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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP170^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 : Wed Sep 30 08:10:58 AM UTC 2026

% Result   : Theorem 7.44s 1.39s
% Output   : Refutation 7.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   67 (  27 unt;   0 typ;   2 def)
%            Number of atoms       :  309 (  84 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  956 (  34   ~;  40   |;  13   &; 840   @)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   57 (  57   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  233 ( 229 usr;  14 con; 0-5 aty)
%                                         (  18  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  121 (   0 sgn  95   !;   0   ?; 121   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc458204144s_real: $tType ).

thf(type_def_6,type,
    produc1603581272s_real: $tType ).

thf(type_def_7,type,
    produc28608506s_real: $tType ).

thf(type_def_8,type,
    produc1622321602s_real: $tType ).

thf(type_def_9,type,
    produc427086159s_real: $tType ).

thf(type_def_10,type,
    produc957004601l_real: $tType ).

thf(type_def_11,type,
    view_e774982825t_unit: $tType ).

thf(type_def_12,type,
    real_int: $tType ).

thf(type_def_13,type,
    nat_int: $tType ).

thf(type_def_14,type,
    traffic: $tType ).

thf(type_def_15,type,
    real: $tType ).

thf(type_def_16,type,
    cars: $tType ).

thf(type_def_17,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    one_one_real: real ).

thf(func_def_1,type,
    plus_plus_real: real > real > real ).

thf(func_def_2,type,
    zero_zero_real: real ).

thf(func_def_3,type,
    len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).

thf(func_def_4,type,
    bot_bot_nat_int: nat_int ).

thf(func_def_5,type,
    ord_less_real_int: real_int > real_int > $o ).

thf(func_def_6,type,
    ord_less_real: real > real > $o ).

thf(func_def_7,type,
    ord_less_eq_real_int: real_int > real_int > $o ).

thf(func_def_8,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_9,type,
    ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_10,type,
    produc795767668s_real: ( cars > real > real ) > produc427086159s_real > produc1622321602s_real ).

thf(func_def_11,type,
    produc1348924850s_real: ( cars > nat_int ) > produc1622321602s_real > produc28608506s_real ).

thf(func_def_12,type,
    produc1230243850s_real: ( cars > nat_int ) > produc28608506s_real > produc1603581272s_real ).

thf(func_def_13,type,
    produc1439932679s_real: ( cars > real ) > ( cars > real ) > produc427086159s_real ).

thf(func_def_14,type,
    produc1876576040s_real: ( cars > real ) > produc1603581272s_real > produc458204144s_real ).

thf(func_def_15,type,
    produc705216881l_real: real > real > produc957004601l_real ).

thf(func_def_16,type,
    left: real_int > real ).

thf(func_def_17,type,
    real_Abs_real_int: produc957004601l_real > real_int ).

thf(func_def_18,type,
    real_length: real_int > real ).

thf(func_def_19,type,
    real_shift: real_int > real > real_int ).

thf(func_def_20,type,
    right: real_int > real ).

thf(func_def_21,type,
    regular_regular: cars > traffic > cars > real ).

thf(func_def_22,type,
    sensors: ( cars > traffic > cars > real ) > $o ).

thf(func_def_23,type,
    space: ( cars > traffic > cars > real ) > traffic > view_e774982825t_unit > cars > real_int ).

thf(func_def_24,type,
    abs_traffic: produc458204144s_real > traffic ).

thf(func_def_25,type,
    physical_size: traffic > cars > real ).

thf(func_def_26,type,
    pos: traffic > cars > real ).

thf(func_def_27,type,
    ext_Product_unit: view_e774982825t_unit > real_int ).

thf(func_def_28,type,
    hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_29,type,
    own_Product_unit: view_e774982825t_unit > cars ).

thf(func_def_30,type,
    c: cars ).

thf(func_def_31,type,
    cl: cars > nat_int ).

thf(func_def_32,type,
    d: cars ).

thf(func_def_33,type,
    dy: cars > real > real ).

thf(func_def_34,type,
    po: cars > real ).

thf(func_def_35,type,
    ps: cars > real ).

thf(func_def_36,type,
    re: cars > nat_int ).

thf(func_def_37,type,
    sd: cars > real ).

thf(func_def_38,type,
    ts: traffic ).

thf(func_def_39,type,
    ts_rep: produc458204144s_real ).

thf(func_def_40,type,
    v: view_e774982825t_unit ).

thf(func_def_41,type,
    v2: view_e774982825t_unit ).

thf(func_def_45,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_46,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_47,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_48,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_52,type,
    vAND: $o > $o > $o ).

thf(func_def_53,type,
    vNOT: $o > $o ).

thf(func_def_54,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_55,type,
    vOR: $o > $o > $o ).

thf(func_def_56,type,
    sP0: real > real > real > $o ).

thf(func_def_57,type,
    sP1: real > real > real > $o ).

thf(func_def_58,type,
    sP2: real > real > real > $o ).

thf(func_def_59,type,
    sK3: cars > real > real ).

thf(func_def_60,type,
    sK4: cars > real ).

thf(func_def_61,type,
    sK5: ( cars > traffic > cars > real ) > cars ).

thf(func_def_62,type,
    sK6: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_63,type,
    sK7: ( cars > traffic > cars > real ) > cars ).

thf(func_def_64,type,
    sK8: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_65,type,
    sK9: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_66,type,
    sK10: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_67,type,
    sK11: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_68,type,
    sK12: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_69,type,
    sK13: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_70,type,
    sK14: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_71,type,
    sK15: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_72,type,
    sK16: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_73,type,
    sK17: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_74,type,
    sK18: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_75,type,
    sK19: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_76,type,
    sK20: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_77,type,
    sK21: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_78,type,
    sK22: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_79,type,
    sK23: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_80,type,
    sK24: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_81,type,
    sK25: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_82,type,
    sK26: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_83,type,
    sK27: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_84,type,
    sK28: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_85,type,
    sK29: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_86,type,
    sK30: cars > traffic > view_e774982825t_unit > ( cars > traffic > cars > real ) > view_e774982825t_unit ).

thf(func_def_87,type,
    sK31: cars > traffic > view_e774982825t_unit > ( cars > traffic > cars > real ) > view_e774982825t_unit ).

thf(func_def_88,type,
    sK32: cars > traffic > view_e774982825t_unit > ( cars > traffic > cars > real ) > view_e774982825t_unit ).

thf(func_def_89,type,
    sK33: cars > traffic > view_e774982825t_unit > ( cars > traffic > cars > real ) > view_e774982825t_unit ).

thf(func_def_90,type,
    sK34: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_91,type,
    sK35: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_92,type,
    sK36: view_e774982825t_unit > real > real > view_e774982825t_unit ).

thf(func_def_93,type,
    sK37: view_e774982825t_unit > real > real > view_e774982825t_unit ).

thf(func_def_94,type,
    sK38: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_95,type,
    sK39: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_96,type,
    sK40: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_97,type,
    sK41: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_98,type,
    sK42: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_99,type,
    sK43: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_100,type,
    sK44: view_e774982825t_unit > real > real > view_e774982825t_unit ).

thf(func_def_101,type,
    sK45: view_e774982825t_unit > real > real > view_e774982825t_unit ).

thf(func_def_102,type,
    sK46: real > real > real ).

thf(func_def_103,type,
    sK47: real > real ).

thf(func_def_104,type,
    sK48: real > real ).

thf(func_def_105,type,
    sK49: ( real > real > $o ) > real ).

thf(func_def_106,type,
    sK50: ( real > real > $o ) > real ).

thf(func_def_107,type,
    sK51: ( real > real > $o ) > real ).

thf(func_def_108,type,
    sK52: ( real > real > $o ) > real ).

thf(func_def_109,type,
    sK53: ( cars > traffic > cars > real ) > cars ).

thf(func_def_110,type,
    sK54: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_111,type,
    sK55: ( cars > traffic > cars > real ) > cars ).

thf(func_def_112,type,
    sK56: ( cars > traffic > cars > real ) > cars ).

thf(func_def_113,type,
    sK57: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_114,type,
    sK58: ( cars > traffic > cars > real ) > cars ).

thf(func_def_115,type,
    sK59: ( cars > traffic > cars > real ) > cars ).

thf(func_def_116,type,
    sK60: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_117,type,
    sK61: ( cars > traffic > cars > real ) > cars ).

thf(func_def_118,type,
    sK62: real > real > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_119,type,
    sK63: real > real > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_120,type,
    sK64: ( cars > traffic > cars > real ) > cars ).

thf(func_def_121,type,
    sK65: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_122,type,
    sK66: ( cars > traffic > cars > real ) > cars ).

thf(func_def_123,type,
    sK67: ( cars > traffic > cars > real ) > cars ).

thf(func_def_124,type,
    sK68: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_125,type,
    sK69: ( cars > traffic > cars > real ) > cars ).

thf(func_def_126,type,
    sK70: ( cars > traffic > cars > real ) > cars ).

thf(func_def_127,type,
    sK71: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_128,type,
    sK72: ( cars > traffic > cars > real ) > cars ).

thf(func_def_129,type,
    sK73: ( cars > traffic > cars > real ) > cars ).

thf(func_def_130,type,
    sK74: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_131,type,
    sK75: ( cars > traffic > cars > real ) > cars ).

thf(func_def_132,type,
    sK76: ( cars > traffic > cars > real ) > cars ).

thf(func_def_133,type,
    sK77: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_134,type,
    sK78: ( cars > traffic > cars > real ) > cars ).

thf(func_def_135,type,
    sK79: ( cars > traffic > cars > real ) > cars ).

thf(func_def_136,type,
    sK80: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_137,type,
    sK81: ( cars > traffic > cars > real ) > cars ).

thf(func_def_138,type,
    sK82: ( cars > traffic > cars > real ) > cars ).

thf(func_def_139,type,
    sK83: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_140,type,
    sK84: ( cars > traffic > cars > real ) > cars ).

thf(func_def_141,type,
    sK85: ( cars > traffic > cars > real ) > cars ).

thf(func_def_142,type,
    sK86: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_143,type,
    sK87: ( cars > traffic > cars > real ) > cars ).

thf(func_def_144,type,
    sK88: ( cars > traffic > cars > real ) > cars ).

thf(func_def_145,type,
    sK89: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_146,type,
    sK90: ( cars > traffic > cars > real ) > cars ).

thf(func_def_147,type,
    sK91: ( cars > traffic > cars > real ) > cars ).

thf(func_def_148,type,
    sK92: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_149,type,
    sK93: ( cars > traffic > cars > real ) > cars ).

thf(func_def_150,type,
    sK94: ( cars > traffic > cars > real ) > cars ).

thf(func_def_151,type,
    sK95: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_152,type,
    sK96: ( cars > traffic > cars > real ) > cars ).

thf(func_def_153,type,
    sK97: ( cars > traffic > cars > real ) > cars ).

thf(func_def_154,type,
    sK98: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_155,type,
    sK99: ( cars > traffic > cars > real ) > cars ).

thf(func_def_156,type,
    sK100: ( cars > traffic > cars > real ) > cars ).

thf(func_def_157,type,
    sK101: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_158,type,
    sK102: ( cars > traffic > cars > real ) > cars ).

thf(func_def_159,type,
    sK103: ( cars > traffic > cars > real ) > cars ).

thf(func_def_160,type,
    sK104: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_161,type,
    sK105: ( cars > traffic > cars > real ) > cars ).

thf(func_def_162,type,
    sK106: ( cars > traffic > cars > real ) > cars ).

thf(func_def_163,type,
    sK107: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_164,type,
    sK108: ( cars > traffic > cars > real ) > cars ).

thf(func_def_165,type,
    sK109: ( cars > traffic > cars > real ) > cars ).

thf(func_def_166,type,
    sK110: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_167,type,
    sK111: ( cars > traffic > cars > real ) > cars ).

thf(func_def_168,type,
    sK112: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_169,type,
    sK113: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_170,type,
    sK114: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_171,type,
    sK115: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_172,type,
    sK116: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_173,type,
    sK117: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_174,type,
    sK118: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_175,type,
    sK119: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_176,type,
    sK120: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_177,type,
    sK121: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_178,type,
    sK122: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_179,type,
    sK123: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_180,type,
    sK124: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_181,type,
    sK125: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_182,type,
    sK126: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_183,type,
    sK127: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_184,type,
    sK128: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_185,type,
    sK129: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_186,type,
    sK130: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_187,type,
    sK131: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_188,type,
    sK132: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_189,type,
    sK133: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_190,type,
    sK134: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_191,type,
    sK135: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_192,type,
    sK136: ( cars > traffic > cars > real ) > cars ).

thf(func_def_193,type,
    sK137: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_194,type,
    sK138: ( cars > traffic > cars > real ) > cars ).

thf(func_def_195,type,
    sK139: ( cars > traffic > cars > real ) > cars ).

thf(func_def_196,type,
    sK140: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_197,type,
    sK141: ( cars > traffic > cars > real ) > cars ).

thf(func_def_198,type,
    sK142: ( cars > traffic > cars > real ) > cars ).

thf(func_def_199,type,
    sK143: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_200,type,
    sK144: ( cars > traffic > cars > real ) > cars ).

thf(func_def_201,type,
    sK145: ( cars > traffic > cars > real ) > cars ).

thf(func_def_202,type,
    sK146: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_203,type,
    sK147: ( cars > traffic > cars > real ) > cars ).

thf(func_def_204,type,
    sK148: ( cars > traffic > cars > real ) > cars ).

thf(func_def_205,type,
    sK149: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_206,type,
    sK150: ( cars > traffic > cars > real ) > cars ).

thf(func_def_207,type,
    sK151: ( cars > traffic > cars > real ) > cars ).

thf(func_def_208,type,
    sK152: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_209,type,
    sK153: ( cars > traffic > cars > real ) > cars ).

thf(func_def_210,type,
    sK154: ( cars > traffic > cars > real ) > cars ).

thf(func_def_211,type,
    sK155: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_212,type,
    sK156: ( cars > traffic > cars > real ) > cars ).

thf(func_def_213,type,
    sK157: ( cars > traffic > cars > real ) > cars ).

thf(func_def_214,type,
    sK158: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_215,type,
    sK159: ( cars > traffic > cars > real ) > cars ).

thf(func_def_216,type,
    sK160: ( cars > traffic > cars > real ) > cars ).

thf(func_def_217,type,
    sK161: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_218,type,
    sK162: ( cars > traffic > cars > real ) > cars ).

thf(func_def_219,type,
    sK163: ( cars > traffic > cars > real ) > cars ).

thf(func_def_220,type,
    sK164: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_221,type,
    sK165: ( cars > traffic > cars > real ) > cars ).

thf(func_def_222,type,
    sK166: ( cars > traffic > cars > real ) > cars ).

thf(func_def_223,type,
    sK167: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_224,type,
    sK168: ( cars > traffic > cars > real ) > cars ).

thf(func_def_225,type,
    sK169: ( cars > traffic > cars > real ) > cars ).

thf(func_def_226,type,
    sK170: ( cars > traffic > cars > real ) > traffic ).

thf(func_def_227,type,
    sK171: ( cars > traffic > cars > real ) > cars ).

thf(func_def_229,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(f3,axiom,
    ! [X0: cars,X1: traffic,X2: cars] : ( ord_less_real @ zero_zero_real @ ( regular_regular @ X0 @ X1 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_local_Ohmlsl_Osensors__ge) ).

thf(f4,axiom,
    ! [X0: view_e774982825t_unit,X1: traffic,X2: cars] :
      ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X0 @ X1 @ X2 ) ) )
     => ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X0 ) ) @ ( right @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) )
        & ( ord_less_real @ ( left @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) @ ( right @ ( ext_Product_unit @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hmlsl_Olen__non__empty__inside) ).

thf(f5,axiom,
    ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_v_H__d) ).

thf(f11,axiom,
    ! [X0: traffic,X1: view_e774982825t_unit,X2: cars] :
      ( ( left @ ( space @ regular_regular @ X0 @ X1 @ X2 ) )
      = ( pos @ X0 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_hmlsl_Oleft__space) ).

thf(f12,axiom,
    ( ( len @ regular_regular @ v @ ts @ c )
    = ( len @ regular_regular @ v @ ts @ d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_len__eq) ).

thf(f20,axiom,
    ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_v_H__c) ).

thf(f25,axiom,
    ! [X0: cars > traffic > cars > real,X1: view_e774982825t_unit,X2: traffic,X3: cars] :
      ( ( sensors @ X0 )
     => ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       => ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X1 ) ) @ ( right @ ( space @ X0 @ X2 @ X1 @ X3 ) ) )
          & ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_sensors_Olen__non__empty__inside) ).

thf(f44,axiom,
    ( sensors
    = ( ^ [X0: cars > traffic > cars > real] :
        ! [X1: cars,X2: traffic,X3: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ X1 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_sensors__def) ).

thf(f268,conjecture,
    ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
    & ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f269,negated_conjecture,
    ~ ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
      & ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f268]) ).

thf(f270,plain,
    ! [X0: cars,X1: traffic,X2: cars] : ( ord_less_real @ zero_zero_real @ ( regular_regular @ X0 @ X1 @ X2 ) ),
    inference(rectify,[],[f3]) ).

thf(f271,plain,
    ! [X0: cars,X1: traffic,X2: cars] :
      ( ( ord_less_real @ zero_zero_real @ ( regular_regular @ X0 @ X1 @ X2 ) )
      = $true ),
    inference(fool_elimination,[],[f270]) ).

thf(f272,plain,
    ! [X0: view_e774982825t_unit,X1: traffic,X2: cars] :
      ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X0 @ X1 @ X2 ) ) )
     => ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X0 ) ) @ ( right @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) )
        & ( ord_less_real @ ( left @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) @ ( right @ ( ext_Product_unit @ X0 ) ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f273,plain,
    ! [X0: view_e774982825t_unit,X1: traffic,X2: cars] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X0 @ X1 @ X2 ) ) )
        = $true )
     => ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X0 ) ) @ ( right @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) )
          = $true )
        & ( ( ord_less_real @ ( left @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) @ ( right @ ( ext_Product_unit @ X0 ) ) )
          = $true ) ) ),
    inference(fool_elimination,[],[f272]) ).

thf(f274,plain,
    ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ),
    inference(rectify,[],[f5]) ).

thf(f275,plain,
    ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ) )
    = $true ),
    inference(fool_elimination,[],[f274]) ).

thf(f296,plain,
    ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ),
    inference(rectify,[],[f20]) ).

thf(f297,plain,
    ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ) )
    = $true ),
    inference(fool_elimination,[],[f296]) ).

thf(f304,plain,
    ! [X0: cars > traffic > cars > real,X1: view_e774982825t_unit,X2: traffic,X3: cars] :
      ( ( sensors @ X0 )
     => ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       => ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X1 ) ) @ ( right @ ( space @ X0 @ X2 @ X1 @ X3 ) ) )
          & ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) ) ) ) ),
    inference(rectify,[],[f25]) ).

thf(f305,plain,
    ! [X0: cars > traffic > cars > real,X1: view_e774982825t_unit,X2: traffic,X3: cars] :
      ( ( ( sensors @ X0 )
        = $true )
     => ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
          = $true )
       => ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X1 ) ) @ ( right @ ( space @ X0 @ X2 @ X1 @ X3 ) ) )
            = $true )
          & ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
            = $true ) ) ) ),
    inference(fool_elimination,[],[f304]) ).

thf(f326,plain,
    ( sensors
    = ( ^ [X0: cars > traffic > cars > real] :
        ! [X1: cars,X2: traffic,X3: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ X1 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f44]) ).

thf(f327,plain,
    ( sensors
    = ( ^ [Y0: cars > traffic > cars > real] :
          ( !! @ cars
          @ ^ [Y1: cars] :
              ( !! @ traffic
              @ ^ [Y2: traffic] :
                  ( !! @ cars
                  @ ^ [Y3: cars] : ( ord_less_real @ zero_zero_real @ ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f326]) ).

thf(f672,plain,
    ~ ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
      & ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) ) ),
    inference(rectify,[],[f269]) ).

thf(f673,plain,
    ~ ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
        = $true )
      & ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
        = $true ) ),
    inference(fool_elimination,[],[f672]) ).

thf(f691,plain,
    ! [X0: view_e774982825t_unit,X1: traffic,X2: cars] :
      ( ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X0 ) ) @ ( right @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) )
          = $true )
        & ( ( ord_less_real @ ( left @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) @ ( right @ ( ext_Product_unit @ X0 ) ) )
          = $true ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X0 @ X1 @ X2 ) ) )
       != $true ) ),
    inference(ennf_transformation,[],[f273]) ).

thf(f695,plain,
    ! [X0: cars > traffic > cars > real,X1: view_e774982825t_unit,X2: traffic,X3: cars] :
      ( ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X1 ) ) @ ( right @ ( space @ X0 @ X2 @ X1 @ X3 ) ) )
          = $true )
        & ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
          = $true ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( ( sensors @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f305]) ).

thf(f696,plain,
    ! [X0: cars > traffic > cars > real,X1: view_e774982825t_unit,X2: traffic,X3: cars] :
      ( ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X1 ) ) @ ( right @ ( space @ X0 @ X2 @ X1 @ X3 ) ) )
          = $true )
        & ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
          = $true ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( ( sensors @ X0 )
       != $true ) ),
    inference(flattening,[],[f695]) ).

thf(f931,plain,
    ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
     != $true )
    | ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
     != $true ) ),
    inference(ennf_transformation,[],[f673]) ).

thf(f970,plain,
    ! [X2: cars,X0: cars,X1: traffic] :
      ( ( ord_less_real @ zero_zero_real @ ( regular_regular @ X0 @ X1 @ X2 ) )
      = $true ),
    inference(cnf_transformation,[],[f271]) ).

thf(f972,plain,
    ! [X2: cars,X0: view_e774982825t_unit,X1: traffic] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X0 @ X1 @ X2 ) ) )
       != $true )
      | ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X0 ) ) @ ( right @ ( space @ regular_regular @ X1 @ X0 @ X2 ) ) )
        = $true ) ),
    inference(cnf_transformation,[],[f691]) ).

thf(f973,plain,
    ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ) )
    = $true ),
    inference(cnf_transformation,[],[f275]) ).

thf(f980,plain,
    ! [X2: cars,X0: traffic,X1: view_e774982825t_unit] :
      ( ( left @ ( space @ regular_regular @ X0 @ X1 @ X2 ) )
      = ( pos @ X0 @ X2 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f981,plain,
    ( ( len @ regular_regular @ v @ ts @ d )
    = ( len @ regular_regular @ v @ ts @ c ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f989,plain,
    ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ) )
    = $true ),
    inference(cnf_transformation,[],[f297]) ).

thf(f994,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( ( sensors @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f696]) ).

thf(f1014,plain,
    ( sensors
    = ( ^ [Y0: cars > traffic > cars > real] :
          ( !! @ cars
          @ ^ [Y1: cars] :
              ( !! @ traffic
              @ ^ [Y2: traffic] :
                  ( !! @ cars
                  @ ^ [Y3: cars] : ( ord_less_real @ zero_zero_real @ ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f327]) ).

thf(f1281,plain,
    ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
     != $true )
    | ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f931]) ).

thf(f1286,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $true
       != ( ^ [Y0: cars > traffic > cars > real] :
              ( !! @ cars
              @ ^ [Y1: cars] :
                  ( !! @ traffic
                  @ ^ [Y2: traffic] :
                      ( !! @ cars
                      @ ^ [Y3: cars] : ( ord_less_real @ zero_zero_real @ ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
          @ X0 ) ) ),
    inference(definition_unfolding,[],[f994,f1014]) ).

thf(f2093,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $true
       != ( !! @ cars
          @ ^ [Y0: cars] :
              ( !! @ traffic
              @ ^ [Y1: traffic] :
                  ( !! @ cars
                  @ ^ [Y2: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1286]) ).

thf(f2094,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $false
        = ( ^ [Y0: cars] :
              ( !! @ traffic
              @ ^ [Y1: traffic] :
                  ( !! @ cars
                  @ ^ [Y2: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y2 @ Y1 @ Y0 ) ) ) )
          @ ( sK166 @ X0 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f2093]) ).

thf(f2095,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $false
        = ( !! @ traffic
          @ ^ [Y0: traffic] :
              ( !! @ cars
              @ ^ [Y1: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y1 @ Y0 @ ( sK166 @ X0 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2094]) ).

thf(f2096,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $false
        = ( ^ [Y0: traffic] :
              ( !! @ cars
              @ ^ [Y1: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y1 @ Y0 @ ( sK166 @ X0 ) ) ) )
          @ ( sK167 @ X0 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f2095]) ).

thf(f2097,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $false
        = ( !! @ cars
          @ ^ [Y0: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y0 @ ( sK167 @ X0 ) @ ( sK166 @ X0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2096]) ).

thf(f2098,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( $false
        = ( ^ [Y0: cars] : ( ord_less_real @ zero_zero_real @ ( X0 @ Y0 @ ( sK167 @ X0 ) @ ( sK166 @ X0 ) ) )
          @ ( sK168 @ X0 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f2097]) ).

thf(f2099,plain,
    ! [X2: traffic,X3: cars,X0: cars > traffic > cars > real,X1: view_e774982825t_unit] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ X0 @ X1 @ X2 @ X3 ) ) )
       != $true )
      | ( ( ord_less_real @ ( left @ ( space @ X0 @ X2 @ X1 @ X3 ) ) @ ( right @ ( ext_Product_unit @ X1 ) ) )
        = $true )
      | ( $false
        = ( ord_less_real @ zero_zero_real @ ( X0 @ ( sK168 @ X0 ) @ ( sK167 @ X0 ) @ ( sK166 @ X0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2098]) ).

thf(f2122,definition,
    ( spl172_1
  <=> ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl172_1])],[avatar_definition]) ).

thf(f2124,plain,
    ( ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
     != $true )
    | spl172_1 ),
    inference(avatar_component_clause,[],[f2122]) ).

thf(f2126,definition,
    ( spl172_2
  <=> ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl172_2])],[avatar_definition]) ).

thf(f2128,plain,
    ( ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
     != $true )
    | spl172_2 ),
    inference(avatar_component_clause,[],[f2126]) ).

thf(f2129,plain,
    ( ~ spl172_1
    | ~ spl172_2 ),
    inference(avatar_split_clause,[],[f1281,f2126,f2122]) ).

thf(f8652,plain,
    ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ) )
     != $true )
    | ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
      = $true ) ),
    inference(constrained_superposition,[],[f972,f981]) ).

thf(f8681,plain,
    ( ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
    = $true ),
    inference(forward_subsumption_resolution,[],[f8652,f989]) ).

thf(f8683,plain,
    ( $false
    | spl172_2 ),
    inference(forward_subsumption_resolution,[],[f8681,f2128]) ).

thf(f8684,plain,
    spl172_2,
    inference(avatar_contradiction_clause,[],[f8683]) ).

thf(f8686,plain,
    ( ( $true
     != ( ord_less_real @ ( pos @ ts @ d ) @ ( right @ ( ext_Product_unit @ v ) ) ) )
    | spl172_1 ),
    inference(forward_demodulation,[],[f2124,f980]) ).

thf(f12162,plain,
    ( ( $true != $true )
    | ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
      = $true )
    | ( $false
      = ( ord_less_real @ zero_zero_real @ ( regular_regular @ ( sK168 @ regular_regular ) @ ( sK167 @ regular_regular ) @ ( sK166 @ regular_regular ) ) ) ) ),
    inference(constrained_superposition,[],[f2099,f973]) ).

thf(f12165,plain,
    ( ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
      = $true )
    | ( $false
      = ( ord_less_real @ zero_zero_real @ ( regular_regular @ ( sK168 @ regular_regular ) @ ( sK167 @ regular_regular ) @ ( sK166 @ regular_regular ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f12162]) ).

thf(f12185,plain,
    ( ( $true
      = ( ord_less_real @ ( pos @ ts @ d ) @ ( right @ ( ext_Product_unit @ v ) ) ) )
    | ( $false
      = ( ord_less_real @ zero_zero_real @ ( regular_regular @ ( sK168 @ regular_regular ) @ ( sK167 @ regular_regular ) @ ( sK166 @ regular_regular ) ) ) ) ),
    inference(forward_demodulation,[],[f12165,f980]) ).

thf(f12189,plain,
    ( ( $false
      = ( ord_less_real @ zero_zero_real @ ( regular_regular @ ( sK168 @ regular_regular ) @ ( sK167 @ regular_regular ) @ ( sK166 @ regular_regular ) ) ) )
    | spl172_1 ),
    inference(forward_subsumption_resolution,[],[f12185,f8686]) ).

thf(f12796,plain,
    ( ( $true = $false )
    | spl172_1 ),
    inference(constrained_superposition,[],[f12189,f970]) ).

thf(f12866,plain,
    ( $false
    | spl172_1 ),
    inference(trivial_inequality_removal,[],[f12796]) ).

thf(f12867,plain,
    spl172_1,
    inference(avatar_contradiction_clause,[],[f12866]) ).

cnf(s1,plain,
    ( ~ spl172_1
    | ~ spl172_2 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s4,plain,
    spl172_2,
    inference(sat_conversion,[],[f8684]) ).

cnf(s6,plain,
    spl172_1,
    inference(sat_conversion,[],[f12867]) ).

cnf(s7,plain,
    $false,
    inference(rat,[],[s1,s4,s6]) ).

thf(f12878,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP170^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n009.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Tue Sep 29 20:05:30 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/0.95  % (289761)Will run a generic schedule for satisfiability detection.
% 4.03/0.95  % (289789)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3923359356:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.03/0.95  % (289786)% WARNING: option uhcvi not known.
% 4.03/0.95  % (289785)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1589098171_2999 on theBenchmark for (2999ds/0Mi)
% 4.03/0.95  % (289786)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3233311464:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.03/0.95  % (289788)dis+10_1_sil=32000:sp=arity:random_seed=749020385:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.03/0.95  % (289787)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4222669755:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.03/0.95  % (289790)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2898038335:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.03/0.95  % (289789)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.03/0.95  % (289792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=276303158:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.03/0.95  % (289786)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.03/0.95  % (289789)Instruction limit reached! 
% 4.03/0.95  % (289789)------------------------------
% 4.03/0.95  % (289789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.95  % (289789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.95  % (289789)CaDiCaL version: 2.1.3
% 4.03/0.95  % (289789)Termination reason: Instruction limit
% 4.03/0.95  % (289789)Termination phase: Saturation
% 4.03/0.95  % (289789)Time elapsed: 0.027 s
% 4.03/0.95  % (289789)Peak memory usage: 12 MB
% 4.03/0.95  % (289789)Instructions burned: 119 (million)
% 4.03/0.95  % (289811)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1069698024:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.03/0.95  % Exception at run slice level
% 4.03/0.95  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.03/0.95  % (289786)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.03/0.95  % (289788)Instruction limit reached! 
% 4.03/0.95  % (289788)------------------------------
% 4.03/0.95  % (289788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.95  % (289788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.95  % (289788)CaDiCaL version: 2.1.3
% 4.03/0.95  % (289788)Termination reason: Instruction limit
% 4.03/0.95  % (289788)Termination phase: Saturation
% 4.03/0.95  % (289788)Time elapsed: 0.044 s
% 4.03/0.95  % (289788)Peak memory usage: 12 MB
% 4.03/0.95  % (289788)Instructions burned: 105 (million)
% 4.03/0.95  % Exception at run slice level
% 4.03/0.95  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.03/0.95  % (289817)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1467441140:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.03/0.95  % (289790)Instruction limit reached! 
% 4.03/0.95  % (289790)------------------------------
% 4.03/0.95  % (289790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.95  % (289790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.95  % (289790)CaDiCaL version: 2.1.3
% 4.03/0.95  % (289790)Termination reason: Instruction limit
% 4.03/0.95  % (289790)Termination phase: Saturation
% 4.03/0.95  % (289790)Time elapsed: 0.056 s
% 4.03/0.95  % (289790)Peak memory usage: 13 MB
% 4.03/0.95  % (289790)Instructions burned: 132 (million)
% 4.03/0.95  % (289826)ott-21_1_sil=16000:fs=off:random_seed=972898591:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.03/0.95  % (289823)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2591104622:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.03/0.95  % (289792)Instruction limit reached! 
% 4.03/0.95  % (289792)------------------------------
% 4.03/0.95  % (289792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.95  % (289792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289792)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289792)Termination reason: Instruction limit
% 7.44/1.39  % (289792)Termination phase: Saturation
% 7.44/1.39  % (289792)Time elapsed: 0.072 s
% 7.44/1.39  % (289792)Peak memory usage: 14 MB
% 7.44/1.39  % (289792)Instructions burned: 159 (million)
% 7.44/1.39  % (289831)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3745915383:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.44/1.39  % (289823)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.44/1.39  % (289838)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3138996578:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.44/1.39  % (289823)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.44/1.39  % (289826)Instruction limit reached! 
% 7.44/1.39  % (289826)------------------------------
% 7.44/1.39  % (289826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289826)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289826)Termination reason: Instruction limit
% 7.44/1.39  % (289826)Termination phase: Saturation
% 7.44/1.39  % (289826)Time elapsed: 0.044 s
% 7.44/1.39  % (289826)Peak memory usage: 13 MB
% 7.44/1.39  % (289826)Instructions burned: 184 (million)
% 7.44/1.39  % (289848)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3692862062:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.44/1.39  % (289817)Instruction limit reached! 
% 7.44/1.39  % (289817)------------------------------
% 7.44/1.39  % (289817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289817)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289817)Termination reason: Instruction limit
% 7.44/1.39  % (289817)Termination phase: Saturation
% 7.44/1.39  % (289817)Time elapsed: 0.061 s
% 7.44/1.39  % (289817)Peak memory usage: 13 MB
% 7.44/1.39  % (289817)Instructions burned: 132 (million)
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289857)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1745908956:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.44/1.39  % (289862)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4037691147:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 7.44/1.39  % (289862)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289882)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1606308796:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.44/1.39  % (289882)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.44/1.39  % (289831)Instruction limit reached! 
% 7.44/1.39  % (289831)------------------------------
% 7.44/1.39  % (289831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289831)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289831)Termination reason: Instruction limit
% 7.44/1.39  % (289831)Termination phase: Saturation
% 7.44/1.39  % (289831)Time elapsed: 0.245 s
% 7.44/1.39  % (289831)Peak memory usage: 14 MB
% 7.44/1.39  % (289831)Instructions burned: 478 (million)
% 7.44/1.39  % (289910)fmb+10_1_sil=64000:random_seed=840339993:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 7.44/1.39  % (289910)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.44/1.39  % (289823)Instruction limit reached! 
% 7.44/1.39  % (289823)------------------------------
% 7.44/1.39  % (289823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289823)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289823)Termination reason: Instruction limit
% 7.44/1.39  % (289823)Termination phase: Saturation
% 7.44/1.39  % (289823)Time elapsed: 0.308 s
% 7.44/1.39  % (289823)Peak memory usage: 15 MB
% 7.44/1.39  % (289823)Instructions burned: 684 (million)
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289912)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=348401741:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 7.44/1.39  % (289913)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2132718150:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 7.44/1.39  % (289848)Instruction limit reached! 
% 7.44/1.39  % (289848)------------------------------
% 7.44/1.39  % (289848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289848)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289848)Termination reason: Instruction limit
% 7.44/1.39  % (289848)Termination phase: Saturation
% 7.44/1.39  % (289848)Time elapsed: 0.291 s
% 7.44/1.39  % (289848)Peak memory usage: 20 MB
% 7.44/1.39  % (289848)Instructions burned: 1180 (million)
% 7.44/1.39  % (289916)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=41541790:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 7.44/1.39  % (289916)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289918)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2497639136:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.44/1.39  % (289919)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=41024773:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 7.44/1.39  % (289918)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.44/1.39  % (289862)Instruction limit reached! 
% 7.44/1.39  % (289862)------------------------------
% 7.44/1.39  % (289862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289862)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289862)Termination reason: Instruction limit
% 7.44/1.39  % (289862)Termination phase: Saturation
% 7.44/1.39  % (289862)Time elapsed: 0.327 s
% 7.44/1.39  % (289862)Peak memory usage: 16 MB
% 7.44/1.39  % (289862)Instructions burned: 693 (million)
% 7.44/1.39  % (289918)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289922)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3609739150:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.44/1.39  % (289923)ott-2_1_sil=16000:newcnf=on:random_seed=2460149919:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 7.44/1.39  % (289923)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289926)ott+10_1_sil=32000:tgt=ground:random_seed=3303351627:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 7.44/1.39  % (289882)Instruction limit reached! 
% 7.44/1.39  % (289882)------------------------------
% 7.44/1.39  % (289882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289882)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289882)Termination reason: Instruction limit
% 7.44/1.39  % (289882)Termination phase: Saturation
% 7.44/1.39  % (289882)Time elapsed: 0.428 s
% 7.44/1.39  % (289882)Peak memory usage: 17 MB
% 7.44/1.39  % (289882)Instructions burned: 879 (million)
% 7.44/1.39  % (289928)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1304677715:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 7.44/1.39  % Exception at run slice level
% 7.44/1.39  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.44/1.39  % (289930)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3026911814:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 7.44/1.39  % (289930)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.44/1.39  % (289923)Instruction limit reached! 
% 7.44/1.39  % (289923)------------------------------
% 7.44/1.39  % (289923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289923)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289923)Termination reason: Instruction limit
% 7.44/1.39  % (289923)Termination phase: Saturation
% 7.44/1.39  % (289923)Time elapsed: 0.424 s
% 7.44/1.39  % (289923)Peak memory usage: 15 MB
% 7.44/1.39  % (289923)Instructions burned: 869 (million)
% 7.44/1.39  % (289932)dis+21_1_sil=32000:sas=cadical:random_seed=213248647:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 7.44/1.39  % (289916) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-289761-289916"...
% 7.44/1.39  % (289916)...printing done.
% 7.44/1.39  % (289916)Refutation found. Thanks to Tanya!
% 7.44/1.39  % SZS status Theorem for theBenchmark
% 7.44/1.39  % SZS output start Proof for theBenchmark
% See solution above
% 7.44/1.39  % (289916)------------------------------
% 7.44/1.39  % (289916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.44/1.39  % (289916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.39  % (289916)CaDiCaL version: 2.1.3
% 7.44/1.39  % (289916)Termination reason: Refutation
% 7.44/1.39  % (289916)Time elapsed: 0.703 s
% 7.44/1.39  % (289916)Peak memory usage: 24 MB
% 7.44/1.39  % (289916)Instructions burned: 2938 (million)
% 7.44/1.39  % (289761)Success in time 1.174 s
% 7.44/1.39  % Vampire exiting
%------------------------------------------------------------------------------