TSTP Solution File: ARI758_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI758_1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:51:29 EDT 2024

% Result   : Unsatisfiable 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  704
% Syntax   : Number of formulae    : 1197 ( 291 unt; 444 typ;   0 def)
%            Number of atoms       : 1601 ( 749 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 1328 ( 480   ~; 340   |; 243   &)
%                                         ( 180 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     : 1500 ( 385 atm; 181 fun; 319 num; 615 var)
%            Number of types       :    8 (   5 usr;   2 ari)
%            Number of type conns  : 1550 ( 417   >;1133   *;   0   +;   0  <<)
%            Number of predicates  :  184 ( 178 usr; 143 prp; 0-7 aty)
%            Number of functors    :  419 ( 403 usr;  34 con; 0-9 aty)
%            Number of variables   : 1064 ( 943   !; 121   ?;1054   :)

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

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

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

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

tff(type_def_9,type,
    c_type: $tType ).

tff(func_def_0,type,
    lsl: ( $int * $int ) > $int ).

tff(func_def_1,type,
    char_P_tag: c_unsorted ).

tff(func_def_2,type,
    pset_union: ( c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_3,type,
    int_of_tag: c_sorted > $int ).

tff(func_def_4,type,
    bool_not: c_Boolean > c_Boolean ).

tff(func_def_5,type,
    int_min: ( $int * $int ) > $int ).

tff(func_def_6,type,
    c_Boolean_true: c_Boolean ).

tff(func_def_7,type,
    bitvector_of_char_P: c_sorted > c_unsorted ).

tff(func_def_8,type,
    base_block: c_sorted > c_unsorted ).

tff(func_def_9,type,
    downcast: ( c_sorted * c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_10,type,
    pset_empty: c_unsorted ).

tff(func_def_11,type,
    pset_range: ( c_sorted * $int * $int ) > c_unsorted ).

tff(func_def_12,type,
    tag_table: c_type > c_type ).

tff(func_def_13,type,
    int32_of_integer: $int > c_unsorted ).

tff(func_def_14,type,
    int_max: ( $int * $int ) > $int ).

tff(func_def_15,type,
    c_unit: c_type ).

tff(func_def_16,type,
    pset_deref: ( c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_17,type,
    tag_id: c_type > c_type ).

tff(func_def_18,type,
    offset_max_bytes: ( c_sorted * c_sorted * $int ) > $int ).

tff(func_def_19,type,
    neq_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_20,type,
    store_bytes: ( c_sorted * c_sorted * $int * $int * c_sorted ) > c_unsorted ).

tff(func_def_21,type,
    s2bool: c_sorted > c_Boolean ).

tff(func_def_22,type,
    subtag_bool: ( c_sorted * c_sorted ) > c_Boolean ).

tff(func_def_23,type,
    abs_real: $real > $real ).

tff(func_def_24,type,
    replace_bytes: ( c_sorted * $int * $int * c_sorted ) > c_unsorted ).

tff(func_def_25,type,
    neq_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_26,type,
    abs_int: $int > $int ).

tff(func_def_27,type,
    c_Boolean_false: c_Boolean ).

tff(func_def_28,type,
    bool_or: ( c_Boolean * c_Boolean ) > c_Boolean ).

tff(func_def_29,type,
    eq_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_30,type,
    lt_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_31,type,
    block: c_type > c_type ).

tff(func_def_32,type,
    int32_of_bitvector: c_sorted > c_unsorted ).

tff(func_def_33,type,
    log: $real > $real ).

tff(func_def_34,type,
    bitvector_of_int32: c_sorted > c_unsorted ).

tff(func_def_35,type,
    pset: c_type > c_type ).

tff(func_def_36,type,
    address: c_sorted > $int ).

tff(func_def_37,type,
    shift: ( c_sorted * $int ) > c_unsorted ).

tff(func_def_38,type,
    exp: $real > $real ).

tff(func_def_39,type,
    gt_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_40,type,
    offset_min_bytes: ( c_sorted * c_sorted * $int ) > $int ).

tff(func_def_41,type,
    null: c_unsorted ).

tff(func_def_42,type,
    eq_pointer_bool: ( c_sorted * c_sorted ) > c_Boolean ).

tff(func_def_43,type,
    unit2u: 'Unit' > c_unsorted ).

tff(func_def_44,type,
    pset_range_left: ( c_sorted * $int ) > c_unsorted ).

tff(func_def_45,type,
    le_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_46,type,
    void_P_of_bitvector: c_sorted > c_unsorted ).

tff(func_def_47,type,
    s2real: c_sorted > $real ).

tff(func_def_48,type,
    concat_bitvector: ( c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_49,type,
    pset_range_right: ( c_sorted * $int ) > c_unsorted ).

tff(func_def_50,type,
    int2u: $int > c_unsorted ).

tff(func_def_51,type,
    int8_of_integer: $int > c_unsorted ).

tff(func_def_52,type,
    s2unit: c_sorted > 'Unit' ).

tff(func_def_53,type,
    s2int: c_sorted > $int ).

tff(func_def_54,type,
    void_P_of_pointer_address: c_sorted > c_unsorted ).

tff(func_def_55,type,
    c_real: c_type ).

tff(func_def_56,type,
    real_max: ( $real * $real ) > $real ).

tff(func_def_57,type,
    lt_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_58,type,
    offset_max: ( c_sorted * c_sorted ) > $int ).

tff(func_def_59,type,
    smtlib__select: ( c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_60,type,
    memory: ( c_type * c_type ) > c_type ).

tff(func_def_61,type,
    real2u: $real > c_unsorted ).

tff(func_def_62,type,
    int8: c_type ).

tff(func_def_63,type,
    int32: c_type ).

tff(func_def_64,type,
    bw_and: ( $int * $int ) > $int ).

tff(func_def_65,type,
    gt_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_66,type,
    c_sort: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_67,type,
    offset_min: ( c_sorted * c_sorted ) > $int ).

tff(func_def_68,type,
    typeof: ( c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_69,type,
    bitvector_of_int8: c_sorted > c_unsorted ).

tff(func_def_70,type,
    void_P_tag: c_unsorted ).

tff(func_def_71,type,
    char_P_of_pointer_address: c_sorted > c_unsorted ).

tff(func_def_72,type,
    le_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_73,type,
    bottom_tag: c_unsorted ).

tff(func_def_74,type,
    bitvector: c_type ).

tff(func_def_75,type,
    integer_of_int8: c_sorted > $int ).

tff(func_def_76,type,
    lsr: ( $int * $int ) > $int ).

tff(func_def_77,type,
    pset_all: c_sorted > c_unsorted ).

tff(func_def_78,type,
    pointer_address: c_sorted > c_unsorted ).

tff(func_def_79,type,
    extract_bytes: ( c_sorted * $int * $int ) > c_unsorted ).

tff(func_def_80,type,
    bool_and: ( c_Boolean * c_Boolean ) > c_Boolean ).

tff(func_def_81,type,
    smtlib__ite: ( c_Boolean * c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_82,type,
    bool_xor: ( c_Boolean * c_Boolean ) > c_Boolean ).

tff(func_def_83,type,
    ge_real_bool: ( $real * $real ) > c_Boolean ).

tff(func_def_84,type,
    eq_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_85,type,
    c_bool: c_type ).

tff(func_def_86,type,
    pset_singleton: c_sorted > c_unsorted ).

tff(func_def_87,type,
    bitvector_of_void_P: c_sorted > c_unsorted ).

tff(func_def_88,type,
    pointer: c_type > c_type ).

tff(func_def_89,type,
    select_bytes: ( c_sorted * c_sorted * $int * $int ) > c_unsorted ).

tff(func_def_90,type,
    bool2u: c_Boolean > c_unsorted ).

tff(func_def_91,type,
    void_P: c_type ).

tff(func_def_92,type,
    integer_of_int32: c_sorted > $int ).

tff(func_def_93,type,
    char_P_of_bitvector: c_sorted > c_unsorted ).

tff(func_def_94,type,
    asr: ( $int * $int ) > $int ).

tff(func_def_95,type,
    c_int: c_type ).

tff(func_def_96,type,
    neq_pointer_bool: ( c_sorted * c_sorted ) > c_Boolean ).

tff(func_def_97,type,
    int8_of_bitvector: c_sorted > c_unsorted ).

tff(func_def_98,type,
    alloc_table: c_type > c_type ).

tff(func_def_99,type,
    sub_pointer: ( c_sorted * c_sorted ) > $int ).

tff(func_def_100,type,
    char_P: c_type ).

tff(func_def_101,type,
    real_min: ( $real * $real ) > $real ).

tff(func_def_102,type,
    ge_int_bool: ( $int * $int ) > c_Boolean ).

tff(func_def_103,type,
    smtlib__store: ( c_sorted * c_sorted * c_sorted ) > c_unsorted ).

tff(func_def_119,type,
    sK4: c_unsorted ).

tff(func_def_120,type,
    sK5: c_unsorted ).

tff(func_def_121,type,
    sK6: c_unsorted ).

tff(func_def_122,type,
    sK7: c_unsorted ).

tff(func_def_123,type,
    sK8: c_unsorted > c_type ).

tff(func_def_124,type,
    sK9: c_unsorted > c_sorted ).

tff(func_def_125,type,
    sK10: c_unsorted > c_type ).

tff(func_def_126,type,
    sK11: c_unsorted > c_sorted ).

tff(func_def_127,type,
    sK12: c_unsorted > c_type ).

tff(func_def_128,type,
    sK13: c_unsorted > c_sorted ).

tff(func_def_129,type,
    sK14: c_unsorted > c_type ).

tff(func_def_130,type,
    sK15: c_unsorted > c_sorted ).

tff(func_def_131,type,
    sK16: c_unsorted > c_type ).

tff(func_def_132,type,
    sK17: c_unsorted > c_sorted ).

tff(func_def_133,type,
    sK18: c_unsorted > c_type ).

tff(func_def_134,type,
    sK19: c_unsorted > c_sorted ).

tff(func_def_135,type,
    sK20: c_unsorted > c_sorted ).

tff(func_def_136,type,
    sK21: c_unsorted > c_sorted ).

tff(func_def_137,type,
    sK22: c_unsorted > c_sorted ).

tff(func_def_138,type,
    sK23: c_unsorted > c_sorted ).

tff(func_def_139,type,
    sK24: c_unsorted > c_sorted ).

tff(func_def_140,type,
    sK25: c_unsorted > c_sorted ).

tff(func_def_141,type,
    sK26: c_unsorted > $int ).

tff(func_def_142,type,
    sK27: c_unsorted > $int ).

tff(func_def_143,type,
    sK28: ( c_type * c_unsorted ) > c_type ).

tff(func_def_144,type,
    sK29: ( c_type * c_unsorted ) > c_type ).

tff(func_def_145,type,
    sK30: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_146,type,
    sK31: ( c_type * c_unsorted ) > c_type ).

tff(func_def_147,type,
    sK32: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_148,type,
    sK33: ( $real * $real ) > $real ).

tff(func_def_149,type,
    sK34: ( $real * $real ) > $real ).

tff(func_def_150,type,
    sK35: ( $int * $int ) > $int ).

tff(func_def_151,type,
    sK36: ( $int * $int ) > $int ).

tff(func_def_152,type,
    sK37: ( $real * $real ) > $real ).

tff(func_def_153,type,
    sK38: ( $int * $int ) > $int ).

tff(func_def_154,type,
    sK39: ( $int * $int ) > $int ).

tff(func_def_155,type,
    sK40: ( $real * $real ) > $real ).

tff(func_def_156,type,
    sK41: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_157,type,
    sK42: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_158,type,
    sK43: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_159,type,
    sK44: ( c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_160,type,
    sK45: ( c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_161,type,
    sK46: ( c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_162,type,
    sK47: ( c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_163,type,
    sK48: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_164,type,
    sK49: ( c_type * c_unsorted ) > c_sorted ).

tff(func_def_165,type,
    sK50: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_166,type,
    sK51: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_167,type,
    sK52: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_168,type,
    sK53: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_169,type,
    sK54: ( c_type * c_unsorted * c_unsorted ) > c_unsorted ).

tff(func_def_170,type,
    sK55: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_171,type,
    sK56: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_172,type,
    sK57: ( c_type * c_unsorted * c_unsorted ) > c_unsorted ).

tff(func_def_173,type,
    sK58: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_174,type,
    sK59: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_175,type,
    sK60: ( c_type * c_unsorted * c_unsorted ) > $int ).

tff(func_def_176,type,
    sK61: ( c_type * c_unsorted * c_unsorted ) > c_unsorted ).

tff(func_def_177,type,
    sK62: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_178,type,
    sK63: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_179,type,
    sK64: c_type > c_type ).

tff(func_def_180,type,
    sK65: c_type > c_type ).

tff(func_def_181,type,
    sK66: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_182,type,
    sK67: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_183,type,
    sK68: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_184,type,
    sK69: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_185,type,
    sK70: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_186,type,
    sK71: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_187,type,
    sK72: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_188,type,
    sK73: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_189,type,
    sK74: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_190,type,
    sK75: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_191,type,
    sK76: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_192,type,
    sK77: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_193,type,
    sK78: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_194,type,
    sK79: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_195,type,
    sK80: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_196,type,
    sK81: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_197,type,
    sK82: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_198,type,
    sK83: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_199,type,
    sK84: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_200,type,
    sK85: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_201,type,
    sK86: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_202,type,
    sK87: ( c_type * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_203,type,
    sK88: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_204,type,
    sK89: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_205,type,
    sK90: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_206,type,
    sK91: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_207,type,
    sK92: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_208,type,
    sK93: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_209,type,
    sK94: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_210,type,
    sK95: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_211,type,
    sK96: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_212,type,
    sK97: ( c_unsorted * $int * c_unsorted ) > c_sorted ).

tff(func_def_213,type,
    sK98: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_214,type,
    sK99: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_215,type,
    sK100: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_216,type,
    sK101: ( c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_217,type,
    sK102: ( c_unsorted * c_unsorted * c_type * $int ) > $int ).

tff(func_def_218,type,
    sK103: ( c_unsorted * c_unsorted * c_type * $int * $int ) > c_type ).

tff(func_def_219,type,
    sK104: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_220,type,
    sK105: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_221,type,
    sK106: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_222,type,
    sK107: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_223,type,
    sK108: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_224,type,
    sK109: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_225,type,
    sK110: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_226,type,
    sK111: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_227,type,
    sK112: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_228,type,
    sK113: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_229,type,
    sK114: ( c_type * c_unsorted * c_unsorted * $int ) > c_unsorted ).

tff(func_def_230,type,
    sK115: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_231,type,
    sK116: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_232,type,
    sK117: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_233,type,
    sK118: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_234,type,
    sK119: ( c_type * c_unsorted * c_unsorted * $int ) > c_unsorted ).

tff(func_def_235,type,
    sK120: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_236,type,
    sK121: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_237,type,
    sK122: c_type > c_type ).

tff(func_def_238,type,
    sK123: c_type > c_type ).

tff(func_def_239,type,
    sK124: ( c_type * c_unsorted * $int * $int ) > c_type ).

tff(func_def_240,type,
    sK125: ( c_type * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_241,type,
    sK126: ( c_type * c_unsorted * $int * $int ) > c_type ).

tff(func_def_242,type,
    sK127: ( c_type * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_243,type,
    sK128: ( c_type * c_unsorted * $int * $int ) > c_type ).

tff(func_def_244,type,
    sK129: ( c_type * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_245,type,
    sK130: ( c_type * c_unsorted * $int * $int ) > c_type ).

tff(func_def_246,type,
    sK131: ( c_type * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_247,type,
    sK132: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_248,type,
    sK133: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_249,type,
    sK134: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_250,type,
    sK135: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_251,type,
    sK136: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_252,type,
    sK137: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_253,type,
    sK138: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_254,type,
    sK139: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_255,type,
    sK140: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_256,type,
    sK141: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_257,type,
    sK142: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_258,type,
    sK143: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_259,type,
    sK144: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_260,type,
    sK145: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_261,type,
    sK146: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_262,type,
    sK147: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_263,type,
    sK148: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_264,type,
    sK149: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_265,type,
    sK150: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_266,type,
    sK151: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_267,type,
    sK152: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_268,type,
    sK153: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_269,type,
    sK154: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_270,type,
    sK155: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_271,type,
    sK156: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_272,type,
    sK157: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_273,type,
    sK158: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_274,type,
    sK159: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_275,type,
    sK160: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_276,type,
    sK161: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_277,type,
    sK162: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_278,type,
    sK163: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_279,type,
    sK164: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_280,type,
    sK165: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_281,type,
    sK166: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_282,type,
    sK167: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_283,type,
    sK168: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_284,type,
    sK169: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_285,type,
    sK170: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_286,type,
    sK171: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_287,type,
    sK172: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_288,type,
    sK173: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_289,type,
    sK174: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_290,type,
    sK175: ( c_unsorted * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_291,type,
    sK176: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_292,type,
    sK177: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_293,type,
    sK178: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_294,type,
    sK179: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_295,type,
    sK180: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_296,type,
    sK181: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_297,type,
    sK182: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_298,type,
    sK183: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_299,type,
    sK184: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_300,type,
    sK185: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_301,type,
    sK186: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_302,type,
    sK187: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_303,type,
    sK188: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_304,type,
    sK189: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_305,type,
    sK190: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_306,type,
    sK191: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_307,type,
    sK192: ( c_type * c_unsorted * c_unsorted * $int ) > c_type ).

tff(func_def_308,type,
    sK193: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_309,type,
    sK194: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_310,type,
    sK195: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_311,type,
    sK196: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_312,type,
    sK197: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_313,type,
    sK198: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_314,type,
    sK199: ( c_type * c_unsorted * c_unsorted * $int ) > c_sorted ).

tff(func_def_315,type,
    sK200: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_316,type,
    sK201: ( c_type * c_unsorted * c_unsorted * $int ) > $int ).

tff(func_def_317,type,
    sK202: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_318,type,
    sK203: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_319,type,
    sK204: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_320,type,
    sK205: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_321,type,
    sK206: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_322,type,
    sK207: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_323,type,
    sK208: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_324,type,
    sK209: ( c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_325,type,
    sK210: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted ) > c_unsorted ).

tff(func_def_326,type,
    sK211: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted ) > c_unsorted ).

tff(func_def_327,type,
    sK212: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_328,type,
    sK213: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_329,type,
    sK214: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_330,type,
    sK215: ( c_unsorted * c_type * $int * $int * c_unsorted * c_type ) > $int ).

tff(func_def_331,type,
    sK216: ( c_unsorted * c_type * $int * $int * c_unsorted * c_type ) > c_unsorted ).

tff(func_def_332,type,
    sK217: ( c_unsorted * c_type * $int * $int * c_unsorted * c_type * $int * c_unsorted ) > c_type ).

tff(func_def_333,type,
    sK218: ( c_unsorted * c_type * $int * $int * c_unsorted * c_type * $int * c_unsorted ) > c_sorted ).

tff(func_def_334,type,
    sK219: ( c_type * c_unsorted * c_unsorted * $int * $int ) > c_type ).

tff(func_def_335,type,
    sK220: ( c_type * c_unsorted * c_unsorted * $int * $int ) > c_type ).

tff(func_def_336,type,
    sK221: ( c_type * c_unsorted * c_unsorted * $int * $int ) > $int ).

tff(func_def_337,type,
    sK222: ( c_type * c_unsorted * c_unsorted * $int * $int ) > c_unsorted ).

tff(func_def_338,type,
    sK223: ( c_type * c_unsorted * c_unsorted * $int * $int ) > c_type ).

tff(func_def_339,type,
    sK224: ( c_type * c_unsorted * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_340,type,
    sK225: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_341,type,
    sK226: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_unsorted ).

tff(func_def_342,type,
    sK227: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_343,type,
    sK228: ( $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_344,type,
    sK229: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_345,type,
    sK230: ( c_type * c_unsorted * $int * $int ) > c_type ).

tff(func_def_346,type,
    sK231: ( c_type * c_unsorted * $int * $int ) > c_sorted ).

tff(func_def_347,type,
    sK232: ( c_type * c_unsorted * $int * $int * $int * $int ) > c_type ).

tff(func_def_348,type,
    sK233: ( c_type * c_unsorted * $int * $int * $int * $int ) > c_sorted ).

tff(func_def_349,type,
    sK234: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_350,type,
    sK235: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_351,type,
    sK236: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_352,type,
    sK237: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_353,type,
    sK238: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_354,type,
    sK239: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_355,type,
    sK240: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_356,type,
    sK241: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_357,type,
    sK242: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_358,type,
    sK243: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_359,type,
    sK244: ( $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_360,type,
    sK245: ( $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_361,type,
    sK246: ( c_unsorted * c_type * c_type * c_unsorted * c_unsorted * c_type * c_unsorted ) > c_unsorted ).

tff(func_def_362,type,
    sK247: ( c_unsorted * c_type * c_type * c_unsorted * c_unsorted * c_type * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_363,type,
    sK248: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_364,type,
    sK249: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_365,type,
    sK250: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_366,type,
    sK251: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_367,type,
    sK252: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_368,type,
    sK253: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_369,type,
    sK254: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_370,type,
    sK255: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_371,type,
    sK256: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_372,type,
    sK257: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_373,type,
    sK258: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_374,type,
    sK259: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_375,type,
    sK260: ( c_type * c_unsorted * c_unsorted * $int * $int * $int ) > c_sorted ).

tff(func_def_376,type,
    sK261: ( c_type * c_unsorted * c_unsorted * $int * $int * $int ) > c_type ).

tff(func_def_377,type,
    sK262: ( c_type * c_unsorted * c_unsorted * $int * $int * $int ) > c_sorted ).

tff(func_def_378,type,
    sK263: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int ) > c_sorted ).

tff(func_def_379,type,
    sK264: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int ) > c_sorted ).

tff(func_def_380,type,
    sK265: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_381,type,
    sK266: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_382,type,
    sK267: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_383,type,
    sK268: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_384,type,
    sK269: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_385,type,
    sK270: ( $int * $int * $int * $int * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_386,type,
    sK271: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_387,type,
    sK272: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_388,type,
    sK273: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_389,type,
    sK274: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_390,type,
    sK275: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_391,type,
    sK276: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_392,type,
    sK277: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_393,type,
    sK278: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_394,type,
    sK279: ( c_type * c_type * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_395,type,
    sK280: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_396,type,
    sK281: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_397,type,
    sK282: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_398,type,
    sK283: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_399,type,
    sK284: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_400,type,
    sK285: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_401,type,
    sK286: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_402,type,
    sK287: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_403,type,
    sK288: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_404,type,
    sK289: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_405,type,
    sK290: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_type ).

tff(func_def_406,type,
    sK291: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_407,type,
    sK292: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_408,type,
    sK293: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_409,type,
    sK294: ( c_type * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted * c_unsorted ) > c_sorted ).

tff(func_def_410,type,
    sK295: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_411,type,
    sK296: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_412,type,
    sK297: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_413,type,
    sK298: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_414,type,
    sK299: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_type ).

tff(func_def_415,type,
    sK300: ( c_type * c_unsorted * c_unsorted * c_unsorted * $int * $int * $int * $int * c_unsorted ) > c_sorted ).

tff(func_def_416,type,
    sK301: c_type ).

tff(func_def_417,type,
    sK302: c_type ).

tff(pred_def_1,type,
    left_valid_struct_void_P: ( c_sorted * $int * c_sorted ) > $o ).

tff(pred_def_2,type,
    strict_valid_root_void_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_3,type,
    root_tag: c_sorted > $o ).

tff(pred_def_4,type,
    alloc_extends: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_5,type,
    valid_root_void_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_6,type,
    valid_struct_char_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_7,type,
    eq_int8: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_8,type,
    same_block: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_9,type,
    pset_included: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_10,type,
    strict_valid_root_char_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_11,type,
    in_pset: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_12,type,
    instanceof: ( c_sorted * c_sorted * c_sorted ) > $o ).

tff(pred_def_13,type,
    alloc_extends_except: ( c_sorted * c_sorted * c_sorted ) > $o ).

tff(pred_def_14,type,
    not_assigns: ( c_sorted * c_sorted * c_sorted * c_sorted ) > $o ).

tff(pred_def_15,type,
    valid_bitvector_struct_char_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_16,type,
    parenttag: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_17,type,
    valid_pset: ( c_sorted * c_sorted ) > $o ).

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

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

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

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

tff(pred_def_22,type,
    valid: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_23,type,
    full_separated: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_24,type,
    strict_valid_struct_void_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_25,type,
    valid_root_char_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_26,type,
    fully_packed: ( c_sorted * c_sorted * c_sorted ) > $o ).

tff(pred_def_27,type,
    alloc_fresh: ( c_sorted * c_sorted * $int ) > $o ).

tff(pred_def_28,type,
    eq_int32: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_29,type,
    subtag: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_30,type,
    valid_struct_void_P: ( c_sorted * $int * $int * c_sorted ) > $o ).

tff(pred_def_31,type,
    pset_disjoint: ( c_sorted * c_sorted ) > $o ).

tff(pred_def_32,type,
    left_valid_struct_char_P: ( c_sorted * $int * c_sorted ) > $o ).

tff(pred_def_41,type,
    sP0: ( c_unsorted * c_unsorted * c_type * $int ) > $o ).

tff(pred_def_42,type,
    sP1: ( c_unsorted * c_type * c_unsorted * c_type * c_unsorted ) > $o ).

tff(pred_def_43,type,
    sP2: ( c_unsorted * c_type * $int * $int * c_unsorted * c_type ) > $o ).

tff(pred_def_44,type,
    sP3: ( c_unsorted * c_type * c_type * c_unsorted * c_unsorted * c_type * c_unsorted ) > $o ).

tff(f2924,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2029,f2033,f2038,f2043,f2048,f2053,f2057,f2061,f2065,f2069,f2073,f2077,f2081,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2137,f2141,f2145,f2150,f2154,f2158,f2162,f2166,f2170,f2174,f2179,f2184,f2188,f2192,f2196,f2200,f2218,f2222,f2226,f2230,f2235,f2241,f2246,f2252,f2256,f2261,f2265,f2269,f2273,f2277,f2281,f2285,f2289,f2293,f2297,f2301,f2305,f2309,f2313,f2317,f2322,f2327,f2331,f2335,f2339,f2343,f2349,f2354,f2379,f2388,f2392,f2396,f2401,f2405,f2409,f2413,f2417,f2421,f2425,f2429,f2433,f2437,f2441,f2445,f2449,f2453,f2457,f2461,f2465,f2469,f2473,f2477,f2481,f2486,f2490,f2494,f2498,f2502,f2506,f2533,f2626,f2630,f2634,f2638,f2642,f2646,f2651,f2658,f2662,f2666,f2730,f2734,f2746,f2750,f2754,f2758,f2762,f2766,f2770,f2774,f2778,f2851,f2863,f2867,f2871,f2875,f2879,f2883,f2887,f2891,f2895,f2899,f2903,f2907,f2912,f2918,f2923]) ).

tff(f2923,plain,
    ( ~ spl303_37
    | ~ spl303_38
    | ~ spl303_52
    | ~ spl303_74
    | spl303_142 ),
    inference(avatar_split_clause,[],[f2922,f2915,f2351,f2258,f2181,f2176]) ).

tff(f2176,plain,
    ( spl303_37
  <=> ( 1 = integer_of_int32(c_sort(int32,sK4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_37])]) ).

tff(f2181,plain,
    ( spl303_38
  <=> ( 2 = integer_of_int32(c_sort(int32,sK6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_38])]) ).

tff(f2258,plain,
    ( spl303_52
  <=> ( c_sort(int32,sK4) = c_sort(int32,sK5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_52])]) ).

tff(f2351,plain,
    ( spl303_74
  <=> ( c_sort(int32,sK6) = c_sort(int32,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_74])]) ).

tff(f2915,plain,
    ( spl303_142
  <=> ( integer_of_int32(c_sort(int32,sK5)) = $sum(integer_of_int32(c_sort(int32,sK7)),-1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_142])]) ).

tff(f2922,plain,
    ( ( 1 != integer_of_int32(c_sort(int32,sK4)) )
    | ~ spl303_38
    | ~ spl303_52
    | ~ spl303_74
    | spl303_142 ),
    inference(forward_demodulation,[],[f2921,f2260]) ).

tff(f2260,plain,
    ( ( c_sort(int32,sK4) = c_sort(int32,sK5) )
    | ~ spl303_52 ),
    inference(avatar_component_clause,[],[f2258]) ).

tff(f2921,plain,
    ( ( 1 != integer_of_int32(c_sort(int32,sK5)) )
    | ~ spl303_38
    | ~ spl303_74
    | spl303_142 ),
    inference(evaluation,[],[f2920]) ).

tff(f2920,plain,
    ( ( integer_of_int32(c_sort(int32,sK5)) != $sum(2,-1) )
    | ~ spl303_38
    | ~ spl303_74
    | spl303_142 ),
    inference(forward_demodulation,[],[f2919,f2183]) ).

tff(f2183,plain,
    ( ( 2 = integer_of_int32(c_sort(int32,sK6)) )
    | ~ spl303_38 ),
    inference(avatar_component_clause,[],[f2181]) ).

tff(f2919,plain,
    ( ( integer_of_int32(c_sort(int32,sK5)) != $sum(integer_of_int32(c_sort(int32,sK6)),-1) )
    | ~ spl303_74
    | spl303_142 ),
    inference(forward_demodulation,[],[f2917,f2353]) ).

tff(f2353,plain,
    ( ( c_sort(int32,sK6) = c_sort(int32,sK7) )
    | ~ spl303_74 ),
    inference(avatar_component_clause,[],[f2351]) ).

tff(f2917,plain,
    ( ( integer_of_int32(c_sort(int32,sK5)) != $sum(integer_of_int32(c_sort(int32,sK7)),-1) )
    | spl303_142 ),
    inference(avatar_component_clause,[],[f2915]) ).

tff(f2918,plain,
    ~ spl303_142,
    inference(avatar_split_clause,[],[f1899,f2915]) ).

tff(f1899,plain,
    integer_of_int32(c_sort(int32,sK5)) != $sum(integer_of_int32(c_sort(int32,sK7)),-1),
    inference(evaluation,[],[f1822]) ).

tff(f1822,plain,
    integer_of_int32(c_sort(int32,sK5)) != $sum(integer_of_int32(c_sort(int32,sK7)),$uminus(1)),
    inference(equality_resolution,[],[f953]) ).

tff(f953,plain,
    ! [X4: c_sorted] :
      ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
      | ( c_sort(int32,sK7) != X4 ) ),
    inference(cnf_transformation,[],[f509]) ).

tff(f509,plain,
    ( ! [X4: c_sorted] :
        ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
          & ( c_sort(int32,sK6) = X4 ) )
        | ( c_sort(int32,sK7) != X4 ) )
    & ( 2 = integer_of_int32(c_sort(int32,sK6)) )
    & ( c_sort(int32,sK4) = c_sort(int32,sK5) )
    & ( 1 = integer_of_int32(c_sort(int32,sK4)) )
    & ( c_Boolean_true = c_Boolean_true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f424,f508,f507,f506,f505]) ).

tff(f505,plain,
    ( ? [X0: c_unsorted] :
        ( ? [X1: c_unsorted] :
            ( ? [X2: c_unsorted] :
                ( ? [X3: c_unsorted] :
                  ! [X4: c_sorted] :
                    ( ( ( integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) )
                      & ( c_sort(int32,X2) = X4 ) )
                    | ( c_sort(int32,X3) != X4 ) )
                & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
            & ( c_sort(int32,X0) = c_sort(int32,X1) ) )
        & ( 1 = integer_of_int32(c_sort(int32,X0)) ) )
   => ( ? [X1: c_unsorted] :
          ( ? [X2: c_unsorted] :
              ( ? [X3: c_unsorted] :
                ! [X4: c_sorted] :
                  ( ( ( integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) )
                    & ( c_sort(int32,X2) = X4 ) )
                  | ( c_sort(int32,X3) != X4 ) )
              & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
          & ( c_sort(int32,X1) = c_sort(int32,sK4) ) )
      & ( 1 = integer_of_int32(c_sort(int32,sK4)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f506,plain,
    ( ? [X1: c_unsorted] :
        ( ? [X2: c_unsorted] :
            ( ? [X3: c_unsorted] :
              ! [X4: c_sorted] :
                ( ( ( integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) )
                  & ( c_sort(int32,X2) = X4 ) )
                | ( c_sort(int32,X3) != X4 ) )
            & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
        & ( c_sort(int32,X1) = c_sort(int32,sK4) ) )
   => ( ? [X2: c_unsorted] :
          ( ? [X3: c_unsorted] :
            ! [X4: c_sorted] :
              ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
                & ( c_sort(int32,X2) = X4 ) )
              | ( c_sort(int32,X3) != X4 ) )
          & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
      & ( c_sort(int32,sK4) = c_sort(int32,sK5) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f507,plain,
    ( ? [X2: c_unsorted] :
        ( ? [X3: c_unsorted] :
          ! [X4: c_sorted] :
            ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
              & ( c_sort(int32,X2) = X4 ) )
            | ( c_sort(int32,X3) != X4 ) )
        & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
   => ( ? [X3: c_unsorted] :
        ! [X4: c_sorted] :
          ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
            & ( c_sort(int32,sK6) = X4 ) )
          | ( c_sort(int32,X3) != X4 ) )
      & ( 2 = integer_of_int32(c_sort(int32,sK6)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f508,plain,
    ( ? [X3: c_unsorted] :
      ! [X4: c_sorted] :
        ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
          & ( c_sort(int32,sK6) = X4 ) )
        | ( c_sort(int32,X3) != X4 ) )
   => ! [X4: c_sorted] :
        ( ( ( $sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK5)) )
          & ( c_sort(int32,sK6) = X4 ) )
        | ( c_sort(int32,sK7) != X4 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f424,plain,
    ( ? [X0: c_unsorted] :
        ( ? [X1: c_unsorted] :
            ( ? [X2: c_unsorted] :
                ( ? [X3: c_unsorted] :
                  ! [X4: c_sorted] :
                    ( ( ( integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) )
                      & ( c_sort(int32,X2) = X4 ) )
                    | ( c_sort(int32,X3) != X4 ) )
                & ( 2 = integer_of_int32(c_sort(int32,X2)) ) )
            & ( c_sort(int32,X0) = c_sort(int32,X1) ) )
        & ( 1 = integer_of_int32(c_sort(int32,X0)) ) )
    & ( c_Boolean_true = c_Boolean_true ) ),
    inference(ennf_transformation,[],[f253]) ).

tff(f253,plain,
    ~ ( ( c_Boolean_true = c_Boolean_true )
     => ! [X0: c_unsorted] :
          ( ( 1 = integer_of_int32(c_sort(int32,X0)) )
         => ! [X1: c_unsorted] :
              ( ( c_sort(int32,X0) = c_sort(int32,X1) )
             => ! [X2: c_unsorted] :
                  ( ( 2 = integer_of_int32(c_sort(int32,X2)) )
                 => ! [X3: c_unsorted] :
                    ? [X4: c_sorted] :
                      ( ( ( c_sort(int32,X2) = X4 )
                       => ( integer_of_int32(c_sort(int32,X1)) = $sum(integer_of_int32(X4),$uminus(1)) ) )
                      & ( c_sort(int32,X3) = X4 ) ) ) ) ) ),
    inference(rectify,[],[f171]) ).

tff(f171,plain,
    ~ ( ( c_Boolean_true = c_Boolean_true )
     => ! [X812: c_unsorted] :
          ( ( 1 = integer_of_int32(c_sort(int32,X812)) )
         => ! [X813: c_unsorted] :
              ( ( c_sort(int32,X812) = c_sort(int32,X813) )
             => ! [X814: c_unsorted] :
                  ( ( 2 = integer_of_int32(c_sort(int32,X814)) )
                 => ! [X815: c_unsorted] :
                    ? [X816: c_sorted] :
                      ( ( ( c_sort(int32,X814) = X816 )
                       => ( integer_of_int32(c_sort(int32,X813)) = $sum(integer_of_int32(X816),$uminus(1)) ) )
                      & ( c_sort(int32,X815) = X816 ) ) ) ) ) ),
    inference(theory_normalization,[],[f170]) ).

tff(f170,axiom,
    ~ ( ( c_Boolean_true = c_Boolean_true )
     => ! [X812: c_unsorted] :
          ( ( 1 = integer_of_int32(c_sort(int32,X812)) )
         => ! [X813: c_unsorted] :
              ( ( c_sort(int32,X812) = c_sort(int32,X813) )
             => ! [X814: c_unsorted] :
                  ( ( 2 = integer_of_int32(c_sort(int32,X814)) )
                 => ! [X815: c_unsorted] :
                    ? [X816: c_sorted] :
                      ( ( ( c_sort(int32,X814) = X816 )
                       => ( integer_of_int32(c_sort(int32,X813)) = $difference(integer_of_int32(X816),1) ) )
                      & ( c_sort(int32,X815) = X816 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_170) ).

tff(f2912,plain,
    spl303_141,
    inference(avatar_split_clause,[],[f1896,f2910]) ).

tff(f2910,plain,
    ( spl303_141
  <=> ! [X0: c_type,X1: c_unsorted] : ~ $less(-2,offset_max(c_sort(sK64(X0),X1),c_sort(pointer(X0),null))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_141])]) ).

tff(f1896,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less(-2,offset_max(c_sort(sK64(X0),X1),c_sort(pointer(X0),null))),
    inference(evaluation,[],[f1653]) ).

tff(f1653,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less($uminus(2),offset_max(c_sort(sK64(X0),X1),c_sort(pointer(X0),null))),
    inference(definition_unfolding,[],[f1107,f1516,f1105]) ).

tff(f1105,plain,
    ! [X0: c_type,X1: c_unsorted] : ( c_sort(pointer(X0),null) = sK49(X0,X1) ),
    inference(cnf_transformation,[],[f605]) ).

tff(f605,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ~ $less($uminus(2),offset_max(sK48(X0,X1),sK49(X0,X1)))
      & ~ $less(offset_min(sK48(X0,X1),sK49(X0,X1)),0)
      & ( c_sort(pointer(X0),null) = sK49(X0,X1) )
      & ( c_sort(alloc_table(X0),X1) = sK48(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f332,f604]) ).

tff(f604,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ? [X2: c_sorted,X3: c_sorted] :
          ( ~ $less($uminus(2),offset_max(X2,X3))
          & ~ $less(offset_min(X2,X3),0)
          & ( c_sort(pointer(X0),null) = X3 )
          & ( c_sort(alloc_table(X0),X1) = X2 ) )
     => ( ~ $less($uminus(2),offset_max(sK48(X0,X1),sK49(X0,X1)))
        & ~ $less(offset_min(sK48(X0,X1),sK49(X0,X1)),0)
        & ( c_sort(pointer(X0),null) = sK49(X0,X1) )
        & ( c_sort(alloc_table(X0),X1) = sK48(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f332,plain,
    ! [X0: c_type,X1: c_unsorted] :
    ? [X2: c_sorted,X3: c_sorted] :
      ( ~ $less($uminus(2),offset_max(X2,X3))
      & ~ $less(offset_min(X2,X3),0)
      & ( c_sort(pointer(X0),null) = X3 )
      & ( c_sort(alloc_table(X0),X1) = X2 ) ),
    inference(rectify,[],[f200]) ).

tff(f200,plain,
    ! [X144: c_type,X145: c_unsorted] :
    ? [X146: c_sorted,X147: c_sorted] :
      ( ~ $less($uminus(2),offset_max(X146,X147))
      & ~ $less(offset_min(X146,X147),0)
      & ( c_sort(pointer(X144),null) = X147 )
      & ( c_sort(alloc_table(X144),X145) = X146 ) ),
    inference(theory_normalization,[],[f56]) ).

tff(f56,axiom,
    ! [X144: c_type,X145: c_unsorted] :
    ? [X146: c_sorted,X147: c_sorted] :
      ( $lesseq(offset_max(X146,X147),$uminus(2))
      & $greatereq(offset_min(X146,X147),0)
      & ( c_sort(pointer(X144),null) = X147 )
      & ( c_sort(alloc_table(X144),X145) = X146 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_56) ).

tff(f1516,plain,
    ! [X0: c_type,X1: c_unsorted] : ( sK48(X0,X1) = c_sort(sK64(X0),X1) ),
    inference(definition_unfolding,[],[f1104,f1130]) ).

tff(f1130,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK64(X0) ),
    inference(cnf_transformation,[],[f634]) ).

tff(f634,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK64(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f632,f633]) ).

tff(f633,plain,
    ! [X0: c_type] :
      ( ? [X3: c_type] : ( alloc_table(X0) = X3 )
     => ( alloc_table(X0) = sK64(X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f632,plain,
    ! [X0: c_type] :
    ? [X3: c_type] : ( alloc_table(X0) = X3 ),
    inference(rectify,[],[f423]) ).

tff(f423,plain,
    ! [X0: c_type,X1,X2] :
    ? [X3: c_type] : ( alloc_table(X0) = X3 ),
    inference(pure_predicate_removal,[],[f338]) ).

tff(f338,plain,
    ! [X0: c_type,X1: c_unsorted,X2: c_unsorted] :
    ? [X3: c_type] :
      ( ( alloc_extends(c_sort(X3,X1),c_sort(X3,X2))
       => ! [X4: c_unsorted] :
          ? [X5: c_sorted,X6: c_sorted] :
            ( ( valid(X5,X6)
             => ( offset_max(X5,X6) = offset_max(c_sort(X3,X2),X6) ) )
            & ( c_sort(pointer(X0),X4) = X6 )
            & ( c_sort(X3,X1) = X5 ) ) )
      & ( alloc_table(X0) = X3 ) ),
    inference(rectify,[],[f114]) ).

tff(f114,axiom,
    ! [X497: c_type,X498: c_unsorted,X499: c_unsorted] :
    ? [X500: c_type] :
      ( ( alloc_extends(c_sort(X500,X498),c_sort(X500,X499))
       => ! [X501: c_unsorted] :
          ? [X502: c_sorted,X503: c_sorted] :
            ( ( valid(X502,X503)
             => ( offset_max(X502,X503) = offset_max(c_sort(X500,X499),X503) ) )
            & ( c_sort(pointer(X497),X501) = X503 )
            & ( c_sort(X500,X498) = X502 ) ) )
      & ( alloc_table(X497) = X500 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_114) ).

tff(f1104,plain,
    ! [X0: c_type,X1: c_unsorted] : ( c_sort(alloc_table(X0),X1) = sK48(X0,X1) ),
    inference(cnf_transformation,[],[f605]) ).

tff(f1107,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less($uminus(2),offset_max(sK48(X0,X1),sK49(X0,X1))),
    inference(cnf_transformation,[],[f605]) ).

tff(f2907,plain,
    spl303_140,
    inference(avatar_split_clause,[],[f1654,f2905]) ).

tff(f2905,plain,
    ( spl303_140
  <=> ! [X0: c_type,X1: c_unsorted] : ~ $less(offset_min(c_sort(sK64(X0),X1),c_sort(pointer(X0),null)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_140])]) ).

tff(f1654,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less(offset_min(c_sort(sK64(X0),X1),c_sort(pointer(X0),null)),0),
    inference(definition_unfolding,[],[f1106,f1516,f1105]) ).

tff(f1106,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less(offset_min(sK48(X0,X1),sK49(X0,X1)),0),
    inference(cnf_transformation,[],[f605]) ).

tff(f2903,plain,
    spl303_139,
    inference(avatar_split_clause,[],[f1648,f2901]) ).

tff(f2901,plain,
    ( spl303_139
  <=> ! [X0: c_type,X1: c_unsorted] : ( 0 = sub_pointer(c_sort(pointer(X0),X1),c_sort(pointer(X0),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_139])]) ).

tff(f1648,plain,
    ! [X0: c_type,X1: c_unsorted] : ( 0 = sub_pointer(c_sort(pointer(X0),X1),c_sort(pointer(X0),X1)) ),
    inference(definition_unfolding,[],[f1095,f1094,f1094]) ).

tff(f1094,plain,
    ! [X0: c_type,X1: c_unsorted] : ( c_sort(pointer(X0),X1) = sK43(X0,X1) ),
    inference(cnf_transformation,[],[f595]) ).

tff(f595,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ( 0 = sub_pointer(sK43(X0,X1),sK43(X0,X1)) )
      & ( c_sort(pointer(X0),X1) = sK43(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f329,f594]) ).

tff(f594,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ? [X2: c_sorted] :
          ( ( 0 = sub_pointer(X2,X2) )
          & ( c_sort(pointer(X0),X1) = X2 ) )
     => ( ( 0 = sub_pointer(sK43(X0,X1),sK43(X0,X1)) )
        & ( c_sort(pointer(X0),X1) = sK43(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f329,plain,
    ! [X0: c_type,X1: c_unsorted] :
    ? [X2: c_sorted] :
      ( ( 0 = sub_pointer(X2,X2) )
      & ( c_sort(pointer(X0),X1) = X2 ) ),
    inference(rectify,[],[f62]) ).

tff(f62,axiom,
    ! [X180: c_type,X181: c_unsorted] :
    ? [X182: c_sorted] :
      ( ( 0 = sub_pointer(X182,X182) )
      & ( c_sort(pointer(X180),X181) = X182 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_62) ).

tff(f1095,plain,
    ! [X0: c_type,X1: c_unsorted] : ( 0 = sub_pointer(sK43(X0,X1),sK43(X0,X1)) ),
    inference(cnf_transformation,[],[f595]) ).

tff(f2899,plain,
    ( spl303_138
    | ~ spl303_2
    | ~ spl303_78 ),
    inference(avatar_split_clause,[],[f2515,f2394,f2031,f2897]) ).

tff(f2897,plain,
    ( spl303_138
  <=> ! [X0: $real] : $less(X0,$sum(X0,1.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_138])]) ).

tff(f2031,plain,
    ( spl303_2
  <=> ! [X0: $real] : ~ $less(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_2])]) ).

tff(f2394,plain,
    ( spl303_78
  <=> ! [X0: $real,X1: $real] :
        ( $less(X0,X1)
        | $less(X1,$sum(X0,1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_78])]) ).

tff(f2515,plain,
    ( ! [X0: $real] : $less(X0,$sum(X0,1.0))
    | ~ spl303_2
    | ~ spl303_78 ),
    inference(resolution,[],[f2395,f2032]) ).

tff(f2032,plain,
    ( ! [X0: $real] : ~ $less(X0,X0)
    | ~ spl303_2 ),
    inference(avatar_component_clause,[],[f2031]) ).

tff(f2395,plain,
    ( ! [X0: $real,X1: $real] :
        ( $less(X1,$sum(X0,1.0))
        | $less(X0,X1) )
    | ~ spl303_78 ),
    inference(avatar_component_clause,[],[f2394]) ).

tff(f2895,plain,
    spl303_137,
    inference(avatar_split_clause,[],[f1054,f2893]) ).

tff(f2893,plain,
    ( spl303_137
  <=> ! [X0: c_Boolean,X1: c_Boolean] :
        ( ( c_Boolean_true = X1 )
        | ( c_Boolean_true = X0 )
        | ( c_Boolean_true != bool_or(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_137])]) ).

tff(f1054,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = X1 )
      | ( c_Boolean_true = X0 )
      | ( c_Boolean_true != bool_or(X0,X1) ) ),
    inference(cnf_transformation,[],[f561]) ).

tff(f561,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( ( c_Boolean_true = bool_or(X0,X1) )
        | ( ( c_Boolean_true != X1 )
          & ( c_Boolean_true != X0 ) ) )
      & ( ( c_Boolean_true = X1 )
        | ( c_Boolean_true = X0 )
        | ( c_Boolean_true != bool_or(X0,X1) ) ) ),
    inference(flattening,[],[f560]) ).

tff(f560,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( ( c_Boolean_true = bool_or(X0,X1) )
        | ( ( c_Boolean_true != X1 )
          & ( c_Boolean_true != X0 ) ) )
      & ( ( c_Boolean_true = X1 )
        | ( c_Boolean_true = X0 )
        | ( c_Boolean_true != bool_or(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f314]) ).

tff(f314,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_or(X0,X1) )
    <=> ( ( c_Boolean_true = X1 )
        | ( c_Boolean_true = X0 ) ) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X13: c_Boolean,X14: c_Boolean] :
      ( ( c_Boolean_true = bool_or(X13,X14) )
    <=> ( ( c_Boolean_true = X14 )
        | ( c_Boolean_true = X13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_13) ).

tff(f2891,plain,
    spl303_136,
    inference(avatar_split_clause,[],[f1021,f2889]) ).

tff(f2889,plain,
    ( spl303_136
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X0,lsr(X0,X1))
        | $less(X1,0)
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_136])]) ).

tff(f1021,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,lsr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f443]) ).

tff(f443,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,lsr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(flattening,[],[f442]) ).

tff(f442,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,lsr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f296]) ).

tff(f296,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ~ $less(X0,0) )
     => ~ $less(X0,lsr(X0,X1)) ),
    inference(rectify,[],[f185]) ).

tff(f185,plain,
    ! [X472: $int,X473: $int] :
      ( ( ~ $less(X473,0)
        & ~ $less(X472,0) )
     => ~ $less(X472,lsr(X472,X473)) ),
    inference(theory_normalization,[],[f106]) ).

tff(f106,axiom,
    ! [X472: $int,X473: $int] :
      ( ( $lesseq(0,X473)
        & $lesseq(0,X472) )
     => $lesseq(lsr(X472,X473),X472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_106) ).

tff(f2887,plain,
    spl303_135,
    inference(avatar_split_clause,[],[f1020,f2885]) ).

tff(f2885,plain,
    ( spl303_135
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X0,asr(X0,X1))
        | $less(X1,0)
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_135])]) ).

tff(f1020,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,asr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f441]) ).

tff(f441,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,asr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(flattening,[],[f440]) ).

tff(f440,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,asr(X0,X1))
      | $less(X1,0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f295]) ).

tff(f295,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ~ $less(X0,0) )
     => ~ $less(X0,asr(X0,X1)) ),
    inference(rectify,[],[f184]) ).

tff(f184,plain,
    ! [X476: $int,X477: $int] :
      ( ( ~ $less(X477,0)
        & ~ $less(X476,0) )
     => ~ $less(X476,asr(X476,X477)) ),
    inference(theory_normalization,[],[f108]) ).

tff(f108,axiom,
    ! [X476: $int,X477: $int] :
      ( ( $lesseq(0,X477)
        & $lesseq(0,X476) )
     => $lesseq(asr(X476,X477),X476) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_108) ).

tff(f2883,plain,
    spl303_134,
    inference(avatar_split_clause,[],[f1019,f2881]) ).

tff(f2881,plain,
    ( spl303_134
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(lsl(X0,X1),0)
        | $less(X1,0)
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_134])]) ).

tff(f1019,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsl(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f439]) ).

tff(f439,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsl(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(flattening,[],[f438]) ).

tff(f438,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsl(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f294]) ).

tff(f294,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ~ $less(X0,0) )
     => ~ $less(lsl(X0,X1),0) ),
    inference(rectify,[],[f183]) ).

tff(f183,plain,
    ! [X465: $int,X466: $int] :
      ( ( ~ $less(X466,0)
        & ~ $less(X465,0) )
     => ~ $less(lsl(X465,X466),0) ),
    inference(theory_normalization,[],[f103]) ).

tff(f103,axiom,
    ! [X465: $int,X466: $int] :
      ( ( $lesseq(0,X466)
        & $lesseq(0,X465) )
     => $lesseq(0,lsl(X465,X466)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_103) ).

tff(f2879,plain,
    spl303_133,
    inference(avatar_split_clause,[],[f1018,f2877]) ).

tff(f2877,plain,
    ( spl303_133
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(lsr(X0,X1),0)
        | $less(X1,0)
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_133])]) ).

tff(f1018,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f437]) ).

tff(f437,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(flattening,[],[f436]) ).

tff(f436,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(lsr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f293]) ).

tff(f293,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ~ $less(X0,0) )
     => ~ $less(lsr(X0,X1),0) ),
    inference(rectify,[],[f182]) ).

tff(f182,plain,
    ! [X470: $int,X471: $int] :
      ( ( ~ $less(X471,0)
        & ~ $less(X470,0) )
     => ~ $less(lsr(X470,X471),0) ),
    inference(theory_normalization,[],[f105]) ).

tff(f105,axiom,
    ! [X470: $int,X471: $int] :
      ( ( $lesseq(0,X471)
        & $lesseq(0,X470) )
     => $lesseq(0,lsr(X470,X471)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_105) ).

tff(f2875,plain,
    spl303_132,
    inference(avatar_split_clause,[],[f1017,f2873]) ).

tff(f2873,plain,
    ( spl303_132
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(asr(X0,X1),0)
        | $less(X1,0)
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_132])]) ).

tff(f1017,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(asr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f435]) ).

tff(f435,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(asr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(flattening,[],[f434]) ).

tff(f434,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(asr(X0,X1),0)
      | $less(X1,0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f292]) ).

tff(f292,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ~ $less(X0,0) )
     => ~ $less(asr(X0,X1),0) ),
    inference(rectify,[],[f181]) ).

tff(f181,plain,
    ! [X474: $int,X475: $int] :
      ( ( ~ $less(X475,0)
        & ~ $less(X474,0) )
     => ~ $less(asr(X474,X475),0) ),
    inference(theory_normalization,[],[f107]) ).

tff(f107,axiom,
    ! [X474: $int,X475: $int] :
      ( ( $lesseq(0,X475)
        & $lesseq(0,X474) )
     => $lesseq(0,asr(X474,X475)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_107) ).

tff(f2871,plain,
    spl303_131,
    inference(avatar_split_clause,[],[f243,f2869]) ).

tff(f2869,plain,
    ( spl303_131
  <=> ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_131])]) ).

tff(f243,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f2867,plain,
    spl303_130,
    inference(avatar_split_clause,[],[f236,f2865]) ).

tff(f2865,plain,
    ( spl303_130
  <=> ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_130])]) ).

tff(f236,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f2863,plain,
    spl303_129,
    inference(avatar_split_clause,[],[f225,f2861]) ).

tff(f2861,plain,
    ( spl303_129
  <=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_129])]) ).

tff(f225,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f2851,plain,
    ( spl303_128
    | ~ spl303_1
    | ~ spl303_76 ),
    inference(avatar_split_clause,[],[f2507,f2386,f2027,f2849]) ).

tff(f2849,plain,
    ( spl303_128
  <=> ! [X0: $int] : $less(X0,$sum(X0,1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_128])]) ).

tff(f2027,plain,
    ( spl303_1
  <=> ! [X0: $int] : ~ $less(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_1])]) ).

tff(f2386,plain,
    ( spl303_76
  <=> ! [X0: $int,X1: $int] :
        ( $less(X0,X1)
        | $less(X1,$sum(X0,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_76])]) ).

tff(f2507,plain,
    ( ! [X0: $int] : $less(X0,$sum(X0,1))
    | ~ spl303_1
    | ~ spl303_76 ),
    inference(resolution,[],[f2387,f2028]) ).

tff(f2028,plain,
    ( ! [X0: $int] : ~ $less(X0,X0)
    | ~ spl303_1 ),
    inference(avatar_component_clause,[],[f2027]) ).

tff(f2387,plain,
    ( ! [X0: $int,X1: $int] :
        ( $less(X1,$sum(X0,1))
        | $less(X0,X1) )
    | ~ spl303_76 ),
    inference(avatar_component_clause,[],[f2386]) ).

tff(f2778,plain,
    spl303_127,
    inference(avatar_split_clause,[],[f1089,f2776]) ).

tff(f2776,plain,
    ( spl303_127
  <=> ! [X0: $real,X1: $real] :
        ( ( sK40(X0,X1) = X1 )
        | ( sK40(X0,X1) = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_127])]) ).

tff(f1089,plain,
    ! [X0: $real,X1: $real] :
      ( ( sK40(X0,X1) = X1 )
      | ( sK40(X0,X1) = X0 ) ),
    inference(cnf_transformation,[],[f589]) ).

tff(f589,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( sK40(X0,X1) = X1 )
        | ( sK40(X0,X1) = X0 ) )
      & ( real_min(X0,X1) = sK40(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f326,f588]) ).

tff(f588,plain,
    ! [X0: $real,X1: $real] :
      ( ? [X2: $real] :
          ( ( ( X1 = X2 )
            | ( X0 = X2 ) )
          & ( real_min(X0,X1) = X2 ) )
     => ( ( ( sK40(X0,X1) = X1 )
          | ( sK40(X0,X1) = X0 ) )
        & ( real_min(X0,X1) = sK40(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f326,plain,
    ! [X0: $real,X1: $real] :
    ? [X2: $real] :
      ( ( ( X1 = X2 )
        | ( X0 = X2 ) )
      & ( real_min(X0,X1) = X2 ) ),
    inference(rectify,[],[f39]) ).

tff(f39,axiom,
    ! [X73: $real,X74: $real] :
    ? [X75: $real] :
      ( ( ( X74 = X75 )
        | ( X73 = X75 ) )
      & ( real_min(X73,X74) = X75 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_39) ).

tff(f2774,plain,
    spl303_126,
    inference(avatar_split_clause,[],[f1087,f2772]) ).

tff(f2772,plain,
    ( spl303_126
  <=> ! [X0: $int,X1: $int] :
        ( ( sK39(X0,X1) = X1 )
        | ( sK39(X0,X1) = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_126])]) ).

tff(f1087,plain,
    ! [X0: $int,X1: $int] :
      ( ( sK39(X0,X1) = X1 )
      | ( sK39(X0,X1) = X0 ) ),
    inference(cnf_transformation,[],[f587]) ).

tff(f587,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( sK39(X0,X1) = X1 )
        | ( sK39(X0,X1) = X0 ) )
      & ( int_min(X0,X1) = sK39(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f325,f586]) ).

tff(f586,plain,
    ! [X0: $int,X1: $int] :
      ( ? [X2: $int] :
          ( ( ( X1 = X2 )
            | ( X0 = X2 ) )
          & ( int_min(X0,X1) = X2 ) )
     => ( ( ( sK39(X0,X1) = X1 )
          | ( sK39(X0,X1) = X0 ) )
        & ( int_min(X0,X1) = sK39(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f325,plain,
    ! [X0: $int,X1: $int] :
    ? [X2: $int] :
      ( ( ( X1 = X2 )
        | ( X0 = X2 ) )
      & ( int_min(X0,X1) = X2 ) ),
    inference(rectify,[],[f29]) ).

tff(f29,axiom,
    ! [X49: $int,X50: $int] :
    ? [X51: $int] :
      ( ( ( X50 = X51 )
        | ( X49 = X51 ) )
      & ( int_min(X49,X50) = X51 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_29) ).

tff(f2770,plain,
    spl303_125,
    inference(avatar_split_clause,[],[f1085,f2768]) ).

tff(f2768,plain,
    ( spl303_125
  <=> ! [X0: $int,X1: $int] :
        ( ( sK38(X0,X1) = X1 )
        | ( sK38(X0,X1) = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_125])]) ).

tff(f1085,plain,
    ! [X0: $int,X1: $int] :
      ( ( sK38(X0,X1) = X1 )
      | ( sK38(X0,X1) = X0 ) ),
    inference(cnf_transformation,[],[f585]) ).

tff(f585,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( sK38(X0,X1) = X1 )
        | ( sK38(X0,X1) = X0 ) )
      & ( int_max(X0,X1) = sK38(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f324,f584]) ).

tff(f584,plain,
    ! [X0: $int,X1: $int] :
      ( ? [X2: $int] :
          ( ( ( X1 = X2 )
            | ( X0 = X2 ) )
          & ( int_max(X0,X1) = X2 ) )
     => ( ( ( sK38(X0,X1) = X1 )
          | ( sK38(X0,X1) = X0 ) )
        & ( int_max(X0,X1) = sK38(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f324,plain,
    ! [X0: $int,X1: $int] :
    ? [X2: $int] :
      ( ( ( X1 = X2 )
        | ( X0 = X2 ) )
      & ( int_max(X0,X1) = X2 ) ),
    inference(rectify,[],[f27]) ).

tff(f27,axiom,
    ! [X43: $int,X44: $int] :
    ? [X45: $int] :
      ( ( ( X44 = X45 )
        | ( X43 = X45 ) )
      & ( int_max(X43,X44) = X45 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_27) ).

tff(f2766,plain,
    ( spl303_124
    | ~ spl303_10
    | ~ spl303_45 ),
    inference(avatar_split_clause,[],[f2355,f2224,f2067,f2764]) ).

tff(f2764,plain,
    ( spl303_124
  <=> ! [X0: $int] : ( 0 = $product(0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_124])]) ).

tff(f2067,plain,
    ( spl303_10
  <=> ! [X0: $int] : ( 0 = $product(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_10])]) ).

tff(f2224,plain,
    ( spl303_45
  <=> ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_45])]) ).

tff(f2355,plain,
    ( ! [X0: $int] : ( 0 = $product(0,X0) )
    | ~ spl303_10
    | ~ spl303_45 ),
    inference(superposition,[],[f2225,f2068]) ).

tff(f2068,plain,
    ( ! [X0: $int] : ( 0 = $product(X0,0) )
    | ~ spl303_10 ),
    inference(avatar_component_clause,[],[f2067]) ).

tff(f2225,plain,
    ( ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) )
    | ~ spl303_45 ),
    inference(avatar_component_clause,[],[f2224]) ).

tff(f2762,plain,
    spl303_123,
    inference(avatar_split_clause,[],[f1083,f2760]) ).

tff(f2760,plain,
    ( spl303_123
  <=> ! [X0: $real,X1: $real] :
        ( ( sK37(X0,X1) = X1 )
        | ( sK37(X0,X1) = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_123])]) ).

tff(f1083,plain,
    ! [X0: $real,X1: $real] :
      ( ( sK37(X0,X1) = X1 )
      | ( sK37(X0,X1) = X0 ) ),
    inference(cnf_transformation,[],[f583]) ).

tff(f583,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( sK37(X0,X1) = X1 )
        | ( sK37(X0,X1) = X0 ) )
      & ( real_max(X0,X1) = sK37(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f323,f582]) ).

tff(f582,plain,
    ! [X0: $real,X1: $real] :
      ( ? [X2: $real] :
          ( ( ( X1 = X2 )
            | ( X0 = X2 ) )
          & ( real_max(X0,X1) = X2 ) )
     => ( ( ( sK37(X0,X1) = X1 )
          | ( sK37(X0,X1) = X0 ) )
        & ( real_max(X0,X1) = sK37(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f323,plain,
    ! [X0: $real,X1: $real] :
    ? [X2: $real] :
      ( ( ( X1 = X2 )
        | ( X0 = X2 ) )
      & ( real_max(X0,X1) = X2 ) ),
    inference(rectify,[],[f37]) ).

tff(f37,axiom,
    ! [X67: $real,X68: $real] :
    ? [X69: $real] :
      ( ( ( X68 = X69 )
        | ( X67 = X69 ) )
      & ( real_max(X67,X68) = X69 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_37) ).

tff(f2758,plain,
    spl303_122,
    inference(avatar_split_clause,[],[f250,f2756]) ).

tff(f2756,plain,
    ( spl303_122
  <=> ! [X2: $real,X0: $real,X1: $real] :
        ( ~ $less(X0,X1)
        | $less($sum(X0,X2),$sum(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_122])]) ).

tff(f250,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_145,[]) ).

tff(f2754,plain,
    spl303_121,
    inference(avatar_split_clause,[],[f245,f2752]) ).

tff(f2752,plain,
    ( spl303_121
  <=> ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_121])]) ).

tff(f245,plain,
    ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_139,[]) ).

tff(f2750,plain,
    spl303_120,
    inference(avatar_split_clause,[],[f232,f2748]) ).

tff(f2748,plain,
    ( spl303_120
  <=> ! [X2: $int,X0: $int,X1: $int] :
        ( ~ $less(X0,X1)
        | $less($sum(X0,X2),$sum(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_120])]) ).

tff(f232,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_145,[]) ).

tff(f2746,plain,
    spl303_119,
    inference(avatar_split_clause,[],[f227,f2744]) ).

tff(f2744,plain,
    ( spl303_119
  <=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_119])]) ).

tff(f227,plain,
    ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_139,[]) ).

tff(f2734,plain,
    ( spl303_118
    | ~ spl303_22
    | ~ spl303_113 ),
    inference(avatar_split_clause,[],[f2652,f2649,f2115,f2732]) ).

tff(f2732,plain,
    ( spl303_118
  <=> ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(sK65(X0),X1),c_sort(pset(X0),pset_empty)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_118])]) ).

tff(f2115,plain,
    ( spl303_22
  <=> ! [X0: c_type] : ( sK64(X0) = sK65(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_22])]) ).

tff(f2649,plain,
    ( spl303_113
  <=> ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(sK64(X0),X1),c_sort(pset(X0),pset_empty)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_113])]) ).

tff(f2652,plain,
    ( ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(sK65(X0),X1),c_sort(pset(X0),pset_empty))
    | ~ spl303_22
    | ~ spl303_113 ),
    inference(forward_demodulation,[],[f2650,f2116]) ).

tff(f2116,plain,
    ( ! [X0: c_type] : ( sK64(X0) = sK65(X0) )
    | ~ spl303_22 ),
    inference(avatar_component_clause,[],[f2115]) ).

tff(f2650,plain,
    ( ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(sK64(X0),X1),c_sort(pset(X0),pset_empty))
    | ~ spl303_113 ),
    inference(avatar_component_clause,[],[f2649]) ).

tff(f2730,plain,
    ( spl303_117
    | ~ spl303_22
    | ~ spl303_112 ),
    inference(avatar_split_clause,[],[f2647,f2644,f2115,f2728]) ).

tff(f2728,plain,
    ( spl303_117
  <=> ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(sK65(X0),X1),c_sort(pointer(X0),null)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_117])]) ).

tff(f2644,plain,
    ( spl303_112
  <=> ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(sK64(X0),X1),c_sort(pointer(X0),null)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_112])]) ).

tff(f2647,plain,
    ( ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(sK65(X0),X1),c_sort(pointer(X0),null))
    | ~ spl303_22
    | ~ spl303_112 ),
    inference(forward_demodulation,[],[f2645,f2116]) ).

tff(f2645,plain,
    ( ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(sK64(X0),X1),c_sort(pointer(X0),null))
    | ~ spl303_112 ),
    inference(avatar_component_clause,[],[f2644]) ).

tff(f2666,plain,
    spl303_116,
    inference(avatar_split_clause,[],[f1647,f2664]) ).

tff(f2664,plain,
    ( spl303_116
  <=> ! [X0: c_type,X1: c_unsorted] : pset_included(c_sort(pset(X0),X1),c_sort(pset(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_116])]) ).

tff(f1647,plain,
    ! [X0: c_type,X1: c_unsorted] : pset_included(c_sort(pset(X0),X1),c_sort(pset(X0),X1)),
    inference(definition_unfolding,[],[f1093,f1092,f1092]) ).

tff(f1092,plain,
    ! [X0: c_type,X1: c_unsorted] : ( c_sort(pset(X0),X1) = sK42(X0,X1) ),
    inference(cnf_transformation,[],[f593]) ).

tff(f593,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( pset_included(sK42(X0,X1),sK42(X0,X1))
      & ( c_sort(pset(X0),X1) = sK42(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f328,f592]) ).

tff(f592,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ? [X2: c_sorted] :
          ( pset_included(X2,X2)
          & ( c_sort(pset(X0),X1) = X2 ) )
     => ( pset_included(sK42(X0,X1),sK42(X0,X1))
        & ( c_sort(pset(X0),X1) = sK42(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f328,plain,
    ! [X0: c_type,X1: c_unsorted] :
    ? [X2: c_sorted] :
      ( pset_included(X2,X2)
      & ( c_sort(pset(X0),X1) = X2 ) ),
    inference(rectify,[],[f70]) ).

tff(f70,axiom,
    ! [X237: c_type,X238: c_unsorted] :
    ? [X239: c_sorted] :
      ( pset_included(X239,X239)
      & ( c_sort(pset(X237),X238) = X239 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_70) ).

tff(f1093,plain,
    ! [X0: c_type,X1: c_unsorted] : pset_included(sK42(X0,X1),sK42(X0,X1)),
    inference(cnf_transformation,[],[f593]) ).

tff(f2662,plain,
    spl303_115,
    inference(avatar_split_clause,[],[f1646,f2660]) ).

tff(f2660,plain,
    ( spl303_115
  <=> ! [X0: c_type,X1: c_unsorted] : subtag(c_sort(tag_id(X0),X1),c_sort(tag_id(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_115])]) ).

tff(f1646,plain,
    ! [X0: c_type,X1: c_unsorted] : subtag(c_sort(tag_id(X0),X1),c_sort(tag_id(X0),X1)),
    inference(definition_unfolding,[],[f1091,f1090,f1090]) ).

tff(f1090,plain,
    ! [X0: c_type,X1: c_unsorted] : ( c_sort(tag_id(X0),X1) = sK41(X0,X1) ),
    inference(cnf_transformation,[],[f591]) ).

tff(f591,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( subtag(sK41(X0,X1),sK41(X0,X1))
      & ( c_sort(tag_id(X0),X1) = sK41(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f327,f590]) ).

tff(f590,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ? [X2: c_sorted] :
          ( subtag(X2,X2)
          & ( c_sort(tag_id(X0),X1) = X2 ) )
     => ( subtag(sK41(X0,X1),sK41(X0,X1))
        & ( c_sort(tag_id(X0),X1) = sK41(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f327,plain,
    ! [X0: c_type,X1: c_unsorted] :
    ? [X2: c_sorted] :
      ( subtag(X2,X2)
      & ( c_sort(tag_id(X0),X1) = X2 ) ),
    inference(rectify,[],[f94]) ).

tff(f94,axiom,
    ! [X413: c_type,X414: c_unsorted] :
    ? [X415: c_sorted] :
      ( subtag(X415,X415)
      & ( c_sort(tag_id(X413),X414) = X415 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_94) ).

tff(f1091,plain,
    ! [X0: c_type,X1: c_unsorted] : subtag(sK41(X0,X1),sK41(X0,X1)),
    inference(cnf_transformation,[],[f591]) ).

tff(f2658,plain,
    spl303_114,
    inference(avatar_split_clause,[],[f1638,f2656]) ).

tff(f2656,plain,
    ( spl303_114
  <=> ! [X0: c_type,X1: c_unsorted] : subtag(c_sort(tag_id(X0),X1),c_sort(tag_id(X0),bottom_tag)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_114])]) ).

tff(f1638,plain,
    ! [X0: c_type,X1: c_unsorted] : subtag(c_sort(tag_id(X0),X1),c_sort(tag_id(X0),bottom_tag)),
    inference(definition_unfolding,[],[f1062,f1061,f1061]) ).

tff(f1061,plain,
    ! [X0: c_type,X1: c_unsorted] : ( tag_id(X0) = sK28(X0,X1) ),
    inference(cnf_transformation,[],[f565]) ).

tff(f565,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( subtag(c_sort(sK28(X0,X1),X1),c_sort(sK28(X0,X1),bottom_tag))
      & ( tag_id(X0) = sK28(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f316,f564]) ).

tff(f564,plain,
    ! [X0: c_type,X1: c_unsorted] :
      ( ? [X2: c_type] :
          ( subtag(c_sort(X2,X1),c_sort(X2,bottom_tag))
          & ( tag_id(X0) = X2 ) )
     => ( subtag(c_sort(sK28(X0,X1),X1),c_sort(sK28(X0,X1),bottom_tag))
        & ( tag_id(X0) = sK28(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f316,plain,
    ! [X0: c_type,X1: c_unsorted] :
    ? [X2: c_type] :
      ( subtag(c_sort(X2,X1),c_sort(X2,bottom_tag))
      & ( tag_id(X0) = X2 ) ),
    inference(rectify,[],[f98]) ).

tff(f98,axiom,
    ! [X440: c_type,X441: c_unsorted] :
    ? [X442: c_type] :
      ( subtag(c_sort(X442,X441),c_sort(X442,bottom_tag))
      & ( tag_id(X440) = X442 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_98) ).

tff(f1062,plain,
    ! [X0: c_type,X1: c_unsorted] : subtag(c_sort(sK28(X0,X1),X1),c_sort(sK28(X0,X1),bottom_tag)),
    inference(cnf_transformation,[],[f565]) ).

tff(f2651,plain,
    spl303_113,
    inference(avatar_split_clause,[],[f1637,f2649]) ).

tff(f1637,plain,
    ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(sK64(X0),X1),c_sort(pset(X0),pset_empty)),
    inference(definition_unfolding,[],[f1012,f1130]) ).

tff(f1012,plain,
    ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(alloc_table(X0),X1),c_sort(pset(X0),pset_empty)),
    inference(cnf_transformation,[],[f288]) ).

tff(f288,plain,
    ! [X0: c_type,X1: c_unsorted] : valid_pset(c_sort(alloc_table(X0),X1),c_sort(pset(X0),pset_empty)),
    inference(rectify,[],[f81]) ).

tff(f81,axiom,
    ! [X316: c_type,X317: c_unsorted] : valid_pset(c_sort(alloc_table(X316),X317),c_sort(pset(X316),pset_empty)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_81) ).

tff(f2646,plain,
    spl303_112,
    inference(avatar_split_clause,[],[f1636,f2644]) ).

tff(f1636,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(sK64(X0),X1),c_sort(pointer(X0),null)),
    inference(definition_unfolding,[],[f1010,f1130]) ).

tff(f1010,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(alloc_table(X0),X1),c_sort(pointer(X0),null)),
    inference(cnf_transformation,[],[f286]) ).

tff(f286,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ valid(c_sort(alloc_table(X0),X1),c_sort(pointer(X0),null)),
    inference(rectify,[],[f55]) ).

tff(f55,axiom,
    ! [X142: c_type,X143: c_unsorted] : ~ valid(c_sort(alloc_table(X142),X143),c_sort(pointer(X142),null)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_55) ).

tff(f2642,plain,
    spl303_111,
    inference(avatar_split_clause,[],[f1011,f2640]) ).

tff(f2640,plain,
    ( spl303_111
  <=> ! [X0: c_type,X1: c_unsorted] : ~ in_pset(c_sort(pointer(X0),X1),c_sort(pset(X0),pset_empty)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_111])]) ).

tff(f1011,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ in_pset(c_sort(pointer(X0),X1),c_sort(pset(X0),pset_empty)),
    inference(cnf_transformation,[],[f287]) ).

tff(f287,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ in_pset(c_sort(pointer(X0),X1),c_sort(pset(X0),pset_empty)),
    inference(rectify,[],[f73]) ).

tff(f73,axiom,
    ! [X256: c_type,X257: c_unsorted] : ~ in_pset(c_sort(pointer(X256),X257),c_sort(pset(X256),pset_empty)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_73) ).

tff(f2638,plain,
    spl303_110,
    inference(avatar_split_clause,[],[f249,f2636]) ).

tff(f2636,plain,
    ( spl303_110
  <=> ! [X0: $real,X1: $real] :
        ( $less(X0,X1)
        | $less(X1,X0)
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_110])]) ).

tff(f249,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f2634,plain,
    spl303_109,
    inference(avatar_split_clause,[],[f248,f2632]) ).

tff(f2632,plain,
    ( spl303_109
  <=> ! [X2: $real,X0: $real,X1: $real] :
        ( ~ $less(X0,X1)
        | ~ $less(X1,X2)
        | $less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_109])]) ).

tff(f248,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X2)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f2630,plain,
    spl303_108,
    inference(avatar_split_clause,[],[f231,f2628]) ).

tff(f2628,plain,
    ( spl303_108
  <=> ! [X0: $int,X1: $int] :
        ( $less(X0,X1)
        | $less(X1,X0)
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_108])]) ).

tff(f231,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f2626,plain,
    spl303_107,
    inference(avatar_split_clause,[],[f230,f2624]) ).

tff(f2624,plain,
    ( spl303_107
  <=> ! [X2: $int,X0: $int,X1: $int] :
        ( ~ $less(X0,X1)
        | ~ $less(X1,X2)
        | $less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_107])]) ).

tff(f230,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X2)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f2533,plain,
    ( ~ spl303_106
    | ~ spl303_38
    | ~ spl303_69 ),
    inference(avatar_split_clause,[],[f2382,f2329,f2181,f2530]) ).

tff(f2530,plain,
    ( spl303_106
  <=> $less(2,$uminus(2147483648)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_106])]) ).

tff(f2329,plain,
    ( spl303_69
  <=> ! [X0: c_unsorted] : ~ $less(integer_of_int32(c_sort(int32,X0)),$uminus(2147483648)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_69])]) ).

tff(f2382,plain,
    ( ~ $less(2,$uminus(2147483648))
    | ~ spl303_38
    | ~ spl303_69 ),
    inference(superposition,[],[f2330,f2183]) ).

tff(f2330,plain,
    ( ! [X0: c_unsorted] : ~ $less(integer_of_int32(c_sort(int32,X0)),$uminus(2147483648))
    | ~ spl303_69 ),
    inference(avatar_component_clause,[],[f2329]) ).

tff(f2506,plain,
    spl303_105,
    inference(avatar_split_clause,[],[f1052,f2504]) ).

tff(f2504,plain,
    ( spl303_105
  <=> ! [X0: c_Boolean,X1: c_Boolean] :
        ( ( c_Boolean_true = X1 )
        | ( c_Boolean_true != bool_and(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_105])]) ).

tff(f1052,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = X1 )
      | ( c_Boolean_true != bool_and(X0,X1) ) ),
    inference(cnf_transformation,[],[f559]) ).

tff(f559,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( ( c_Boolean_true = bool_and(X0,X1) )
        | ( c_Boolean_true != X1 )
        | ( c_Boolean_true != X0 ) )
      & ( ( ( c_Boolean_true = X1 )
          & ( c_Boolean_true = X0 ) )
        | ( c_Boolean_true != bool_and(X0,X1) ) ) ),
    inference(flattening,[],[f558]) ).

tff(f558,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( ( c_Boolean_true = bool_and(X0,X1) )
        | ( c_Boolean_true != X1 )
        | ( c_Boolean_true != X0 ) )
      & ( ( ( c_Boolean_true = X1 )
          & ( c_Boolean_true = X0 ) )
        | ( c_Boolean_true != bool_and(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f313]) ).

tff(f313,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_and(X0,X1) )
    <=> ( ( c_Boolean_true = X1 )
        & ( c_Boolean_true = X0 ) ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X11: c_Boolean,X12: c_Boolean] :
      ( ( c_Boolean_true = bool_and(X11,X12) )
    <=> ( ( c_Boolean_true = X12 )
        & ( c_Boolean_true = X11 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12) ).

tff(f2502,plain,
    spl303_104,
    inference(avatar_split_clause,[],[f1051,f2500]) ).

tff(f2500,plain,
    ( spl303_104
  <=> ! [X0: c_Boolean,X1: c_Boolean] :
        ( ( c_Boolean_true = X0 )
        | ( c_Boolean_true != bool_and(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_104])]) ).

tff(f1051,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = X0 )
      | ( c_Boolean_true != bool_and(X0,X1) ) ),
    inference(cnf_transformation,[],[f559]) ).

tff(f2498,plain,
    spl303_103,
    inference(avatar_split_clause,[],[f1050,f2496]) ).

tff(f2496,plain,
    ( spl303_103
  <=> ! [X0: $int,X1: $int] :
        ( ( c_Boolean_true = le_int_bool(X0,X1) )
        | $less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_103])]) ).

tff(f1050,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = le_int_bool(X0,X1) )
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f557]) ).

tff(f557,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = le_int_bool(X0,X1) )
        | $less(X1,X0) )
      & ( ~ $less(X1,X0)
        | ( c_Boolean_true != le_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f312]) ).

tff(f312,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = le_int_bool(X0,X1) )
    <=> ~ $less(X1,X0) ),
    inference(rectify,[],[f194]) ).

tff(f194,plain,
    ! [X28: $int,X29: $int] :
      ( ( c_Boolean_true = le_int_bool(X28,X29) )
    <=> ~ $less(X29,X28) ),
    inference(theory_normalization,[],[f19]) ).

tff(f19,axiom,
    ! [X28: $int,X29: $int] :
      ( ( c_Boolean_true = le_int_bool(X28,X29) )
    <=> $lesseq(X28,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_19) ).

tff(f2494,plain,
    spl303_102,
    inference(avatar_split_clause,[],[f1049,f2492]) ).

tff(f2492,plain,
    ( spl303_102
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X1,X0)
        | ( c_Boolean_true != le_int_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_102])]) ).

tff(f1049,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
      | ( c_Boolean_true != le_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f557]) ).

tff(f2490,plain,
    spl303_101,
    inference(avatar_split_clause,[],[f1048,f2488]) ).

tff(f2488,plain,
    ( spl303_101
  <=> ! [X0: $int,X1: $int] :
        ( ( c_Boolean_true = ge_int_bool(X0,X1) )
        | $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_101])]) ).

tff(f1048,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = ge_int_bool(X0,X1) )
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f556]) ).

tff(f556,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = ge_int_bool(X0,X1) )
        | $less(X0,X1) )
      & ( ~ $less(X0,X1)
        | ( c_Boolean_true != ge_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f311]) ).

tff(f311,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = ge_int_bool(X0,X1) )
    <=> ~ $less(X0,X1) ),
    inference(rectify,[],[f193]) ).

tff(f193,plain,
    ! [X32: $int,X33: $int] :
      ( ( c_Boolean_true = ge_int_bool(X32,X33) )
    <=> ~ $less(X32,X33) ),
    inference(theory_normalization,[],[f21]) ).

tff(f21,axiom,
    ! [X32: $int,X33: $int] :
      ( ( c_Boolean_true = ge_int_bool(X32,X33) )
    <=> $greatereq(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_21) ).

tff(f2486,plain,
    ( ~ spl303_100
    | ~ spl303_37
    | ~ spl303_69 ),
    inference(avatar_split_clause,[],[f2381,f2329,f2176,f2483]) ).

tff(f2483,plain,
    ( spl303_100
  <=> $less(1,$uminus(2147483648)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_100])]) ).

tff(f2381,plain,
    ( ~ $less(1,$uminus(2147483648))
    | ~ spl303_37
    | ~ spl303_69 ),
    inference(superposition,[],[f2330,f2178]) ).

tff(f2178,plain,
    ( ( 1 = integer_of_int32(c_sort(int32,sK4)) )
    | ~ spl303_37 ),
    inference(avatar_component_clause,[],[f2176]) ).

tff(f2481,plain,
    spl303_99,
    inference(avatar_split_clause,[],[f1047,f2479]) ).

tff(f2479,plain,
    ( spl303_99
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X0,X1)
        | ( c_Boolean_true != ge_int_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_99])]) ).

tff(f1047,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ( c_Boolean_true != ge_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f556]) ).

tff(f2477,plain,
    spl303_98,
    inference(avatar_split_clause,[],[f1046,f2475]) ).

tff(f2475,plain,
    ( spl303_98
  <=> ! [X0: $int,X1: $int] :
        ( ( c_Boolean_true = lt_int_bool(X0,X1) )
        | ~ $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_98])]) ).

tff(f1046,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = lt_int_bool(X0,X1) )
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f555]) ).

tff(f555,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = lt_int_bool(X0,X1) )
        | ~ $less(X0,X1) )
      & ( $less(X0,X1)
        | ( c_Boolean_true != lt_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f310]) ).

tff(f310,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = lt_int_bool(X0,X1) )
    <=> $less(X0,X1) ),
    inference(rectify,[],[f18]) ).

tff(f18,axiom,
    ! [X26: $int,X27: $int] :
      ( ( c_Boolean_true = lt_int_bool(X26,X27) )
    <=> $less(X26,X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_18) ).

tff(f2473,plain,
    spl303_97,
    inference(avatar_split_clause,[],[f1045,f2471]) ).

tff(f2471,plain,
    ( spl303_97
  <=> ! [X0: $int,X1: $int] :
        ( $less(X0,X1)
        | ( c_Boolean_true != lt_int_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_97])]) ).

tff(f1045,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | ( c_Boolean_true != lt_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f555]) ).

tff(f2469,plain,
    spl303_96,
    inference(avatar_split_clause,[],[f1044,f2467]) ).

tff(f2467,plain,
    ( spl303_96
  <=> ! [X0: $real,X1: $real] :
        ( ( c_Boolean_true = ge_real_bool(X0,X1) )
        | $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_96])]) ).

tff(f1044,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = ge_real_bool(X0,X1) )
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f554]) ).

tff(f554,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = ge_real_bool(X0,X1) )
        | $less(X0,X1) )
      & ( ~ $less(X0,X1)
        | ( c_Boolean_true != ge_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f309]) ).

tff(f309,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = ge_real_bool(X0,X1) )
    <=> ~ $less(X0,X1) ),
    inference(rectify,[],[f192]) ).

tff(f192,plain,
    ! [X58: $real,X59: $real] :
      ( ( c_Boolean_true = ge_real_bool(X58,X59) )
    <=> ~ $less(X58,X59) ),
    inference(theory_normalization,[],[f33]) ).

tff(f33,axiom,
    ! [X58: $real,X59: $real] :
      ( ( c_Boolean_true = ge_real_bool(X58,X59) )
    <=> $greatereq(X58,X59) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_33) ).

tff(f2465,plain,
    spl303_95,
    inference(avatar_split_clause,[],[f1043,f2463]) ).

tff(f2463,plain,
    ( spl303_95
  <=> ! [X0: $real,X1: $real] :
        ( ~ $less(X0,X1)
        | ( c_Boolean_true != ge_real_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_95])]) ).

tff(f1043,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | ( c_Boolean_true != ge_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f554]) ).

tff(f2461,plain,
    spl303_94,
    inference(avatar_split_clause,[],[f1042,f2459]) ).

tff(f2459,plain,
    ( spl303_94
  <=> ! [X0: $real,X1: $real] :
        ( ( c_Boolean_true = le_real_bool(X0,X1) )
        | $less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_94])]) ).

tff(f1042,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = le_real_bool(X0,X1) )
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f553]) ).

tff(f553,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = le_real_bool(X0,X1) )
        | $less(X1,X0) )
      & ( ~ $less(X1,X0)
        | ( c_Boolean_true != le_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f308]) ).

tff(f308,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = le_real_bool(X0,X1) )
    <=> ~ $less(X1,X0) ),
    inference(rectify,[],[f191]) ).

tff(f191,plain,
    ! [X54: $real,X55: $real] :
      ( ( c_Boolean_true = le_real_bool(X54,X55) )
    <=> ~ $less(X55,X54) ),
    inference(theory_normalization,[],[f31]) ).

tff(f31,axiom,
    ! [X54: $real,X55: $real] :
      ( ( c_Boolean_true = le_real_bool(X54,X55) )
    <=> $lesseq(X54,X55) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_31) ).

tff(f2457,plain,
    spl303_93,
    inference(avatar_split_clause,[],[f1041,f2455]) ).

tff(f2455,plain,
    ( spl303_93
  <=> ! [X0: $real,X1: $real] :
        ( ~ $less(X1,X0)
        | ( c_Boolean_true != le_real_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_93])]) ).

tff(f1041,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X1,X0)
      | ( c_Boolean_true != le_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f553]) ).

tff(f2453,plain,
    spl303_92,
    inference(avatar_split_clause,[],[f1040,f2451]) ).

tff(f2451,plain,
    ( spl303_92
  <=> ! [X0: $real,X1: $real] :
        ( ( c_Boolean_true = lt_real_bool(X0,X1) )
        | ~ $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_92])]) ).

tff(f1040,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = lt_real_bool(X0,X1) )
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f552]) ).

tff(f552,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = lt_real_bool(X0,X1) )
        | ~ $less(X0,X1) )
      & ( $less(X0,X1)
        | ( c_Boolean_true != lt_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f307]) ).

tff(f307,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = lt_real_bool(X0,X1) )
    <=> $less(X0,X1) ),
    inference(rectify,[],[f30]) ).

tff(f30,axiom,
    ! [X52: $real,X53: $real] :
      ( ( c_Boolean_true = lt_real_bool(X52,X53) )
    <=> $less(X52,X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_30) ).

tff(f2449,plain,
    spl303_91,
    inference(avatar_split_clause,[],[f1039,f2447]) ).

tff(f2447,plain,
    ( spl303_91
  <=> ! [X0: $real,X1: $real] :
        ( $less(X0,X1)
        | ( c_Boolean_true != lt_real_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_91])]) ).

tff(f1039,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | ( c_Boolean_true != lt_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f552]) ).

tff(f2445,plain,
    spl303_90,
    inference(avatar_split_clause,[],[f1038,f2443]) ).

tff(f2443,plain,
    ( spl303_90
  <=> ! [X0: $real,X1: $real] :
        ( ( c_Boolean_true = gt_real_bool(X0,X1) )
        | ~ $less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_90])]) ).

tff(f1038,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = gt_real_bool(X0,X1) )
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f551]) ).

tff(f551,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = gt_real_bool(X0,X1) )
        | ~ $less(X1,X0) )
      & ( $less(X1,X0)
        | ( c_Boolean_true != gt_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f306]) ).

tff(f306,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = gt_real_bool(X0,X1) )
    <=> $less(X1,X0) ),
    inference(rectify,[],[f190]) ).

tff(f190,plain,
    ! [X56: $real,X57: $real] :
      ( ( c_Boolean_true = gt_real_bool(X56,X57) )
    <=> $less(X57,X56) ),
    inference(theory_normalization,[],[f32]) ).

tff(f32,axiom,
    ! [X56: $real,X57: $real] :
      ( ( c_Boolean_true = gt_real_bool(X56,X57) )
    <=> $greater(X56,X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_32) ).

tff(f2441,plain,
    spl303_89,
    inference(avatar_split_clause,[],[f1037,f2439]) ).

tff(f2439,plain,
    ( spl303_89
  <=> ! [X0: $real,X1: $real] :
        ( $less(X1,X0)
        | ( c_Boolean_true != gt_real_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_89])]) ).

tff(f1037,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | ( c_Boolean_true != gt_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f551]) ).

tff(f2437,plain,
    spl303_88,
    inference(avatar_split_clause,[],[f1036,f2435]) ).

tff(f2435,plain,
    ( spl303_88
  <=> ! [X0: $int,X1: $int] :
        ( ( c_Boolean_true = gt_int_bool(X0,X1) )
        | ~ $less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_88])]) ).

tff(f1036,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = gt_int_bool(X0,X1) )
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f550]) ).

tff(f550,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = gt_int_bool(X0,X1) )
        | ~ $less(X1,X0) )
      & ( $less(X1,X0)
        | ( c_Boolean_true != gt_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f305]) ).

tff(f305,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = gt_int_bool(X0,X1) )
    <=> $less(X1,X0) ),
    inference(rectify,[],[f189]) ).

tff(f189,plain,
    ! [X30: $int,X31: $int] :
      ( ( c_Boolean_true = gt_int_bool(X30,X31) )
    <=> $less(X31,X30) ),
    inference(theory_normalization,[],[f20]) ).

tff(f20,axiom,
    ! [X30: $int,X31: $int] :
      ( ( c_Boolean_true = gt_int_bool(X30,X31) )
    <=> $greater(X30,X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_20) ).

tff(f2433,plain,
    spl303_87,
    inference(avatar_split_clause,[],[f1035,f2431]) ).

tff(f2431,plain,
    ( spl303_87
  <=> ! [X0: $int,X1: $int] :
        ( $less(X1,X0)
        | ( c_Boolean_true != gt_int_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_87])]) ).

tff(f1035,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( c_Boolean_true != gt_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f550]) ).

tff(f2429,plain,
    spl303_86,
    inference(avatar_split_clause,[],[f1033,f2427]) ).

tff(f2427,plain,
    ( spl303_86
  <=> ! [X0: $int,X1: $int] :
        ( ( X0 = X1 )
        | ( c_Boolean_true != eq_int_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_86])]) ).

tff(f1033,plain,
    ! [X0: $int,X1: $int] :
      ( ( X0 = X1 )
      | ( c_Boolean_true != eq_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f549]) ).

tff(f549,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = eq_int_bool(X0,X1) )
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ( c_Boolean_true != eq_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f304]) ).

tff(f304,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = eq_int_bool(X0,X1) )
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f22]) ).

tff(f22,axiom,
    ! [X34: $int,X35: $int] :
      ( ( c_Boolean_true = eq_int_bool(X34,X35) )
    <=> ( X34 = X35 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_22) ).

tff(f2425,plain,
    spl303_85,
    inference(avatar_split_clause,[],[f1031,f2423]) ).

tff(f2423,plain,
    ( spl303_85
  <=> ! [X0: $real,X1: $real] :
        ( ( X0 = X1 )
        | ( c_Boolean_true != eq_real_bool(X0,X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_85])]) ).

tff(f1031,plain,
    ! [X0: $real,X1: $real] :
      ( ( X0 = X1 )
      | ( c_Boolean_true != eq_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f548]) ).

tff(f548,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = eq_real_bool(X0,X1) )
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ( c_Boolean_true != eq_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f303]) ).

tff(f303,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = eq_real_bool(X0,X1) )
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f34]) ).

tff(f34,axiom,
    ! [X60: $real,X61: $real] :
      ( ( c_Boolean_true = eq_real_bool(X60,X61) )
    <=> ( X60 = X61 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_34) ).

tff(f2421,plain,
    spl303_84,
    inference(avatar_split_clause,[],[f1030,f2419]) ).

tff(f2419,plain,
    ( spl303_84
  <=> ! [X0: $int,X1: $int] :
        ( ( c_Boolean_true = neq_int_bool(X0,X1) )
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_84])]) ).

tff(f1030,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = neq_int_bool(X0,X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f547]) ).

tff(f547,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( c_Boolean_true = neq_int_bool(X0,X1) )
        | ( X0 = X1 ) )
      & ( ( X0 != X1 )
        | ( c_Boolean_true != neq_int_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f302]) ).

tff(f302,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = neq_int_bool(X0,X1) )
    <=> ( X0 != X1 ) ),
    inference(rectify,[],[f23]) ).

tff(f23,axiom,
    ! [X36: $int,X37: $int] :
      ( ( c_Boolean_true = neq_int_bool(X36,X37) )
    <=> ( X36 != X37 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_23) ).

tff(f2417,plain,
    spl303_83,
    inference(avatar_split_clause,[],[f1028,f2415]) ).

tff(f2415,plain,
    ( spl303_83
  <=> ! [X0: c_Boolean,X1: c_Boolean] :
        ( ( c_Boolean_true = bool_xor(X0,X1) )
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_83])]) ).

tff(f1028,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_xor(X0,X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f546]) ).

tff(f546,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( ( c_Boolean_true = bool_xor(X0,X1) )
        | ( X0 = X1 ) )
      & ( ( X0 != X1 )
        | ( c_Boolean_true != bool_xor(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f301]) ).

tff(f301,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_xor(X0,X1) )
    <=> ( X0 != X1 ) ),
    inference(rectify,[],[f14]) ).

tff(f14,axiom,
    ! [X15: c_Boolean,X16: c_Boolean] :
      ( ( c_Boolean_true = bool_xor(X15,X16) )
    <=> ( X15 != X16 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_14) ).

tff(f2413,plain,
    spl303_82,
    inference(avatar_split_clause,[],[f1026,f2411]) ).

tff(f2411,plain,
    ( spl303_82
  <=> ! [X0: $real,X1: $real] :
        ( ( c_Boolean_true = neq_real_bool(X0,X1) )
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_82])]) ).

tff(f1026,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = neq_real_bool(X0,X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f545]) ).

tff(f545,plain,
    ! [X0: $real,X1: $real] :
      ( ( ( c_Boolean_true = neq_real_bool(X0,X1) )
        | ( X0 = X1 ) )
      & ( ( X0 != X1 )
        | ( c_Boolean_true != neq_real_bool(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f300]) ).

tff(f300,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = neq_real_bool(X0,X1) )
    <=> ( X0 != X1 ) ),
    inference(rectify,[],[f35]) ).

tff(f35,axiom,
    ! [X62: $real,X63: $real] :
      ( ( c_Boolean_true = neq_real_bool(X62,X63) )
    <=> ( X62 != X63 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_35) ).

tff(f2409,plain,
    spl303_81,
    inference(avatar_split_clause,[],[f968,f2407]) ).

tff(f2407,plain,
    ( spl303_81
  <=> ! [X0: $int] :
        ( ( $uminus(X0) = abs_int(X0) )
        | $less(0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_81])]) ).

tff(f968,plain,
    ! [X0: $int] :
      ( ( $uminus(X0) = abs_int(X0) )
      | $less(0,X0) ),
    inference(cnf_transformation,[],[f428]) ).

tff(f428,plain,
    ! [X0: $int] :
      ( ( $uminus(X0) = abs_int(X0) )
      | $less(0,X0) ),
    inference(ennf_transformation,[],[f267]) ).

tff(f267,plain,
    ! [X0: $int] :
      ( ~ $less(0,X0)
     => ( $uminus(X0) = abs_int(X0) ) ),
    inference(rectify,[],[f175]) ).

tff(f175,plain,
    ! [X39: $int] :
      ( ~ $less(0,X39)
     => ( abs_int(X39) = $uminus(X39) ) ),
    inference(theory_normalization,[],[f25]) ).

tff(f25,axiom,
    ! [X39: $int] :
      ( $lesseq(X39,0)
     => ( abs_int(X39) = $uminus(X39) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_25) ).

tff(f2405,plain,
    spl303_80,
    inference(avatar_split_clause,[],[f966,f2403]) ).

tff(f2403,plain,
    ( spl303_80
  <=> ! [X0: $real] :
        ( ( $uminus(X0) = abs_real(X0) )
        | $less(0.0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_80])]) ).

tff(f966,plain,
    ! [X0: $real] :
      ( ( $uminus(X0) = abs_real(X0) )
      | $less(0.0,X0) ),
    inference(cnf_transformation,[],[f426]) ).

tff(f426,plain,
    ! [X0: $real] :
      ( ( $uminus(X0) = abs_real(X0) )
      | $less(0.0,X0) ),
    inference(ennf_transformation,[],[f265]) ).

tff(f265,plain,
    ! [X0: $real] :
      ( ~ $less(0.0,X0)
     => ( $uminus(X0) = abs_real(X0) ) ),
    inference(rectify,[],[f173]) ).

tff(f173,plain,
    ! [X77: $real] :
      ( ~ $less(0.0,X77)
     => ( abs_real(X77) = $uminus(X77) ) ),
    inference(theory_normalization,[],[f41]) ).

tff(f41,axiom,
    ! [X77: $real] :
      ( $lesseq(X77,0.0)
     => ( abs_real(X77) = $uminus(X77) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_41) ).

tff(f2401,plain,
    ( spl303_79
    | ~ spl303_1
    | ~ spl303_64 ),
    inference(avatar_split_clause,[],[f2367,f2307,f2027,f2398]) ).

tff(f2398,plain,
    ( spl303_79
  <=> ( 0 = abs_int(0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_79])]) ).

tff(f2307,plain,
    ( spl303_64
  <=> ! [X0: $int] :
        ( ( abs_int(X0) = X0 )
        | $less(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_64])]) ).

tff(f2367,plain,
    ( ( 0 = abs_int(0) )
    | ~ spl303_1
    | ~ spl303_64 ),
    inference(resolution,[],[f2308,f2028]) ).

tff(f2308,plain,
    ( ! [X0: $int] :
        ( $less(X0,0)
        | ( abs_int(X0) = X0 ) )
    | ~ spl303_64 ),
    inference(avatar_component_clause,[],[f2307]) ).

tff(f2396,plain,
    spl303_78,
    inference(avatar_split_clause,[],[f251,f2394]) ).

tff(f251,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1.0)) ),
    introduced(theory_axiom_147,[]) ).

tff(f2392,plain,
    spl303_77,
    inference(avatar_split_clause,[],[f241,f2390]) ).

tff(f2390,plain,
    ( spl303_77
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X0,X1)
        | ~ $less(X1,$sum(X0,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_77])]) ).

tff(f241,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_161,[]) ).

tff(f2388,plain,
    spl303_76,
    inference(avatar_split_clause,[],[f233,f2386]) ).

tff(f233,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_147,[]) ).

tff(f2379,plain,
    ( spl303_75
    | ~ spl303_2
    | ~ spl303_63 ),
    inference(avatar_split_clause,[],[f2364,f2303,f2031,f2376]) ).

tff(f2376,plain,
    ( spl303_75
  <=> ( 0.0 = abs_real(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_75])]) ).

tff(f2303,plain,
    ( spl303_63
  <=> ! [X0: $real] :
        ( ( abs_real(X0) = X0 )
        | $less(X0,0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_63])]) ).

tff(f2364,plain,
    ( ( 0.0 = abs_real(0.0) )
    | ~ spl303_2
    | ~ spl303_63 ),
    inference(resolution,[],[f2304,f2032]) ).

tff(f2304,plain,
    ( ! [X0: $real] :
        ( $less(X0,0.0)
        | ( abs_real(X0) = X0 ) )
    | ~ spl303_63 ),
    inference(avatar_component_clause,[],[f2303]) ).

tff(f2354,plain,
    spl303_74,
    inference(avatar_split_clause,[],[f1823,f2351]) ).

tff(f1823,plain,
    c_sort(int32,sK6) = c_sort(int32,sK7),
    inference(equality_resolution,[],[f952]) ).

tff(f952,plain,
    ! [X4: c_sorted] :
      ( ( c_sort(int32,sK6) = X4 )
      | ( c_sort(int32,sK7) != X4 ) ),
    inference(cnf_transformation,[],[f509]) ).

tff(f2349,plain,
    spl303_73,
    inference(avatar_split_clause,[],[f1645,f2347]) ).

tff(f2347,plain,
    ( spl303_73
  <=> ! [X0: $real,X1: $real] : ( sK34(X0,X1) = sK40(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_73])]) ).

tff(f1645,plain,
    ! [X0: $real,X1: $real] : ( sK34(X0,X1) = sK40(X0,X1) ),
    inference(definition_unfolding,[],[f1088,f1073]) ).

tff(f1073,plain,
    ! [X0: $real,X1: $real] : ( real_min(X0,X1) = sK34(X0,X1) ),
    inference(cnf_transformation,[],[f577]) ).

tff(f577,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(X1,sK34(X0,X1))
      & ~ $less(X0,sK34(X0,X1))
      & ( real_min(X0,X1) = sK34(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f320,f576]) ).

tff(f576,plain,
    ! [X0: $real,X1: $real] :
      ( ? [X2: $real] :
          ( ~ $less(X1,X2)
          & ~ $less(X0,X2)
          & ( real_min(X0,X1) = X2 ) )
     => ( ~ $less(X1,sK34(X0,X1))
        & ~ $less(X0,sK34(X0,X1))
        & ( real_min(X0,X1) = sK34(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f320,plain,
    ! [X0: $real,X1: $real] :
    ? [X2: $real] :
      ( ~ $less(X1,X2)
      & ~ $less(X0,X2)
      & ( real_min(X0,X1) = X2 ) ),
    inference(rectify,[],[f197]) ).

tff(f197,plain,
    ! [X70: $real,X71: $real] :
    ? [X72: $real] :
      ( ~ $less(X71,X72)
      & ~ $less(X70,X72)
      & ( real_min(X70,X71) = X72 ) ),
    inference(theory_normalization,[],[f38]) ).

tff(f38,axiom,
    ! [X70: $real,X71: $real] :
    ? [X72: $real] :
      ( $lesseq(X72,X71)
      & $lesseq(X72,X70)
      & ( real_min(X70,X71) = X72 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_38) ).

tff(f1088,plain,
    ! [X0: $real,X1: $real] : ( real_min(X0,X1) = sK40(X0,X1) ),
    inference(cnf_transformation,[],[f589]) ).

tff(f2343,plain,
    spl303_72,
    inference(avatar_split_clause,[],[f1644,f2341]) ).

tff(f2341,plain,
    ( spl303_72
  <=> ! [X0: $int,X1: $int] : ( sK36(X0,X1) = sK39(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_72])]) ).

tff(f1644,plain,
    ! [X0: $int,X1: $int] : ( sK36(X0,X1) = sK39(X0,X1) ),
    inference(definition_unfolding,[],[f1086,f1079]) ).

tff(f1079,plain,
    ! [X0: $int,X1: $int] : ( int_min(X0,X1) = sK36(X0,X1) ),
    inference(cnf_transformation,[],[f581]) ).

tff(f581,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,sK36(X0,X1))
      & ~ $less(X0,sK36(X0,X1))
      & ( int_min(X0,X1) = sK36(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f322,f580]) ).

tff(f580,plain,
    ! [X0: $int,X1: $int] :
      ( ? [X2: $int] :
          ( ~ $less(X1,X2)
          & ~ $less(X0,X2)
          & ( int_min(X0,X1) = X2 ) )
     => ( ~ $less(X1,sK36(X0,X1))
        & ~ $less(X0,sK36(X0,X1))
        & ( int_min(X0,X1) = sK36(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f322,plain,
    ! [X0: $int,X1: $int] :
    ? [X2: $int] :
      ( ~ $less(X1,X2)
      & ~ $less(X0,X2)
      & ( int_min(X0,X1) = X2 ) ),
    inference(rectify,[],[f199]) ).

tff(f199,plain,
    ! [X46: $int,X47: $int] :
    ? [X48: $int] :
      ( ~ $less(X47,X48)
      & ~ $less(X46,X48)
      & ( int_min(X46,X47) = X48 ) ),
    inference(theory_normalization,[],[f28]) ).

tff(f28,axiom,
    ! [X46: $int,X47: $int] :
    ? [X48: $int] :
      ( $lesseq(X48,X47)
      & $lesseq(X48,X46)
      & ( int_min(X46,X47) = X48 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_28) ).

tff(f1086,plain,
    ! [X0: $int,X1: $int] : ( int_min(X0,X1) = sK39(X0,X1) ),
    inference(cnf_transformation,[],[f587]) ).

tff(f2339,plain,
    spl303_71,
    inference(avatar_split_clause,[],[f1643,f2337]) ).

tff(f2337,plain,
    ( spl303_71
  <=> ! [X0: $int,X1: $int] : ( sK35(X0,X1) = sK38(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_71])]) ).

tff(f1643,plain,
    ! [X0: $int,X1: $int] : ( sK35(X0,X1) = sK38(X0,X1) ),
    inference(definition_unfolding,[],[f1084,f1076]) ).

tff(f1076,plain,
    ! [X0: $int,X1: $int] : ( int_max(X0,X1) = sK35(X0,X1) ),
    inference(cnf_transformation,[],[f579]) ).

tff(f579,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(sK35(X0,X1),X1)
      & ~ $less(sK35(X0,X1),X0)
      & ( int_max(X0,X1) = sK35(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f321,f578]) ).

tff(f578,plain,
    ! [X0: $int,X1: $int] :
      ( ? [X2: $int] :
          ( ~ $less(X2,X1)
          & ~ $less(X2,X0)
          & ( int_max(X0,X1) = X2 ) )
     => ( ~ $less(sK35(X0,X1),X1)
        & ~ $less(sK35(X0,X1),X0)
        & ( int_max(X0,X1) = sK35(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f321,plain,
    ! [X0: $int,X1: $int] :
    ? [X2: $int] :
      ( ~ $less(X2,X1)
      & ~ $less(X2,X0)
      & ( int_max(X0,X1) = X2 ) ),
    inference(rectify,[],[f198]) ).

tff(f198,plain,
    ! [X40: $int,X41: $int] :
    ? [X42: $int] :
      ( ~ $less(X42,X41)
      & ~ $less(X42,X40)
      & ( int_max(X40,X41) = X42 ) ),
    inference(theory_normalization,[],[f26]) ).

tff(f26,axiom,
    ! [X40: $int,X41: $int] :
    ? [X42: $int] :
      ( $greatereq(X42,X41)
      & $greatereq(X42,X40)
      & ( int_max(X40,X41) = X42 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_26) ).

tff(f1084,plain,
    ! [X0: $int,X1: $int] : ( int_max(X0,X1) = sK38(X0,X1) ),
    inference(cnf_transformation,[],[f585]) ).

tff(f2335,plain,
    spl303_70,
    inference(avatar_split_clause,[],[f1642,f2333]) ).

tff(f2333,plain,
    ( spl303_70
  <=> ! [X0: $real,X1: $real] : ( sK33(X0,X1) = sK37(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_70])]) ).

tff(f1642,plain,
    ! [X0: $real,X1: $real] : ( sK33(X0,X1) = sK37(X0,X1) ),
    inference(definition_unfolding,[],[f1082,f1070]) ).

tff(f1070,plain,
    ! [X0: $real,X1: $real] : ( real_max(X0,X1) = sK33(X0,X1) ),
    inference(cnf_transformation,[],[f575]) ).

tff(f575,plain,
    ! [X0: $real,X1: $real] :
      ( ~ $less(sK33(X0,X1),X1)
      & ~ $less(sK33(X0,X1),X0)
      & ( real_max(X0,X1) = sK33(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f319,f574]) ).

tff(f574,plain,
    ! [X0: $real,X1: $real] :
      ( ? [X2: $real] :
          ( ~ $less(X2,X1)
          & ~ $less(X2,X0)
          & ( real_max(X0,X1) = X2 ) )
     => ( ~ $less(sK33(X0,X1),X1)
        & ~ $less(sK33(X0,X1),X0)
        & ( real_max(X0,X1) = sK33(X0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f319,plain,
    ! [X0: $real,X1: $real] :
    ? [X2: $real] :
      ( ~ $less(X2,X1)
      & ~ $less(X2,X0)
      & ( real_max(X0,X1) = X2 ) ),
    inference(rectify,[],[f196]) ).

tff(f196,plain,
    ! [X64: $real,X65: $real] :
    ? [X66: $real] :
      ( ~ $less(X66,X65)
      & ~ $less(X66,X64)
      & ( real_max(X64,X65) = X66 ) ),
    inference(theory_normalization,[],[f36]) ).

tff(f36,axiom,
    ! [X64: $real,X65: $real] :
    ? [X66: $real] :
      ( $greatereq(X66,X65)
      & $greatereq(X66,X64)
      & ( real_max(X64,X65) = X66 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_36) ).

tff(f1082,plain,
    ! [X0: $real,X1: $real] : ( real_max(X0,X1) = sK37(X0,X1) ),
    inference(cnf_transformation,[],[f583]) ).

tff(f2331,plain,
    spl303_69,
    inference(avatar_split_clause,[],[f1635,f2329]) ).

tff(f1635,plain,
    ! [X0: c_unsorted] : ~ $less(integer_of_int32(c_sort(int32,X0)),$uminus(2147483648)),
    inference(definition_unfolding,[],[f1007,f1006]) ).

tff(f1006,plain,
    ! [X0: c_unsorted] : ( integer_of_int32(c_sort(int32,X0)) = sK27(X0) ),
    inference(cnf_transformation,[],[f544]) ).

tff(f544,plain,
    ! [X0: c_unsorted] :
      ( ~ $less(2147483647,sK27(X0))
      & ~ $less(sK27(X0),$uminus(2147483648))
      & ( integer_of_int32(c_sort(int32,X0)) = sK27(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f284,f543]) ).

tff(f543,plain,
    ! [X0: c_unsorted] :
      ( ? [X1: $int] :
          ( ~ $less(2147483647,X1)
          & ~ $less(X1,$uminus(2147483648))
          & ( integer_of_int32(c_sort(int32,X0)) = X1 ) )
     => ( ~ $less(2147483647,sK27(X0))
        & ~ $less(sK27(X0),$uminus(2147483648))
        & ( integer_of_int32(c_sort(int32,X0)) = sK27(X0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f284,plain,
    ! [X0: c_unsorted] :
    ? [X1: $int] :
      ( ~ $less(2147483647,X1)
      & ~ $less(X1,$uminus(2147483648))
      & ( integer_of_int32(c_sort(int32,X0)) = X1 ) ),
    inference(rectify,[],[f179]) ).

tff(f179,plain,
    ! [X710: c_unsorted] :
    ? [X711: $int] :
      ( ~ $less(2147483647,X711)
      & ~ $less(X711,$uminus(2147483648))
      & ( integer_of_int32(c_sort(int32,X710)) = X711 ) ),
    inference(theory_normalization,[],[f145]) ).

tff(f145,axiom,
    ! [X710: c_unsorted] :
    ? [X711: $int] :
      ( $lesseq(X711,2147483647)
      & $lesseq($uminus(2147483648),X711)
      & ( integer_of_int32(c_sort(int32,X710)) = X711 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_145) ).

tff(f1007,plain,
    ! [X0: c_unsorted] : ~ $less(sK27(X0),$uminus(2147483648)),
    inference(cnf_transformation,[],[f544]) ).

tff(f2327,plain,
    spl303_68,
    inference(avatar_split_clause,[],[f1507,f2324]) ).

tff(f2324,plain,
    ( spl303_68
  <=> parenttag(c_sort(sK302,void_P_tag),c_sort(sK302,bottom_tag)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_68])]) ).

tff(f1507,plain,
    parenttag(c_sort(sK302,void_P_tag),c_sort(sK302,bottom_tag)),
    inference(cnf_transformation,[],[f944]) ).

tff(f944,plain,
    ( parenttag(c_sort(sK302,void_P_tag),c_sort(sK302,bottom_tag))
    & ( tag_id(void_P) = sK302 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK302])],[f418,f943]) ).

tff(f943,plain,
    ( ? [X0: c_type] :
        ( parenttag(c_sort(X0,void_P_tag),c_sort(X0,bottom_tag))
        & ( tag_id(void_P) = X0 ) )
   => ( parenttag(c_sort(sK302,void_P_tag),c_sort(sK302,bottom_tag))
      & ( tag_id(void_P) = sK302 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f418,plain,
    ? [X0: c_type] :
      ( parenttag(c_sort(X0,void_P_tag),c_sort(X0,bottom_tag))
      & ( tag_id(void_P) = X0 ) ),
    inference(rectify,[],[f168]) ).

tff(f168,axiom,
    ? [X809: c_type] :
      ( parenttag(c_sort(X809,void_P_tag),c_sort(X809,bottom_tag))
      & ( tag_id(void_P) = X809 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_168) ).

tff(f2322,plain,
    spl303_67,
    inference(avatar_split_clause,[],[f1505,f2319]) ).

tff(f2319,plain,
    ( spl303_67
  <=> parenttag(c_sort(sK301,char_P_tag),c_sort(sK301,bottom_tag)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_67])]) ).

tff(f1505,plain,
    parenttag(c_sort(sK301,char_P_tag),c_sort(sK301,bottom_tag)),
    inference(cnf_transformation,[],[f942]) ).

tff(f942,plain,
    ( parenttag(c_sort(sK301,char_P_tag),c_sort(sK301,bottom_tag))
    & ( tag_id(char_P) = sK301 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK301])],[f417,f941]) ).

tff(f941,plain,
    ( ? [X0: c_type] :
        ( parenttag(c_sort(X0,char_P_tag),c_sort(X0,bottom_tag))
        & ( tag_id(char_P) = X0 ) )
   => ( parenttag(c_sort(sK301,char_P_tag),c_sort(sK301,bottom_tag))
      & ( tag_id(char_P) = sK301 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f417,plain,
    ? [X0: c_type] :
      ( parenttag(c_sort(X0,char_P_tag),c_sort(X0,bottom_tag))
      & ( tag_id(char_P) = X0 ) ),
    inference(rectify,[],[f139]) ).

tff(f139,axiom,
    ? [X696: c_type] :
      ( parenttag(c_sort(X696,char_P_tag),c_sort(X696,bottom_tag))
      & ( tag_id(char_P) = X696 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_139) ).

tff(f2317,plain,
    spl303_66,
    inference(avatar_split_clause,[],[f1009,f2315]) ).

tff(f2315,plain,
    ( spl303_66
  <=> ! [X0: c_type,X1: c_unsorted] : ~ $less(address(c_sort(pointer(X0),X1)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_66])]) ).

tff(f1009,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less(address(c_sort(pointer(X0),X1)),0),
    inference(cnf_transformation,[],[f285]) ).

tff(f285,plain,
    ! [X0: c_type,X1: c_unsorted] : ~ $less(address(c_sort(pointer(X0),X1)),0),
    inference(rectify,[],[f180]) ).

tff(f180,plain,
    ! [X98: c_type,X99: c_unsorted] : ~ $less(address(c_sort(pointer(X98),X99)),0),
    inference(theory_normalization,[],[f47]) ).

tff(f47,axiom,
    ! [X98: c_type,X99: c_unsorted] : $lesseq(0,address(c_sort(pointer(X98),X99))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_47) ).

tff(f2313,plain,
    spl303_65,
    inference(avatar_split_clause,[],[f971,f2311]) ).

tff(f2311,plain,
    ( spl303_65
  <=> ! [X0: c_Boolean] :
        ( ( c_Boolean_false = X0 )
        | ( c_Boolean_true != bool_not(X0) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_65])]) ).

tff(f971,plain,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_false = X0 )
      | ( c_Boolean_true != bool_not(X0) ) ),
    inference(cnf_transformation,[],[f510]) ).

tff(f510,plain,
    ! [X0: c_Boolean] :
      ( ( ( c_Boolean_true = bool_not(X0) )
        | ( c_Boolean_false != X0 ) )
      & ( ( c_Boolean_false = X0 )
        | ( c_Boolean_true != bool_not(X0) ) ) ),
    inference(nnf_transformation,[],[f270]) ).

tff(f270,plain,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_true = bool_not(X0) )
    <=> ( c_Boolean_false = X0 ) ),
    inference(rectify,[],[f15]) ).

tff(f15,axiom,
    ! [X17: c_Boolean] :
      ( ( c_Boolean_true = bool_not(X17) )
    <=> ( c_Boolean_false = X17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_15) ).

tff(f2309,plain,
    spl303_64,
    inference(avatar_split_clause,[],[f967,f2307]) ).

tff(f967,plain,
    ! [X0: $int] :
      ( ( abs_int(X0) = X0 )
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f427]) ).

tff(f427,plain,
    ! [X0: $int] :
      ( ( abs_int(X0) = X0 )
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f266]) ).

tff(f266,plain,
    ! [X0: $int] :
      ( ~ $less(X0,0)
     => ( abs_int(X0) = X0 ) ),
    inference(rectify,[],[f174]) ).

tff(f174,plain,
    ! [X38: $int] :
      ( ~ $less(X38,0)
     => ( abs_int(X38) = X38 ) ),
    inference(theory_normalization,[],[f24]) ).

tff(f24,axiom,
    ! [X38: $int] :
      ( $greatereq(X38,0)
     => ( abs_int(X38) = X38 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_24) ).

tff(f2305,plain,
    spl303_63,
    inference(avatar_split_clause,[],[f965,f2303]) ).

tff(f965,plain,
    ! [X0: $real] :
      ( ( abs_real(X0) = X0 )
      | $less(X0,0.0) ),
    inference(cnf_transformation,[],[f425]) ).

tff(f425,plain,
    ! [X0: $real] :
      ( ( abs_real(X0) = X0 )
      | $less(X0,0.0) ),
    inference(ennf_transformation,[],[f264]) ).

tff(f264,plain,
    ! [X0: $real] :
      ( ~ $less(X0,0.0)
     => ( abs_real(X0) = X0 ) ),
    inference(rectify,[],[f172]) ).

tff(f172,plain,
    ! [X76: $real] :
      ( ~ $less(X76,0.0)
     => ( abs_real(X76) = X76 ) ),
    inference(theory_normalization,[],[f40]) ).

tff(f40,axiom,
    ! [X76: $real] :
      ( $greatereq(X76,0.0)
     => ( abs_real(X76) = X76 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_40) ).

tff(f2301,plain,
    ( spl303_62
    | ~ spl303_27
    | ~ spl303_39 ),
    inference(avatar_split_clause,[],[f2212,f2186,f2135,f2299]) ).

tff(f2299,plain,
    ( spl303_62
  <=> ! [X0: $int] : ( c_Boolean_false = neq_int_bool(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_62])]) ).

tff(f2135,plain,
    ( spl303_27
  <=> ! [X1: $int] : ( c_Boolean_true != neq_int_bool(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_27])]) ).

tff(f2186,plain,
    ( spl303_39
  <=> ! [X0: c_Boolean] :
        ( ( c_Boolean_false = X0 )
        | ( c_Boolean_true = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_39])]) ).

tff(f2212,plain,
    ( ! [X0: $int] : ( c_Boolean_false = neq_int_bool(X0,X0) )
    | ~ spl303_27
    | ~ spl303_39 ),
    inference(trivial_inequality_removal,[],[f2206]) ).

tff(f2206,plain,
    ( ! [X0: $int] :
        ( ( c_Boolean_true != c_Boolean_true )
        | ( c_Boolean_false = neq_int_bool(X0,X0) ) )
    | ~ spl303_27
    | ~ spl303_39 ),
    inference(superposition,[],[f2136,f2187]) ).

tff(f2187,plain,
    ( ! [X0: c_Boolean] :
        ( ( c_Boolean_true = X0 )
        | ( c_Boolean_false = X0 ) )
    | ~ spl303_39 ),
    inference(avatar_component_clause,[],[f2186]) ).

tff(f2136,plain,
    ( ! [X1: $int] : ( c_Boolean_true != neq_int_bool(X1,X1) )
    | ~ spl303_27 ),
    inference(avatar_component_clause,[],[f2135]) ).

tff(f2297,plain,
    spl303_61,
    inference(avatar_split_clause,[],[f963,f2295]) ).

tff(f2295,plain,
    ( spl303_61
  <=> ! [X0: 'Unit'] : ( s2unit(c_sort(c_unit,unit2u(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_61])]) ).

tff(f963,plain,
    ! [X0: 'Unit'] : ( s2unit(c_sort(c_unit,unit2u(X0))) = X0 ),
    inference(cnf_transformation,[],[f263]) ).

tff(f263,plain,
    ! [X0: 'Unit'] : ( s2unit(c_sort(c_unit,unit2u(X0))) = X0 ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X4: 'Unit'] : ( s2unit(c_sort(c_unit,unit2u(X4))) = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).

tff(f2293,plain,
    spl303_60,
    inference(avatar_split_clause,[],[f962,f2291]) ).

tff(f2291,plain,
    ( spl303_60
  <=> ! [X0: $real] : ( s2real(c_sort(c_real,real2u(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_60])]) ).

tff(f962,plain,
    ! [X0: $real] : ( s2real(c_sort(c_real,real2u(X0))) = X0 ),
    inference(cnf_transformation,[],[f262]) ).

tff(f262,plain,
    ! [X0: $real] : ( s2real(c_sort(c_real,real2u(X0))) = X0 ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X3: $real] : ( s2real(c_sort(c_real,real2u(X3))) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5) ).

tff(f2289,plain,
    spl303_59,
    inference(avatar_split_clause,[],[f961,f2287]) ).

tff(f2287,plain,
    ( spl303_59
  <=> ! [X0: $int] : ( s2int(c_sort(c_int,int2u(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_59])]) ).

tff(f961,plain,
    ! [X0: $int] : ( s2int(c_sort(c_int,int2u(X0))) = X0 ),
    inference(cnf_transformation,[],[f261]) ).

tff(f261,plain,
    ! [X0: $int] : ( s2int(c_sort(c_int,int2u(X0))) = X0 ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: $int] : ( s2int(c_sort(c_int,int2u(X1))) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(f2285,plain,
    spl303_58,
    inference(avatar_split_clause,[],[f960,f2283]) ).

tff(f2283,plain,
    ( spl303_58
  <=> ! [X0: c_Boolean] : ( s2bool(c_sort(c_bool,bool2u(X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_58])]) ).

tff(f960,plain,
    ! [X0: c_Boolean] : ( s2bool(c_sort(c_bool,bool2u(X0))) = X0 ),
    inference(cnf_transformation,[],[f260]) ).

tff(f260,plain,
    ! [X0: c_Boolean] : ( s2bool(c_sort(c_bool,bool2u(X0))) = X0 ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X2: c_Boolean] : ( s2bool(c_sort(c_bool,bool2u(X2))) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).

tff(f2281,plain,
    spl303_57,
    inference(avatar_split_clause,[],[f959,f2279]) ).

tff(f2279,plain,
    ( spl303_57
  <=> ! [X0: c_unsorted] : ( unit2u(s2unit(c_sort(c_unit,X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_57])]) ).

tff(f959,plain,
    ! [X0: c_unsorted] : ( unit2u(s2unit(c_sort(c_unit,X0))) = X0 ),
    inference(cnf_transformation,[],[f259]) ).

tff(f259,plain,
    ! [X0: c_unsorted] : ( unit2u(s2unit(c_sort(c_unit,X0))) = X0 ),
    inference(rectify,[],[f10]) ).

tff(f10,axiom,
    ! [X8: c_unsorted] : ( unit2u(s2unit(c_sort(c_unit,X8))) = X8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10) ).

tff(f2277,plain,
    spl303_56,
    inference(avatar_split_clause,[],[f958,f2275]) ).

tff(f2275,plain,
    ( spl303_56
  <=> ! [X0: c_unsorted] : ( real2u(s2real(c_sort(c_real,X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_56])]) ).

tff(f958,plain,
    ! [X0: c_unsorted] : ( real2u(s2real(c_sort(c_real,X0))) = X0 ),
    inference(cnf_transformation,[],[f258]) ).

tff(f258,plain,
    ! [X0: c_unsorted] : ( real2u(s2real(c_sort(c_real,X0))) = X0 ),
    inference(rectify,[],[f9]) ).

tff(f9,axiom,
    ! [X7: c_unsorted] : ( real2u(s2real(c_sort(c_real,X7))) = X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9) ).

tff(f2273,plain,
    spl303_55,
    inference(avatar_split_clause,[],[f957,f2271]) ).

tff(f2271,plain,
    ( spl303_55
  <=> ! [X0: c_unsorted] : ( bool2u(s2bool(c_sort(c_bool,X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_55])]) ).

tff(f957,plain,
    ! [X0: c_unsorted] : ( bool2u(s2bool(c_sort(c_bool,X0))) = X0 ),
    inference(cnf_transformation,[],[f257]) ).

tff(f257,plain,
    ! [X0: c_unsorted] : ( bool2u(s2bool(c_sort(c_bool,X0))) = X0 ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X6: c_unsorted] : ( bool2u(s2bool(c_sort(c_bool,X6))) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8) ).

tff(f2269,plain,
    spl303_54,
    inference(avatar_split_clause,[],[f956,f2267]) ).

tff(f2267,plain,
    ( spl303_54
  <=> ! [X0: c_unsorted] : ( int2u(s2int(c_sort(c_int,X0))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_54])]) ).

tff(f956,plain,
    ! [X0: c_unsorted] : ( int2u(s2int(c_sort(c_int,X0))) = X0 ),
    inference(cnf_transformation,[],[f256]) ).

tff(f256,plain,
    ! [X0: c_unsorted] : ( int2u(s2int(c_sort(c_int,X0))) = X0 ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X5: c_unsorted] : ( int2u(s2int(c_sort(c_int,X5))) = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).

tff(f2265,plain,
    spl303_53,
    inference(avatar_split_clause,[],[f955,f2263]) ).

tff(f2263,plain,
    ( spl303_53
  <=> ! [X0: c_type] : ( 0 = address(c_sort(pointer(X0),null)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_53])]) ).

tff(f955,plain,
    ! [X0: c_type] : ( 0 = address(c_sort(pointer(X0),null)) ),
    inference(cnf_transformation,[],[f255]) ).

tff(f255,plain,
    ! [X0: c_type] : ( 0 = address(c_sort(pointer(X0),null)) ),
    inference(rectify,[],[f46]) ).

tff(f46,axiom,
    ! [X97: c_type] : ( 0 = address(c_sort(pointer(X97),null)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_46) ).

tff(f2261,plain,
    spl303_52,
    inference(avatar_split_clause,[],[f950,f2258]) ).

tff(f950,plain,
    c_sort(int32,sK4) = c_sort(int32,sK5),
    inference(cnf_transformation,[],[f509]) ).

tff(f2256,plain,
    ( spl303_51
    | ~ spl303_25
    | ~ spl303_39 ),
    inference(avatar_split_clause,[],[f2211,f2186,f2127,f2254]) ).

tff(f2254,plain,
    ( spl303_51
  <=> ! [X0: $real] : ( c_Boolean_false = neq_real_bool(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_51])]) ).

tff(f2127,plain,
    ( spl303_25
  <=> ! [X1: $real] : ( c_Boolean_true != neq_real_bool(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_25])]) ).

tff(f2211,plain,
    ( ! [X0: $real] : ( c_Boolean_false = neq_real_bool(X0,X0) )
    | ~ spl303_25
    | ~ spl303_39 ),
    inference(trivial_inequality_removal,[],[f2207]) ).

tff(f2207,plain,
    ( ! [X0: $real] :
        ( ( c_Boolean_true != c_Boolean_true )
        | ( c_Boolean_false = neq_real_bool(X0,X0) ) )
    | ~ spl303_25
    | ~ spl303_39 ),
    inference(superposition,[],[f2128,f2187]) ).

tff(f2128,plain,
    ( ! [X1: $real] : ( c_Boolean_true != neq_real_bool(X1,X1) )
    | ~ spl303_25 ),
    inference(avatar_component_clause,[],[f2127]) ).

tff(f2252,plain,
    ( spl303_50
    | ~ spl303_5
    | ~ spl303_49 ),
    inference(avatar_split_clause,[],[f2247,f2243,f2045,f2249]) ).

tff(f2249,plain,
    ( spl303_50
  <=> ( 1 = int_of_tag(c_sort(sK302,void_P_tag)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_50])]) ).

tff(f2045,plain,
    ( spl303_5
  <=> ( tag_id(void_P) = sK302 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_5])]) ).

tff(f2243,plain,
    ( spl303_49
  <=> ( 1 = int_of_tag(c_sort(tag_id(void_P),void_P_tag)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_49])]) ).

tff(f2247,plain,
    ( ( 1 = int_of_tag(c_sort(sK302,void_P_tag)) )
    | ~ spl303_5
    | ~ spl303_49 ),
    inference(forward_demodulation,[],[f2245,f2047]) ).

tff(f2047,plain,
    ( ( tag_id(void_P) = sK302 )
    | ~ spl303_5 ),
    inference(avatar_component_clause,[],[f2045]) ).

tff(f2245,plain,
    ( ( 1 = int_of_tag(c_sort(tag_id(void_P),void_P_tag)) )
    | ~ spl303_49 ),
    inference(avatar_component_clause,[],[f2243]) ).

tff(f2246,plain,
    spl303_49,
    inference(avatar_split_clause,[],[f947,f2243]) ).

tff(f947,plain,
    1 = int_of_tag(c_sort(tag_id(void_P),void_P_tag)),
    inference(cnf_transformation,[],[f165]) ).

tff(f165,axiom,
    1 = int_of_tag(c_sort(tag_id(void_P),void_P_tag)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_165) ).

tff(f2241,plain,
    ( spl303_48
    | ~ spl303_4
    | ~ spl303_47 ),
    inference(avatar_split_clause,[],[f2236,f2232,f2040,f2238]) ).

tff(f2238,plain,
    ( spl303_48
  <=> ( 1 = int_of_tag(c_sort(sK301,char_P_tag)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_48])]) ).

tff(f2040,plain,
    ( spl303_4
  <=> ( tag_id(char_P) = sK301 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_4])]) ).

tff(f2232,plain,
    ( spl303_47
  <=> ( 1 = int_of_tag(c_sort(tag_id(char_P),char_P_tag)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_47])]) ).

tff(f2236,plain,
    ( ( 1 = int_of_tag(c_sort(sK301,char_P_tag)) )
    | ~ spl303_4
    | ~ spl303_47 ),
    inference(forward_demodulation,[],[f2234,f2042]) ).

tff(f2042,plain,
    ( ( tag_id(char_P) = sK301 )
    | ~ spl303_4 ),
    inference(avatar_component_clause,[],[f2040]) ).

tff(f2234,plain,
    ( ( 1 = int_of_tag(c_sort(tag_id(char_P),char_P_tag)) )
    | ~ spl303_47 ),
    inference(avatar_component_clause,[],[f2232]) ).

tff(f2235,plain,
    spl303_47,
    inference(avatar_split_clause,[],[f946,f2232]) ).

tff(f946,plain,
    1 = int_of_tag(c_sort(tag_id(char_P),char_P_tag)),
    inference(cnf_transformation,[],[f136]) ).

tff(f136,axiom,
    1 = int_of_tag(c_sort(tag_id(char_P),char_P_tag)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_136) ).

tff(f2230,plain,
    spl303_46,
    inference(avatar_split_clause,[],[f242,f2228]) ).

tff(f2228,plain,
    ( spl303_46
  <=> ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_46])]) ).

tff(f242,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f2226,plain,
    spl303_45,
    inference(avatar_split_clause,[],[f235,f2224]) ).

tff(f235,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f2222,plain,
    spl303_44,
    inference(avatar_split_clause,[],[f224,f2220]) ).

tff(f2220,plain,
    ( spl303_44
  <=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_44])]) ).

tff(f224,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f2218,plain,
    ( spl303_43
    | ~ spl303_26
    | ~ spl303_39 ),
    inference(avatar_split_clause,[],[f2210,f2186,f2131,f2216]) ).

tff(f2216,plain,
    ( spl303_43
  <=> ! [X0: c_Boolean] : ( c_Boolean_false = bool_xor(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_43])]) ).

tff(f2131,plain,
    ( spl303_26
  <=> ! [X1: c_Boolean] : ( c_Boolean_true != bool_xor(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_26])]) ).

tff(f2210,plain,
    ( ! [X0: c_Boolean] : ( c_Boolean_false = bool_xor(X0,X0) )
    | ~ spl303_26
    | ~ spl303_39 ),
    inference(trivial_inequality_removal,[],[f2208]) ).

tff(f2208,plain,
    ( ! [X0: c_Boolean] :
        ( ( c_Boolean_true != c_Boolean_true )
        | ( c_Boolean_false = bool_xor(X0,X0) ) )
    | ~ spl303_26
    | ~ spl303_39 ),
    inference(superposition,[],[f2132,f2187]) ).

tff(f2132,plain,
    ( ! [X1: c_Boolean] : ( c_Boolean_true != bool_xor(X1,X1) )
    | ~ spl303_26 ),
    inference(avatar_component_clause,[],[f2131]) ).

tff(f2200,plain,
    spl303_42,
    inference(avatar_split_clause,[],[f1897,f2198]) ).

tff(f2198,plain,
    ( spl303_42
  <=> ! [X0: c_unsorted] : ~ $less(integer_of_int8(c_sort(int8,X0)),-128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_42])]) ).

tff(f1897,plain,
    ! [X0: c_unsorted] : ~ $less(integer_of_int8(c_sort(int8,X0)),-128),
    inference(evaluation,[],[f1633]) ).

tff(f1633,plain,
    ! [X0: c_unsorted] : ~ $less(integer_of_int8(c_sort(int8,X0)),$uminus(128)),
    inference(definition_unfolding,[],[f1004,f1003]) ).

tff(f1003,plain,
    ! [X0: c_unsorted] : ( integer_of_int8(c_sort(int8,X0)) = sK26(X0) ),
    inference(cnf_transformation,[],[f542]) ).

tff(f542,plain,
    ! [X0: c_unsorted] :
      ( ~ $less(127,sK26(X0))
      & ~ $less(sK26(X0),$uminus(128))
      & ( integer_of_int8(c_sort(int8,X0)) = sK26(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f283,f541]) ).

tff(f541,plain,
    ! [X0: c_unsorted] :
      ( ? [X1: $int] :
          ( ~ $less(127,X1)
          & ~ $less(X1,$uminus(128))
          & ( integer_of_int8(c_sort(int8,X0)) = X1 ) )
     => ( ~ $less(127,sK26(X0))
        & ~ $less(sK26(X0),$uminus(128))
        & ( integer_of_int8(c_sort(int8,X0)) = sK26(X0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f283,plain,
    ! [X0: c_unsorted] :
    ? [X1: $int] :
      ( ~ $less(127,X1)
      & ~ $less(X1,$uminus(128))
      & ( integer_of_int8(c_sort(int8,X0)) = X1 ) ),
    inference(rectify,[],[f178]) ).

tff(f178,plain,
    ! [X715: c_unsorted] :
    ? [X716: $int] :
      ( ~ $less(127,X716)
      & ~ $less(X716,$uminus(128))
      & ( integer_of_int8(c_sort(int8,X715)) = X716 ) ),
    inference(theory_normalization,[],[f148]) ).

tff(f148,axiom,
    ! [X715: c_unsorted] :
    ? [X716: $int] :
      ( $lesseq(X716,127)
      & $lesseq($uminus(128),X716)
      & ( integer_of_int8(c_sort(int8,X715)) = X716 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_148) ).

tff(f1004,plain,
    ! [X0: c_unsorted] : ~ $less(sK26(X0),$uminus(128)),
    inference(cnf_transformation,[],[f542]) ).

tff(f2196,plain,
    spl303_41,
    inference(avatar_split_clause,[],[f1634,f2194]) ).

tff(f2194,plain,
    ( spl303_41
  <=> ! [X0: c_unsorted] : ~ $less(2147483647,integer_of_int32(c_sort(int32,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_41])]) ).

tff(f1634,plain,
    ! [X0: c_unsorted] : ~ $less(2147483647,integer_of_int32(c_sort(int32,X0))),
    inference(definition_unfolding,[],[f1008,f1006]) ).

tff(f1008,plain,
    ! [X0: c_unsorted] : ~ $less(2147483647,sK27(X0)),
    inference(cnf_transformation,[],[f544]) ).

tff(f2192,plain,
    spl303_40,
    inference(avatar_split_clause,[],[f1632,f2190]) ).

tff(f2190,plain,
    ( spl303_40
  <=> ! [X0: c_unsorted] : ~ $less(127,integer_of_int8(c_sort(int8,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_40])]) ).

tff(f1632,plain,
    ! [X0: c_unsorted] : ~ $less(127,integer_of_int8(c_sort(int8,X0))),
    inference(definition_unfolding,[],[f1005,f1003]) ).

tff(f1005,plain,
    ! [X0: c_unsorted] : ~ $less(127,sK26(X0)),
    inference(cnf_transformation,[],[f542]) ).

tff(f2188,plain,
    spl303_39,
    inference(avatar_split_clause,[],[f964,f2186]) ).

tff(f964,plain,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_false = X0 )
      | ( c_Boolean_true = X0 ) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_false = X0 )
      | ( c_Boolean_true = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).

tff(f2184,plain,
    spl303_38,
    inference(avatar_split_clause,[],[f951,f2181]) ).

tff(f951,plain,
    2 = integer_of_int32(c_sort(int32,sK6)),
    inference(cnf_transformation,[],[f509]) ).

tff(f2179,plain,
    spl303_37,
    inference(avatar_split_clause,[],[f949,f2176]) ).

tff(f949,plain,
    1 = integer_of_int32(c_sort(int32,sK4)),
    inference(cnf_transformation,[],[f509]) ).

tff(f2174,plain,
    spl303_36,
    inference(avatar_split_clause,[],[f246,f2172]) ).

tff(f2172,plain,
    ( spl303_36
  <=> ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_36])]) ).

tff(f246,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f2170,plain,
    spl303_35,
    inference(avatar_split_clause,[],[f228,f2168]) ).

tff(f2168,plain,
    ( spl303_35
  <=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_35])]) ).

tff(f228,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f2166,plain,
    spl303_34,
    inference(avatar_split_clause,[],[f1932,f2164]) ).

tff(f2164,plain,
    ( spl303_34
  <=> ! [X0: c_type] : ( sK65(X0) = sK123(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_34])]) ).

tff(f1932,plain,
    ! [X0: c_type] : ( sK65(X0) = sK123(X0) ),
    inference(forward_demodulation,[],[f1717,f1670]) ).

tff(f1670,plain,
    ! [X0: c_type] : ( sK64(X0) = sK65(X0) ),
    inference(definition_unfolding,[],[f1131,f1130]) ).

tff(f1131,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK65(X0) ),
    inference(cnf_transformation,[],[f637]) ).

tff(f637,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK65(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f635,f636]) ).

tff(f636,plain,
    ! [X0: c_type] :
      ( ? [X3: c_type] : ( alloc_table(X0) = X3 )
     => ( alloc_table(X0) = sK65(X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f635,plain,
    ! [X0: c_type] :
    ? [X3: c_type] : ( alloc_table(X0) = X3 ),
    inference(rectify,[],[f422]) ).

tff(f422,plain,
    ! [X0: c_type,X1,X2] :
    ? [X3: c_type] : ( alloc_table(X0) = X3 ),
    inference(pure_predicate_removal,[],[f339]) ).

tff(f339,plain,
    ! [X0: c_type,X1: c_unsorted,X2: c_unsorted] :
    ? [X3: c_type] :
      ( ( alloc_extends(c_sort(X3,X1),c_sort(X3,X2))
       => ! [X4: c_unsorted] :
          ? [X5: c_sorted,X6: c_sorted] :
            ( ( valid(X5,X6)
             => ( offset_min(X5,X6) = offset_min(c_sort(X3,X2),X6) ) )
            & ( c_sort(pointer(X0),X4) = X6 )
            & ( c_sort(X3,X1) = X5 ) ) )
      & ( alloc_table(X0) = X3 ) ),
    inference(rectify,[],[f113]) ).

tff(f113,axiom,
    ! [X490: c_type,X491: c_unsorted,X492: c_unsorted] :
    ? [X493: c_type] :
      ( ( alloc_extends(c_sort(X493,X491),c_sort(X493,X492))
       => ! [X494: c_unsorted] :
          ? [X495: c_sorted,X496: c_sorted] :
            ( ( valid(X495,X496)
             => ( offset_min(X495,X496) = offset_min(c_sort(X493,X492),X496) ) )
            & ( c_sort(pointer(X490),X494) = X496 )
            & ( c_sort(X493,X491) = X495 ) ) )
      & ( alloc_table(X490) = X493 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_113) ).

tff(f1717,plain,
    ! [X0: c_type] : ( sK64(X0) = sK123(X0) ),
    inference(definition_unfolding,[],[f1227,f1130]) ).

tff(f1227,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK123(X0) ),
    inference(cnf_transformation,[],[f728]) ).

tff(f728,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK123(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK123])],[f726,f727]) ).

tff(f727,plain,
    ! [X0: c_type] :
      ( ? [X4: c_type] : ( alloc_table(X0) = X4 )
     => ( alloc_table(X0) = sK123(X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f726,plain,
    ! [X0: c_type] :
    ? [X4: c_type] : ( alloc_table(X0) = X4 ),
    inference(rectify,[],[f419]) ).

tff(f419,plain,
    ! [X0: c_type,X1,X2,X3] :
    ? [X4: c_type] : ( alloc_table(X0) = X4 ),
    inference(pure_predicate_removal,[],[f361]) ).

tff(f361,plain,
    ! [X0: c_type,X1: c_unsorted,X2: c_unsorted,X3: c_unsorted] :
    ? [X4: c_type] :
      ( ( alloc_extends_except(c_sort(X4,X1),c_sort(X4,X2),c_sort(pset(X0),X3))
       => ! [X5: c_unsorted] :
          ? [X6: c_sorted,X7: c_sorted] :
            ( ( ( ~ in_pset(X7,c_sort(pset(X0),X3))
                & valid(X6,X7) )
             => ( offset_min(X6,X7) = offset_min(c_sort(X4,X2),X7) ) )
            & ( c_sort(pointer(X0),X5) = X7 )
            & ( c_sort(X4,X1) = X6 ) ) )
      & ( alloc_table(X0) = X4 ) ),
    inference(rectify,[],[f116]) ).

tff(f116,axiom,
    ! [X522: c_type,X523: c_unsorted,X524: c_unsorted,X525: c_unsorted] :
    ? [X526: c_type] :
      ( ( alloc_extends_except(c_sort(X526,X523),c_sort(X526,X524),c_sort(pset(X522),X525))
       => ! [X527: c_unsorted] :
          ? [X528: c_sorted,X529: c_sorted] :
            ( ( ( ~ in_pset(X529,c_sort(pset(X522),X525))
                & valid(X528,X529) )
             => ( offset_min(X528,X529) = offset_min(c_sort(X526,X524),X529) ) )
            & ( c_sort(pointer(X522),X527) = X529 )
            & ( c_sort(X526,X523) = X528 ) ) )
      & ( alloc_table(X522) = X526 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_116) ).

tff(f2162,plain,
    spl303_33,
    inference(avatar_split_clause,[],[f1931,f2160]) ).

tff(f2160,plain,
    ( spl303_33
  <=> ! [X0: c_type] : ( sK65(X0) = sK122(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_33])]) ).

tff(f1931,plain,
    ! [X0: c_type] : ( sK65(X0) = sK122(X0) ),
    inference(forward_demodulation,[],[f1716,f1670]) ).

tff(f1716,plain,
    ! [X0: c_type] : ( sK64(X0) = sK122(X0) ),
    inference(definition_unfolding,[],[f1226,f1130]) ).

tff(f1226,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK122(X0) ),
    inference(cnf_transformation,[],[f725]) ).

tff(f725,plain,
    ! [X0: c_type] : ( alloc_table(X0) = sK122(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK122])],[f723,f724]) ).

tff(f724,plain,
    ! [X0: c_type] :
      ( ? [X4: c_type] : ( alloc_table(X0) = X4 )
     => ( alloc_table(X0) = sK122(X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f723,plain,
    ! [X0: c_type] :
    ? [X4: c_type] : ( alloc_table(X0) = X4 ),
    inference(rectify,[],[f420]) ).

tff(f420,plain,
    ! [X0: c_type,X1,X2,X3] :
    ? [X4: c_type] : ( alloc_table(X0) = X4 ),
    inference(pure_predicate_removal,[],[f360]) ).

tff(f360,plain,
    ! [X0: c_type,X1: c_unsorted,X2: c_unsorted,X3: c_unsorted] :
    ? [X4: c_type] :
      ( ( alloc_extends_except(c_sort(X4,X1),c_sort(X4,X2),c_sort(pset(X0),X3))
       => ! [X5: c_unsorted] :
          ? [X6: c_sorted,X7: c_sorted] :
            ( ( ( ~ in_pset(X7,c_sort(pset(X0),X3))
                & valid(X6,X7) )
             => ( offset_max(X6,X7) = offset_max(c_sort(X4,X2),X7) ) )
            & ( c_sort(pointer(X0),X5) = X7 )
            & ( c_sort(X4,X1) = X6 ) ) )
      & ( alloc_table(X0) = X4 ) ),
    inference(rectify,[],[f117]) ).

tff(f117,axiom,
    ! [X530: c_type,X531: c_unsorted,X532: c_unsorted,X533: c_unsorted] :
    ? [X534: c_type] :
      ( ( alloc_extends_except(c_sort(X534,X531),c_sort(X534,X532),c_sort(pset(X530),X533))
       => ! [X535: c_unsorted] :
          ? [X536: c_sorted,X537: c_sorted] :
            ( ( ( ~ in_pset(X537,c_sort(pset(X530),X533))
                & valid(X536,X537) )
             => ( offset_max(X536,X537) = offset_max(c_sort(X534,X532),X537) ) )
            & ( c_sort(pointer(X530),X535) = X537 )
            & ( c_sort(X534,X531) = X536 ) ) )
      & ( alloc_table(X530) = X534 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_117) ).

tff(f2158,plain,
    spl303_32,
    inference(avatar_split_clause,[],[f1835,f2156]) ).

tff(f2156,plain,
    ( spl303_32
  <=> ! [X1: c_Boolean] : ( c_Boolean_true = bool_or(c_Boolean_true,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_32])]) ).

tff(f1835,plain,
    ! [X1: c_Boolean] : ( c_Boolean_true = bool_or(c_Boolean_true,X1) ),
    inference(equality_resolution,[],[f1055]) ).

tff(f1055,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_or(X0,X1) )
      | ( c_Boolean_true != X0 ) ),
    inference(cnf_transformation,[],[f561]) ).

tff(f2154,plain,
    spl303_31,
    inference(avatar_split_clause,[],[f1834,f2152]) ).

tff(f2152,plain,
    ( spl303_31
  <=> ! [X0: c_Boolean] : ( c_Boolean_true = bool_or(X0,c_Boolean_true) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_31])]) ).

tff(f1834,plain,
    ! [X0: c_Boolean] : ( c_Boolean_true = bool_or(X0,c_Boolean_true) ),
    inference(equality_resolution,[],[f1056]) ).

tff(f1056,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_or(X0,X1) )
      | ( c_Boolean_true != X1 ) ),
    inference(cnf_transformation,[],[f561]) ).

tff(f2150,plain,
    spl303_30,
    inference(avatar_split_clause,[],[f1833,f2147]) ).

tff(f2147,plain,
    ( spl303_30
  <=> ( c_Boolean_true = bool_and(c_Boolean_true,c_Boolean_true) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_30])]) ).

tff(f1833,plain,
    c_Boolean_true = bool_and(c_Boolean_true,c_Boolean_true),
    inference(equality_resolution,[],[f1832]) ).

tff(f1832,plain,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_true = bool_and(X0,c_Boolean_true) )
      | ( c_Boolean_true != X0 ) ),
    inference(equality_resolution,[],[f1053]) ).

tff(f1053,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( c_Boolean_true = bool_and(X0,X1) )
      | ( c_Boolean_true != X1 )
      | ( c_Boolean_true != X0 ) ),
    inference(cnf_transformation,[],[f559]) ).

tff(f2145,plain,
    spl303_29,
    inference(avatar_split_clause,[],[f1831,f2143]) ).

tff(f2143,plain,
    ( spl303_29
  <=> ! [X1: $int] : ( c_Boolean_true = eq_int_bool(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_29])]) ).

tff(f1831,plain,
    ! [X1: $int] : ( c_Boolean_true = eq_int_bool(X1,X1) ),
    inference(equality_resolution,[],[f1034]) ).

tff(f1034,plain,
    ! [X0: $int,X1: $int] :
      ( ( c_Boolean_true = eq_int_bool(X0,X1) )
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f549]) ).

tff(f2141,plain,
    spl303_28,
    inference(avatar_split_clause,[],[f1830,f2139]) ).

tff(f2139,plain,
    ( spl303_28
  <=> ! [X1: $real] : ( c_Boolean_true = eq_real_bool(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_28])]) ).

tff(f1830,plain,
    ! [X1: $real] : ( c_Boolean_true = eq_real_bool(X1,X1) ),
    inference(equality_resolution,[],[f1032]) ).

tff(f1032,plain,
    ! [X0: $real,X1: $real] :
      ( ( c_Boolean_true = eq_real_bool(X0,X1) )
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f548]) ).

tff(f2137,plain,
    spl303_27,
    inference(avatar_split_clause,[],[f1829,f2135]) ).

tff(f1829,plain,
    ! [X1: $int] : ( c_Boolean_true != neq_int_bool(X1,X1) ),
    inference(equality_resolution,[],[f1029]) ).

tff(f1029,plain,
    ! [X0: $int,X1: $int] :
      ( ( X0 != X1 )
      | ( c_Boolean_true != neq_int_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f547]) ).

tff(f2133,plain,
    spl303_26,
    inference(avatar_split_clause,[],[f1828,f2131]) ).

tff(f1828,plain,
    ! [X1: c_Boolean] : ( c_Boolean_true != bool_xor(X1,X1) ),
    inference(equality_resolution,[],[f1027]) ).

tff(f1027,plain,
    ! [X0: c_Boolean,X1: c_Boolean] :
      ( ( X0 != X1 )
      | ( c_Boolean_true != bool_xor(X0,X1) ) ),
    inference(cnf_transformation,[],[f546]) ).

tff(f2129,plain,
    spl303_25,
    inference(avatar_split_clause,[],[f1827,f2127]) ).

tff(f1827,plain,
    ! [X1: $real] : ( c_Boolean_true != neq_real_bool(X1,X1) ),
    inference(equality_resolution,[],[f1025]) ).

tff(f1025,plain,
    ! [X0: $real,X1: $real] :
      ( ( X0 != X1 )
      | ( c_Boolean_true != neq_real_bool(X0,X1) ) ),
    inference(cnf_transformation,[],[f545]) ).

tff(f2125,plain,
    spl303_24,
    inference(avatar_split_clause,[],[f1826,f2123]) ).

tff(f2123,plain,
    ( spl303_24
  <=> ! [X1: $int] : ( 0 = bw_and(0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_24])]) ).

tff(f1826,plain,
    ! [X1: $int] : ( 0 = bw_and(0,X1) ),
    inference(equality_resolution,[],[f1015]) ).

tff(f1015,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != X0 )
      | ( 0 = bw_and(X0,X1) ) ),
    inference(cnf_transformation,[],[f433]) ).

tff(f433,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( 0 != X1 )
        & ( 0 != X0 ) )
      | ( 0 = bw_and(X0,X1) ) ),
    inference(ennf_transformation,[],[f291]) ).

tff(f291,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != bw_and(X0,X1) )
     => ( ( 0 != X1 )
        & ( 0 != X0 ) ) ),
    inference(rectify,[],[f102]) ).

tff(f102,axiom,
    ! [X463: $int,X464: $int] :
      ( ( 0 != bw_and(X463,X464) )
     => ( ( 0 != X464 )
        & ( 0 != X463 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_102) ).

tff(f2121,plain,
    spl303_23,
    inference(avatar_split_clause,[],[f1825,f2119]) ).

tff(f2119,plain,
    ( spl303_23
  <=> ! [X0: $int] : ( 0 = bw_and(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_23])]) ).

tff(f1825,plain,
    ! [X0: $int] : ( 0 = bw_and(X0,0) ),
    inference(equality_resolution,[],[f1016]) ).

tff(f1016,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 != X1 )
      | ( 0 = bw_and(X0,X1) ) ),
    inference(cnf_transformation,[],[f433]) ).

tff(f2117,plain,
    spl303_22,
    inference(avatar_split_clause,[],[f1670,f2115]) ).

tff(f2113,plain,
    spl303_21,
    inference(avatar_split_clause,[],[f1081,f2111]) ).

tff(f2111,plain,
    ( spl303_21
  <=> ! [X0: $int,X1: $int] : ~ $less(X1,sK36(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_21])]) ).

tff(f1081,plain,
    ! [X0: $int,X1: $int] : ~ $less(X1,sK36(X0,X1)),
    inference(cnf_transformation,[],[f581]) ).

tff(f2109,plain,
    spl303_20,
    inference(avatar_split_clause,[],[f1080,f2107]) ).

tff(f2107,plain,
    ( spl303_20
  <=> ! [X0: $int,X1: $int] : ~ $less(X0,sK36(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_20])]) ).

tff(f1080,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,sK36(X0,X1)),
    inference(cnf_transformation,[],[f581]) ).

tff(f2105,plain,
    spl303_19,
    inference(avatar_split_clause,[],[f1078,f2103]) ).

tff(f2103,plain,
    ( spl303_19
  <=> ! [X0: $int,X1: $int] : ~ $less(sK35(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_19])]) ).

tff(f1078,plain,
    ! [X0: $int,X1: $int] : ~ $less(sK35(X0,X1),X1),
    inference(cnf_transformation,[],[f579]) ).

tff(f2101,plain,
    spl303_18,
    inference(avatar_split_clause,[],[f1077,f2099]) ).

tff(f2099,plain,
    ( spl303_18
  <=> ! [X0: $int,X1: $int] : ~ $less(sK35(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_18])]) ).

tff(f1077,plain,
    ! [X0: $int,X1: $int] : ~ $less(sK35(X0,X1),X0),
    inference(cnf_transformation,[],[f579]) ).

tff(f2097,plain,
    spl303_17,
    inference(avatar_split_clause,[],[f1075,f2095]) ).

tff(f2095,plain,
    ( spl303_17
  <=> ! [X0: $real,X1: $real] : ~ $less(X1,sK34(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_17])]) ).

tff(f1075,plain,
    ! [X0: $real,X1: $real] : ~ $less(X1,sK34(X0,X1)),
    inference(cnf_transformation,[],[f577]) ).

tff(f2093,plain,
    spl303_16,
    inference(avatar_split_clause,[],[f1074,f2091]) ).

tff(f2091,plain,
    ( spl303_16
  <=> ! [X0: $real,X1: $real] : ~ $less(X0,sK34(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_16])]) ).

tff(f1074,plain,
    ! [X0: $real,X1: $real] : ~ $less(X0,sK34(X0,X1)),
    inference(cnf_transformation,[],[f577]) ).

tff(f2089,plain,
    spl303_15,
    inference(avatar_split_clause,[],[f1072,f2087]) ).

tff(f2087,plain,
    ( spl303_15
  <=> ! [X0: $real,X1: $real] : ~ $less(sK33(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_15])]) ).

tff(f1072,plain,
    ! [X0: $real,X1: $real] : ~ $less(sK33(X0,X1),X1),
    inference(cnf_transformation,[],[f575]) ).

tff(f2085,plain,
    spl303_14,
    inference(avatar_split_clause,[],[f1071,f2083]) ).

tff(f2083,plain,
    ( spl303_14
  <=> ! [X0: $real,X1: $real] : ~ $less(sK33(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_14])]) ).

tff(f1071,plain,
    ! [X0: $real,X1: $real] : ~ $less(sK33(X0,X1),X0),
    inference(cnf_transformation,[],[f575]) ).

tff(f2081,plain,
    spl303_13,
    inference(avatar_split_clause,[],[f954,f2079]) ).

tff(f2079,plain,
    ( spl303_13
  <=> ! [X0: $real] : ( log(exp(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_13])]) ).

tff(f954,plain,
    ! [X0: $real] : ( log(exp(X0)) = X0 ),
    inference(cnf_transformation,[],[f254]) ).

tff(f254,plain,
    ! [X0: $real] : ( log(exp(X0)) = X0 ),
    inference(rectify,[],[f42]) ).

tff(f42,axiom,
    ! [X78: $real] : ( log(exp(X78)) = X78 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_42) ).

tff(f2077,plain,
    spl303_12,
    inference(avatar_split_clause,[],[f252,f2075]) ).

tff(f2075,plain,
    ( spl303_12
  <=> ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_12])]) ).

tff(f252,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f2073,plain,
    spl303_11,
    inference(avatar_split_clause,[],[f244,f2071]) ).

tff(f2071,plain,
    ( spl303_11
  <=> ! [X0: $real] : ( $sum(X0,0.0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_11])]) ).

tff(f244,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f2069,plain,
    spl303_10,
    inference(avatar_split_clause,[],[f238,f2067]) ).

tff(f238,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(theory_axiom_149,[]) ).

tff(f2065,plain,
    spl303_9,
    inference(avatar_split_clause,[],[f237,f2063]) ).

tff(f2063,plain,
    ( spl303_9
  <=> ! [X0: $int] : ( $product(X0,1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_9])]) ).

tff(f237,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f2061,plain,
    spl303_8,
    inference(avatar_split_clause,[],[f234,f2059]) ).

tff(f2059,plain,
    ( spl303_8
  <=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_8])]) ).

tff(f234,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f2057,plain,
    spl303_7,
    inference(avatar_split_clause,[],[f226,f2055]) ).

tff(f2055,plain,
    ( spl303_7
  <=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_7])]) ).

tff(f226,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f2053,plain,
    spl303_6,
    inference(avatar_split_clause,[],[f1824,f2050]) ).

tff(f2050,plain,
    ( spl303_6
  <=> ( c_Boolean_true = bool_not(c_Boolean_false) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_6])]) ).

tff(f1824,plain,
    c_Boolean_true = bool_not(c_Boolean_false),
    inference(equality_resolution,[],[f972]) ).

tff(f972,plain,
    ! [X0: c_Boolean] :
      ( ( c_Boolean_true = bool_not(X0) )
      | ( c_Boolean_false != X0 ) ),
    inference(cnf_transformation,[],[f510]) ).

tff(f2048,plain,
    spl303_5,
    inference(avatar_split_clause,[],[f1506,f2045]) ).

tff(f1506,plain,
    tag_id(void_P) = sK302,
    inference(cnf_transformation,[],[f944]) ).

tff(f2043,plain,
    spl303_4,
    inference(avatar_split_clause,[],[f1504,f2040]) ).

tff(f1504,plain,
    tag_id(char_P) = sK301,
    inference(cnf_transformation,[],[f942]) ).

tff(f2038,plain,
    ~ spl303_3,
    inference(avatar_split_clause,[],[f945,f2035]) ).

tff(f2035,plain,
    ( spl303_3
  <=> ( c_Boolean_true = c_Boolean_false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl303_3])]) ).

tff(f945,plain,
    c_Boolean_true != c_Boolean_false,
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    c_Boolean_true != c_Boolean_false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(f2033,plain,
    spl303_2,
    inference(avatar_split_clause,[],[f247,f2031]) ).

tff(f247,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f2029,plain,
    spl303_1,
    inference(avatar_split_clause,[],[f229,f2027]) ).

tff(f229,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI758_1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 13:11:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (19170)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (19173)WARNING: value z3 for option sas not known
% 0.15/0.38  % (19172)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (19171)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (19174)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (19173)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (19175)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (19176)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (19177)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.41  % (19172)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (19172)Terminated due to inappropriate strategy.
% 0.21/0.41  % (19172)------------------------------
% 0.21/0.41  % (19172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (19172)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (19172)Memory used [KB]: 2041
% 0.21/0.41  % (19172)Time elapsed: 0.025 s
% 0.21/0.41  % (19172)Instructions burned: 54 (million)
% 0.21/0.41  % (19172)------------------------------
% 0.21/0.41  % (19172)------------------------------
% 0.21/0.41  % (19171)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (19171)Terminated due to inappropriate strategy.
% 0.21/0.41  % (19171)------------------------------
% 0.21/0.41  % (19171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (19171)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (19171)Memory used [KB]: 2041
% 0.21/0.41  % (19171)Time elapsed: 0.025 s
% 0.21/0.41  % (19171)Instructions burned: 55 (million)
% 0.21/0.41  % (19171)------------------------------
% 0.21/0.41  % (19171)------------------------------
% 0.21/0.41  % (19174)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (19174)Terminated due to inappropriate strategy.
% 0.21/0.41  % (19174)------------------------------
% 0.21/0.41  % (19174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (19174)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (19174)Memory used [KB]: 2185
% 0.21/0.41  % (19174)Time elapsed: 0.026 s
% 0.21/0.41  % (19174)Instructions burned: 57 (million)
% 0.21/0.41  % (19174)------------------------------
% 0.21/0.41  % (19174)------------------------------
% 0.21/0.41  % (19178)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.41  % (19179)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.42  % (19180)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.44  % (19178)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.44  % (19178)Terminated due to inappropriate strategy.
% 0.21/0.44  % (19178)------------------------------
% 0.21/0.44  % (19178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44  % (19178)Termination reason: Inappropriate
% 0.21/0.44  
% 0.21/0.44  % (19178)Memory used [KB]: 2128
% 0.21/0.44  % (19178)Time elapsed: 0.025 s
% 0.21/0.44  % (19178)Instructions burned: 56 (million)
% 0.21/0.44  % (19178)------------------------------
% 0.21/0.44  % (19178)------------------------------
% 0.21/0.44  % (19175)First to succeed.
% 0.21/0.44  % (19181)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.21/0.44  % (19180)Also succeeded, but the first one will report.
% 0.21/0.44  % (19177)Also succeeded, but the first one will report.
% 0.21/0.44  % (19182)WARNING: value z3 for option sas not known
% 0.21/0.45  % (19182)ott-11_10:1_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:fsd=off:fde=none:gsp=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sas=z3:sp=occurrence_186 on theBenchmark for (186ds/0Mi)
% 0.21/0.45  % (19183)dis-3_1_acc=on:anc=none:bd=preordered:fsd=off:fsr=off:fde=none:gs=on:gsem=on:lcm=predicate:lma=on:msp=off:nm=4:nicw=on:sims=off:sp=weighted_frequency:urr=ec_only_180 on theBenchmark for (180ds/0Mi)
% 0.21/0.45  % (19175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19170"
% 0.21/0.45  % (19175)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (19175)------------------------------
% 0.21/0.46  % (19175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.46  % (19175)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (19175)Memory used [KB]: 2749
% 0.21/0.46  % (19175)Time elapsed: 0.069 s
% 0.21/0.46  % (19175)Instructions burned: 127 (million)
% 0.21/0.46  % (19170)Success in time 0.114 s
%------------------------------------------------------------------------------