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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW819_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:37:52 PM UTC 2026

% Result   : Unsatisfiable 1.42s 0.99s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  10 unt;   0 typ;   4 def)
%            Number of atoms       :  311 ( 213 equ)
%            Maximal formula atoms :   41 (  12 avg)
%            Number of connectives :  381 (  94   ~;  15   |; 184   &)
%                                         (   4 <=>;  84  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (  18 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number arithmetic     :  490 (  68 atm;  93 fun; 208 num; 121 var)
%            Number of types       :    7 (   4 usr;   2 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  25 usr;   5 prp; 0-4 aty)
%            Number of functors    :  273 ( 261 usr;  33 con; 0-9 aty)
%            Number of variables   :  185 (  95   !;  90   ?; 185   :)

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

tff(type_def_6,type,
    c_Boolean: $tType ).

tff(type_def_7,type,
    c_type: $tType ).

tff(type_def_8,type,
    c_unique: $tType ).

tff(func_def_0,type,
    pset_acc_range_left: ( c_ssorted * c_ssorted * $int ) > c_unique ).

tff(func_def_1,type,
    c_Boolean_true: c_Boolean ).

tff(func_def_2,type,
    ss2Real: c_ssorted > $real ).

tff(func_def_3,type,
    base_addr: c_ssorted > c_unique ).

tff(func_def_4,type,
    pset_acc_range: ( c_ssorted * c_ssorted * $int * $int ) > c_unique ).

tff(func_def_5,type,
    type_pset: c_type > c_type ).

tff(func_def_6,type,
    '%': ( $int * $int ) > $int ).

tff(func_def_7,type,
    neq_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_8,type,
    whydivide: ( $int * $int ) > $int ).

tff(func_def_9,type,
    c_Boolean_false: c_Boolean ).

tff(func_def_10,type,
    pset_singleton: c_ssorted > c_unique ).

tff(func_def_11,type,
    bool2U: c_Boolean > c_unique ).

tff(func_def_12,type,
    type_alloc_table: c_type ).

tff(func_def_13,type,
    gt_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_14,type,
    pset_acc_range_right: ( c_ssorted * c_ssorted * $int ) > c_unique ).

tff(func_def_15,type,
    type_pointer: c_type > c_type ).

tff(func_def_16,type,
    shift: ( c_ssorted * $int ) > c_unique ).

tff(func_def_17,type,
    upd: ( c_ssorted * c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_18,type,
    pset_all: c_ssorted > c_unique ).

tff(func_def_19,type,
    int2U: $int > c_unique ).

tff(func_def_20,type,
    c_real: c_type ).

tff(func_def_21,type,
    lt_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_22,type,
    pset_range: ( c_ssorted * $int * $int ) > c_unique ).

tff(func_def_23,type,
    ss2Int: c_ssorted > $int ).

tff(func_def_24,type,
    pset_union: ( c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_25,type,
    le_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_26,type,
    null: c_unique ).

tff(func_def_27,type,
    real2U: $real > c_unique ).

tff(func_def_28,type,
    smtlib__ite: ( c_Boolean * c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_29,type,
    pset_range_left: ( c_ssorted * $int ) > c_unique ).

tff(func_def_30,type,
    block_length: ( c_ssorted * c_ssorted ) > $int ).

tff(func_def_31,type,
    c_sort: ( c_type * c_unique ) > c_ssorted ).

tff(func_def_32,type,
    eq_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_33,type,
    sub_pointer: ( c_ssorted * c_ssorted ) > $int ).

tff(func_def_34,type,
    pset_empty: c_unique ).

tff(func_def_35,type,
    c_bool: c_type ).

tff(func_def_36,type,
    ss2Bool: c_ssorted > c_Boolean ).

tff(func_def_37,type,
    type_memory: ( c_type * c_type ) > c_type ).

tff(func_def_38,type,
    acc: ( c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_39,type,
    c_int: c_type ).

tff(func_def_40,type,
    type_global: c_type ).

tff(func_def_41,type,
    pset_range_right: ( c_ssorted * $int ) > c_unique ).

tff(func_def_42,type,
    pset_acc_all: ( c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_43,type,
    pset_star: ( c_ssorted * c_ssorted ) > c_unique ).

tff(func_def_44,type,
    ge_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_45,type,
    offset: c_ssorted > $int ).

tff(func_def_58,type,
    sK0: ( $int * c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_59,type,
    sK1: ( $int * c_type * $int * c_type * c_unique * c_unique * c_unique * c_unique * $int ) > c_type ).

tff(func_def_60,type,
    sK2: ( c_type * c_unique * c_unique ) > c_type ).

tff(func_def_61,type,
    sK3: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_62,type,
    sK4: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_63,type,
    sK5: ( c_unique * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_64,type,
    sK6: ( c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_65,type,
    sK7: ( c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_66,type,
    sK8: ( c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_67,type,
    sK9: ( c_unique * $int * $int * c_unique * $int * c_type ) > c_type ).

tff(func_def_68,type,
    sK10: ( c_unique * $int * $int * c_unique * $int * c_type ) > c_ssorted ).

tff(func_def_69,type,
    sK11: ( c_unique * $int * $int * c_unique * $int * c_type ) > c_ssorted ).

tff(func_def_70,type,
    sK12: ( c_unique * c_unique * c_type * $int ) > c_ssorted ).

tff(func_def_71,type,
    sK13: ( c_unique * c_unique * c_type * $int ) > c_ssorted ).

tff(func_def_72,type,
    sK14: ( c_unique * c_unique * c_type * $int ) > $int ).

tff(func_def_73,type,
    sK15: ( c_unique * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_74,type,
    sK16: ( c_unique * c_unique * c_unique * c_type ) > c_ssorted ).

tff(func_def_75,type,
    sK17: ( c_unique * c_unique * c_unique * c_type ) > c_ssorted ).

tff(func_def_76,type,
    sK18: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_77,type,
    sK19: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_78,type,
    sK20: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_79,type,
    sK21: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_80,type,
    sK22: ( c_type * c_unique * c_unique ) > $int ).

tff(func_def_81,type,
    sK23: ( c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_82,type,
    sK24: ( c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_83,type,
    sK25: ( c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_84,type,
    sK26: ( c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_85,type,
    sK27: ( c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_86,type,
    sK28: ( c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_87,type,
    sK29: ( c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_88,type,
    sK30: ( c_unique * $int * $int * c_type ) > c_type ).

tff(func_def_89,type,
    sK31: ( c_unique * $int * $int * c_type ) > c_ssorted ).

tff(func_def_90,type,
    sK32: ( c_type * c_unique * c_type * $int ) > c_unique ).

tff(func_def_91,type,
    sK33: ( c_type * c_unique * c_type * $int ) > c_unique ).

tff(func_def_92,type,
    sK34: ( c_type * c_unique * c_type * $int ) > $int ).

tff(func_def_93,type,
    sK35: ( c_type * c_unique * c_type * $int ) > $int ).

tff(func_def_94,type,
    sK36: ( c_type * c_unique * c_type * $int * c_unique * $int * $int ) > c_type ).

tff(func_def_95,type,
    sK37: ( c_type * c_unique * c_type * $int * c_unique * $int * $int ) > c_ssorted ).

tff(func_def_96,type,
    sK38: ( c_type * c_unique * c_type * $int * c_unique * $int * $int ) > c_type ).

tff(func_def_97,type,
    sK39: ( c_type * c_unique * c_type * $int * c_unique * $int * $int ) > c_ssorted ).

tff(func_def_98,type,
    sK40: ( c_type * c_unique * c_unique * $int ) > c_type ).

tff(func_def_99,type,
    sK41: ( c_type * c_unique * c_unique * $int ) > c_unique ).

tff(func_def_100,type,
    sK42: ( c_type * c_unique * c_unique * $int ) > $int ).

tff(func_def_101,type,
    sK43: ( c_unique * c_type * c_unique ) > c_type ).

tff(func_def_102,type,
    sK44: ( c_unique * c_type * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_103,type,
    sK45: ( c_unique * c_type * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_104,type,
    sK46: ( c_unique * c_type * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_105,type,
    sK47: ( c_unique * c_type * c_type ) > c_unique ).

tff(func_def_106,type,
    sK48: ( c_unique * c_type * c_type ) > c_unique ).

tff(func_def_107,type,
    sK49: ( $int * c_unique * c_type * $int * c_unique ) > c_type ).

tff(func_def_108,type,
    sK50: ( $int * c_unique * c_type * $int * c_unique ) > c_unique ).

tff(func_def_109,type,
    sK51: ( $int * c_unique * c_type * $int * c_unique ) > $int ).

tff(func_def_110,type,
    sK52: ( c_type * c_unique * $int ) > c_type ).

tff(func_def_111,type,
    sK53: ( c_type * c_unique * $int ) > c_ssorted ).

tff(func_def_112,type,
    sK54: ( c_unique * c_unique * c_type * c_type * c_unique * $int ) > c_type ).

tff(func_def_113,type,
    sK55: ( c_unique * c_unique * c_type * c_type * c_unique * $int * c_unique * $int ) > c_type ).

tff(func_def_114,type,
    sK56: ( c_type * c_unique * c_unique ) > c_type ).

tff(func_def_115,type,
    sK57: ( c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_116,type,
    sK58: ( c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_117,type,
    sK59: $int > $int ).

tff(func_def_118,type,
    sK60: ( c_unique * c_type * c_unique ) > c_type ).

tff(func_def_119,type,
    sK61: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_120,type,
    sK62: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_121,type,
    sK63: ( c_unique * c_unique * c_type ) > c_type ).

tff(func_def_122,type,
    sK64: ( c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_123,type,
    sK65: ( c_unique * c_unique * $int * c_type ) > c_ssorted ).

tff(func_def_124,type,
    sK66: ( c_unique * c_unique * $int * c_type ) > c_type ).

tff(func_def_125,type,
    sK67: ( c_unique * c_unique * $int * c_type ) > c_ssorted ).

tff(func_def_126,type,
    sK68: c_unique > c_ssorted ).

tff(func_def_127,type,
    sK69: ( $int * c_type * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_128,type,
    sK70: ( $int * c_type * c_unique * c_unique * c_type * c_unique * $int ) > c_type ).

tff(func_def_129,type,
    sK71: ( $int * c_type * c_unique * c_unique * c_type * c_unique * $int ) > c_type ).

tff(func_def_130,type,
    sK72: ( $int * c_type * c_unique * c_unique * c_type * c_unique * $int ) > c_ssorted ).

tff(func_def_131,type,
    sK73: ( $int * c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_132,type,
    sK74: ( $int * c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_133,type,
    sK75: ( $int * c_type * c_unique * c_unique * c_type ) > $int ).

tff(func_def_134,type,
    sK76: ( c_type * c_unique * c_unique ) > c_type ).

tff(func_def_135,type,
    sK77: ( c_type * c_unique * c_unique ) > c_unique ).

tff(func_def_136,type,
    sK78: ( c_unique * c_type * c_unique ) > c_type ).

tff(func_def_137,type,
    sK79: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_138,type,
    sK80: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_139,type,
    sK81: ( c_unique * c_unique * c_type * c_type * c_unique ) > c_type ).

tff(func_def_140,type,
    sK82: ( c_unique * c_unique * c_type * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_141,type,
    sK83: ( c_unique * $int * $int * c_type * c_unique * c_type * c_unique ) > c_type ).

tff(func_def_142,type,
    sK84: ( c_unique * $int * $int * c_type * c_unique * c_type * c_unique ) > c_unique ).

tff(func_def_143,type,
    sK85: ( c_unique * $int * $int * c_type * c_unique * c_type * c_unique ) > $int ).

tff(func_def_144,type,
    sK86: ( c_type * c_unique * c_unique * $int * $int * c_unique ) > c_ssorted ).

tff(func_def_145,type,
    sK87: ( c_unique * c_unique * c_unique * c_unique * c_type * c_type ) > c_type ).

tff(func_def_146,type,
    sK88: ( c_unique * c_unique * c_unique * c_unique * c_type * c_type ) > c_type ).

tff(func_def_147,type,
    sK89: ( c_unique * c_unique * c_unique * c_unique * c_type * c_type ) > c_ssorted ).

tff(func_def_148,type,
    sK90: ( c_unique * c_unique * c_unique * c_unique * c_type * c_type ) > c_ssorted ).

tff(func_def_149,type,
    sK91: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_150,type,
    sK92: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_151,type,
    sK93: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_152,type,
    sK94: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_153,type,
    sK95: ( c_unique * c_type ) > c_ssorted ).

tff(func_def_154,type,
    sK96: ( c_unique * $int * c_type * c_type * c_unique ) > c_type ).

tff(func_def_155,type,
    sK97: ( c_unique * $int * c_type * c_type * c_unique ) > c_unique ).

tff(func_def_156,type,
    sK98: ( c_unique * $int * c_type * c_type * c_unique ) > $int ).

tff(func_def_157,type,
    sK99: ( c_unique * $int * c_type * c_type * c_unique ) > c_unique ).

tff(func_def_158,type,
    sK100: ( c_unique * $int * c_type * c_type * c_unique * c_unique * $int * c_unique ) > c_type ).

tff(func_def_159,type,
    sK101: ( c_unique * $int * c_type * c_type * c_unique * c_unique * $int * c_unique ) > c_type ).

tff(func_def_160,type,
    sK102: ( c_type * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_161,type,
    sK103: ( c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_162,type,
    sK104: ( c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_163,type,
    sK105: ( c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_164,type,
    sK106: ( c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_165,type,
    sK107: ( c_type * c_unique * $int * c_unique * $int ) > c_ssorted ).

tff(func_def_166,type,
    sK108: ( c_type * c_unique * $int * c_unique * $int ) > c_ssorted ).

tff(func_def_167,type,
    sK109: ( c_type * c_unique * $int * c_unique * $int ) > $int ).

tff(func_def_168,type,
    sK110: ( c_unique * c_type * c_unique ) > c_type ).

tff(func_def_169,type,
    sK111: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_170,type,
    sK112: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_171,type,
    sK113: ( c_unique * $int * c_type ) > c_type ).

tff(func_def_172,type,
    sK114: ( c_unique * $int * c_type ) > c_ssorted ).

tff(func_def_173,type,
    sK115: ( c_unique * $int * c_unique * c_type * $int * $int ) > c_ssorted ).

tff(func_def_174,type,
    sK116: ( c_unique * $int * c_unique * c_type * $int * $int ) > c_ssorted ).

tff(func_def_175,type,
    sK117: ( c_unique * c_type * c_unique * c_unique * $int * c_type ) > c_type ).

tff(func_def_176,type,
    sK118: ( c_unique * c_type * c_unique * c_unique * $int * c_type * c_unique * $int ) > c_type ).

tff(func_def_177,type,
    sK119: ( c_unique * c_type * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_178,type,
    sK120: ( c_unique * c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_179,type,
    sK121: ( c_unique * c_type * c_unique * c_unique * c_type ) > $int ).

tff(func_def_180,type,
    sK122: ( c_unique * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_181,type,
    sK123: ( c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_182,type,
    sK124: ( c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_183,type,
    sK125: ( c_unique * $int * c_unique * c_type * c_unique * c_type ) > c_type ).

tff(func_def_184,type,
    sK126: ( c_unique * $int * c_unique * c_type * c_unique * c_type ) > c_unique ).

tff(func_def_185,type,
    sK127: ( c_unique * $int * c_unique * c_type * c_unique * c_type ) > $int ).

tff(func_def_186,type,
    sK128: ( c_unique * $int * c_unique * c_type ) > c_type ).

tff(func_def_187,type,
    sK129: ( c_unique * c_type * c_unique * $int * $int ) > c_ssorted ).

tff(func_def_188,type,
    sK130: ( c_unique * c_type * c_unique * $int * $int ) > c_ssorted ).

tff(func_def_189,type,
    sK131: ( $int * c_unique * c_type * c_unique ) > c_type ).

tff(func_def_190,type,
    sK132: ( $int * c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_191,type,
    sK133: ( $int * c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_192,type,
    sK134: ( c_type * $int * $int * c_unique * c_unique ) > c_type ).

tff(func_def_193,type,
    sK135: ( c_type * $int * $int * c_unique * c_unique ) > c_ssorted ).

tff(func_def_194,type,
    sK136: ( c_type * $int * $int * c_unique * c_unique ) > c_ssorted ).

tff(func_def_195,type,
    sK137: ( c_type * c_unique * c_unique * $int ) > c_type ).

tff(func_def_196,type,
    sK138: ( c_type * c_unique * c_unique ) > c_type ).

tff(func_def_197,type,
    sK139: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_198,type,
    sK140: ( c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_199,type,
    sK141: ( $int * c_type * c_unique * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_200,type,
    sK142: ( $int * c_type * c_unique * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_201,type,
    sK143: ( $int * c_type * c_unique * c_unique * c_unique * c_type ) > $int ).

tff(func_def_202,type,
    sK144: ( c_type * c_unique * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_203,type,
    sK145: ( c_type * c_unique * c_type * c_unique * c_unique * c_unique ) > c_unique ).

tff(func_def_204,type,
    sK146: ( c_type * c_unique * c_type * c_unique * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_205,type,
    sK147: ( c_type * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_206,type,
    sK148: ( c_type * c_unique * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_207,type,
    sK149: ( c_unique * c_unique * $int * c_type ) > c_type ).

tff(func_def_208,type,
    sK150: ( c_unique * c_unique * $int * c_type ) > c_unique ).

tff(func_def_209,type,
    sK151: ( c_unique * c_unique * $int * c_type ) > $int ).

tff(func_def_210,type,
    sK152: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_type ).

tff(func_def_211,type,
    sK153: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_212,type,
    sK154: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_213,type,
    sK155: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_214,type,
    sK156: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_215,type,
    sK157: ( c_unique * c_type * c_unique * c_unique * c_type * c_unique * c_unique ) > c_ssorted ).

tff(func_def_216,type,
    sK158: ( c_unique * c_unique * c_type * c_type * c_unique ) > c_type ).

tff(func_def_217,type,
    sK159: ( c_unique * c_unique * c_type * c_type * c_unique * c_unique * $int ) > c_type ).

tff(func_def_218,type,
    sK160: $int ).

tff(func_def_219,type,
    sK161: c_unique ).

tff(func_def_220,type,
    sK162: c_unique ).

tff(func_def_221,type,
    sK163: $int ).

tff(func_def_222,type,
    sK164: $int ).

tff(func_def_223,type,
    sK165: c_unique ).

tff(func_def_224,type,
    sK166: $int ).

tff(func_def_225,type,
    sK167: $int > c_type ).

tff(func_def_226,type,
    sK168: $int ).

tff(func_def_227,type,
    sK169: $int ).

tff(func_def_228,type,
    sK170: $int ).

tff(func_def_229,type,
    sK171: $int ).

tff(func_def_230,type,
    sK172: $int ).

tff(func_def_231,type,
    sK173: c_unique ).

tff(func_def_232,type,
    sK174: $int ).

tff(func_def_233,type,
    sK175: $int ).

tff(func_def_234,type,
    sK176: c_unique ).

tff(func_def_235,type,
    sK177: c_type > c_unique ).

tff(func_def_236,type,
    sK178: c_type > $int ).

tff(func_def_237,type,
    sK179: c_type > c_unique ).

tff(func_def_238,type,
    sK180: c_type > $int ).

tff(func_def_239,type,
    sK181: c_type > $int ).

tff(func_def_240,type,
    sK182: c_type > c_unique ).

tff(func_def_241,type,
    sK183: c_type > $int ).

tff(func_def_242,type,
    sK184: c_type > $int ).

tff(func_def_243,type,
    sK185: c_type > $int ).

tff(func_def_244,type,
    sK186: c_type > $int ).

tff(func_def_245,type,
    sK187: c_type > $int ).

tff(func_def_246,type,
    sK188: ( c_unique * c_type * c_unique ) > c_type ).

tff(func_def_247,type,
    sK189: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_248,type,
    sK190: ( c_unique * c_type * c_unique ) > c_ssorted ).

tff(func_def_249,type,
    sK191: ( $int * c_type * c_unique * c_unique * $int ) > c_type ).

tff(func_def_250,type,
    sK192: ( c_unique * c_unique * c_type * $int * c_unique ) > c_ssorted ).

tff(func_def_251,type,
    sK193: ( c_type * $int * c_type * c_unique ) > c_unique ).

tff(func_def_252,type,
    sK194: ( c_type * $int * c_type * c_unique ) > c_unique ).

tff(func_def_253,type,
    sK195: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_254,type,
    sK196: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_255,type,
    sK197: ( c_type * $int * c_type * c_unique * c_unique * c_unique ) > c_ssorted ).

tff(func_def_256,type,
    sK198: ( c_type * $int * c_unique * $int * c_unique ) > c_type ).

tff(func_def_257,type,
    sK199: ( c_type * $int * c_unique * $int * c_unique ) > c_ssorted ).

tff(func_def_258,type,
    sK200: ( c_type * $int * c_unique * $int * c_unique ) > c_ssorted ).

tff(func_def_259,type,
    sK201: ( c_type * $int * c_unique * $int * c_unique ) > c_type ).

tff(func_def_260,type,
    sK202: ( c_type * $int * c_unique * $int * c_unique ) > c_ssorted ).

tff(func_def_261,type,
    sK203: ( c_type * $int * c_unique * $int * c_unique ) > c_ssorted ).

tff(func_def_262,type,
    sK204: ( c_unique * c_unique * c_type ) > c_type ).

tff(func_def_263,type,
    sK205: ( c_unique * c_unique * c_type ) > c_ssorted ).

tff(func_def_264,type,
    sK206: ( c_unique * c_unique * c_type ) > c_ssorted ).

tff(func_def_265,type,
    sK207: ( c_unique * c_unique * c_type * c_unique * c_type ) > c_ssorted ).

tff(func_def_266,type,
    sK208: ( c_unique * c_type * c_unique * c_unique * c_type ) > c_type ).

tff(func_def_267,type,
    sK209: ( c_unique * c_type * c_unique * c_unique * c_type ) > c_unique ).

tff(func_def_268,type,
    sK210: ( c_type * c_unique * c_type * c_unique ) > c_type ).

tff(func_def_269,type,
    sK211: ( c_type * c_unique * c_type * c_unique ) > c_unique ).

tff(func_def_270,type,
    sK212: ( c_type * c_unique * c_type * c_unique ) > c_unique ).

tff(func_def_271,type,
    sK213: ( c_type * c_unique * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(func_def_272,type,
    sK214: ( c_type * c_unique * c_type * c_unique * c_unique * c_unique ) > c_type ).

tff(pred_def_1,type,
    fresh: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_2,type,
    gt_pointer: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_3,type,
    valid_acc_range: ( c_ssorted * $int ) > $o ).

tff(pred_def_4,type,
    on_stack: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_5,type,
    valid_acc: c_ssorted > $o ).

tff(pred_def_6,type,
    le_pointer: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_7,type,
    not_assigns: ( c_ssorted * c_ssorted * c_ssorted * c_ssorted ) > $o ).

tff(pred_def_8,type,
    valid_range: ( c_ssorted * c_ssorted * $int * $int ) > $o ).

tff(pred_def_9,type,
    valid_index: ( c_ssorted * c_ssorted * $int ) > $o ).

tff(pred_def_10,type,
    not_in_pset: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_11,type,
    ge_pointer: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_12,type,
    free_stack: ( c_ssorted * c_ssorted * c_ssorted ) > $o ).

tff(pred_def_13,type,
    valid: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_14,type,
    separation1: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_15,type,
    alloc_extends: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_16,type,
    separation1_range: ( c_ssorted * $int ) > $o ).

tff(pred_def_17,type,
    lt_pointer: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_18,type,
    on_heap: ( c_ssorted * c_ssorted ) > $o ).

tff(pred_def_19,type,
    separation1_range1: ( c_ssorted * c_ssorted * $int ) > $o ).

tff(pred_def_20,type,
    separation2_range1: ( c_ssorted * c_ssorted * $int ) > $o ).

tff(pred_def_21,type,
    separation2: ( c_ssorted * c_ssorted ) > $o ).

tff(f101,axiom,
    ~ ! [X2: $int,X4: c_unique,X0: $int,X3: $int,X1: c_unique] :
        ( ( ( X0 = 10000 )
          & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800)
          & ( X3 = 2800 )
          & ( X2 = 0 ) )
       => ! [X5: $int,X6: c_unique] :
            ( ( ! [X7: $int] :
                ? [X8: c_type] :
                  ( ( X8 = type_pointer(type_global) )
                  & ( ( $less(X7,X5)
                      & $lesseq(0,X7) )
                   => ( ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7))))) = 2000 ) ) )
              & $lesseq(X5,2800)
              & $lesseq(0,X5) )
           => ( ( $difference(X5,X3) = 0 )
             => ! [X9: $int] :
                  ( ( $lesseq(0,X9)
                    & $lesseq(X9,2800)
                    & ( '%'(X9,14) = 0 ) )
                 => ! [X10: $int] :
                      ( ( X10 = 0 )
                     => ! [X11: $int] :
                          ( ( X11 = $product(X9,2) )
                         => ( ( X11 != 0 )
                           => ! [X12: $int] :
                                ( ( X12 = X9 )
                               => ! [X15: $int,X14: $int,X13: $int,X16: c_unique] :
                                    ( ( $lesseq(X13,X9)
                                      & ( X15 = $product(X13,2) )
                                      & $lesseq(1,X13) )
                                   => ( ( 1 != 0 )
                                     => ! [X17: c_unique] :
                                        ? [X18: c_type] :
                                          ( ( ( X17 = shift(c_sort(X18,X4),X13) )
                                           => ( valid(c_sort(type_alloc_table,X1),c_sort(X18,X17))
                                             => ! [X19: c_unique] :
                                                  ( ( X19 = acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) )
                                                 => ! [X20: $int] :
                                                      ( ( X20 = $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) )
                                                     => ! [X21: c_unique] :
                                                          ( ( X21 = shift(c_sort(X18,X4),X13) )
                                                         => ! [X22: $int] :
                                                              ( ( X22 = $difference(X15,1) )
                                                             => ( ( X22 != 0 )
                                                               => ! [X23: $int] :
                                                                    ( ( X23 = '%'(X20,X22) )
                                                                   => ( valid(c_sort(type_alloc_table,X1),c_sort(X18,X21))
                                                                     => ! [X24: c_unique] :
                                                                          ( ( X24 = upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) )
                                                                         => ! [X25: $int] :
                                                                              ( ( X25 = $difference(X22,1) )
                                                                             => ( ( X22 != 0 )
                                                                               => ! [X26: $int] :
                                                                                    ( ( X26 = whydivide(X20,X22) )
                                                                                   => ! [X27: $int] :
                                                                                        ( ( X27 = X26 )
                                                                                       => ! [X28: $int] :
                                                                                            ( ( X28 = $difference(X13,1) )
                                                                                           => ( ( X28 != 0 )
                                                                                             => ! [X29: $int] :
                                                                                                  ( ( X29 = $product(X27,X28) )
                                                                                                 => $lesseq(1,X28) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                          & ( X18 = type_pointer(type_global) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(f122,plain,
    ~ ! [X2: $int,X4: c_unique,X0: $int,X3: $int,X1: c_unique] :
        ( ( ( X0 = 10000 )
          & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800)
          & ( X3 = 2800 )
          & ( X2 = 0 ) )
       => ! [X5: $int,X6: c_unique] :
            ( ( ! [X7: $int] :
                ? [X8: c_type] :
                  ( ( X8 = type_pointer(type_global) )
                  & ( ( $less(X7,X5)
                      & ~ $less(X7,0) )
                   => ( ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7))))) = 2000 ) ) )
              & ~ $less(2800,X5)
              & ~ $less(X5,0) )
           => ( ( 0 = $sum(X5,$uminus(X3)) )
             => ! [X9: $int] :
                  ( ( ( '%'(X9,14) = 0 )
                    & ~ $less(X9,0)
                    & ~ $less(2800,X9) )
                 => ! [X10: $int] :
                      ( ( X10 = 0 )
                     => ! [X11: $int] :
                          ( ( X11 = $product(X9,2) )
                         => ( ( X11 != 0 )
                           => ! [X12: $int] :
                                ( ( X12 = X9 )
                               => ! [X15: $int,X14: $int,X13: $int,X16: c_unique] :
                                    ( ( ~ $less(X9,X13)
                                      & ( X15 = $product(X13,2) )
                                      & ~ $less(X13,1) )
                                   => ( ( 1 != 0 )
                                     => ! [X17: c_unique] :
                                        ? [X18: c_type] :
                                          ( ( ( X17 = shift(c_sort(X18,X4),X13) )
                                           => ( valid(c_sort(type_alloc_table,X1),c_sort(X18,X17))
                                             => ! [X19: c_unique] :
                                                  ( ( X19 = acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) )
                                                 => ! [X20: $int] :
                                                      ( ( X20 = $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) )
                                                     => ! [X21: c_unique] :
                                                          ( ( X21 = shift(c_sort(X18,X4),X13) )
                                                         => ! [X22: $int] :
                                                              ( ( $sum(X15,$uminus(1)) = X22 )
                                                             => ( ( X22 != 0 )
                                                               => ! [X23: $int] :
                                                                    ( ( X23 = '%'(X20,X22) )
                                                                   => ( valid(c_sort(type_alloc_table,X1),c_sort(X18,X21))
                                                                     => ! [X24: c_unique] :
                                                                          ( ( X24 = upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) )
                                                                         => ! [X25: $int] :
                                                                              ( ( $sum(X22,$uminus(1)) = X25 )
                                                                             => ( ( X22 != 0 )
                                                                               => ! [X26: $int] :
                                                                                    ( ( X26 = whydivide(X20,X22) )
                                                                                   => ! [X27: $int] :
                                                                                        ( ( X27 = X26 )
                                                                                       => ! [X28: $int] :
                                                                                            ( ( $sum(X13,$uminus(1)) = X28 )
                                                                                           => ( ( X28 != 0 )
                                                                                             => ! [X29: $int] :
                                                                                                  ( ( X29 = $product(X27,X28) )
                                                                                                 => ~ $less(X28,1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                          & ( X18 = type_pointer(type_global) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(theory_normalization,[],[f101]) ).

tff(f178,plain,
    ~ ! [X3: $int,X1: c_unique,X0: $int,X2: $int,X4: c_unique] :
        ( ( ( 10000 = X2 )
          & valid_range(c_sort(type_alloc_table,X4),c_sort(type_pointer(type_global),X1),0,2800)
          & ( 0 = X0 )
          & ( X3 = 2800 ) )
       => ! [X6: c_unique,X5: $int] :
            ( ( ~ $less(2800,X5)
              & ! [X7: $int] :
                ? [X8: c_type] :
                  ( ( ( $less(X7,X5)
                      & ~ $less(X7,0) )
                   => ( 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X1),X7))))) ) )
                  & ( X8 = type_pointer(type_global) ) )
              & ~ $less(X5,0) )
           => ( ( 0 = $sum(X5,$uminus(X3)) )
             => ! [X9: $int] :
                  ( ( ( '%'(X9,14) = 0 )
                    & ~ $less(X9,0)
                    & ~ $less(2800,X9) )
                 => ! [X10: $int] :
                      ( ( X10 = 0 )
                     => ! [X11: $int] :
                          ( ( X11 = $product(X9,2) )
                         => ( ( X11 != 0 )
                           => ! [X12: $int] :
                                ( ( X12 = X9 )
                               => ! [X13: $int,X15: $int,X16: c_unique,X14: $int] :
                                    ( ( ~ $less(X9,X15)
                                      & ( $product(X15,2) = X13 )
                                      & ~ $less(X15,1) )
                                   => ( ( 1 != 0 )
                                     => ! [X17: c_unique] :
                                        ? [X18: c_type] :
                                          ( ( ( shift(c_sort(X18,X1),X15) = X17 )
                                           => ( valid(c_sort(type_alloc_table,X4),c_sort(X18,X17))
                                             => ! [X19: c_unique] :
                                                  ( ( X19 = acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) )
                                                 => ! [X20: $int] :
                                                      ( ( $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X2)) = X20 )
                                                     => ! [X21: c_unique] :
                                                          ( ( shift(c_sort(X18,X1),X15) = X21 )
                                                         => ! [X22: $int] :
                                                              ( ( $sum(X13,$uminus(1)) = X22 )
                                                             => ( ( X22 != 0 )
                                                               => ! [X23: $int] :
                                                                    ( ( X23 = '%'(X20,X22) )
                                                                   => ( valid(c_sort(type_alloc_table,X4),c_sort(X18,X21))
                                                                     => ! [X24: c_unique] :
                                                                          ( ( X24 = upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) )
                                                                         => ! [X25: $int] :
                                                                              ( ( $sum(X22,$uminus(1)) = X25 )
                                                                             => ( ( X22 != 0 )
                                                                               => ! [X26: $int] :
                                                                                    ( ( X26 = whydivide(X20,X22) )
                                                                                   => ! [X27: $int] :
                                                                                        ( ( X27 = X26 )
                                                                                       => ! [X28: $int] :
                                                                                            ( ( $sum(X15,$uminus(1)) = X28 )
                                                                                           => ( ( X28 != 0 )
                                                                                             => ! [X29: $int] :
                                                                                                  ( ( X29 = $product(X27,X28) )
                                                                                                 => ~ $less(X28,1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                          & ( X18 = type_pointer(type_global) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f122]) ).

tff(f222,plain,
    ? [X3: $int,X1: c_unique,X0: $int,X2: $int,X4: c_unique] :
      ( ? [X6: c_unique,X5: $int] :
          ( ? [X9: $int] :
              ( ? [X10: $int] :
                  ( ? [X11: $int] :
                      ( ? [X12: $int] :
                          ( ? [X13: $int,X15: $int,X16: c_unique,X14: $int] :
                              ( ? [X17: c_unique] :
                                ! [X18: c_type] :
                                  ( ( ? [X19: c_unique] :
                                        ( ? [X20: $int] :
                                            ( ? [X21: c_unique] :
                                                ( ? [X22: $int] :
                                                    ( ? [X23: $int] :
                                                        ( ? [X24: c_unique] :
                                                            ( ? [X25: $int] :
                                                                ( ? [X26: $int] :
                                                                    ( ? [X27: $int] :
                                                                        ( ? [X28: $int] :
                                                                            ( ? [X29: $int] :
                                                                                ( $less(X28,1)
                                                                                & ( X29 = $product(X27,X28) ) )
                                                                            & ( X28 != 0 )
                                                                            & ( $sum(X15,$uminus(1)) = X28 ) )
                                                                        & ( X27 = X26 ) )
                                                                    & ( X26 = whydivide(X20,X22) ) )
                                                                & ( X22 != 0 )
                                                                & ( $sum(X22,$uminus(1)) = X25 ) )
                                                            & ( X24 = upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) ) )
                                                        & valid(c_sort(type_alloc_table,X4),c_sort(X18,X21))
                                                        & ( X23 = '%'(X20,X22) ) )
                                                    & ( X22 != 0 )
                                                    & ( $sum(X13,$uminus(1)) = X22 ) )
                                                & ( shift(c_sort(X18,X1),X15) = X21 ) )
                                            & ( $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X2)) = X20 ) )
                                        & ( X19 = acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) ) )
                                    & valid(c_sort(type_alloc_table,X4),c_sort(X18,X17))
                                    & ( shift(c_sort(X18,X1),X15) = X17 ) )
                                  | ( type_pointer(type_global) != X18 ) )
                              & ( 1 != 0 )
                              & ~ $less(X9,X15)
                              & ( $product(X15,2) = X13 )
                              & ~ $less(X15,1) )
                          & ( X12 = X9 ) )
                      & ( X11 != 0 )
                      & ( X11 = $product(X9,2) ) )
                  & ( X10 = 0 ) )
              & ( '%'(X9,14) = 0 )
              & ~ $less(X9,0)
              & ~ $less(2800,X9) )
          & ( 0 = $sum(X5,$uminus(X3)) )
          & ~ $less(2800,X5)
          & ! [X7: $int] :
            ? [X8: c_type] :
              ( ( ( 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X1),X7))))) )
                | ~ $less(X7,X5)
                | $less(X7,0) )
              & ( X8 = type_pointer(type_global) ) )
          & ~ $less(X5,0) )
      & ( 10000 = X2 )
      & valid_range(c_sort(type_alloc_table,X4),c_sort(type_pointer(type_global),X1),0,2800)
      & ( 0 = X0 )
      & ( X3 = 2800 ) ),
    inference(ennf_transformation,[],[f178]) ).

tff(f223,plain,
    ? [X2: $int,X1: c_unique,X4: c_unique,X0: $int,X3: $int] :
      ( ? [X6: c_unique,X5: $int] :
          ( ( 0 = $sum(X5,$uminus(X3)) )
          & ! [X7: $int] :
            ? [X8: c_type] :
              ( ( X8 = type_pointer(type_global) )
              & ( $less(X7,0)
                | ~ $less(X7,X5)
                | ( 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X1),X7))))) ) ) )
          & ~ $less(2800,X5)
          & ~ $less(X5,0)
          & ? [X9: $int] :
              ( ? [X10: $int] :
                  ( ( X10 = 0 )
                  & ? [X11: $int] :
                      ( ( X11 != 0 )
                      & ( X11 = $product(X9,2) )
                      & ? [X12: $int] :
                          ( ? [X14: $int,X16: c_unique,X13: $int,X15: $int] :
                              ( ? [X17: c_unique] :
                                ! [X18: c_type] :
                                  ( ( type_pointer(type_global) != X18 )
                                  | ( ( shift(c_sort(X18,X1),X15) = X17 )
                                    & ? [X19: c_unique] :
                                        ( ? [X20: $int] :
                                            ( ( $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X2)) = X20 )
                                            & ? [X21: c_unique] :
                                                ( ? [X22: $int] :
                                                    ( ( X22 != 0 )
                                                    & ( $sum(X13,$uminus(1)) = X22 )
                                                    & ? [X23: $int] :
                                                        ( ? [X24: c_unique] :
                                                            ( ? [X25: $int] :
                                                                ( ? [X26: $int] :
                                                                    ( ? [X27: $int] :
                                                                        ( ? [X28: $int] :
                                                                            ( ( $sum(X15,$uminus(1)) = X28 )
                                                                            & ( X28 != 0 )
                                                                            & ? [X29: $int] :
                                                                                ( $less(X28,1)
                                                                                & ( X29 = $product(X27,X28) ) ) )
                                                                        & ( X27 = X26 ) )
                                                                    & ( X26 = whydivide(X20,X22) ) )
                                                                & ( $sum(X22,$uminus(1)) = X25 )
                                                                & ( X22 != 0 ) )
                                                            & ( X24 = upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) ) )
                                                        & ( X23 = '%'(X20,X22) )
                                                        & valid(c_sort(type_alloc_table,X4),c_sort(X18,X21)) ) )
                                                & ( shift(c_sort(X18,X1),X15) = X21 ) ) )
                                        & ( X19 = acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) ) )
                                    & valid(c_sort(type_alloc_table,X4),c_sort(X18,X17)) ) )
                              & ~ $less(X15,1)
                              & ( $product(X15,2) = X13 )
                              & ~ $less(X9,X15)
                              & ( 1 != 0 ) )
                          & ( X12 = X9 ) ) ) )
              & ( '%'(X9,14) = 0 )
              & ~ $less(2800,X9)
              & ~ $less(X9,0) ) )
      & valid_range(c_sort(type_alloc_table,X4),c_sort(type_pointer(type_global),X1),0,2800)
      & ( X3 = 2800 )
      & ( 10000 = X2 )
      & ( 0 = X0 ) ),
    inference(flattening,[],[f222]) ).

tff(f440,plain,
    ? [X0: $int,X1: c_unique,X2: c_unique,X3: $int,X4: $int] :
      ( ? [X5: c_unique,X6: $int] :
          ( ( 0 = $sum(X6,$uminus(X4)) )
          & ! [X7: $int] :
            ? [X8: c_type] :
              ( ( X8 = type_pointer(type_global) )
              & ( $less(X7,0)
                | ~ $less(X7,X6)
                | ( 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X5),c_sort(X8,shift(c_sort(X8,X1),X7))))) ) ) )
          & ~ $less(2800,X6)
          & ~ $less(X6,0)
          & ? [X9: $int] :
              ( ? [X10: $int] :
                  ( ( X10 = 0 )
                  & ? [X11: $int] :
                      ( ( X11 != 0 )
                      & ( X11 = $product(X9,2) )
                      & ? [X12: $int] :
                          ( ? [X13: $int,X14: c_unique,X15: $int,X16: $int] :
                              ( ? [X17: c_unique] :
                                ! [X18: c_type] :
                                  ( ( type_pointer(type_global) != X18 )
                                  | ( ( shift(c_sort(X18,X1),X16) = X17 )
                                    & ? [X19: c_unique] :
                                        ( ? [X20: $int] :
                                            ( ( $sum(X13,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20 )
                                            & ? [X21: c_unique] :
                                                ( ? [X22: $int] :
                                                    ( ( X22 != 0 )
                                                    & ( $sum(X15,$uminus(1)) = X22 )
                                                    & ? [X23: $int] :
                                                        ( ? [X24: c_unique] :
                                                            ( ? [X25: $int] :
                                                                ( ? [X26: $int] :
                                                                    ( ? [X27: $int] :
                                                                        ( ? [X28: $int] :
                                                                            ( ( $sum(X16,$uminus(1)) = X28 )
                                                                            & ( X28 != 0 )
                                                                            & ? [X29: $int] :
                                                                                ( $less(X28,1)
                                                                                & ( X29 = $product(X27,X28) ) ) )
                                                                        & ( X27 = X26 ) )
                                                                    & ( X26 = whydivide(X20,X22) ) )
                                                                & ( $sum(X22,$uminus(1)) = X25 )
                                                                & ( X22 != 0 ) )
                                                            & ( upd(c_sort(type_memory(c_int,type_global),X14),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24 ) )
                                                        & ( X23 = '%'(X20,X22) )
                                                        & valid(c_sort(type_alloc_table,X2),c_sort(X18,X21)) ) )
                                                & ( shift(c_sort(X18,X1),X16) = X21 ) ) )
                                        & ( acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X18,X17)) = X19 ) )
                                    & valid(c_sort(type_alloc_table,X2),c_sort(X18,X17)) ) )
                              & ~ $less(X16,1)
                              & ( $product(X16,2) = X15 )
                              & ~ $less(X9,X16)
                              & ( 1 != 0 ) )
                          & ( X12 = X9 ) ) ) )
              & ( '%'(X9,14) = 0 )
              & ~ $less(2800,X9)
              & ~ $less(X9,0) ) )
      & valid_range(c_sort(type_alloc_table,X2),c_sort(type_pointer(type_global),X1),0,2800)
      & ( 2800 = X4 )
      & ( 10000 = X0 )
      & ( 0 = X3 ) ),
    inference(rectify,[],[f223]) ).

tff(f441,plain,
    ( ( 0 = $sum(sK166,$uminus(sK164)) )
    & ! [X7: $int] :
        ( ( type_pointer(type_global) = sK167(X7) )
        & ( $less(X7,0)
          | ~ $less(X7,sK166)
          | ( 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),sK165),c_sort(sK167(X7),shift(c_sort(sK167(X7),sK161),X7))))) ) ) )
    & ~ $less(2800,sK166)
    & ~ $less(sK166,0)
    & ( 0 = sK169 )
    & ( 0 != sK170 )
    & ( sK170 = $product(sK168,2) )
    & ! [X18: c_type] :
        ( ( type_pointer(type_global) != X18 )
        | ( ( shift(c_sort(X18,sK161),sK175) = sK176 )
          & ( sK178(X18) = $sum(sK172,$product(ss2Int(c_sort(c_int,sK177(X18))),sK160)) )
          & ( 0 != sK180(X18) )
          & ( $sum(sK174,$uminus(1)) = sK180(X18) )
          & ( $sum(sK175,$uminus(1)) = sK186(X18) )
          & ( 0 != sK186(X18) )
          & $less(sK186(X18),1)
          & ( $product(sK185(X18),sK186(X18)) = sK187(X18) )
          & ( sK185(X18) = sK184(X18) )
          & ( sK184(X18) = whydivide(sK178(X18),sK180(X18)) )
          & ( sK183(X18) = $sum(sK180(X18),$uminus(1)) )
          & ( 0 != sK180(X18) )
          & ( sK182(X18) = upd(c_sort(type_memory(c_int,type_global),sK173),c_sort(X18,sK179(X18)),c_sort(c_int,int2U(sK181(X18)))) )
          & ( sK181(X18) = '%'(sK178(X18),sK180(X18)) )
          & valid(c_sort(type_alloc_table,sK162),c_sort(X18,sK179(X18)))
          & ( shift(c_sort(X18,sK161),sK175) = sK179(X18) )
          & ( acc(c_sort(type_memory(c_int,type_global),sK173),c_sort(X18,sK176)) = sK177(X18) )
          & valid(c_sort(type_alloc_table,sK162),c_sort(X18,sK176)) ) )
    & ~ $less(sK175,1)
    & ( sK174 = $product(sK175,2) )
    & ~ $less(sK168,sK175)
    & ( 1 != 0 )
    & ( sK171 = sK168 )
    & ( 0 = '%'(sK168,14) )
    & ~ $less(2800,sK168)
    & ~ $less(sK168,0)
    & valid_range(c_sort(type_alloc_table,sK162),c_sort(type_pointer(type_global),sK161),0,2800)
    & ( 2800 = sK164 )
    & ( 10000 = sK160 )
    & ( 0 = sK163 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK160,sK161,sK162,sK163,sK164,sK165,sK166,sK167,sK168,sK169,sK170,sK171,sK172,sK173,sK174,sK175,sK176,sK177,sK178,sK179,sK180,sK181,sK182,sK183,sK184,sK185,sK186,sK187]),skolemize(X0,sK160),skolemize(X1,sK161),skolemize(X2,sK162),skolemize(X3,sK163),skolemize(X4,sK164),skolemize(X5,sK165),skolemize(X6,sK166),skolemize(X8,sK167(X7)),skolemize(X9,sK168),skolemize(X10,sK169),skolemize(X11,sK170),skolemize(X12,sK171),skolemize(X13,sK172),skolemize(X14,sK173),skolemize(X15,sK174),skolemize(X16,sK175),skolemize(X17,sK176),skolemize(X19,sK177(X18)),skolemize(X20,sK178(X18)),skolemize(X21,sK179(X18)),skolemize(X22,sK180(X18)),skolemize(X23,sK181(X18)),skolemize(X24,sK182(X18)),skolemize(X25,sK183(X18)),skolemize(X26,sK184(X18)),skolemize(X27,sK185(X18)),skolemize(X28,sK186(X18)),skolemize(X29,sK187(X18))],[f440]) ).

tff(f750,plain,
    ~ $less(sK175,1),
    inference(cnf_transformation,[],[f441]) ).

tff(f762,plain,
    ! [X18: c_type] :
      ( ( type_pointer(type_global) != X18 )
      | $less(sK186(X18),1) ),
    inference(cnf_transformation,[],[f441]) ).

tff(f763,plain,
    ! [X18: c_type] :
      ( ( type_pointer(type_global) != X18 )
      | ( 0 != sK186(X18) ) ),
    inference(cnf_transformation,[],[f441]) ).

tff(f764,plain,
    ! [X18: c_type] :
      ( ( type_pointer(type_global) != X18 )
      | ( $sum(sK175,$uminus(1)) = sK186(X18) ) ),
    inference(cnf_transformation,[],[f441]) ).

tff(f1059,plain,
    sK186(type_pointer(type_global)) = $sum(sK175,$uminus(1)),
    inference(equality_resolution,[],[f764]) ).

tff(f1060,plain,
    0 != sK186(type_pointer(type_global)),
    inference(equality_resolution,[],[f763]) ).

tff(f1061,plain,
    $less(sK186(type_pointer(type_global)),1),
    inference(equality_resolution,[],[f762]) ).

tff(f1091,plain,
    sK186(type_pointer(type_global)) = $sum(sK175,-1),
    inference(evaluation,[],[f1059]) ).

tff(f1199,definition,
    ( spl215_22
  <=> ( sK186(type_pointer(type_global)) = $sum(sK175,-1) ) ),
    introduced(definition,[new_symbols(definition,[spl215_22])],[avatar_definition]) ).

tff(f1202,plain,
    spl215_22,
    inference(avatar_split_clause,[],[f1091,f1199]) ).

tff(f1209,definition,
    ( spl215_24
  <=> $less(sK175,1) ),
    introduced(definition,[new_symbols(definition,[spl215_24])],[avatar_definition]) ).

tff(f1212,plain,
    ~ spl215_24,
    inference(avatar_split_clause,[],[f750,f1209]) ).

tff(f1214,definition,
    ( spl215_25
  <=> $less(sK186(type_pointer(type_global)),1) ),
    introduced(definition,[new_symbols(definition,[spl215_25])],[avatar_definition]) ).

tff(f1217,plain,
    spl215_25,
    inference(avatar_split_clause,[],[f1061,f1214]) ).

tff(f1224,definition,
    ( spl215_27
  <=> ( 0 = sK186(type_pointer(type_global)) ) ),
    introduced(definition,[new_symbols(definition,[spl215_27])],[avatar_definition]) ).

tff(f1227,plain,
    ~ spl215_27,
    inference(avatar_split_clause,[],[f1060,f1224]) ).

tff(f1253,plain,
    $false,
    inference(avatar_smt_refutation,[],[f1227,f1217,f1212,f1202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW819_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n026.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 14:33:42 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.99  % (3893446)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.42/0.99  % (3893537)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1128793377:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 1.42/0.99  % (3893537)First to succeed.
% 1.42/0.99  % (3893537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3893446"
% 1.42/0.99  % (3893538)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3554759790:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 1.42/0.99  % (3893539)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2360784079:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.42/0.99  % (3893536)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2417930839:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 1.42/0.99  % (3893540)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=784259322:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 1.42/0.99  % (3893541)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2855383367:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 1.42/0.99  % (3893540)Instruction limit reached! 
% 1.42/0.99  % (3893540)------------------------------
% 1.42/0.99  % (3893540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893540)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893540)Termination reason: Instruction limit
% 1.42/0.99  % (3893540)Termination phase: Preprocessing 1
% 1.42/0.99  % (3893540)Time elapsed: 0.003 s
% 1.42/0.99  % (3893540)Peak memory usage: 85 MB
% 1.42/0.99  % (3893540)Instructions burned: 6 (million)
% 1.42/0.99  % (3893539)Instruction limit reached! 
% 1.42/0.99  % (3893539)------------------------------
% 1.42/0.99  % (3893539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893539)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893539)Termination reason: Instruction limit
% 1.42/0.99  % (3893539)Termination phase: Preprocessing 2
% 1.42/0.99  % (3893539)Time elapsed: 0.005 s
% 1.42/0.99  % (3893539)Peak memory usage: 86 MB
% 1.42/0.99  % (3893539)Instructions burned: 7 (million)
% 1.42/0.99  % (3893536)Instruction limit reached! 
% 1.42/0.99  % (3893536)------------------------------
% 1.42/0.99  % (3893536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893536)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893536)Termination reason: Instruction limit
% 1.42/0.99  % (3893536)Termination phase: Property scanning
% 1.42/0.99  % (3893536)Time elapsed: 0.007 s
% 1.42/0.99  % (3893536)Peak memory usage: 86 MB
% 1.42/0.99  % (3893536)Instructions burned: 12 (million)
% 1.42/0.99  % (3893542)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2895005366:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 1.42/0.99  % (3893542)Instruction limit reached! 
% 1.42/0.99  % (3893542)------------------------------
% 1.42/0.99  % (3893542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893542)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893542)Termination reason: Instruction limit
% 1.42/0.99  % (3893542)Termination phase: Saturation
% 1.42/0.99  % (3893542)Time elapsed: 0.032 s
% 1.42/0.99  % (3893542)Peak memory usage: 101 MB
% 1.42/0.99  % (3893542)Instructions burned: 33 (million)
% 1.42/0.99  % (3893541)Instruction limit reached! 
% 1.42/0.99  % (3893541)------------------------------
% 1.42/0.99  % (3893541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893541)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893541)Termination reason: Instruction limit
% 1.42/0.99  % (3893541)Termination phase: Saturation
% 1.42/0.99  % (3893541)Time elapsed: 0.047 s
% 1.42/0.99  % (3893541)Peak memory usage: 113 MB
% 1.42/0.99  % (3893541)Instructions burned: 46 (million)
% 1.42/0.99  % (3893549)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1823900728:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.99  % (3893551)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=8015807:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 1.42/0.99  % (3893552)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2203486919:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 1.42/0.99  % (3893549)Refutation not found, incomplete strategy
% 1.42/0.99  % (3893549)------------------------------
% 1.42/0.99  % (3893549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893549)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893549)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.99  % (3893549)Time elapsed: 0.003 s
% 1.42/0.99  % (3893549)Peak memory usage: 88 MB
% 1.42/0.99  % (3893549)Instructions burned: 4 (million)
% 1.42/0.99  % (3893552)Instruction limit reached! 
% 1.42/0.99  % (3893552)------------------------------
% 1.42/0.99  % (3893552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.42/0.99  % (3893552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.99  % (3893552)CaDiCaL version: 2.1.3
% 1.42/0.99  % (3893552)Termination reason: Instruction limit
% 1.42/0.99  % (3893552)Termination phase: Property scanning
% 1.42/0.99  % (3893552)Time elapsed: 0.011 s
% 1.42/0.99  % (3893552)Peak memory usage: 87 MB
% 1.42/0.99  % (3893552)Instructions burned: 17 (million)
% 1.42/0.99  % (3893537)Refutation found. Thanks to Tanya!
% 1.42/0.99  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 2.81/1.19  % (3893537)------------------------------
% 2.81/1.19  % (3893537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.19  % (3893537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.19  % (3893537)CaDiCaL version: 2.1.3
% 2.81/1.19  % (3893537)Termination reason: Refutation
% 2.81/1.19  % (3893537)Time elapsed: 0.035 s
% 2.81/1.19  % (3893537)Peak memory usage: 118 MB
% 2.81/1.19  % (3893537)Instructions burned: 56 (million)
% 2.81/1.19  % (3893537)------------------------------
% 2.81/1.19  % (3893537)------------------------------
% 2.81/1.19  % (3893446)Success in time 0.314 s
% 2.81/1.19  % Vampire exiting
%------------------------------------------------------------------------------