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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP182^1 : 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 : n003.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 08:11:01 AM UTC 2026

% Result   : Theorem 2.81s 0.66s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  32 unt;   0 typ;   5 def)
%            Number of atoms       :  140 (  78 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  280 (  26   ~;  22   |;   0   &; 229   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :   47 (  46 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  469 ( 466 usr;  20 con; 0-7 aty)
%            Number of variables   :   61 (   0   ^;  61   !;   0   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc1872410278e_name: $tType ).

thf(type_def_6,type,
    produc890461031e_name: $tType ).

thf(type_def_7,type,
    list_P431515740_pi_pi: $tType ).

thf(type_def_8,type,
    set_Pr1654044726_pi_pi: $tType ).

thf(type_def_9,type,
    set_Pr806375235ubject: $tType ).

thf(type_def_10,type,
    set_Pr1780909331reeRes: $tType ).

thf(type_def_11,type,
    produc1141751126_pi_pi: $tType ).

thf(type_def_12,type,
    list_l1406151091e_name: $tType ).

thf(type_def_13,type,
    produc1359399907ubject: $tType ).

thf(type_def_14,type,
    produc355105483reeRes: $tType ).

thf(type_def_15,type,
    produc214645451ubject: $tType ).

thf(type_def_16,type,
    produc1357834675reeRes: $tType ).

thf(type_def_17,type,
    set_Pr1131282415pi_Rep: $tType ).

thf(type_def_18,type,
    produc257012921pi_Rep: $tType ).

thf(type_def_19,type,
    produc1777919905pi_Rep: $tType ).

thf(type_def_20,type,
    list_P227219501e_name: $tType ).

thf(type_def_21,type,
    set_Pr443758855e_name: $tType ).

thf(type_def_22,type,
    produc1998742700t_name: $tType ).

thf(type_def_23,type,
    produc2052722628s_name: $tType ).

thf(type_def_24,type,
    produc865358760ubject: $tType ).

thf(type_def_25,type,
    produc2008547984reeRes: $tType ).

thf(type_def_26,type,
    produc140253050ect_pi: $tType ).

thf(type_def_27,type,
    produc992857746Res_pi: $tType ).

thf(type_def_28,type,
    set_Pr1834926343_pi_pi: $tType ).

thf(type_def_29,type,
    produc1212344719pi_Rep: $tType ).

thf(type_def_30,type,
    produc367475239e_name: $tType ).

thf(type_def_31,type,
    product_prod_pi_pi: $tType ).

thf(type_def_32,type,
    list_Late_subject: $tType ).

thf(type_def_33,type,
    list_Late_freeRes: $tType ).

thf(type_def_34,type,
    set_Late_subject: $tType ).

thf(type_def_35,type,
    set_Late_freeRes: $tType ).

thf(type_def_36,type,
    list_pi_Rep: $tType ).

thf(type_def_37,type,
    late_residual_Rep: $tType ).

thf(type_def_38,type,
    late_subject_Rep: $tType ).

thf(type_def_39,type,
    late_freeRes_Rep: $tType ).

thf(type_def_40,type,
    set_pi_Rep: $tType ).

thf(type_def_41,type,
    list_name: $tType ).

thf(type_def_42,type,
    set_name: $tType ).

thf(type_def_43,type,
    list_pi: $tType ).

thf(type_def_44,type,
    late_residual: $tType ).

thf(type_def_45,type,
    late_subject: $tType ).

thf(type_def_46,type,
    late_freeRes: $tType ).

thf(type_def_47,type,
    set_pi: $tType ).

thf(type_def_48,type,
    pi_Rep: $tType ).

thf(type_def_49,type,
    name: $tType ).

thf(type_def_50,type,
    pi: $tType ).

thf(type_def_51,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    input: name > name > pi > pi ).

thf(func_def_1,type,
    res: name > pi > pi ).

thf(func_def_2,type,
    sum: pi > pi > pi ).

thf(func_def_3,type,
    if_name: $o > name > name > name ).

thf(func_def_4,type,
    if_pi: $o > pi > pi > pi ).

thf(func_def_5,type,
    if_pi_Rep: $o > pi_Rep > pi_Rep > pi_Rep ).

thf(func_def_6,type,
    if_Late_freeRes: $o > late_freeRes > late_freeRes > late_freeRes ).

thf(func_def_7,type,
    if_Late_subject: $o > late_subject > late_subject > late_subject ).

thf(func_def_8,type,
    late_OutputR: name > name > late_freeRes ).

thf(func_def_9,type,
    late_BoundR: late_subject > name > pi > late_residual ).

thf(func_def_10,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(func_def_11,type,
    late_r347633188eR_Rep: late_freeRes > pi > late_residual_Rep ).

thf(func_def_12,type,
    late_BoundOutputS: name > late_subject ).

thf(func_def_13,type,
    late_InputS: name > late_subject ).

thf(func_def_14,type,
    late_transitions: pi > late_residual > $o ).

thf(func_def_15,type,
    cons_name: name > list_name > list_name ).

thf(func_def_16,type,
    cons_pi: pi > list_pi > list_pi ).

thf(func_def_17,type,
    cons_pi_Rep: pi_Rep > list_pi_Rep > list_pi_Rep ).

thf(func_def_18,type,
    cons_Late_freeRes: late_freeRes > list_Late_freeRes > list_Late_freeRes ).

thf(func_def_19,type,
    cons_Late_subject: late_subject > list_Late_subject > list_Late_subject ).

thf(func_def_20,type,
    cons_l798145763e_name: list_P227219501e_name > list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_21,type,
    cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).

thf(func_def_22,type,
    cons_P749510156_pi_pi: produc1141751126_pi_pi > list_P431515740_pi_pi > list_P431515740_pi_pi ).

thf(func_def_23,type,
    nil_li29751603e_name: list_l1406151091e_name ).

thf(func_def_24,type,
    nil_Pr743626285e_name: list_P227219501e_name ).

thf(func_def_25,type,
    fresh_name_name: name > name > $o ).

thf(func_def_26,type,
    fresh_name_pi: name > pi > $o ).

thf(func_def_27,type,
    fresh_name_pi_Rep: name > pi_Rep > $o ).

thf(func_def_28,type,
    fresh_1641682979reeRes: name > late_freeRes > $o ).

thf(func_def_29,type,
    fresh_81631222sidual: name > late_residual > $o ).

thf(func_def_30,type,
    fresh_717452603ubject: name > late_subject > $o ).

thf(func_def_31,type,
    fresh_name_list_name: name > list_name > $o ).

thf(func_def_32,type,
    fresh_name_list_pi: name > list_pi > $o ).

thf(func_def_33,type,
    fresh_1981651763reeRes: name > list_Late_freeRes > $o ).

thf(func_def_34,type,
    fresh_838462539ubject: name > list_Late_subject > $o ).

thf(func_def_35,type,
    fresh_922791155e_name: name > list_P227219501e_name > $o ).

thf(func_def_36,type,
    fresh_1958133282_pi_pi: name > list_P431515740_pi_pi > $o ).

thf(func_def_37,type,
    fresh_441084397e_name: name > produc367475239e_name > $o ).

thf(func_def_38,type,
    fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).

thf(func_def_39,type,
    fresh_820177506ubject: name > produc865358760ubject > $o ).

thf(func_def_40,type,
    fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).

thf(func_def_41,type,
    fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).

thf(func_def_42,type,
    fresh_2007541374s_name: name > produc2052722628s_name > $o ).

thf(func_def_43,type,
    fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).

thf(func_def_44,type,
    fresh_493808761reeRes: name > produc1357834675reeRes > $o ).

thf(func_def_45,type,
    fresh_1498103185ubject: name > produc214645451ubject > $o ).

thf(func_def_46,type,
    fresh_1953561446t_name: name > produc1998742700t_name > $o ).

thf(func_def_47,type,
    fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).

thf(func_def_48,type,
    fresh_1638563217reeRes: name > produc355105483reeRes > $o ).

thf(func_def_49,type,
    fresh_495373993ubject: name > produc1359399907ubject > $o ).

thf(func_def_50,type,
    perm_n382765978reeRes: list_P227219501e_name > ( name > late_freeRes ) > name > late_freeRes ).

thf(func_def_51,type,
    perm_n1387060402ubject: list_P227219501e_name > ( name > late_subject ) > name > late_subject ).

thf(func_def_52,type,
    perm_n1333244520reeRes: list_P227219501e_name > ( pi > late_freeRes ) > pi > late_freeRes ).

thf(func_def_53,type,
    perm_n190055296ubject: list_P227219501e_name > ( pi > late_subject ) > pi > late_subject ).

thf(func_def_54,type,
    perm_n1841560599reeRes: list_P227219501e_name > ( pi_Rep > late_freeRes ) > pi_Rep > late_freeRes ).

thf(func_def_55,type,
    perm_n698371375ubject: list_P227219501e_name > ( pi_Rep > late_subject ) > pi_Rep > late_subject ).

thf(func_def_56,type,
    perm_n1446290985reeRes: list_P227219501e_name > ( late_freeRes > late_freeRes ) > late_freeRes > late_freeRes ).

thf(func_def_57,type,
    perm_n303101761ubject: list_P227219501e_name > ( late_freeRes > late_subject ) > late_freeRes > late_subject ).

thf(func_def_58,type,
    perm_n443561793reeRes: list_P227219501e_name > ( late_subject > late_freeRes ) > late_subject > late_freeRes ).

thf(func_def_59,type,
    perm_n1447856217ubject: list_P227219501e_name > ( late_subject > late_subject ) > late_subject > late_subject ).

thf(func_def_60,type,
    perm_name_o: list_P227219501e_name > $o > $o ).

thf(func_def_61,type,
    perm_name_name: list_P227219501e_name > name > name ).

thf(func_def_62,type,
    perm_name_pi: list_P227219501e_name > pi > pi ).

thf(func_def_63,type,
    perm_name_pi_Rep: list_P227219501e_name > pi_Rep > pi_Rep ).

thf(func_def_64,type,
    perm_n336613537reeRes: list_P227219501e_name > late_freeRes > late_freeRes ).

thf(func_def_65,type,
    perm_n1938283068es_Rep: list_P227219501e_name > late_freeRes_Rep > late_freeRes_Rep ).

thf(func_def_66,type,
    perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).

thf(func_def_67,type,
    perm_n890803237al_Rep: list_P227219501e_name > late_residual_Rep > late_residual_Rep ).

thf(func_def_68,type,
    perm_n1559866809ubject: list_P227219501e_name > late_subject > late_subject ).

thf(func_def_69,type,
    perm_n697952036ct_Rep: list_P227219501e_name > late_subject_Rep > late_subject_Rep ).

thf(func_def_70,type,
    perm_name_list_name: list_P227219501e_name > list_name > list_name ).

thf(func_def_71,type,
    perm_name_list_pi: list_P227219501e_name > list_pi > list_pi ).

thf(func_def_72,type,
    perm_n729617823pi_Rep: list_P227219501e_name > list_pi_Rep > list_pi_Rep ).

thf(func_def_73,type,
    perm_n808352945reeRes: list_P227219501e_name > list_Late_freeRes > list_Late_freeRes ).

thf(func_def_74,type,
    perm_n1812647369ubject: list_P227219501e_name > list_Late_subject > list_Late_subject ).

thf(func_def_75,type,
    perm_n1160739829e_name: list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).

thf(func_def_76,type,
    perm_n1255502110_pi_pi: list_P227219501e_name > produc1141751126_pi_pi > produc1141751126_pi_pi ).

thf(func_def_77,type,
    perm_n1415585007_pi_pi: list_P227219501e_name > product_prod_pi_pi > product_prod_pi_pi ).

thf(func_def_78,type,
    perm_n258463228s_name: list_P227219501e_name > produc2052722628s_name > produc2052722628s_name ).

thf(func_def_79,type,
    perm_n1211707594Res_pi: list_P227219501e_name > produc992857746Res_pi > produc992857746Res_pi ).

thf(func_def_80,type,
    perm_n840427369pi_Rep: list_P227219501e_name > produc1777919905pi_Rep > produc1777919905pi_Rep ).

thf(func_def_81,type,
    perm_n169932155reeRes: list_P227219501e_name > produc1357834675reeRes > produc1357834675reeRes ).

thf(func_def_82,type,
    perm_n1174226579ubject: list_P227219501e_name > produc214645451ubject > produc214645451ubject ).

thf(func_def_83,type,
    perm_n204483300t_name: list_P227219501e_name > produc1998742700t_name > produc1998742700t_name ).

thf(func_def_84,type,
    perm_n359102898ect_pi: list_P227219501e_name > produc140253050ect_pi > produc140253050ect_pi ).

thf(func_def_85,type,
    perm_n1467004033pi_Rep: list_P227219501e_name > produc257012921pi_Rep > produc257012921pi_Rep ).

thf(func_def_86,type,
    perm_n1314686611reeRes: list_P227219501e_name > produc355105483reeRes > produc355105483reeRes ).

thf(func_def_87,type,
    perm_n171497387ubject: list_P227219501e_name > produc1359399907ubject > produc1359399907ubject ).

thf(func_def_88,type,
    perm_name_set_name: list_P227219501e_name > set_name > set_name ).

thf(func_def_89,type,
    perm_name_set_pi: list_P227219501e_name > set_pi > set_pi ).

thf(func_def_90,type,
    perm_name_set_pi_Rep: list_P227219501e_name > set_pi_Rep > set_pi_Rep ).

thf(func_def_91,type,
    perm_n1555914327reeRes: list_P227219501e_name > set_Late_freeRes > set_Late_freeRes ).

thf(func_def_92,type,
    perm_n412725103ubject: list_P227219501e_name > set_Late_subject > set_Late_subject ).

thf(func_def_93,type,
    perm_n675238095_pi_pi: list_P227219501e_name > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ).

thf(func_def_94,type,
    swap_name: produc367475239e_name > name > name ).

thf(func_def_95,type,
    ord_le793202855e_name: set_Pr443758855e_name > set_Pr443758855e_name > $o ).

thf(func_def_96,type,
    ord_le797229014_pi_pi: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > $o ).

thf(func_def_97,type,
    ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).

thf(func_def_98,type,
    produc1069608854e_name: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > produc1872410278e_name ).

thf(func_def_99,type,
    produc1570949143e_name: name > name > produc367475239e_name ).

thf(func_def_100,type,
    produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).

thf(func_def_101,type,
    produc607574050ubject: name > late_subject > produc865358760ubject ).

thf(func_def_102,type,
    produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).

thf(func_def_103,type,
    product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).

thf(func_def_104,type,
    produc784048711pi_Rep: pi_Rep > pi_Rep > produc1212344719pi_Rep ).

thf(func_def_105,type,
    produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).

thf(func_def_106,type,
    produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).

thf(func_def_107,type,
    produc216486617pi_Rep: late_freeRes > pi_Rep > produc1777919905pi_Rep ).

thf(func_def_108,type,
    produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).

thf(func_def_109,type,
    produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).

thf(func_def_110,type,
    produc1647375838t_name: late_subject > name > produc1998742700t_name ).

thf(func_def_111,type,
    produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).

thf(func_def_112,type,
    produc843063281pi_Rep: late_subject > pi_Rep > produc257012921pi_Rep ).

thf(func_def_113,type,
    produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).

thf(func_def_114,type,
    produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).

thf(func_def_115,type,
    produc208131031e_name: list_P227219501e_name > list_P227219501e_name > produc890461031e_name ).

thf(func_def_116,type,
    eqvt_name: set_Pr443758855e_name > $o ).

thf(func_def_117,type,
    eqvt_pi: set_Pr1834926343_pi_pi > $o ).

thf(func_def_118,type,
    eqvt_pi_Rep: set_Pr1131282415pi_Rep > $o ).

thf(func_def_119,type,
    eqvt_Late_freeRes: set_Pr1780909331reeRes > $o ).

thf(func_def_120,type,
    eqvt_Late_subject: set_Pr806375235ubject > $o ).

thf(func_def_121,type,
    id_name: set_Pr443758855e_name ).

thf(func_def_122,type,
    id_pi: set_Pr1834926343_pi_pi ).

thf(func_def_123,type,
    collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).

thf(func_def_124,type,
    strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).

thf(func_def_125,type,
    strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).

thf(func_def_126,type,
    member_name: name > set_name > $o ).

thf(func_def_127,type,
    member_pi: pi > set_pi > $o ).

thf(func_def_128,type,
    member_pi_Rep: pi_Rep > set_pi_Rep > $o ).

thf(func_def_129,type,
    member_Late_freeRes: late_freeRes > set_Late_freeRes > $o ).

thf(func_def_130,type,
    member_Late_subject: late_subject > set_Late_subject > $o ).

thf(func_def_131,type,
    member695284560e_name: produc367475239e_name > set_Pr443758855e_name > $o ).

thf(func_def_132,type,
    member540268543_pi_pi: produc1141751126_pi_pi > set_Pr1654044726_pi_pi > $o ).

thf(func_def_133,type,
    member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).

thf(func_def_134,type,
    member1671908408pi_Rep: produc1212344719pi_Rep > set_Pr1131282415pi_Rep > $o ).

thf(func_def_135,type,
    member1584979804reeRes: produc1357834675reeRes > set_Pr1780909331reeRes > $o ).

thf(func_def_136,type,
    member1586545036ubject: produc1359399907ubject > set_Pr806375235ubject > $o ).

thf(func_def_137,type,
    p: pi ).

thf(func_def_138,type,
    pq: pi ).

thf(func_def_139,type,
    p2: pi ).

thf(func_def_140,type,
    q: pi ).

thf(func_def_141,type,
    rel: set_Pr1834926343_pi_pi ).

thf(func_def_142,type,
    a: late_subject ).

thf(func_def_143,type,
    aa: name ).

thf(func_def_144,type,
    x: name ).

thf(func_def_145,type,
    y: name ).

thf(func_def_149,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_150,type,
    vAND: $o > $o > $o ).

thf(func_def_151,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_152,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_153,type,
    vNOT: $o > $o ).

thf(func_def_154,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_155,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_156,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_157,type,
    vIMP: $o > $o > $o ).

thf(func_def_158,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_159,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_160,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_161,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_162,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_163,type,
    sP0: name > pi > late_subject > name > pi > $o ).

thf(func_def_164,type,
    sP1: name > pi > late_residual > $o ).

thf(func_def_165,type,
    sP2: name > pi > late_residual > $o ).

thf(func_def_166,type,
    sP3: pi > late_subject > ( late_subject > pi > $o ) > name > name > $o ).

thf(func_def_167,type,
    sK4: late_subject > name ).

thf(func_def_168,type,
    sK5: late_freeRes > name ).

thf(func_def_169,type,
    sK6: produc1141751126_pi_pi > name ).

thf(func_def_170,type,
    sK7: name > name ).

thf(func_def_171,type,
    sK8: pi > name ).

thf(func_def_172,type,
    sK9: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_173,type,
    sK10: produc1872410278e_name > produc367475239e_name ).

thf(func_def_174,type,
    sK11: produc1872410278e_name > produc367475239e_name ).

thf(func_def_175,type,
    sK12: produc1872410278e_name > list_P227219501e_name ).

thf(func_def_176,type,
    sK13: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_177,type,
    sK14: produc1872410278e_name > produc367475239e_name ).

thf(func_def_178,type,
    sK15: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_179,type,
    sK16: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_180,type,
    sK17: produc1872410278e_name > produc367475239e_name ).

thf(func_def_181,type,
    sK18: produc1872410278e_name > list_P227219501e_name ).

thf(func_def_182,type,
    sK19: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_183,type,
    sK20: produc890461031e_name > produc367475239e_name ).

thf(func_def_184,type,
    sK21: produc890461031e_name > list_P227219501e_name ).

thf(func_def_185,type,
    sK22: produc890461031e_name > produc367475239e_name ).

thf(func_def_186,type,
    sK23: produc890461031e_name > list_P227219501e_name ).

thf(func_def_187,type,
    sK24: produc890461031e_name > list_P227219501e_name ).

thf(func_def_188,type,
    sK25: produc890461031e_name > list_P227219501e_name ).

thf(func_def_189,type,
    sK26: produc890461031e_name > produc367475239e_name ).

thf(func_def_190,type,
    sK27: produc890461031e_name > list_P227219501e_name ).

thf(func_def_191,type,
    sK28: produc890461031e_name > list_P227219501e_name ).

thf(func_def_192,type,
    sK29: produc890461031e_name > list_P227219501e_name ).

thf(func_def_193,type,
    sK30: ( produc367475239e_name > $o ) > name ).

thf(func_def_194,type,
    sK31: ( produc367475239e_name > $o ) > name ).

thf(func_def_195,type,
    sK32: ( produc1141751126_pi_pi > $o ) > name ).

thf(func_def_196,type,
    sK33: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).

thf(func_def_197,type,
    sK34: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_198,type,
    sK35: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_199,type,
    sK36: produc367475239e_name > name ).

thf(func_def_200,type,
    sK37: produc367475239e_name > name ).

thf(func_def_201,type,
    sK38: produc1141751126_pi_pi > name ).

thf(func_def_202,type,
    sK39: produc1141751126_pi_pi > product_prod_pi_pi ).

thf(func_def_203,type,
    sK40: product_prod_pi_pi > pi ).

thf(func_def_204,type,
    sK41: product_prod_pi_pi > pi ).

thf(func_def_205,type,
    sK42: ( produc1141751126_pi_pi > $o ) > name ).

thf(func_def_206,type,
    sK43: ( produc1141751126_pi_pi > $o ) > pi ).

thf(func_def_207,type,
    sK44: ( produc1141751126_pi_pi > $o ) > pi ).

thf(func_def_208,type,
    sK45: produc1141751126_pi_pi > name ).

thf(func_def_209,type,
    sK46: produc1141751126_pi_pi > pi ).

thf(func_def_210,type,
    sK47: produc1141751126_pi_pi > pi ).

thf(func_def_211,type,
    sK48: ( produc367475239e_name > $o ) > name ).

thf(func_def_212,type,
    sK49: ( produc367475239e_name > $o ) > name ).

thf(func_def_213,type,
    sK50: ( produc1141751126_pi_pi > $o ) > name ).

thf(func_def_214,type,
    sK51: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).

thf(func_def_215,type,
    sK52: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_216,type,
    sK53: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_217,type,
    sK54: produc367475239e_name > name ).

thf(func_def_218,type,
    sK55: produc367475239e_name > name ).

thf(func_def_219,type,
    sK56: produc1141751126_pi_pi > name ).

thf(func_def_220,type,
    sK57: produc1141751126_pi_pi > product_prod_pi_pi ).

thf(func_def_221,type,
    sK58: product_prod_pi_pi > pi ).

thf(func_def_222,type,
    sK59: product_prod_pi_pi > pi ).

thf(func_def_223,type,
    sK60: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name ).

thf(func_def_224,type,
    sK61: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_225,type,
    sK62: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_226,type,
    sK63: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_227,type,
    sK64: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name ).

thf(func_def_228,type,
    sK65: ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_229,type,
    sK66: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_230,type,
    sK67: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_231,type,
    sK68: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_232,type,
    sK69: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_233,type,
    sK70: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_234,type,
    sK71: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_235,type,
    sK72: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_236,type,
    sK73: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_237,type,
    sK74: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_238,type,
    sK75: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_239,type,
    sK76: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_240,type,
    sK77: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_241,type,
    sK78: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_242,type,
    sK79: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_243,type,
    sK80: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_244,type,
    sK81: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_245,type,
    sK82: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_246,type,
    sK83: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_247,type,
    sK84: list_P227219501e_name > produc367475239e_name ).

thf(func_def_248,type,
    sK85: list_P227219501e_name > produc367475239e_name ).

thf(func_def_249,type,
    sK86: list_P227219501e_name > list_P227219501e_name ).

thf(func_def_250,type,
    sK87: list_P227219501e_name > produc367475239e_name ).

thf(func_def_251,type,
    sK88: list_l1406151091e_name > produc367475239e_name ).

thf(func_def_252,type,
    sK89: list_l1406151091e_name > list_P227219501e_name ).

thf(func_def_253,type,
    sK90: list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_254,type,
    sK91: list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_255,type,
    sK92: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_256,type,
    sK93: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_257,type,
    sK94: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_258,type,
    sK95: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_259,type,
    sK96: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_260,type,
    sK97: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_261,type,
    sK98: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_262,type,
    sK99: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_263,type,
    sK100: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_264,type,
    sK101: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_265,type,
    sK102: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_266,type,
    sK103: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_267,type,
    sK104: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_268,type,
    sK105: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_269,type,
    sK106: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_270,type,
    sK107: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_271,type,
    sK108: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_272,type,
    sK109: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_273,type,
    sK110: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_274,type,
    sK111: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_275,type,
    sK112: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_276,type,
    sK113: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_277,type,
    sK114: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_278,type,
    sK115: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_279,type,
    sK116: list_P227219501e_name > produc367475239e_name ).

thf(func_def_280,type,
    sK117: list_P227219501e_name > list_P227219501e_name ).

thf(func_def_281,type,
    sK118: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_282,type,
    sK119: set_Pr443758855e_name > set_Pr443758855e_name > name ).

thf(func_def_283,type,
    sK120: set_Pr443758855e_name > set_Pr443758855e_name > name ).

thf(func_def_284,type,
    sK121: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > name ).

thf(func_def_285,type,
    sK122: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > product_prod_pi_pi ).

thf(func_def_286,type,
    sK123: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_287,type,
    sK124: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_288,type,
    sK125: produc367475239e_name > name ).

thf(func_def_289,type,
    sK126: product_prod_pi_pi > pi ).

thf(func_def_290,type,
    sK127: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_291,type,
    sK128: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_292,type,
    sK129: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_293,type,
    sK130: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_294,type,
    sK131: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_295,type,
    sK132: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_296,type,
    sK133: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_297,type,
    sK134: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_298,type,
    sK135: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).

thf(func_def_299,type,
    sK136: pi > name > late_subject > set_Pr1834926343_pi_pi > pi > pi ).

thf(func_def_300,type,
    sK137: ( late_residual > $o ) > late_freeRes ).

thf(func_def_301,type,
    sK138: ( late_residual > $o ) > pi ).

thf(func_def_302,type,
    sK139: ( late_residual > $o ) > late_subject ).

thf(func_def_303,type,
    sK140: ( late_residual > $o ) > name ).

thf(func_def_304,type,
    sK141: ( late_residual > $o ) > pi ).

thf(func_def_305,type,
    sK142: pi > late_freeRes > pi > name > pi ).

thf(func_def_306,type,
    sK143: pi > late_freeRes > pi > name > late_freeRes ).

thf(func_def_307,type,
    sK144: pi > late_freeRes > pi > name > pi ).

thf(func_def_308,type,
    sK145: pi > late_freeRes > pi > name > name ).

thf(func_def_309,type,
    sK146: ( pi > $o ) > late_freeRes > pi > name > pi ).

thf(func_def_310,type,
    sK147: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).

thf(func_def_311,type,
    sK148: name > pi > late_subject > name > pi > pi ).

thf(func_def_312,type,
    sK149: name > pi > late_subject > name > pi > late_subject ).

thf(func_def_313,type,
    sK150: name > pi > late_subject > name > pi > name ).

thf(func_def_314,type,
    sK151: name > pi > late_subject > name > pi > pi ).

thf(func_def_315,type,
    sK152: name > pi > late_subject > name > pi > name ).

thf(func_def_316,type,
    sK153: pi > name > late_subject > pi > name > pi ).

thf(func_def_317,type,
    sK154: pi > name > late_subject > pi > name > name ).

thf(func_def_318,type,
    sK155: pi > name > late_subject > pi > name > name ).

thf(func_def_319,type,
    sK156: pi > name > late_subject > pi > name > pi ).

thf(func_def_320,type,
    sK157: name > pi > late_residual > pi ).

thf(func_def_321,type,
    sK158: name > pi > late_residual > name ).

thf(func_def_322,type,
    sK159: name > pi > late_residual > name ).

thf(func_def_323,type,
    sK160: name > pi > late_residual > pi ).

thf(func_def_324,type,
    sK161: name > pi > late_residual > pi ).

thf(func_def_325,type,
    sK162: name > pi > late_residual > late_subject ).

thf(func_def_326,type,
    sK163: name > pi > late_residual > name ).

thf(func_def_327,type,
    sK164: name > pi > late_residual > pi ).

thf(func_def_328,type,
    sK165: name > pi > late_residual > name ).

thf(func_def_329,type,
    sK166: late_residual > pi > name > pi ).

thf(func_def_330,type,
    sK167: late_residual > pi > name > late_freeRes ).

thf(func_def_331,type,
    sK168: late_residual > pi > name > pi ).

thf(func_def_332,type,
    sK169: late_residual > pi > name > name ).

thf(func_def_333,type,
    sK170: pi > late_subject > ( late_subject > pi > $o ) > name > name > name ).

thf(func_def_334,type,
    sK171: pi > late_subject > ( late_subject > pi > $o ) > name > name > pi ).

thf(func_def_335,type,
    sK172: ( late_subject > pi > $o ) > name > late_subject > pi > name > pi ).

thf(func_def_336,type,
    sK173: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_337,type,
    sK174: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_338,type,
    sK175: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_339,type,
    sK176: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_340,type,
    sK177: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_341,type,
    sF178: produc367475239e_name ).

thf(func_def_342,type,
    sF179: list_P227219501e_name ).

thf(func_def_343,type,
    sF180: pi ).

thf(func_def_344,type,
    sF181: late_subject ).

thf(func_def_345,type,
    sF182: $o ).

thf(func_def_346,type,
    sK183: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_347,type,
    sK184: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_348,type,
    sK185: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_349,type,
    sK186: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_350,type,
    sK187: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_351,type,
    sK188: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_352,type,
    sK189: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > pi ).

thf(func_def_353,type,
    sK190: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_354,type,
    sK191: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > pi ).

thf(func_def_355,type,
    sK192: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_356,type,
    sK193: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_357,type,
    sK194: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).

thf(func_def_358,type,
    sK195: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_359,type,
    sK196: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_360,type,
    sK197: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_361,type,
    sK198: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_362,type,
    sK199: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_363,type,
    sK200: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_364,type,
    sK201: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_365,type,
    sK202: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_366,type,
    sK203: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_367,type,
    sK204: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_368,type,
    sK205: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_369,type,
    sK206: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_370,type,
    sK207: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_371,type,
    sK208: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_372,type,
    sK209: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_373,type,
    sK210: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_374,type,
    sK211: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_375,type,
    sK212: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_376,type,
    sK213: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_377,type,
    sK214: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_378,type,
    sK215: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_379,type,
    sK216: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_380,type,
    sK217: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_381,type,
    sK218: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_382,type,
    sK219: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_383,type,
    sK220: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_384,type,
    sK221: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_385,type,
    sK222: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_386,type,
    sK223: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_387,type,
    sK224: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_388,type,
    sK225: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_389,type,
    sK226: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_390,type,
    sK227: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_391,type,
    sK228: late_subject > set_Pr1834926343_pi_pi > name > pi > list_P227219501e_name > pi > pi ).

thf(func_def_392,type,
    sK229: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_393,type,
    sK230: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_394,type,
    sK231: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_395,type,
    sK232: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_396,type,
    sK233: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_397,type,
    sK234: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_398,type,
    sK235: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_399,type,
    sK236: set_Pr1834926343_pi_pi > late_freeRes > pi > list_P227219501e_name > pi > pi ).

thf(func_def_400,type,
    sK237: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_401,type,
    sK238: set_Pr1834926343_pi_pi > late_freeRes > pi > list_P227219501e_name > pi > pi ).

thf(func_def_402,type,
    sK239: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_403,type,
    sK240: set_Pr1834926343_pi_pi > late_freeRes > pi > list_P227219501e_name > pi > pi ).

thf(func_def_404,type,
    sK241: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_405,type,
    sK242: set_Pr1834926343_pi_pi > late_freeRes > pi > list_P227219501e_name > pi > pi ).

thf(func_def_406,type,
    sK243: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi > pi ).

thf(func_def_407,type,
    sK244: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).

thf(func_def_408,type,
    sK245: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).

thf(func_def_409,type,
    sK246: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_410,type,
    sK247: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).

thf(func_def_411,type,
    sK248: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).

thf(func_def_412,type,
    sK249: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).

thf(func_def_413,type,
    sK250: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_414,type,
    sK251: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).

thf(func_def_415,type,
    sK252: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).

thf(func_def_416,type,
    sK253: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).

thf(func_def_417,type,
    sK254: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).

thf(func_def_418,type,
    sK255: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_419,type,
    sK256: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_420,type,
    sK257: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_421,type,
    sK258: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_422,type,
    sK259: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_423,type,
    sK260: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_424,type,
    sK261: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_425,type,
    sK262: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_426,type,
    sK263: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_427,type,
    sK264: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_428,type,
    sK265: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_429,type,
    sK266: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).

thf(func_def_430,type,
    sK267: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_431,type,
    sK268: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_432,type,
    sK269: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_433,type,
    sK270: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_434,type,
    sK271: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_435,type,
    sK272: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_436,type,
    sK273: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_437,type,
    sK274: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_438,type,
    sK275: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_439,type,
    sK276: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_440,type,
    sK277: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_441,type,
    sK278: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_442,type,
    sK279: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_443,type,
    sK280: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_444,type,
    sK281: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_445,type,
    sK282: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_446,type,
    sK283: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_447,type,
    sK284: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_448,type,
    sK285: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_449,type,
    sK286: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_450,type,
    sK287: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_451,type,
    sK288: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_452,type,
    sK289: name > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).

thf(func_def_453,type,
    sK290: name > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).

thf(func_def_454,type,
    sK291: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_455,type,
    sK292: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_456,type,
    sK293: name > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_457,type,
    sK294: name > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).

thf(func_def_458,type,
    sK295: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_459,type,
    sK296: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_460,type,
    sK297: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_461,type,
    sK298: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_462,type,
    sK299: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_463,type,
    sK300: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_464,type,
    sK301: set_Pr1834926343_pi_pi > list_P227219501e_name ).

thf(func_def_465,type,
    sK302: set_Pr1834926343_pi_pi > product_prod_pi_pi ).

thf(func_def_466,type,
    sK303: list_P227219501e_name > list_P227219501e_name ).

thf(func_def_467,type,
    sK304: list_P227219501e_name > produc367475239e_name ).

thf(f1,axiom,
    ord_le630093991_pi_pi @ id_pi @ rel,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Id) ).

thf(f3,axiom,
    ( a
    = ( late_BoundOutputS @ aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_cOpen_Ohyps_I3_J) ).

thf(f195,axiom,
    ! [X0: set_Pr1834926343_pi_pi,X1: pi,X2: late_subject,X3: name] :
      ( ( ord_le630093991_pi_pi @ id_pi @ X0 )
     => ( strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_derivativeReflexive) ).

thf(f350,axiom,
    ! [X0: name,X1: name] :
      ( ( ( late_InputS @ X0 )
        = ( late_InputS @ X1 ) )
      = ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_Late__Semantics1_Osubject_Oinject_I1_J) ).

thf(f365,conjecture,
    strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f366,negated_conjecture,
    ~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
    inference(negated_conjecture,[status(cth)],[f365]) ).

thf(f367,plain,
    ord_le630093991_pi_pi @ id_pi @ rel,
    inference(rectify,[],[f1]) ).

thf(f368,plain,
    ( ( ord_le630093991_pi_pi @ id_pi @ rel )
    = $true ),
    inference(fool_elimination,[],[f367]) ).

thf(f524,plain,
    ! [X0: set_Pr1834926343_pi_pi,X1: pi,X2: late_subject,X3: name] :
      ( ( ord_le630093991_pi_pi @ id_pi @ X0 )
     => ( strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0 ) ),
    inference(rectify,[],[f195]) ).

thf(f525,plain,
    ! [X0: set_Pr1834926343_pi_pi,X1: pi,X2: late_subject,X3: name] :
      ( ( ( ord_le630093991_pi_pi @ id_pi @ X0 )
        = $true )
     => ( ( strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f524]) ).

thf(f763,plain,
    ! [X0: name,X1: name] :
      ( ( X0 = X1 )
      = ( ( late_InputS @ X0 )
        = ( late_InputS @ X1 ) ) ),
    inference(fool_elimination,[],[f350]) ).

thf(f785,plain,
    ~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
    inference(rectify,[],[f366]) ).

thf(f786,plain,
    ( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
   != $true ),
    inference(fool_elimination,[],[f785]) ).

thf(f819,plain,
    ( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
   != $true ),
    inference(flattening,[],[f786]) ).

thf(f921,plain,
    ! [X0: set_Pr1834926343_pi_pi,X1: pi,X2: late_subject,X3: name] :
      ( ( ( strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0 )
        = $true )
      | ( ( ord_le630093991_pi_pi @ id_pi @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f525]) ).

thf(f1155,plain,
    ( ( ord_le630093991_pi_pi @ id_pi @ rel )
    = $true ),
    inference(cnf_transformation,[],[f368]) ).

thf(f1157,plain,
    ( a
    = ( late_BoundOutputS @ aa ) ),
    inference(cnf_transformation,[],[f3]) ).

thf(f1366,plain,
    ! [X2: late_subject,X3: name,X0: set_Pr1834926343_pi_pi,X1: pi] :
      ( ( ( ord_le630093991_pi_pi @ id_pi @ X0 )
       != $true )
      | ( ( strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0 )
        = $true ) ),
    inference(cnf_transformation,[],[f921]) ).

thf(f1583,plain,
    ! [X0: name,X1: name] :
      ( ( X0 = X1 )
      = ( ( late_InputS @ X0 )
        = ( late_InputS @ X1 ) ) ),
    inference(cnf_transformation,[],[f763]) ).

thf(f1598,plain,
    ( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
   != $true ),
    inference(cnf_transformation,[],[f819]) ).

thf(f1661,definition,
    ( sF178
    = ( produc1570949143e_name @ y @ x ) ),
    introduced(definition,[new_symbols(definition,[sF178])],[function_definition]) ).

thf(f1662,plain,
    ( ( produc1570949143e_name @ y @ x )
    = sF178 ),
    inference(reorient_equations,[],[f1661]) ).

thf(f1663,definition,
    ( sF179
    = ( cons_P1213805021e_name @ sF178 @ nil_Pr743626285e_name ) ),
    introduced(definition,[new_symbols(definition,[sF179])],[function_definition]) ).

thf(f1664,plain,
    ( ( cons_P1213805021e_name @ sF178 @ nil_Pr743626285e_name )
    = sF179 ),
    inference(reorient_equations,[],[f1663]) ).

thf(f1665,definition,
    ( sF180
    = ( perm_name_pi @ sF179 @ p2 ) ),
    introduced(definition,[new_symbols(definition,[sF180])],[function_definition]) ).

thf(f1666,plain,
    ( ( perm_name_pi @ sF179 @ p2 )
    = sF180 ),
    inference(reorient_equations,[],[f1665]) ).

thf(f1667,definition,
    ( sF181
    = ( late_BoundOutputS @ aa ) ),
    introduced(definition,[new_symbols(definition,[sF181])],[function_definition]) ).

thf(f1668,plain,
    ( ( late_BoundOutputS @ aa )
    = sF181 ),
    inference(reorient_equations,[],[f1667]) ).

thf(f1669,definition,
    ( sF182
    = ( strong2129052853vative @ sF180 @ sF180 @ sF181 @ y @ rel ) ),
    introduced(definition,[new_symbols(definition,[sF182])],[function_definition]) ).

thf(f1670,plain,
    ( ( strong2129052853vative @ sF180 @ sF180 @ sF181 @ y @ rel )
    = sF182 ),
    inference(reorient_equations,[],[f1669]) ).

thf(f1671,plain,
    $true != sF182,
    inference(definition_folding,[],[f1598,f1670,f1668,f1666,f1664,f1662,f1666,f1664,f1662]) ).

thf(f1680,plain,
    ! [X0: name,X1: name] :
      ( ( $true
        = ( X0 = X1 ) )
      | ( ( ( late_InputS @ X0 )
          = ( late_InputS @ X1 ) )
        = $false ) ),
    inference(iff_proxy_clausification,[],[f1583]) ).

thf(f1681,plain,
    ! [X0: name,X1: name] :
      ( ( ( X0 = X1 )
        = $false )
      | ( $true
        = ( ( late_InputS @ X0 )
          = ( late_InputS @ X1 ) ) ) ),
    inference(iff_proxy_clausification,[],[f1583]) ).

thf(f1682,plain,
    ! [X0: name,X1: name] :
      ( ( X0 != X1 )
      | ( $true
        = ( ( late_InputS @ X0 )
          = ( late_InputS @ X1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f1681]) ).

thf(f1683,plain,
    ! [X0: name,X1: name] :
      ( ( ( late_InputS @ X0 )
        = ( late_InputS @ X1 ) )
      | ( X0 != X1 ) ),
    inference(equality_proxy_clausification,[],[f1682]) ).

thf(f1684,plain,
    ! [X0: name,X1: name] :
      ( ( X0 = X1 )
      | ( ( ( late_InputS @ X0 )
          = ( late_InputS @ X1 ) )
        = $false ) ),
    inference(equality_proxy_clausification,[],[f1680]) ).

thf(f1685,plain,
    ! [X0: name,X1: name] :
      ( ( ( late_InputS @ X0 )
       != ( late_InputS @ X1 ) )
      | ( X0 = X1 ) ),
    inference(equality_proxy_clausification,[],[f1684]) ).

thf(f2953,plain,
    ( ( $false
      = ( strong2129052853vative @ sF180 @ sF180 @ sF181 @ y @ rel ) )
    | ( $true = sF182 ) ),
    inference(iff_proxy_clausification,[],[f1670]) ).

thf(f2956,plain,
    a = sF181,
    inference(forward_demodulation,[],[f1668,f1157]) ).

thf(f2957,plain,
    ( $false
    = ( strong2129052853vative @ sF180 @ sF180 @ sF181 @ y @ rel ) ),
    inference(forward_subsumption_resolution,[],[f2953,f1671]) ).

thf(f2967,plain,
    ( $false
    = ( strong2129052853vative @ sF180 @ sF180 @ a @ y @ rel ) ),
    inference(forward_demodulation,[],[f2957,f2956]) ).

thf(f2994,plain,
    ! [X2: name,X0: name,X1: name] :
      ( ( ( late_InputS @ X0 )
        = ( late_InputS @ X1 ) )
      | ( X1 != X2 )
      | ( X0 != X2 ) ),
    inference(constrained_superposition,[],[f1683,f1683]) ).

thf(f3102,plain,
    ! [X2: name,X3: name,X0: name,X1: name] :
      ( ( ( late_InputS @ X0 )
       != ( late_InputS @ X1 ) )
      | ( X1 = X2 )
      | ( X2 != X3 )
      | ( X0 != X3 ) ),
    inference(constrained_superposition,[],[f1685,f2994]) ).

thf(f7512,plain,
    ! [X2: name,X0: pi,X1: late_subject] :
      ( ( $true != $true )
      | ( $true
        = ( strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ rel ) ) ),
    inference(constrained_superposition,[],[f1366,f1155]) ).

thf(f7515,plain,
    ! [X2: name,X0: pi,X1: late_subject] :
      ( $true
      = ( strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ rel ) ),
    inference(trivial_inequality_removal,[],[f7512]) ).

thf(f8070,plain,
    ! [X2: name,X0: name,X1: name] :
      ( ( X0 = X1 )
      | ( X1 != X2 )
      | ( X0 != X2 ) ),
    inference(equality_resolution,[],[f3102]) ).

thf(f8304,plain,
    ! [X0: name,X1: name] :
      ( ( $false
        = ( strong2129052853vative @ sF180 @ sF180 @ a @ X0 @ rel ) )
      | ( y != X1 )
      | ( X0 != X1 ) ),
    inference(constrained_superposition,[],[f2967,f8070]) ).

thf(f8511,plain,
    ! [X0: name,X1: name] :
      ( ( $true = $false )
      | ( y != X1 )
      | ( X0 != X1 ) ),
    inference(forward_demodulation,[],[f8304,f7515]) ).

thf(f8512,plain,
    ! [X0: name,X1: name] :
      ( ( y != X1 )
      | ( X0 != X1 ) ),
    inference(trivial_inequality_removal,[],[f8511]) ).

thf(f8620,plain,
    ! [X0: name] : ( y != X0 ),
    inference(equality_resolution,[],[f8512]) ).

thf(f8632,plain,
    $false,
    inference(equality_resolution,[],[f8620]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP182^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17  % Computer : n003.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Sep 29 20:09:29 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  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
% 2.81/0.66  % (2991184)Will run a generic schedule for satisfiability detection.
% 2.81/0.66  % (2991189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=661280710_2999 on theBenchmark for (2999ds/0Mi)
% 2.81/0.66  % (2991190)% WARNING: option uhcvi not known.
% 2.81/0.66  % (2991190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=683677466:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.81/0.66  % (2991191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2474576853:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.81/0.66  % (2991192)dis+10_1_sil=32000:sp=arity:random_seed=1283061867:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.81/0.66  % (2991193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1394751247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.81/0.66  % (2991195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=965859066:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.81/0.66  % (2991194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2676691938:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.81/0.66  % Exception at run slice level
% 2.81/0.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.81/0.66  % (2991190)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.81/0.66  % (2991193)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.81/0.66  % (2991203)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3020084834:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.81/0.66  % (2991192)Instruction limit reached! 
% 2.81/0.66  % (2991192)------------------------------
% 2.81/0.66  % (2991192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991192)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991192)Termination reason: Instruction limit
% 2.81/0.66  % (2991192)Termination phase: Property scanning
% 2.81/0.66  % (2991192)Time elapsed: 0.043 s
% 2.81/0.66  % (2991192)Peak memory usage: 11 MB
% 2.81/0.66  % (2991192)Instructions burned: 104 (million)
% 2.81/0.66  % (2991190)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.81/0.66  % (2991193)Instruction limit reached! 
% 2.81/0.66  % (2991193)------------------------------
% 2.81/0.66  % (2991193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991193)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991193)Termination reason: Instruction limit
% 2.81/0.66  % (2991193)Termination phase: Saturation
% 2.81/0.66  % (2991193)Time elapsed: 0.049 s
% 2.81/0.66  % (2991193)Peak memory usage: 12 MB
% 2.81/0.66  % (2991193)Instructions burned: 118 (million)
% 2.81/0.66  % Exception at run slice level
% 2.81/0.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.81/0.66  % (2991205)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4265038200:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.81/0.66  % (2991207)ott-21_1_sil=16000:fs=off:random_seed=2338334449:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.81/0.66  % (2991194)Instruction limit reached! 
% 2.81/0.66  % (2991194)------------------------------
% 2.81/0.66  % (2991194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991194)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991194)Termination reason: Instruction limit
% 2.81/0.66  % (2991194)Termination phase: Saturation
% 2.81/0.66  % (2991194)Time elapsed: 0.059 s
% 2.81/0.66  % (2991194)Peak memory usage: 13 MB
% 2.81/0.66  % (2991194)Instructions burned: 131 (million)
% 2.81/0.66  % (2991206)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=412298689:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.81/0.66  % (2991195)Instruction limit reached! 
% 2.81/0.66  % (2991195)------------------------------
% 2.81/0.66  % (2991195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991195)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991195)Termination reason: Instruction limit
% 2.81/0.66  % (2991195)Termination phase: Saturation
% 2.81/0.66  % (2991195)Time elapsed: 0.068 s
% 2.81/0.66  % (2991195)Peak memory usage: 14 MB
% 2.81/0.66  % (2991195)Instructions burned: 160 (million)
% 2.81/0.66  % (2991210)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3316526940:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.81/0.66  % (2991206)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.81/0.66  % (2991212)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4204102984:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.81/0.66  % (2991207)Instruction limit reached! 
% 2.81/0.66  % (2991207)------------------------------
% 2.81/0.66  % (2991207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991207)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991207)Termination reason: Instruction limit
% 2.81/0.66  % (2991207)Termination phase: Saturation
% 2.81/0.66  % (2991207)Time elapsed: 0.041 s
% 2.81/0.66  % (2991207)Peak memory usage: 13 MB
% 2.81/0.66  % (2991207)Instructions burned: 184 (million)
% 2.81/0.66  % (2991215)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2715593844:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.81/0.66  % (2991205)Instruction limit reached! 
% 2.81/0.66  % (2991205)------------------------------
% 2.81/0.66  % (2991205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991205)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991205)Termination reason: Instruction limit
% 2.81/0.66  % (2991205)Termination phase: Saturation
% 2.81/0.66  % (2991205)Time elapsed: 0.055 s
% 2.81/0.66  % (2991205)Peak memory usage: 13 MB
% 2.81/0.66  % (2991205)Instructions burned: 132 (million)
% 2.81/0.66  % (2991206)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.81/0.66  % (2991217)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1117583634:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.81/0.66  % Exception at run slice level
% 2.81/0.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.81/0.66  % (2991219)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=316973316: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)
% 2.81/0.66  % (2991219)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.81/0.66  % Exception at run slice level
% 2.81/0.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.81/0.66  % (2991221)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2645535813:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.81/0.66  % (2991221)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.81/0.66  % (2991210)Instruction limit reached! 
% 2.81/0.66  % (2991210)------------------------------
% 2.81/0.66  % (2991210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991210)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991210)Termination reason: Instruction limit
% 2.81/0.66  % (2991210)Termination phase: Saturation
% 2.81/0.66  % (2991210)Time elapsed: 0.242 s
% 2.81/0.66  % (2991210)Peak memory usage: 16 MB
% 2.81/0.66  % (2991210)Instructions burned: 478 (million)
% 2.81/0.66  % (2991223)fmb+10_1_sil=64000:random_seed=3465477678:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 2.81/0.66  % (2991206)Instruction limit reached! 
% 2.81/0.66  % (2991206)------------------------------
% 2.81/0.66  % (2991206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.66  % (2991206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.66  % (2991206)CaDiCaL version: 2.1.3
% 2.81/0.66  % (2991206)Termination reason: Instruction limit
% 2.81/0.66  % (2991206)Termination phase: Saturation
% 2.81/0.66  % (2991206)Time elapsed: 0.288 s
% 2.81/0.66  % (2991206)Peak memory usage: 16 MB
% 2.81/0.66  % (2991206)Instructions burned: 684 (million)
% 2.81/0.66  % (2991225)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2669086634:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 2.81/0.66  % (2991215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2991184-2991215"...
% 2.81/0.66  % (2991223)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.81/0.66  % (2991215)...printing done.
% 2.81/0.66  % (2991215)Refutation found. Thanks to Tanya!
% 2.81/0.66  % SZS status Theorem for theBenchmark
% 2.81/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.81/0.67  % (2991215)------------------------------
% 2.81/0.67  % (2991215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.67  % (2991215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.67  % (2991215)CaDiCaL version: 2.1.3
% 2.81/0.67  % (2991215)Termination reason: Refutation
% 2.81/0.67  % (2991215)Time elapsed: 0.270 s
% 2.81/0.67  % (2991215)Peak memory usage: 22 MB
% 2.81/0.67  % (2991215)Instructions burned: 1059 (million)
% 2.81/0.67  % (2991184)Success in time 0.447 s
% 2.81/0.67  % Vampire exiting
%------------------------------------------------------------------------------