TSTP Solution File: LAT265-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT265-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 07:26:20 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :  376
% Syntax   : Number of formulae    :  377 ( 377 unt;   0 def)
%            Number of atoms       :  377 ( 212 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   33 (  33   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   67 (  65 usr;   1 prp; 0-3 aty)
%            Number of functors    :  137 ( 137 usr;  48 con; 0-5 aty)
%            Number of variables   :  340 ( 340   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2754,plain,
    $false,
    inference(global_subsumption,[],[f2751,f2752,f2750,f1834,f1776,f1779,f1828,f1773,f1770,f1774,f1829,f1760,f1768,f1772,f1771,f1826,f1767,f1766,f1763,f1759,f1825,f1765,f1758,f1824,f1743,f1785,f1784,f1740,f1756,f1821,f1752,f1818,f1757,f1823,f1733,f1762,f1741,f1814,f1761,f1748,f1833,f1755,f1820,f1738,f1807,f1736,f1805,f1739,f1812,f1732,f1813,f1730,f1737,f1754,f1806,f1819,f1734,f1793,f1747,f1832,f1735,f1804,f1751,f1817,f1745,f1746,f1822,f1831,f1750,f1816,f1720,f1788,f1725,f1803,f1722,f1799,f1728,f1749,f1815,f1729,f1810,f1724,f1802,f1744,f1811,f1721,f1798,f1764,f1800,f1727,f1809,f1726,f1808,f1723,f1801,f114,f113,f1023,f1022,f1492,f233,f1173,f1839,f1838,f1716,f1166,f1153,f569,f1713,f414,f886,f888,f256,f572,f1535,f1656,f954,f953,f997,f1018,f989,f234,f249,f237,f879,f912,f1654,f906,f345,f92,f1629,f1613,f1630,f342,f89,f1688,f37,f36,f172,f1554,f241,f1572,f968,f1391,f1488,f1482,f501,f1512,f969,f993,f641,f399,f599,f406,f648,f581,f579,f377,f592,f1430,f35,f1577,f1249,f1475,f1514,f614,f616,f28,f551,f550,f549,f540,f539,f538,f537,f548,f536,f541,f547,f542,f545,f543,f544,f546,f47,f117,f118,f1026,f1027,f729,f141,f207,f247,f27,f158,f978,f977,f159,f1634,f430,f910,f1614,f1618,f1655,f1657,f1702,f1561,f1691,f1563,f287,f240,f486,f487,f1550,f1536,f650,f552,f570,f1,f13,f1244,f1443,f1463,f1241,f1231,f1496,f1495,f392,f375,f491,f582,f625,f626,f604,f585,f637,f431,f636,f1439,f1500,f478,f110,f108,f1243,f1233,f1468,f1467,f327,f1207,f896,f23,f39,f461,f917,f916,f74,f337,f76,f352,f357,f93,f897,f919,f961,f354,f104,f904,f996,f976,f992,f1019,f988,f975,f24,f914,f913,f329,f295,f75,f965,f889,f963,f45,f46,f449,f432,f1502,f1501,f1465,f1464,f610,f397,f395,f608,f1497,f1466,f91,f8,f213,f465,f951,f950,f1568,f494,f651,f653,f1450,f1531,f1451,f65,f1237,f730,f250,f94,f405,f254,f927,f957,f230,f26,f1412,f77,f1453,f44,f1511,f595,f116,f115,f111,f112,f1024,f1020,f1025,f1021,f1235,f251,f1206,f1632,f1631,f1615,f1616,f78,f903,f1696,f574,f1547,f1651,f1680,f1685,f1635,f257,f255,f1570,f1569,f400,f353,f40,f1407,f1397,f995,f1016,f728,f160,f161,f171,f1523,f451,f442,f642,f1242,f1232,f1240,f1234,f30,f10,f9]) ).

fof(f9,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f10,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f30,axiom,
    ! [X2,X0] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X2),X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s_1) ).

fof(f1234,axiom,
    ! [X2,X19,X4] : c_Relation_Orel__comp(c_Relation_OId,X4,X19,X19,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OId__O__R_0) ).

fof(f1240,axiom,
    ! [X2,X19,X4] : c_Relation_Orel__comp(X4,c_Relation_OId,X2,X19,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OR__O__Id_0) ).

fof(f1232,axiom,
    ! [X2,X4] : c_Relation_ODomain(c_Relation_Odiag(X4,X2),X2,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomain__diag_0) ).

fof(f1242,axiom,
    ! [X2,X4] : c_Relation_ORange(c_Relation_Odiag(X4,X2),X2,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORange__diag_0) ).

fof(f642,axiom,
    ! [X0,X4,X15] : c_List_Otl(c_List_Olist_OCons(X0,X4,X15),X15) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otl_Osimps__2_0) ).

fof(f442,axiom,
    ! [X2,X4,X43] : c_List_Ohd(c_List_Olist_OCons(X4,X43,X2),X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ohd_Osimps_0) ).

fof(f451,axiom,
    ! [X2,X0] : c_List_Olast(c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olast_Osimps_0) ).

fof(f1523,axiom,
    ! [X2,X4] : c_Set_Ocontents(c_insert(X4,c_emptyset,X2),X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Ocontents__eq_0) ).

fof(f171,axiom,
    ! [X4] : c_GCD_Ogcd(c_Pair(X4,X4,tc_nat,tc_nat)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__self_0) ).

fof(f161,axiom,
    ! [X4] : c_GCD_Ogcd(c_Pair(c_0,X4,tc_nat,tc_nat)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__0__left_0) ).

fof(f160,axiom,
    ! [X4] : c_GCD_Ogcd(c_Pair(X4,c_0,tc_nat,tc_nat)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__0_0) ).

fof(f728,axiom,
    ! [X37] : c_IntDef_Onat(c_Numeral_Onumber__of(X37,tc_IntDef_Oint)) = c_Numeral_Onumber__of(X37,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__number__of_0) ).

fof(f1016,axiom,
    ! [X37] : c_Numeral_OBit(X37,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OBit(X37,c_Numeral_Obit_OB0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__0_0) ).

fof(f995,axiom,
    ! [X37] : c_Numeral_OBit(X37,c_Numeral_Obit_OB0) = c_Numeral_Obin__pred(c_Numeral_OBit(X37,c_Numeral_Obit_OB1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__1_0) ).

fof(f1397,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).

fof(f1407,axiom,
    ! [X40] : c_Suc(X40) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X40,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).

fof(f40,axiom,
    ! [X2,X17] : c_0 = c_Nat_Osize(c_Datatype_Ooption_OSome(X17,X2),tc_Datatype_Ooption(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Osize__2_0) ).

fof(f353,axiom,
    ! [X17] : c_0 = c_Divides_Oop_Amod(X17,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__minus1__right_0) ).

fof(f400,axiom,
    ! [X0,X15] : c_List_Olist_ONil = c_List_Obutlast(c_List_Olist_OCons(X0,c_List_Olist_ONil,X15),X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Obutlast_Osimps__2_0) ).

fof(f1569,axiom,
    ! [X2,X81] : c_UNIV = c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X81,X2),X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_ODomain__rtrancl_0) ).

fof(f1570,axiom,
    ! [X2,X81] : c_UNIV = c_Relation_ORange(c_Transitive__Closure_Ortrancl(X81,X2),X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_ORange__rtrancl_0) ).

fof(f255,axiom,
    ! [X27,X13] : ~ c_less(c_IntDef_Oint(X13),c_uminus(c_IntDef_Oint(X27),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onot__int__zless__negative_0) ).

fof(f257,axiom,
    ! [X13] : ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X13)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onot__zle__0__negative_0) ).

fof(f1635,axiom,
    ! [X2,X43] : c_in(c_List_Oset(X43,X2),c_Finite__Set_OFinites,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).

fof(f1685,axiom,
    ! [X12] : c_in(c_SetInterval_OlessThan(X12,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).

fof(f1680,axiom,
    ! [X12] : c_in(c_SetInterval_OatMost(X12,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).

fof(f1651,axiom,
    ! [X2,X29] : c_in(c_List_Olist_ONil,c_List_Olists(X29,X2),tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).

fof(f1547,axiom,
    ! [X2,X0,X29] : c_in(X0,c_insert(X0,X29,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).

fof(f574,axiom,
    ! [X2,X0,X44] : c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X44,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oop_Amem_Osimps__2_1) ).

fof(f1696,axiom,
    ! [X2,X17] : c_in(X17,c_insert(X17,c_emptyset,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonI_0) ).

fof(f903,axiom,
    ! [X27,X13] : c_lessequals(c_minus(X27,X13,tc_nat),X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__le__self_0) ).

fof(f78,axiom,
    ! [X27,X13] : c_lessequals(c_div(X27,X13,tc_nat),X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odiv__le__dividend_0) ).

fof(f1616,axiom,
    ! [X27,X12] : c_Divides_Oop_Advd(X12,c_times(X27,X12,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).

fof(f1615,axiom,
    ! [X27,X12] : c_Divides_Oop_Advd(X12,c_times(X12,X27,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).

fof(f1631,axiom,
    ! [X27,X12] : c_Divides_Oop_Advd(X12,c_times(X12,X27,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).

fof(f1632,axiom,
    ! [X27,X12] : c_Divides_Oop_Advd(X12,c_times(X27,X12,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).

fof(f1206,axiom,
    ! [X0] : c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).

fof(f251,axiom,
    ! [X13] : c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X13)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oneg__zminus__int_0) ).

fof(f1235,axiom,
    ! [X2,X4] : c_Relation_OImage(c_Relation_OId,X4,X2,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__Id_0) ).

fof(f1021,axiom,
    ! [X31,X2,X4] : c_Numeral_Obit_Obit__case(X31,X4,c_Numeral_Obit_OB1,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Ocases__2_0) ).

fof(f1025,axiom,
    ! [X31,X2,X4] : c_Numeral_Obit_Obit__rec(X31,X4,c_Numeral_Obit_OB1,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Orecs__2_0) ).

fof(f1020,axiom,
    ! [X2,X4,X30] : c_Numeral_Obit_Obit__case(X4,X30,c_Numeral_Obit_OB0,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Ocases__1_0) ).

fof(f1024,axiom,
    ! [X2,X4,X30] : c_Numeral_Obit_Obit__rec(X4,X30,c_Numeral_Obit_OB0,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Orecs__1_0) ).

fof(f112,axiom,
    ! [X31,X2,X4] : c_Extraction_Osumbool_Osumbool__case(X31,X4,c_Extraction_Osumbool_ORight,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Ocases__2_0) ).

fof(f111,axiom,
    ! [X2,X4,X30] : c_Extraction_Osumbool_Osumbool__case(X4,X30,c_Extraction_Osumbool_OLeft,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Ocases__1_0) ).

fof(f115,axiom,
    ! [X2,X4,X30] : c_Extraction_Osumbool_Osumbool__rec(X4,X30,c_Extraction_Osumbool_OLeft,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Orecs__1_0) ).

fof(f116,axiom,
    ! [X31,X2,X4] : c_Extraction_Osumbool_Osumbool__rec(X31,X4,c_Extraction_Osumbool_ORight,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Orecs__2_0) ).

fof(f595,axiom,
    ! [X2,X4] : c_List_Orev(c_List_Orev(X4,X2),X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__rev__ident_0) ).

fof(f1511,axiom,
    ! [X2,X4] : c_Union(c_Pow(X4,X2),X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__Pow__eq_0) ).

fof(f44,axiom,
    ! [X2,X4] : c_Datatype_Othe(c_Datatype_Ooption_OSome(X4,X2),X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Othe_Osimps_0) ).

fof(f1453,axiom,
    ! [X2,X4] : c_minus(X4,c_emptyset,tc_set(X2)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__empty_0) ).

fof(f77,axiom,
    ! [X4] : c_div(X4,c_Suc(c_0),tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odiv__1_0) ).

fof(f1412,axiom,
    ! [X4] : c_Finite__Set_Ocard(c_SetInterval_OlessThan(X4,tc_nat),tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__lessThan_0) ).

fof(f26,axiom,
    ! [X13] : c_Suc(X13) = c_Binomial_Obinomial(c_Suc(X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__n_0) ).

fof(f230,axiom,
    ! [X27] : c_IntDef_Oint(X27) = c_HOL_Oabs(c_IntDef_Oint(X27),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oabs__int__eq_0) ).

fof(f957,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).

fof(f927,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).

fof(f254,axiom,
    c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).

fof(f405,axiom,
    ! [X50,X49] : c_0 = c_Nat_Osize(c_List_Ochar_OChar(X49,X50),tc_List_Ochar),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Osize_0) ).

fof(f94,axiom,
    ! [X27] : c_0 = c_Divides_Oop_Amod(X27,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__1_0) ).

fof(f250,axiom,
    ! [X13] : c_0 = c_IntDef_Onat(c_uminus(c_IntDef_Oint(X13),tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zminus__int_0) ).

fof(f730,axiom,
    c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).

fof(f1237,axiom,
    ! [X2,X81,X19] : c_emptyset = c_Relation_OImage(X81,c_emptyset,X19,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__empty_0) ).

fof(f65,axiom,
    ! [X2,X19,X20] : c_emptyset = c_Datatype__Universe_Ontrunc(c_0,X20,X2,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ontrunc__0_0) ).

fof(f1451,axiom,
    ! [X2,X29] : c_emptyset = c_minus(X29,X29,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).

fof(f1531,axiom,
    ! [X2,X29] : c_emptyset = c_minus(c_emptyset,X29,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__Diff_0) ).

fof(f1450,axiom,
    ! [X2,X29] : c_emptyset = c_minus(X29,c_UNIV,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__UNIV_0) ).

fof(f653,axiom,
    ! [X2,X44,X19] : c_List_Olist_ONil = c_List_Ozip(c_List_Olist_ONil,X44,X2,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ozip__Nil_0) ).

fof(f651,axiom,
    ! [X78,X15,X43] : c_List_Olist_ONil = c_List_Ozip(X43,c_List_Olist_ONil,X15,X78),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ozip_Osimps__1_0) ).

fof(f494,axiom,
    ! [X38,X26,X15] : c_List_Olist_ONil = c_List_Olist__update(c_List_Olist_ONil,X26,X38,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist__update_Osimps__1_0) ).

fof(f1568,axiom,
    ! [X2,X19] : c_UNIV = c_Sum__Type_OPlus(c_UNIV,c_UNIV,X2,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OUNIV__Plus__UNIV_0) ).

fof(f950,axiom,
    ! [X54,X26] : ~ c_less(c_plus(X26,X54,tc_nat),X26,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1_0) ).

fof(f951,axiom,
    ! [X54,X26] : ~ c_less(c_plus(X54,X26,tc_nat),X26,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).

fof(f465,axiom,
    ! [X2] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv_0) ).

fof(f213,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).

fof(f8,axiom,
    c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0) ).

fof(f91,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).

fof(f1466,axiom,
    ! [X2,X4] : c_inter(X4,X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__absorb_0) ).

fof(f1497,axiom,
    ! [X2,X4] : c_union(X4,X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).

fof(f608,axiom,
    ! [X2,X44] : c_append(c_List_Olist_ONil,X44,X2) = X44,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2_1) ).

fof(f395,axiom,
    ! [X2,X44] : c_append(c_List_Olist_ONil,X44,X2) = X44,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2_1) ).

fof(f397,axiom,
    ! [X2,X43] : c_append(X43,c_List_Olist_ONil,X2) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv_1) ).

fof(f610,axiom,
    ! [X2,X43] : c_append(X43,c_List_Olist_ONil,X2) = X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv_1) ).

fof(f1464,axiom,
    ! [X2,X4] : c_inter(c_UNIV,X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__left_0) ).

fof(f1465,axiom,
    ! [X2,X4] : c_inter(X4,c_UNIV,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__right_0) ).

fof(f1501,axiom,
    ! [X2,X4] : c_union(c_emptyset,X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).

fof(f1502,axiom,
    ! [X2,X4] : c_union(X4,c_emptyset,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).

fof(f432,axiom,
    ! [X2,X4] : c_List_Odrop(c_0,X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Odrop__0_0) ).

fof(f449,axiom,
    ! [X4,X15] : c_List_Oitrev(c_List_Olist_ONil,X4,X15) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oitrev_Osimps__1_0) ).

fof(f46,axiom,
    ! [X2,X4] : c_Datatype_Ounit_Ounit__rec(X4,c_Product__Type_OUnity,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Orecs_0) ).

fof(f45,axiom,
    ! [X2,X4] : c_Datatype_Ounit_Ounit__case(X4,c_Product__Type_OUnity,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Ocases_0) ).

fof(f963,axiom,
    ! [X4] : c_plus(c_0,X4,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).

fof(f889,axiom,
    ! [X4] : c_plus(X4,c_0,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).

fof(f965,axiom,
    ! [X4] : c_minus(X4,c_0,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_N_Odiff__0_0) ).

fof(f75,axiom,
    ! [X4] : c_Divides_Oop_Amod(X4,c_0,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_ODIVISION__BY__ZERO__MOD_0) ).

fof(f295,axiom,
    ! [X4] : c_Divides_Oop_Amod(X4,c_0,tc_IntDef_Oint) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_ODIVISION__BY__ZERO_0) ).

fof(f329,axiom,
    ! [X4] : c_div(X4,c_1,tc_IntDef_Oint) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdiv__1_0) ).

fof(f913,axiom,
    ! [X4] : c_Orderings_Omax(c_0,X4,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omax__0L_0) ).

fof(f914,axiom,
    ! [X4] : c_Orderings_Omax(X4,c_0,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omax__0R_0) ).

fof(f24,axiom,
    ! [X4] : c_Binomial_Obinomial(X4,c_Suc(c_0)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).

fof(f975,axiom,
    ! [X37] : c_Numeral_Obin__add(c_Numeral_OMin,X37) = c_Numeral_Obin__pred(X37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).

fof(f988,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).

fof(f1019,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).

fof(f992,axiom,
    ! [X37] : c_Numeral_Obin__minus(X37) = c_Numeral_Obin__mult(c_Numeral_OMin,X37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).

fof(f976,axiom,
    ! [X37] : c_Numeral_Obin__pred(X37) = c_Numeral_Obin__add(X37,c_Numeral_OMin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).

fof(f996,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).

fof(f904,axiom,
    ! [X27] : c_0 = c_minus(X27,X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).

fof(f104,axiom,
    ! [X13] : c_0 = c_Divides_Oop_Amod(X13,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__self_0) ).

fof(f354,axiom,
    ! [X17] : c_0 = c_Divides_Oop_Amod(X17,X17,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__self_0) ).

fof(f961,axiom,
    ! [X13] : c_0 = c_times(c_0,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__0_0) ).

fof(f919,axiom,
    ! [X27] : c_0 = c_times(X27,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__0__right_0) ).

fof(f897,axiom,
    ! [X13] : c_0 = c_minus(c_0,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__0__eq__0_0) ).

fof(f93,axiom,
    ! [X27] : c_0 = c_Divides_Oop_Amod(c_0,X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__0_0) ).

fof(f357,axiom,
    ! [X18] : c_0 = c_Divides_Oop_Amod(c_0,X18,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__zero_0) ).

fof(f352,axiom,
    ! [X17] : c_0 = c_Divides_Oop_Amod(X17,c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__1_0) ).

fof(f76,axiom,
    ! [X27] : c_0 = c_div(c_0,X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odiv__0_0) ).

fof(f337,axiom,
    ! [X18] : c_0 = c_div(c_0,X18,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdiv__zero_0) ).

fof(f74,axiom,
    ! [X17] : c_0 = c_div(X17,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_ODIVISION__BY__ZERO__DIV_0) ).

fof(f916,axiom,
    ! [X13] : c_0 = c_Orderings_Omin(c_0,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omin__0L_0) ).

fof(f917,axiom,
    ! [X13] : c_0 = c_Orderings_Omin(X13,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omin__0R_0) ).

fof(f461,axiom,
    ! [X2] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv_1) ).

fof(f39,axiom,
    ! [X2] : c_0 = c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Osize__1_0) ).

fof(f23,axiom,
    ! [X12] : c_0 = c_Binomial_Obinomial(c_0,c_Suc(X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__0__Suc_0) ).

fof(f896,axiom,
    c_0 = c_plus(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_2) ).

fof(f1207,axiom,
    ! [X42] : c_1 = c_Nat_Opower(X42,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).

fof(f327,axiom,
    ! [X42] : c_1 = c_Nat_Opower(X42,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).

fof(f1467,axiom,
    ! [X2,X33] : c_emptyset = c_inter(c_emptyset,X33,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__empty__left_0) ).

fof(f1468,axiom,
    ! [X2,X29] : c_emptyset = c_inter(X29,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__empty__right_0) ).

fof(f1233,axiom,
    ! [X2,X19] : c_emptyset = c_Relation_ODomain(c_emptyset,X2,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomain__empty_0) ).

fof(f1243,axiom,
    ! [X2,X19] : c_emptyset = c_Relation_ORange(c_emptyset,X19,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORange__empty_0) ).

fof(f108,axiom,
    ! [X2,X22] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X22,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2_1) ).

fof(f110,axiom,
    ! [X2,X22] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X22,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty_1) ).

fof(f478,axiom,
    ! [X15,X22] : c_emptyset = c_List_Olexn(X22,c_0,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olexn_Osimps__1_0) ).

fof(f1500,axiom,
    ! [X2] : c_emptyset = c_union(c_emptyset,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty_2) ).

fof(f1439,axiom,
    ! [X2] : c_emptyset = c_uminus(c_UNIV,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__UNIV__eq_0) ).

fof(f636,axiom,
    ! [X2,X43] : c_List_Olist_ONil = c_List_Otake(c_0,X43,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otake__eq__Nil_1) ).

fof(f431,axiom,
    ! [X15,X13] : c_List_Olist_ONil = c_List_Odrop(X13,c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Odrop_Odrop__Nil_0) ).

fof(f637,axiom,
    ! [X2,X13] : c_List_Olist_ONil = c_List_Otake(X13,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otake__eq__Nil_2) ).

fof(f585,axiom,
    ! [X0,X15] : c_List_Olist_ONil = c_List_Oreplicate(c_0,X0,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oreplicate_Oreplicate__0_0) ).

fof(f604,axiom,
    ! [X2,X13] : c_List_Olist_ONil = c_List_Orotate(X13,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orotate__is__Nil__conv_1) ).

fof(f626,axiom,
    ! [X2,X29] : c_List_Olist_ONil = c_List_Osublist(c_List_Olist_ONil,X29,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osublist__nil_0) ).

fof(f625,axiom,
    ! [X2,X43] : c_List_Olist_ONil = c_List_Osublist(X43,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osublist__empty_0) ).

fof(f582,axiom,
    ! [X0,X15] : c_List_Olist_ONil = c_List_Oremove1(X0,c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oremove1_Osimps__1_0) ).

fof(f491,axiom,
    ! [X15,X60] : c_List_Olist_ONil = c_List_Olist__inter(c_List_Olist_ONil,X60,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist__inter_Osimps__1_0) ).

fof(f375,axiom,
    ! [X2] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv_2) ).

fof(f392,axiom,
    ! [X2] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv_2) ).

fof(f1495,axiom,
    ! [X2,X33] : c_UNIV = c_union(c_UNIV,X33,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__left_0) ).

fof(f1496,axiom,
    ! [X2,X29] : c_UNIV = c_union(X29,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__right_0) ).

fof(f1231,axiom,
    ! [X2] : c_UNIV = c_Relation_ODomain(c_Relation_OId,X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomain__Id_0) ).

fof(f1241,axiom,
    ! [X2] : c_UNIV = c_Relation_ORange(c_Relation_OId,X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORange__Id_0) ).

fof(f1463,axiom,
    ! [X2] : c_UNIV = c_inter(c_UNIV,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__UNIV_2) ).

fof(f1443,axiom,
    ! [X2] : c_UNIV = c_uminus(c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__empty__eq_0) ).

fof(f1244,axiom,
    ! [X2] : c_Relation_OId = c_Relation_Oconverse(c_Relation_OId,X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__Id_0) ).

fof(f13,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f1,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f570,axiom,
    ! [X0,X15,X43] : ~ c_List_Onull(c_List_Olist_OCons(X0,X43,X15),X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onull_Osimps__2_0) ).

fof(f552,axiom,
    ! [X2,X0,X43] : c_List_Olist_OCons(X0,X43,X2) != X43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onot__Cons__self_0) ).

fof(f650,axiom,
    ! [X2,X0,X77] : c_List_Olist_OCons(X0,X77,X2) != X77,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0) ).

fof(f1536,axiom,
    ! [X2,X29,X17] : c_emptyset != c_insert(X17,X29,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).

fof(f1550,axiom,
    ! [X2,X29,X17] : c_emptyset != c_insert(X17,X29,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__not__empty_0) ).

fof(f487,axiom,
    ! [X2,X58,X16] : c_List_Olist_ONil != c_List_Olist_OCons(X16,X58,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2_0) ).

fof(f486,axiom,
    ! [X2,X58,X16] : c_List_Olist_ONil != c_List_Olist_OCons(X16,X58,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).

fof(f240,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).

fof(f287,axiom,
    ! [X13] : c_lessequals(c_0,c_IntDef_Oint(X13),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Ozero__zle__int_0) ).

fof(f1563,axiom,
    ! [X2] : c_lessequals(c_emptyset,c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__empty_1) ).

fof(f1691,axiom,
    ! [X2,X29] : c_lessequals(c_emptyset,X29,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).

fof(f1561,axiom,
    ! [X2,X29] : c_lessequals(X29,c_UNIV,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__UNIV_0) ).

fof(f1702,axiom,
    ! [X2,X29] : c_lessequals(X29,X29,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1657,axiom,
    ! [X13] : c_less(c_0,c_Suc(X13),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).

fof(f1655,axiom,
    ! [X13] : c_less(X13,c_Suc(X13),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).

fof(f1618,axiom,
    ! [X2] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).

fof(f1614,axiom,
    ! [X12] : c_Divides_Oop_Advd(c_Suc(c_0),X12,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).

fof(f910,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).

fof(f430,axiom,
    ! [X54,X26] : c_List_Odistinct(c_List_Oupt(X26,X54),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Odistinct__upt_0) ).

fof(f1634,axiom,
    ! [X2,X43] : c_List_Odistinct(c_List_Oremdups(X43,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Odistinct__remdups_0) ).

fof(f159,axiom,
    ! [X2,X4] : c_Fun_Oid(X4,X2) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fun_Oid__apply_0) ).

fof(f977,axiom,
    ! [X4] : c_Numeral_Obin__add(c_Numeral_OPls,X4) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Pls_0) ).

fof(f978,axiom,
    ! [X4] : c_Numeral_Obin__add(X4,c_Numeral_OPls) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Pls__right_0) ).

fof(f158,axiom,
    ! [X4] : c_NatArith_Oof__nat(X4,tc_nat) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Oof__nat__id_0) ).

fof(f27,axiom,
    ! [X13] : c_Binomial_Obinomial(X13,c_0) = c_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).

fof(f247,axiom,
    ! [X4] : c_IntDef_Onat(c_IntDef_Oint(X4)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__int_0) ).

fof(f207,axiom,
    c_Suc(c_0) = c_IntDef_Onat(c_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).

fof(f141,axiom,
    ! [X2] : c_0 = c_Finite__Set_Ocard(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ocard__empty_0) ).

fof(f729,axiom,
    c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).

fof(f1027,axiom,
    c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).

fof(f1026,axiom,
    c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).

fof(f118,axiom,
    c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).

fof(f117,axiom,
    c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).

fof(f47,axiom,
    c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).

fof(f546,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).

fof(f544,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).

fof(f543,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).

fof(f545,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).

fof(f542,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).

fof(f547,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).

fof(f541,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).

fof(f536,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).

fof(f548,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).

fof(f537,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).

fof(f538,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).

fof(f539,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).

fof(f540,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).

fof(f549,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).

fof(f550,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).

fof(f551,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).

fof(f28,axiom,
    ! [X13] : c_1 = c_Binomial_Obinomial(X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__n_0) ).

fof(f616,axiom,
    ! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty_1) ).

fof(f614,axiom,
    ! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2_1) ).

fof(f1514,axiom,
    ! [X2] : c_emptyset = c_Union(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__empty_0) ).

fof(f1475,axiom,
    ! [X2] : c_emptyset = c_Inter(c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInter__UNIV_0) ).

fof(f1249,axiom,
    ! [X2] : c_emptyset = c_Relation_Odiag(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Odiag__empty_0) ).

fof(f1577,axiom,
    ! [X2] : c_emptyset = c_Transitive__Closure_Otrancl(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__empty_0) ).

fof(f35,axiom,
    ! [X2] : c_emptyset = c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oo2s__empty__eq_1) ).

fof(f1430,axiom,
    c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).

fof(f592,axiom,
    ! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv_1) ).

fof(f377,axiom,
    ! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv_1) ).

fof(f579,axiom,
    ! [X2] : c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oremdups__eq__nil__iff_1) ).

fof(f581,axiom,
    ! [X2] : c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oremdups__eq__nil__right__iff_1) ).

fof(f648,axiom,
    ! [X26] : c_List_Olist_ONil = c_List_Oupt(X26,c_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oupt__eq__Nil__conv_1) ).

fof(f406,axiom,
    ! [X15] : c_List_Olist_ONil = c_List_Oconcat(c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oconcat_Osimps__1_0) ).

fof(f599,axiom,
    ! [X2] : c_List_Olist_ONil = c_List_Orotate1(c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orotate1__is__Nil__conv_1) ).

fof(f399,axiom,
    ! [X15] : c_List_Olist_ONil = c_List_Obutlast(c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Obutlast_Osimps__1_0) ).

fof(f641,axiom,
    ! [X15] : c_List_Olist_ONil = c_List_Otl(c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otl_Osimps__1_0) ).

fof(f993,axiom,
    ! [X37] : c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OPls,X37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Pls_0) ).

fof(f969,axiom,
    c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).

fof(f1512,axiom,
    ! [X2] : c_UNIV = c_Union(c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__UNIV_0) ).

fof(f501,axiom,
    ! [X2] : c_UNIV = c_List_Olists(c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists__UNIV_0) ).

fof(f1482,axiom,
    ! [X2] : c_UNIV = c_Inter(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInter__empty_0) ).

fof(f1488,axiom,
    ! [X2] : c_UNIV = c_Pow(c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__UNIV_0) ).

fof(f1391,axiom,
    c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).

fof(f968,axiom,
    c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).

fof(f1572,axiom,
    ! [X2] : c_Relation_OId = c_Transitive__Closure_Ortrancl(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__empty_0) ).

fof(f241,axiom,
    ! [X12] : ~ c_less(c_IntDef_Oint(X12),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__less__0__conv_0) ).

fof(f1554,axiom,
    ! [X2,X29] : ~ c_less(X29,c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty_0) ).

fof(f172,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).

fof(f36,axiom,
    ! [X2,X16] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X16,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1_0) ).

fof(f37,axiom,
    ! [X2,X16] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X16,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2_0) ).

fof(f1688,axiom,
    ! [X2,X0] : c_in(X0,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).

fof(f89,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff_1) ).

fof(f342,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left_1) ).

fof(f1630,axiom,
    ! [X27] : c_Divides_Oop_Advd(c_1,X27,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).

fof(f1613,axiom,
    ! [X27] : c_Divides_Oop_Advd(X27,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).

fof(f1629,axiom,
    ! [X27] : c_Divides_Oop_Advd(X27,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).

fof(f92,axiom,
    ! [X27] : c_Divides_Oop_Advd(X27,X27,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__refl_0) ).

fof(f345,axiom,
    ! [X27] : c_Divides_Oop_Advd(X27,X27,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__refl_0) ).

fof(f906,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).

fof(f1654,axiom,
    ! [X13] : c_lessequals(c_0,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).

fof(f912,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).

fof(f879,axiom,
    c_Suc(c_0) = c_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).

fof(f237,axiom,
    c_0 = c_IntDef_Oint(c_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).

fof(f249,axiom,
    c_0 = c_IntDef_Onat(c_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).

fof(f234,axiom,
    c_1 = c_IntDef_Oint(c_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).

fof(f989,axiom,
    c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).

fof(f1018,axiom,
    c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).

fof(f997,axiom,
    c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).

fof(f953,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).

fof(f954,axiom,
    ! [X13] : ~ c_less(X13,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0_0) ).

fof(f1656,axiom,
    ! [X13] : ~ c_less(X13,X13,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).

fof(f1535,axiom,
    ! [X2,X28] : ~ c_in(X28,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).

fof(f572,axiom,
    ! [X0,X15] : ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oop_Amem_Osimps__1_0) ).

fof(f256,axiom,
    ! [X13] : ~ c_IntDef_Oneg(c_IntDef_Oint(X13),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onot__neg__int_0) ).

fof(f888,axiom,
    ! [X27] : c_0 != c_Suc(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc_0) ).

fof(f886,axiom,
    ! [X27] : c_0 != c_Suc(X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero_0) ).

fof(f414,axiom,
    ! [X15] : c_List_Odistinct(c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Odistinct_Osimps__1_0) ).

fof(f1713,axiom,
    ! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).

fof(f569,axiom,
    ! [X15] : c_List_Onull(c_List_Olist_ONil,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onull_Osimps__1_0) ).

fof(f1153,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).

fof(f1166,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).

fof(f1716,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).

fof(f1838,axiom,
    ! [X91] : class_Orderings_Oord(tc_set(X91)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_1) ).

fof(f1839,axiom,
    ! [X91] : class_Orderings_Oorder(tc_set(X91)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).

fof(f1173,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).

fof(f233,axiom,
    c_0 != c_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).

fof(f1492,axiom,
    c_emptyset != c_UNIV,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).

fof(f1022,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).

fof(f1023,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).

fof(f113,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).

fof(f114,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).

fof(f1801,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).

fof(f1723,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).

fof(f1808,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).

fof(f1726,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).

fof(f1809,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).

fof(f1727,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).

fof(f1800,axiom,
    class_Orderings_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).

fof(f1764,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).

fof(f1798,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).

fof(f1721,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).

fof(f1811,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).

fof(f1744,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).

fof(f1802,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).

fof(f1724,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).

fof(f1810,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).

fof(f1729,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).

fof(f1815,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).

fof(f1749,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).

fof(f1728,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).

fof(f1799,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).

fof(f1722,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).

fof(f1803,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).

fof(f1725,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).

fof(f1788,axiom,
    class_HOL_Oone(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).

fof(f1720,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).

fof(f1816,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).

fof(f1750,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).

fof(f1831,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).

fof(f1822,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).

fof(f1746,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).

fof(f1745,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).

fof(f1817,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).

fof(f1751,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).

fof(f1804,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).

fof(f1735,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).

fof(f1832,axiom,
    class_LOrder_Olorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).

fof(f1747,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).

fof(f1793,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).

fof(f1734,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).

fof(f1819,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).

fof(f1806,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).

fof(f1754,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).

fof(f1737,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).

fof(f1730,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).

fof(f1813,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).

fof(f1732,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).

fof(f1812,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).

fof(f1739,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).

fof(f1805,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).

fof(f1736,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).

fof(f1807,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).

fof(f1738,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).

fof(f1820,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).

fof(f1755,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).

fof(f1833,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).

fof(f1748,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).

fof(f1761,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).

fof(f1814,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).

fof(f1741,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).

fof(f1762,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).

fof(f1733,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).

fof(f1823,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).

fof(f1757,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).

fof(f1818,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).

fof(f1752,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).

fof(f1821,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).

fof(f1756,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).

fof(f1740,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).

fof(f1784,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).

fof(f1785,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).

fof(f1743,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).

fof(f1824,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).

fof(f1758,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).

fof(f1765,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).

fof(f1825,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).

fof(f1759,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).

fof(f1763,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).

fof(f1766,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).

fof(f1767,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).

fof(f1826,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).

fof(f1771,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).

fof(f1772,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).

fof(f1768,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).

fof(f1760,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).

fof(f1829,axiom,
    class_Numeral_Onumber(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).

fof(f1774,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).

fof(f1770,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).

fof(f1773,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).

fof(f1828,axiom,
    class_Power_Orecpower(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).

fof(f1779,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).

fof(f1776,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).

fof(f1834,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).

fof(f2750,axiom,
    c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2752,axiom,
    ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2751,axiom,
    c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LAT265-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 12:42:01 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (19410)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (19413)WARNING: value z3 for option sas not known
% 0.20/0.47  % (19414)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.47  % (19417)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)
% 0.20/0.47  % (19415)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)
% 0.20/0.47  % (19412)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.47  % (19413)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)
% 0.20/0.47  % (19416)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)
% 0.20/0.47  % (19411)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.49  % (19413)First to succeed.
% 0.20/0.49  % (19413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19410"
% 0.20/0.49  % (19413)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (19413)------------------------------
% 0.20/0.50  % (19413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50  % (19413)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (19413)Memory used [KB]: 2996
% 0.20/0.50  % (19413)Time elapsed: 0.026 s
% 0.20/0.50  % (19413)Instructions burned: 53 (million)
% 0.20/0.50  % (19410)Success in time 0.129 s
%------------------------------------------------------------------------------