TSTP Solution File: ITP190^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP190^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:34:24 EDT 2024

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  448
% Syntax   : Number of formulae    :  466 (  16 unt; 444 typ;   0 def)
%            Number of atoms       :   58 (  18 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  219 (  11   ~;   3   |;   0   &; 202   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :   41 (  40 usr)
%            Number of type conns  :  891 ( 891   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  367 ( 364 usr;  18 con; 0-5 aty)
%            Number of variables   :   18 (   0   ^  15   !;   0   ?;  18   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(type_def_8,type,
    list_P227219501e_name: $tType ).

thf(type_def_9,type,
    produc367475239e_name: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_22,type,
    list_l1406151091e_name: $tType ).

thf(type_def_23,type,
    produc2008547984reeRes: $tType ).

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

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

thf(type_def_26,type,
    produc2052722628s_name: $tType ).

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

thf(type_def_28,type,
    produc1357834675reeRes: $tType ).

thf(type_def_29,type,
    produc214645451ubject: $tType ).

thf(type_def_30,type,
    produc1998742700t_name: $tType ).

thf(type_def_31,type,
    produc140253050ect_pi: $tType ).

thf(type_def_32,type,
    produc355105483reeRes: $tType ).

thf(type_def_33,type,
    produc1359399907ubject: $tType ).

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

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

thf(type_def_36,type,
    produc1777919905pi_Rep: $tType ).

thf(type_def_37,type,
    produc257012921pi_Rep: $tType ).

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

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

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

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

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

thf(type_def_43,type,
    set_Pr1834926343_pi_pi: $tType ).

thf(type_def_44,type,
    produc1872410278e_name: $tType ).

thf(type_def_45,type,
    produc890461031e_name: $tType ).

thf(func_def_0,type,
    produc1872410278e_name: $tType ).

thf(func_def_1,type,
    produc890461031e_name: $tType ).

thf(func_def_2,type,
    list_l1406151091e_name: $tType ).

thf(func_def_3,type,
    produc1359399907ubject: $tType ).

thf(func_def_4,type,
    produc355105483reeRes: $tType ).

thf(func_def_5,type,
    produc214645451ubject: $tType ).

thf(func_def_6,type,
    produc1357834675reeRes: $tType ).

thf(func_def_7,type,
    produc257012921pi_Rep: $tType ).

thf(func_def_8,type,
    produc1777919905pi_Rep: $tType ).

thf(func_def_9,type,
    list_name_noption_pi: $tType ).

thf(func_def_10,type,
    list_P227219501e_name: $tType ).

thf(func_def_11,type,
    produc1998742700t_name: $tType ).

thf(func_def_12,type,
    produc2052722628s_name: $tType ).

thf(func_def_13,type,
    produc865358760ubject: $tType ).

thf(func_def_14,type,
    produc2008547984reeRes: $tType ).

thf(func_def_15,type,
    produc140253050ect_pi: $tType ).

thf(func_def_16,type,
    produc992857746Res_pi: $tType ).

thf(func_def_17,type,
    set_Pr1834926343_pi_pi: $tType ).

thf(func_def_18,type,
    produc367475239e_name: $tType ).

thf(func_def_19,type,
    product_prod_pi_pi: $tType ).

thf(func_def_20,type,
    list_Late_subject: $tType ).

thf(func_def_21,type,
    list_Late_freeRes: $tType ).

thf(func_def_22,type,
    set_Late_subject: $tType ).

thf(func_def_23,type,
    set_Late_freeRes: $tType ).

thf(func_def_24,type,
    list_pi_Rep: $tType ).

thf(func_def_25,type,
    late_residual_Rep: $tType ).

thf(func_def_26,type,
    noption_pi: $tType ).

thf(func_def_27,type,
    late_subject_Rep: $tType ).

thf(func_def_28,type,
    late_freeRes_Rep: $tType ).

thf(func_def_29,type,
    set_pi_Rep: $tType ).

thf(func_def_30,type,
    list_name: $tType ).

thf(func_def_31,type,
    set_name: $tType ).

thf(func_def_32,type,
    list_pi: $tType ).

thf(func_def_33,type,
    late_residual: $tType ).

thf(func_def_34,type,
    late_subject: $tType ).

thf(func_def_35,type,
    late_freeRes: $tType ).

thf(func_def_36,type,
    set_pi: $tType ).

thf(func_def_37,type,
    pi_Rep: $tType ).

thf(func_def_38,type,
    name: $tType ).

thf(func_def_39,type,
    pi: $tType ).

thf(func_def_40,type,
    input: name > name > pi > pi ).

thf(func_def_41,type,
    par: pi > pi > pi ).

thf(func_def_42,type,
    res: name > pi > pi ).

thf(func_def_43,type,
    name_prm_name: list_P227219501e_name > name > name ).

thf(func_def_44,type,
    swap_name: produc367475239e_name > name > name ).

thf(func_def_45,type,
    subs: pi > name > name > pi ).

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

thf(func_def_47,type,
    if_pi: $o > pi > pi > pi ).

thf(func_def_48,type,
    if_pi_Rep: $o > pi_Rep > pi_Rep > pi_Rep ).

thf(func_def_49,type,
    if_Late_freeRes: $o > late_freeRes > late_freeRes > late_freeRes ).

thf(func_def_50,type,
    if_Late_subject: $o > late_subject > late_subject > late_subject ).

thf(func_def_51,type,
    late_OutputR: name > name > late_freeRes ).

thf(func_def_52,type,
    late_TauR: late_freeRes ).

thf(func_def_53,type,
    late_BoundR: late_subject > name > pi > late_residual ).

thf(func_def_54,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(func_def_55,type,
    late_r347633188eR_Rep: late_freeRes > pi > late_residual_Rep ).

thf(func_def_56,type,
    late_BoundOutputS: name > late_subject ).

thf(func_def_57,type,
    late_InputS: name > late_subject ).

thf(func_def_58,type,
    late_transitions: pi > late_residual > $o ).

thf(func_def_59,type,
    cons_name_noption_pi: ( name > noption_pi ) > list_name_noption_pi > list_name_noption_pi ).

thf(func_def_60,type,
    cons_name: name > list_name > list_name ).

thf(func_def_61,type,
    cons_pi: pi > list_pi > list_pi ).

thf(func_def_62,type,
    cons_pi_Rep: pi_Rep > list_pi_Rep > list_pi_Rep ).

thf(func_def_63,type,
    cons_Late_freeRes: late_freeRes > list_Late_freeRes > list_Late_freeRes ).

thf(func_def_64,type,
    cons_Late_subject: late_subject > list_Late_subject > list_Late_subject ).

thf(func_def_65,type,
    cons_l798145763e_name: list_P227219501e_name > list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_66,type,
    cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).

thf(func_def_67,type,
    nil_li29751603e_name: list_l1406151091e_name ).

thf(func_def_68,type,
    nil_Pr743626285e_name: list_P227219501e_name ).

thf(func_def_69,type,
    abs_fun_name_pi: name > pi > name > noption_pi ).

thf(func_def_70,type,
    fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).

thf(func_def_71,type,
    fresh_name_name: name > name > $o ).

thf(func_def_72,type,
    fresh_name_pi: name > pi > $o ).

thf(func_def_73,type,
    fresh_name_pi_Rep: name > pi_Rep > $o ).

thf(func_def_74,type,
    fresh_1641682979reeRes: name > late_freeRes > $o ).

thf(func_def_75,type,
    fresh_81631222sidual: name > late_residual > $o ).

thf(func_def_76,type,
    fresh_717452603ubject: name > late_subject > $o ).

thf(func_def_77,type,
    fresh_1135477378ion_pi: name > list_name_noption_pi > $o ).

thf(func_def_78,type,
    fresh_name_list_name: name > list_name > $o ).

thf(func_def_79,type,
    fresh_name_list_pi: name > list_pi > $o ).

thf(func_def_80,type,
    fresh_1981651763reeRes: name > list_Late_freeRes > $o ).

thf(func_def_81,type,
    fresh_838462539ubject: name > list_Late_subject > $o ).

thf(func_def_82,type,
    fresh_922791155e_name: name > list_P227219501e_name > $o ).

thf(func_def_83,type,
    fresh_441084397e_name: name > produc367475239e_name > $o ).

thf(func_def_84,type,
    fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).

thf(func_def_85,type,
    fresh_820177506ubject: name > produc865358760ubject > $o ).

thf(func_def_86,type,
    fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).

thf(func_def_87,type,
    fresh_2007541374s_name: name > produc2052722628s_name > $o ).

thf(func_def_88,type,
    fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).

thf(func_def_89,type,
    fresh_493808761reeRes: name > produc1357834675reeRes > $o ).

thf(func_def_90,type,
    fresh_1498103185ubject: name > produc214645451ubject > $o ).

thf(func_def_91,type,
    fresh_1953561446t_name: name > produc1998742700t_name > $o ).

thf(func_def_92,type,
    fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).

thf(func_def_93,type,
    fresh_1638563217reeRes: name > produc355105483reeRes > $o ).

thf(func_def_94,type,
    fresh_495373993ubject: name > produc1359399907ubject > $o ).

thf(func_def_95,type,
    perm_n382765978reeRes: list_P227219501e_name > ( name > late_freeRes ) > name > late_freeRes ).

thf(func_def_96,type,
    perm_n1387060402ubject: list_P227219501e_name > ( name > late_subject ) > name > late_subject ).

thf(func_def_97,type,
    perm_n1667196784ion_pi: list_P227219501e_name > ( name > noption_pi ) > name > noption_pi ).

thf(func_def_98,type,
    perm_n1333244520reeRes: list_P227219501e_name > ( pi > late_freeRes ) > pi > late_freeRes ).

thf(func_def_99,type,
    perm_n190055296ubject: list_P227219501e_name > ( pi > late_subject ) > pi > late_subject ).

thf(func_def_100,type,
    perm_n1841560599reeRes: list_P227219501e_name > ( pi_Rep > late_freeRes ) > pi_Rep > late_freeRes ).

thf(func_def_101,type,
    perm_n698371375ubject: list_P227219501e_name > ( pi_Rep > late_subject ) > pi_Rep > late_subject ).

thf(func_def_102,type,
    perm_n1446290985reeRes: list_P227219501e_name > ( late_freeRes > late_freeRes ) > late_freeRes > late_freeRes ).

thf(func_def_103,type,
    perm_n303101761ubject: list_P227219501e_name > ( late_freeRes > late_subject ) > late_freeRes > late_subject ).

thf(func_def_104,type,
    perm_n443561793reeRes: list_P227219501e_name > ( late_subject > late_freeRes ) > late_subject > late_freeRes ).

thf(func_def_105,type,
    perm_n1447856217ubject: list_P227219501e_name > ( late_subject > late_subject ) > late_subject > late_subject ).

thf(func_def_106,type,
    perm_name_o: list_P227219501e_name > $o > $o ).

thf(func_def_107,type,
    perm_name_name: list_P227219501e_name > name > name ).

thf(func_def_108,type,
    perm_name_pi: list_P227219501e_name > pi > pi ).

thf(func_def_109,type,
    perm_name_pi_Rep: list_P227219501e_name > pi_Rep > pi_Rep ).

thf(func_def_110,type,
    perm_n336613537reeRes: list_P227219501e_name > late_freeRes > late_freeRes ).

thf(func_def_111,type,
    perm_n1938283068es_Rep: list_P227219501e_name > late_freeRes_Rep > late_freeRes_Rep ).

thf(func_def_112,type,
    perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).

thf(func_def_113,type,
    perm_n890803237al_Rep: list_P227219501e_name > late_residual_Rep > late_residual_Rep ).

thf(func_def_114,type,
    perm_n1559866809ubject: list_P227219501e_name > late_subject > late_subject ).

thf(func_def_115,type,
    perm_n697952036ct_Rep: list_P227219501e_name > late_subject_Rep > late_subject_Rep ).

thf(func_def_116,type,
    perm_name_list_name: list_P227219501e_name > list_name > list_name ).

thf(func_def_117,type,
    perm_name_list_pi: list_P227219501e_name > list_pi > list_pi ).

thf(func_def_118,type,
    perm_n729617823pi_Rep: list_P227219501e_name > list_pi_Rep > list_pi_Rep ).

thf(func_def_119,type,
    perm_n808352945reeRes: list_P227219501e_name > list_Late_freeRes > list_Late_freeRes ).

thf(func_def_120,type,
    perm_n1812647369ubject: list_P227219501e_name > list_Late_subject > list_Late_subject ).

thf(func_def_121,type,
    perm_n1160739829e_name: list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).

thf(func_def_122,type,
    perm_n1415585007_pi_pi: list_P227219501e_name > product_prod_pi_pi > product_prod_pi_pi ).

thf(func_def_123,type,
    perm_n258463228s_name: list_P227219501e_name > produc2052722628s_name > produc2052722628s_name ).

thf(func_def_124,type,
    perm_n1211707594Res_pi: list_P227219501e_name > produc992857746Res_pi > produc992857746Res_pi ).

thf(func_def_125,type,
    perm_n840427369pi_Rep: list_P227219501e_name > produc1777919905pi_Rep > produc1777919905pi_Rep ).

thf(func_def_126,type,
    perm_n169932155reeRes: list_P227219501e_name > produc1357834675reeRes > produc1357834675reeRes ).

thf(func_def_127,type,
    perm_n1174226579ubject: list_P227219501e_name > produc214645451ubject > produc214645451ubject ).

thf(func_def_128,type,
    perm_n204483300t_name: list_P227219501e_name > produc1998742700t_name > produc1998742700t_name ).

thf(func_def_129,type,
    perm_n359102898ect_pi: list_P227219501e_name > produc140253050ect_pi > produc140253050ect_pi ).

thf(func_def_130,type,
    perm_n1467004033pi_Rep: list_P227219501e_name > produc257012921pi_Rep > produc257012921pi_Rep ).

thf(func_def_131,type,
    perm_n1314686611reeRes: list_P227219501e_name > produc355105483reeRes > produc355105483reeRes ).

thf(func_def_132,type,
    perm_n171497387ubject: list_P227219501e_name > produc1359399907ubject > produc1359399907ubject ).

thf(func_def_133,type,
    perm_name_set_name: list_P227219501e_name > set_name > set_name ).

thf(func_def_134,type,
    perm_name_set_pi: list_P227219501e_name > set_pi > set_pi ).

thf(func_def_135,type,
    perm_name_set_pi_Rep: list_P227219501e_name > set_pi_Rep > set_pi_Rep ).

thf(func_def_136,type,
    perm_n1555914327reeRes: list_P227219501e_name > set_Late_freeRes > set_Late_freeRes ).

thf(func_def_137,type,
    perm_n412725103ubject: list_P227219501e_name > set_Late_subject > set_Late_subject ).

thf(func_def_138,type,
    perm_n675238095_pi_pi: list_P227219501e_name > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ).

thf(func_def_139,type,
    swap_name2: produc367475239e_name > name > name ).

thf(func_def_140,type,
    produc1069608854e_name: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > produc1872410278e_name ).

thf(func_def_141,type,
    produc1570949143e_name: name > name > produc367475239e_name ).

thf(func_def_142,type,
    produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).

thf(func_def_143,type,
    produc607574050ubject: name > late_subject > produc865358760ubject ).

thf(func_def_144,type,
    product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).

thf(func_def_145,type,
    produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).

thf(func_def_146,type,
    produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).

thf(func_def_147,type,
    produc216486617pi_Rep: late_freeRes > pi_Rep > produc1777919905pi_Rep ).

thf(func_def_148,type,
    produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).

thf(func_def_149,type,
    produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).

thf(func_def_150,type,
    produc1647375838t_name: late_subject > name > produc1998742700t_name ).

thf(func_def_151,type,
    produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).

thf(func_def_152,type,
    produc843063281pi_Rep: late_subject > pi_Rep > produc257012921pi_Rep ).

thf(func_def_153,type,
    produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).

thf(func_def_154,type,
    produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).

thf(func_def_155,type,
    produc208131031e_name: list_P227219501e_name > list_P227219501e_name > produc890461031e_name ).

thf(func_def_156,type,
    eqvt_pi: set_Pr1834926343_pi_pi > $o ).

thf(func_def_157,type,
    collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).

thf(func_def_158,type,
    strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).

thf(func_def_159,type,
    strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).

thf(func_def_160,type,
    member_name: name > set_name > $o ).

thf(func_def_161,type,
    member_pi: pi > set_pi > $o ).

thf(func_def_162,type,
    member_pi_Rep: pi_Rep > set_pi_Rep > $o ).

thf(func_def_163,type,
    member_Late_freeRes: late_freeRes > set_Late_freeRes > $o ).

thf(func_def_164,type,
    member_Late_subject: late_subject > set_Late_subject > $o ).

thf(func_def_165,type,
    member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).

thf(func_def_166,type,
    p: pi ).

thf(func_def_167,type,
    p2: pi ).

thf(func_def_168,type,
    pxQ: pi ).

thf(func_def_169,type,
    q: pi ).

thf(func_def_170,type,
    q2: pi ).

thf(func_def_171,type,
    q_a: pi ).

thf(func_def_172,type,
    rel: set_Pr1834926343_pi_pi ).

thf(func_def_173,type,
    alpha: late_freeRes ).

thf(func_def_174,type,
    aa: name ).

thf(func_def_175,type,
    b: name ).

thf(func_def_176,type,
    x: name ).

thf(func_def_177,type,
    y: name ).

thf(func_def_178,type,
    z: name ).

thf(func_def_196,type,
    sK0: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_197,type,
    sK1: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_199,type,
    sP2: late_residual > name > pi > $o ).

thf(func_def_200,type,
    sP3: late_residual > name > pi > $o ).

thf(func_def_201,type,
    sP4: late_subject > name > pi > name > pi > $o ).

thf(func_def_202,type,
    sP5: late_subject > name > pi > pi > pi > $o ).

thf(func_def_203,type,
    sP6: ( late_subject > pi > $o ) > name > pi > name > late_subject > $o ).

thf(func_def_204,type,
    sK7: late_freeRes > name ).

thf(func_def_205,type,
    sK8: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_206,type,
    sK9: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_207,type,
    sK10: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_208,type,
    sK11: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_209,type,
    sK12: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_210,type,
    sK13: ( late_subject > late_residual > $o ) > pi ).

thf(func_def_211,type,
    sK14: ( late_subject > late_residual > $o ) > late_freeRes ).

thf(func_def_212,type,
    sK15: ( late_subject > late_residual > $o ) > name ).

thf(func_def_213,type,
    sK16: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_214,type,
    sK17: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_215,type,
    sK18: ( late_subject > late_residual > $o ) > pi ).

thf(func_def_216,type,
    sK19: product_prod_pi_pi > pi ).

thf(func_def_217,type,
    sK20: product_prod_pi_pi > pi ).

thf(func_def_218,type,
    sK21: pi > name > ( pi > $o ) > late_freeRes > pi ).

thf(func_def_219,type,
    sK22: ( name > late_residual > $o ) > name ).

thf(func_def_220,type,
    sK23: ( name > late_residual > $o ) > late_freeRes ).

thf(func_def_221,type,
    sK24: ( name > late_residual > $o ) > pi ).

thf(func_def_222,type,
    sK25: ( name > late_residual > $o ) > late_subject ).

thf(func_def_223,type,
    sK26: ( name > late_residual > $o ) > name ).

thf(func_def_224,type,
    sK27: ( name > late_residual > $o ) > pi ).

thf(func_def_225,type,
    sK28: ( name > late_residual > $o ) > name ).

thf(func_def_226,type,
    sK29: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_227,type,
    sK30: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_228,type,
    sK31: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_229,type,
    sK32: ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_230,type,
    sK33: pi > ( pi > $o ) > pi > name > late_subject > pi ).

thf(func_def_231,type,
    sK34: pi > ( pi > $o ) > pi > name > late_subject > pi ).

thf(func_def_232,type,
    sK35: ( produc367475239e_name > $o ) > name ).

thf(func_def_233,type,
    sK36: ( produc367475239e_name > $o ) > name ).

thf(func_def_234,type,
    sK37: ( late_freeRes > $o ) > name ).

thf(func_def_235,type,
    sK38: ( late_freeRes > $o ) > name ).

thf(func_def_236,type,
    sK39: ( late_residual > $o ) > pi ).

thf(func_def_237,type,
    sK40: ( late_residual > $o ) > late_subject ).

thf(func_def_238,type,
    sK41: ( late_residual > $o ) > name ).

thf(func_def_239,type,
    sK42: ( late_residual > $o ) > pi ).

thf(func_def_240,type,
    sK43: ( late_residual > $o ) > late_freeRes ).

thf(func_def_241,type,
    sK44: pi > name ).

thf(func_def_242,type,
    sK45: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_243,type,
    sK46: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_244,type,
    sK47: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_245,type,
    sK48: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_246,type,
    sK49: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_247,type,
    sK50: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_248,type,
    sK51: late_subject > name ).

thf(func_def_249,type,
    sK52: ( late_freeRes > late_residual > $o ) > late_subject ).

thf(func_def_250,type,
    sK53: ( late_freeRes > late_residual > $o ) > pi ).

thf(func_def_251,type,
    sK54: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_252,type,
    sK55: ( late_freeRes > late_residual > $o ) > name ).

thf(func_def_253,type,
    sK56: ( late_freeRes > late_residual > $o ) > pi ).

thf(func_def_254,type,
    sK57: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_255,type,
    sK58: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_256,type,
    sK59: late_freeRes > pi > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_257,type,
    sK60: product_prod_pi_pi > pi ).

thf(func_def_258,type,
    sK61: product_prod_pi_pi > pi ).

thf(func_def_259,type,
    sK62: produc890461031e_name > list_P227219501e_name ).

thf(func_def_260,type,
    sK63: produc890461031e_name > list_P227219501e_name ).

thf(func_def_261,type,
    sK64: produc890461031e_name > list_P227219501e_name ).

thf(func_def_262,type,
    sK65: produc890461031e_name > produc367475239e_name ).

thf(func_def_263,type,
    sK66: produc890461031e_name > produc367475239e_name ).

thf(func_def_264,type,
    sK67: produc890461031e_name > list_P227219501e_name ).

thf(func_def_265,type,
    sK68: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_266,type,
    sK69: set_Pr1834926343_pi_pi > pi > pi > name ).

thf(func_def_267,type,
    sK70: set_Pr1834926343_pi_pi > pi > pi > late_subject ).

thf(func_def_268,type,
    sK71: set_Pr1834926343_pi_pi > pi > pi > pi ).

thf(func_def_269,type,
    sK72: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).

thf(func_def_270,type,
    sK73: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_271,type,
    sK74: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_272,type,
    sK75: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_273,type,
    sK76: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_274,type,
    sK77: list_P227219501e_name > produc367475239e_name ).

thf(func_def_275,type,
    sK78: list_P227219501e_name > produc367475239e_name ).

thf(func_def_276,type,
    sK79: list_P227219501e_name > list_P227219501e_name ).

thf(func_def_277,type,
    sK80: list_P227219501e_name > produc367475239e_name ).

thf(func_def_278,type,
    sK81: ( late_subject > late_residual > $o ) > name ).

thf(func_def_279,type,
    sK82: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_280,type,
    sK83: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_281,type,
    sK84: ( late_subject > late_residual > $o ) > pi ).

thf(func_def_282,type,
    sK85: ( late_subject > late_residual > $o ) > late_freeRes ).

thf(func_def_283,type,
    sK86: ( late_subject > late_residual > $o ) > late_subject ).

thf(func_def_284,type,
    sK87: ( late_subject > late_residual > $o ) > pi ).

thf(func_def_285,type,
    sK88: set_Pr1834926343_pi_pi > pi ).

thf(func_def_286,type,
    sK89: set_Pr1834926343_pi_pi > pi ).

thf(func_def_287,type,
    sK90: set_Pr1834926343_pi_pi > pi ).

thf(func_def_288,type,
    sK91: set_Pr1834926343_pi_pi > name ).

thf(func_def_289,type,
    sK92: set_Pr1834926343_pi_pi > pi ).

thf(func_def_290,type,
    sK93: set_Pr1834926343_pi_pi > pi ).

thf(func_def_291,type,
    sK94: set_Pr1834926343_pi_pi > pi ).

thf(func_def_292,type,
    sK95: set_Pr1834926343_pi_pi > pi ).

thf(func_def_293,type,
    sK96: set_Pr1834926343_pi_pi > pi ).

thf(func_def_294,type,
    sK97: set_Pr1834926343_pi_pi > name ).

thf(func_def_295,type,
    sK98: set_Pr1834926343_pi_pi > pi ).

thf(func_def_296,type,
    sK99: set_Pr1834926343_pi_pi > pi ).

thf(func_def_297,type,
    sK100: set_Pr1834926343_pi_pi > pi ).

thf(func_def_298,type,
    sK101: set_Pr1834926343_pi_pi > name ).

thf(func_def_299,type,
    sK102: produc1872410278e_name > list_P227219501e_name ).

thf(func_def_300,type,
    sK103: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_301,type,
    sK104: produc1872410278e_name > produc367475239e_name ).

thf(func_def_302,type,
    sK105: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_303,type,
    sK106: ( pi > late_residual > $o ) > pi ).

thf(func_def_304,type,
    sK107: ( pi > late_residual > $o ) > name ).

thf(func_def_305,type,
    sK108: ( pi > late_residual > $o ) > late_subject ).

thf(func_def_306,type,
    sK109: ( pi > late_residual > $o ) > pi ).

thf(func_def_307,type,
    sK110: ( pi > late_residual > $o ) > pi ).

thf(func_def_308,type,
    sK111: ( pi > late_residual > $o ) > late_freeRes ).

thf(func_def_309,type,
    sK112: ( pi > late_residual > $o ) > pi ).

thf(func_def_310,type,
    sK113: late_subject > name > pi > pi > set_Pr1834926343_pi_pi > pi ).

thf(func_def_311,type,
    sK114: ( produc367475239e_name > $o ) > name ).

thf(func_def_312,type,
    sK115: ( produc367475239e_name > $o ) > name ).

thf(func_def_313,type,
    sK116: late_residual > name > pi > name ).

thf(func_def_314,type,
    sK117: late_residual > name > pi > pi ).

thf(func_def_315,type,
    sK118: late_residual > name > pi > name ).

thf(func_def_316,type,
    sK119: late_residual > name > pi > pi ).

thf(func_def_317,type,
    sK120: late_residual > name > pi > pi ).

thf(func_def_318,type,
    sK121: late_residual > name > pi > name ).

thf(func_def_319,type,
    sK122: late_residual > name > pi > pi ).

thf(func_def_320,type,
    sK123: late_residual > name > pi > late_subject ).

thf(func_def_321,type,
    sK124: late_residual > name > pi > name ).

thf(func_def_322,type,
    sK125: pi > late_residual > name > name ).

thf(func_def_323,type,
    sK126: pi > late_residual > name > pi ).

thf(func_def_324,type,
    sK127: pi > late_residual > name > late_freeRes ).

thf(func_def_325,type,
    sK128: pi > late_residual > name > pi ).

thf(func_def_326,type,
    sK129: late_subject > name > pi > name > pi > late_subject ).

thf(func_def_327,type,
    sK130: late_subject > name > pi > name > pi > name ).

thf(func_def_328,type,
    sK131: late_subject > name > pi > name > pi > name ).

thf(func_def_329,type,
    sK132: late_subject > name > pi > name > pi > pi ).

thf(func_def_330,type,
    sK133: late_subject > name > pi > name > pi > pi ).

thf(func_def_331,type,
    sK134: name > name > pi > late_subject > pi > pi ).

thf(func_def_332,type,
    sK135: name > name > pi > late_subject > pi > name ).

thf(func_def_333,type,
    sK136: name > name > pi > late_subject > pi > name ).

thf(func_def_334,type,
    sK137: name > name > pi > late_subject > pi > pi ).

thf(func_def_335,type,
    sK138: late_subject > name > pi > pi > pi > late_subject ).

thf(func_def_336,type,
    sK139: late_subject > name > pi > pi > pi > pi ).

thf(func_def_337,type,
    sK140: late_subject > name > pi > pi > pi > name ).

thf(func_def_338,type,
    sK141: late_subject > name > pi > pi > pi > pi ).

thf(func_def_339,type,
    sK142: late_subject > name > pi > pi > pi > pi ).

thf(func_def_340,type,
    sK143: late_subject > pi > pi > name > pi > name ).

thf(func_def_341,type,
    sK144: late_subject > pi > pi > name > pi > pi ).

thf(func_def_342,type,
    sK145: late_subject > pi > pi > name > pi > late_subject ).

thf(func_def_343,type,
    sK146: late_subject > pi > pi > name > pi > pi ).

thf(func_def_344,type,
    sK147: late_subject > pi > pi > name > pi > pi ).

thf(func_def_345,type,
    sK148: name > pi > pi > late_freeRes > pi ).

thf(func_def_346,type,
    sK149: name > pi > pi > late_freeRes > name ).

thf(func_def_347,type,
    sK150: name > pi > pi > late_freeRes > pi ).

thf(func_def_348,type,
    sK151: name > pi > pi > late_freeRes > late_freeRes ).

thf(func_def_349,type,
    sK152: ( late_subject > pi > $o ) > name > pi > name > late_subject > pi ).

thf(func_def_350,type,
    sK153: ( late_subject > pi > $o ) > name > pi > name > late_subject > name ).

thf(func_def_351,type,
    sK154: late_subject > pi > ( late_subject > pi > $o ) > name > name > pi ).

thf(func_def_352,type,
    sK155: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_353,type,
    sK156: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_354,type,
    sK157: produc1872410278e_name > produc367475239e_name ).

thf(func_def_355,type,
    sK158: produc1872410278e_name > produc367475239e_name ).

thf(func_def_356,type,
    sK159: produc1872410278e_name > list_P227219501e_name ).

thf(func_def_357,type,
    sK160: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).

thf(func_def_358,type,
    sK161: produc1872410278e_name > produc367475239e_name ).

thf(func_def_359,type,
    sK162: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_360,type,
    sK163: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_361,type,
    sK164: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_362,type,
    sK165: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_363,type,
    sK166: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_364,type,
    sK167: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_365,type,
    sK168: ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_366,type,
    sK169: ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_367,type,
    sK170: list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_368,type,
    sK171: list_l1406151091e_name > produc367475239e_name ).

thf(func_def_369,type,
    sK172: list_l1406151091e_name > list_P227219501e_name ).

thf(func_def_370,type,
    sK173: list_l1406151091e_name > list_l1406151091e_name ).

thf(func_def_371,type,
    sK174: name > name ).

thf(func_def_372,type,
    sK175: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_373,type,
    sK176: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_374,type,
    sK177: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_375,type,
    sK178: ( list_P227219501e_name > $o ) > produc367475239e_name ).

thf(func_def_376,type,
    sK179: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_377,type,
    sK180: ( product_prod_pi_pi > $o ) > pi ).

thf(func_def_378,type,
    sK181: list_P227219501e_name > list_P227219501e_name ).

thf(func_def_379,type,
    sK182: list_P227219501e_name > produc367475239e_name ).

thf(func_def_380,type,
    sK183: set_Pr1834926343_pi_pi > pi ).

thf(func_def_381,type,
    sK184: set_Pr1834926343_pi_pi > pi ).

thf(func_def_382,type,
    sK185: set_Pr1834926343_pi_pi > pi ).

thf(func_def_383,type,
    sK186: set_Pr1834926343_pi_pi > name ).

thf(func_def_384,type,
    sK187: set_Pr1834926343_pi_pi > pi ).

thf(func_def_385,type,
    sK188: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_386,type,
    sK189: ( late_freeRes > late_residual > $o ) > name ).

thf(func_def_387,type,
    sK190: ( late_freeRes > late_residual > $o ) > late_subject ).

thf(func_def_388,type,
    sK191: ( late_freeRes > late_residual > $o ) > pi ).

thf(func_def_389,type,
    sK192: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_390,type,
    sK193: ( late_freeRes > late_residual > $o ) > late_freeRes ).

thf(func_def_391,type,
    sK194: ( late_freeRes > late_residual > $o ) > pi ).

thf(func_def_392,type,
    sK195: produc367475239e_name > name ).

thf(func_def_393,type,
    sK196: produc367475239e_name > name ).

thf(func_def_394,type,
    sK197: ( late_subject > $o ) > name ).

thf(func_def_395,type,
    sK198: ( late_subject > $o ) > name ).

thf(func_def_396,type,
    sK199: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(func_def_397,type,
    sK200: ( name > late_residual > $o ) > name ).

thf(func_def_398,type,
    sK201: ( name > late_residual > $o ) > late_subject ).

thf(func_def_399,type,
    sK202: ( name > late_residual > $o ) > name ).

thf(func_def_400,type,
    sK203: ( name > late_residual > $o ) > pi ).

thf(func_def_401,type,
    sK204: ( name > late_residual > $o ) > name ).

thf(func_def_402,type,
    sK205: ( name > late_residual > $o ) > late_freeRes ).

thf(func_def_403,type,
    sK206: ( name > late_residual > $o ) > pi ).

thf(func_def_404,type,
    sK207: ( pi > late_residual > $o ) > pi ).

thf(func_def_405,type,
    sK208: ( pi > late_residual > $o ) > late_freeRes ).

thf(func_def_406,type,
    sK209: ( pi > late_residual > $o ) > pi ).

thf(func_def_407,type,
    sK210: ( pi > late_residual > $o ) > pi ).

thf(func_def_408,type,
    sK211: ( pi > late_residual > $o ) > name ).

thf(func_def_409,type,
    sK212: ( pi > late_residual > $o ) > late_subject ).

thf(func_def_410,type,
    sK213: ( pi > late_residual > $o ) > pi ).

thf(func_def_411,type,
    sK214: produc890461031e_name > list_P227219501e_name ).

thf(func_def_412,type,
    sK215: produc890461031e_name > list_P227219501e_name ).

thf(func_def_413,type,
    sK216: produc890461031e_name > produc367475239e_name ).

thf(func_def_414,type,
    sK217: produc890461031e_name > list_P227219501e_name ).

thf(func_def_415,type,
    sK218: late_freeRes > name ).

thf(func_def_416,type,
    sK219: late_freeRes > name ).

thf(func_def_417,type,
    sK220: late_subject > name ).

thf(func_def_418,type,
    sK221: late_subject > name ).

thf(func_def_419,type,
    sK222: produc367475239e_name > name ).

thf(func_def_420,type,
    sK223: produc367475239e_name > name ).

thf(func_def_422,type,
    ph225: 
      !>[X0: $tType] : X0 ).

thf(f2162,plain,
    $false,
    inference(subsumption_resolution,[],[f2148,f1894]) ).

thf(f1894,plain,
    ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
    = $true ),
    inference(cnf_transformation,[],[f983]) ).

thf(f983,plain,
    ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
    = $true ),
    inference(fool_elimination,[],[f982]) ).

thf(f982,plain,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_cOpen_Ohyps_I1_J) ).

thf(f2148,plain,
    ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
   != $true ),
    inference(trivial_inequality_removal,[],[f2146]) ).

thf(f2146,plain,
    ( ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
     != $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f2009,f1973]) ).

thf(f1973,plain,
    ! [X2: late_residual,X0: pi,X1: list_P227219501e_name] :
      ( ( $true
        = ( late_transitions @ ( perm_name_pi @ X1 @ X0 ) @ ( perm_n414416632sidual @ X1 @ X2 ) ) )
      | ( $true
       != ( late_transitions @ X0 @ X2 ) ) ),
    inference(cnf_transformation,[],[f1304]) ).

thf(f1304,plain,
    ! [X0: pi,X1: list_P227219501e_name,X2: late_residual] :
      ( ( $true
        = ( late_transitions @ ( perm_name_pi @ X1 @ X0 ) @ ( perm_n414416632sidual @ X1 @ X2 ) ) )
      | ( $true
       != ( late_transitions @ X0 @ X2 ) ) ),
    inference(ennf_transformation,[],[f817]) ).

thf(f817,plain,
    ! [X0: pi,X1: list_P227219501e_name,X2: late_residual] :
      ( ( $true
        = ( late_transitions @ X0 @ X2 ) )
     => ( $true
        = ( late_transitions @ ( perm_name_pi @ X1 @ X0 ) @ ( perm_n414416632sidual @ X1 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f816]) ).

thf(f816,plain,
    ! [X0: pi,X1: list_P227219501e_name,X2: late_residual] :
      ( ( late_transitions @ X0 @ X2 )
     => ( late_transitions @ ( perm_name_pi @ X1 @ X0 ) @ ( perm_n414416632sidual @ X1 @ X2 ) ) ),
    inference(rectify,[],[f42]) ).

thf(f42,axiom,
    ! [X3: pi,X5: list_P227219501e_name,X4: late_residual] :
      ( ( late_transitions @ X3 @ X4 )
     => ( late_transitions @ ( perm_name_pi @ X5 @ X3 ) @ ( perm_n414416632sidual @ X5 @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_eqvt) ).

thf(f2009,plain,
    ( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) ) )
   != $true ),
    inference(definition_unfolding,[],[f1621,f1733]) ).

thf(f1733,plain,
    aa = b,
    inference(cnf_transformation,[],[f529]) ).

thf(f529,plain,
    aa = b,
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    aa = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062a_A_061_Ab_092_060close_062) ).

thf(f1621,plain,
    ( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
   != $true ),
    inference(cnf_transformation,[],[f1088]) ).

thf(f1088,plain,
    ( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
   != $true ),
    inference(flattening,[],[f461]) ).

thf(f461,plain,
    ( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
   != $true ),
    inference(fool_elimination,[],[f460]) ).

thf(f460,plain,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(rectify,[],[f362]) ).

thf(f362,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(negated_conjecture,[],[f361]) ).

thf(f361,conjecture,
    late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ITP190^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 16:32:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.34  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40  % (6542)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.20/0.41  % (6546)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.41  % (6544)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41  % (6540)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.41  % (6543)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41  % (6544)Instruction limit reached!
% 0.20/0.41  % (6544)------------------------------
% 0.20/0.41  % (6544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (6544)Termination reason: Unknown
% 0.20/0.41  % (6544)Termination phase: shuffling
% 0.20/0.41  
% 0.20/0.41  % (6544)Memory used [KB]: 1663
% 0.20/0.41  % (6544)Time elapsed: 0.004 s
% 0.20/0.41  % (6544)Instructions burned: 2 (million)
% 0.20/0.41  % (6544)------------------------------
% 0.20/0.41  % (6544)------------------------------
% 0.20/0.41  % (6545)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.20/0.41  % (6547)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41  % (6541)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41  % (6547)Instruction limit reached!
% 0.20/0.41  % (6547)------------------------------
% 0.20/0.41  % (6547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (6547)Termination reason: Unknown
% 0.20/0.41  % (6547)Termination phase: shuffling
% 0.20/0.41  
% 0.20/0.41  % (6547)Memory used [KB]: 1663
% 0.20/0.42  % (6547)Time elapsed: 0.004 s
% 0.20/0.42  % (6547)Instructions burned: 4 (million)
% 0.20/0.42  % (6547)------------------------------
% 0.20/0.42  % (6547)------------------------------
% 0.20/0.42  % (6541)Instruction limit reached!
% 0.20/0.42  % (6541)------------------------------
% 0.20/0.42  % (6541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (6541)Termination reason: Unknown
% 0.20/0.42  % (6541)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (6541)Memory used [KB]: 1663
% 0.20/0.42  % (6541)Time elapsed: 0.005 s
% 0.20/0.42  % (6541)Instructions burned: 4 (million)
% 0.20/0.42  % (6541)------------------------------
% 0.20/0.42  % (6541)------------------------------
% 0.20/0.42  % (6543)Instruction limit reached!
% 0.20/0.42  % (6543)------------------------------
% 0.20/0.42  % (6543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (6543)Termination reason: Unknown
% 0.20/0.42  % (6543)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (6543)Memory used [KB]: 1535
% 0.20/0.42  % (6543)Time elapsed: 0.005 s
% 0.20/0.42  % (6543)Instructions burned: 2 (million)
% 0.20/0.42  % (6543)------------------------------
% 0.20/0.42  % (6543)------------------------------
% 0.20/0.42  % (6542)Instruction limit reached!
% 0.20/0.42  % (6542)------------------------------
% 0.20/0.42  % (6542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (6542)Termination reason: Unknown
% 0.20/0.42  % (6542)Termination phase: Property scanning
% 0.20/0.42  
% 0.20/0.42  % (6542)Memory used [KB]: 2046
% 0.20/0.42  % (6542)Time elapsed: 0.016 s
% 0.20/0.42  % (6542)Instructions burned: 28 (million)
% 0.20/0.42  % (6542)------------------------------
% 0.20/0.42  % (6542)------------------------------
% 0.20/0.42  % (6546)Instruction limit reached!
% 0.20/0.42  % (6546)------------------------------
% 0.20/0.42  % (6546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (6546)Termination reason: Unknown
% 0.20/0.42  % (6546)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (6546)Memory used [KB]: 1918
% 0.20/0.42  % (6546)Time elapsed: 0.014 s
% 0.20/0.42  % (6546)Instructions burned: 18 (million)
% 0.20/0.42  % (6546)------------------------------
% 0.20/0.42  % (6546)------------------------------
% 0.20/0.43  % (6549)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.43  % (6550)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.43  % (6553)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.44  % (6551)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.44  % (6550)Instruction limit reached!
% 0.20/0.44  % (6550)------------------------------
% 0.20/0.44  % (6550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (6550)Termination reason: Unknown
% 0.20/0.44  % (6550)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (6550)Memory used [KB]: 1918
% 0.20/0.44  % (6550)Time elapsed: 0.010 s
% 0.20/0.44  % (6550)Instructions burned: 16 (million)
% 0.20/0.44  % (6550)------------------------------
% 0.20/0.44  % (6550)------------------------------
% 0.20/0.44  % (6551)Instruction limit reached!
% 0.20/0.44  % (6551)------------------------------
% 0.20/0.44  % (6551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (6551)Termination reason: Unknown
% 0.20/0.44  % (6551)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (6551)Memory used [KB]: 1663
% 0.20/0.44  % (6551)Time elapsed: 0.005 s
% 0.20/0.44  % (6551)Instructions burned: 3 (million)
% 0.20/0.44  % (6551)------------------------------
% 0.20/0.44  % (6551)------------------------------
% 0.20/0.44  % (6554)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.45  % (6554)Instruction limit reached!
% 0.20/0.45  % (6554)------------------------------
% 0.20/0.45  % (6554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (6554)Termination reason: Unknown
% 0.20/0.45  % (6554)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (6554)Memory used [KB]: 1791
% 0.20/0.45  % (6554)Time elapsed: 0.009 s
% 0.20/0.45  % (6554)Instructions burned: 7 (million)
% 0.20/0.45  % (6554)------------------------------
% 0.20/0.45  % (6554)------------------------------
% 0.20/0.45  % (6559)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.45  % (6555)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.45  % (6559)Instruction limit reached!
% 0.20/0.45  % (6559)------------------------------
% 0.20/0.45  % (6559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (6559)Termination reason: Unknown
% 0.20/0.45  % (6559)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (6559)Memory used [KB]: 1535
% 0.20/0.45  % (6559)Time elapsed: 0.003 s
% 0.20/0.45  % (6559)Instructions burned: 3 (million)
% 0.20/0.45  % (6559)------------------------------
% 0.20/0.45  % (6559)------------------------------
% 0.20/0.45  % (6549)Instruction limit reached!
% 0.20/0.45  % (6549)------------------------------
% 0.20/0.45  % (6549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (6549)Termination reason: Unknown
% 0.20/0.45  % (6549)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (6549)Memory used [KB]: 2302
% 0.20/0.45  % (6549)Time elapsed: 0.027 s
% 0.20/0.45  % (6549)Instructions burned: 38 (million)
% 0.20/0.45  % (6549)------------------------------
% 0.20/0.45  % (6549)------------------------------
% 0.20/0.46  % (6560)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46  % (6555)Instruction limit reached!
% 0.20/0.46  % (6555)------------------------------
% 0.20/0.46  % (6555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (6555)Termination reason: Unknown
% 0.20/0.46  % (6555)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (6555)Memory used [KB]: 1918
% 0.20/0.46  % (6555)Time elapsed: 0.013 s
% 0.20/0.46  % (6555)Instructions burned: 17 (million)
% 0.20/0.46  % (6555)------------------------------
% 0.20/0.46  % (6555)------------------------------
% 0.20/0.46  % (6561)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.46  % (6560)Instruction limit reached!
% 0.20/0.46  % (6560)------------------------------
% 0.20/0.46  % (6560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (6560)Termination reason: Unknown
% 0.20/0.46  % (6560)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (6560)Memory used [KB]: 1663
% 0.20/0.46  % (6560)Time elapsed: 0.006 s
% 0.20/0.46  % (6560)Instructions burned: 3 (million)
% 0.20/0.46  % (6560)------------------------------
% 0.20/0.46  % (6560)------------------------------
% 0.20/0.47  % (6561)Instruction limit reached!
% 0.20/0.47  % (6561)------------------------------
% 0.20/0.47  % (6561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (6561)Termination reason: Unknown
% 0.20/0.47  % (6561)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (6561)Memory used [KB]: 1791
% 0.20/0.47  % (6561)Time elapsed: 0.005 s
% 0.20/0.47  % (6561)Instructions burned: 7 (million)
% 0.20/0.47  % (6561)------------------------------
% 0.20/0.47  % (6561)------------------------------
% 0.20/0.47  % (6563)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.20/0.47  % (6563)Instruction limit reached!
% 0.20/0.47  % (6563)------------------------------
% 0.20/0.47  % (6563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (6563)Termination reason: Unknown
% 0.20/0.47  % (6563)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (6563)Memory used [KB]: 1663
% 0.20/0.47  % (6563)Time elapsed: 0.005 s
% 0.20/0.47  % (6563)Instructions burned: 4 (million)
% 0.20/0.47  % (6563)------------------------------
% 0.20/0.47  % (6563)------------------------------
% 0.20/0.48  % (6562)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.48  % (6562)Instruction limit reached!
% 0.20/0.48  % (6562)------------------------------
% 0.20/0.48  % (6562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (6562)Termination reason: Unknown
% 0.20/0.48  % (6562)Termination phase: shuffling
% 0.20/0.48  
% 0.20/0.48  % (6562)Memory used [KB]: 1663
% 0.20/0.48  % (6562)Time elapsed: 0.004 s
% 0.20/0.48  % (6562)Instructions burned: 3 (million)
% 0.20/0.48  % (6562)------------------------------
% 0.20/0.48  % (6562)------------------------------
% 0.20/0.48  % (6566)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.20/0.48  % (6566)Instruction limit reached!
% 0.20/0.48  % (6566)------------------------------
% 0.20/0.48  % (6566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (6566)Termination reason: Unknown
% 0.20/0.48  % (6566)Termination phase: shuffling
% 0.20/0.48  
% 0.20/0.48  % (6566)Memory used [KB]: 1791
% 0.20/0.48  % (6566)Time elapsed: 0.005 s
% 0.20/0.48  % (6566)Instructions burned: 7 (million)
% 0.20/0.48  % (6566)------------------------------
% 0.20/0.48  % (6566)------------------------------
% 0.20/0.48  % (6565)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.20/0.49  % (6540)Instruction limit reached!
% 0.20/0.49  % (6540)------------------------------
% 0.20/0.49  % (6540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49  % (6540)Termination reason: Unknown
% 0.20/0.49  % (6540)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (6540)Memory used [KB]: 7547
% 0.20/0.49  % (6540)Time elapsed: 0.079 s
% 0.20/0.49  % (6540)Instructions burned: 183 (million)
% 0.20/0.49  % (6540)------------------------------
% 0.20/0.49  % (6540)------------------------------
% 0.20/0.49  % (6564)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.20/0.49  % (6545)Refutation not found, incomplete strategy
% 0.20/0.49  % (6545)------------------------------
% 0.20/0.49  % (6545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49  % (6545)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  % (6545)Memory used [KB]: 7547
% 0.20/0.49  % (6545)Time elapsed: 0.093 s
% 0.20/0.49  % (6545)Instructions burned: 108 (million)
% 0.20/0.49  % (6545)------------------------------
% 0.20/0.49  % (6545)------------------------------
% 0.20/0.49  % (6567)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2998ds/902Mi)
% 0.20/0.50  % (6564)Instruction limit reached!
% 0.20/0.50  % (6564)------------------------------
% 0.20/0.50  % (6564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (6564)Termination reason: Unknown
% 0.20/0.50  % (6564)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (6564)Memory used [KB]: 1918
% 0.20/0.50  % (6564)Time elapsed: 0.014 s
% 0.20/0.50  % (6564)Instructions burned: 18 (million)
% 0.20/0.50  % (6564)------------------------------
% 0.20/0.50  % (6564)------------------------------
% 0.20/0.50  % (6570)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.20/0.50  % (6571)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.50  % (6569)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.20/0.50  % (6570)Instruction limit reached!
% 0.20/0.50  % (6570)------------------------------
% 0.20/0.50  % (6570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (6570)Termination reason: Unknown
% 0.20/0.50  % (6570)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (6570)Memory used [KB]: 1791
% 0.20/0.50  % (6570)Time elapsed: 0.005 s
% 0.20/0.50  % (6570)Instructions burned: 6 (million)
% 0.20/0.50  % (6570)------------------------------
% 0.20/0.50  % (6570)------------------------------
% 0.20/0.50  % (6568)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.51  % (6569)Instruction limit reached!
% 0.20/0.51  % (6569)------------------------------
% 0.20/0.51  % (6569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51  % (6569)Termination reason: Unknown
% 0.20/0.51  % (6569)Termination phase: shuffling
% 0.20/0.51  
% 0.20/0.51  % (6569)Memory used [KB]: 1663
% 0.20/0.51  % (6569)Time elapsed: 0.005 s
% 0.20/0.51  % (6569)Instructions burned: 6 (million)
% 0.20/0.51  % (6569)------------------------------
% 0.20/0.51  % (6569)------------------------------
% 0.20/0.51  % (6572)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.20/0.52  % (6568)Instruction limit reached!
% 0.20/0.52  % (6568)------------------------------
% 0.20/0.52  % (6568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52  % (6568)Termination reason: Unknown
% 0.20/0.52  % (6568)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (6568)Memory used [KB]: 1918
% 0.20/0.52  % (6568)Time elapsed: 0.012 s
% 0.20/0.52  % (6568)Instructions burned: 22 (million)
% 0.20/0.52  % (6568)------------------------------
% 0.20/0.52  % (6568)------------------------------
% 0.20/0.52  % (6573)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.52  % (6574)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.52  % (6573)Instruction limit reached!
% 0.20/0.52  % (6573)------------------------------
% 0.20/0.52  % (6573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52  % (6573)Termination reason: Unknown
% 0.20/0.52  % (6573)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (6573)Memory used [KB]: 2046
% 0.20/0.52  % (6573)Time elapsed: 0.010 s
% 0.20/0.52  % (6573)Instructions burned: 19 (million)
% 0.20/0.52  % (6573)------------------------------
% 0.20/0.52  % (6573)------------------------------
% 0.20/0.54  % (6576)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.54  % (6576)Instruction limit reached!
% 0.20/0.54  % (6576)------------------------------
% 0.20/0.54  % (6576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54  % (6576)Termination reason: Unknown
% 0.20/0.54  % (6575)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.54  % (6576)Termination phase: shuffling
% 0.20/0.54  
% 0.20/0.54  % (6576)Memory used [KB]: 1535
% 0.20/0.54  % (6576)Time elapsed: 0.003 s
% 0.20/0.54  % (6576)Instructions burned: 3 (million)
% 0.20/0.54  % (6576)------------------------------
% 0.20/0.54  % (6576)------------------------------
% 0.20/0.55  % (6575)Instruction limit reached!
% 0.20/0.55  % (6575)------------------------------
% 0.20/0.55  % (6575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55  % (6575)Termination reason: Unknown
% 0.20/0.55  % (6575)Termination phase: shuffling
% 0.20/0.55  
% 0.20/0.55  % (6575)Memory used [KB]: 1918
% 0.20/0.55  % (6575)Time elapsed: 0.008 s
% 0.20/0.55  % (6575)Instructions burned: 18 (million)
% 0.20/0.55  % (6575)------------------------------
% 0.20/0.55  % (6575)------------------------------
% 0.20/0.56  % (6577)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.56  % (6578)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 0.20/0.57  % (6577)Instruction limit reached!
% 0.20/0.57  % (6577)------------------------------
% 0.20/0.57  % (6577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57  % (6577)Termination reason: Unknown
% 0.20/0.57  % (6577)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (6577)Memory used [KB]: 2174
% 0.20/0.57  % (6577)Time elapsed: 0.013 s
% 0.20/0.57  % (6577)Instructions burned: 32 (million)
% 0.20/0.57  % (6577)------------------------------
% 0.20/0.57  % (6577)------------------------------
% 0.20/0.57  % (6567)Refutation not found, incomplete strategy
% 0.20/0.57  % (6567)------------------------------
% 0.20/0.57  % (6567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57  % (6567)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  % (6567)Memory used [KB]: 8187
% 0.20/0.57  % (6567)Time elapsed: 0.092 s
% 0.20/0.57  % (6567)Instructions burned: 174 (million)
% 0.20/0.57  % (6567)------------------------------
% 0.20/0.57  % (6567)------------------------------
% 0.20/0.58  % (6579)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.20/0.58  % (6580)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 0.20/0.58  % (6580)Instruction limit reached!
% 0.20/0.58  % (6580)------------------------------
% 0.20/0.58  % (6580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.58  % (6580)Termination reason: Unknown
% 0.20/0.58  % (6580)Termination phase: shuffling
% 0.20/0.58  
% 0.20/0.58  % (6580)Memory used [KB]: 1663
% 0.20/0.58  % (6580)Time elapsed: 0.003 s
% 0.20/0.58  % (6580)Instructions burned: 3 (million)
% 0.20/0.58  % (6580)------------------------------
% 0.20/0.58  % (6580)------------------------------
% 0.20/0.59  % (6581)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 0.20/0.60  % (6581)Instruction limit reached!
% 0.20/0.60  % (6581)------------------------------
% 0.20/0.60  % (6581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.60  % (6581)Termination reason: Unknown
% 0.20/0.60  % (6581)Termination phase: shuffling
% 0.20/0.60  
% 0.20/0.60  % (6581)Memory used [KB]: 1918
% 0.20/0.60  % (6581)Time elapsed: 0.009 s
% 0.20/0.60  % (6581)Instructions burned: 21 (million)
% 0.20/0.60  % (6581)------------------------------
% 0.20/0.60  % (6581)------------------------------
% 0.20/0.61  % (6579)Instruction limit reached!
% 0.20/0.61  % (6579)------------------------------
% 0.20/0.61  % (6579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.61  % (6579)Termination reason: Unknown
% 0.20/0.61  % (6579)Termination phase: Property scanning
% 0.20/0.61  
% 0.20/0.61  % (6579)Memory used [KB]: 2942
% 0.20/0.61  % (6579)Time elapsed: 0.031 s
% 0.20/0.61  % (6579)Instructions burned: 101 (million)
% 0.20/0.61  % (6579)------------------------------
% 0.20/0.61  % (6579)------------------------------
% 0.20/0.61  % (6582)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 0.20/0.62  % (6578)Instruction limit reached!
% 0.20/0.62  % (6578)------------------------------
% 0.20/0.62  % (6578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.62  % (6578)Termination reason: Unknown
% 0.20/0.62  % (6578)Termination phase: Property scanning
% 0.20/0.62  
% 0.20/0.62  % (6578)Memory used [KB]: 2814
% 0.20/0.62  % (6578)Time elapsed: 0.059 s
% 0.20/0.62  % (6578)Instructions burned: 128 (million)
% 0.20/0.62  % (6578)------------------------------
% 0.20/0.62  % (6578)------------------------------
% 0.20/0.62  % (6584)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 0.20/0.63  % (6582)Instruction limit reached!
% 0.20/0.63  % (6582)------------------------------
% 0.20/0.63  % (6582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.63  % (6582)Termination reason: Unknown
% 0.20/0.63  % (6582)Termination phase: Property scanning
% 0.20/0.63  
% 0.20/0.63  % (6582)Memory used [KB]: 2814
% 0.20/0.63  % (6582)Time elapsed: 0.029 s
% 0.20/0.63  % (6582)Instructions burned: 86 (million)
% 0.20/0.63  % (6582)------------------------------
% 0.20/0.63  % (6582)------------------------------
% 0.20/0.64  % (6585)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 0.20/0.65  % (6586)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 0.20/0.65  % (6585)Instruction limit reached!
% 0.20/0.65  % (6585)------------------------------
% 0.20/0.65  % (6585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.65  % (6585)Termination reason: Unknown
% 0.20/0.65  % (6585)Termination phase: shuffling
% 0.20/0.65  
% 0.20/0.65  % (6585)Memory used [KB]: 2302
% 0.20/0.65  % (6585)Time elapsed: 0.019 s
% 0.20/0.65  % (6585)Instructions burned: 39 (million)
% 0.20/0.65  % (6585)------------------------------
% 0.20/0.65  % (6585)------------------------------
% 0.20/0.67  % (6571)Instruction limit reached!
% 0.20/0.67  % (6571)------------------------------
% 0.20/0.67  % (6571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.67  % (6571)Termination reason: Unknown
% 0.20/0.67  % (6571)Termination phase: Saturation
% 0.20/0.67  
% 0.20/0.67  % (6571)Memory used [KB]: 8955
% 0.20/0.67  % (6571)Time elapsed: 0.168 s
% 0.20/0.67  % (6571)Instructions burned: 377 (million)
% 0.20/0.67  % (6571)------------------------------
% 0.20/0.67  % (6571)------------------------------
% 0.20/0.68  % (6584)Instruction limit reached!
% 0.20/0.68  % (6584)------------------------------
% 0.20/0.68  % (6584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.68  % (6584)Termination reason: Unknown
% 0.20/0.68  % (6584)Termination phase: Property scanning
% 0.20/0.68  
% 0.20/0.68  % (6584)Memory used [KB]: 2686
% 0.20/0.68  % (6584)Time elapsed: 0.055 s
% 0.20/0.68  % (6584)Instructions burned: 107 (million)
% 0.20/0.68  % (6584)------------------------------
% 0.20/0.68  % (6584)------------------------------
% 0.20/0.68  % (6588)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 0.20/0.68  % (6587)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 0.20/0.69  % (6589)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 0.20/0.70  % (6587)Instruction limit reached!
% 0.20/0.70  % (6587)------------------------------
% 0.20/0.70  % (6587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.70  % (6587)Termination reason: Unknown
% 0.20/0.70  % (6587)Termination phase: SInE selection
% 0.20/0.70  
% 0.20/0.70  % (6587)Memory used [KB]: 2046
% 0.20/0.70  % (6587)Time elapsed: 0.024 s
% 0.20/0.70  % (6587)Instructions burned: 47 (million)
% 0.20/0.70  % (6587)------------------------------
% 0.20/0.70  % (6587)------------------------------
% 0.20/0.71  % (6588)Instruction limit reached!
% 0.20/0.71  % (6588)------------------------------
% 0.20/0.71  % (6588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.71  % (6588)Termination reason: Unknown
% 0.20/0.71  % (6588)Termination phase: Property scanning
% 0.20/0.71  
% 0.20/0.71  % (6588)Memory used [KB]: 2942
% 0.20/0.71  % (6588)Time elapsed: 0.030 s
% 0.20/0.71  % (6588)Instructions burned: 100 (million)
% 0.20/0.71  % (6588)------------------------------
% 0.20/0.71  % (6588)------------------------------
% 0.20/0.72  % (6590)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 0.20/0.72  % (6591)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 0.20/0.73  % (6591)Instruction limit reached!
% 0.20/0.73  % (6591)------------------------------
% 0.20/0.73  % (6591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.73  % (6591)Termination reason: Unknown
% 0.20/0.73  % (6591)Termination phase: Property scanning
% 0.20/0.73  
% 0.20/0.73  % (6591)Memory used [KB]: 2046
% 0.20/0.73  % (6591)Time elapsed: 0.015 s
% 0.20/0.73  % (6591)Instructions burned: 40 (million)
% 0.20/0.73  % (6591)------------------------------
% 0.20/0.73  % (6591)------------------------------
% 0.20/0.74  % (6592)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 0.20/0.74  % (6592)Instruction limit reached!
% 0.20/0.74  % (6592)------------------------------
% 0.20/0.74  % (6592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.74  % (6592)Termination reason: Unknown
% 0.20/0.74  % (6592)Termination phase: shuffling
% 0.20/0.74  
% 0.20/0.74  % (6592)Memory used [KB]: 1663
% 0.20/0.74  % (6592)Time elapsed: 0.004 s
% 0.20/0.74  % (6592)Instructions burned: 6 (million)
% 0.20/0.74  % (6592)------------------------------
% 0.20/0.74  % (6592)------------------------------
% 0.20/0.75  % (6593)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 0.20/0.76  % (6589)First to succeed.
% 0.20/0.76  % (6589)Refutation found. Thanks to Tanya!
% 0.20/0.76  % SZS status Theorem for theBenchmark
% 0.20/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.76  % (6589)------------------------------
% 0.20/0.76  % (6589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.76  % (6589)Termination reason: Refutation
% 0.20/0.76  
% 0.20/0.76  % (6589)Memory used [KB]: 8827
% 0.20/0.76  % (6589)Time elapsed: 0.071 s
% 0.20/0.76  % (6589)Instructions burned: 202 (million)
% 0.20/0.76  % (6589)------------------------------
% 0.20/0.76  % (6589)------------------------------
% 0.20/0.76  % (6539)Success in time 0.412 s
% 0.20/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------