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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP364_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 11:39:27 AM UTC 2026

% Result   : Theorem 6.12s 1.44s
% Output   : Refutation 6.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   25 (  23 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :  321 ( 321 usr;  17 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Int_bool_fun$': $tType ).

tff(type_def_6,type,
    'A_ltln_set_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_7,type,
    'A_ltln_bool_fun_a_ltln_set_fun$': $tType ).

tff(type_def_8,type,
    'A_ltln_set_int_fun$': $tType ).

tff(type_def_9,type,
    'Int_int_fun$': $tType ).

tff(type_def_10,type,
    'Nat_a_set_fun_bool_fun$': $tType ).

tff(type_def_11,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_12,type,
    'Nat$': $tType ).

tff(type_def_13,type,
    tlbool: $tType ).

tff(type_def_14,type,
    'A_ltln_bool_fun$': $tType ).

tff(type_def_15,type,
    'A_ltln_set$': $tType ).

tff(type_def_16,type,
    'Int_a_ltln_set_fun$': $tType ).

tff(type_def_17,type,
    'A_ltln$': $tType ).

tff(type_def_18,type,
    'A_ltln_bool_fun_int_fun$': $tType ).

tff(type_def_19,type,
    'A_ltln_set_a_ltln_set_fun$': $tType ).

tff(type_def_20,type,
    'Nat_a_set_fun$': $tType ).

tff(type_def_21,type,
    'Int_int_int_fun_fun$': $tType ).

tff(type_def_22,type,
    'Nat_a_set_fun_set$': $tType ).

tff(type_def_23,type,
    'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_24,type,
    'Int_int_bool_fun_fun$': $tType ).

tff(type_def_25,type,
    'Int_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_26,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_27,type,
    'Nat_set$': $tType ).

tff(func_def_0,type,
    'inf$d': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_1,type,
    'w$': 'Nat_a_set_fun$' ).

tff(func_def_2,type,
    'sup$a': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).

tff(func_def_3,type,
    'uue$': 'A_ltln_set$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_4,type,
    def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_5,type,
    'uu$': 'Nat_bool_fun$' ).

tff(func_def_6,type,
    'uup$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_7,type,
    'inf$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).

tff(func_def_8,type,
    'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_9,type,
    'psi_1$': 'A_ltln$' ).

tff(func_def_10,type,
    'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_11,type,
    'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_12,type,
    'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_13,type,
    'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_14,type,
    'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).

tff(func_def_15,type,
    'uuk$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_16,type,
    'uul$': 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_17,type,
    'fun_app$m': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).

tff(func_def_18,type,
    'false_ltln$': 'A_ltln$' ).

tff(func_def_19,type,
    'inf$b': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_20,type,
    'uus$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_21,type,
    'uvc$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_22,type,
    'uut$': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_23,type,
    def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_24,type,
    'uuu$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_25,type,
    'uuw$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_26,type,
    'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_27,type,
    def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_28,type,
    'uuh$': 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_29,type,
    'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_30,type,
    'uux$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_31,type,
    'uui$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).

tff(func_def_32,type,
    'uuj$': 'Nat_set$' > 'Nat_bool_fun$' ).

tff(func_def_33,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_34,type,
    'uvb$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_35,type,
    'uuv$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_36,type,
    'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_37,type,
    'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).

tff(func_def_38,type,
    'fun_app$j': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).

tff(func_def_39,type,
    def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_40,type,
    'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_41,type,
    'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_42,type,
    'collect$b': 'A_ltln_bool_fun_a_ltln_set_fun$' ).

tff(func_def_43,type,
    tltrue: tlbool ).

tff(func_def_44,type,
    'uva$': 'Int_int_bool_fun_fun$' ).

tff(func_def_45,type,
    'inf$a': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_set$' ).

tff(func_def_46,type,
    'uur$': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_47,type,
    'eps$': 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_48,type,
    'fun_app$i': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).

tff(func_def_49,type,
    'fun_app$k': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).

tff(func_def_50,type,
    'fun_app$l': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).

tff(func_def_51,type,
    'uub$': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_52,type,
    'uuf$': ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_53,type,
    'uum$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_54,type,
    'fun_app$n': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_55,type,
    'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_56,type,
    def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_57,type,
    'uua$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_58,type,
    'fun_app$f': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_59,type,
    'fun_app$g': ( 'A_ltln_bool_fun_a_ltln_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_set$' ).

tff(func_def_60,type,
    def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_61,type,
    'nu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_62,type,
    'inf$c': 'Int_int_int_fun_fun$' ).

tff(func_def_63,type,
    'psi_2$': 'A_ltln$' ).

tff(func_def_64,type,
    'true_ltln$': 'A_ltln$' ).

tff(func_def_65,type,
    'uuy$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_66,type,
    'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_67,type,
    'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_68,type,
    'eps$a': 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_69,type,
    'fun_app$o': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).

tff(func_def_70,type,
    'uuz$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_71,type,
    'subfrmlsn$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_72,type,
    'uud$': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_73,type,
    'fG_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_74,type,
    'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_75,type,
    'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).

tff(func_def_76,type,
    def_5: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_77,type,
    tlfalse: tlbool ).

tff(func_def_78,type,
    'uug$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_79,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_80,type,
    def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_81,type,
    'uuq$': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_82,type,
    'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).

tff(func_def_83,type,
    'uuc$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_84,type,
    'fun_app$e': ( 'A_ltln_set_a_ltln_bool_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_85,type,
    'uuo$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_86,type,
    'sup$': 'Int_int_int_fun_fun$' ).

tff(func_def_87,type,
    'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_88,type,
    'fun_app$h': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_89,type,
    'phi$': 'A_ltln$' ).

tff(func_def_90,type,
    'uun$': 'Int_int_bool_fun_fun$' ).

tff(func_def_91,type,
    'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_96,type,
    sK0: 'A_ltln$' > 'A_ltln$' ).

tff(func_def_97,type,
    sK1: 'A_ltln$' > 'A_ltln$' ).

tff(func_def_98,type,
    sK2: 'Nat$' ).

tff(func_def_99,type,
    sK3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_100,type,
    sK4: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_101,type,
    sK5: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_102,type,
    sK6: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_103,type,
    sK7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_104,type,
    sK8: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_105,type,
    sK9: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_106,type,
    sK10: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_107,type,
    sK11: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_108,type,
    sK12: ( 'Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_109,type,
    sK13: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_110,type,
    sK14: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_111,type,
    sK15: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_112,type,
    sK16: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_113,type,
    sK17: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_114,type,
    sK18: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_115,type,
    sK19: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_116,type,
    sK20: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_117,type,
    sK21: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_118,type,
    sK22: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_119,type,
    sK23: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_120,type,
    sK24: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_121,type,
    sK25: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_122,type,
    sK26: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_123,type,
    sK27: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_124,type,
    sK28: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_125,type,
    sK29: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_126,type,
    sK30: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_127,type,
    sK31: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_128,type,
    sK32: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_129,type,
    sK33: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_130,type,
    sK34: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_131,type,
    sK35: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_132,type,
    sK36: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_133,type,
    sK37: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_134,type,
    sK38: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_135,type,
    sK39: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_136,type,
    sK40: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_137,type,
    sK41: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_138,type,
    sK42: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_139,type,
    sK43: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_140,type,
    sK44: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_141,type,
    sK45: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_142,type,
    sK46: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_143,type,
    sK47: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_144,type,
    sK48: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_145,type,
    sK49: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_146,type,
    sK50: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_147,type,
    sK51: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_148,type,
    sK52: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_149,type,
    sK53: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_150,type,
    sK54: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_151,type,
    sK55: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_152,type,
    sK56: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_153,type,
    sK57: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_154,type,
    sK58: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_155,type,
    sK59: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_156,type,
    sK60: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_157,type,
    sK61: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_158,type,
    sK62: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_159,type,
    sK63: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_160,type,
    sK64: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_161,type,
    sK65: 'Int_int_fun$' > $int ).

tff(func_def_162,type,
    sK66: 'Int_int_fun$' > $int ).

tff(func_def_163,type,
    sK67: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_164,type,
    sK68: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_165,type,
    sK69: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_166,type,
    sK70: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_167,type,
    sK71: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_168,type,
    sK72: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_169,type,
    sK73: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_170,type,
    sK74: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_171,type,
    sK75: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_172,type,
    sK76: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_173,type,
    sK77: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_174,type,
    sK78: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_175,type,
    sK79: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_176,type,
    sK80: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_177,type,
    sK81: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_178,type,
    sK82: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_179,type,
    sK83: 'Int_int_fun$' > $int ).

tff(func_def_180,type,
    sK84: 'Int_int_fun$' > $int ).

tff(func_def_181,type,
    sK85: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_182,type,
    sK86: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_183,type,
    sK87: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_184,type,
    sK88: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_185,type,
    sK89: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_186,type,
    sK90: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_187,type,
    sK91: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_188,type,
    sK92: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_189,type,
    sK93: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_190,type,
    sK94: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_191,type,
    sK95: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_192,type,
    sK96: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_193,type,
    sK97: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_194,type,
    sK98: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_195,type,
    sK99: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_196,type,
    sK100: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_197,type,
    sK101: 'Int_int_fun$' > $int ).

tff(func_def_198,type,
    sK102: 'Int_int_fun$' > $int ).

tff(func_def_199,type,
    sK103: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_200,type,
    sK104: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_201,type,
    sK105: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_202,type,
    sK106: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_203,type,
    sK107: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_204,type,
    sK108: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_205,type,
    sK109: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_206,type,
    sK110: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_207,type,
    sK111: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_208,type,
    sK112: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_209,type,
    sK113: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_210,type,
    sK114: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_211,type,
    sK115: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_212,type,
    sK116: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_213,type,
    sK117: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_214,type,
    sK118: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_215,type,
    sK119: 'Int_int_fun$' > $int ).

tff(func_def_216,type,
    sK120: 'Int_int_fun$' > $int ).

tff(func_def_217,type,
    sK121: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_218,type,
    sK122: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_219,type,
    sK123: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_220,type,
    sK124: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_221,type,
    sK125: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_222,type,
    sK126: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_223,type,
    sK132: 'Int_int_fun$' > $int ).

tff(func_def_224,type,
    sK133: 'Int_int_fun$' > $int ).

tff(func_def_225,type,
    sK134: 'Int_int_fun$' > $int ).

tff(func_def_226,type,
    sK135: 'Int_int_fun$' > $int ).

tff(func_def_227,type,
    sK136: 'Int_int_fun$' > $int ).

tff(func_def_228,type,
    sK137: 'Int_int_fun$' > $int ).

tff(func_def_229,type,
    sK138: 'Int_int_fun$' > $int ).

tff(func_def_230,type,
    sK139: 'Int_int_fun$' > $int ).

tff(func_def_231,type,
    sK140: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_232,type,
    sK141: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_233,type,
    sK142: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_234,type,
    sK143: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_235,type,
    sK144: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_236,type,
    sK145: $int > $int ).

tff(func_def_237,type,
    sK146: $int > $int ).

tff(func_def_238,type,
    sK147: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_239,type,
    sK148: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_240,type,
    sK149: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_241,type,
    sK150: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_242,type,
    sK151: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_243,type,
    sK152: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_244,type,
    sK153: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_245,type,
    sK154: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_246,type,
    sK155: 'Int_int_fun$' > $int ).

tff(func_def_247,type,
    sK156: 'Int_int_fun$' > $int ).

tff(func_def_248,type,
    sK157: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_249,type,
    sK158: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_250,type,
    sK159: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_251,type,
    sK160: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_252,type,
    sK161: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_253,type,
    sK162: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_254,type,
    sK163: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_255,type,
    sK164: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_256,type,
    sK165: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_257,type,
    sK166: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_258,type,
    sK167: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_259,type,
    sK168: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_260,type,
    sK169: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_261,type,
    sK170: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_262,type,
    sK171: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_263,type,
    sK172: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_264,type,
    sK173: 'Int_int_fun$' > $int ).

tff(func_def_265,type,
    sK174: 'Int_int_fun$' > $int ).

tff(func_def_266,type,
    sK175: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_267,type,
    sK176: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_268,type,
    sK177: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_269,type,
    sK178: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_270,type,
    sK179: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_271,type,
    sK180: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_272,type,
    sK181: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_273,type,
    sK182: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_274,type,
    sK183: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_275,type,
    sK184: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_276,type,
    sK185: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_277,type,
    sK186: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_278,type,
    sK187: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_279,type,
    sK188: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_280,type,
    sK189: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_281,type,
    sK190: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_282,type,
    sK191: 'Int_int_fun$' > $int ).

tff(func_def_283,type,
    sK192: 'Int_int_fun$' > $int ).

tff(func_def_284,type,
    sK193: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_285,type,
    sK194: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_286,type,
    sK195: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_287,type,
    sK196: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_288,type,
    sK197: 'Int_int_fun$' > $int ).

tff(func_def_289,type,
    sK198: 'Int_int_fun$' > $int ).

tff(func_def_290,type,
    sK199: ( 'A_ltln_set$' * 'Nat$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_291,type,
    sK200: ( 'A_ltln_set$' * 'Nat$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_292,type,
    sK201: ( 'A_ltln_set$' * 'Nat$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_293,type,
    sK202: ( 'A_ltln_set$' * 'Nat$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_294,type,
    sK203: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_295,type,
    sK204: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_296,type,
    sK205: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_297,type,
    sK206: ( 'Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_298,type,
    sK207: ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_299,type,
    sK208: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_300,type,
    sK209: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_301,type,
    sK210: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_302,type,
    sK211: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_303,type,
    sK212: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_304,type,
    sK213: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_305,type,
    sK214: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_306,type,
    sK215: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_307,type,
    sK216: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_308,type,
    sK217: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_309,type,
    sK218: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_310,type,
    sK219: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_311,type,
    sK220: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_312,type,
    sK221: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_313,type,
    sK222: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_314,type,
    sK223: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_315,type,
    sK224: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_316,type,
    sK225: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_317,type,
    sK226: ( 'A_ltln_set$' * 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_318,type,
    sK227: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_319,type,
    sK228: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_320,type,
    sK229: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_321,type,
    sK230: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_322,type,
    sK231: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_323,type,
    sK232: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_324,type,
    sK233: 'Int_int_int_fun_fun$' > $int ).

tff(pred_def_1,type,
    'fun_app$a': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).

tff(pred_def_2,type,
    'less_eq$c': ( 'Nat_set$' * 'Nat_set$' ) > $o ).

tff(pred_def_3,type,
    'less_eq$b': ( tlbool * tlbool ) > $o ).

tff(pred_def_4,type,
    'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).

tff(pred_def_5,type,
    'less$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).

tff(pred_def_6,type,
    'less_eq$d': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > $o ).

tff(pred_def_7,type,
    'fun_app$': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_8,type,
    'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$d': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).

tff(pred_def_10,type,
    'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_11,type,
    'member$b': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).

tff(pred_def_12,type,
    'less$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_13,type,
    'semilattice_order_set$': ( 'Int_int_int_fun_fun$' * 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).

tff(pred_def_14,type,
    'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).

tff(pred_def_15,type,
    'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_18,type,
    sP127: ( $int * $int * $int ) > $o ).

tff(pred_def_19,type,
    sP128: ( $int * $int * $int ) > $o ).

tff(pred_def_20,type,
    sP129: ( $int * $int * $int ) > $o ).

tff(pred_def_21,type,
    sP130: ( $int * $int * $int ) > $o ).

tff(f31,conjecture,
    'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture30) ).

tff(f32,negated_conjecture,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(negated_conjecture,[status(cth)],[f31]) ).

tff(f34,axiom,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom32) ).

tff(f36,axiom,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom34) ).

tff(f41,axiom,
    ! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'Nat_a_set_fun$'] :
      ( 'member$'(X0,'g$'(X1,X2))
     => 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom39) ).

tff(f112,axiom,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$g'('collect$b','uum$'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom110) ).

tff(f416,axiom,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'f_G$'(X0,X1) = 'fun_app$g'('collect$b','uuo$'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom414) ).

tff(f837,plain,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(flattening,[],[f32]) ).

tff(f854,plain,
    ! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'Nat_a_set_fun$'] :
      ( 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0))
      | ~ 'member$'(X0,'g$'(X1,X2)) ),
    inference(ennf_transformation,[],[f41]) ).

tff(f1493,plain,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(cnf_transformation,[],[f837]) ).

tff(f1495,plain,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    inference(cnf_transformation,[],[f34]) ).

tff(f1497,plain,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    inference(cnf_transformation,[],[f36]) ).

tff(f1505,plain,
    ! [X2: 'Nat_a_set_fun$',X0: 'A_ltln$',X1: 'A_ltln$'] :
      ( ~ 'member$'(X0,'g$'(X1,X2))
      | 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0)) ),
    inference(cnf_transformation,[],[f854]) ).

tff(f1635,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$g'('collect$b','uum$'(X0,X1)) ),
    inference(cnf_transformation,[],[f112]) ).

tff(f2156,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'f_G$'(X0,X1) = 'fun_app$g'('collect$b','uuo$'(X0,X1)) ),
    inference(cnf_transformation,[],[f416]) ).

tff(f2520,plain,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'fun_app$g'('collect$b','uuo$'('phi$','w$'))),
    inference(definition_unfolding,[],[f1495,f2156]) ).

tff(f2522,plain,
    'fun_app$g'('collect$b','uuo$'('phi$','w$')) = 'fun_app$g'('collect$b','uum$'('phi$','suffix$'('eps$'('uu$'),'w$'))),
    inference(definition_unfolding,[],[f1497,f2156,f1635]) ).

tff(f2523,plain,
    ! [X2: 'Nat_a_set_fun$',X0: 'A_ltln$',X1: 'A_ltln$'] :
      ( 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0))
      | ~ 'member$'(X0,'fun_app$g'('collect$b','uum$'(X1,X2))) ),
    inference(definition_unfolding,[],[f1505,f1635]) ).

tff(f7241,plain,
    ! [X0: 'A_ltln$'] : ~ 'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'fun_app$g'('collect$b','uum$'(X0,'suffix$'('eps$'('uu$'),'w$')))),
    inference(resolution,[],[f2523,f1493]) ).

tff(f7715,plain,
    ~ 'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'fun_app$g'('collect$b','uuo$'('phi$','w$'))),
    inference(superposition,[],[f7241,f2522]) ).

tff(f7737,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f7715,f2520]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP364_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42  % Computer : n006.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % 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 12:55:10 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48  Running first-order model finding
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.12/1.41  % (2954177)Will run a generic schedule for satisfiability detection.
% 6.12/1.41  % (2954182)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2490737238_2999 on theBenchmark for (2999ds/0Mi)
% 6.12/1.41  % (2954186)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=474749889:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.12/1.41  % (2954183)% WARNING: option uhcvi not known.
% 6.12/1.41  % (2954184)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=400178882:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.12/1.41  % (2954183)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3116577637:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.12/1.41  % (2954188)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1453057698:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.12/1.41  % (2954185)dis+10_1_sil=32000:sp=arity:random_seed=3157826791:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.12/1.41  % (2954187)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1539057661:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.12/1.41  % (2954182)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.41  % (2954182)Terminated due to inappropriate strategy.
% 6.12/1.41  % (2954182)------------------------------
% 6.12/1.41  % (2954182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.41  % (2954182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.41  % (2954182)CaDiCaL version: 2.1.3
% 6.12/1.41  % (2954182)Termination reason: Inappropriate
% 6.12/1.41  % (2954182)Time elapsed: 0.034 s
% 6.12/1.41  % (2954182)Peak memory usage: 12 MB
% 6.12/1.41  % (2954182)Instructions burned: 71 (million)
% 6.12/1.41  % (2954182)------------------------------
% 6.12/1.41  % (2954182)------------------------------
% 6.12/1.41  % (2954196)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3850486947:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.12/1.41  % (2954196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.41  % (2954196)Terminated due to inappropriate strategy.
% 6.12/1.41  % (2954196)------------------------------
% 6.12/1.41  % (2954196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.41  % (2954196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.41  % (2954196)CaDiCaL version: 2.1.3
% 6.12/1.41  % (2954196)Termination reason: Inappropriate
% 6.12/1.41  % (2954196)Time elapsed: 0.027 s
% 6.12/1.41  % (2954196)Peak memory usage: 12 MB
% 6.12/1.41  % (2954196)Instructions burned: 55 (million)
% 6.12/1.41  % (2954196)------------------------------
% 6.12/1.41  % (2954196)------------------------------
% 6.12/1.41  % (2954198)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2309355316:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.12/1.41  % (2954185)Instruction limit reached! 
% 6.12/1.41  % (2954185)------------------------------
% 6.12/1.41  % (2954185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.41  % (2954185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.41  % (2954185)CaDiCaL version: 2.1.3
% 6.12/1.41  % (2954185)Termination reason: Instruction limit
% 6.12/1.41  % (2954185)Termination phase: Saturation
% 6.12/1.41  % (2954185)Time elapsed: 0.102 s
% 6.12/1.41  % (2954185)Peak memory usage: 14 MB
% 6.12/1.41  % (2954185)Instructions burned: 103 (million)
% 6.12/1.41  % (2954186)Instruction limit reached! 
% 6.12/1.41  % (2954186)------------------------------
% 6.12/1.41  % (2954186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.41  % (2954186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.41  % (2954186)CaDiCaL version: 2.1.3
% 6.12/1.41  % (2954186)Termination reason: Instruction limit
% 6.12/1.41  % (2954186)Termination phase: Saturation
% 6.12/1.41  % (2954186)Time elapsed: 0.111 s
% 6.12/1.41  % (2954186)Peak memory usage: 14 MB
% 6.12/1.41  % (2954186)Instructions burned: 117 (million)
% 6.12/1.41  % (2954187)Instruction limit reached! 
% 6.12/1.41  % (2954187)------------------------------
% 6.12/1.41  % (2954187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.41  % (2954187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.41  % (2954187)CaDiCaL version: 2.1.3
% 6.12/1.41  % (2954187)Termination reason: Instruction limit
% 6.12/1.43  % (2954187)Termination phase: Saturation
% 6.12/1.43  % (2954187)Time elapsed: 0.127 s
% 6.12/1.43  % (2954187)Peak memory usage: 14 MB
% 6.12/1.43  % (2954187)Instructions burned: 131 (million)
% 6.12/1.43  % (2954201)ott-21_1_sil=16000:fs=off:random_seed=3732804062:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.12/1.43  % (2954200)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1646554533:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.12/1.43  % (2954202)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1238989297:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.12/1.43  % (2954188)Instruction limit reached! 
% 6.12/1.43  % (2954188)------------------------------
% 6.12/1.43  % (2954188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.43  % (2954188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.43  % (2954188)CaDiCaL version: 2.1.3
% 6.12/1.43  % (2954188)Termination reason: Instruction limit
% 6.12/1.43  % (2954188)Termination phase: Saturation
% 6.12/1.43  % (2954188)Time elapsed: 0.156 s
% 6.12/1.43  % (2954188)Peak memory usage: 15 MB
% 6.12/1.43  % (2954188)Instructions burned: 159 (million)
% 6.12/1.43  % (2954206)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3708916185:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.12/1.43  % (2954198)Instruction limit reached! 
% 6.12/1.43  % (2954198)------------------------------
% 6.12/1.43  % (2954198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.43  % (2954198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.43  % (2954198)CaDiCaL version: 2.1.3
% 6.12/1.43  % (2954198)Termination reason: Instruction limit
% 6.12/1.43  % (2954198)Termination phase: Saturation
% 6.12/1.43  % (2954198)Time elapsed: 0.089 s
% 6.12/1.43  % (2954198)Peak memory usage: 14 MB
% 6.12/1.43  % (2954198)Instructions burned: 131 (million)
% 6.12/1.43  % (2954206)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.43  % (2954206)Terminated due to inappropriate strategy.
% 6.12/1.43  % (2954206)------------------------------
% 6.12/1.43  % (2954206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.43  % (2954206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.43  % (2954206)CaDiCaL version: 2.1.3
% 6.12/1.43  % (2954206)Termination reason: Inappropriate
% 6.12/1.43  % (2954206)Time elapsed: 0.029 s
% 6.12/1.43  % (2954206)Peak memory usage: 12 MB
% 6.12/1.43  % (2954206)Instructions burned: 53 (million)
% 6.12/1.43  % (2954206)------------------------------
% 6.12/1.43  % (2954206)------------------------------
% 6.12/1.43  % (2954208)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=191757012:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.12/1.43  % (2954209)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2575739134:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 6.12/1.43  % (2954209)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.43  % (2954209)Terminated due to inappropriate strategy.
% 6.12/1.43  % (2954209)------------------------------
% 6.12/1.43  % (2954209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.43  % (2954209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.43  % (2954209)CaDiCaL version: 2.1.3
% 6.12/1.43  % (2954209)Termination reason: Inappropriate
% 6.12/1.43  % (2954209)Time elapsed: 0.040 s
% 6.12/1.43  % (2954209)Peak memory usage: 12 MB
% 6.12/1.43  % (2954209)Instructions burned: 55 (million)
% 6.12/1.43  % (2954209)------------------------------
% 6.12/1.43  % (2954209)------------------------------
% 6.12/1.43  % (2954201)Instruction limit reached! 
% 6.12/1.43  % (2954201)------------------------------
% 6.12/1.43  % (2954201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.43  % (2954201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.43  % (2954201)CaDiCaL version: 2.1.3
% 6.12/1.43  % (2954201)Termination reason: Instruction limit
% 6.12/1.43  % (2954201)Termination phase: Saturation
% 6.12/1.43  % (2954201)Time elapsed: 0.159 s
% 6.12/1.43  % (2954201)Peak memory usage: 14 MB
% 6.12/1.43  % (2954201)Instructions burned: 181 (million)
% 6.12/1.43  % (2954212)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3699434777:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 6.12/1.44  % (2954213)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3774416394:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 6.12/1.44  % (2954202)Instruction limit reached! 
% 6.12/1.44  % (2954202)------------------------------
% 6.12/1.44  % (2954202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954202)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954202)Termination reason: Instruction limit
% 6.12/1.44  % (2954202)Termination phase: Saturation
% 6.12/1.44  % (2954202)Time elapsed: 0.282 s
% 6.12/1.44  % (2954202)Peak memory usage: 16 MB
% 6.12/1.44  % (2954202)Instructions burned: 478 (million)
% 6.12/1.44  % (2954216)fmb+10_1_sil=64000:random_seed=194935939:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 6.12/1.44  % (2954216)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.44  % (2954216)Terminated due to inappropriate strategy.
% 6.12/1.44  % (2954216)------------------------------
% 6.12/1.44  % (2954216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954216)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954216)Termination reason: Inappropriate
% 6.12/1.44  % (2954216)Time elapsed: 0.064 s
% 6.12/1.44  % (2954216)Peak memory usage: 12 MB
% 6.12/1.44  % (2954216)Instructions burned: 60 (million)
% 6.12/1.44  % (2954216)------------------------------
% 6.12/1.44  % (2954216)------------------------------
% 6.12/1.44  % (2954218)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2630481975:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 6.12/1.44  % (2954218)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.44  % (2954218)Terminated due to inappropriate strategy.
% 6.12/1.44  % (2954218)------------------------------
% 6.12/1.44  % (2954218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954218)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954218)Termination reason: Inappropriate
% 6.12/1.44  % (2954218)Time elapsed: 0.031 s
% 6.12/1.44  % (2954218)Peak memory usage: 12 MB
% 6.12/1.44  % (2954218)Instructions burned: 55 (million)
% 6.12/1.44  % (2954218)------------------------------
% 6.12/1.44  % (2954218)------------------------------
% 6.12/1.44  % (2954220)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1496573421:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 6.12/1.44  % (2954220)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.12/1.44  % (2954220)Terminated due to inappropriate strategy.
% 6.12/1.44  % (2954220)------------------------------
% 6.12/1.44  % (2954220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954220)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954220)Termination reason: Inappropriate
% 6.12/1.44  % (2954220)Time elapsed: 0.033 s
% 6.12/1.44  % (2954220)Peak memory usage: 12 MB
% 6.12/1.44  % (2954220)Instructions burned: 55 (million)
% 6.12/1.44  % (2954220)------------------------------
% 6.12/1.44  % (2954220)------------------------------
% 6.12/1.44  % (2954224)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2862458978:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 6.12/1.44  % (2954213)Instruction limit reached! 
% 6.12/1.44  % (2954213)------------------------------
% 6.12/1.44  % (2954213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954213)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954213)Termination reason: Instruction limit
% 6.12/1.44  % (2954213)Termination phase: Saturation
% 6.12/1.44  % (2954213)Time elapsed: 0.428 s
% 6.12/1.44  % (2954213)Peak memory usage: 19 MB
% 6.12/1.44  % (2954213)Instructions burned: 880 (million)
% 6.12/1.44  % (2954226)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3672856669:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 6.12/1.44  % (2954200)Instruction limit reached! 
% 6.12/1.44  % (2954200)------------------------------
% 6.12/1.44  % (2954200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954200)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954200)Termination reason: Instruction limit
% 6.12/1.44  % (2954200)Termination phase: Saturation
% 6.12/1.44  % (2954200)Time elapsed: 0.717 s
% 6.12/1.44  % (2954200)Peak memory usage: 20 MB
% 6.12/1.44  % (2954200)Instructions burned: 684 (million)
% 6.12/1.44  % (2954224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2954177-2954224"...
% 6.12/1.44  % (2954224)...printing done.
% 6.12/1.44  % (2954224)Refutation found. Thanks to Tanya!
% 6.12/1.44  % SZS status Theorem for theBenchmark
% 6.12/1.44  % SZS output start Proof for theBenchmark
% See solution above
% 6.12/1.44  % (2954224)------------------------------
% 6.12/1.44  % (2954224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.44  % (2954224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.44  % (2954224)CaDiCaL version: 2.1.3
% 6.12/1.44  % (2954224)Termination reason: Refutation
% 6.12/1.44  % (2954224)Time elapsed: 0.188 s
% 6.12/1.44  % (2954224)Peak memory usage: 15 MB
% 6.12/1.44  % (2954224)Instructions burned: 283 (million)
% 6.12/1.44  % (2954177)Success in time 0.944 s
% 6.12/1.44  % Vampire exiting
%------------------------------------------------------------------------------