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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW482_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:30:39 PM UTC 2026

% Result   : Theorem 11.95s 2.16s
% Output   : Refutation 12.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  62 unt;   0 typ;   0 def)
%            Number of atoms       :   78 (  67 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   47 (  39   ~;   5   |;   0   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-2 aty)
%            Number of functors    :  169 ( 169 usr;  19 con; 0-5 aty)
%            Number of variables   :   46 (  46   !;   0   ?;  46   :)

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

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

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

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

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    inverse_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1,type,
    abs_abs: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2,type,
    times_times: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_4,type,
    bit0: int > int ).

tff(func_def_5,type,
    bit1: int > int ).

tff(func_def_6,type,
    pls: int ).

tff(func_def_7,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_8,type,
    root: nat > fun(real,real) ).

tff(func_def_9,type,
    sqrt: fun(real,real) ).

tff(func_def_10,type,
    power_power: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_11,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_12,type,
    fFalse: bool ).

tff(func_def_13,type,
    fTrue: bool ).

tff(func_def_14,type,
    y: real ).

tff(func_def_15,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_16,type,
    sF1: 
      !>[X0: $tType] : X0 ).

tff(func_def_17,type,
    sF2: int ).

tff(func_def_18,type,
    sF3: real > real ).

tff(func_def_19,type,
    sF4: int ).

tff(func_def_20,type,
    sF5: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > X0 ) ).

tff(func_def_21,type,
    sF6: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_22,type,
    sF7: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_23,type,
    sF8: 
      !>[X0: $tType] : ( ( nat * X0 * nat ) > X0 ) ).

tff(func_def_24,type,
    sF9: ( nat * nat ) > nat ).

tff(func_def_25,type,
    sF10: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_26,type,
    sF11: ( int * int ) > int ).

tff(func_def_27,type,
    sF12: int > int ).

tff(func_def_28,type,
    sF13: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_29,type,
    sF14: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_30,type,
    sF15: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_31,type,
    sF16: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * fun(X0,X1) ) > X1 ) ).

tff(func_def_32,type,
    sF17: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_33,type,
    sF18: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_34,type,
    sF19: 
      !>[X0: $tType] : ( ( X0 * nat * X0 ) > X0 ) ).

tff(func_def_35,type,
    sF20: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_36,type,
    sF21: ( real * real ) > real ).

tff(func_def_37,type,
    sF22: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_38,type,
    sF23: real > real ).

tff(func_def_39,type,
    sF24: real ).

tff(func_def_40,type,
    sF25: int > nat ).

tff(func_def_41,type,
    sF26: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_42,type,
    sF27: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_43,type,
    sF28: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_44,type,
    sF29: int > nat ).

tff(func_def_45,type,
    sF30: 
      !>[X0: $tType] : X0 ).

tff(func_def_46,type,
    sF31: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_47,type,
    sF32: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_48,type,
    sF33: nat ).

tff(func_def_49,type,
    sF34: ( real * real ) > real ).

tff(func_def_50,type,
    sF35: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_51,type,
    sF36: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_52,type,
    sF37: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_53,type,
    sF38: 
      !>[X0: $tType] : ( ( X0 * X0 * nat ) > X0 ) ).

tff(func_def_54,type,
    sF39: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > X0 ) ).

tff(func_def_55,type,
    sF40: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_56,type,
    sF41: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_57,type,
    sF42: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_58,type,
    sF43: ( real * real ) > real ).

tff(func_def_59,type,
    sF44: 
      !>[X0: $tType] : ( ( int * int ) > X0 ) ).

tff(func_def_60,type,
    sF45: fun(real,real) > real ).

tff(func_def_61,type,
    sF46: real ).

tff(func_def_62,type,
    sF47: 
      !>[X0: $tType] : ( ( X0 * nat * X0 ) > X0 ) ).

tff(func_def_63,type,
    sF48: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > X0 ) ).

tff(func_def_64,type,
    sF49: ( real * nat ) > real ).

tff(func_def_65,type,
    sF50: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_66,type,
    sF51: nat ).

tff(func_def_67,type,
    sF52: int ).

tff(func_def_68,type,
    sF53: int ).

tff(func_def_69,type,
    sF54: int ).

tff(func_def_70,type,
    sF55: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_71,type,
    sF56: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_72,type,
    sF57: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_73,type,
    sF58: real > real ).

tff(func_def_74,type,
    sF59: 
      !>[X0: $tType] : X0 ).

tff(func_def_75,type,
    sF60: int > int ).

tff(func_def_76,type,
    sF61: real > real ).

tff(func_def_77,type,
    sF62: int > int ).

tff(func_def_78,type,
    sF63: 
      !>[X0: $tType] : ( ( X0 * nat * X0 ) > X0 ) ).

tff(func_def_79,type,
    sF64: ( fun(real,real) * real ) > real ).

tff(func_def_80,type,
    sF65: 
      !>[X0: $tType] : ( ( X0 * nat * X0 ) > X0 ) ).

tff(func_def_81,type,
    sF66: real ).

tff(func_def_82,type,
    sF67: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_83,type,
    sF68: 
      !>[X0: $tType] : X0 ).

tff(func_def_84,type,
    sF69: int > int ).

tff(func_def_85,type,
    sF70: int > int ).

tff(func_def_86,type,
    sF71: int > real ).

tff(func_def_87,type,
    sF72: int > real ).

tff(func_def_88,type,
    sF73: ( int * nat ) > int ).

tff(func_def_89,type,
    sF74: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > X0 ) ).

tff(func_def_90,type,
    sF75: ( nat * int * nat ) > int ).

tff(func_def_91,type,
    sF76: ( nat * nat ) > nat ).

tff(func_def_92,type,
    sF77: real > real ).

tff(func_def_93,type,
    sF78: ( nat * nat ) > nat ).

tff(func_def_94,type,
    sF79: ( real * nat ) > real ).

tff(func_def_95,type,
    sF80: real > real ).

tff(func_def_96,type,
    sF81: ( real * real * real ) > real ).

tff(func_def_97,type,
    sF82: real > real ).

tff(func_def_98,type,
    sF83: nat > nat ).

tff(func_def_99,type,
    sF84: ( real * real ) > real ).

tff(func_def_100,type,
    sF85: real > real ).

tff(func_def_101,type,
    sF86: ( int * real ) > real ).

tff(func_def_102,type,
    sF87: ( real * real ) > real ).

tff(func_def_103,type,
    sF88: int ).

tff(func_def_104,type,
    sF89: real > real ).

tff(func_def_105,type,
    sF90: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_106,type,
    sF91: real ).

tff(func_def_107,type,
    sF92: ( real * int ) > real ).

tff(func_def_108,type,
    sF93: real > real ).

tff(func_def_109,type,
    sF94: real > real ).

tff(func_def_110,type,
    sF95: ( int * real ) > real ).

tff(func_def_111,type,
    sF96: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_112,type,
    sF97: real > real ).

tff(func_def_113,type,
    sF98: int > int ).

tff(func_def_114,type,
    sF99: ( int * int ) > int ).

tff(func_def_115,type,
    sF100: int > int ).

tff(func_def_116,type,
    sF101: ( int * int ) > int ).

tff(func_def_117,type,
    sF102: real > real ).

tff(func_def_118,type,
    sF103: ( real * real * real ) > real ).

tff(func_def_119,type,
    sF104: real > real ).

tff(func_def_120,type,
    sF105: int > int ).

tff(func_def_121,type,
    sF106: real > real ).

tff(func_def_122,type,
    sF107: real > real ).

tff(func_def_123,type,
    sF108: nat > real ).

tff(func_def_124,type,
    sF109: real > real ).

tff(func_def_125,type,
    sF110: real > real ).

tff(func_def_126,type,
    sF111: ( real * real ) > real ).

tff(func_def_127,type,
    sF112: ( real * real ) > real ).

tff(func_def_128,type,
    sF113: ( int * nat ) > int ).

tff(func_def_129,type,
    sF114: ( int * int ) > int ).

tff(func_def_130,type,
    sF115: nat > nat ).

tff(func_def_131,type,
    sF116: real > real ).

tff(func_def_132,type,
    sF117: real > real ).

tff(func_def_133,type,
    sF118: real > real ).

tff(func_def_134,type,
    sF119: ( nat * real * real ) > real ).

tff(func_def_135,type,
    sF120: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_136,type,
    sF121: ( real * real ) > real ).

tff(func_def_137,type,
    sF122: int > int ).

tff(func_def_138,type,
    sF123: ( int * int * nat ) > int ).

tff(func_def_139,type,
    sF124: ( int * int * nat ) > int ).

tff(func_def_140,type,
    sF125: ( real * real ) > real ).

tff(func_def_141,type,
    sF126: ( real * real ) > real ).

tff(func_def_142,type,
    sF127: ( real * real * real ) > real ).

tff(func_def_143,type,
    sF128: ( nat * real ) > real ).

tff(func_def_144,type,
    sF129: real > real ).

tff(func_def_145,type,
    sF130: real > real ).

tff(func_def_146,type,
    sF131: ( real * real ) > real ).

tff(func_def_147,type,
    sF132: int > int ).

tff(func_def_148,type,
    sF133: ( real * real ) > real ).

tff(func_def_149,type,
    sF134: ( real * real * real * nat ) > real ).

tff(func_def_150,type,
    sF135: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_151,type,
    sF136: ( real * real ) > real ).

tff(func_def_152,type,
    sF137: real > real ).

tff(func_def_153,type,
    sF138: ( real * real ) > real ).

tff(func_def_154,type,
    sF139: ( real * nat * real ) > real ).

tff(func_def_155,type,
    sF140: nat > real ).

tff(func_def_156,type,
    sF141: nat > real ).

tff(func_def_157,type,
    sF142: int > int ).

tff(func_def_158,type,
    sF143: real > real ).

tff(func_def_159,type,
    sF144: real > real ).

tff(func_def_160,type,
    sF145: real > real ).

tff(func_def_161,type,
    sF146: int > int ).

tff(func_def_162,type,
    sF147: ( int * int ) > int ).

tff(func_def_163,type,
    sF148: real > real ).

tff(func_def_164,type,
    sF149: real ).

tff(func_def_165,type,
    sF150: real ).

tff(func_def_166,type,
    sF151: ( real * real * real ) > real ).

tff(func_def_167,type,
    sF152: real > real ).

tff(pred_def_1,type,
    number: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    number_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    number_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    no_zero_divisors: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    field_inverse_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ring_n68954251visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ring_11004092258visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    divisi14063676e_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    linord1117847801e_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_22,type,
    pp: bool > $o ).

tff(f9,axiom,
    ! [X0: real,X1: real] :
      ( ( aa(real,real,sqrt,X1) = aa(real,real,sqrt,X0) )
    <=> ( X1 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_real__sqrt__eq__iff) ).

tff(f17,axiom,
    ! [X0: nat,X1: real] : ( aa(real,real,sqrt,power_power(real,X1,X0)) = power_power(real,aa(real,real,sqrt,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_real__sqrt__power) ).

tff(f18,axiom,
    ! [X0: real] : ( aa(real,real,sqrt,power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = abs_abs(real,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_real__sqrt__abs) ).

tff(f29,axiom,
    ! [X0: int,X1: int] : ( times_times(int,bit0(X1),X0) = bit0(times_times(int,X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_mult__Bit0) ).

tff(f39,axiom,
    ! [X0: real] : ( aa(real,real,sqrt,times_times(real,X0,X0)) = abs_abs(real,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_real__sqrt__abs2) ).

tff(f47,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ! [X1: int,X2: int] : ( number_number_of(X0,times_times(int,X2,X1)) = times_times(X0,number_number_of(X0,X2),number_number_of(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_number__of__mult) ).

tff(f55,axiom,
    ! [X0: real,X1: real] : ( aa(real,real,sqrt,times_times(real,X1,X0)) = times_times(real,aa(real,real,sqrt,X1),aa(real,real,sqrt,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_real__sqrt__mult) ).

tff(f56,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_Pls__def) ).

tff(f63,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__numeral__1) ).

tff(f82,axiom,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_number__of__is__id) ).

tff(f111,axiom,
    number_ring(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).

tff(f140,axiom,
    number_ring(real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef_Oreal___Int_Onumber__ring) ).

tff(f146,conjecture,
    aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(pls))))) = aa(real,real,sqrt,power_power(real,number_number_of(real,bit0(bit1(pls))),number_number_of(nat,bit0(bit1(pls))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f147,negated_conjecture,
    ( ( ~ aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(pls))))) ) = aa(real,real,sqrt,power_power(real,number_number_of(real,bit0(bit1(pls))),number_number_of(nat,bit0(bit1(pls))))) ),
    inference(negated_conjecture,[status(cth)],[f146]) ).

tff(f148,plain,
    aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(pls))))) != aa(real,real,sqrt,power_power(real,number_number_of(real,bit0(bit1(pls))),number_number_of(nat,bit0(bit1(pls))))),
    inference(flattening,[],[f147]) ).

tff(f177,plain,
    ! [X0: $tType] :
      ( ! [X1: int,X2: int] : ( number_number_of(X0,times_times(int,X2,X1)) = times_times(X0,number_number_of(X0,X2),number_number_of(X0,X1)) )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f47]) ).

tff(f192,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f63]) ).

tff(f240,plain,
    ! [X0: real,X1: real] :
      ( ( aa(real,real,sqrt,X1) != aa(real,real,sqrt,X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f250,plain,
    ! [X0: nat,X1: real] : ( aa(real,real,sqrt,power_power(real,X1,X0)) = power_power(real,aa(real,real,sqrt,X1),X0) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f251,plain,
    ! [X0: real] : ( aa(real,real,sqrt,power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = abs_abs(real,X0) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f264,plain,
    ! [X0: int,X1: int] : ( times_times(int,bit0(X1),X0) = bit0(times_times(int,X1,X0)) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f277,plain,
    ! [X0: real] : ( abs_abs(real,X0) = aa(real,real,sqrt,times_times(real,X0,X0)) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f294,plain,
    ! [X0: $tType,X2: int,X1: int] :
      ( ~ number_ring(X0)
      | ( times_times(X0,number_number_of(X0,X2),number_number_of(X0,X1)) = number_number_of(X0,times_times(int,X2,X1)) ) ),
    inference(cnf_transformation,[],[f177]) ).

tff(f310,plain,
    ! [X0: real,X1: real] : ( aa(real,real,sqrt,times_times(real,X1,X0)) = times_times(real,aa(real,real,sqrt,X1),aa(real,real,sqrt,X0)) ),
    inference(cnf_transformation,[],[f55]) ).

tff(f311,plain,
    pls = zero_zero(int),
    inference(cnf_transformation,[],[f56]) ).

tff(f318,plain,
    ! [X0: $tType,X1: X0] :
      ( ~ number_ring(X0)
      | ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
    inference(cnf_transformation,[],[f192]) ).

tff(f342,plain,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    inference(cnf_transformation,[],[f82]) ).

tff(f371,plain,
    number_ring(int),
    inference(cnf_transformation,[],[f111]) ).

tff(f400,plain,
    number_ring(real),
    inference(cnf_transformation,[],[f140]) ).

tff(f406,plain,
    aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(pls))))) != aa(real,real,sqrt,power_power(real,number_number_of(real,bit0(bit1(pls))),number_number_of(nat,bit0(bit1(pls))))),
    inference(cnf_transformation,[],[f148]) ).

tff(f547,plain,
    ! [X0: real] : ( abs_abs(real,X0) = aa(real,real,sqrt,power_power(real,X0,number_number_of(nat,bit0(bit1(zero_zero(int)))))) ),
    inference(forward_demodulation,[],[f251,f311]) ).

tff(f609,plain,
    aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))) != aa(real,real,sqrt,power_power(real,number_number_of(real,bit0(bit1(zero_zero(int)))),number_number_of(nat,bit0(bit1(zero_zero(int)))))),
    inference(superposition,[],[f406,f311]) ).

tff(f610,plain,
    aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))) != abs_abs(real,number_number_of(real,bit0(bit1(zero_zero(int))))),
    inference(forward_demodulation,[],[f609,f547]) ).

tff(f655,plain,
    ! [X0: int] : ( times_times(int,number_number_of(int,bit1(pls)),X0) = X0 ),
    inference(resolution,[],[f318,f371]) ).

tff(f658,plain,
    ! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
    inference(forward_demodulation,[],[f655,f342]) ).

tff(f661,plain,
    ! [X0: int] : ( times_times(int,bit1(zero_zero(int)),X0) = X0 ),
    inference(forward_demodulation,[],[f658,f311]) ).

tff(f666,plain,
    aa(real,real,sqrt,abs_abs(real,number_number_of(real,bit0(bit1(zero_zero(int)))))) != aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))),
    inference(unit_resulting_resolution,[],[f240,f610]) ).

tff(f734,plain,
    ! [X0: real] : ( abs_abs(real,aa(real,real,sqrt,X0)) = aa(real,real,sqrt,aa(real,real,sqrt,power_power(real,X0,number_number_of(nat,bit0(bit1(zero_zero(int))))))) ),
    inference(superposition,[],[f547,f250]) ).

tff(f740,plain,
    ! [X0: real] : ( abs_abs(real,aa(real,real,sqrt,X0)) = aa(real,real,sqrt,abs_abs(real,X0)) ),
    inference(forward_demodulation,[],[f734,f547]) ).

tff(f918,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))) != aa(real,real,sqrt,aa(real,real,sqrt,abs_abs(real,number_number_of(real,bit0(bit1(zero_zero(int))))))),
    inference(unit_resulting_resolution,[],[f240,f666]) ).

tff(f920,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))) != aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))),
    inference(forward_demodulation,[],[f918,f740]) ).

tff(f922,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))),
    inference(forward_demodulation,[],[f920,f740]) ).

tff(f953,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))),
    inference(unit_resulting_resolution,[],[f240,f922]) ).

tff(f955,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))),
    inference(forward_demodulation,[],[f953,f740]) ).

tff(f974,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))),
    inference(unit_resulting_resolution,[],[f240,f955]) ).

tff(f976,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))),
    inference(forward_demodulation,[],[f974,f740]) ).

tff(f989,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))))),
    inference(unit_resulting_resolution,[],[f240,f976]) ).

tff(f991,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))),
    inference(forward_demodulation,[],[f989,f740]) ).

tff(f1017,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))))),
    inference(unit_resulting_resolution,[],[f240,f991]) ).

tff(f1019,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))),
    inference(forward_demodulation,[],[f1017,f740]) ).

tff(f1055,plain,
    ! [X0: int,X1: int] : ( times_times(real,number_number_of(real,X0),number_number_of(real,X1)) = number_number_of(real,times_times(int,X0,X1)) ),
    inference(resolution,[],[f294,f400]) ).

tff(f1166,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))))))),
    inference(unit_resulting_resolution,[],[f240,f1019]) ).

tff(f1168,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))),
    inference(forward_demodulation,[],[f1166,f740]) ).

tff(f1341,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))))))),
    inference(unit_resulting_resolution,[],[f240,f1168]) ).

tff(f1343,plain,
    aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int)))))))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))),
    inference(forward_demodulation,[],[f1341,f740]) ).

tff(f1537,plain,
    ! [X0: int] : ( bit0(X0) = times_times(int,bit0(bit1(zero_zero(int))),X0) ),
    inference(superposition,[],[f264,f661]) ).

tff(f2070,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit0(bit1(zero_zero(int))))))))))))))),
    inference(unit_resulting_resolution,[],[f240,f1343]) ).

tff(f2072,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,times_times(int,bit0(bit1(zero_zero(int))),bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2070,f1537]) ).

tff(f2074,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,number_number_of(real,bit0(bit1(zero_zero(int)))),number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2072,f1055]) ).

tff(f2076,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))),aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2074,f310]) ).

tff(f2078,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))),aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2076,f310]) ).

tff(f2080,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2078,f310]) ).

tff(f2082,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2080,f310]) ).

tff(f2084,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2082,f310]) ).

tff(f2086,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2084,f310]) ).

tff(f2088,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2086,f310]) ).

tff(f2090,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2088,f310]) ).

tff(f2092,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != aa(real,real,sqrt,times_times(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))),aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int))))))))))))))),
    inference(forward_demodulation,[],[f2090,f310]) ).

tff(f2094,plain,
    aa(real,real,sqrt,abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))) != abs_abs(real,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,aa(real,real,sqrt,number_number_of(real,bit0(bit1(zero_zero(int)))))))))))))),
    inference(forward_demodulation,[],[f2092,f277]) ).

tff(f2096,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2094,f740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW482_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n026.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 14:17:12 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  Running first-order theorem proving
% 0.10/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/1.43  % (3870407)Detected formulas, will run a generic FOF schedule.
% 6.57/1.43  % (3870418)dis-21_1_sil=8000:lcm=predicate:random_seed=2500303474:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.57/1.43  % (3870414)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2762075083:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.57/1.43  % (3870412)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3190431341:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.57/1.43  % (3870416)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3368533442:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.57/1.43  % (3870415)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=441937403:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.57/1.43  % (3870413)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1730796627:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.57/1.43  % (3870415)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.57/1.43  % (3870414)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.57/1.43  % (3870417)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1878464528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.57/1.43  % (3870418)Instruction limit reached! 
% 6.57/1.43  % (3870418)------------------------------
% 6.57/1.43  % (3870418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.43  % (3870418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.43  % (3870418)CaDiCaL version: 2.1.3
% 6.57/1.43  % (3870418)Termination reason: Instruction limit
% 6.57/1.43  % (3870418)Termination phase: Saturation
% 6.57/1.43  % (3870418)Time elapsed: 0.037 s
% 6.57/1.43  % (3870418)Peak memory usage: 91 MB
% 6.57/1.43  % (3870418)Instructions burned: 132 (million)
% 6.57/1.43  % (3870416)Instruction limit reached! 
% 6.57/1.43  % (3870416)------------------------------
% 6.57/1.43  % (3870416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.43  % (3870416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.43  % (3870416)CaDiCaL version: 2.1.3
% 6.57/1.43  % (3870416)Termination reason: Instruction limit
% 6.57/1.43  % (3870416)Termination phase: Saturation
% 6.57/1.43  % (3870416)Time elapsed: 0.062 s
% 6.57/1.43  % (3870416)Peak memory usage: 88 MB
% 6.57/1.43  % (3870416)Instructions burned: 121 (million)
% 6.57/1.43  % (3870415)Instruction limit reached! 
% 6.57/1.43  % (3870415)------------------------------
% 6.57/1.43  % (3870415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.43  % (3870415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.43  % (3870415)CaDiCaL version: 2.1.3
% 6.57/1.43  % (3870415)Termination reason: Instruction limit
% 6.57/1.43  % (3870415)Termination phase: Saturation
% 6.57/1.43  % (3870415)Time elapsed: 0.065 s
% 6.57/1.43  % (3870415)Peak memory usage: 89 MB
% 6.57/1.43  % (3870415)Instructions burned: 109 (million)
% 6.57/1.43  % (3870417)Instruction limit reached! 
% 6.57/1.43  % (3870417)------------------------------
% 6.57/1.43  % (3870417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.43  % (3870417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.43  % (3870417)CaDiCaL version: 2.1.3
% 6.57/1.43  % (3870417)Termination reason: Instruction limit
% 6.57/1.43  % (3870417)Termination phase: Saturation
% 6.57/1.43  % (3870417)Time elapsed: 0.088 s
% 6.57/1.43  % (3870417)Peak memory usage: 89 MB
% 6.57/1.43  % (3870417)Instructions burned: 140 (million)
% 6.57/1.43  % (3870426)lrs+10_1_sil=8000:sp=occurrence:random_seed=126933610:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.57/1.43  % (3870426)Instruction limit reached! 
% 6.57/1.43  % (3870426)------------------------------
% 6.57/1.43  % (3870426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.43  % (3870426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.43  % (3870426)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870426)Termination reason: Instruction limit
% 7.17/1.64  % (3870426)Termination phase: Saturation
% 7.17/1.64  % (3870426)Time elapsed: 0.079 s
% 7.17/1.64  % (3870426)Peak memory usage: 91 MB
% 7.17/1.64  % (3870426)Instructions burned: 287 (million)
% 7.17/1.64  % (3870427)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3924646625:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 7.17/1.64  % (3870428)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1109314575:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 7.17/1.64  % (3870430)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=26199870:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.17/1.64  % (3870431)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=550613875:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.17/1.64  % (3870427)Instruction limit reached! 
% 7.17/1.64  % (3870427)------------------------------
% 7.17/1.64  % (3870427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.64  % (3870427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.64  % (3870427)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870427)Termination reason: Instruction limit
% 7.17/1.64  % (3870427)Termination phase: Saturation
% 7.17/1.64  % (3870427)Time elapsed: 0.086 s
% 7.17/1.64  % (3870427)Peak memory usage: 90 MB
% 7.17/1.64  % (3870427)Instructions burned: 158 (million)
% 7.17/1.64  % (3870431)Instruction limit reached! 
% 7.17/1.64  % (3870431)------------------------------
% 7.17/1.64  % (3870431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.64  % (3870431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.64  % (3870431)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870431)Termination reason: Instruction limit
% 7.17/1.64  % (3870431)Termination phase: Saturation
% 7.17/1.64  % (3870431)Time elapsed: 0.087 s
% 7.17/1.64  % (3870431)Peak memory usage: 90 MB
% 7.17/1.64  % (3870431)Instructions burned: 297 (million)
% 7.17/1.64  % (3870430)Instruction limit reached! 
% 7.17/1.64  % (3870430)------------------------------
% 7.17/1.64  % (3870430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.64  % (3870430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.64  % (3870430)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870430)Termination reason: Instruction limit
% 7.17/1.64  % (3870430)Termination phase: Saturation
% 7.17/1.64  % (3870430)Time elapsed: 0.140 s
% 7.17/1.64  % (3870430)Peak memory usage: 90 MB
% 7.17/1.64  % (3870430)Instructions burned: 250 (million)
% 7.17/1.64  % Exception at run slice level
% 7.17/1.64  User error: GNN currently only supports monomorphic FOL.
% 7.17/1.64  % Exception at run slice level
% 7.17/1.64  User error: GNN currently only supports monomorphic FOL.
% 7.17/1.64  % Exception at run slice level
% 7.17/1.64  User error: GNN currently only supports monomorphic FOL.
% 7.17/1.64  % (3870428)Instruction limit reached! 
% 7.17/1.64  % (3870428)------------------------------
% 7.17/1.64  % (3870428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.64  % (3870428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.64  % (3870428)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870428)Termination reason: Instruction limit
% 7.17/1.64  % (3870428)Termination phase: Saturation
% 7.17/1.64  % (3870428)Time elapsed: 0.187 s
% 7.17/1.64  % (3870428)Peak memory usage: 91 MB
% 7.17/1.64  % (3870428)Instructions burned: 325 (million)
% 7.17/1.64  % (3870436)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3776320195:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.17/1.64  % (3870441)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2453422546:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 7.17/1.64  % (3870441)Refutation not found, incomplete strategy
% 7.17/1.64  % (3870441)------------------------------
% 7.17/1.64  % (3870441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.64  % (3870441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.64  % (3870441)CaDiCaL version: 2.1.3
% 7.17/1.64  % (3870441)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.64  % (3870441)Time elapsed: 0.003 s
% 7.17/1.64  % (3870441)Peak memory usage: 88 MB
% 7.17/1.64  % (3870441)Instructions burned: 10 (million)
% 7.17/1.64  % (3870439)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3231542395:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 11.53/2.12  % (3870439)Refutation not found, incomplete strategy
% 11.53/2.12  % (3870439)------------------------------
% 11.53/2.12  % (3870439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.12  % (3870439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.12  % (3870439)CaDiCaL version: 2.1.3
% 11.53/2.12  % (3870439)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.12  % (3870439)Time elapsed: 0.004 s
% 11.53/2.12  % (3870439)Peak memory usage: 88 MB
% 11.53/2.12  % (3870439)Instructions burned: 5 (million)
% 11.53/2.12  % (3870438)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3312208237:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 11.53/2.12  % (3870437)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=648883084:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 11.53/2.12  % (3870438)Refutation not found, incomplete strategy
% 11.53/2.12  % (3870438)------------------------------
% 11.53/2.12  % (3870438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.12  % (3870438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.12  % (3870438)CaDiCaL version: 2.1.3
% 11.53/2.12  % (3870438)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.12  % (3870438)Time elapsed: 0.004 s
% 11.53/2.12  % (3870438)Peak memory usage: 88 MB
% 11.53/2.12  % (3870438)Instructions burned: 6 (million)
% 11.53/2.12  % (3870440)lrs+10_1_sil=8000:sp=occurrence:random_seed=2504624790:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 11.53/2.12  % (3870442)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3134133115:i=5202:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/5202Mi)
% 11.53/2.12  % (3870437)Instruction limit reached! 
% 11.53/2.12  % (3870437)------------------------------
% 11.53/2.12  % (3870437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.12  % (3870437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.12  % (3870437)CaDiCaL version: 2.1.3
% 11.53/2.12  % (3870437)Termination reason: Instruction limit
% 11.53/2.12  % (3870437)Termination phase: Saturation
% 11.53/2.12  % (3870437)Time elapsed: 0.065 s
% 11.53/2.12  % (3870437)Peak memory usage: 90 MB
% 11.53/2.12  % (3870437)Instructions burned: 113 (million)
% 11.53/2.12  % (3870441)------------------------------
% 11.53/2.12  % (3870441)------------------------------
% 11.53/2.12  % (3870450)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1099329866:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2993 on theBenchmark for (2993ds/134Mi)
% 11.53/2.12  % (3870439)------------------------------
% 11.53/2.12  % (3870439)------------------------------
% 11.53/2.12  % (3870438)------------------------------
% 11.53/2.12  % (3870438)------------------------------
% 11.53/2.12  % (3870451)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=49081899:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 11.53/2.12  % Exception at run slice level
% 11.53/2.12  User error: GNN currently only supports monomorphic FOL.
% 11.53/2.12  % (3870450)Instruction limit reached! 
% 11.53/2.12  % (3870450)------------------------------
% 11.53/2.12  % (3870450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.12  % (3870450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.12  % (3870450)CaDiCaL version: 2.1.3
% 11.53/2.12  % (3870450)Termination reason: Instruction limit
% 11.53/2.12  % (3870450)Termination phase: Saturation
% 11.53/2.12  % (3870450)Time elapsed: 0.072 s
% 11.53/2.12  % (3870450)Peak memory usage: 90 MB
% 11.53/2.12  % (3870450)Instructions burned: 134 (million)
% 11.53/2.12  % (3870453)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2321031667:st=3:i=13193:sd=3:ss=axioms_2991 on theBenchmark for (2991ds/13193Mi)
% 11.53/2.12  % (3870455)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3816637954:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/125Mi)
% 11.53/2.12  % Exception at run slice level
% 11.53/2.12  User error: GNN currently only supports monomorphic FOL.
% 11.53/2.12  % (3870455)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.53/2.12  % (3870456)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3922660650:i=134:gtgl=5:slsql=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/134Mi)
% 11.95/2.16  % (3870457)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3570844856:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/141Mi)
% 11.95/2.16  % (3870457)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.95/2.16  % (3870457)Refutation not found, incomplete strategy
% 11.95/2.16  % (3870457)------------------------------
% 11.95/2.16  % (3870457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870457)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870457)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.16  % (3870457)Time elapsed: 0.002 s
% 11.95/2.16  % (3870457)Peak memory usage: 88 MB
% 11.95/2.16  % (3870457)Instructions burned: 1 (million)
% 11.95/2.16  % (3870455)Instruction limit reached! 
% 11.95/2.16  % (3870455)------------------------------
% 11.95/2.16  % (3870455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870455)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870455)Termination reason: Instruction limit
% 11.95/2.16  % (3870455)Termination phase: Saturation
% 11.95/2.16  % (3870455)Time elapsed: 0.074 s
% 11.95/2.16  % (3870455)Peak memory usage: 89 MB
% 11.95/2.16  % (3870455)Instructions burned: 126 (million)
% 11.95/2.16  % (3870456)Instruction limit reached! 
% 11.95/2.16  % (3870456)------------------------------
% 11.95/2.16  % (3870456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870456)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870456)Termination reason: Instruction limit
% 11.95/2.16  % (3870456)Termination phase: Saturation
% 11.95/2.16  % (3870456)Time elapsed: 0.073 s
% 11.95/2.16  % (3870456)Peak memory usage: 89 MB
% 11.95/2.16  % (3870456)Instructions burned: 136 (million)
% 11.95/2.16  % (3870440)Instruction limit reached! 
% 11.95/2.16  % (3870440)------------------------------
% 11.95/2.16  % (3870440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870440)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870440)Termination reason: Instruction limit
% 11.95/2.16  % (3870440)Termination phase: Saturation
% 11.95/2.16  % (3870440)Time elapsed: 0.483 s
% 11.95/2.16  % (3870440)Peak memory usage: 96 MB
% 11.95/2.16  % (3870440)Instructions burned: 908 (million)
% 11.95/2.16  % (3870460)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2709949845:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/431Mi)
% 11.95/2.16  % (3870460)Refutation not found, incomplete strategy
% 11.95/2.16  % (3870460)------------------------------
% 11.95/2.16  % (3870460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870460)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870460)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.16  % (3870460)Time elapsed: 0.005 s
% 11.95/2.16  % (3870460)Peak memory usage: 88 MB
% 11.95/2.16  % (3870460)Instructions burned: 7 (million)
% 11.95/2.16  % (3870451)Instruction limit reached! 
% 11.95/2.16  % (3870451)------------------------------
% 11.95/2.16  % (3870451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870451)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870451)Termination reason: Instruction limit
% 11.95/2.16  % (3870451)Termination phase: Saturation
% 11.95/2.16  % (3870451)Time elapsed: 0.341 s
% 11.95/2.16  % (3870451)Peak memory usage: 92 MB
% 11.95/2.16  % (3870451)Instructions burned: 593 (million)
% 11.95/2.16  % (3870463)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2813707131:i=6060:aac=none:ins=25_2989 on theBenchmark for (2989ds/6060Mi)
% 11.95/2.16  % (3870464)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2116575395:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2989 on theBenchmark for (2989ds/150Mi)
% 11.95/2.16  % (3870464)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.95/2.16  % (3870465)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3584152460:i=14155:bd=all_2988 on theBenchmark for (2988ds/14155Mi)
% 11.95/2.16  % (3870457)------------------------------
% 11.95/2.16  % (3870457)------------------------------
% 11.95/2.16  % (3870464)Instruction limit reached! 
% 11.95/2.16  % (3870464)------------------------------
% 11.95/2.16  % (3870464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870464)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870464)Termination reason: Instruction limit
% 11.95/2.16  % (3870464)Termination phase: Saturation
% 11.95/2.16  % (3870464)Time elapsed: 0.094 s
% 11.95/2.16  % (3870464)Peak memory usage: 90 MB
% 11.95/2.16  % (3870464)Instructions burned: 151 (million)
% 11.95/2.16  % (3870468)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3794633917:i=667:av=off:fsr=off_2987 on theBenchmark for (2987ds/667Mi)
% 11.95/2.16  % Exception at run slice level
% 11.95/2.16  User error: GNN currently only supports monomorphic FOL.
% 11.95/2.16  % (3870468)Refutation not found, incomplete strategy
% 11.95/2.16  % (3870468)------------------------------
% 11.95/2.16  % (3870468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870468)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870468)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.16  % (3870468)Time elapsed: 0.006 s
% 11.95/2.16  % (3870468)Peak memory usage: 88 MB
% 11.95/2.16  % (3870468)Instructions burned: 9 (million)
% 11.95/2.16  % (3870460)------------------------------
% 11.95/2.16  % (3870460)------------------------------
% 11.95/2.16  % (3870471)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2367266793:s2a=on:i=185:s2at=1.8:fdi=4_2987 on theBenchmark for (2987ds/185Mi)
% 11.95/2.16  % (3870472)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2100429272:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2986 on theBenchmark for (2986ds/193Mi)
% 11.95/2.16  % (3870474)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2491730843:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2986 on theBenchmark for (2986ds/4850Mi)
% 11.95/2.16  % (3870474)Refutation not found, incomplete strategy
% 11.95/2.16  % (3870474)------------------------------
% 11.95/2.16  % (3870474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870474)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870474)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.16  % (3870474)Time elapsed: 0.004 s
% 11.95/2.16  % (3870474)Peak memory usage: 88 MB
% 11.95/2.16  % (3870474)Instructions burned: 7 (million)
% 11.95/2.16  % (3870471)First to succeed.
% 11.95/2.16  % (3870471)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3870407"
% 11.95/2.16  % (3870475)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1151379376:i=12111:sd=1:ss=included_2986 on theBenchmark for (2986ds/12111Mi)
% 11.95/2.16  % (3870472)Instruction limit reached! 
% 11.95/2.16  % (3870472)------------------------------
% 11.95/2.16  % (3870472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870472)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870472)Termination reason: Instruction limit
% 11.95/2.16  % (3870472)Termination phase: Saturation
% 11.95/2.16  % (3870472)Time elapsed: 0.104 s
% 11.95/2.16  % (3870472)Peak memory usage: 91 MB
% 11.95/2.16  % (3870472)Instructions burned: 194 (million)
% 11.95/2.16  % Exception at run slice level
% 11.95/2.16  User error: GNN currently only supports monomorphic FOL.
% 11.95/2.16  % (3870468)------------------------------
% 11.95/2.16  % (3870468)------------------------------
% 11.95/2.16  % Exception at run slice level
% 11.95/2.16  User error: GNN currently only supports monomorphic FOL.
% 11.95/2.16  % (3870480)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=953268287:i=319:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/319Mi)
% 11.95/2.16  % (3870482)dis-1011_128_sil=32000:random_seed=4241134617:i=3706:ep=RST:av=off_2984 on theBenchmark for (2984ds/3706Mi)
% 11.95/2.16  % (3870474)------------------------------
% 11.95/2.16  % (3870474)------------------------------
% 11.95/2.16  % (3870481)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4115608545:i=2064:ep=RST_2984 on theBenchmark for (2984ds/2064Mi)
% 11.95/2.16  % (3870483)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3474582178:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2983 on theBenchmark for (2983ds/757Mi)
% 11.95/2.16  % (3870483)Refutation not found, incomplete strategy
% 11.95/2.16  % (3870483)------------------------------
% 11.95/2.16  % (3870483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.16  % (3870483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.16  % (3870483)CaDiCaL version: 2.1.3
% 11.95/2.16  % (3870483)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.16  % (3870483)Time elapsed: 0.006 s
% 11.95/2.16  % (3870483)Peak memory usage: 89 MB
% 11.95/2.16  % (3870483)Instructions burned: 8 (million)
% 11.95/2.16  % (3870471)Refutation found. Thanks to Tanya!
% 11.95/2.16  % SZS status Theorem for theBenchmark
% 11.95/2.16  % SZS output start Proof for theBenchmark
% See solution above
% 12.67/2.35  % (3870471)------------------------------
% 12.67/2.35  % (3870471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.67/2.35  % (3870471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.35  % (3870471)CaDiCaL version: 2.1.3
% 12.67/2.35  % (3870471)Termination reason: Refutation
% 12.67/2.35  % (3870471)Time elapsed: 0.085 s
% 12.67/2.35  % (3870471)Peak memory usage: 91 MB
% 12.67/2.35  % (3870471)Instructions burned: 138 (million)
% 12.67/2.35  % (3870471)------------------------------
% 12.67/2.35  % (3870471)------------------------------
% 12.67/2.35  % (3870407)Success in time 1.737 s
% 12.67/2.35  % Vampire exiting
%------------------------------------------------------------------------------