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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP168^1 : 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 : n005.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 08:10:57 AM UTC 2026

% Result   : Theorem 0.91s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  36 unt;   0 typ;   0 def)
%            Number of atoms       :  120 ( 100 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :  526 (   6   ~;   0   |;  40   &; 480   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  395 ( 392 usr;  13 con; 0-5 aty)
%            Number of variables   :   77 (  73   ^;   1   !;   3   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    view_e665166499t_unit: $tType ).

thf(type_def_6,type,
    view_e774982825t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_0,type,
    fun_up1431237090l_real: ( cars > real > real ) > cars > ( real > real ) > cars > real > real ).

thf(func_def_1,type,
    fun_upd_cars_nat_int: ( cars > nat_int ) > cars > nat_int > cars > nat_int ).

thf(func_def_2,type,
    minus_minus_real: real > real > real ).

thf(func_def_3,type,
    defaul1399868459t_unit: product_unit ).

thf(func_def_4,type,
    if_real_real: $o > ( real > real ) > ( real > real ) > real > real ).

thf(func_def_5,type,
    if_nat_int: $o > nat_int > nat_int > nat_int ).

thf(func_def_6,type,
    move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_7,type,
    nat_N_Chop: nat_int > nat_int > nat_int > $o ).

thf(func_def_8,type,
    nat_card: nat_int > nat ).

thf(func_def_9,type,
    nat_consec: nat_int > nat_int > $o ).

thf(func_def_10,type,
    nat_not_in: nat > nat_int > $o ).

thf(func_def_11,type,
    nat_union: nat_int > nat_int > nat_int ).

thf(func_def_12,type,
    bot_bot_nat_int: nat_int ).

thf(func_def_13,type,
    bot_bot_nat: nat ).

thf(func_def_14,type,
    bot_bot_Product_unit: product_unit ).

thf(func_def_15,type,
    ord_less_nat_int: nat_int > nat_int > $o ).

thf(func_def_16,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_17,type,
    ord_less_real_int: real_int > real_int > $o ).

thf(func_def_18,type,
    ord_le893810930at_int: view_ext_nat_int > view_ext_nat_int > $o ).

thf(func_def_19,type,
    ord_le1522419062xt_nat: view_ext_nat > view_ext_nat > $o ).

thf(func_def_20,type,
    ord_le1993783549t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_21,type,
    ord_le147108278al_int: view_ext_real_int > view_ext_real_int > $o ).

thf(func_def_22,type,
    ord_le750644047t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).

thf(func_def_23,type,
    ord_less_eq_nat_int: nat_int > nat_int > $o ).

thf(func_def_24,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_25,type,
    ord_le1997193645t_unit: product_unit > product_unit > $o ).

thf(func_def_26,type,
    ord_less_eq_real_int: real_int > real_int > $o ).

thf(func_def_27,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_28,type,
    ord_le1902160870at_int: view_ext_nat_int > view_ext_nat_int > $o ).

thf(func_def_29,type,
    ord_le1036425834xt_nat: view_ext_nat > view_ext_nat > $o ).

thf(func_def_30,type,
    ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_31,type,
    ord_le1863101098al_int: view_ext_real_int > view_ext_real_int > $o ).

thf(func_def_32,type,
    ord_le63244867t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).

thf(func_def_33,type,
    product_Unity: product_unit ).

thf(func_def_34,type,
    real_R_Chop: real_int > real_int > real_int > $o ).

thf(func_def_35,type,
    real_shift: real_int > real > real_int ).

thf(func_def_36,type,
    abstract: traffic > traffic > $o ).

thf(func_def_37,type,
    braking_distance: traffic > cars > real ).

thf(func_def_38,type,
    change_dyn: traffic > cars > ( real > real ) > traffic > $o ).

thf(func_def_39,type,
    clm: traffic > cars > nat_int ).

thf(func_def_40,type,
    create_claim: traffic > cars > nat > traffic > $o ).

thf(func_def_41,type,
    create_reservation: traffic > cars > traffic > $o ).

thf(func_def_42,type,
    dyn: traffic > cars > real > real ).

thf(func_def_43,type,
    evolve: traffic > traffic > $o ).

thf(func_def_44,type,
    physical_size: traffic > cars > real ).

thf(func_def_45,type,
    pos: traffic > cars > real ).

thf(func_def_46,type,
    res: traffic > cars > nat_int ).

thf(func_def_47,type,
    withdraw_claim: traffic > cars > traffic > $o ).

thf(func_def_48,type,
    withdraw_reservation: traffic > cars > nat > traffic > $o ).

thf(func_def_49,type,
    ext_nat_int: view_ext_nat_int > real_int ).

thf(func_def_50,type,
    ext_nat: view_ext_nat > real_int ).

thf(func_def_51,type,
    ext_Product_unit: view_e774982825t_unit > real_int ).

thf(func_def_52,type,
    ext_real_int: view_ext_real_int > real_int ).

thf(func_def_53,type,
    ext_vi2102772532t_unit: view_e665166499t_unit > real_int ).

thf(func_def_54,type,
    hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_55,type,
    lan_nat_int: view_ext_nat_int > nat_int ).

thf(func_def_56,type,
    lan_nat: view_ext_nat > nat_int ).

thf(func_def_57,type,
    lan_Product_unit: view_e774982825t_unit > nat_int ).

thf(func_def_58,type,
    lan_real_int: view_ext_real_int > nat_int ).

thf(func_def_59,type,
    lan_vi1543476748t_unit: view_e665166499t_unit > nat_int ).

thf(func_def_60,type,
    more_nat_int: view_ext_nat_int > nat_int ).

thf(func_def_61,type,
    more_nat: view_ext_nat > nat ).

thf(func_def_62,type,
    more_Product_unit: view_e774982825t_unit > product_unit ).

thf(func_def_63,type,
    more_real_int: view_ext_real_int > real_int ).

thf(func_def_64,type,
    more_v92543030t_unit: view_e665166499t_unit > view_e774982825t_unit ).

thf(func_def_65,type,
    own_nat_int: view_ext_nat_int > cars ).

thf(func_def_66,type,
    own_nat: view_ext_nat > cars ).

thf(func_def_67,type,
    own_Product_unit: view_e774982825t_unit > cars ).

thf(func_def_68,type,
    own_real_int: view_ext_real_int > cars ).

thf(func_def_69,type,
    own_vi676290681t_unit: view_e665166499t_unit > cars ).

thf(func_def_70,type,
    switch: view_e774982825t_unit > cars > view_e774982825t_unit > $o ).

thf(func_def_71,type,
    view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit ).

thf(func_def_72,type,
    ts: traffic ).

thf(func_def_73,type,
    ts2: traffic ).

thf(func_def_74,type,
    ts_a: traffic ).

thf(func_def_75,type,
    ts3: traffic ).

thf(func_def_76,type,
    v: view_e774982825t_unit ).

thf(func_def_80,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_81,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_82,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_83,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_84,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_85,type,
    vAND: $o > $o > $o ).

thf(func_def_86,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_87,type,
    vOR: $o > $o > $o ).

thf(func_def_88,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_89,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_90,type,
    vIMP: $o > $o > $o ).

thf(func_def_91,type,
    vNOT: $o > $o ).

thf(func_def_92,type,
    sP0: traffic > ( traffic > $o ) > $o ).

thf(func_def_93,type,
    sP1: traffic > ( traffic > $o ) > $o ).

thf(func_def_94,type,
    sP2: traffic > ( traffic > $o ) > $o ).

thf(func_def_95,type,
    sP3: traffic > ( traffic > $o ) > $o ).

thf(func_def_96,type,
    sP4: traffic > traffic > $o ).

thf(func_def_97,type,
    sP5: traffic > traffic > $o ).

thf(func_def_98,type,
    sP6: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > $o ).

thf(func_def_99,type,
    sP7: nat > nat > nat > $o ).

thf(func_def_100,type,
    sP8: nat > nat > nat > $o ).

thf(func_def_101,type,
    sP9: nat > nat > nat > $o ).

thf(func_def_102,type,
    sK10: cars ).

thf(func_def_103,type,
    sK11: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).

thf(func_def_104,type,
    sK12: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).

thf(func_def_105,type,
    sK13: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_106,type,
    sK14: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_107,type,
    sK15: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_108,type,
    sK16: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_109,type,
    sK17: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_110,type,
    sK18: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_111,type,
    sK19: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_112,type,
    sK20: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_113,type,
    sK21: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_114,type,
    sK22: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_115,type,
    sK23: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_116,type,
    sK24: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_117,type,
    sK25: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_118,type,
    sK26: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_119,type,
    sK27: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_120,type,
    sK28: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_121,type,
    sK29: view_e774982825t_unit > real_int ).

thf(func_def_122,type,
    sK30: view_e774982825t_unit > nat_int ).

thf(func_def_123,type,
    sK31: view_e774982825t_unit > cars ).

thf(func_def_124,type,
    sK32: ( view_e774982825t_unit > $o ) > real_int ).

thf(func_def_125,type,
    sK33: ( view_e774982825t_unit > $o ) > nat_int ).

thf(func_def_126,type,
    sK34: ( view_e774982825t_unit > $o ) > cars ).

thf(func_def_127,type,
    sK35: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_128,type,
    sK36: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_129,type,
    sK37: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_130,type,
    sK38: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_131,type,
    sK39: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_132,type,
    sK40: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_133,type,
    sK41: ( view_e774982825t_unit > $o ) > real_int ).

thf(func_def_134,type,
    sK42: ( view_e774982825t_unit > $o ) > nat_int ).

thf(func_def_135,type,
    sK43: ( view_e774982825t_unit > $o ) > cars ).

thf(func_def_136,type,
    sK44: ( view_e774982825t_unit > $o ) > product_unit ).

thf(func_def_137,type,
    sK45: view_e774982825t_unit > real_int ).

thf(func_def_138,type,
    sK46: view_e774982825t_unit > nat_int ).

thf(func_def_139,type,
    sK47: view_e774982825t_unit > cars ).

thf(func_def_140,type,
    sK48: view_e774982825t_unit > product_unit ).

thf(func_def_141,type,
    sK49: traffic > cars > traffic ).

thf(func_def_142,type,
    sK50: traffic > ( traffic > $o ) > traffic ).

thf(func_def_143,type,
    sK51: traffic > ( traffic > $o ) > traffic ).

thf(func_def_144,type,
    sK52: traffic > ( traffic > $o ) > cars ).

thf(func_def_145,type,
    sK53: traffic > ( traffic > $o ) > traffic ).

thf(func_def_146,type,
    sK54: traffic > ( traffic > $o ) > traffic ).

thf(func_def_147,type,
    sK55: traffic > ( traffic > $o ) > cars ).

thf(func_def_148,type,
    sK56: traffic > ( traffic > $o ) > traffic ).

thf(func_def_149,type,
    sK57: traffic > ( traffic > $o ) > traffic ).

thf(func_def_150,type,
    sK58: traffic > ( traffic > $o ) > cars ).

thf(func_def_151,type,
    sK59: traffic > ( traffic > $o ) > nat ).

thf(func_def_152,type,
    sK60: traffic > ( traffic > $o ) > traffic ).

thf(func_def_153,type,
    sK61: traffic > ( traffic > $o ) > traffic ).

thf(func_def_154,type,
    sK62: ( traffic > $o ) > traffic > traffic ).

thf(func_def_155,type,
    sK63: ( traffic > $o ) > traffic > traffic ).

thf(func_def_156,type,
    sK64: ( traffic > $o ) > traffic > cars ).

thf(func_def_157,type,
    sK65: ( traffic > $o ) > traffic > nat ).

thf(func_def_158,type,
    sK66: traffic > traffic > traffic ).

thf(func_def_159,type,
    sK67: traffic > traffic > cars ).

thf(func_def_160,type,
    sK68: traffic > traffic > nat ).

thf(func_def_161,type,
    sK69: traffic > traffic > traffic ).

thf(func_def_162,type,
    sK70: traffic > traffic > traffic ).

thf(func_def_163,type,
    sK71: traffic > traffic > cars ).

thf(func_def_164,type,
    sK72: traffic > traffic > nat ).

thf(func_def_165,type,
    sK73: traffic > traffic > traffic ).

thf(func_def_166,type,
    sK74: traffic > traffic > cars ).

thf(func_def_167,type,
    sK75: traffic > traffic > traffic ).

thf(func_def_168,type,
    sK76: traffic > traffic > cars ).

thf(func_def_169,type,
    sK77: real_int > real_int ).

thf(func_def_170,type,
    sK78: real_int > real_int ).

thf(func_def_171,type,
    sK79: real_int > real_int ).

thf(func_def_172,type,
    sK80: real_int > real_int ).

thf(func_def_173,type,
    sK81: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars ).

thf(func_def_174,type,
    sK82: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_175,type,
    sK83: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_176,type,
    sK84: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_177,type,
    sK85: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_178,type,
    sK86: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_179,type,
    sK87: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_180,type,
    sK88: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).

thf(func_def_181,type,
    sK89: view_e774982825t_unit > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).

thf(func_def_182,type,
    sK90: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > traffic > view_e774982825t_unit ).

thf(func_def_183,type,
    sK91: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_184,type,
    sK92: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_185,type,
    sK93: cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_186,type,
    sK94: view_e774982825t_unit > cars ).

thf(func_def_187,type,
    sK95: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_188,type,
    sK96: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_189,type,
    sK97: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_190,type,
    sK98: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_191,type,
    sK99: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_192,type,
    sK100: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_193,type,
    sK101: ( nat_int > nat_int ) > nat_int ).

thf(func_def_194,type,
    sK102: ( nat_int > nat_int ) > nat_int ).

thf(func_def_195,type,
    sK103: ( real_int > nat_int ) > real_int ).

thf(func_def_196,type,
    sK104: ( real_int > nat_int ) > real_int ).

thf(func_def_197,type,
    sK105: ( nat > nat_int ) > nat ).

thf(func_def_198,type,
    sK106: ( nat > nat_int ) > nat ).

thf(func_def_199,type,
    sK107: ( nat_int > real_int ) > nat_int ).

thf(func_def_200,type,
    sK108: ( nat_int > real_int ) > nat_int ).

thf(func_def_201,type,
    sK109: ( real_int > real_int ) > real_int ).

thf(func_def_202,type,
    sK110: ( real_int > real_int ) > real_int ).

thf(func_def_203,type,
    sK111: ( nat > real_int ) > nat ).

thf(func_def_204,type,
    sK112: ( nat > real_int ) > nat ).

thf(func_def_205,type,
    sK113: ( nat_int > nat ) > nat_int ).

thf(func_def_206,type,
    sK114: ( nat_int > nat ) > nat_int ).

thf(func_def_207,type,
    sK115: ( real_int > nat ) > real_int ).

thf(func_def_208,type,
    sK116: ( real_int > nat ) > real_int ).

thf(func_def_209,type,
    sK117: ( nat > nat ) > nat ).

thf(func_def_210,type,
    sK118: ( nat > nat ) > nat ).

thf(func_def_211,type,
    sK119: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).

thf(func_def_212,type,
    sK120: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).

thf(func_def_213,type,
    sK121: ( nat_int > nat_int ) > nat_int ).

thf(func_def_214,type,
    sK122: ( nat_int > nat_int ) > nat_int ).

thf(func_def_215,type,
    sK123: ( nat_int > real_int ) > nat_int ).

thf(func_def_216,type,
    sK124: ( nat_int > real_int ) > nat_int ).

thf(func_def_217,type,
    sK125: ( nat_int > nat ) > nat_int ).

thf(func_def_218,type,
    sK126: ( nat_int > nat ) > nat_int ).

thf(func_def_219,type,
    sK127: ( real_int > nat_int ) > real_int ).

thf(func_def_220,type,
    sK128: ( real_int > nat_int ) > real_int ).

thf(func_def_221,type,
    sK129: ( real_int > real_int ) > real_int ).

thf(func_def_222,type,
    sK130: ( real_int > real_int ) > real_int ).

thf(func_def_223,type,
    sK131: ( real_int > nat ) > real_int ).

thf(func_def_224,type,
    sK132: ( real_int > nat ) > real_int ).

thf(func_def_225,type,
    sK133: ( nat > nat_int ) > nat ).

thf(func_def_226,type,
    sK134: ( nat > nat_int ) > nat ).

thf(func_def_227,type,
    sK135: ( nat > real_int ) > nat ).

thf(func_def_228,type,
    sK136: ( nat > real_int ) > nat ).

thf(func_def_229,type,
    sK137: ( nat > nat ) > nat ).

thf(func_def_230,type,
    sK138: ( nat > nat ) > nat ).

thf(func_def_231,type,
    sK139: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_232,type,
    sK140: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_233,type,
    sK141: ( nat_int > nat_int ) > nat_int ).

thf(func_def_234,type,
    sK142: ( nat_int > nat_int ) > nat_int ).

thf(func_def_235,type,
    sK143: ( nat_int > real_int ) > nat_int ).

thf(func_def_236,type,
    sK144: ( nat_int > real_int ) > nat_int ).

thf(func_def_237,type,
    sK145: ( nat_int > nat ) > nat_int ).

thf(func_def_238,type,
    sK146: ( nat_int > nat ) > nat_int ).

thf(func_def_239,type,
    sK147: ( real_int > nat_int ) > real_int ).

thf(func_def_240,type,
    sK148: ( real_int > nat_int ) > real_int ).

thf(func_def_241,type,
    sK149: ( real_int > real_int ) > real_int ).

thf(func_def_242,type,
    sK150: ( real_int > real_int ) > real_int ).

thf(func_def_243,type,
    sK151: ( real_int > nat ) > real_int ).

thf(func_def_244,type,
    sK152: ( real_int > nat ) > real_int ).

thf(func_def_245,type,
    sK153: ( nat > nat_int ) > nat ).

thf(func_def_246,type,
    sK154: ( nat > nat_int ) > nat ).

thf(func_def_247,type,
    sK155: ( nat > real_int ) > nat ).

thf(func_def_248,type,
    sK156: ( nat > real_int ) > nat ).

thf(func_def_249,type,
    sK157: ( nat > nat ) > nat ).

thf(func_def_250,type,
    sK158: ( nat > nat ) > nat ).

thf(func_def_251,type,
    sK159: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_252,type,
    sK160: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_253,type,
    sK161: ( nat_int > nat_int ) > nat_int ).

thf(func_def_254,type,
    sK162: ( nat_int > nat_int ) > nat_int ).

thf(func_def_255,type,
    sK163: ( nat_int > real_int ) > nat_int ).

thf(func_def_256,type,
    sK164: ( nat_int > real_int ) > nat_int ).

thf(func_def_257,type,
    sK165: ( nat_int > nat ) > nat_int ).

thf(func_def_258,type,
    sK166: ( nat_int > nat ) > nat_int ).

thf(func_def_259,type,
    sK167: ( real_int > nat_int ) > real_int ).

thf(func_def_260,type,
    sK168: ( real_int > nat_int ) > real_int ).

thf(func_def_261,type,
    sK169: ( real_int > real_int ) > real_int ).

thf(func_def_262,type,
    sK170: ( real_int > real_int ) > real_int ).

thf(func_def_263,type,
    sK171: ( real_int > nat ) > real_int ).

thf(func_def_264,type,
    sK172: ( real_int > nat ) > real_int ).

thf(func_def_265,type,
    sK173: ( nat > nat_int ) > nat ).

thf(func_def_266,type,
    sK174: ( nat > nat_int ) > nat ).

thf(func_def_267,type,
    sK175: ( nat > real_int ) > nat ).

thf(func_def_268,type,
    sK176: ( nat > real_int ) > nat ).

thf(func_def_269,type,
    sK177: ( nat > nat ) > nat ).

thf(func_def_270,type,
    sK178: ( nat > nat ) > nat ).

thf(func_def_271,type,
    sK179: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_272,type,
    sK180: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_273,type,
    sK181: ( nat > nat > $o ) > nat ).

thf(func_def_274,type,
    sK182: ( nat > nat > $o ) > nat ).

thf(func_def_275,type,
    sK183: ( nat > nat > $o ) > nat ).

thf(func_def_276,type,
    sK184: ( nat > nat > $o ) > nat ).

thf(func_def_277,type,
    sK185: ( nat_int > nat_int ) > nat_int ).

thf(func_def_278,type,
    sK186: ( nat_int > nat_int ) > nat_int ).

thf(func_def_279,type,
    sK187: ( nat > nat_int ) > nat ).

thf(func_def_280,type,
    sK188: ( nat > nat_int ) > nat ).

thf(func_def_281,type,
    sK189: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_282,type,
    sK190: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_283,type,
    sK191: ( nat > view_e774982825t_unit ) > nat ).

thf(func_def_284,type,
    sK192: ( nat > view_e774982825t_unit ) > nat ).

thf(func_def_285,type,
    sK193: ( nat_int > real_int ) > nat_int ).

thf(func_def_286,type,
    sK194: ( nat_int > real_int ) > nat_int ).

thf(func_def_287,type,
    sK195: ( nat > real_int ) > nat ).

thf(func_def_288,type,
    sK196: ( nat > real_int ) > nat ).

thf(func_def_289,type,
    sK197: ( nat_int > nat ) > nat_int ).

thf(func_def_290,type,
    sK198: ( nat_int > nat ) > nat_int ).

thf(func_def_291,type,
    sK199: ( nat > nat ) > nat ).

thf(func_def_292,type,
    sK200: ( nat > nat ) > nat ).

thf(func_def_293,type,
    sK201: ( nat_int > nat_int ) > nat_int ).

thf(func_def_294,type,
    sK202: ( nat_int > nat_int ) > nat_int ).

thf(func_def_295,type,
    sK203: ( nat_int > real_int ) > nat_int ).

thf(func_def_296,type,
    sK204: ( nat_int > real_int ) > nat_int ).

thf(func_def_297,type,
    sK205: ( nat_int > nat ) > nat_int ).

thf(func_def_298,type,
    sK206: ( nat_int > nat ) > nat_int ).

thf(func_def_299,type,
    sK207: ( real_int > nat_int ) > real_int ).

thf(func_def_300,type,
    sK208: ( real_int > nat_int ) > real_int ).

thf(func_def_301,type,
    sK209: ( real_int > real_int ) > real_int ).

thf(func_def_302,type,
    sK210: ( real_int > real_int ) > real_int ).

thf(func_def_303,type,
    sK211: ( real_int > nat ) > real_int ).

thf(func_def_304,type,
    sK212: ( real_int > nat ) > real_int ).

thf(func_def_305,type,
    sK213: ( nat > nat_int ) > nat ).

thf(func_def_306,type,
    sK214: ( nat > nat_int ) > nat ).

thf(func_def_307,type,
    sK215: ( nat > real_int ) > nat ).

thf(func_def_308,type,
    sK216: ( nat > real_int ) > nat ).

thf(func_def_309,type,
    sK217: ( nat > nat ) > nat ).

thf(func_def_310,type,
    sK218: ( nat > nat ) > nat ).

thf(func_def_311,type,
    sK219: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_312,type,
    sK220: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_313,type,
    sK221: ( nat_int > nat_int ) > nat_int ).

thf(func_def_314,type,
    sK222: ( nat_int > nat_int ) > nat_int ).

thf(func_def_315,type,
    sK223: ( nat_int > real_int ) > nat_int ).

thf(func_def_316,type,
    sK224: ( nat_int > real_int ) > nat_int ).

thf(func_def_317,type,
    sK225: ( nat_int > nat ) > nat_int ).

thf(func_def_318,type,
    sK226: ( nat_int > nat ) > nat_int ).

thf(func_def_319,type,
    sK227: ( real_int > nat_int ) > real_int ).

thf(func_def_320,type,
    sK228: ( real_int > nat_int ) > real_int ).

thf(func_def_321,type,
    sK229: ( real_int > real_int ) > real_int ).

thf(func_def_322,type,
    sK230: ( real_int > real_int ) > real_int ).

thf(func_def_323,type,
    sK231: ( real_int > nat ) > real_int ).

thf(func_def_324,type,
    sK232: ( real_int > nat ) > real_int ).

thf(func_def_325,type,
    sK233: ( nat > nat_int ) > nat ).

thf(func_def_326,type,
    sK234: ( nat > nat_int ) > nat ).

thf(func_def_327,type,
    sK235: ( nat > real_int ) > nat ).

thf(func_def_328,type,
    sK236: ( nat > real_int ) > nat ).

thf(func_def_329,type,
    sK237: ( nat > nat ) > nat ).

thf(func_def_330,type,
    sK238: ( nat > nat ) > nat ).

thf(func_def_331,type,
    sK239: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_332,type,
    sK240: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_333,type,
    sK241: ( nat_int > nat_int ) > nat_int ).

thf(func_def_334,type,
    sK242: ( nat_int > nat_int ) > nat_int ).

thf(func_def_335,type,
    sK243: ( nat > nat_int ) > nat ).

thf(func_def_336,type,
    sK244: ( nat > nat_int ) > nat ).

thf(func_def_337,type,
    sK245: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_338,type,
    sK246: ( nat_int > view_e774982825t_unit ) > nat_int ).

thf(func_def_339,type,
    sK247: ( nat > view_e774982825t_unit ) > nat ).

thf(func_def_340,type,
    sK248: ( nat > view_e774982825t_unit ) > nat ).

thf(func_def_341,type,
    sK249: ( nat_int > real_int ) > nat_int ).

thf(func_def_342,type,
    sK250: ( nat_int > real_int ) > nat_int ).

thf(func_def_343,type,
    sK251: ( nat > real_int ) > nat ).

thf(func_def_344,type,
    sK252: ( nat > real_int ) > nat ).

thf(func_def_345,type,
    sK253: ( nat_int > nat ) > nat_int ).

thf(func_def_346,type,
    sK254: ( nat_int > nat ) > nat_int ).

thf(func_def_347,type,
    sK255: ( nat > nat ) > nat ).

thf(func_def_348,type,
    sK256: ( nat > nat ) > nat ).

thf(func_def_349,type,
    sK257: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_350,type,
    sK258: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).

thf(func_def_351,type,
    sK259: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_352,type,
    sK260: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_353,type,
    sK261: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_354,type,
    sK262: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_355,type,
    sK263: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_356,type,
    sK264: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_357,type,
    sK265: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_358,type,
    sK266: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_359,type,
    sK267: cars > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_360,type,
    sK268: cars > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_361,type,
    sK269: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_362,type,
    sK270: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_363,type,
    sK271: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_364,type,
    sK272: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_365,type,
    sK273: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_366,type,
    sK274: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_367,type,
    sK275: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_368,type,
    sK276: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_369,type,
    sK277: view_e774982825t_unit > nat > view_e774982825t_unit ).

thf(func_def_370,type,
    sK278: view_e774982825t_unit > nat > view_e774982825t_unit ).

thf(func_def_371,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_372,type,
    sK279: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_373,type,
    sK280: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_374,type,
    sK281: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_375,type,
    sK282: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_376,type,
    sK283: ( 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_377,type,
    sK284: ( 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_378,type,
    sK285: ( 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_379,type,
    sK286: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_380,type,
    sK287: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_381,type,
    sK288: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_382,type,
    sK289: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_383,type,
    sK290: ( 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_384,type,
    sK291: ( 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_385,type,
    sK292: ( 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_386,type,
    sK293: ( 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_387,type,
    sK294: ( 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_388,type,
    sK295: ( 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_389,type,
    sK296: ( 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_390,type,
    sK297: ( 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_391,type,
    sK298: ( 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_392,type,
    sK299: ( 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_393,type,
    sK300: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(f2,axiom,
    ? [X0: cars] : ( create_reservation @ ts_a @ X0 @ ts ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cr__res_Ohyps_I2_J) ).

thf(f8,axiom,
    ( move
    = ( ^ [X0: traffic,X1: traffic,X2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ X2 ) @ ( minus_minus_real @ ( pos @ X1 @ ( own_Product_unit @ X2 ) ) @ ( pos @ X0 @ ( own_Product_unit @ X2 ) ) ) ) @ ( lan_Product_unit @ X2 ) @ ( own_Product_unit @ X2 ) @ product_Unity ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_traffic_Omove__def) ).

thf(f45,axiom,
    ( create_reservation
    = ( ^ [X0: traffic,X1: cars,X2: traffic] :
          ( ( ( braking_distance @ X2 )
            = ( braking_distance @ X0 ) )
          & ( ( physical_size @ X2 )
            = ( physical_size @ X0 ) )
          & ( ( clm @ X2 )
            = ( fun_upd_cars_nat_int @ ( clm @ X0 ) @ X1 @ bot_bot_nat_int ) )
          & ( ( dyn @ X2 )
            = ( dyn @ X0 ) )
          & ( ( res @ X2 )
            = ( fun_upd_cars_nat_int @ ( res @ X0 ) @ X1 @ ( nat_union @ ( res @ X0 @ X1 ) @ ( clm @ X0 @ X1 ) ) ) )
          & ( ( pos @ X2 )
            = ( pos @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_traffic_Ocreate__reservation__def) ).

thf(f64,axiom,
    ( fun_upd_cars_nat_int
    = ( ^ [X0: cars > nat_int,X1: cars,X2: nat_int,X3: cars] : ( if_nat_int @ ( X3 = X1 ) @ X2 @ ( X0 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_fun__upd__apply) ).

thf(f118,axiom,
    bot_bot_Product_unit = product_Unity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_bot__unit__def) ).

thf(f358,conjecture,
    ( ( move @ ts3 @ ts_a @ v )
    = ( move @ ts3 @ ts @ v ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f359,negated_conjecture,
    ( ( move @ ts3 @ ts_a @ v )
   != ( move @ ts3 @ ts @ v ) ),
    inference(negated_conjecture,[status(cth)],[f358]) ).

thf(f362,plain,
    ? [X0: cars] : ( create_reservation @ ts_a @ X0 @ ts ),
    inference(rectify,[],[f2]) ).

thf(f363,plain,
    ? [X0: cars] :
      ( ( create_reservation @ ts_a @ X0 @ ts )
      = $true ),
    inference(fool_elimination,[],[f362]) ).

thf(f370,plain,
    ( move
    = ( ^ [Y0: traffic,Y1: traffic,Y2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ Y2 ) @ ( minus_minus_real @ ( pos @ Y1 @ ( own_Product_unit @ Y2 ) ) @ ( pos @ Y0 @ ( own_Product_unit @ Y2 ) ) ) ) @ ( lan_Product_unit @ Y2 ) @ ( own_Product_unit @ Y2 ) @ product_Unity ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f430,plain,
    ( create_reservation
    = ( ^ [Y0: traffic,Y1: cars,Y2: traffic] :
          ( ( ( pos @ Y0 )
            = ( pos @ Y2 ) )
          & ( ( res @ Y2 )
            = ( fun_upd_cars_nat_int @ ( res @ Y0 ) @ Y1 @ ( nat_union @ ( res @ Y0 @ Y1 ) @ ( clm @ Y0 @ Y1 ) ) ) )
          & ( ( dyn @ Y2 )
            = ( dyn @ Y0 ) )
          & ( ( clm @ Y2 )
            = ( fun_upd_cars_nat_int @ ( clm @ Y0 ) @ Y1 @ bot_bot_nat_int ) )
          & ( ( physical_size @ Y2 )
            = ( physical_size @ Y0 ) )
          & ( ( braking_distance @ Y2 )
            = ( braking_distance @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f45]) ).

thf(f452,plain,
    ( fun_upd_cars_nat_int
    = ( ^ [X0: cars > nat_int,X1: cars,X2: nat_int,X3: cars] : ( if_nat_int @ ( X3 = X1 ) @ X2 @ ( X0 @ X3 ) ) ) ),
    inference(rectify,[],[f64]) ).

thf(f453,plain,
    ( fun_upd_cars_nat_int
    = ( ^ [Y0: cars > nat_int,Y1: cars,Y2: nat_int,Y3: cars] : ( if_nat_int @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) ) ) ),
    inference(fool_elimination,[],[f452]) ).

thf(f1021,plain,
    ( ( move @ ts3 @ ts_a @ v )
   != ( move @ ts3 @ ts @ v ) ),
    inference(flattening,[],[f359]) ).

thf(f1434,plain,
    ( $true
    = ( create_reservation @ ts_a @ sK10 @ ts ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f363]) ).

thf(f1585,plain,
    ( $true
    = ( create_reservation @ ts_a @ sK10 @ ts ) ),
    inference(cnf_transformation,[],[f1434]) ).

thf(f1593,plain,
    ( move
    = ( ^ [Y0: traffic,Y1: traffic,Y2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ Y2 ) @ ( minus_minus_real @ ( pos @ Y1 @ ( own_Product_unit @ Y2 ) ) @ ( pos @ Y0 @ ( own_Product_unit @ Y2 ) ) ) ) @ ( lan_Product_unit @ Y2 ) @ ( own_Product_unit @ Y2 ) @ product_Unity ) ) ),
    inference(cnf_transformation,[],[f370]) ).

thf(f1642,plain,
    ( create_reservation
    = ( ^ [Y0: traffic,Y1: cars,Y2: traffic] :
          ( ( ( pos @ Y0 )
            = ( pos @ Y2 ) )
          & ( ( res @ Y2 )
            = ( fun_upd_cars_nat_int @ ( res @ Y0 ) @ Y1 @ ( nat_union @ ( res @ Y0 @ Y1 ) @ ( clm @ Y0 @ Y1 ) ) ) )
          & ( ( dyn @ Y2 )
            = ( dyn @ Y0 ) )
          & ( ( clm @ Y2 )
            = ( fun_upd_cars_nat_int @ ( clm @ Y0 ) @ Y1 @ bot_bot_nat_int ) )
          & ( ( physical_size @ Y2 )
            = ( physical_size @ Y0 ) )
          & ( ( braking_distance @ Y2 )
            = ( braking_distance @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f430]) ).

thf(f1691,plain,
    ( fun_upd_cars_nat_int
    = ( ^ [Y0: cars > nat_int,Y1: cars,Y2: nat_int,Y3: cars] : ( if_nat_int @ ( Y1 = Y3 ) @ Y2 @ ( Y0 @ Y3 ) ) ) ),
    inference(cnf_transformation,[],[f453]) ).

thf(f1768,plain,
    product_Unity = bot_bot_Product_unit,
    inference(cnf_transformation,[],[f118]) ).

thf(f2104,plain,
    ( ( move @ ts3 @ ts_a @ v )
   != ( move @ ts3 @ ts @ v ) ),
    inference(cnf_transformation,[],[f1021]) ).

thf(f2107,plain,
    ( move
    = ( ^ [Y0: traffic,Y1: traffic,Y2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ Y2 ) @ ( minus_minus_real @ ( pos @ Y1 @ ( own_Product_unit @ Y2 ) ) @ ( pos @ Y0 @ ( own_Product_unit @ Y2 ) ) ) ) @ ( lan_Product_unit @ Y2 ) @ ( own_Product_unit @ Y2 ) @ bot_bot_Product_unit ) ) ),
    inference(definition_unfolding,[],[f1593,f1768]) ).

thf(f2111,plain,
    ( create_reservation
    = ( ^ [Y0: traffic,Y1: cars,Y2: traffic] :
          ( ( ( pos @ Y0 )
            = ( pos @ Y2 ) )
          & ( ( res @ Y2 )
            = ( ^ [Y3: cars > nat_int,Y4: cars,Y5: nat_int,Y6: cars] : ( if_nat_int @ ( Y4 = Y6 ) @ Y5 @ ( Y3 @ Y6 ) )
              @ ( res @ Y0 )
              @ Y1
              @ ( nat_union @ ( res @ Y0 @ Y1 ) @ ( clm @ Y0 @ Y1 ) ) ) )
          & ( ( dyn @ Y2 )
            = ( dyn @ Y0 ) )
          & ( ( clm @ Y2 )
            = ( ^ [Y3: cars > nat_int,Y4: cars,Y5: nat_int,Y6: cars] : ( if_nat_int @ ( Y4 = Y6 ) @ Y5 @ ( Y3 @ Y6 ) )
              @ ( clm @ Y0 )
              @ Y1
              @ bot_bot_nat_int ) )
          & ( ( physical_size @ Y2 )
            = ( physical_size @ Y0 ) )
          & ( ( braking_distance @ Y2 )
            = ( braking_distance @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[],[f1642,f1691,f1691]) ).

thf(f2116,plain,
    ( $true
    = ( ^ [Y0: traffic,Y1: cars,Y2: traffic] :
          ( ( ( pos @ Y0 )
            = ( pos @ Y2 ) )
          & ( ( res @ Y2 )
            = ( ^ [Y3: cars > nat_int,Y4: cars,Y5: nat_int,Y6: cars] : ( if_nat_int @ ( Y4 = Y6 ) @ Y5 @ ( Y3 @ Y6 ) )
              @ ( res @ Y0 )
              @ Y1
              @ ( nat_union @ ( res @ Y0 @ Y1 ) @ ( clm @ Y0 @ Y1 ) ) ) )
          & ( ( dyn @ Y2 )
            = ( dyn @ Y0 ) )
          & ( ( clm @ Y2 )
            = ( ^ [Y3: cars > nat_int,Y4: cars,Y5: nat_int,Y6: cars] : ( if_nat_int @ ( Y4 = Y6 ) @ Y5 @ ( Y3 @ Y6 ) )
              @ ( clm @ Y0 )
              @ Y1
              @ bot_bot_nat_int ) )
          & ( ( physical_size @ Y2 )
            = ( physical_size @ Y0 ) )
          & ( ( braking_distance @ Y2 )
            = ( braking_distance @ Y0 ) ) )
      @ ts_a
      @ sK10
      @ ts ) ),
    inference(definition_unfolding,[],[f1585,f2111]) ).

thf(f2385,plain,
    ( ( ^ [Y0: traffic,Y1: traffic,Y2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ Y2 ) @ ( minus_minus_real @ ( pos @ Y1 @ ( own_Product_unit @ Y2 ) ) @ ( pos @ Y0 @ ( own_Product_unit @ Y2 ) ) ) ) @ ( lan_Product_unit @ Y2 ) @ ( own_Product_unit @ Y2 ) @ bot_bot_Product_unit )
      @ ts3
      @ ts_a
      @ v )
   != ( ^ [Y0: traffic,Y1: traffic,Y2: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ Y2 ) @ ( minus_minus_real @ ( pos @ Y1 @ ( own_Product_unit @ Y2 ) ) @ ( pos @ Y0 @ ( own_Product_unit @ Y2 ) ) ) ) @ ( lan_Product_unit @ Y2 ) @ ( own_Product_unit @ Y2 ) @ bot_bot_Product_unit )
      @ ts3
      @ ts
      @ v ) ),
    inference(definition_unfolding,[],[f2104,f2107,f2107]) ).

thf(f2444,plain,
    ( ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ v ) @ ( minus_minus_real @ ( pos @ ts_a @ ( own_Product_unit @ v ) ) @ ( pos @ ts3 @ ( own_Product_unit @ v ) ) ) ) @ ( lan_Product_unit @ v ) @ ( own_Product_unit @ v ) @ bot_bot_Product_unit )
   != ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ v ) @ ( minus_minus_real @ ( pos @ ts @ ( own_Product_unit @ v ) ) @ ( pos @ ts3 @ ( own_Product_unit @ v ) ) ) ) @ ( lan_Product_unit @ v ) @ ( own_Product_unit @ v ) @ bot_bot_Product_unit ) ),
    inference(beta-eta_normalization,[],[f2385]) ).

thf(f19902,plain,
    ( $true
    = ( ( ( pos @ ts_a )
        = ( pos @ ts ) )
      & ( ( res @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ ( nat_union @ ( res @ ts_a @ sK10 ) @ ( clm @ ts_a @ sK10 ) ) @ ( res @ ts_a @ Y0 ) ) ) )
      & ( ( dyn @ ts )
        = ( dyn @ ts_a ) )
      & ( ( clm @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ bot_bot_nat_int @ ( clm @ ts_a @ Y0 ) ) ) )
      & ( ( physical_size @ ts )
        = ( physical_size @ ts_a ) )
      & ( ( braking_distance @ ts )
        = ( braking_distance @ ts_a ) ) ) ),
    inference(beta-eta_normalization,[],[f2116]) ).

thf(f19904,plain,
    ( $true
    = ( ( ( pos @ ts_a )
        = ( pos @ ts ) )
      & ( ( res @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ ( nat_union @ ( res @ ts_a @ sK10 ) @ ( clm @ ts_a @ sK10 ) ) @ ( res @ ts_a @ Y0 ) ) ) )
      & ( ( dyn @ ts )
        = ( dyn @ ts_a ) )
      & ( ( clm @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ bot_bot_nat_int @ ( clm @ ts_a @ Y0 ) ) ) )
      & ( ( physical_size @ ts )
        = ( physical_size @ ts_a ) ) ) ),
    inference(and_proxy_clausification,[],[f19902]) ).

thf(f19906,plain,
    ( $true
    = ( ( ( pos @ ts_a )
        = ( pos @ ts ) )
      & ( ( res @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ ( nat_union @ ( res @ ts_a @ sK10 ) @ ( clm @ ts_a @ sK10 ) ) @ ( res @ ts_a @ Y0 ) ) ) )
      & ( ( dyn @ ts )
        = ( dyn @ ts_a ) )
      & ( ( clm @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ bot_bot_nat_int @ ( clm @ ts_a @ Y0 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f19904]) ).

thf(f19908,plain,
    ( $true
    = ( ( ( pos @ ts_a )
        = ( pos @ ts ) )
      & ( ( res @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ ( nat_union @ ( res @ ts_a @ sK10 ) @ ( clm @ ts_a @ sK10 ) ) @ ( res @ ts_a @ Y0 ) ) ) )
      & ( ( dyn @ ts )
        = ( dyn @ ts_a ) ) ) ),
    inference(and_proxy_clausification,[],[f19906]) ).

thf(f19910,plain,
    ( $true
    = ( ( ( pos @ ts_a )
        = ( pos @ ts ) )
      & ( ( res @ ts )
        = ( ^ [Y0: cars] : ( if_nat_int @ ( sK10 = Y0 ) @ ( nat_union @ ( res @ ts_a @ sK10 ) @ ( clm @ ts_a @ sK10 ) ) @ ( res @ ts_a @ Y0 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f19908]) ).

thf(f19912,plain,
    ( $true
    = ( ( pos @ ts_a )
      = ( pos @ ts ) ) ),
    inference(and_proxy_clausification,[],[f19910]) ).

thf(f19913,plain,
    ( ( pos @ ts_a )
    = ( pos @ ts ) ),
    inference(equality_proxy_clausification,[],[f19912]) ).

thf(f22720,plain,
    ! [X1: cars] :
      ( ( pos @ ts_a @ X1 )
      = ( pos @ ts @ X1 ) ),
    inference(argument_congruence,[],[f19913]) ).

thf(f22727,plain,
    ( ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ v ) @ ( minus_minus_real @ ( pos @ ts_a @ ( own_Product_unit @ v ) ) @ ( pos @ ts3 @ ( own_Product_unit @ v ) ) ) ) @ ( lan_Product_unit @ v ) @ ( own_Product_unit @ v ) @ bot_bot_Product_unit )
   != ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ v ) @ ( minus_minus_real @ ( pos @ ts_a @ ( own_Product_unit @ v ) ) @ ( pos @ ts3 @ ( own_Product_unit @ v ) ) ) ) @ ( lan_Product_unit @ v ) @ ( own_Product_unit @ v ) @ bot_bot_Product_unit ) ),
    inference(constrained_superposition,[],[f2444,f22720]) ).

thf(f22772,plain,
    $false,
    inference(trivial_inequality_removal,[],[f22727]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP168^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n005.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 20:04:47 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  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
% 0.91/0.46  % (2138978)Will run a generic schedule for satisfiability detection.
% 0.91/0.46  % (2138985)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=367878119:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.91/0.46  % (2138984)% WARNING: option uhcvi not known.
% 0.91/0.46  % (2138983)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3800132387_2999 on theBenchmark for (2999ds/0Mi)
% 0.91/0.46  % (2138984)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=911776313:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.91/0.46  % (2138986)dis+10_1_sil=32000:sp=arity:random_seed=2289010614:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.91/0.46  % (2138988)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1007546441:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.91/0.46  % (2138987)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4070324489:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.91/0.46  % (2138989)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4213116938:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.91/0.46  % (2138984)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.46  % (2138987)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.46  % (2138986)Instruction limit reached! 
% 0.91/0.46  % (2138986)------------------------------
% 0.91/0.46  % (2138986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2138986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2138986)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2138986)Termination reason: Instruction limit
% 0.91/0.46  % (2138986)Termination phase: Function definition elimination
% 0.91/0.46  % (2138986)Time elapsed: 0.043 s
% 0.91/0.46  % (2138986)Peak memory usage: 12 MB
% 0.91/0.46  % (2138986)Instructions burned: 104 (million)
% 0.91/0.46  % (2138987)Instruction limit reached! 
% 0.91/0.46  % (2138987)------------------------------
% 0.91/0.46  % (2138987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2138987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2138987)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2138987)Termination reason: Instruction limit
% 0.91/0.46  % (2138987)Termination phase: Function definition elimination
% 0.91/0.46  % (2138987)Time elapsed: 0.048 s
% 0.91/0.46  % (2138987)Peak memory usage: 12 MB
% 0.91/0.46  % (2138987)Instructions burned: 118 (million)
% 0.91/0.46  % (2138988)Instruction limit reached! 
% 0.91/0.46  % (2138988)------------------------------
% 0.91/0.46  % (2138988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2138988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2138988)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2138988)Termination reason: Instruction limit
% 0.91/0.46  % (2138988)Termination phase: Property scanning
% 0.91/0.46  % (2138988)Time elapsed: 0.054 s
% 0.91/0.46  % (2138988)Peak memory usage: 12 MB
% 0.91/0.46  % (2138988)Instructions burned: 133 (million)
% 0.91/0.46  % (2138997)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=838997137:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.91/0.46  % (2138989)Instruction limit reached! 
% 0.91/0.46  % (2138989)------------------------------
% 0.91/0.46  % (2138989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2138989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2138989)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2138989)Termination reason: Instruction limit
% 0.91/0.46  % (2138989)Termination phase: Property scanning
% 0.91/0.46  % (2138989)Time elapsed: 0.066 s
% 0.91/0.46  % (2138989)Peak memory usage: 12 MB
% 0.91/0.46  % (2138989)Instructions burned: 160 (million)
% 0.91/0.46  % (2138998)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3654972472:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.91/0.46  % (2138999)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=2251356872:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.91/0.46  % Exception at run slice level
% 0.91/0.46  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.91/0.46  % (2138984)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.91/0.46  % (2139001)ott-21_1_sil=16000:fs=off:random_seed=2442634471:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.91/0.46  % (2139004)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3900567512:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.91/0.46  % (2138999)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.91/0.46  % (2138998)Instruction limit reached! 
% 0.91/0.46  % (2138998)------------------------------
% 0.91/0.46  % (2138998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2138998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2138998)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2138998)Termination reason: Instruction limit
% 0.91/0.46  % (2138998)Termination phase: Property scanning
% 0.91/0.46  % (2138998)Time elapsed: 0.055 s
% 0.91/0.46  % (2138998)Peak memory usage: 12 MB
% 0.91/0.46  % (2138998)Instructions burned: 133 (million)
% 0.91/0.46  % Exception at run slice level
% 0.91/0.46  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.91/0.46  % (2139007)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4038813763:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.91/0.46  % (2139009)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=482744835:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.91/0.46  % (2139001)Instruction limit reached! 
% 0.91/0.46  % (2139001)------------------------------
% 0.91/0.46  % (2139001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46  % (2139001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46  % (2139001)CaDiCaL version: 2.1.3
% 0.91/0.46  % (2139001)Termination reason: Instruction limit
% 0.91/0.46  % (2139001)Termination phase: Property scanning
% 0.91/0.46  % (2139001)Time elapsed: 0.076 s
% 0.91/0.46  % (2139001)Peak memory usage: 12 MB
% 0.91/0.46  % (2139001)Instructions burned: 191 (million)
% 0.91/0.46  % (2138999)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.91/0.46  % (2139011)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=132626126:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 0.91/0.46  % (2138985) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2138978-2138985"...
% 0.91/0.46  % (2138985)...printing done.
% 0.91/0.46  % (2138985)Refutation found. Thanks to Tanya!
% 0.91/0.46  % SZS status Theorem for theBenchmark
% 0.91/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (2138985)------------------------------
% 0.20/0.47  % (2138985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.47  % (2138985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.47  % (2138985)CaDiCaL version: 2.1.3
% 0.20/0.47  % (2138985)Termination reason: Refutation
% 0.20/0.47  % (2138985)Time elapsed: 0.196 s
% 0.20/0.47  % (2138985)Peak memory usage: 20 MB
% 0.20/0.47  % (2138985)Instructions burned: 844 (million)
% 0.20/0.47  % (2138978)Success in time 0.247 s
% 0.20/0.47  % Vampire exiting
%------------------------------------------------------------------------------