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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP066^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:10:34 AM UTC 2026

% Result   : Theorem 20.30s 3.15s
% Output   : Refutation 20.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  33 unt;   0 typ;   3 def)
%            Number of atoms       :   33 (  32 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  231 (   4   ~;   0   |;   0   &; 227   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :   33 (  32 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  717 ( 715 usr;  22 con; 0-6 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1066112583iset_a: $tType ).

thf(type_def_6,type,
    produc741964647iset_a: $tType ).

thf(type_def_7,type,
    set_Pr146455751iset_a: $tType ).

thf(type_def_8,type,
    set_Pr295926343Tree_a: $tType ).

thf(type_def_9,type,
    produc558600423iset_a: $tType ).

thf(type_def_10,type,
    produc1136638567Tree_a: $tType ).

thf(type_def_11,type,
    set_Pr1821581383od_a_a: $tType ).

thf(type_def_12,type,
    set_Pr220561863Tree_a: $tType ).

thf(type_def_13,type,
    produc2061001575od_a_a: $tType ).

thf(type_def_14,type,
    set_Pr720484615iset_a: $tType ).

thf(type_def_15,type,
    produc1254371559Tree_a: $tType ).

thf(type_def_16,type,
    produc1293660967iset_a: $tType ).

thf(type_def_17,type,
    set_Pr1948701895od_a_a: $tType ).

thf(type_def_18,type,
    multis782275565iset_a: $tType ).

thf(type_def_19,type,
    produc1572603623od_a_a: $tType ).

thf(type_def_20,type,
    set_Pr158363655iset_a: $tType ).

thf(type_def_21,type,
    produc1127127335iset_a: $tType ).

thf(type_def_22,type,
    multis2082063201Tree_a: $tType ).

thf(type_def_23,type,
    set_Pr1070816379Tree_a: $tType ).

thf(type_def_24,type,
    set_Pr921883667ee_a_a: $tType ).

thf(type_def_25,type,
    multis599418605od_a_a: $tType ).

thf(type_def_26,type,
    produc143150363Tree_a: $tType ).

thf(type_def_27,type,
    produc981471411ee_a_a: $tType ).

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

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

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

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

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

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

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

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

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

thf(type_def_37,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    plus_p1957546689iset_a: multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_1,type,
    plus_p1919096612iset_a: multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_2,type,
    plus_p1065544216Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_3,type,
    plus_p404985124od_a_a: multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_4,type,
    plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).

thf(func_def_5,type,
    zero_z1580389697iset_a: multiset_multiset_a ).

thf(func_def_6,type,
    zero_z1941791140iset_a: multis782275565iset_a ).

thf(func_def_7,type,
    zero_z2144236696Tree_a: multis2082063201Tree_a ).

thf(func_def_8,type,
    zero_z160849828od_a_a: multis599418605od_a_a ).

thf(func_def_9,type,
    zero_zero_multiset_a: multiset_a ).

thf(func_def_10,type,
    nO_MAT1617603563iset_a: multiset_a > multiset_a > $o ).

thf(func_def_11,type,
    heapIm970322378pify_a: tree_a > tree_a ).

thf(func_def_12,type,
    heapIm229596386mpty_a: tree_a > $o ).

thf(func_def_13,type,
    heapIm1057938560list_a: list_a > tree_a ).

thf(func_def_14,type,
    heapIm915766629_max_a: tree_a > produc143150363Tree_a ).

thf(func_def_15,type,
    heapIm1140443833left_a: tree_a > tree_a ).

thf(func_def_16,type,
    heapIm1637418125tree_a: list_a > tree_a ).

thf(func_def_17,type,
    heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).

thf(func_def_18,type,
    heapIm1257206334ight_a: tree_a > tree_a ).

thf(func_def_19,type,
    heapIm1091024090Down_a: tree_a > tree_a ).

thf(func_def_20,type,
    heap_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).

thf(func_def_21,type,
    heap_a_a: a > ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).

thf(func_def_22,type,
    heap_axioms_Tree_a_a: ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).

thf(func_def_23,type,
    heap_axioms_a_a: ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).

thf(func_def_24,type,
    e_a: tree_a ).

thf(func_def_25,type,
    t_a: a > tree_a > tree_a > tree_a ).

thf(func_def_26,type,
    in_tree_a: a > tree_a > $o ).

thf(func_def_27,type,
    is_heap_a: tree_a > $o ).

thf(func_def_28,type,
    multiset_a2: tree_a > multiset_a ).

thf(func_def_29,type,
    val_a: tree_a > a ).

thf(func_def_30,type,
    if_Pro1144176865Tree_a: $o > produc143150363Tree_a > produc143150363Tree_a > produc143150363Tree_a ).

thf(func_def_31,type,
    lattic146396397_Max_a: set_a > a ).

thf(func_def_32,type,
    add_mset_multiset_a: multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_33,type,
    add_ms1353365509iset_a: produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_34,type,
    add_ms205941497Tree_a: produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_35,type,
    add_ms1725977093od_a_a: product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_36,type,
    add_mset_a: a > multiset_a > multiset_a ).

thf(func_def_37,type,
    comm_m315775925iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_38,type,
    is_empty_a: multiset_a > $o ).

thf(func_def_39,type,
    mult1_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).

thf(func_def_40,type,
    mult1_599785114iset_a: set_Pr146455751iset_a > set_Pr1066112583iset_a ).

thf(func_def_41,type,
    mult1_470979598Tree_a: set_Pr220561863Tree_a > set_Pr295926343Tree_a ).

thf(func_def_42,type,
    mult1_1719650714od_a_a: set_Pr1948701895od_a_a > set_Pr1821581383od_a_a ).

thf(func_def_43,type,
    mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_44,type,
    mult_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).

thf(func_def_45,type,
    mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_46,type,
    set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).

thf(func_def_47,type,
    set_ms1768116836iset_a: multis782275565iset_a > set_Pr158363655iset_a ).

thf(func_def_48,type,
    set_ms1129970904Tree_a: multis2082063201Tree_a > set_Pr1070816379Tree_a ).

thf(func_def_49,type,
    set_ms1818337124od_a_a: multis599418605od_a_a > set_Product_prod_a_a ).

thf(func_def_50,type,
    set_mset_a: multiset_a > set_a ).

thf(func_def_51,type,
    ord_le1748873858_a_a_o: ( tree_a > a > $o ) > ( tree_a > a > $o ) > $o ).

thf(func_def_52,type,
    ord_le51495822et_a_o: ( multiset_a > multiset_a > $o ) > ( multiset_a > multiset_a > $o ) > $o ).

thf(func_def_53,type,
    ord_le1327026842ee_a_o: ( a > tree_a > $o ) > ( a > tree_a > $o ) > $o ).

thf(func_def_54,type,
    ord_less_eq_a_a_o: ( a > a > $o ) > ( a > a > $o ) > $o ).

thf(func_def_55,type,
    ord_le1199012836iset_a: multiset_a > multiset_a > $o ).

thf(func_def_56,type,
    ord_le864074675ee_a_a: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > $o ).

thf(func_def_57,type,
    ord_le1978107815iset_a: set_Pr158363655iset_a > set_Pr158363655iset_a > $o ).

thf(func_def_58,type,
    ord_le1013007387Tree_a: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > $o ).

thf(func_def_59,type,
    ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_60,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_61,type,
    ord_less_eq_a: a > a > $o ).

thf(func_def_62,type,
    produc649172771ee_a_a: tree_a > a > produc981471411ee_a_a ).

thf(func_def_63,type,
    produc1444952343iset_a: multiset_multiset_a > multiset_multiset_a > produc1293660967iset_a ).

thf(func_def_64,type,
    produc1226985431iset_a: multis782275565iset_a > multis782275565iset_a > produc741964647iset_a ).

thf(func_def_65,type,
    produc1608222167Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > produc1136638567Tree_a ).

thf(func_def_66,type,
    produc1859144151od_a_a: multis599418605od_a_a > multis599418605od_a_a > produc2061001575od_a_a ).

thf(func_def_67,type,
    produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).

thf(func_def_68,type,
    produc1898392407iset_a: produc1127127335iset_a > produc1127127335iset_a > produc558600423iset_a ).

thf(func_def_69,type,
    produc1002111575Tree_a: produc143150363Tree_a > produc143150363Tree_a > produc1254371559Tree_a ).

thf(func_def_70,type,
    produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).

thf(func_def_71,type,
    produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).

thf(func_def_72,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(func_def_73,type,
    product_fst_Tree_a_a: produc981471411ee_a_a > tree_a ).

thf(func_def_74,type,
    produc653373187iset_a: produc1127127335iset_a > multiset_a ).

thf(func_def_75,type,
    product_fst_a_Tree_a: produc143150363Tree_a > a ).

thf(func_def_76,type,
    product_fst_a_a: product_prod_a_a > a ).

thf(func_def_77,type,
    product_snd_Tree_a_a: produc981471411ee_a_a > a ).

thf(func_def_78,type,
    produc148952133iset_a: produc1127127335iset_a > multiset_a ).

thf(func_def_79,type,
    product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).

thf(func_def_80,type,
    product_snd_a_a: product_prod_a_a > a ).

thf(func_def_81,type,
    produc1478296771ee_a_a: produc981471411ee_a_a > produc143150363Tree_a ).

thf(func_def_82,type,
    produc506430135iset_a: produc1127127335iset_a > produc1127127335iset_a ).

thf(func_def_83,type,
    produc1515207979Tree_a: produc143150363Tree_a > produc981471411ee_a_a ).

thf(func_def_84,type,
    product_swap_a_a: product_prod_a_a > product_prod_a_a ).

thf(func_def_85,type,
    irrefl_a: set_Product_prod_a_a > $o ).

thf(func_def_86,type,
    trans_multiset_a: set_Pr158363655iset_a > $o ).

thf(func_def_87,type,
    trans_a: set_Product_prod_a_a > $o ).

thf(func_def_88,type,
    collection_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > $o ).

thf(func_def_89,type,
    collec1104713362iset_a: ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a ).

thf(func_def_90,type,
    collec486369286Tree_a: ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a ).

thf(func_def_91,type,
    collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).

thf(func_def_92,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_93,type,
    member_multiset_a: multiset_a > set_multiset_a > $o ).

thf(func_def_94,type,
    member1092636252ee_a_a: produc981471411ee_a_a > set_Pr921883667ee_a_a > $o ).

thf(func_def_95,type,
    member104214352iset_a: produc1293660967iset_a > set_Pr720484615iset_a > $o ).

thf(func_def_96,type,
    member219455632iset_a: produc741964647iset_a > set_Pr1066112583iset_a > $o ).

thf(func_def_97,type,
    member1298282640Tree_a: produc1136638567Tree_a > set_Pr295926343Tree_a > $o ).

thf(func_def_98,type,
    member1349055120od_a_a: produc2061001575od_a_a > set_Pr1821581383od_a_a > $o ).

thf(func_def_99,type,
    member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).

thf(func_def_100,type,
    member567864080iset_a: produc558600423iset_a > set_Pr146455751iset_a > $o ).

thf(func_def_101,type,
    member146662416Tree_a: produc1254371559Tree_a > set_Pr220561863Tree_a > $o ).

thf(func_def_102,type,
    member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_103,type,
    member254315204Tree_a: produc143150363Tree_a > set_Pr1070816379Tree_a > $o ).

thf(func_def_104,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_105,type,
    member_a: a > set_a > $o ).

thf(func_def_106,type,
    l1: tree_a ).

thf(func_def_107,type,
    l2: tree_a ).

thf(func_def_108,type,
    r1: tree_a ).

thf(func_def_109,type,
    r2: tree_a ).

thf(func_def_110,type,
    t: tree_a ).

thf(func_def_111,type,
    t2: tree_a ).

thf(func_def_112,type,
    t_a2: tree_a ).

thf(func_def_113,type,
    v1: a ).

thf(func_def_114,type,
    v2: a ).

thf(func_def_115,type,
    v: a ).

thf(func_def_116,type,
    v_a: a ).

thf(func_def_117,type,
    v3: a ).

thf(func_def_119,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_120,type,
    vAND: $o > $o > $o ).

thf(func_def_123,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_124,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_125,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_126,type,
    vOR: $o > $o > $o ).

thf(func_def_127,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_128,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_129,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_130,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_131,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_132,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_133,type,
    vIMP: $o > $o > $o ).

thf(func_def_134,type,
    vNOT: $o > $o ).

thf(func_def_135,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_136,type,
    sP0: ( tree_a > $o ) > $o ).

thf(func_def_137,type,
    sP1: ( tree_a > $o ) > $o ).

thf(func_def_138,type,
    sP2: ( tree_a > $o ) > $o ).

thf(func_def_139,type,
    sP3: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > $o ).

thf(func_def_140,type,
    sP4: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > $o ).

thf(func_def_141,type,
    sP5: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > $o ).

thf(func_def_142,type,
    sP6: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > $o ).

thf(func_def_143,type,
    sK7: produc981471411ee_a_a > tree_a ).

thf(func_def_144,type,
    sK8: produc981471411ee_a_a > a ).

thf(func_def_145,type,
    sK9: produc1127127335iset_a > multiset_a ).

thf(func_def_146,type,
    sK10: produc1127127335iset_a > multiset_a ).

thf(func_def_147,type,
    sK11: product_prod_a_a > a ).

thf(func_def_148,type,
    sK12: product_prod_a_a > a ).

thf(func_def_149,type,
    sK13: produc143150363Tree_a > a ).

thf(func_def_150,type,
    sK14: produc143150363Tree_a > tree_a ).

thf(func_def_151,type,
    sK15: ( produc981471411ee_a_a > $o ) > tree_a ).

thf(func_def_152,type,
    sK16: ( produc981471411ee_a_a > $o ) > a ).

thf(func_def_153,type,
    sK17: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_154,type,
    sK18: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_155,type,
    sK19: ( product_prod_a_a > $o ) > a ).

thf(func_def_156,type,
    sK20: ( product_prod_a_a > $o ) > a ).

thf(func_def_157,type,
    sK21: ( produc143150363Tree_a > $o ) > a ).

thf(func_def_158,type,
    sK22: ( produc143150363Tree_a > $o ) > tree_a ).

thf(func_def_159,type,
    sK23: produc981471411ee_a_a > tree_a ).

thf(func_def_160,type,
    sK24: produc981471411ee_a_a > a ).

thf(func_def_161,type,
    sK25: produc1127127335iset_a > multiset_a ).

thf(func_def_162,type,
    sK26: produc1127127335iset_a > multiset_a ).

thf(func_def_163,type,
    sK27: product_prod_a_a > a ).

thf(func_def_164,type,
    sK28: product_prod_a_a > a ).

thf(func_def_165,type,
    sK29: produc143150363Tree_a > a ).

thf(func_def_166,type,
    sK30: produc143150363Tree_a > tree_a ).

thf(func_def_167,type,
    sK31: ( produc981471411ee_a_a > $o ) > tree_a ).

thf(func_def_168,type,
    sK32: ( produc981471411ee_a_a > $o ) > a ).

thf(func_def_169,type,
    sK33: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_170,type,
    sK34: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_171,type,
    sK35: ( product_prod_a_a > $o ) > a ).

thf(func_def_172,type,
    sK36: ( product_prod_a_a > $o ) > a ).

thf(func_def_173,type,
    sK37: ( produc143150363Tree_a > $o ) > a ).

thf(func_def_174,type,
    sK38: ( produc143150363Tree_a > $o ) > tree_a ).

thf(func_def_175,type,
    sK39: tree_a > a ).

thf(func_def_176,type,
    sK40: tree_a > a ).

thf(func_def_177,type,
    sK41: tree_a > tree_a ).

thf(func_def_178,type,
    sK42: tree_a > tree_a ).

thf(func_def_179,type,
    sK43: tree_a > a ).

thf(func_def_180,type,
    sK44: tree_a > tree_a ).

thf(func_def_181,type,
    sK45: tree_a > tree_a ).

thf(func_def_182,type,
    sK46: tree_a > a ).

thf(func_def_183,type,
    sK47: tree_a > a ).

thf(func_def_184,type,
    sK48: tree_a > tree_a ).

thf(func_def_185,type,
    sK49: tree_a > tree_a ).

thf(func_def_186,type,
    sK50: tree_a > a ).

thf(func_def_187,type,
    sK51: tree_a > a ).

thf(func_def_188,type,
    sK52: tree_a > tree_a ).

thf(func_def_189,type,
    sK53: tree_a > tree_a ).

thf(func_def_190,type,
    sK54: tree_a > a ).

thf(func_def_191,type,
    sK55: tree_a > a ).

thf(func_def_192,type,
    sK56: tree_a > tree_a ).

thf(func_def_193,type,
    sK57: tree_a > tree_a ).

thf(func_def_194,type,
    sK58: ( tree_a > $o ) > a ).

thf(func_def_195,type,
    sK59: ( tree_a > $o ) > tree_a ).

thf(func_def_196,type,
    sK60: ( tree_a > $o ) > tree_a ).

thf(func_def_197,type,
    sK61: ( tree_a > $o ) > a ).

thf(func_def_198,type,
    sK62: ( tree_a > $o ) > a ).

thf(func_def_199,type,
    sK63: ( tree_a > $o ) > tree_a ).

thf(func_def_200,type,
    sK64: ( tree_a > $o ) > tree_a ).

thf(func_def_201,type,
    sK65: ( tree_a > $o ) > a ).

thf(func_def_202,type,
    sK66: ( tree_a > $o ) > tree_a ).

thf(func_def_203,type,
    sK67: ( tree_a > $o ) > tree_a ).

thf(func_def_204,type,
    sK68: ( tree_a > $o ) > a ).

thf(func_def_205,type,
    sK69: ( tree_a > $o ) > a ).

thf(func_def_206,type,
    sK70: ( tree_a > $o ) > tree_a ).

thf(func_def_207,type,
    sK71: ( tree_a > $o ) > tree_a ).

thf(func_def_208,type,
    sK72: ( tree_a > $o ) > a ).

thf(func_def_209,type,
    sK73: ( tree_a > $o ) > a ).

thf(func_def_210,type,
    sK74: ( tree_a > $o ) > tree_a ).

thf(func_def_211,type,
    sK75: ( tree_a > $o ) > tree_a ).

thf(func_def_212,type,
    sK76: ( tree_a > $o ) > a ).

thf(func_def_213,type,
    sK77: ( tree_a > $o ) > a ).

thf(func_def_214,type,
    sK78: ( tree_a > $o ) > tree_a ).

thf(func_def_215,type,
    sK79: ( tree_a > $o ) > tree_a ).

thf(func_def_216,type,
    sK80: ( tree_a > $o ) > a ).

thf(func_def_217,type,
    sK81: ( tree_a > $o ) > tree_a ).

thf(func_def_218,type,
    sK82: ( tree_a > $o ) > tree_a ).

thf(func_def_219,type,
    sK83: ( tree_a > $o ) > a ).

thf(func_def_220,type,
    sK84: tree_a > a ).

thf(func_def_221,type,
    sK85: tree_a > a ).

thf(func_def_222,type,
    sK86: tree_a > tree_a ).

thf(func_def_223,type,
    sK87: tree_a > tree_a ).

thf(func_def_224,type,
    sK88: tree_a > a ).

thf(func_def_225,type,
    sK89: tree_a > tree_a ).

thf(func_def_226,type,
    sK90: tree_a > tree_a ).

thf(func_def_227,type,
    sK91: tree_a > a ).

thf(func_def_228,type,
    sK92: tree_a > a ).

thf(func_def_229,type,
    sK93: tree_a > tree_a ).

thf(func_def_230,type,
    sK94: tree_a > tree_a ).

thf(func_def_231,type,
    sK95: tree_a > a ).

thf(func_def_232,type,
    sK96: tree_a > tree_a ).

thf(func_def_233,type,
    sK97: tree_a > tree_a ).

thf(func_def_234,type,
    sK98: tree_a > a ).

thf(func_def_235,type,
    sK99: tree_a > a ).

thf(func_def_236,type,
    sK100: tree_a > tree_a ).

thf(func_def_237,type,
    sK101: tree_a > tree_a ).

thf(func_def_238,type,
    sK102: tree_a > a ).

thf(func_def_239,type,
    sK103: tree_a > a ).

thf(func_def_240,type,
    sK104: tree_a > tree_a ).

thf(func_def_241,type,
    sK105: tree_a > tree_a ).

thf(func_def_242,type,
    sK106: tree_a > a ).

thf(func_def_243,type,
    sK107: tree_a > a ).

thf(func_def_244,type,
    sK108: tree_a > a ).

thf(func_def_245,type,
    sK109: tree_a > tree_a ).

thf(func_def_246,type,
    sK110: tree_a > tree_a ).

thf(func_def_247,type,
    sK111: tree_a > a ).

thf(func_def_248,type,
    sK112: tree_a > tree_a ).

thf(func_def_249,type,
    sK113: tree_a > tree_a ).

thf(func_def_250,type,
    sK114: tree_a > a ).

thf(func_def_251,type,
    sK115: tree_a > a ).

thf(func_def_252,type,
    sK116: tree_a > tree_a ).

thf(func_def_253,type,
    sK117: tree_a > tree_a ).

thf(func_def_254,type,
    sK118: tree_a > a ).

thf(func_def_255,type,
    sK119: tree_a > a ).

thf(func_def_256,type,
    sK120: tree_a > tree_a ).

thf(func_def_257,type,
    sK121: tree_a > tree_a ).

thf(func_def_258,type,
    sK122: tree_a > a ).

thf(func_def_259,type,
    sK123: multiset_a > multiset_a ).

thf(func_def_260,type,
    sK124: multiset_a > a ).

thf(func_def_261,type,
    sK125: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_262,type,
    sK126: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_263,type,
    sK127: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_264,type,
    sK128: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_265,type,
    sK129: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_266,type,
    sK130: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_267,type,
    sK131: ( multiset_a > $o ) > a ).

thf(func_def_268,type,
    sK132: ( multiset_a > $o ) > multiset_a ).

thf(func_def_269,type,
    sK133: multiset_a > a ).

thf(func_def_270,type,
    sK134: multiset_a > multiset_a ).

thf(func_def_271,type,
    sK135: ( a > tree_a > $o ) > tree_a ).

thf(func_def_272,type,
    sK136: ( a > tree_a > $o ) > a ).

thf(func_def_273,type,
    sK137: ( tree_a > a > $o ) > a ).

thf(func_def_274,type,
    sK138: ( tree_a > a > $o ) > tree_a ).

thf(func_def_275,type,
    sK139: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).

thf(func_def_276,type,
    sK140: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).

thf(func_def_277,type,
    sK141: ( a > $o ) > ( a > product_prod_a_a ) > ( a > multiset_a ) > a ).

thf(func_def_278,type,
    sK142: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_279,type,
    sK143: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_280,type,
    sK144: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_281,type,
    sK145: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).

thf(func_def_282,type,
    sK146: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).

thf(func_def_283,type,
    sK147: ( a > product_prod_a_a ) > ( a > $o ) > ( a > tree_a ) > a ).

thf(func_def_284,type,
    sK148: ( a > $o ) > ( a > tree_a ) > a ).

thf(func_def_285,type,
    sK149: ( list_a > a ) > ( a > tree_a ) > list_a ).

thf(func_def_286,type,
    sK150: ( a > tree_a ) > ( a > multiset_a ) > a ).

thf(func_def_287,type,
    sK151: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > tree_a ).

thf(func_def_288,type,
    sK152: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > a ).

thf(func_def_289,type,
    sK153: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > tree_a ).

thf(func_def_290,type,
    sK154: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_291,type,
    sK155: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_292,type,
    sK156: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_293,type,
    sK157: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_294,type,
    sK158: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > a ).

thf(func_def_295,type,
    sK159: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_296,type,
    sK160: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_297,type,
    sK161: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_298,type,
    sK162: ( tree_a > tree_a ) > ( tree_a > multiset_a ) > tree_a ).

thf(func_def_299,type,
    sK163: a > tree_a > tree_a ).

thf(func_def_300,type,
    sK164: a > tree_a > a ).

thf(func_def_301,type,
    sK165: a > tree_a > tree_a ).

thf(func_def_302,type,
    sK166: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > tree_a ).

thf(func_def_303,type,
    sK167: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > a ).

thf(func_def_304,type,
    sK168: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).

thf(func_def_305,type,
    sK169: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).

thf(func_def_306,type,
    sK170: set_Product_prod_a_a > set_Product_prod_a_a > a ).

thf(func_def_307,type,
    sK171: set_Product_prod_a_a > set_Product_prod_a_a > a ).

thf(func_def_308,type,
    sK172: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > a ).

thf(func_def_309,type,
    sK173: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > tree_a ).

thf(func_def_310,type,
    sK174: multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a ).

thf(func_def_311,type,
    sK175: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a ).

thf(func_def_312,type,
    sK176: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).

thf(func_def_313,type,
    sK177: multiset_multiset_a > multiset_a > multiset_multiset_a ).

thf(func_def_314,type,
    sK178: multiset_a > a > multiset_a ).

thf(func_def_315,type,
    sK179: multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a ).

thf(func_def_316,type,
    sK180: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a ).

thf(func_def_317,type,
    sK181: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).

thf(func_def_318,type,
    sK182: multiset_multiset_a > multiset_a > multiset_multiset_a ).

thf(func_def_319,type,
    sK183: multiset_a > a > multiset_a ).

thf(func_def_320,type,
    sK184: multis2082063201Tree_a > produc143150363Tree_a ).

thf(func_def_321,type,
    sK185: multis782275565iset_a > produc1127127335iset_a ).

thf(func_def_322,type,
    sK186: multis599418605od_a_a > product_prod_a_a ).

thf(func_def_323,type,
    sK187: multiset_multiset_a > multiset_a ).

thf(func_def_324,type,
    sK188: multiset_a > a ).

thf(func_def_325,type,
    sK189: ( a > $o ) > ( a > $o ) > set_a > a ).

thf(func_def_326,type,
    sK190: ( produc1127127335iset_a > $o ) > ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a > produc1127127335iset_a ).

thf(func_def_327,type,
    sK191: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > set_Product_prod_a_a > product_prod_a_a ).

thf(func_def_328,type,
    sK192: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a > produc143150363Tree_a ).

thf(func_def_329,type,
    sK193: ( multiset_a > $o ) > a ).

thf(func_def_330,type,
    sK194: ( multiset_a > $o ) > multiset_a ).

thf(func_def_331,type,
    sK195: ( multiset_a > $o ) > a ).

thf(func_def_332,type,
    sK196: ( multiset_a > $o ) > multiset_a ).

thf(func_def_333,type,
    sK197: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_334,type,
    sK198: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_335,type,
    sK199: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_336,type,
    sK200: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_337,type,
    sK201: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_338,type,
    sK202: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_339,type,
    sK203: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_340,type,
    sK204: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_341,type,
    sK205: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).

thf(func_def_342,type,
    sK206: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).

thf(func_def_343,type,
    sK207: set_Pr220561863Tree_a > multis2082063201Tree_a > produc143150363Tree_a > produc143150363Tree_a ).

thf(func_def_344,type,
    sK208: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > produc1127127335iset_a ).

thf(func_def_345,type,
    sK209: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > product_prod_a_a ).

thf(func_def_346,type,
    sK210: set_Pr158363655iset_a > multiset_multiset_a > multiset_a > multiset_a ).

thf(func_def_347,type,
    sK211: set_Product_prod_a_a > multiset_a > a > a ).

thf(func_def_348,type,
    sK212: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > produc143150363Tree_a ).

thf(func_def_349,type,
    sK213: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_350,type,
    sK214: set_Pr220561863Tree_a > multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_351,type,
    sK215: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > produc1127127335iset_a ).

thf(func_def_352,type,
    sK216: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_353,type,
    sK217: set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_354,type,
    sK218: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a ).

thf(func_def_355,type,
    sK219: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_356,type,
    sK220: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_357,type,
    sK221: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_358,type,
    sK222: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_359,type,
    sK223: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_360,type,
    sK224: set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_361,type,
    sK225: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_362,type,
    sK226: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_363,type,
    sK227: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_364,type,
    sK228: set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_365,type,
    sK229: multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).

thf(func_def_366,type,
    sK230: multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).

thf(func_def_367,type,
    sK231: multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).

thf(func_def_368,type,
    sK232: multiset_a > multiset_multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_a ).

thf(func_def_369,type,
    sK233: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_370,type,
    sK234: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_371,type,
    sK235: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_372,type,
    sK236: a > multiset_a > multiset_a > set_Product_prod_a_a > a ).

thf(func_def_373,type,
    sK237: set_Product_prod_a_a > a ).

thf(func_def_374,type,
    sK238: set_Product_prod_a_a > a ).

thf(func_def_375,type,
    sK239: set_Product_prod_a_a > a ).

thf(func_def_376,type,
    sF240: tree_a ).

thf(func_def_377,type,
    sF241: produc143150363Tree_a ).

thf(func_def_378,type,
    sF242: a ).

thf(func_def_379,type,
    sK243: multiset_multiset_a > multiset_a ).

thf(func_def_380,type,
    sK244: set_Pr1070816379Tree_a > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).

thf(func_def_381,type,
    sK245: set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).

thf(func_def_382,type,
    sK246: set_Pr158363655iset_a > ( produc1127127335iset_a > $o ) > produc1127127335iset_a ).

thf(func_def_383,type,
    sK247: set_a > ( a > $o ) > a ).

thf(func_def_384,type,
    sK248: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_385,type,
    sK249: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_386,type,
    sK250: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_387,type,
    sK251: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_388,type,
    sK252: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_389,type,
    sK253: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_390,type,
    sK254: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_391,type,
    sK255: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_392,type,
    sK256: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_393,type,
    sK257: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_394,type,
    sK258: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_395,type,
    sK259: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_396,type,
    sK260: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_397,type,
    sK261: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_398,type,
    sK262: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_399,type,
    sK263: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_400,type,
    sK264: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_401,type,
    sK265: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_402,type,
    sK266: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_403,type,
    sK267: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_404,type,
    sK268: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_405,type,
    sK269: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_406,type,
    sK270: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_407,type,
    sK271: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_408,type,
    sK272: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_409,type,
    sK273: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_410,type,
    sK274: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_411,type,
    sK275: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_412,type,
    sK276: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_413,type,
    sK277: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_414,type,
    sK278: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_415,type,
    sK279: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_416,type,
    sK280: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_417,type,
    sK281: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_418,type,
    sK282: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_419,type,
    sK283: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_420,type,
    sK284: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_421,type,
    sK285: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_422,type,
    sK286: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_423,type,
    sK287: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_424,type,
    sK288: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_425,type,
    sK289: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_426,type,
    sK290: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_427,type,
    sK291: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_428,type,
    sK292: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_429,type,
    sK293: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_430,type,
    sK294: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_431,type,
    sK295: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_432,type,
    sK296: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_433,type,
    sK297: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_434,type,
    sK298: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_435,type,
    sK299: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_436,type,
    sK300: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_437,type,
    sK301: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_438,type,
    sK302: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_439,type,
    sK303: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_440,type,
    sK304: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_441,type,
    sK305: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_442,type,
    sK306: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_443,type,
    sK307: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_444,type,
    sK308: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_445,type,
    sK309: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_446,type,
    sK310: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_447,type,
    sK311: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_448,type,
    sK312: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_449,type,
    sK313: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_450,type,
    sK314: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_451,type,
    sK315: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_452,type,
    sK316: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_453,type,
    sK317: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_454,type,
    sK318: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_455,type,
    sK319: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_456,type,
    sK320: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_457,type,
    sK321: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_458,type,
    sK322: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_459,type,
    sK323: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_460,type,
    sK324: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_461,type,
    sK325: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_462,type,
    sK326: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_463,type,
    sK327: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_464,type,
    sK328: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_465,type,
    sK329: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_466,type,
    sK330: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_467,type,
    sK331: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_468,type,
    sK332: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_469,type,
    sK333: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_470,type,
    sK334: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_471,type,
    sK335: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_472,type,
    sK336: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_473,type,
    sK337: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_474,type,
    sK338: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_475,type,
    sK339: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_476,type,
    sK340: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_477,type,
    sK341: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_478,type,
    sK342: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_479,type,
    sK343: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_480,type,
    sK344: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_481,type,
    sK345: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_482,type,
    sK346: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_483,type,
    sK347: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_484,type,
    sK348: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_485,type,
    sK349: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_486,type,
    sK350: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_487,type,
    sK351: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_488,type,
    sK352: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_489,type,
    sK353: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_490,type,
    sK354: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_491,type,
    sK355: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_492,type,
    sK356: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_493,type,
    sK357: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_494,type,
    sK358: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_495,type,
    sK359: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_496,type,
    sK360: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_497,type,
    sK361: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_498,type,
    sK362: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_499,type,
    sK363: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_500,type,
    sK364: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_501,type,
    sK365: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_502,type,
    sK366: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_503,type,
    sK367: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_504,type,
    sK368: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_505,type,
    sK369: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_506,type,
    sK370: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_507,type,
    sK371: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_508,type,
    sK372: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_509,type,
    sK373: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_510,type,
    sK374: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_511,type,
    sK375: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_512,type,
    sK376: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_513,type,
    sK377: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_514,type,
    sK378: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_515,type,
    sK379: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_516,type,
    sK380: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_517,type,
    sK381: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_518,type,
    sK382: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_519,type,
    sK383: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_520,type,
    sK384: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_521,type,
    sK385: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_522,type,
    sK386: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_523,type,
    sK387: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_524,type,
    sK388: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_525,type,
    sK389: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_526,type,
    sK390: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_527,type,
    sK391: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_528,type,
    sK392: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_529,type,
    sK393: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_530,type,
    sK394: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_531,type,
    sK395: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_532,type,
    sK396: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_533,type,
    sK397: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_534,type,
    sK398: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_535,type,
    sK399: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_536,type,
    sK400: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_537,type,
    sK401: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_538,type,
    sK402: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_539,type,
    sK403: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_540,type,
    sK404: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_541,type,
    sK405: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_542,type,
    sK406: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_543,type,
    sK407: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_544,type,
    sK408: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_545,type,
    sK409: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_546,type,
    sK410: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_547,type,
    sK411: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_548,type,
    sK412: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_549,type,
    sK413: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_550,type,
    sK414: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_551,type,
    sK415: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_552,type,
    sK416: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_553,type,
    sK417: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_554,type,
    sK418: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_555,type,
    sK419: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_556,type,
    sK420: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_557,type,
    sK421: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_558,type,
    sK422: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_559,type,
    sK423: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_560,type,
    sK424: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_561,type,
    sK425: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_562,type,
    sK426: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_563,type,
    sK427: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_564,type,
    sK428: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_565,type,
    sK429: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_566,type,
    sK430: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_567,type,
    sK431: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_568,type,
    sK432: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_569,type,
    sK433: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_570,type,
    sK434: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_571,type,
    sK435: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_572,type,
    sK436: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_573,type,
    sK437: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_574,type,
    sK438: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_575,type,
    sK439: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_576,type,
    sK440: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_577,type,
    sK441: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_578,type,
    sK442: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_579,type,
    sK443: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_580,type,
    sK444: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_581,type,
    sK445: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_582,type,
    sK446: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_583,type,
    sK447: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_584,type,
    sK448: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_585,type,
    sK449: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_586,type,
    sK450: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_587,type,
    sK451: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_588,type,
    sK452: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_589,type,
    sK453: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_590,type,
    sK454: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_591,type,
    sK455: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_592,type,
    sK456: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_593,type,
    sK457: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_594,type,
    sK458: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_595,type,
    sK459: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_596,type,
    sK460: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_597,type,
    sK461: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_598,type,
    sK462: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_599,type,
    sK463: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_600,type,
    sK464: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_601,type,
    sK465: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_602,type,
    sK466: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_603,type,
    sK467: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_604,type,
    sK468: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_605,type,
    sK469: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_606,type,
    sK470: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_607,type,
    sK471: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_608,type,
    sK472: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_609,type,
    sK473: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_610,type,
    sK474: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_611,type,
    sK475: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_612,type,
    sK476: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_613,type,
    sK477: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_614,type,
    sK478: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_615,type,
    sK479: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_616,type,
    sK480: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_617,type,
    sK481: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_618,type,
    sK482: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_619,type,
    sK483: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_620,type,
    sK484: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_621,type,
    sK485: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_622,type,
    sK486: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_623,type,
    sK487: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_624,type,
    sK488: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_625,type,
    sK489: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_626,type,
    sK490: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_627,type,
    sK491: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_628,type,
    sK492: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_629,type,
    sK493: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_630,type,
    sK494: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_631,type,
    sK495: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_632,type,
    sK496: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_633,type,
    sK497: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_634,type,
    sK498: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_635,type,
    sK499: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_636,type,
    sK500: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_637,type,
    sK501: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_638,type,
    sK502: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_639,type,
    sK503: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_640,type,
    sK504: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_641,type,
    sK505: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_642,type,
    sK506: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_643,type,
    sK507: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_644,type,
    sK508: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_645,type,
    sK509: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_646,type,
    sK510: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_647,type,
    sK511: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_648,type,
    sK512: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_649,type,
    sK513: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_650,type,
    sK514: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_651,type,
    sK515: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_652,type,
    sK516: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_653,type,
    sK517: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_654,type,
    sK518: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_655,type,
    sK519: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_656,type,
    sK520: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_657,type,
    sK521: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_658,type,
    sK522: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_659,type,
    sK523: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_660,type,
    sK524: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_661,type,
    sK525: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_662,type,
    sK526: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_663,type,
    sK527: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_664,type,
    sK528: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_665,type,
    sK529: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_666,type,
    sK530: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_667,type,
    sK531: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_668,type,
    sK532: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_669,type,
    sK533: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_670,type,
    sK534: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_671,type,
    sK535: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_672,type,
    sK536: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_673,type,
    sK537: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_674,type,
    sK538: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_675,type,
    sK539: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_676,type,
    sK540: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_677,type,
    sK541: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_678,type,
    sK542: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_679,type,
    sK543: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_680,type,
    sK544: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_681,type,
    sK545: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_682,type,
    sK546: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_683,type,
    sK547: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_684,type,
    sK548: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_685,type,
    sK549: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_686,type,
    sK550: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_687,type,
    sK551: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_688,type,
    sK552: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_689,type,
    sK553: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_690,type,
    sK554: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_691,type,
    sK555: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_692,type,
    sK556: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_693,type,
    sK557: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_694,type,
    sK558: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_695,type,
    sK559: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_696,type,
    sK560: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_697,type,
    sK561: ( list_a > tree_a ) > ( tree_a > tree_a ) > list_a ).

thf(func_def_698,type,
    sK562: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_699,type,
    sK563: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_700,type,
    sK564: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_701,type,
    sK565: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_702,type,
    sK566: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_703,type,
    sK567: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_704,type,
    sK568: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_705,type,
    sK569: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_706,type,
    sK570: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_707,type,
    sK571: ( tree_a > multiset_a ) > ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_708,type,
    sK572: produc143150363Tree_a > a > tree_a ).

thf(func_def_709,type,
    sK573: produc981471411ee_a_a > tree_a > a ).

thf(func_def_710,type,
    sK574: product_prod_a_a > a > a ).

thf(func_def_711,type,
    sK575: produc1127127335iset_a > multiset_a > multiset_a ).

thf(func_def_712,type,
    sK576: produc143150363Tree_a > tree_a > a ).

thf(func_def_713,type,
    sK577: produc981471411ee_a_a > a > tree_a ).

thf(func_def_714,type,
    sK578: product_prod_a_a > a > a ).

thf(func_def_715,type,
    sK579: produc1127127335iset_a > multiset_a > multiset_a ).

thf(func_def_716,type,
    sK580: multiset_a > multiset_a > a > a > multiset_a ).

thf(f1,axiom,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C4__2_Oprems_C_I1_J) ).

thf(f4,axiom,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062) ).

thf(f7,axiom,
    ! [X0: a,X1: a,X2: tree_a,X3: tree_a,X4: a,X5: tree_a,X6: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X0 @ ( t_a @ X1 @ X2 @ X3 ) @ ( t_a @ X4 @ X5 @ X6 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X0 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X4 @ X5 @ X6 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_removeLeaf_Osimps_I4_J) ).

thf(f9,axiom,
    ! [X0: a,X1: tree_a,X2: tree_a] :
      ( ( heapIm1257206334ight_a @ ( t_a @ X0 @ X1 @ X2 ) )
      = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_right_Osimps) ).

thf(f23,axiom,
    ! [X0: a,X1: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
      = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_fst__conv) ).

thf(f357,conjecture,
    ( v_a
    = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f358,negated_conjecture,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f357]) ).

thf(f799,plain,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(flattening,[],[f358]) ).

thf(f1162,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1165,plain,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f1168,plain,
    ! [X2: tree_a,X3: tree_a,X0: a,X1: a,X6: tree_a,X4: a,X5: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X0 @ ( t_a @ X1 @ X2 @ X3 ) @ ( t_a @ X4 @ X5 @ X6 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X0 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X4 @ X5 @ X6 ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f1170,plain,
    ! [X2: tree_a,X0: a,X1: tree_a] :
      ( ( heapIm1257206334ight_a @ ( t_a @ X0 @ X1 @ X2 ) )
      = X2 ),
    inference(cnf_transformation,[],[f9]) ).

thf(f1184,plain,
    ! [X0: a,X1: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
      = X0 ),
    inference(cnf_transformation,[],[f23]) ).

thf(f1628,plain,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(cnf_transformation,[],[f799]) ).

thf(f1717,definition,
    ( sF240
    = ( t_a @ v1 @ l1 @ r1 ) ),
    introduced(definition,[new_symbols(definition,[sF240])],[function_definition]) ).

thf(f1718,plain,
    ( ( t_a @ v1 @ l1 @ r1 )
    = sF240 ),
    inference(reorient_equations,[],[f1717]) ).

thf(f1719,definition,
    ( sF241
    = ( heapIm837449470Leaf_a @ sF240 ) ),
    introduced(definition,[new_symbols(definition,[sF241])],[function_definition]) ).

thf(f1720,plain,
    ( ( heapIm837449470Leaf_a @ sF240 )
    = sF241 ),
    inference(reorient_equations,[],[f1719]) ).

thf(f1721,definition,
    ( sF242
    = ( product_fst_a_Tree_a @ sF241 ) ),
    introduced(definition,[new_symbols(definition,[sF242])],[function_definition]) ).

thf(f1722,plain,
    ( ( product_fst_a_Tree_a @ sF241 )
    = sF242 ),
    inference(reorient_equations,[],[f1721]) ).

thf(f1723,plain,
    v_a != sF242,
    inference(definition_folding,[],[f1628,f1722,f1720,f1718]) ).

thf(f19602,plain,
    ( ( t_a @ v2 @ l2 @ r2 )
    = ( heapIm1257206334ight_a @ t_a2 ) ),
    inference(constrained_superposition,[],[f1170,f1165]) ).

thf(f20625,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    inference(constrained_superposition,[],[f1162,f1718]) ).

thf(f20632,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( heapIm1257206334ight_a @ t_a2 ) ) ) ),
    inference(forward_demodulation,[],[f20625,f19602]) ).

thf(f29220,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
    = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ t_a2 ) ),
    inference(constrained_superposition,[],[f1168,f1165]) ).

thf(f29267,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( t_a @ v2 @ l2 @ r2 ) ) )
    = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ sF240 ) ) @ t_a2 ) ),
    inference(forward_demodulation,[],[f29220,f1718]) ).

thf(f29271,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( t_a @ v2 @ l2 @ r2 ) ) )
    = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ sF241 ) @ t_a2 ) ),
    inference(forward_demodulation,[],[f29267,f1720]) ).

thf(f29273,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( t_a @ v2 @ l2 @ r2 ) ) )
    = ( produc686083979Tree_a @ sF242 @ t_a2 ) ),
    inference(forward_demodulation,[],[f29271,f1722]) ).

thf(f29275,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ sF240 @ ( heapIm1257206334ight_a @ t_a2 ) ) )
    = ( produc686083979Tree_a @ sF242 @ t_a2 ) ),
    inference(forward_demodulation,[],[f29273,f19602]) ).

thf(f29276,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( produc686083979Tree_a @ sF242 @ t_a2 ) ),
    inference(forward_demodulation,[],[f29275,f20632]) ).

thf(f30496,plain,
    ( sF242
    = ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ v_a @ t_a2 ) ) ),
    inference(constrained_superposition,[],[f1184,f29276]) ).

thf(f30512,plain,
    v_a = sF242,
    inference(forward_demodulation,[],[f30496,f1184]) ).

thf(f30513,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30512,f1723]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP066^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n006.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 19:45:40 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25  Running first-order model finding
% 0.08/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.01/1.02  % (1219293)Will run a generic schedule for satisfiability detection.
% 4.01/1.02  % (1219303)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3656900647:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.01/1.02  % (1219300)% WARNING: option uhcvi not known.
% 4.01/1.02  % (1219299)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1802594257_2999 on theBenchmark for (2999ds/0Mi)
% 4.01/1.02  % (1219300)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1078120572:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.01/1.02  % (1219301)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3401300706:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.01/1.02  % (1219304)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2766173167:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.01/1.02  % (1219302)dis+10_1_sil=32000:sp=arity:random_seed=649586251:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.01/1.02  % (1219305)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=746537642:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.01/1.02  % (1219303)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.01/1.02  % (1219303)Instruction limit reached! 
% 4.01/1.02  % (1219303)------------------------------
% 4.01/1.02  % (1219303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.02  % (1219303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.02  % (1219303)CaDiCaL version: 2.1.3
% 4.01/1.02  % (1219303)Termination reason: Instruction limit
% 4.01/1.02  % (1219303)Termination phase: Property scanning
% 4.01/1.02  % (1219303)Time elapsed: 0.026 s
% 4.01/1.02  % (1219303)Peak memory usage: 11 MB
% 4.01/1.02  % (1219303)Instructions burned: 120 (million)
% 4.01/1.02  % (1219300)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.01/1.02  % (1219313)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4017088884:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.01/1.02  % (1219302)Instruction limit reached! 
% 4.01/1.02  % (1219302)------------------------------
% 4.01/1.02  % (1219302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.02  % (1219302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.02  % (1219302)CaDiCaL version: 2.1.3
% 4.01/1.02  % (1219302)Termination reason: Instruction limit
% 4.01/1.02  % (1219302)Termination phase: Property scanning
% 4.01/1.02  % (1219302)Time elapsed: 0.043 s
% 4.01/1.02  % (1219302)Peak memory usage: 12 MB
% 4.01/1.02  % (1219302)Instructions burned: 104 (million)
% 4.01/1.02  % (1219304)Instruction limit reached! 
% 4.01/1.02  % (1219304)------------------------------
% 4.01/1.02  % (1219304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.02  % (1219304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.02  % (1219304)CaDiCaL version: 2.1.3
% 4.01/1.02  % (1219304)Termination reason: Instruction limit
% 4.01/1.02  % (1219304)Termination phase: Property scanning
% 4.01/1.02  % (1219304)Time elapsed: 0.054 s
% 4.01/1.02  % (1219304)Peak memory usage: 11 MB
% 4.01/1.02  % (1219304)Instructions burned: 133 (million)
% 4.01/1.02  % Exception at run slice level
% 4.01/1.02  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.01/1.02  % (1219300)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.01/1.02  % Exception at run slice level
% 4.01/1.02  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.01/1.02  % (1219315)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=907171252:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.01/1.02  % (1219305)Instruction limit reached! 
% 4.01/1.02  % (1219305)------------------------------
% 4.01/1.02  % (1219305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.02  % (1219305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.02  % (1219305)CaDiCaL version: 2.1.3
% 4.01/1.02  % (1219305)Termination reason: Instruction limit
% 4.01/1.02  % (1219305)Termination phase: Saturation
% 4.01/1.02  % (1219305)Time elapsed: 0.065 s
% 4.01/1.02  % (1219305)Peak memory usage: 13 MB
% 4.01/1.02  % (1219305)Instructions burned: 159 (million)
% 4.01/1.02  % (1219319)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3625318655:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.68/2.65  % (1219316)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=2742383852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.68/2.65  % (1219317)ott-21_1_sil=16000:fs=off:random_seed=2559457532:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.68/2.65  % (1219322)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2911623856:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.68/2.65  % (1219316)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.68/2.65  % (1219315)Instruction limit reached! 
% 15.68/2.65  % (1219315)------------------------------
% 15.68/2.65  % (1219315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.65  % (1219315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.65  % (1219315)CaDiCaL version: 2.1.3
% 15.68/2.65  % (1219315)Termination reason: Instruction limit
% 15.68/2.65  % (1219315)Termination phase: Property scanning
% 15.68/2.65  % (1219315)Time elapsed: 0.055 s
% 15.68/2.65  % (1219315)Peak memory usage: 12 MB
% 15.68/2.65  % (1219315)Instructions burned: 133 (million)
% 15.68/2.65  % (1219316)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.68/2.65  % (1219345)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4126487051:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.68/2.65  % Exception at run slice level
% 15.68/2.65  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.68/2.65  % (1219317)Instruction limit reached! 
% 15.68/2.65  % (1219317)------------------------------
% 15.68/2.65  % (1219317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.65  % (1219317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.65  % (1219317)CaDiCaL version: 2.1.3
% 15.68/2.65  % (1219317)Termination reason: Instruction limit
% 15.68/2.65  % (1219317)Termination phase: Saturation
% 15.68/2.65  % (1219317)Time elapsed: 0.074 s
% 15.68/2.65  % (1219317)Peak memory usage: 13 MB
% 15.68/2.65  % (1219317)Instructions burned: 181 (million)
% 15.68/2.65  % (1219355)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=794717653:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.68/2.65  % (1219363)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=4250635140: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)
% 15.68/2.65  % (1219319)Instruction limit reached! 
% 15.68/2.65  % (1219319)------------------------------
% 15.68/2.65  % (1219319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.65  % (1219319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.65  % (1219319)CaDiCaL version: 2.1.3
% 15.68/2.65  % (1219319)Termination reason: Instruction limit
% 15.68/2.65  % (1219319)Termination phase: Saturation
% 15.68/2.65  % (1219319)Time elapsed: 0.108 s
% 15.68/2.65  % (1219319)Peak memory usage: 16 MB
% 15.68/2.65  % (1219319)Instructions burned: 478 (million)
% 15.68/2.65  % (1219370)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1370262793:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 15.68/2.65  % (1219363)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.68/2.65  % (1219370)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.68/2.65  % Exception at run slice level
% 15.68/2.65  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.68/2.65  % (1219383)fmb+10_1_sil=64000:random_seed=1049935698:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 15.68/2.65  % (1219383)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.68/2.65  % Exception at run slice level
% 15.68/2.65  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.68/2.65  % (1219407)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1931997297:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.68/2.65  % (1219316)Instruction limit reached! 
% 15.68/2.65  % (1219316)------------------------------
% 15.68/2.65  % (1219316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219316)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219316)Termination reason: Instruction limit
% 20.30/3.15  % (1219316)Termination phase: Saturation
% 20.30/3.15  % (1219316)Time elapsed: 0.295 s
% 20.30/3.15  % (1219316)Peak memory usage: 17 MB
% 20.30/3.15  % (1219316)Instructions burned: 684 (million)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219418)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3649787916:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 20.30/3.15  % (1219419)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=473039879:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 20.30/3.15  % (1219370)Instruction limit reached! 
% 20.30/3.15  % (1219370)------------------------------
% 20.30/3.15  % (1219370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219370)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219370)Termination reason: Instruction limit
% 20.30/3.15  % (1219370)Termination phase: Saturation
% 20.30/3.15  % (1219370)Time elapsed: 0.202 s
% 20.30/3.15  % (1219370)Peak memory usage: 18 MB
% 20.30/3.15  % (1219370)Instructions burned: 882 (million)
% 20.30/3.15  % (1219428)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1988374028:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 20.30/3.15  % (1219419)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.30/3.15  % (1219428)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.30/3.15  % (1219428)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219437)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3335055889:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 20.30/3.15  % (1219363)Instruction limit reached! 
% 20.30/3.15  % (1219363)------------------------------
% 20.30/3.15  % (1219363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219363)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219363)Termination reason: Instruction limit
% 20.30/3.15  % (1219363)Termination phase: Saturation
% 20.30/3.15  % (1219363)Time elapsed: 0.301 s
% 20.30/3.15  % (1219363)Peak memory usage: 19 MB
% 20.30/3.15  % (1219363)Instructions burned: 692 (million)
% 20.30/3.15  % (1219444)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3914548386:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219452)ott-2_1_sil=16000:newcnf=on:random_seed=2825045735:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219452)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.30/3.15  % (1219454)ott+10_1_sil=32000:tgt=ground:random_seed=4038966753:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 20.30/3.15  % (1219345)Instruction limit reached! 
% 20.30/3.15  % (1219345)------------------------------
% 20.30/3.15  % (1219345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219345)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219345)Termination reason: Instruction limit
% 20.30/3.15  % (1219345)Termination phase: Saturation
% 20.30/3.15  % (1219345)Time elapsed: 0.496 s
% 20.30/3.15  % (1219345)Peak memory usage: 23 MB
% 20.30/3.15  % (1219345)Instructions burned: 1181 (million)
% 20.30/3.15  % (1219464)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=431502747:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219501)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=146465564:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 20.30/3.15  % (1219501)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.30/3.15  % (1219428)Instruction limit reached! 
% 20.30/3.15  % (1219428)------------------------------
% 20.30/3.15  % (1219428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219428)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219428)Termination reason: Instruction limit
% 20.30/3.15  % (1219428)Termination phase: Saturation
% 20.30/3.15  % (1219428)Time elapsed: 0.411 s
% 20.30/3.15  % (1219428)Peak memory usage: 23 MB
% 20.30/3.15  % (1219428)Instructions burned: 1474 (million)
% 20.30/3.15  % (1219507)dis+21_1_sil=32000:sas=cadical:random_seed=3098482046:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 20.30/3.15  % (1219452)Instruction limit reached! 
% 20.30/3.15  % (1219452)------------------------------
% 20.30/3.15  % (1219452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219452)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219452)Termination reason: Instruction limit
% 20.30/3.15  % (1219452)Termination phase: Saturation
% 20.30/3.15  % (1219452)Time elapsed: 0.360 s
% 20.30/3.15  % (1219452)Peak memory usage: 20 MB
% 20.30/3.15  % (1219452)Instructions burned: 869 (million)
% 20.30/3.15  % (1219509)ott+11_1_sil=16000:gs=on:random_seed=1800579704:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 20.30/3.15  % (1219509)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.30/3.15  % (1219507)Instruction limit reached! 
% 20.30/3.15  % (1219507)------------------------------
% 20.30/3.15  % (1219507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219507)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219507)Termination reason: Instruction limit
% 20.30/3.15  % (1219507)Termination phase: Saturation
% 20.30/3.15  % (1219507)Time elapsed: 0.917 s
% 20.30/3.15  % (1219507)Peak memory usage: 35 MB
% 20.30/3.15  % (1219507)Instructions burned: 3773 (million)
% 20.30/3.15  % (1219512)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1826140347:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219514)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2371670361:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 20.30/3.15  % (1219509)Instruction limit reached! 
% 20.30/3.15  % (1219509)------------------------------
% 20.30/3.15  % (1219509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219509)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219509)Termination reason: Instruction limit
% 20.30/3.15  % (1219509)Termination phase: Saturation
% 20.30/3.15  % (1219509)Time elapsed: 0.988 s
% 20.30/3.15  % (1219509)Peak memory usage: 23 MB
% 20.30/3.15  % (1219509)Instructions burned: 2252 (million)
% 20.30/3.15  % (1219516)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4273469841:i=29340_2980 on theBenchmark for (2980ds/29340Mi)
% 20.30/3.15  % (1219501)Instruction limit reached! 
% 20.30/3.15  % (1219501)------------------------------
% 20.30/3.15  % (1219501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219501)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219501)Termination reason: Instruction limit
% 20.30/3.15  % (1219501)Termination phase: Saturation
% 20.30/3.15  % (1219501)Time elapsed: 1.594 s
% 20.30/3.15  % (1219501)Peak memory usage: 34 MB
% 20.30/3.15  % (1219501)Instructions burned: 3513 (million)
% 20.30/3.15  % (1219518)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2834447022:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 20.30/3.15  % (1219419)Instruction limit reached! 
% 20.30/3.15  % (1219419)------------------------------
% 20.30/3.15  % (1219419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219419)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219419)Termination reason: Instruction limit
% 20.30/3.15  % (1219419)Termination phase: Saturation
% 20.30/3.15  % (1219419)Time elapsed: 2.135 s
% 20.30/3.15  % (1219419)Peak memory usage: 32 MB
% 20.30/3.15  % (1219419)Instructions burned: 5132 (million)
% 20.30/3.15  % (1219520)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3504667056:i=5497:nm=2_2974 on theBenchmark for (2974ds/5497Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219522)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3650664026:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219524)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3352844258:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 20.30/3.15  % Exception at run slice level
% 20.30/3.15  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.30/3.15  % (1219526)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2278603277:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 20.30/3.15  % (1219454) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1219293-1219454"...
% 20.30/3.15  % (1219454)...printing done.
% 20.30/3.15  % (1219514)Instruction limit reached! 
% 20.30/3.15  % (1219514)------------------------------
% 20.30/3.15  % (1219514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219514)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219514)Termination reason: Instruction limit
% 20.30/3.15  % (1219514)Termination phase: Saturation
% 20.30/3.15  % (1219514)Time elapsed: 1.035 s
% 20.30/3.15  % (1219514)Peak memory usage: 30 MB
% 20.30/3.15  % (1219514)Instructions burned: 4595 (million)
% 20.30/3.15  % (1219454)Refutation found. Thanks to Tanya!
% 20.30/3.15  % SZS status Theorem for theBenchmark
% 20.30/3.15  % SZS output start Proof for theBenchmark
% See solution above
% 20.30/3.15  % (1219454)------------------------------
% 20.30/3.15  % (1219454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.15  % (1219454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.15  % (1219454)CaDiCaL version: 2.1.3
% 20.30/3.15  % (1219454)Termination reason: Refutation
% 20.30/3.15  % (1219454)Time elapsed: 2.260 s
% 20.30/3.15  % (1219454)Peak memory usage: 55 MB
% 20.30/3.15  % (1219454)Instructions burned: 4866 (million)
% 20.30/3.15  % (1219293)Success in time 2.885 s
% 20.30/3.15  % Vampire exiting
%------------------------------------------------------------------------------