln_bool_fun$' * 'A_ltln_ltln_bool_fun$' ) > $o ).
tff(pred_def_21,type,
'less_eq$e': ( tlbool * tlbool ) > $o ).
tff(pred_def_22,type,
'member$a': ( 'A$' * 'A_set$' ) > $o ).
tff(f6,conjecture,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
tff(f7,negated_conjecture,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,axiom,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis6) ).
tff(f9,axiom,
! [X1: 'A_ltln$',X2: 'A_set_list$',X0: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$',X0),X1)
=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X2)),'foldl$'('af_letter$',X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(f16,axiom,
! [X0: 'A_set_list$'] : ( 'foldl$'('af_letter$','true_ltln$',X0) = 'true_ltln$' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom14) ).
tff(f18,axiom,
! [X2: 'A_set_list$',X1: 'A_ltln$',X3: 'A_set_list$',X0: 'A_ltln_a_set_a_ltln_fun_fun$'] : ( 'foldl$'(X0,X1,'append$'(X2,X3)) = 'foldl$'(X0,'foldl$'(X0,X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom16) ).
tff(f185,axiom,
! [X1: 'A_ltln_a_ltln_bool_fun_fun$',X0: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( 'less_eq$'(X1,X0)
& 'less_eq$'(X0,X1) )
<=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom183) ).
tff(f242,axiom,
! [X2: 'A_ltln$',X1: 'A_ltln_a_ltln_bool_fun_fun$',X0: 'A_ltln_a_ltln_bool_fun_fun$',X3: 'A_ltln$'] :
( ( 'fun_app$'('fun_app$d'(X0,X2),X3)
& 'less_eq$'(X0,X1) )
=> 'fun_app$'('fun_app$d'(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom240) ).
tff(f714,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(flattening,[],[f7]) ).
tff(f719,plain,
! [X0: 'A_ltln$',X1: 'A_set_list$',X2: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$',X2),X0)
=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X2,X1)),'foldl$'('af_letter$',X0,X1)) ),
inference(rectify,[],[f9]) ).
tff(f723,plain,
! [X3: 'A_ltln_a_set_a_ltln_fun_fun$',X0: 'A_set_list$',X2: 'A_set_list$',X1: 'A_ltln$'] : ( 'foldl$'(X3,'foldl$'(X3,X1,X0),X2) = 'foldl$'(X3,X1,'append$'(X0,X2)) ),
inference(rectify,[],[f18]) ).
tff(f757,plain,
! [X1: 'A_ltln_a_ltln_bool_fun_fun$',X0: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X0) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f185]) ).
tff(f762,plain,
! [X0: 'A_ltln$',X3: 'A_ltln$',X2: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( 'less_eq$'(X2,X1)
& 'fun_app$'('fun_app$d'(X2,X0),X3) )
=> 'fun_app$'('fun_app$d'(X1,X0),X3) ),
inference(rectify,[],[f242]) ).
tff(f964,plain,
! [X1: 'A_set_list$',X0: 'A_ltln$',X2: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X2,X1)),'foldl$'('af_letter$',X0,X1))
| ~ 'fun_app$'('fun_app$d'('eq$',X2),X0) ),
inference(ennf_transformation,[],[f719]) ).
tff(f987,plain,
! [X0: 'A_ltln$',X3: 'A_ltln$',X2: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$'] :
( 'fun_app$'('fun_app$d'(X1,X0),X3)
| ~ 'less_eq$'(X2,X1)
| ~ 'fun_app$'('fun_app$d'(X2,X0),X3) ),
inference(ennf_transformation,[],[f762]) ).
tff(f988,plain,
! [X2: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$',X3: 'A_ltln$',X0: 'A_ltln$'] :
( ~ 'fun_app$'('fun_app$d'(X2,X0),X3)
| ~ 'less_eq$'(X2,X1)
| 'fun_app$'('fun_app$d'(X1,X0),X3) ),
inference(flattening,[],[f987]) ).
tff(f1054,plain,
! [X0: 'A_ltln_a_set_a_ltln_fun_fun$',X1: 'A_set_list$',X2: 'A_set_list$',X3: 'A_ltln$'] : ( 'foldl$'(X0,X3,'append$'(X1,X2)) = 'foldl$'(X0,'foldl$'(X0,X3,X1),X2) ),
inference(rectify,[],[f723]) ).
tff(f1229,plain,
! [X0: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$',X2: 'A_ltln$',X3: 'A_ltln$'] :
( ~ 'fun_app$'('fun_app$d'(X0,X3),X2)
| ~ 'less_eq$'(X0,X1)
| 'fun_app$'('fun_app$d'(X1,X3),X2) ),
inference(rectify,[],[f988]) ).
tff(f1251,plain,
! [X1: 'A_ltln_a_ltln_bool_fun_fun$',X0: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X0) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X1,X0) ) ),
inference(nnf_transformation,[],[f757]) ).
tff(f1252,plain,
! [X1: 'A_ltln_a_ltln_bool_fun_fun$',X0: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X0) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X1,X0) ) ),
inference(flattening,[],[f1251]) ).
tff(f1253,plain,
! [X0: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ( ( 'less_eq$'(X1,X0)
& 'less_eq$'(X0,X1) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ 'less_eq$'(X1,X0)
| ~ 'less_eq$'(X0,X1) ) ),
inference(rectify,[],[f1252]) ).
tff(f1319,plain,
! [X0: 'A_set_list$',X1: 'A_ltln$',X2: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X2,X0)),'foldl$'('af_letter$',X1,X0))
| ~ 'fun_app$'('fun_app$d'('eq$',X2),X1) ),
inference(rectify,[],[f964]) ).
tff(f1378,plain,
! [X2: 'A_set_list$',X3: 'A_ltln$',X0: 'A_ltln_a_set_a_ltln_fun_fun$',X1: 'A_set_list$'] : ( 'foldl$'(X0,X3,'append$'(X1,X2)) = 'foldl$'(X0,'foldl$'(X0,X3,X1),X2) ),
inference(cnf_transformation,[],[f1054]) ).
tff(f1587,plain,
! [X2: 'A_ltln$',X3: 'A_ltln$',X0: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$'] :
( 'fun_app$'('fun_app$d'(X1,X3),X2)
| ~ 'less_eq$'(X0,X1)
| ~ 'fun_app$'('fun_app$d'(X0,X3),X2) ),
inference(cnf_transformation,[],[f1229]) ).
tff(f1616,plain,
! [X0: 'A_ltln_a_ltln_bool_fun_fun$',X1: 'A_ltln_a_ltln_bool_fun_fun$'] :
( 'less_eq$'(X1,X0)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1253]) ).
tff(f1649,plain,
! [X0: 'A_set_list$'] : ( 'true_ltln$' = 'foldl$'('af_letter$','true_ltln$',X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f1700,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(cnf_transformation,[],[f714]) ).
tff(f1703,plain,
! [X2: 'A_ltln$',X0: 'A_set_list$',X1: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X2,X0)),'foldl$'('af_letter$',X1,X0))
| ~ 'fun_app$'('fun_app$d'('eq$',X2),X1) ),
inference(cnf_transformation,[],[f1319]) ).
tff(f1728,plain,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
inference(cnf_transformation,[],[f8]) ).
tff(f1776,plain,
! [X1: 'A_ltln_a_ltln_bool_fun_fun$'] : 'less_eq$'(X1,X1),
inference(equality_resolution,[],[f1616]) ).
tff(f1801,definition,
( spl109_1
<=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$') ),
introduced(definition,[new_symbols(definition,[spl109_1])],[avatar_definition]) ).
tff(f1803,plain,
( ~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$')
| spl109_1 ),
inference(avatar_component_clause,[],[f1801]) ).
tff(f1804,plain,
~ spl109_1,
inference(avatar_split_clause,[],[f1700,f1801]) ).
tff(f1806,definition,
( spl109_2
<=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$') ),
introduced(definition,[new_symbols(definition,[spl109_2])],[avatar_definition]) ).
tff(f1808,plain,
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$')
| ~ spl109_2 ),
inference(avatar_component_clause,[],[f1806]) ).
tff(f1809,plain,
spl109_2,
inference(avatar_split_clause,[],[f1728,f1806]) ).
tff(f1841,plain,
( ! [X0: 'A_ltln_a_ltln_bool_fun_fun$'] :
( ~ 'fun_app$'('fun_app$d'(X0,'foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$')
| ~ 'less_eq$'(X0,'eq$') )
| spl109_1 ),
inference(resolution,[],[f1803,f1587]) ).
tff(f1865,plain,
( ! [X0: 'A_set_list$'] : 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','foldl$'('af_letter$','phi$','w$'),X0)),'foldl$'('af_letter$','true_ltln$',X0))
| ~ spl109_2 ),
inference(unit_resulting_resolution,[],[f1703,f1808]) ).
tff(f1913,plain,
( ! [X0: 'A_set_list$'] : 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','foldl$'('af_letter$','phi$','w$'),X0)),'true_ltln$')
| ~ spl109_2 ),
inference(forward_demodulation,[],[f1865,f1649]) ).
tff(f1915,plain,
( ! [X0: 'A_set_list$'] : 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$',X0))),'true_ltln$')
| ~ spl109_2 ),
inference(forward_demodulation,[],[f1913,f1378]) ).
tff(f2721,plain,
( ~ 'less_eq$'('eq$','eq$')
| spl109_1
| ~ spl109_2 ),
inference(unit_resulting_resolution,[],[f1841,f1915]) ).
tff(f2841,plain,
( $false
| spl109_1
| ~ spl109_2 ),
inference(forward_subsumption_resolution,[],[f2721,f1776]) ).
tff(f2842,plain,
( spl109_1
| ~ spl109_2 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
tff(f2845,plain,
$false,
inference(avatar_smt_refutation,[],[f2842,f1809,f1804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP357_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n009.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 12:55:45 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.42 % (2008706)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.49/1.42 % (2008713)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3576867803:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.49/1.42 % (2008717)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3036290395:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.49/1.42 % (2008711)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3380656512:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.49/1.42 % (2008712)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1471153508:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.49/1.42 % (2008714)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1187981588:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.49/1.42 % (2008716)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3905577374:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.49/1.43 % (2008715)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2244280226:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.49/1.43 % (2008715)Instruction limit reached!
% 3.49/1.43 % (2008715)------------------------------
% 3.49/1.43 % (2008715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2008715)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2008715)Termination reason: Instruction limit
% 3.49/1.43 % (2008715)Termination phase: Property scanning
% 3.49/1.43 % (2008715)Time elapsed: 0.003 s
% 3.49/1.43 % (2008715)Peak memory usage: 86 MB
% 3.49/1.43 % (2008715)Instructions burned: 4 (million)
% 3.49/1.43 % (2008714)Instruction limit reached!
% 3.49/1.43 % (2008714)------------------------------
% 3.49/1.43 % (2008714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2008714)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2008714)Termination reason: Instruction limit
% 3.49/1.43 % (2008714)Termination phase: Property scanning
% 3.49/1.43 % (2008714)Time elapsed: 0.004 s
% 3.49/1.43 % (2008714)Peak memory usage: 86 MB
% 3.49/1.43 % (2008714)Instructions burned: 7 (million)
% 3.49/1.43 % (2008711)Instruction limit reached!
% 3.49/1.43 % (2008711)------------------------------
% 3.49/1.43 % (2008711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2008711)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2008711)Termination reason: Instruction limit
% 3.49/1.43 % (2008711)Termination phase: Property scanning
% 3.49/1.43 % (2008711)Time elapsed: 0.007 s
% 3.49/1.43 % (2008711)Peak memory usage: 86 MB
% 3.49/1.43 % (2008711)Instructions burned: 12 (million)
% 3.49/1.43 % (2008717)Instruction limit reached!
% 3.49/1.43 % (2008717)------------------------------
% 3.49/1.43 % (2008717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2008717)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2008717)Termination reason: Instruction limit
% 3.49/1.43 % (2008717)Termination phase: Preprocessing 3
% 3.49/1.43 % (2008717)Time elapsed: 0.019 s
% 3.49/1.43 % (2008717)Peak memory usage: 88 MB
% 3.49/1.43 % (2008717)Instructions burned: 33 (million)
% 3.49/1.43 % (2008716)Instruction limit reached!
% 3.49/1.43 % (2008716)------------------------------
% 3.49/1.43 % (2008716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2008716)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2008716)Termination reason: Instruction limit
% 3.49/1.43 % (2008716)Termination phase: Clausification
% 3.49/1.43 % (2008716)Time elapsed: 0.028 s
% 3.49/1.43 % (2008716)Peak memory usage: 89 MB
% 3.49/1.43 % (2008716)Instructions burned: 46 (million)
% 3.49/1.43 % (2008713)Instruction limit reached!
% 3.49/1.43 % (2008713)------------------------------
% 3.49/1.43 % (2008713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2008713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008713)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008713)Termination reason: Instruction limit
% 4.48/1.58 % (2008713)Termination phase: Saturation
% 4.48/1.58 % (2008713)Time elapsed: 0.083 s
% 4.48/1.58 % (2008713)Peak memory usage: 120 MB
% 4.48/1.58 % (2008713)Instructions burned: 203 (million)
% 4.48/1.58 % (2008725)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1249138781:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.48/1.58 % (2008727)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2748837174:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.48/1.58 % (2008725)Instruction limit reached!
% 4.48/1.58 % (2008725)------------------------------
% 4.48/1.58 % (2008725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.58 % (2008725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008725)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008725)Termination reason: Instruction limit
% 4.48/1.58 % (2008725)Termination phase: SInE selection
% 4.48/1.58 % (2008725)Time elapsed: 0.009 s
% 4.48/1.58 % (2008725)Peak memory usage: 86 MB
% 4.48/1.58 % (2008725)Instructions burned: 14 (million)
% 4.48/1.58 % (2008727)Instruction limit reached!
% 4.48/1.58 % (2008727)------------------------------
% 4.48/1.58 % (2008727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.58 % (2008727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008727)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008727)Termination reason: Instruction limit
% 4.48/1.58 % (2008727)Termination phase: Preprocessing 1
% 4.48/1.58 % (2008727)Time elapsed: 0.010 s
% 4.48/1.58 % (2008727)Peak memory usage: 86 MB
% 4.48/1.58 % (2008727)Instructions burned: 16 (million)
% 4.48/1.58 % (2008728)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=601451230:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.48/1.58 % (2008726)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=3250751406:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.48/1.58 % (2008730)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1358436595:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.48/1.58 % (2008728)Instruction limit reached!
% 4.48/1.58 % (2008728)------------------------------
% 4.48/1.58 % (2008728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.58 % (2008728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008728)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008728)Termination reason: Instruction limit
% 4.48/1.58 % (2008728)Termination phase: Preprocessing 1
% 4.48/1.58 % (2008728)Time elapsed: 0.014 s
% 4.48/1.58 % (2008728)Peak memory usage: 86 MB
% 4.48/1.58 % (2008728)Instructions burned: 25 (million)
% 4.48/1.58 % (2008726)Instruction limit reached!
% 4.48/1.58 % (2008726)------------------------------
% 4.48/1.58 % (2008726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.58 % (2008726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008726)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008726)Termination reason: Instruction limit
% 4.48/1.58 % (2008726)Termination phase: Preprocessing 3
% 4.48/1.58 % (2008726)Time elapsed: 0.017 s
% 4.48/1.58 % (2008726)Peak memory usage: 87 MB
% 4.48/1.58 % (2008726)Instructions burned: 29 (million)
% 4.48/1.58 % (2008730)Instruction limit reached!
% 4.48/1.58 % (2008730)------------------------------
% 4.48/1.58 % (2008730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.58 % (2008730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.58 % (2008730)CaDiCaL version: 2.1.3
% 4.48/1.58 % (2008730)Termination reason: Instruction limit
% 4.48/1.58 % (2008730)Termination phase: Property scanning
% 4.48/1.58 % (2008730)Time elapsed: 0.025 s
% 4.48/1.58 % (2008730)Peak memory usage: 89 MB
% 4.48/1.58 % (2008730)Instructions burned: 86 (million)
% 4.48/1.58 % (2008729)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=2934497296:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.48/1.58 % (2008729)Instruction limit reached!
% 4.48/1.58 % (2008729)------------------------------
% 5.53/1.71 % (2008729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008729)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008729)Termination reason: Instruction limit
% 5.53/1.71 % (2008729)Termination phase: Preprocessing 2
% 5.53/1.71 % (2008729)Time elapsed: 0.016 s
% 5.53/1.71 % (2008729)Peak memory usage: 87 MB
% 5.53/1.71 % (2008729)Instructions burned: 27 (million)
% 5.53/1.71 % (2008712)Instruction limit reached!
% 5.53/1.71 % (2008712)------------------------------
% 5.53/1.71 % (2008712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008712)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008712)Termination reason: Instruction limit
% 5.53/1.71 % (2008712)Termination phase: Clausification
% 5.53/1.71 % (2008712)Time elapsed: 0.240 s
% 5.53/1.71 % (2008712)Peak memory usage: 182 MB
% 5.53/1.71 % (2008712)Instructions burned: 308 (million)
% 5.53/1.71 % (2008735)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2061372048:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.53/1.71 % (2008736)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2450036857:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.53/1.71 % (2008741)lrs+10_1_thi=all:si=on:fd=off:random_seed=2597732051:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.53/1.71 % (2008735)Instruction limit reached!
% 5.53/1.71 % (2008735)------------------------------
% 5.53/1.71 % (2008735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008735)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008735)Termination reason: Instruction limit
% 5.53/1.71 % (2008735)Termination phase: Property scanning
% 5.53/1.71 % (2008735)Time elapsed: 0.003 s
% 5.53/1.71 % (2008735)Peak memory usage: 86 MB
% 5.53/1.71 % (2008735)Instructions burned: 3 (million)
% 5.53/1.71 % (2008738)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=931935269:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.53/1.71 % (2008738)Instruction limit reached!
% 5.53/1.71 % (2008738)------------------------------
% 5.53/1.71 % (2008738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008738)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008738)Termination reason: Instruction limit
% 5.53/1.71 % (2008738)Termination phase: Property scanning
% 5.53/1.71 % (2008738)Time elapsed: 0.003 s
% 5.53/1.71 % (2008738)Peak memory usage: 86 MB
% 5.53/1.71 % (2008738)Instructions burned: 4 (million)
% 5.53/1.71 % (2008739)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3907811632:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.53/1.71 % (2008741)Instruction limit reached!
% 5.53/1.71 % (2008741)------------------------------
% 5.53/1.71 % (2008741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008741)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008741)Termination reason: Instruction limit
% 5.53/1.71 % (2008741)Termination phase: Preprocessing 3
% 5.53/1.71 % (2008741)Time elapsed: 0.015 s
% 5.53/1.71 % (2008741)Peak memory usage: 88 MB
% 5.53/1.71 % (2008741)Instructions burned: 55 (million)
% 5.53/1.71 % (2008739)Instruction limit reached!
% 5.53/1.71 % (2008739)------------------------------
% 5.53/1.71 % (2008739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.71 % (2008739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.71 % (2008739)CaDiCaL version: 2.1.3
% 5.53/1.71 % (2008739)Termination reason: Instruction limit
% 5.53/1.71 % (2008739)Termination phase: Property scanning
% 5.53/1.71 % (2008739)Time elapsed: 0.039 s
% 5.53/1.71 % (2008739)Peak memory usage: 89 MB
% 5.53/1.71 % (2008739)Instructions burned: 67 (million)
% 5.53/1.71 % (2008742)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=619188296:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.68/1.90 % (2008742)Instruction limit reached!
% 6.68/1.90 % (2008742)------------------------------
% 6.68/1.90 % (2008742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008742)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008742)Termination reason: Instruction limit
% 6.68/1.90 % (2008742)Termination phase: shuffling
% 6.68/1.90 % (2008742)Time elapsed: 0.005 s
% 6.68/1.90 % (2008742)Peak memory usage: 86 MB
% 6.68/1.90 % (2008742)Instructions burned: 9 (million)
% 6.68/1.90 % (2008743)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3013641670:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.68/1.90 % (2008743)Instruction limit reached!
% 6.68/1.90 % (2008743)------------------------------
% 6.68/1.90 % (2008743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008743)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008743)Termination reason: Instruction limit
% 6.68/1.90 % (2008743)Termination phase: Property scanning
% 6.68/1.90 % (2008743)Time elapsed: 0.003 s
% 6.68/1.90 % (2008743)Peak memory usage: 86 MB
% 6.68/1.90 % (2008743)Instructions burned: 3 (million)
% 6.68/1.90 % (2008736)Instruction limit reached!
% 6.68/1.90 % (2008736)------------------------------
% 6.68/1.90 % (2008736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008736)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008736)Termination reason: Instruction limit
% 6.68/1.90 % (2008736)Termination phase: Saturation
% 6.68/1.90 % (2008736)Time elapsed: 0.119 s
% 6.68/1.90 % (2008736)Peak memory usage: 92 MB
% 6.68/1.90 % (2008736)Instructions burned: 182 (million)
% 6.68/1.90 % (2008751)dis+10_1_si=on:random_seed=1511734247:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.68/1.90 % (2008748)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2796623365:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.68/1.90 % (2008751)Instruction limit reached!
% 6.68/1.90 % (2008751)------------------------------
% 6.68/1.90 % (2008751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008751)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008751)Termination reason: Instruction limit
% 6.68/1.90 % (2008751)Termination phase: Including theory axioms
% 6.68/1.90 % (2008751)Time elapsed: 0.003 s
% 6.68/1.90 % (2008751)Peak memory usage: 86 MB
% 6.68/1.90 % (2008751)Instructions burned: 11 (million)
% 6.68/1.90 % (2008748)Instruction limit reached!
% 6.68/1.90 % (2008748)------------------------------
% 6.68/1.90 % (2008748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008748)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008748)Termination reason: Instruction limit
% 6.68/1.90 % (2008748)Termination phase: Property scanning
% 6.68/1.90 % (2008748)Time elapsed: 0.003 s
% 6.68/1.90 % (2008748)Peak memory usage: 86 MB
% 6.68/1.90 % (2008748)Instructions burned: 4 (million)
% 6.68/1.90 % (2008750)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3788538692:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.68/1.90 % (2008752)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=597081110:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.68/1.90 % (2008752)Instruction limit reached!
% 6.68/1.90 % (2008752)------------------------------
% 6.68/1.90 % (2008752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.90 % (2008752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.90 % (2008752)CaDiCaL version: 2.1.3
% 6.68/1.90 % (2008752)Termination reason: Instruction limit
% 6.68/1.90 % (2008752)Termination phase: Unused predicate definition removal
% 6.68/1.90 % (2008752)Time elapsed: 0.015 s
% 6.68/1.90 % (2008752)Peak memory usage: 87 MB
% 6.68/1.90 % (2008752)Instructions burned: 27 (million)
% 6.68/1.90 % (2008760)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=329840540:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.47/2.07 % (2008754)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4212763465: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_2994 on theBenchmark for (2994ds/35Mi)
% 8.47/2.07 % (2008750)Instruction limit reached!
% 8.47/2.07 % (2008750)------------------------------
% 8.47/2.07 % (2008750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008750)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008750)Termination reason: Instruction limit
% 8.47/2.07 % (2008750)Termination phase: Saturation
% 8.47/2.07 % (2008750)Time elapsed: 0.092 s
% 8.47/2.07 % (2008750)Peak memory usage: 116 MB
% 8.47/2.07 % (2008750)Instructions burned: 127 (million)
% 8.47/2.07 % (2008754)Instruction limit reached!
% 8.47/2.07 % (2008754)------------------------------
% 8.47/2.07 % (2008754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008754)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008754)Termination reason: Instruction limit
% 8.47/2.07 % (2008754)Termination phase: Preprocessing 3
% 8.47/2.07 % (2008754)Time elapsed: 0.020 s
% 8.47/2.07 % (2008754)Peak memory usage: 88 MB
% 8.47/2.07 % (2008754)Instructions burned: 35 (million)
% 8.47/2.07 % (2008759)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=617507269:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 8.47/2.07 % (2008758)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=867399362:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 8.47/2.07 % (2008758)Instruction limit reached!
% 8.47/2.07 % (2008758)------------------------------
% 8.47/2.07 % (2008758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008758)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008758)Termination reason: Instruction limit
% 8.47/2.07 % (2008758)Termination phase: Property scanning
% 8.47/2.07 % (2008758)Time elapsed: 0.003 s
% 8.47/2.07 % (2008758)Peak memory usage: 85 MB
% 8.47/2.07 % (2008758)Instructions burned: 3 (million)
% 8.47/2.07 % (2008759)Instruction limit reached!
% 8.47/2.07 % (2008759)------------------------------
% 8.47/2.07 % (2008759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008759)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008759)Termination reason: Instruction limit
% 8.47/2.07 % (2008759)Termination phase: Property scanning
% 8.47/2.07 % (2008759)Time elapsed: 0.005 s
% 8.47/2.07 % (2008759)Peak memory usage: 85 MB
% 8.47/2.07 % (2008759)Instructions burned: 9 (million)
% 8.47/2.07 % (2008761)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3951141489:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.47/2.07 % (2008761)Instruction limit reached!
% 8.47/2.07 % (2008761)------------------------------
% 8.47/2.07 % (2008761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008761)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008761)Termination reason: Instruction limit
% 8.47/2.07 % (2008761)Termination phase: Property scanning
% 8.47/2.07 % (2008761)Time elapsed: 0.007 s
% 8.47/2.07 % (2008761)Peak memory usage: 85 MB
% 8.47/2.07 % (2008761)Instructions burned: 15 (million)
% 8.47/2.07 % (2008760)Instruction limit reached!
% 8.47/2.07 % (2008760)------------------------------
% 8.47/2.07 % (2008760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008760)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008760)Termination reason: Instruction limit
% 8.47/2.07 % (2008760)Termination phase: Saturation
% 8.47/2.07 % (2008760)Time elapsed: 0.118 s
% 8.47/2.07 % (2008760)Peak memory usage: 94 MB
% 8.47/2.07 % (2008760)Instructions burned: 373 (million)
% 8.47/2.07 % (2008764)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1564786588:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.47/2.07 % (2008767)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2226789281:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 8.47/2.07 % (2008767)Instruction limit reached!
% 8.47/2.07 % (2008767)------------------------------
% 8.47/2.07 % (2008767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008767)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008767)Termination reason: Instruction limit
% 8.47/2.07 % (2008767)Termination phase: Property scanning
% 8.47/2.07 % (2008767)Time elapsed: 0.006 s
% 8.47/2.07 % (2008767)Peak memory usage: 86 MB
% 8.47/2.07 % (2008767)Instructions burned: 11 (million)
% 8.47/2.07 % (2008768)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3290060410:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 8.47/2.07 % (2008772)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=638782644:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 8.47/2.07 % (2008773)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=889996529:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 8.47/2.07 % (2008774)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3487394451:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 8.47/2.07 % (2008768)Instruction limit reached!
% 8.47/2.07 % (2008768)------------------------------
% 8.47/2.07 % (2008768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008768)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008768)Termination reason: Instruction limit
% 8.47/2.07 % (2008768)Termination phase: Function definition elimination
% 8.47/2.07 % (2008768)Time elapsed: 0.041 s
% 8.47/2.07 % (2008768)Peak memory usage: 89 MB
% 8.47/2.07 % (2008768)Instructions burned: 71 (million)
% 8.47/2.07 % (2008764)First to succeed.
% 8.47/2.07 % (2008764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2008706"
% 8.47/2.07 % (2008775)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1086605488:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 8.47/2.07 % (2008772)Instruction limit reached!
% 8.47/2.07 % (2008772)------------------------------
% 8.47/2.07 % (2008772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008772)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008772)Termination reason: Instruction limit
% 8.47/2.07 % (2008772)Termination phase: Property scanning
% 8.47/2.07 % (2008772)Time elapsed: 0.042 s
% 8.47/2.07 % (2008772)Peak memory usage: 90 MB
% 8.47/2.07 % (2008772)Instructions burned: 77 (million)
% 8.47/2.07 % (2008775)Instruction limit reached!
% 8.47/2.07 % (2008775)------------------------------
% 8.47/2.07 % (2008775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008775)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008775)Termination reason: Instruction limit
% 8.47/2.07 % (2008775)Termination phase: Saturation
% 8.47/2.07 % (2008775)Time elapsed: 0.066 s
% 8.47/2.07 % (2008775)Peak memory usage: 133 MB
% 8.47/2.07 % (2008775)Instructions burned: 132 (million)
% 8.47/2.07 % (2008774)Instruction limit reached!
% 8.47/2.07 % (2008774)------------------------------
% 8.47/2.07 % (2008774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008774)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008774)Termination reason: Instruction limit
% 8.47/2.07 % (2008774)Termination phase: Clausification
% 8.47/2.07 % (2008774)Time elapsed: 0.087 s
% 8.47/2.07 % (2008774)Peak memory usage: 112 MB
% 8.47/2.07 % (2008774)Instructions burned: 130 (million)
% 8.47/2.07 % (2008778)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2406860313:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 8.47/2.07 % (2008778)Instruction limit reached!
% 8.47/2.07 % (2008778)------------------------------
% 8.47/2.07 % (2008778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.07 % (2008778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.07 % (2008778)CaDiCaL version: 2.1.3
% 8.47/2.07 % (2008778)Termination reason: Instruction limit
% 8.47/2.07 % (2008778)Termination phase: Preprocessing 1
% 8.47/2.07 % (2008778)Time elapsed: 0.020 s
% 8.47/2.07 % (2008778)Peak memory usage: 86 MB
% 8.47/2.07 % (2008778)Instructions burned: 41 (million)
% 8.47/2.07 % (2008783)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3480374172:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 8.47/2.07 % (2008785)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=236311176:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 8.47/2.07 % (2008773)Instruction limit reached!
% 8.47/2.07 % (2008773)------------------------------
% 8.47/2.07 % (2008773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.08 % (2008773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.08 % (2008773)CaDiCaL version: 2.1.3
% 8.47/2.08 % (2008773)Termination reason: Instruction limit
% 8.47/2.08 % (2008773)Termination phase: Clausification
% 8.47/2.08 % (2008773)Time elapsed: 0.223 s
% 8.47/2.08 % (2008773)Peak memory usage: 171 MB
% 8.47/2.08 % (2008773)Instructions burned: 295 (million)
% 8.47/2.08 % (2008787)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=4043345515:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2989 on theBenchmark for (2989ds/259Mi)
% 8.47/2.08 % (2008786)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1854734782:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 8.47/2.08 % (2008764)Refutation found. Thanks to Tanya!
% 8.47/2.08 % SZS status Theorem for theBenchmark
% 8.47/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 8.97/2.27 % (2008764)------------------------------
% 8.97/2.27 % (2008764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/2.27 % (2008764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/2.27 % (2008764)CaDiCaL version: 2.1.3
% 8.97/2.27 % (2008764)Termination reason: Refutation
% 8.97/2.27 % (2008764)Time elapsed: 0.093 s
% 8.97/2.27 % (2008764)Peak memory usage: 118 MB
% 8.97/2.27 % (2008764)Instructions burned: 110 (million)
% 8.97/2.27 % (2008764)------------------------------
% 8.97/2.27 % (2008764)------------------------------
% 8.97/2.27 % (2008706)Success in time 1.226 s
% 8.97/2.27 % Vampire exiting
%------------------------------------------------------------------------------