TSTP Solution File: LCL805-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL805-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:53:31 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  224
% Syntax   : Number of formulae    :  344 ( 212 unt;   0 def)
%            Number of atoms       :  489 (  29 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  199 (  54   ~;  33   |;   0   &)
%                                         ( 112 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :  163 ( 161 usr; 113 prp; 0-4 aty)
%            Number of functors    :   27 (  27 usr;  10 con; 0-5 aty)
%            Number of variables   :  139 ( 139   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1635,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1108,f1113,f1118,f1123,f1128,f1133,f1138,f1143,f1148,f1153,f1158,f1163,f1168,f1173,f1178,f1183,f1188,f1193,f1198,f1203,f1208,f1213,f1218,f1223,f1228,f1233,f1238,f1243,f1248,f1253,f1258,f1263,f1268,f1273,f1278,f1283,f1288,f1293,f1298,f1303,f1308,f1313,f1318,f1323,f1328,f1333,f1338,f1343,f1348,f1353,f1358,f1363,f1368,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1428,f1433,f1438,f1443,f1448,f1453,f1457,f1461,f1465,f1469,f1474,f1479,f1483,f1487,f1491,f1495,f1499,f1503,f1507,f1511,f1515,f1519,f1523,f1527,f1531,f1535,f1539,f1543,f1547,f1551,f1555,f1559,f1563,f1567,f1571,f1575,f1579,f1583,f1587,f1591,f1595,f1599,f1603,f1607,f1611,f1615,f1625,f1632,f1634]) ).

fof(f1634,plain,
    ( ~ spl0_83
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_83
    | spl0_112 ),
    inference(resolution,[],[f1631,f1506]) ).

fof(f1506,plain,
    ( ! [X0,X56] : c_List_Olistsp(X56,c_List_Olist_ONil(X0),X0)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f1505]) ).

fof(f1505,plain,
    ( spl0_83
  <=> ! [X0,X56] : c_List_Olistsp(X56,c_List_Olist_ONil(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1631,plain,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1629,plain,
    ( spl0_112
  <=> c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1632,plain,
    ( ~ spl0_112
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1627,f1622,f1629]) ).

fof(f1622,plain,
    ( spl0_111
  <=> c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1627,plain,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)
    | spl0_111 ),
    inference(forward_demodulation,[],[f1626,f840]) ).

fof(f840,axiom,
    ! [X0,X46,X37] : c_List_Olist_ONil(X0) = c_List_Omap(X46,c_List_Olist_ONil(X37),X37,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).

fof(f1626,plain,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | spl0_111 ),
    inference(forward_demodulation,[],[f1624,f840]) ).

fof(f1624,plain,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f1622]) ).

fof(f1625,plain,
    ~ spl0_111,
    inference(avatar_split_clause,[],[f841,f1622]) ).

fof(f841,axiom,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1615,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f919,f1613]) ).

fof(f1613,plain,
    ( spl0_110
  <=> ! [X84,X85,X0] :
        ( X84 = X85
        | ~ c_fequal(X84,X85,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f919,axiom,
    ! [X0,X84,X85] :
      ( X84 = X85
      | ~ c_fequal(X84,X85,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(f1611,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f762,f1609]) ).

fof(f1609,plain,
    ( spl0_109
  <=> ! [X54,X0] : c_List_Olistrelp(X54,c_List_Olist_ONil(X0),c_List_Olist_ONil(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f762,axiom,
    ! [X0,X54] : c_List_Olistrelp(X54,c_List_Olist_ONil(X0),c_List_Olist_ONil(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listrelp_ONil_0) ).

fof(f1607,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f751,f1605]) ).

fof(f1605,plain,
    ( spl0_108
  <=> ! [X0,X62,X14] : c_List_Olist_ONil(X0) != c_List_Olist_OCons(X14,X62,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f751,axiom,
    ! [X0,X62,X14] : c_List_Olist_ONil(X0) != c_List_Olist_OCons(X14,X62,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).

fof(f1603,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f638,f1601]) ).

fof(f1601,plain,
    ( spl0_107
  <=> ! [X32,X0] : c_List_Oappend(X32,c_List_Olist_ONil(X0),X0) = X32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f638,axiom,
    ! [X0,X32] : c_List_Oappend(X32,c_List_Olist_ONil(X0),X0) = X32,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil2_0) ).

fof(f1599,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f635,f1597]) ).

fof(f1597,plain,
    ( spl0_106
  <=> ! [X0,X33] : c_List_Oappend(c_List_Olist_ONil(X0),X33,X0) = X33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f635,axiom,
    ! [X0,X33] : c_List_Oappend(c_List_Olist_ONil(X0),X33,X0) = X33,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil_0) ).

fof(f1595,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f617,f1593]) ).

fof(f1593,plain,
    ( spl0_105
  <=> ! [X0] : c_List_Olist_ONil(X0) = c_List_Oremdups(c_List_Olist_ONil(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f617,axiom,
    ! [X0] : c_List_Olist_ONil(X0) = c_List_Oremdups(c_List_Olist_ONil(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_1) ).

fof(f1591,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f616,f1589]) ).

fof(f1589,plain,
    ( spl0_104
  <=> ! [X0] : c_List_Olist_ONil(X0) = c_List_Orev(c_List_Olist_ONil(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f616,axiom,
    ! [X0] : c_List_Olist_ONil(X0) = c_List_Orev(c_List_Olist_ONil(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).

fof(f1587,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f608,f1585]) ).

fof(f1585,plain,
    ( spl0_103
  <=> ! [X32,X0] : c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X32,X0) = X32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f608,axiom,
    ! [X0,X32] : c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X32,X0) = X32,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__0_0) ).

fof(f1583,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f602,f1581]) ).

fof(f1581,plain,
    ( spl0_102
  <=> ! [X36,X5] : c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X36,X5) = X36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f602,axiom,
    ! [X36,X5] : c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X36,X5) = X36,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_liftn__0_0) ).

fof(f1579,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f588,f1577]) ).

fof(f1577,plain,
    ( spl0_101
  <=> ! [X0] :
        ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
        | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f588,axiom,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
      | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).

fof(f1575,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f530,f1573]) ).

fof(f1573,plain,
    ( spl0_100
  <=> ! [X32,X0] : c_List_Orev(c_List_Orev(X32,X0),X0) = X32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f530,axiom,
    ! [X0,X32] : c_List_Orev(c_List_Orev(X32,X0),X0) = X32,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).

fof(f1571,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f483,f1569]) ).

fof(f1569,plain,
    ( spl0_99
  <=> ! [X39,X7] : c_Type_Otyping(X39,c_Lambda_OdB_OVar(X7),hAPP(X39,X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f483,axiom,
    ! [X39,X7] : c_Type_Otyping(X39,c_Lambda_OdB_OVar(X7),hAPP(X39,X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

fof(f1567,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f412,f1565]) ).

fof(f1565,plain,
    ( spl0_98
  <=> ! [X9] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X9,X9,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f412,axiom,
    ! [X9] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X9,X9,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).

fof(f1563,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f411,f1561]) ).

fof(f1561,plain,
    ( spl0_97
  <=> ! [X9] : c_HOL_Ominus__class_Ominus(X9,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f411,axiom,
    ! [X9] : c_HOL_Ominus__class_Ominus(X9,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).

fof(f1559,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f360,f1557]) ).

fof(f1557,plain,
    ( spl0_96
  <=> ! [X9,X8] : c_lessequals(c_Divides_Odiv__class_Omod(X9,X8,tc_nat),X9,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f360,axiom,
    ! [X8,X9] : c_lessequals(c_Divides_Odiv__class_Omod(X9,X8,tc_nat),X9,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__less__eq__dividend_0) ).

fof(f1555,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f349,f1553]) ).

fof(f1553,plain,
    ( spl0_95
  <=> ! [X9,X8] : c_lessequals(c_HOL_Ominus__class_Ominus(X9,X8,tc_nat),X9,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f349,axiom,
    ! [X8,X9] : c_lessequals(c_HOL_Ominus__class_Ominus(X9,X8,tc_nat),X9,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__self_0) ).

fof(f1551,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f845,f1549]) ).

fof(f1549,plain,
    ( spl0_94
  <=> ! [X82,X83] :
        ( ~ class_Orderings_Oorder(X83)
        | class_Orderings_Oorder(tc_fun(X82,X83)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f845,axiom,
    ! [X82,X83] :
      ( ~ class_Orderings_Oorder(X83)
      | class_Orderings_Oorder(tc_fun(X82,X83)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f1547,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f844,f1545]) ).

fof(f1545,plain,
    ( spl0_93
  <=> ! [X82,X83] :
        ( ~ class_Lattices_Olattice(X83)
        | class_Lattices_Olattice(tc_fun(X82,X83)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f844,axiom,
    ! [X82,X83] :
      ( ~ class_Lattices_Olattice(X83)
      | class_Lattices_Olattice(tc_fun(X82,X83)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

fof(f1543,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f843,f1541]) ).

fof(f1541,plain,
    ( spl0_92
  <=> ! [X82,X83] :
        ( ~ class_Orderings_Opreorder(X83)
        | class_Orderings_Opreorder(tc_fun(X82,X83)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f843,axiom,
    ! [X82,X83] :
      ( ~ class_Orderings_Opreorder(X83)
      | class_Orderings_Opreorder(tc_fun(X82,X83)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f1539,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f842,f1537]) ).

fof(f1537,plain,
    ( spl0_91
  <=> ! [X82,X83] :
        ( ~ class_Lattices_Olattice(X83)
        | class_Lattices_Olower__semilattice(tc_fun(X82,X83)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f842,axiom,
    ! [X82,X83] :
      ( ~ class_Lattices_Olattice(X83)
      | class_Lattices_Olower__semilattice(tc_fun(X82,X83)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).

fof(f1535,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f742,f1533]) ).

fof(f1533,plain,
    ( spl0_90
  <=> ! [X0] :
        ( ~ class_Orderings_Olinorder(X0)
        | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f742,axiom,
    ! [X0] :
      ( ~ class_Orderings_Olinorder(X0)
      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).

fof(f1531,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f562,f1529]) ).

fof(f1529,plain,
    ( spl0_89
  <=> ! [X32,X0,X7] : c_List_Olist_OCons(X7,X32,X0) != X32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f562,axiom,
    ! [X0,X7,X32] : c_List_Olist_OCons(X7,X32,X0) != X32,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).

fof(f1527,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f143,f1525]) ).

fof(f1525,plain,
    ( spl0_88
  <=> ! [X0,X7] :
        ( ~ class_Orderings_Oorder(X0)
        | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f143,axiom,
    ! [X0,X7] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).

fof(f1523,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f142,f1521]) ).

fof(f1521,plain,
    ( spl0_87
  <=> ! [X0,X7] :
        ( ~ class_Orderings_Olinorder(X0)
        | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f142,axiom,
    ! [X0,X7] :
      ( ~ class_Orderings_Olinorder(X0)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

fof(f1519,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f141,f1517]) ).

fof(f1517,plain,
    ( spl0_86
  <=> ! [X0,X7] :
        ( ~ class_Orderings_Opreorder(X0)
        | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f141,axiom,
    ! [X0,X7] :
      ( ~ class_Orderings_Opreorder(X0)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

fof(f1515,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f104,f1513]) ).

fof(f1513,plain,
    ( spl0_85
  <=> ! [X0,X7] :
        ( ~ class_Orderings_Opreorder(X0)
        | c_lessequals(X7,X7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f104,axiom,
    ! [X0,X7] :
      ( ~ class_Orderings_Opreorder(X0)
      | c_lessequals(X7,X7,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

fof(f1511,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f103,f1509]) ).

fof(f1509,plain,
    ( spl0_84
  <=> ! [X0,X7] :
        ( ~ class_Orderings_Oorder(X0)
        | c_lessequals(X7,X7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f103,axiom,
    ! [X0,X7] :
      ( ~ class_Orderings_Oorder(X0)
      | c_lessequals(X7,X7,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

fof(f1507,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f835,f1505]) ).

fof(f835,axiom,
    ! [X0,X56] : c_List_Olistsp(X56,c_List_Olist_ONil(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).

fof(f1503,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f790,f1501]) ).

fof(f1501,plain,
    ( spl0_82
  <=> ! [X8] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f790,axiom,
    ! [X8] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__IT_0) ).

fof(f1499,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f718,f1497]) ).

fof(f1497,plain,
    ( spl0_81
  <=> ! [X65,X28] : c_Lambda_OdB_OVar(X28) != c_Lambda_OdB_OAbs(X65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f718,axiom,
    ! [X65,X28] : c_Lambda_OdB_OVar(X28) != c_Lambda_OdB_OAbs(X65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I7_J_0) ).

fof(f1495,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f702,f1493]) ).

fof(f1493,plain,
    ( spl0_80
  <=> ! [X0,X32] : c_List_Odistinct(c_List_Oremdups(X32,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f702,axiom,
    ! [X0,X32] : c_List_Odistinct(c_List_Oremdups(X32,X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).

fof(f1491,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f418,f1489]) ).

fof(f1489,plain,
    ( spl0_79
  <=> ! [X8] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X8,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f418,axiom,
    ! [X8] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X8,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_0) ).

fof(f1487,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f416,f1485]) ).

fof(f1485,plain,
    ( spl0_78
  <=> ! [X8] : ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f416,axiom,
    ! [X8] : ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).

fof(f1483,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f918,f1481]) ).

fof(f1481,plain,
    ( spl0_77
  <=> ! [X0,X7] : c_fequal(X7,X7,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f918,axiom,
    ! [X0,X7] : c_fequal(X7,X7,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f1479,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f838,f1476]) ).

fof(f1476,plain,
    ( spl0_76
  <=> hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f838,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

fof(f1474,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f791,f1471]) ).

fof(f1471,plain,
    ( spl0_75
  <=> hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f791,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var_I3_J_0) ).

fof(f1469,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f683,f1467]) ).

fof(f1467,plain,
    ( spl0_74
  <=> ! [X36,X4] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X4),X36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f683,axiom,
    ! [X36,X4] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X4),X36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I1_J_0) ).

fof(f1465,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f625,f1463]) ).

fof(f1463,plain,
    ( spl0_73
  <=> ! [X0] : c_List_Odistinct(c_List_Olist_ONil(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f625,axiom,
    ! [X0] : c_List_Odistinct(c_List_Olist_ONil(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).

fof(f1461,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f145,f1459]) ).

fof(f1459,plain,
    ( spl0_72
  <=> ! [X7] : ~ c_HOL_Oord__class_Oless(X7,X7,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f145,axiom,
    ! [X7] : ~ c_HOL_Oord__class_Oless(X7,X7,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_1) ).

fof(f1457,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f102,f1455]) ).

fof(f1455,plain,
    ( spl0_71
  <=> ! [X7] : c_lessequals(X7,X7,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f102,axiom,
    ! [X7] : c_lessequals(X7,X7,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).

fof(f1453,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f915,f1450]) ).

fof(f1450,plain,
    ( spl0_70
  <=> class_Int_Onumber(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f915,axiom,
    class_Int_Onumber(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).

fof(f1448,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f914,f1445]) ).

fof(f1445,plain,
    ( spl0_69
  <=> class_Power_Opower(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f914,axiom,
    class_Power_Opower(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Power_Opower) ).

fof(f1443,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f913,f1440]) ).

fof(f1440,plain,
    ( spl0_68
  <=> class_Int_Onumber__ring(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f913,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).

fof(f1438,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f912,f1435]) ).

fof(f1435,plain,
    ( spl0_67
  <=> class_Int_Oring__char__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f912,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).

fof(f1433,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f911,f1430]) ).

fof(f1430,plain,
    ( spl0_66
  <=> class_Orderings_Oorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f911,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).

fof(f1428,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f910,f1425]) ).

fof(f1425,plain,
    ( spl0_65
  <=> class_Divides_Oring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f910,axiom,
    class_Divides_Oring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Oring__div) ).

fof(f1423,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f909,f1420]) ).

fof(f1420,plain,
    ( spl0_64
  <=> class_Lattices_Olattice(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f909,axiom,
    class_Lattices_Olattice(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Lattices_Olattice) ).

fof(f1418,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f908,f1415]) ).

fof(f1415,plain,
    ( spl0_63
  <=> class_Orderings_Olinorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f908,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).

fof(f1413,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f907,f1410]) ).

fof(f1410,plain,
    ( spl0_62
  <=> class_Orderings_Opreorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f907,axiom,
    class_Orderings_Opreorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).

fof(f1408,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f906,f1405]) ).

fof(f1405,plain,
    ( spl0_61
  <=> class_Nat_Osemiring__char__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f906,axiom,
    class_Nat_Osemiring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Nat_Osemiring__char__0) ).

fof(f1403,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f905,f1400]) ).

fof(f1400,plain,
    ( spl0_60
  <=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f905,axiom,
    class_Ring__and__Field_Oidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).

fof(f1398,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f904,f1395]) ).

fof(f1395,plain,
    ( spl0_59
  <=> class_Divides_Osemiring__div(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f904,axiom,
    class_Divides_Osemiring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Osemiring__div) ).

fof(f1393,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f903,f1390]) ).

fof(f1390,plain,
    ( spl0_58
  <=> class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f903,axiom,
    class_Ring__and__Field_Oring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1) ).

fof(f1388,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f902,f1385]) ).

fof(f1385,plain,
    ( spl0_57
  <=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f902,axiom,
    class_OrderedGroup_Ogroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).

fof(f1383,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f901,f1380]) ).

fof(f1380,plain,
    ( spl0_56
  <=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f901,axiom,
    class_OrderedGroup_Omonoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).

fof(f1378,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f900,f1375]) ).

fof(f1375,plain,
    ( spl0_55
  <=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f900,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).

fof(f1373,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f899,f1370]) ).

fof(f1370,plain,
    ( spl0_54
  <=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f899,axiom,
    class_Ring__and__Field_Omult__zero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).

fof(f1368,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f898,f1365]) ).

fof(f1365,plain,
    ( spl0_53
  <=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f898,axiom,
    class_OrderedGroup_Oab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).

fof(f1363,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f897,f1360]) ).

fof(f1360,plain,
    ( spl0_52
  <=> class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f897,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__0) ).

fof(f1358,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f896,f1355]) ).

fof(f1355,plain,
    ( spl0_51
  <=> class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f896,axiom,
    class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__1) ).

fof(f1353,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f895,f1350]) ).

fof(f1350,plain,
    ( spl0_50
  <=> class_Lattices_Olower__semilattice(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f895,axiom,
    class_Lattices_Olower__semilattice(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Lattices_Olower__semilattice) ).

fof(f1348,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f894,f1345]) ).

fof(f1345,plain,
    ( spl0_49
  <=> class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f894,axiom,
    class_OrderedGroup_Osemigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Osemigroup__add) ).

fof(f1343,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f893,f1340]) ).

fof(f1340,plain,
    ( spl0_48
  <=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f893,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).

fof(f1338,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f892,f1335]) ).

fof(f1335,plain,
    ( spl0_47
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f892,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).

fof(f1333,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f891,f1330]) ).

fof(f1330,plain,
    ( spl0_46
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f891,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).

fof(f1328,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f890,f1325]) ).

fof(f1325,plain,
    ( spl0_45
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f890,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).

fof(f1323,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f889,f1320]) ).

fof(f1320,plain,
    ( spl0_44
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f889,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).

fof(f1318,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f888,f1315]) ).

fof(f1315,plain,
    ( spl0_43
  <=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f888,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).

fof(f1313,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f887,f1310]) ).

fof(f1310,plain,
    ( spl0_42
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f887,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).

fof(f1308,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f886,f1305]) ).

fof(f1305,plain,
    ( spl0_41
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f886,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).

fof(f1303,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f885,f1300]) ).

fof(f1300,plain,
    ( spl0_40
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f885,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).

fof(f1298,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f884,f1295]) ).

fof(f1295,plain,
    ( spl0_39
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f884,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).

fof(f1293,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f883,f1290]) ).

fof(f1290,plain,
    ( spl0_38
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f883,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(f1288,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f882,f1285]) ).

fof(f1285,plain,
    ( spl0_37
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f882,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).

fof(f1283,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f881,f1280]) ).

fof(f1280,plain,
    ( spl0_36
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f881,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(f1278,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f880,f1275]) ).

fof(f1275,plain,
    ( spl0_35
  <=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f880,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors) ).

fof(f1273,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f879,f1270]) ).

fof(f1270,plain,
    ( spl0_34
  <=> class_OrderedGroup_Olordered__ab__group__add__meet(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f879,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__meet) ).

fof(f1268,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f878,f1265]) ).

fof(f1265,plain,
    ( spl0_33
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f878,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(f1263,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f877,f1260]) ).

fof(f1260,plain,
    ( spl0_32
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f877,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

fof(f1258,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f876,f1255]) ).

fof(f1255,plain,
    ( spl0_31
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f876,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f1253,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f875,f1250]) ).

fof(f1250,plain,
    ( spl0_30
  <=> class_Lattices_Olattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f875,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

fof(f1248,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f874,f1245]) ).

fof(f1245,plain,
    ( spl0_29
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f874,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f1243,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f873,f1240]) ).

fof(f1240,plain,
    ( spl0_28
  <=> class_Lattices_Olower__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f873,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

fof(f1238,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f872,f1235]) ).

fof(f1235,plain,
    ( spl0_27
  <=> class_Int_Onumber(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f872,axiom,
    class_Int_Onumber(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Int_Onumber) ).

fof(f1233,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f871,f1230]) ).

fof(f1230,plain,
    ( spl0_26
  <=> class_Power_Opower(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f871,axiom,
    class_Power_Opower(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).

fof(f1228,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f870,f1225]) ).

fof(f1225,plain,
    ( spl0_25
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f870,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f1223,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f869,f1220]) ).

fof(f1220,plain,
    ( spl0_24
  <=> class_Lattices_Olattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f869,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

fof(f1218,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f868,f1215]) ).

fof(f1215,plain,
    ( spl0_23
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f868,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f1213,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f867,f1210]) ).

fof(f1210,plain,
    ( spl0_22
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f867,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f1208,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f866,f1205]) ).

fof(f1205,plain,
    ( spl0_21
  <=> class_Nat_Osemiring__char__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f866,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).

fof(f1203,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f865,f1200]) ).

fof(f1200,plain,
    ( spl0_20
  <=> class_Divides_Osemiring__div(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f865,axiom,
    class_Divides_Osemiring__div(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).

fof(f1198,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f864,f1195]) ).

fof(f1195,plain,
    ( spl0_19
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f864,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).

fof(f1193,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f863,f1190]) ).

fof(f1190,plain,
    ( spl0_18
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f863,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).

fof(f1188,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f862,f1185]) ).

fof(f1185,plain,
    ( spl0_17
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f862,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).

fof(f1183,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f861,f1180]) ).

fof(f1180,plain,
    ( spl0_16
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f861,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__0) ).

fof(f1178,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f860,f1175]) ).

fof(f1175,plain,
    ( spl0_15
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f860,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).

fof(f1173,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f859,f1170]) ).

fof(f1170,plain,
    ( spl0_14
  <=> class_Lattices_Olower__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f859,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).

fof(f1168,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f858,f1165]) ).

fof(f1165,plain,
    ( spl0_13
  <=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f858,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Osemigroup__add) ).

fof(f1163,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f857,f1160]) ).

fof(f1160,plain,
    ( spl0_12
  <=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f857,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).

fof(f1158,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f856,f1155]) ).

fof(f1155,plain,
    ( spl0_11
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f856,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).

fof(f1153,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f855,f1150]) ).

fof(f1150,plain,
    ( spl0_10
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f855,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).

fof(f1148,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f854,f1145]) ).

fof(f1145,plain,
    ( spl0_9
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f854,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).

fof(f1143,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f853,f1140]) ).

fof(f1140,plain,
    ( spl0_8
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f853,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).

fof(f1138,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f852,f1135]) ).

fof(f1135,plain,
    ( spl0_7
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f852,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).

fof(f1133,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f851,f1130]) ).

fof(f1130,plain,
    ( spl0_6
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f851,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).

fof(f1128,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f850,f1125]) ).

fof(f1125,plain,
    ( spl0_5
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f850,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(f1123,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f849,f1120]) ).

fof(f1120,plain,
    ( spl0_4
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f849,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).

fof(f1118,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f848,f1115]) ).

fof(f1115,plain,
    ( spl0_3
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f848,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(f1113,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f847,f1110]) ).

fof(f1110,plain,
    ( spl0_2
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f847,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(f1108,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f846,f1105]) ).

fof(f1105,plain,
    ( spl0_1
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f846,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : LCL805-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29  % Computer : n012.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 13:36:10 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  % (13163)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35  % (13166)WARNING: value z3 for option sas not known
% 0.14/0.35  % (13165)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.35  % (13169)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.35  % (13168)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.35  % (13167)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.35  % (13164)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.35  % (13166)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.35  % (13170)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (13168)First to succeed.
% 0.14/0.38  % (13169)Also succeeded, but the first one will report.
% 0.14/0.38  % (13168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13163"
% 0.14/0.38  % (13168)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (13168)------------------------------
% 0.14/0.38  % (13168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (13168)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (13168)Memory used [KB]: 2029
% 0.14/0.38  % (13168)Time elapsed: 0.035 s
% 0.14/0.38  % (13168)Instructions burned: 78 (million)
% 0.14/0.38  % (13163)Success in time 0.085 s
%------------------------------------------------------------------------------