%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP374_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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:43 AM UTC 2026
% Result : Theorem 11.62s 2.75s
% Output : Refutation 13.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 14 unt; 0 typ; 4 def)
% Number of atoms : 104 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 37 ~; 38 |; 10 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 42 ( 40 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 5 prp; 0-3 aty)
% Number of functors : 122 ( 122 usr; 19 con; 0-4 aty)
% Number of variables : 53 ( 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_set_list_bool_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'A_set_list_a_set_list_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$': $tType ).
tff(type_def_10,type,
'A_ltln_set_int_fun$': $tType ).
tff(type_def_11,type,
'A_ltln_a_ltln_fun$': $tType ).
tff(type_def_12,type,
'Int_int_fun$': $tType ).
tff(type_def_13,type,
'A_set_list_a_set_list_list_fun$': $tType ).
tff(type_def_14,type,
'Nat_a_ltln_set_fun$': $tType ).
tff(type_def_15,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_16,type,
'A_set_list_list$': $tType ).
tff(type_def_17,type,
'Nat$': $tType ).
tff(type_def_18,type,
'Nat_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_19,type,
'A_ltln_a_ltln_bool_fun_fun_int_fun$': $tType ).
tff(type_def_20,type,
'Int_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_21,type,
'A_set_list_a_set_list_bool_fun_fun$': $tType ).
tff(type_def_22,type,
tlbool: $tType ).
tff(type_def_23,type,
'A_ltln_a_ltln_prod$': $tType ).
tff(type_def_24,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_25,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_26,type,
'A_set$': $tType ).
tff(type_def_27,type,
'A_ltln_set$': $tType ).
tff(type_def_28,type,
'A_set_a_ltln_a_ltln_prod_fun$': $tType ).
tff(type_def_29,type,
'Int_a_ltln_set_fun$': $tType ).
tff(type_def_30,type,
'A_set_list$': $tType ).
tff(type_def_31,type,
'A_ltln$': $tType ).
tff(type_def_32,type,
'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_33,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_34,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_35,type,
'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_36,type,
'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$': $tType ).
tff(type_def_37,type,
'A_set_list_a_ltln_a_ltln_prod_fun$': $tType ).
tff(type_def_38,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_39,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_40,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_41,type,
'Nat_int_fun$': $tType ).
tff(type_def_42,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_43,type,
'A_set_list_a_ltln_fun$': $tType ).
tff(type_def_44,type,
'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$': $tType ).
tff(func_def_0,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_1,type,
'fun_app$z': ( 'Nat_a_ltln_set_fun$' * 'Nat$' ) > 'A_ltln_set$' ).
tff(func_def_2,type,
'fun_app$s': ( 'A_set_list_a_ltln_fun$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_3,type,
'fun_app$ad': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).
tff(func_def_4,type,
'fun_app$u': ( 'A_set_list_a_ltln_a_ltln_prod_fun$' * 'A_set_list$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_5,type,
'weakUntil_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_6,type,
'fun_app$i': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_7,type,
'fun_app$x': ( 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' * 'A_ltln_a_ltln_prod$' ) > 'A_set_a_ltln_a_ltln_prod_fun$' ).
tff(func_def_8,type,
'uu$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_9,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_10,type,
'fun_app$e': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_11,type,
'nil$': 'A_set_list$' ).
tff(func_def_12,type,
'fun_app$l': ( 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_13,type,
'append$': 'A_set_list$' > 'A_set_list_a_set_list_fun$' ).
tff(func_def_14,type,
'pair$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_15,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_16,type,
'fun_app$v': ( 'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' ).
tff(func_def_17,type,
'cons$a': ( 'A_set_list$' * 'A_set_list_list$' ) > 'A_set_list_list$' ).
tff(func_def_18,type,
'nil$a': 'A_set_list_list$' ).
tff(func_def_19,type,
'cons$': ( 'A_set$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_20,type,
'mu_LTL$': 'A_ltln_set$' ).
tff(func_def_21,type,
'fun_app$k': ( 'A_ltln_a_ltln_bool_fun_fun_int_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $int ).
tff(func_def_22,type,
'fun_app$t': ( 'A_set_list_a_set_list_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_23,type,
'fun_app$b': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_24,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_25,type,
'fun_app$h': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).
tff(func_def_26,type,
'fun_app$j': ( 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' * $int ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_27,type,
'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_28,type,
'collect$': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_29,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_30,type,
'fun_app$o': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_31,type,
'fun_app$ae': ( 'A_set_list_a_set_list_list_fun$' * 'A_set_list$' ) > 'A_set_list_list$' ).
tff(func_def_32,type,
tltrue: tlbool ).
tff(func_def_33,type,
'af_letter_F$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' ).
tff(func_def_34,type,
'fun_app$a': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_35,type,
'fun_app$g': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).
tff(func_def_36,type,
'ltl_prop_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_37,type,
'nu$': 'A_set$' ).
tff(func_def_38,type,
'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_39,type,
'fun_app$r': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_40,type,
'fun_app$m': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_set$' ).
tff(func_def_41,type,
'fun_app$c': ( 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' * 'A_ltln$' ) > 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_42,type,
'strongRelease_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_43,type,
'foldl$a': ( 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' * 'A_ltln_a_ltln_prod$' ) > 'A_set_list_a_ltln_a_ltln_prod_fun$' ).
tff(func_def_44,type,
'eq$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_45,type,
'af_letter_nu$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$' ).
tff(func_def_46,type,
'until_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_47,type,
'psi$': 'A_ltln$' ).
tff(func_def_48,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_list_a_ltln_fun$' ).
tff(func_def_49,type,
'nested_prop_atoms$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_50,type,
'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_51,type,
'snd$': 'A_ltln_a_ltln_prod$' > 'A_ltln$' ).
tff(func_def_52,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_53,type,
'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_54,type,
'fun_app$n': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_55,type,
'fst$': 'A_ltln_a_ltln_prod$' > 'A_ltln$' ).
tff(func_def_56,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_57,type,
'n_lists$': 'Nat$' > 'A_set_list_a_set_list_list_fun$' ).
tff(func_def_58,type,
tlfalse: tlbool ).
tff(func_def_59,type,
'nat$': $int > 'Nat$' ).
tff(func_def_60,type,
'fun_app$aa': ( 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' * 'Nat$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_61,type,
'fun_app$d': ( 'A_ltln_a_ltln_fun$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_62,type,
'nu_LTL$': 'A_ltln_set$' ).
tff(func_def_63,type,
'fun_app$ac': ( 'A_set_list_a_set_list_bool_fun_fun$' * 'A_set_list$' ) > 'A_set_list_bool_fun$' ).
tff(func_def_64,type,
'nested_prop_atoms_nu$': 'A_ltln$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_65,type,
'fun_app$f': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_66,type,
'normalise$': 'A_ltln_a_ltln_fun$' ).
tff(func_def_67,type,
'fun_app$y': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_68,type,
'af_letter_G$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' ).
tff(func_def_69,type,
'fun_app$p': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_70,type,
'release_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_71,type,
'phi$': 'A_ltln$' ).
tff(func_def_72,type,
'take$': 'Nat$' > 'A_set_list_a_set_list_fun$' ).
tff(func_def_73,type,
'fun_app$w': ( 'A_set_a_ltln_a_ltln_prod_fun$' * 'A_set$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_77,type,
sK3: 'A_set_list$' > 'A_set$' ).
tff(func_def_78,type,
sK4: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_79,type,
sK5: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_80,type,
sK6: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_81,type,
sK7: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_82,type,
sK8: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_83,type,
sK9: ( 'A_ltln$' * 'A_ltln$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_84,type,
sK10: ( 'A_ltln$' * 'A_ltln$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_85,type,
sK11: ( 'A_ltln$' * 'A_ltln$' ) > 'Nat_a_set_fun$' ).
tff(func_def_86,type,
sK12: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_87,type,
sK13: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_88,type,
sK14: ( 'A_set_list$' * 'A_set_list$' * 'A_set$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_89,type,
sK15: ( 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_90,type,
sK16: ( 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_91,type,
sK17: 'A_set_list$' > 'A_set$' ).
tff(func_def_92,type,
sK18: 'A_set_list$' > 'A_set$' ).
tff(func_def_93,type,
sK19: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_94,type,
sK20: 'A_set_list$' > 'A_set$' ).
tff(func_def_95,type,
sK21: $int > $int ).
tff(func_def_96,type,
sK22: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_97,type,
sK23: ( 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_98,type,
sK24: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).
tff(func_def_99,type,
sK25: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_100,type,
sK26: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_101,type,
sK27: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_102,type,
sK28: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_103,type,
sK29: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_104,type,
sK30: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_105,type,
sK31: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_106,type,
sK32: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_107,type,
sK33: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_108,type,
sK34: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_109,type,
sK35: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_110,type,
sK36: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_111,type,
sK37: 'A_set_list$' > 'A_set$' ).
tff(func_def_112,type,
sK38: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_113,type,
sK39: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_114,type,
sK40: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_115,type,
sK41: $int > $int ).
tff(func_def_116,type,
sK42: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_117,type,
sK43: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_118,type,
sK44: 'A_set_list$' > 'A_set$' ).
tff(func_def_119,type,
sK45: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'Nat$' ).
tff(func_def_120,type,
sK46: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_a_ltln_bool_fun_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_121,type,
sK47: ( 'A_set$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_122,type,
sK48: ( 'A_ltln_set$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_123,type,
sK49: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_124,type,
sK50: 'A_set_list$' > 'A_set$' ).
tff(pred_def_1,type,
'fun_app$q': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_2,type,
'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_3,type,
'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_4,type,
'gF_advice_congruent$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_5,type,
'fun_app$ab': ( 'A_set_list_bool_fun$' * 'A_set_list$' ) > $o ).
tff(pred_def_6,type,
'transition_functions_size_axioms$': 'A_ltln_a_ltln_fun$' > $o ).
tff(pred_def_7,type,
'transition_functions_size$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_8,type,
'less$a': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_9,type,
'gF_advice_congruent_axioms$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_10,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_11,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_12,type,
'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_13,type,
'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_14,type,
'transition_functions$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_15,type,
'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_16,type,
'less$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_17,type,
'less_eq$b': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_18,type,
'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_21,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_22,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_23,type,
sP2: ( $int * $int * $int ) > $o ).
tff(f2,conjecture,
'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture1) ).
tff(f3,negated_conjecture,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,axiom,
'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis2) ).
tff(f9,axiom,
! [X1: 'A_ltln$',X2: 'A_set$',X0: 'A_ltln$'] :
( ( ~ 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
=> ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$a'('fun_app$b'('af_letter$',X1),X2) ) )
& ( 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
=> ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$d'('until_ltln$'('true_ltln$'),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).
tff(f106,axiom,
! [X1: 'A_ltln_set$',X2: 'A_ltln_set$',X0: 'A_ltln_set$'] :
( ( 'less_eq$'(X1,X2)
& 'less_eq$'(X0,X1) )
=> 'less_eq$'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom104) ).
tff(f139,axiom,
! [X1: 'A_set$',X0: 'A_ltln$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X0),X1)),'nested_prop_atoms$'(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom137) ).
tff(f319,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
<=> ( 'less$'(X0,X1)
| ( X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom317) ).
tff(f771,plain,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(flattening,[],[f3]) ).
tff(f784,plain,
! [X1: 'A_ltln_set$',X2: 'A_ltln_set$',X0: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X2,X0) )
=> 'less_eq$'(X2,X1) ),
inference(rectify,[],[f106]) ).
tff(f807,plain,
! [X0: 'A_ltln$',X1: 'A_set$',X2: 'A_ltln$'] :
( ( 'fun_app$'('fun_app$e'('eq$',X0),'true_ltln$')
=> ( 'fun_app$d'('until_ltln$'('true_ltln$'),X2) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X2),X0),X1) ) )
& ( ~ 'fun_app$'('fun_app$e'('eq$',X0),'true_ltln$')
=> ( 'fun_app$a'('fun_app$b'('af_letter$',X0),X1) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X2),X0),X1) ) ) ),
inference(rectify,[],[f9]) ).
tff(f819,plain,
! [X1: 'A_ltln$',X0: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X1),X0)),'nested_prop_atoms$'(X1)),
inference(rectify,[],[f139]) ).
tff(f1052,plain,
! [X1: 'A_ltln_set$',X2: 'A_ltln_set$',X0: 'A_ltln_set$'] :
( 'less_eq$'(X2,X1)
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X2,X0) ),
inference(ennf_transformation,[],[f784]) ).
tff(f1053,plain,
! [X1: 'A_ltln_set$',X2: 'A_ltln_set$',X0: 'A_ltln_set$'] :
( 'less_eq$'(X2,X1)
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X2,X0) ),
inference(flattening,[],[f1052]) ).
tff(f1139,plain,
! [X1: 'A_set$',X2: 'A_ltln$',X0: 'A_ltln$'] :
( ( ( 'fun_app$a'('fun_app$b'('af_letter$',X0),X1) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X2),X0),X1) )
| 'fun_app$'('fun_app$e'('eq$',X0),'true_ltln$') )
& ( ~ 'fun_app$'('fun_app$e'('eq$',X0),'true_ltln$')
| ( 'fun_app$d'('until_ltln$'('true_ltln$'),X2) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X2),X0),X1) ) ) ),
inference(ennf_transformation,[],[f807]) ).
tff(f1405,plain,
! [X0: 'A_ltln$',X1: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X0),X1)),'nested_prop_atoms$'(X0)),
inference(rectify,[],[f819]) ).
tff(f1474,plain,
! [X0: 'A_set$',X1: 'A_ltln$',X2: 'A_ltln$'] :
( ( ( 'fun_app$a'('fun_app$b'('af_letter$',X2),X0) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X1),X2),X0) )
| 'fun_app$'('fun_app$e'('eq$',X2),'true_ltln$') )
& ( ~ 'fun_app$'('fun_app$e'('eq$',X2),'true_ltln$')
| ( 'fun_app$d'('until_ltln$'('true_ltln$'),X1) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X1),X2),X0) ) ) ),
inference(rectify,[],[f1139]) ).
tff(f1534,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X1,X0)
| ~ 'less_eq$'(X2,X0)
| ~ 'less_eq$'(X1,X2) ),
inference(rectify,[],[f1053]) ).
tff(f1536,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
| ( ~ 'less$'(X0,X1)
& ( X0 != X1 ) ) )
& ( 'less$'(X0,X1)
| ( X0 = X1 )
| ~ 'less_eq$'(X0,X1) ) ),
inference(nnf_transformation,[],[f319]) ).
tff(f1537,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
| ( ~ 'less$'(X0,X1)
& ( X0 != X1 ) ) )
& ( 'less$'(X0,X1)
| ( X0 = X1 )
| ~ 'less_eq$'(X0,X1) ) ),
inference(flattening,[],[f1536]) ).
tff(f1698,plain,
'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(cnf_transformation,[],[f4]) ).
tff(f1811,plain,
! [X0: 'A_ltln$',X1: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X0),X1)),'nested_prop_atoms$'(X0)),
inference(cnf_transformation,[],[f1405]) ).
tff(f1904,plain,
! [X2: 'A_ltln$',X0: 'A_set$',X1: 'A_ltln$'] :
( ( 'fun_app$d'('until_ltln$'('true_ltln$'),X1) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X1),X2),X0) )
| ~ 'fun_app$'('fun_app$e'('eq$',X2),'true_ltln$') ),
inference(cnf_transformation,[],[f1474]) ).
tff(f1905,plain,
! [X2: 'A_ltln$',X0: 'A_set$',X1: 'A_ltln$'] :
( ( 'fun_app$a'('fun_app$b'('af_letter$',X2),X0) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X1),X2),X0) )
| 'fun_app$'('fun_app$e'('eq$',X2),'true_ltln$') ),
inference(cnf_transformation,[],[f1474]) ).
tff(f1932,plain,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(cnf_transformation,[],[f771]) ).
tff(f2008,plain,
! [X2: 'A_ltln_set$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X1,X0)
| ~ 'less_eq$'(X2,X0)
| ~ 'less_eq$'(X1,X2) ),
inference(cnf_transformation,[],[f1534]) ).
tff(f2011,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1537]) ).
tff(f2241,plain,
! [X1: 'A_ltln_set$'] : 'less_eq$'(X1,X1),
inference(equality_resolution,[],[f2011]) ).
tff(f2281,definition,
( spl51_1
<=> 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
tff(f2283,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl51_1 ),
inference(avatar_component_clause,[],[f2281]) ).
tff(f2284,plain,
~ spl51_1,
inference(avatar_split_clause,[],[f1932,f2281]) ).
tff(f2286,definition,
( spl51_2
<=> 'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
tff(f2288,plain,
( 'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f2286]) ).
tff(f2289,plain,
spl51_2,
inference(avatar_split_clause,[],[f1698,f2286]) ).
tff(f2490,plain,
( ~ 'fun_app$'('fun_app$e'('eq$','psi$'),'true_ltln$')
| ~ 'less_eq$'('nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl51_1 ),
inference(superposition,[],[f2283,f1904]) ).
tff(f2491,plain,
( 'fun_app$'('fun_app$e'('eq$','psi$'),'true_ltln$')
| ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl51_1 ),
inference(superposition,[],[f2283,f1905]) ).
tff(f2504,plain,
( ~ 'fun_app$'('fun_app$e'('eq$','psi$'),'true_ltln$')
| spl51_1 ),
inference(forward_subsumption_resolution,[],[f2490,f2241]) ).
tff(f2506,definition,
( spl51_5
<=> 'fun_app$'('fun_app$e'('eq$','psi$'),'true_ltln$') ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
tff(f2510,definition,
( spl51_6
<=> 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
tff(f2512,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl51_6 ),
inference(avatar_component_clause,[],[f2510]) ).
tff(f2527,plain,
( spl51_5
| ~ spl51_6
| spl51_1 ),
inference(avatar_split_clause,[],[f2491,f2281,f2510,f2506]) ).
tff(f2549,plain,
( ~ spl51_5
| spl51_1 ),
inference(avatar_split_clause,[],[f2504,f2281,f2506]) ).
tff(f2985,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('psi$'))
| ~ spl51_2
| spl51_6 ),
inference(unit_resulting_resolution,[],[f2008,f2288,f2512]) ).
tff(f3127,plain,
( $false
| ~ spl51_2
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f2985,f1811]) ).
tff(f3128,plain,
( ~ spl51_2
| spl51_6 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
tff(f3129,plain,
$false,
inference(avatar_smt_refutation,[],[f3128,f2549,f2527,f2289,f2284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP374_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 13:02:00 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 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
% 4.87/1.72 % (3550080)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.87/1.72 % (3550086)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4013930612:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.87/1.72 % (3550086)Instruction limit reached!
% 4.87/1.72 % (3550086)------------------------------
% 4.87/1.72 % (3550086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.72 % (3550086)CaDiCaL version: 2.1.3
% 4.87/1.72 % (3550086)Termination reason: Instruction limit
% 4.87/1.72 % (3550086)Termination phase: Saturation
% 4.87/1.72 % (3550086)Time elapsed: 0.133 s
% 4.87/1.72 % (3550086)Peak memory usage: 118 MB
% 4.87/1.72 % (3550086)Instructions burned: 308 (million)
% 4.87/1.72 % (3550088)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1883681507:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.87/1.72 % (3550087)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=540521384:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.87/1.72 % (3550089)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3854540041:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.87/1.72 % (3550085)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=65745394:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.87/1.72 % (3550089)Instruction limit reached!
% 4.87/1.72 % (3550089)------------------------------
% 4.87/1.72 % (3550089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.72 % (3550089)CaDiCaL version: 2.1.3
% 4.87/1.72 % (3550089)Termination reason: Instruction limit
% 4.87/1.72 % (3550089)Termination phase: Property scanning
% 4.87/1.72 % (3550089)Time elapsed: 0.007 s
% 4.87/1.72 % (3550089)Peak memory usage: 86 MB
% 4.87/1.72 % (3550089)Instructions burned: 7 (million)
% 4.87/1.72 % (3550088)Instruction limit reached!
% 4.87/1.72 % (3550088)------------------------------
% 4.87/1.72 % (3550088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.72 % (3550088)CaDiCaL version: 2.1.3
% 4.87/1.72 % (3550088)Termination reason: Instruction limit
% 4.87/1.72 % (3550088)Termination phase: Property scanning
% 4.87/1.72 % (3550088)Time elapsed: 0.008 s
% 4.87/1.72 % (3550088)Peak memory usage: 86 MB
% 4.87/1.72 % (3550088)Instructions burned: 8 (million)
% 4.87/1.72 % (3550085)Instruction limit reached!
% 4.87/1.72 % (3550085)------------------------------
% 4.87/1.72 % (3550085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.72 % (3550085)CaDiCaL version: 2.1.3
% 4.87/1.72 % (3550085)Termination reason: Instruction limit
% 4.87/1.72 % (3550085)Termination phase: Property scanning
% 4.87/1.72 % (3550085)Time elapsed: 0.012 s
% 4.87/1.72 % (3550085)Peak memory usage: 86 MB
% 4.87/1.72 % (3550085)Instructions burned: 13 (million)
% 4.87/1.72 % (3550091)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=710282677:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.87/1.72 % (3550090)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1354467085:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.87/1.72 % (3550091)Instruction limit reached!
% 4.87/1.72 % (3550091)------------------------------
% 4.87/1.72 % (3550091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.72 % (3550091)CaDiCaL version: 2.1.3
% 4.87/1.72 % (3550091)Termination reason: Instruction limit
% 4.87/1.72 % (3550091)Termination phase: Preprocessing 3
% 4.87/1.72 % (3550091)Time elapsed: 0.033 s
% 4.87/1.72 % (3550091)Peak memory usage: 87 MB
% 4.87/1.72 % (3550091)Instructions burned: 33 (million)
% 4.87/1.72 % (3550090)Instruction limit reached!
% 4.87/1.72 % (3550090)------------------------------
% 4.87/1.72 % (3550090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.72 % (3550090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550090)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550090)Termination reason: Instruction limit
% 6.58/1.97 % (3550090)Termination phase: Property scanning
% 6.58/1.97 % (3550090)Time elapsed: 0.046 s
% 6.58/1.97 % (3550090)Peak memory usage: 88 MB
% 6.58/1.97 % (3550090)Instructions burned: 46 (million)
% 6.58/1.97 % (3550097)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=984108750:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.58/1.97 % (3550097)Instruction limit reached!
% 6.58/1.97 % (3550097)------------------------------
% 6.58/1.97 % (3550097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.97 % (3550097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550097)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550097)Termination reason: Instruction limit
% 6.58/1.97 % (3550097)Termination phase: SInE selection
% 6.58/1.97 % (3550097)Time elapsed: 0.008 s
% 6.58/1.97 % (3550097)Peak memory usage: 86 MB
% 6.58/1.97 % (3550097)Instructions burned: 15 (million)
% 6.58/1.97 % (3550087)Instruction limit reached!
% 6.58/1.97 % (3550087)------------------------------
% 6.58/1.97 % (3550087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.97 % (3550087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550087)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550087)Termination reason: Instruction limit
% 6.58/1.97 % (3550087)Termination phase: Saturation
% 6.58/1.97 % (3550087)Time elapsed: 0.231 s
% 6.58/1.97 % (3550087)Peak memory usage: 118 MB
% 6.58/1.97 % (3550087)Instructions burned: 201 (million)
% 6.58/1.97 % (3550100)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3932410912:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.58/1.97 % (3550099)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1747317366:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.58/1.97 % (3550098)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=2983079191:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.58/1.97 % (3550099)Instruction limit reached!
% 6.58/1.97 % (3550099)------------------------------
% 6.58/1.97 % (3550099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.97 % (3550099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550099)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550099)Termination reason: Instruction limit
% 6.58/1.97 % (3550099)Termination phase: Preprocessing 1
% 6.58/1.97 % (3550099)Time elapsed: 0.015 s
% 6.58/1.97 % (3550099)Peak memory usage: 86 MB
% 6.58/1.97 % (3550099)Instructions burned: 16 (million)
% 6.58/1.97 % (3550100)Instruction limit reached!
% 6.58/1.97 % (3550100)------------------------------
% 6.58/1.97 % (3550100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.97 % (3550100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550100)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550100)Termination reason: Instruction limit
% 6.58/1.97 % (3550100)Termination phase: Preprocessing 1
% 6.58/1.97 % (3550100)Time elapsed: 0.022 s
% 6.58/1.97 % (3550100)Peak memory usage: 86 MB
% 6.58/1.97 % (3550100)Instructions burned: 24 (million)
% 6.58/1.97 % (3550104)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1653326857:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.58/1.97 % (3550103)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=2666356609:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.58/1.97 % (3550098)Instruction limit reached!
% 6.58/1.97 % (3550098)------------------------------
% 6.58/1.97 % (3550098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.97 % (3550098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.97 % (3550098)CaDiCaL version: 2.1.3
% 6.58/1.97 % (3550098)Termination reason: Instruction limit
% 6.58/1.97 % (3550098)Termination phase: shuffling
% 6.58/1.97 % (3550098)Time elapsed: 0.029 s
% 6.58/1.97 % (3550098)Peak memory usage: 87 MB
% 6.58/1.97 % (3550098)Instructions burned: 30 (million)
% 6.58/1.97 % (3550103)Instruction limit reached!
% 6.58/1.97 % (3550103)------------------------------
% 9.32/2.24 % (3550103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550103)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550103)Termination reason: Instruction limit
% 9.32/2.24 % (3550103)Termination phase: shuffling
% 9.32/2.24 % (3550103)Time elapsed: 0.025 s
% 9.32/2.24 % (3550103)Peak memory usage: 86 MB
% 9.32/2.24 % (3550103)Instructions burned: 27 (million)
% 9.32/2.24 % (3550104)Instruction limit reached!
% 9.32/2.24 % (3550104)------------------------------
% 9.32/2.24 % (3550104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550104)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550104)Termination reason: Instruction limit
% 9.32/2.24 % (3550104)Termination phase: Property scanning
% 9.32/2.24 % (3550104)Time elapsed: 0.080 s
% 9.32/2.24 % (3550104)Peak memory usage: 89 MB
% 9.32/2.24 % (3550104)Instructions burned: 86 (million)
% 9.32/2.24 % (3550106)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2570824231:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.32/2.24 % (3550106)Instruction limit reached!
% 9.32/2.24 % (3550106)------------------------------
% 9.32/2.24 % (3550106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550106)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550106)Termination reason: Instruction limit
% 9.32/2.24 % (3550106)Termination phase: Property scanning
% 9.32/2.24 % (3550106)Time elapsed: 0.004 s
% 9.32/2.24 % (3550106)Peak memory usage: 85 MB
% 9.32/2.24 % (3550106)Instructions burned: 6 (million)
% 9.32/2.24 % (3550107)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3875374796:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.32/2.24 % (3550111)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1097335042:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.32/2.24 % (3550114)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=641032839:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.32/2.24 % (3550115)lrs+10_1_thi=all:si=on:fd=off:random_seed=1960681637:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 9.32/2.24 % (3550111)Instruction limit reached!
% 9.32/2.24 % (3550111)------------------------------
% 9.32/2.24 % (3550111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550111)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550111)Termination reason: Instruction limit
% 9.32/2.24 % (3550111)Termination phase: Property scanning
% 9.32/2.24 % (3550111)Time elapsed: 0.005 s
% 9.32/2.24 % (3550111)Peak memory usage: 86 MB
% 9.32/2.24 % (3550111)Instructions burned: 5 (million)
% 9.32/2.24 % (3550117)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=921878292:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 9.32/2.24 % (3550116)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=1127087299:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 9.32/2.24 % (3550117)Instruction limit reached!
% 9.32/2.24 % (3550117)------------------------------
% 9.32/2.24 % (3550117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550117)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550117)Termination reason: Instruction limit
% 9.32/2.24 % (3550117)Termination phase: shuffling
% 9.32/2.24 % (3550117)Time elapsed: 0.003 s
% 9.32/2.24 % (3550117)Peak memory usage: 85 MB
% 9.32/2.24 % (3550117)Instructions burned: 2 (million)
% 9.32/2.24 % (3550116)Instruction limit reached!
% 9.32/2.24 % (3550116)------------------------------
% 9.32/2.24 % (3550116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.24 % (3550116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.24 % (3550116)CaDiCaL version: 2.1.3
% 9.32/2.24 % (3550116)Termination reason: Instruction limit
% 10.77/2.57 % (3550116)Termination phase: Property scanning
% 10.77/2.57 % (3550116)Time elapsed: 0.009 s
% 10.77/2.57 % (3550116)Peak memory usage: 85 MB
% 10.77/2.57 % (3550116)Instructions burned: 9 (million)
% 10.77/2.57 % (3550115)Instruction limit reached!
% 10.77/2.57 % (3550115)------------------------------
% 10.77/2.57 % (3550115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57 % (3550115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57 % (3550115)CaDiCaL version: 2.1.3
% 10.77/2.57 % (3550115)Termination reason: Instruction limit
% 10.77/2.57 % (3550115)Termination phase: Preprocessing 3
% 10.77/2.57 % (3550115)Time elapsed: 0.050 s
% 10.77/2.57 % (3550115)Peak memory usage: 87 MB
% 10.77/2.57 % (3550115)Instructions burned: 54 (million)
% 10.77/2.57 % (3550114)Instruction limit reached!
% 10.77/2.57 % (3550114)------------------------------
% 10.77/2.57 % (3550114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57 % (3550114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57 % (3550114)CaDiCaL version: 2.1.3
% 10.77/2.58 % (3550114)Termination reason: Instruction limit
% 10.77/2.58 % (3550114)Termination phase: Property scanning
% 10.77/2.58 % (3550114)Time elapsed: 0.061 s
% 10.77/2.58 % (3550114)Peak memory usage: 88 MB
% 10.77/2.58 % (3550114)Instructions burned: 66 (million)
% 10.77/2.58 % (3550119)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2441336758:i=2:doe=on:canc=force:asg=cautious:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 10.77/2.58 % (3550119)Instruction limit reached!
% 10.77/2.58 % (3550119)------------------------------
% 10.77/2.58 % (3550119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.58 % (3550119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.58 % (3550119)CaDiCaL version: 2.1.3
% 10.77/2.58 % (3550119)Termination reason: Instruction limit
% 10.77/2.58 % (3550119)Termination phase: Property scanning
% 10.77/2.58 % (3550119)Time elapsed: 0.002 s
% 10.77/2.58 % (3550119)Peak memory usage: 86 MB
% 10.77/2.58 % (3550119)Instructions burned: 3 (million)
% 10.77/2.58 % (3550107)Instruction limit reached!
% 10.77/2.58 % (3550107)------------------------------
% 10.77/2.58 % (3550107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.58 % (3550107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.58 % (3550107)CaDiCaL version: 2.1.3
% 10.77/2.58 % (3550107)Termination reason: Instruction limit
% 10.77/2.58 % (3550107)Termination phase: Saturation
% 10.77/2.58 % (3550107)Time elapsed: 0.201 s
% 10.77/2.58 % (3550107)Peak memory usage: 92 MB
% 10.77/2.58 % (3550107)Instructions burned: 181 (million)
% 10.77/2.58 % (3550133)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2127063162:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 10.77/2.58 % (3550129)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2239740898:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.77/2.58 % (3550124)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=964675961:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.77/2.58 % (3550133)Instruction limit reached!
% 10.77/2.58 % (3550133)------------------------------
% 10.77/2.58 % (3550133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.58 % (3550133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.58 % (3550133)CaDiCaL version: 2.1.3
% 10.77/2.58 % (3550133)Termination reason: Instruction limit
% 10.77/2.58 % (3550133)Termination phase: Property scanning
% 10.77/2.58 % (3550133)Time elapsed: 0.003 s
% 10.77/2.58 % (3550133)Peak memory usage: 86 MB
% 10.77/2.58 % (3550133)Instructions burned: 9 (million)
% 10.77/2.58 % (3550129)Instruction limit reached!
% 10.77/2.58 % (3550129)------------------------------
% 10.77/2.58 % (3550129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.58 % (3550129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.58 % (3550129)CaDiCaL version: 2.1.3
% 10.77/2.58 % (3550129)Termination reason: Instruction limit
% 10.77/2.58 % (3550129)Termination phase: shuffling
% 10.77/2.58 % (3550129)Time elapsed: 0.024 s
% 10.77/2.58 % (3550129)Peak memory usage: 86 MB
% 10.77/2.58 % (3550129)Instructions burned: 27 (million)
% 10.77/2.58 % (3550131)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2448850867:i=2:fsr=off:rtra=on:inst=on_2991 on theBenchmark for (2991ds/2Mi)
% 11.62/2.75 % (3550128)dis+10_1_si=on:random_seed=3923813721:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 11.62/2.75 % (3550130)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2033897644: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_2991 on theBenchmark for (2991ds/35Mi)
% 11.62/2.75 % (3550131)Instruction limit reached!
% 11.62/2.75 % (3550131)------------------------------
% 11.62/2.75 % (3550131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550131)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550131)Termination reason: Instruction limit
% 11.62/2.75 % (3550131)Termination phase: shuffling
% 11.62/2.75 % (3550131)Time elapsed: 0.003 s
% 11.62/2.75 % (3550131)Peak memory usage: 85 MB
% 11.62/2.75 % (3550131)Instructions burned: 2 (million)
% 11.62/2.75 % (3550128)Instruction limit reached!
% 11.62/2.75 % (3550128)------------------------------
% 11.62/2.75 % (3550128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550128)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550128)Termination reason: Instruction limit
% 11.62/2.75 % (3550128)Termination phase: Property scanning
% 11.62/2.75 % (3550128)Time elapsed: 0.011 s
% 11.62/2.75 % (3550128)Peak memory usage: 85 MB
% 11.62/2.75 % (3550128)Instructions burned: 11 (million)
% 11.62/2.75 % (3550130)Instruction limit reached!
% 11.62/2.75 % (3550130)------------------------------
% 11.62/2.75 % (3550130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550130)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550130)Termination reason: Instruction limit
% 11.62/2.75 % (3550130)Termination phase: Preprocessing 3
% 11.62/2.75 % (3550130)Time elapsed: 0.035 s
% 11.62/2.75 % (3550130)Peak memory usage: 88 MB
% 11.62/2.75 % (3550130)Instructions burned: 35 (million)
% 11.62/2.75 % (3550124)Instruction limit reached!
% 11.62/2.75 % (3550124)------------------------------
% 11.62/2.75 % (3550124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550124)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550124)Termination reason: Instruction limit
% 11.62/2.75 % (3550124)Termination phase: Saturation
% 11.62/2.75 % (3550124)Time elapsed: 0.155 s
% 11.62/2.75 % (3550124)Peak memory usage: 118 MB
% 11.62/2.75 % (3550124)Instructions burned: 127 (million)
% 11.62/2.75 % (3550134)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=455829177:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 11.62/2.75 % (3550140)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3306370873:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 11.62/2.75 % (3550140)Instruction limit reached!
% 11.62/2.75 % (3550140)------------------------------
% 11.62/2.75 % (3550140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550140)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550140)Termination reason: Instruction limit
% 11.62/2.75 % (3550140)Termination phase: Property scanning
% 11.62/2.75 % (3550140)Time elapsed: 0.007 s
% 11.62/2.75 % (3550140)Peak memory usage: 85 MB
% 11.62/2.75 % (3550140)Instructions burned: 14 (million)
% 11.62/2.75 % (3550141)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=4071994239:i=226:rtra=on:gtg=position:ss=axioms_2989 on theBenchmark for (2989ds/226Mi)
% 11.62/2.75 % (3550145)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=401108078:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 11.62/2.75 % (3550145)Instruction limit reached!
% 11.62/2.75 % (3550145)------------------------------
% 11.62/2.75 % (3550145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550145)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550145)Termination reason: Instruction limit
% 11.62/2.75 % (3550145)Termination phase: Property scanning
% 11.62/2.75 % (3550145)Time elapsed: 0.010 s
% 11.62/2.75 % (3550145)Peak memory usage: 86 MB
% 11.62/2.75 % (3550145)Instructions burned: 10 (million)
% 11.62/2.75 % (3550146)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1183118021:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 11.62/2.75 % (3550147)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=53384360:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 11.62/2.75 % (3550148)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=2068646175:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 11.62/2.75 % (3550146)Instruction limit reached!
% 11.62/2.75 % (3550146)------------------------------
% 11.62/2.75 % (3550146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550146)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550146)Termination reason: Instruction limit
% 11.62/2.75 % (3550146)Termination phase: Property scanning
% 11.62/2.75 % (3550146)Time elapsed: 0.065 s
% 11.62/2.75 % (3550146)Peak memory usage: 89 MB
% 11.62/2.75 % (3550146)Instructions burned: 72 (million)
% 11.62/2.75 % (3550141)First to succeed.
% 11.62/2.75 % (3550147)Instruction limit reached!
% 11.62/2.75 % (3550147)------------------------------
% 11.62/2.75 % (3550147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550147)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550147)Termination reason: Instruction limit
% 11.62/2.75 % (3550147)Termination phase: Saturation
% 11.62/2.75 % (3550147)Time elapsed: 0.068 s
% 11.62/2.75 % (3550147)Peak memory usage: 89 MB
% 11.62/2.75 % (3550147)Instructions burned: 76 (million)
% 11.62/2.75 % (3550141)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3550080"
% 11.62/2.75 % (3550151)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2626969568:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/130Mi)
% 11.62/2.75 % (3550148)Instruction limit reached!
% 11.62/2.75 % (3550148)------------------------------
% 11.62/2.75 % (3550148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550148)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550148)Termination reason: Instruction limit
% 11.62/2.75 % (3550148)Termination phase: Saturation
% 11.62/2.75 % (3550148)Time elapsed: 0.180 s
% 11.62/2.75 % (3550148)Peak memory usage: 93 MB
% 11.62/2.75 % (3550148)Instructions burned: 296 (million)
% 11.62/2.75 % (3550134)Instruction limit reached!
% 11.62/2.75 % (3550134)------------------------------
% 11.62/2.75 % (3550134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550134)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550134)Termination reason: Instruction limit
% 11.62/2.75 % (3550134)Termination phase: Saturation
% 11.62/2.75 % (3550134)Time elapsed: 0.360 s
% 11.62/2.75 % (3550134)Peak memory usage: 94 MB
% 11.62/2.75 % (3550134)Instructions burned: 370 (million)
% 11.62/2.75 % (3550154)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=232023616:i=131:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 11.62/2.75 % (3550158)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=168917479:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 11.62/2.75 % (3550158)Instruction limit reached!
% 11.62/2.75 % (3550158)------------------------------
% 11.62/2.75 % (3550158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550158)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550158)Termination reason: Instruction limit
% 11.62/2.75 % (3550158)Termination phase: Property scanning
% 11.62/2.75 % (3550158)Time elapsed: 0.025 s
% 11.62/2.75 % (3550158)Peak memory usage: 86 MB
% 11.62/2.75 % (3550158)Instructions burned: 40 (million)
% 11.62/2.75 % (3550151)Instruction limit reached!
% 11.62/2.75 % (3550151)------------------------------
% 11.62/2.75 % (3550151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550151)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550151)Termination reason: Instruction limit
% 11.62/2.75 % (3550151)Termination phase: Saturation
% 11.62/2.75 % (3550151)Time elapsed: 0.154 s
% 11.62/2.75 % (3550151)Peak memory usage: 115 MB
% 11.62/2.75 % (3550151)Instructions burned: 130 (million)
% 11.62/2.75 % (3550159)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3648889857:i=307:rtra=on:gtg=exists_top_2985 on theBenchmark for (2985ds/307Mi)
% 11.62/2.75 % (3550161)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2586181210:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 11.62/2.75 % (3550154)Instruction limit reached!
% 11.62/2.75 % (3550154)------------------------------
% 11.62/2.75 % (3550154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.75 % (3550154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.75 % (3550154)CaDiCaL version: 2.1.3
% 11.62/2.75 % (3550154)Termination reason: Instruction limit
% 11.62/2.75 % (3550154)Termination phase: Saturation
% 11.62/2.75 % (3550154)Time elapsed: 0.187 s
% 11.62/2.75 % (3550154)Peak memory usage: 135 MB
% 11.62/2.75 % (3550154)Instructions burned: 131 (million)
% 11.62/2.75 % (3550141)Refutation found. Thanks to Tanya!
% 11.62/2.75 % SZS status Theorem for theBenchmark
% 11.62/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 13.60/3.00 % (3550141)------------------------------
% 13.60/3.00 % (3550141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/3.00 % (3550141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/3.00 % (3550141)CaDiCaL version: 2.1.3
% 13.60/3.00 % (3550141)Termination reason: Refutation
% 13.60/3.00 % (3550141)Time elapsed: 0.131 s
% 13.60/3.00 % (3550141)Peak memory usage: 118 MB
% 13.60/3.00 % (3550141)Instructions burned: 103 (million)
% 13.60/3.00 % (3550141)------------------------------
% 13.60/3.00 % (3550141)------------------------------
% 13.60/3.00 % (3550080)Success in time 1.866 s
% 13.60/3.00 % Vampire exiting
%------------------------------------------------------------------------------