TSTP Solution File: LAT260-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT260-1 : 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 : 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 : Tue Apr 30 13:21:05 EDT 2024

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :  373
% Syntax   : Number of formulae    :  374 ( 374 unt;   0 def)
%            Number of atoms       :  374 ( 211 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    :  134 ( 134 usr;  46 con; 0-5 aty)
%            Number of variables   :  340 ( 340   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2750,plain,
    $false,
    inference(global_subsumption,[],[f2748,f2747,f1821,f1763,f1766,f1815,f1760,f1757,f1761,f1816,f1747,f1755,f1759,f1758,f1813,f1754,f1753,f1750,f1746,f1812,f1752,f1745,f1811,f1730,f1772,f1771,f1727,f1743,f1808,f1739,f1805,f1744,f1810,f1720,f1749,f1728,f1801,f1748,f1735,f1820,f1742,f1807,f1725,f1794,f1723,f1792,f1726,f1799,f1719,f1800,f1717,f1741,f1724,f1806,f1793,f1721,f1780,f1734,f1819,f1722,f1791,f1738,f1804,f1733,f1732,f1809,f1818,f1737,f1803,f1707,f1775,f1712,f1790,f1709,f1786,f1715,f1736,f1802,f1716,f1797,f1711,f1789,f1731,f1798,f1708,f1785,f1751,f1787,f1714,f1796,f1713,f1795,f1710,f1788,f101,f100,f1009,f1010,f1479,f220,f1160,f1826,f1825,f1703,f1153,f1140,f556,f1700,f401,f873,f875,f243,f941,f940,f559,f1522,f1643,f984,f1005,f976,f221,f236,f224,f866,f329,f76,f1641,f893,f899,f332,f79,f1616,f1600,f1617,f1675,f23,f24,f159,f1541,f228,f1559,f955,f1378,f1475,f1469,f488,f1499,f956,f980,f386,f628,f586,f393,f635,f566,f568,f364,f579,f1417,f22,f1564,f1236,f1462,f1501,f603,f601,f15,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f535,f536,f537,f538,f534,f34,f104,f105,f1013,f1014,f716,f128,f194,f234,f14,f145,f965,f964,f146,f1621,f417,f897,f1601,f1605,f1689,f1548,f1678,f1550,f274,f227,f1642,f1644,f474,f473,f1537,f1523,f637,f539,f557,f2737,f1231,f1430,f1450,f1228,f1218,f1483,f1482,f362,f379,f478,f569,f612,f613,f591,f572,f624,f418,f623,f1426,f1487,f465,f97,f95,f1230,f1220,f1455,f1454,f314,f1194,f883,f10,f26,f448,f904,f903,f61,f324,f63,f339,f344,f80,f884,f906,f948,f341,f91,f891,f983,f963,f979,f1006,f975,f962,f11,f901,f900,f316,f282,f62,f952,f876,f950,f33,f32,f436,f419,f1489,f1488,f1452,f1451,f597,f384,f595,f382,f1484,f1453,f78,f2742,f200,f452,f937,f938,f1555,f481,f638,f640,f1437,f1518,f1438,f52,f1224,f717,f237,f81,f392,f241,f944,f914,f217,f13,f1399,f64,f1440,f31,f1498,f582,f103,f102,f98,f99,f1011,f1007,f1008,f1012,f1222,f238,f1193,f1619,f1618,f1603,f1602,f1683,f1534,f1638,f1667,f1672,f1622,f65,f890,f561,f244,f242,f1557,f1556,f387,f340,f27,f1394,f1384,f982,f1003,f715,f147,f148,f158,f1510,f438,f629,f429,f1229,f1219,f1227,f1221,f17,f2744]) ).

fof(f2744,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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f17,axiom,
    ! [X3,X11] : c_in(X11,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X11,X3),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s_1) ).

fof(f1221,axiom,
    ! [X3,X8,X17] : c_Relation_Orel__comp(c_Relation_OId,X8,X17,X17,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OId__O__R_0) ).

fof(f1227,axiom,
    ! [X3,X8,X17] : c_Relation_Orel__comp(X8,c_Relation_OId,X3,X17,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OR__O__Id_0) ).

fof(f1219,axiom,
    ! [X3,X8] : c_Relation_ODomain(c_Relation_Odiag(X8,X3),X3,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomain__diag_0) ).

fof(f1229,axiom,
    ! [X3,X8] : c_Relation_ORange(c_Relation_Odiag(X8,X3),X3,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORange__diag_0) ).

fof(f429,axiom,
    ! [X41,X3,X8] : c_List_Ohd(c_List_Olist_OCons(X8,X41,X3),X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ohd_Osimps_0) ).

fof(f629,axiom,
    ! [X11,X8,X13] : c_List_Otl(c_List_Olist_OCons(X11,X8,X13),X13) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Otl_Osimps__2_0) ).

fof(f438,axiom,
    ! [X3,X11] : c_List_Olast(c_List_Olist_OCons(X11,c_List_Olist_ONil,X3),X3) = X11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olast_Osimps_0) ).

fof(f1510,axiom,
    ! [X3,X8] : c_Set_Ocontents(c_insert(X8,c_emptyset,X3),X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Ocontents__eq_0) ).

fof(f158,axiom,
    ! [X8] : c_GCD_Ogcd(c_Pair(X8,X8,tc_nat,tc_nat)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__self_0) ).

fof(f148,axiom,
    ! [X8] : c_GCD_Ogcd(c_Pair(c_0,X8,tc_nat,tc_nat)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__0__left_0) ).

fof(f147,axiom,
    ! [X8] : c_GCD_Ogcd(c_Pair(X8,c_0,tc_nat,tc_nat)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__0_0) ).

fof(f715,axiom,
    ! [X35] : c_IntDef_Onat(c_Numeral_Onumber__of(X35,tc_IntDef_Oint)) = c_Numeral_Onumber__of(X35,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__number__of_0) ).

fof(f1003,axiom,
    ! [X35] : c_Numeral_OBit(X35,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OBit(X35,c_Numeral_Obit_OB0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__0_0) ).

fof(f982,axiom,
    ! [X35] : c_Numeral_OBit(X35,c_Numeral_Obit_OB0) = c_Numeral_Obin__pred(c_Numeral_OBit(X35,c_Numeral_Obit_OB1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__1_0) ).

fof(f1384,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).

fof(f1394,axiom,
    ! [X38] : c_Suc(X38) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X38,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).

fof(f27,axiom,
    ! [X3,X15] : c_0 = c_Nat_Osize(c_Datatype_Ooption_OSome(X15,X3),tc_Datatype_Ooption(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Osize__2_0) ).

fof(f340,axiom,
    ! [X15] : c_0 = c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__minus1__right_0) ).

fof(f387,axiom,
    ! [X11,X13] : c_List_Olist_ONil = c_List_Obutlast(c_List_Olist_OCons(X11,c_List_Olist_ONil,X13),X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Obutlast_Osimps__2_0) ).

fof(f1556,axiom,
    ! [X3,X79] : c_UNIV = c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X79,X3),X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_ODomain__rtrancl_0) ).

fof(f1557,axiom,
    ! [X3,X79] : c_UNIV = c_Relation_ORange(c_Transitive__Closure_Ortrancl(X79,X3),X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_ORange__rtrancl_0) ).

fof(f242,axiom,
    ! [X10,X25] : ~ c_less(c_IntDef_Oint(X10),c_uminus(c_IntDef_Oint(X25),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onot__int__zless__negative_0) ).

fof(f244,axiom,
    ! [X10] : ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X10)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onot__zle__0__negative_0) ).

fof(f561,axiom,
    ! [X3,X11,X42] : c_List_Oop_Amem(X11,c_List_Olist_OCons(X11,X42,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oop_Amem_Osimps__2_1) ).

fof(f890,axiom,
    ! [X10,X25] : c_lessequals(c_minus(X25,X10,tc_nat),X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__le__self_0) ).

fof(f65,axiom,
    ! [X10,X25] : c_lessequals(c_div(X25,X10,tc_nat),X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odiv__le__dividend_0) ).

fof(f1622,axiom,
    ! [X41,X3] : c_in(c_List_Oset(X41,X3),c_Finite__Set_OFinites,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).

fof(f1672,axiom,
    ! [X9] : c_in(c_SetInterval_OlessThan(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).

fof(f1667,axiom,
    ! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).

fof(f1638,axiom,
    ! [X3,X27] : c_in(c_List_Olist_ONil,c_List_Olists(X27,X3),tc_List_Olist(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).

fof(f1534,axiom,
    ! [X3,X11,X27] : c_in(X11,c_insert(X11,X27,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).

fof(f1683,axiom,
    ! [X3,X15] : c_in(X15,c_insert(X15,c_emptyset,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonI_0) ).

fof(f1602,axiom,
    ! [X9,X25] : c_Divides_Oop_Advd(X9,c_times(X9,X25,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).

fof(f1603,axiom,
    ! [X9,X25] : c_Divides_Oop_Advd(X9,c_times(X25,X9,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).

fof(f1618,axiom,
    ! [X9,X25] : c_Divides_Oop_Advd(X9,c_times(X9,X25,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).

fof(f1619,axiom,
    ! [X9,X25] : c_Divides_Oop_Advd(X9,c_times(X25,X9,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).

fof(f1193,axiom,
    ! [X11] : c_less(c_0,c_Nat_Opower(X11,c_0,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).

fof(f238,axiom,
    ! [X10] : c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X10)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oneg__zminus__int_0) ).

fof(f1222,axiom,
    ! [X3,X8] : c_Relation_OImage(c_Relation_OId,X8,X3,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__Id_0) ).

fof(f1012,axiom,
    ! [X3,X29,X8] : c_Numeral_Obit_Obit__rec(X29,X8,c_Numeral_Obit_OB1,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Orecs__2_0) ).

fof(f1008,axiom,
    ! [X3,X29,X8] : c_Numeral_Obit_Obit__case(X29,X8,c_Numeral_Obit_OB1,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Ocases__2_0) ).

fof(f1007,axiom,
    ! [X28,X3,X8] : c_Numeral_Obit_Obit__case(X8,X28,c_Numeral_Obit_OB0,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Ocases__1_0) ).

fof(f1011,axiom,
    ! [X28,X3,X8] : c_Numeral_Obit_Obit__rec(X8,X28,c_Numeral_Obit_OB0,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Orecs__1_0) ).

fof(f99,axiom,
    ! [X3,X29,X8] : c_Extraction_Osumbool_Osumbool__case(X29,X8,c_Extraction_Osumbool_ORight,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Ocases__2_0) ).

fof(f98,axiom,
    ! [X28,X3,X8] : c_Extraction_Osumbool_Osumbool__case(X8,X28,c_Extraction_Osumbool_OLeft,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Ocases__1_0) ).

fof(f102,axiom,
    ! [X28,X3,X8] : c_Extraction_Osumbool_Osumbool__rec(X8,X28,c_Extraction_Osumbool_OLeft,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Orecs__1_0) ).

fof(f103,axiom,
    ! [X3,X29,X8] : c_Extraction_Osumbool_Osumbool__rec(X29,X8,c_Extraction_Osumbool_ORight,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Orecs__2_0) ).

fof(f582,axiom,
    ! [X3,X8] : c_List_Orev(c_List_Orev(X8,X3),X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__rev__ident_0) ).

fof(f1498,axiom,
    ! [X3,X8] : c_Union(c_Pow(X8,X3),X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__Pow__eq_0) ).

fof(f31,axiom,
    ! [X3,X8] : c_Datatype_Othe(c_Datatype_Ooption_OSome(X8,X3),X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Othe_Osimps_0) ).

fof(f1440,axiom,
    ! [X3,X8] : c_minus(X8,c_emptyset,tc_set(X3)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__empty_0) ).

fof(f64,axiom,
    ! [X8] : c_div(X8,c_Suc(c_0),tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odiv__1_0) ).

fof(f1399,axiom,
    ! [X8] : c_Finite__Set_Ocard(c_SetInterval_OlessThan(X8,tc_nat),tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__lessThan_0) ).

fof(f13,axiom,
    ! [X10] : c_Suc(X10) = c_Binomial_Obinomial(c_Suc(X10),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__n_0) ).

fof(f217,axiom,
    ! [X25] : c_IntDef_Oint(X25) = c_HOL_Oabs(c_IntDef_Oint(X25),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oabs__int__eq_0) ).

fof(f914,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).

fof(f944,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).

fof(f241,axiom,
    c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).

fof(f392,axiom,
    ! [X48,X47] : c_0 = c_Nat_Osize(c_List_Ochar_OChar(X47,X48),tc_List_Ochar),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Osize_0) ).

fof(f81,axiom,
    ! [X25] : c_0 = c_Divides_Oop_Amod(X25,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__1_0) ).

fof(f237,axiom,
    ! [X10] : c_0 = c_IntDef_Onat(c_uminus(c_IntDef_Oint(X10),tc_IntDef_Oint)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zminus__int_0) ).

fof(f717,axiom,
    c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).

fof(f1224,axiom,
    ! [X3,X79,X17] : c_emptyset = c_Relation_OImage(X79,c_emptyset,X17,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__empty_0) ).

fof(f52,axiom,
    ! [X3,X18,X17] : c_emptyset = c_Datatype__Universe_Ontrunc(c_0,X18,X3,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ontrunc__0_0) ).

fof(f1438,axiom,
    ! [X3,X27] : c_emptyset = c_minus(X27,X27,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).

fof(f1518,axiom,
    ! [X3,X27] : c_emptyset = c_minus(c_emptyset,X27,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__Diff_0) ).

fof(f1437,axiom,
    ! [X3,X27] : c_emptyset = c_minus(X27,c_UNIV,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__UNIV_0) ).

fof(f640,axiom,
    ! [X3,X17,X42] : c_List_Olist_ONil = c_List_Ozip(c_List_Olist_ONil,X42,X3,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ozip__Nil_0) ).

fof(f638,axiom,
    ! [X41,X76,X13] : c_List_Olist_ONil = c_List_Ozip(X41,c_List_Olist_ONil,X13,X76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ozip_Osimps__1_0) ).

fof(f481,axiom,
    ! [X36,X24,X13] : c_List_Olist_ONil = c_List_Olist__update(c_List_Olist_ONil,X24,X36,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist__update_Osimps__1_0) ).

fof(f1555,axiom,
    ! [X3,X17] : c_UNIV = c_Sum__Type_OPlus(c_UNIV,c_UNIV,X3,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OUNIV__Plus__UNIV_0) ).

fof(f938,axiom,
    ! [X52,X24] : ~ c_less(c_plus(X52,X24,tc_nat),X24,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).

fof(f937,axiom,
    ! [X52,X24] : ~ c_less(c_plus(X24,X52,tc_nat),X24,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1_0) ).

fof(f452,axiom,
    ! [X3] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X3)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv_0) ).

fof(f200,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).

fof(f2742,axiom,
    c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0) ).

fof(f78,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).

fof(f1453,axiom,
    ! [X3,X8] : c_inter(X8,X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__absorb_0) ).

fof(f1484,axiom,
    ! [X3,X8] : c_union(X8,X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).

fof(f382,axiom,
    ! [X3,X42] : c_append(c_List_Olist_ONil,X42,X3) = X42,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2_1) ).

fof(f595,axiom,
    ! [X3,X42] : c_append(c_List_Olist_ONil,X42,X3) = X42,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2_1) ).

fof(f384,axiom,
    ! [X41,X3] : c_append(X41,c_List_Olist_ONil,X3) = X41,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv_1) ).

fof(f597,axiom,
    ! [X41,X3] : c_append(X41,c_List_Olist_ONil,X3) = X41,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv_1) ).

fof(f1451,axiom,
    ! [X3,X8] : c_inter(c_UNIV,X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__left_0) ).

fof(f1452,axiom,
    ! [X3,X8] : c_inter(X8,c_UNIV,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__right_0) ).

fof(f1488,axiom,
    ! [X3,X8] : c_union(c_emptyset,X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).

fof(f1489,axiom,
    ! [X3,X8] : c_union(X8,c_emptyset,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).

fof(f419,axiom,
    ! [X3,X8] : c_List_Odrop(c_0,X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Odrop__0_0) ).

fof(f436,axiom,
    ! [X8,X13] : c_List_Oitrev(c_List_Olist_ONil,X8,X13) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oitrev_Osimps__1_0) ).

fof(f32,axiom,
    ! [X3,X8] : c_Datatype_Ounit_Ounit__case(X8,c_Product__Type_OUnity,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Ocases_0) ).

fof(f33,axiom,
    ! [X3,X8] : c_Datatype_Ounit_Ounit__rec(X8,c_Product__Type_OUnity,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Orecs_0) ).

fof(f950,axiom,
    ! [X8] : c_plus(c_0,X8,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).

fof(f876,axiom,
    ! [X8] : c_plus(X8,c_0,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).

fof(f952,axiom,
    ! [X8] : c_minus(X8,c_0,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_N_Odiff__0_0) ).

fof(f62,axiom,
    ! [X8] : c_Divides_Oop_Amod(X8,c_0,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_ODIVISION__BY__ZERO__MOD_0) ).

fof(f282,axiom,
    ! [X8] : c_Divides_Oop_Amod(X8,c_0,tc_IntDef_Oint) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_ODIVISION__BY__ZERO_0) ).

fof(f316,axiom,
    ! [X8] : c_div(X8,c_1,tc_IntDef_Oint) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdiv__1_0) ).

fof(f900,axiom,
    ! [X8] : c_Orderings_Omax(c_0,X8,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omax__0L_0) ).

fof(f901,axiom,
    ! [X8] : c_Orderings_Omax(X8,c_0,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omax__0R_0) ).

fof(f11,axiom,
    ! [X8] : c_Binomial_Obinomial(X8,c_Suc(c_0)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).

fof(f962,axiom,
    ! [X35] : c_Numeral_Obin__add(c_Numeral_OMin,X35) = c_Numeral_Obin__pred(X35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).

fof(f975,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).

fof(f1006,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).

fof(f979,axiom,
    ! [X35] : c_Numeral_Obin__minus(X35) = c_Numeral_Obin__mult(c_Numeral_OMin,X35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).

fof(f963,axiom,
    ! [X35] : c_Numeral_Obin__pred(X35) = c_Numeral_Obin__add(X35,c_Numeral_OMin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).

fof(f983,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).

fof(f891,axiom,
    ! [X25] : c_0 = c_minus(X25,X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).

fof(f91,axiom,
    ! [X10] : c_0 = c_Divides_Oop_Amod(X10,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__self_0) ).

fof(f341,axiom,
    ! [X15] : c_0 = c_Divides_Oop_Amod(X15,X15,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__self_0) ).

fof(f948,axiom,
    ! [X10] : c_0 = c_times(c_0,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__0_0) ).

fof(f906,axiom,
    ! [X25] : c_0 = c_times(X25,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__0__right_0) ).

fof(f884,axiom,
    ! [X10] : c_0 = c_minus(c_0,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__0__eq__0_0) ).

fof(f80,axiom,
    ! [X25] : c_0 = c_Divides_Oop_Amod(c_0,X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__0_0) ).

fof(f344,axiom,
    ! [X16] : c_0 = c_Divides_Oop_Amod(c_0,X16,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__zero_0) ).

fof(f339,axiom,
    ! [X15] : c_0 = c_Divides_Oop_Amod(X15,c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__1_0) ).

fof(f63,axiom,
    ! [X25] : c_0 = c_div(c_0,X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odiv__0_0) ).

fof(f324,axiom,
    ! [X16] : c_0 = c_div(c_0,X16,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdiv__zero_0) ).

fof(f61,axiom,
    ! [X15] : c_0 = c_div(X15,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_ODIVISION__BY__ZERO__DIV_0) ).

fof(f903,axiom,
    ! [X10] : c_0 = c_Orderings_Omin(c_0,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omin__0L_0) ).

fof(f904,axiom,
    ! [X10] : c_0 = c_Orderings_Omin(X10,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omin__0R_0) ).

fof(f448,axiom,
    ! [X3] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv_1) ).

fof(f26,axiom,
    ! [X3] : c_0 = c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Osize__1_0) ).

fof(f10,axiom,
    ! [X9] : c_0 = c_Binomial_Obinomial(c_0,c_Suc(X9)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__0__Suc_0) ).

fof(f883,axiom,
    c_0 = c_plus(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_2) ).

fof(f1194,axiom,
    ! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).

fof(f314,axiom,
    ! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).

fof(f1454,axiom,
    ! [X31,X3] : c_emptyset = c_inter(c_emptyset,X31,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__empty__left_0) ).

fof(f1455,axiom,
    ! [X3,X27] : c_emptyset = c_inter(X27,c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__empty__right_0) ).

fof(f1220,axiom,
    ! [X3,X17] : c_emptyset = c_Relation_ODomain(c_emptyset,X3,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomain__empty_0) ).

fof(f1230,axiom,
    ! [X3,X17] : c_emptyset = c_Relation_ORange(c_emptyset,X17,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORange__empty_0) ).

fof(f95,axiom,
    ! [X3,X20] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X20,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2_1) ).

fof(f97,axiom,
    ! [X3,X20] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X20,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty_1) ).

fof(f465,axiom,
    ! [X13,X20] : c_emptyset = c_List_Olexn(X20,c_0,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olexn_Osimps__1_0) ).

fof(f1487,axiom,
    ! [X3] : c_emptyset = c_union(c_emptyset,c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty_2) ).

fof(f1426,axiom,
    ! [X3] : c_emptyset = c_uminus(c_UNIV,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__UNIV__eq_0) ).

fof(f623,axiom,
    ! [X41,X3] : c_List_Olist_ONil = c_List_Otake(c_0,X41,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Otake__eq__Nil_1) ).

fof(f418,axiom,
    ! [X10,X13] : c_List_Olist_ONil = c_List_Odrop(X10,c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Odrop_Odrop__Nil_0) ).

fof(f624,axiom,
    ! [X3,X10] : c_List_Olist_ONil = c_List_Otake(X10,c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Otake__eq__Nil_2) ).

fof(f572,axiom,
    ! [X11,X13] : c_List_Olist_ONil = c_List_Oreplicate(c_0,X11,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oreplicate_Oreplicate__0_0) ).

fof(f591,axiom,
    ! [X3,X10] : c_List_Olist_ONil = c_List_Orotate(X10,c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orotate__is__Nil__conv_1) ).

fof(f613,axiom,
    ! [X3,X27] : c_List_Olist_ONil = c_List_Osublist(c_List_Olist_ONil,X27,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osublist__nil_0) ).

fof(f612,axiom,
    ! [X41,X3] : c_List_Olist_ONil = c_List_Osublist(X41,c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osublist__empty_0) ).

fof(f569,axiom,
    ! [X11,X13] : c_List_Olist_ONil = c_List_Oremove1(X11,c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oremove1_Osimps__1_0) ).

fof(f478,axiom,
    ! [X58,X13] : c_List_Olist_ONil = c_List_Olist__inter(c_List_Olist_ONil,X58,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist__inter_Osimps__1_0) ).

fof(f379,axiom,
    ! [X3] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv_2) ).

fof(f362,axiom,
    ! [X3] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv_2) ).

fof(f1482,axiom,
    ! [X31,X3] : c_UNIV = c_union(c_UNIV,X31,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__left_0) ).

fof(f1483,axiom,
    ! [X3,X27] : c_UNIV = c_union(X27,c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__right_0) ).

fof(f1218,axiom,
    ! [X3] : c_UNIV = c_Relation_ODomain(c_Relation_OId,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomain__Id_0) ).

fof(f1228,axiom,
    ! [X3] : c_UNIV = c_Relation_ORange(c_Relation_OId,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORange__Id_0) ).

fof(f1450,axiom,
    ! [X3] : c_UNIV = c_inter(c_UNIV,c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__UNIV_2) ).

fof(f1430,axiom,
    ! [X3] : c_UNIV = c_uminus(c_emptyset,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__empty__eq_0) ).

fof(f1231,axiom,
    ! [X3] : c_Relation_OId = c_Relation_Oconverse(c_Relation_OId,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oconverse__Id_0) ).

fof(f2737,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f557,axiom,
    ! [X41,X11,X13] : ~ c_List_Onull(c_List_Olist_OCons(X11,X41,X13),X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onull_Osimps__2_0) ).

fof(f539,axiom,
    ! [X41,X3,X11] : c_List_Olist_OCons(X11,X41,X3) != X41,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onot__Cons__self_0) ).

fof(f637,axiom,
    ! [X3,X11,X75] : c_List_Olist_OCons(X11,X75,X3) != X75,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0) ).

fof(f1523,axiom,
    ! [X3,X27,X15] : c_emptyset != c_insert(X15,X27,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).

fof(f1537,axiom,
    ! [X3,X27,X15] : c_emptyset != c_insert(X15,X27,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__not__empty_0) ).

fof(f473,axiom,
    ! [X3,X56,X14] : c_List_Olist_ONil != c_List_Olist_OCons(X14,X56,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).

fof(f474,axiom,
    ! [X3,X56,X14] : c_List_Olist_ONil != c_List_Olist_OCons(X14,X56,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2_0) ).

fof(f1644,axiom,
    ! [X10] : c_less(c_0,c_Suc(X10),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).

fof(f1642,axiom,
    ! [X10] : c_less(X10,c_Suc(X10),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).

fof(f227,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).

fof(f274,axiom,
    ! [X10] : c_lessequals(c_0,c_IntDef_Oint(X10),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Ozero__zle__int_0) ).

fof(f1550,axiom,
    ! [X3] : c_lessequals(c_emptyset,c_emptyset,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__empty_1) ).

fof(f1678,axiom,
    ! [X3,X27] : c_lessequals(c_emptyset,X27,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).

fof(f1548,axiom,
    ! [X3,X27] : c_lessequals(X27,c_UNIV,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__UNIV_0) ).

fof(f1689,axiom,
    ! [X3,X27] : c_lessequals(X27,X27,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1605,axiom,
    ! [X3] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).

fof(f1601,axiom,
    ! [X9] : c_Divides_Oop_Advd(c_Suc(c_0),X9,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).

fof(f897,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).

fof(f417,axiom,
    ! [X52,X24] : c_List_Odistinct(c_List_Oupt(X24,X52),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Odistinct__upt_0) ).

fof(f1621,axiom,
    ! [X41,X3] : c_List_Odistinct(c_List_Oremdups(X41,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Odistinct__remdups_0) ).

fof(f146,axiom,
    ! [X3,X8] : c_Fun_Oid(X8,X3) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fun_Oid__apply_0) ).

fof(f964,axiom,
    ! [X8] : c_Numeral_Obin__add(c_Numeral_OPls,X8) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Pls_0) ).

fof(f965,axiom,
    ! [X8] : c_Numeral_Obin__add(X8,c_Numeral_OPls) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Pls__right_0) ).

fof(f145,axiom,
    ! [X8] : c_NatArith_Oof__nat(X8,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Oof__nat__id_0) ).

fof(f14,axiom,
    ! [X10] : c_Binomial_Obinomial(X10,c_0) = c_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).

fof(f234,axiom,
    ! [X8] : c_IntDef_Onat(c_IntDef_Oint(X8)) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__int_0) ).

fof(f194,axiom,
    c_Suc(c_0) = c_IntDef_Onat(c_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).

fof(f128,axiom,
    ! [X3] : c_0 = c_Finite__Set_Ocard(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ocard__empty_0) ).

fof(f716,axiom,
    c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).

fof(f1014,axiom,
    c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).

fof(f1013,axiom,
    c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).

fof(f105,axiom,
    c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).

fof(f104,axiom,
    c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).

fof(f34,axiom,
    c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).

fof(f534,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).

fof(f538,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).

fof(f537,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).

fof(f536,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).

fof(f535,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).

fof(f533,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).

fof(f532,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).

fof(f531,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).

fof(f530,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).

fof(f529,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).

fof(f528,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).

fof(f527,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).

fof(f526,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).

fof(f525,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).

fof(f524,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).

fof(f523,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).

fof(f15,axiom,
    ! [X10] : c_1 = c_Binomial_Obinomial(X10,X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__n_0) ).

fof(f601,axiom,
    ! [X3] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2_1) ).

fof(f603,axiom,
    ! [X3] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty_1) ).

fof(f1501,axiom,
    ! [X3] : c_emptyset = c_Union(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__empty_0) ).

fof(f1462,axiom,
    ! [X3] : c_emptyset = c_Inter(c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInter__UNIV_0) ).

fof(f1236,axiom,
    ! [X3] : c_emptyset = c_Relation_Odiag(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Odiag__empty_0) ).

fof(f1564,axiom,
    ! [X3] : c_emptyset = c_Transitive__Closure_Otrancl(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__empty_0) ).

fof(f22,axiom,
    ! [X3] : c_emptyset = c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oo2s__empty__eq_1) ).

fof(f1417,axiom,
    c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).

fof(f579,axiom,
    ! [X3] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv_1) ).

fof(f364,axiom,
    ! [X3] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv_1) ).

fof(f568,axiom,
    ! [X3] : c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oremdups__eq__nil__right__iff_1) ).

fof(f566,axiom,
    ! [X3] : c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oremdups__eq__nil__iff_1) ).

fof(f635,axiom,
    ! [X24] : c_List_Olist_ONil = c_List_Oupt(X24,c_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oupt__eq__Nil__conv_1) ).

fof(f393,axiom,
    ! [X13] : c_List_Olist_ONil = c_List_Oconcat(c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oconcat_Osimps__1_0) ).

fof(f586,axiom,
    ! [X3] : c_List_Olist_ONil = c_List_Orotate1(c_List_Olist_ONil,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orotate1__is__Nil__conv_1) ).

fof(f628,axiom,
    ! [X13] : c_List_Olist_ONil = c_List_Otl(c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Otl_Osimps__1_0) ).

fof(f386,axiom,
    ! [X13] : c_List_Olist_ONil = c_List_Obutlast(c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Obutlast_Osimps__1_0) ).

fof(f980,axiom,
    ! [X35] : c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OPls,X35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Pls_0) ).

fof(f956,axiom,
    c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).

fof(f1499,axiom,
    ! [X3] : c_UNIV = c_Union(c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__UNIV_0) ).

fof(f488,axiom,
    ! [X3] : c_UNIV = c_List_Olists(c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists__UNIV_0) ).

fof(f1469,axiom,
    ! [X3] : c_UNIV = c_Inter(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInter__empty_0) ).

fof(f1475,axiom,
    ! [X3] : c_UNIV = c_Pow(c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__UNIV_0) ).

fof(f1378,axiom,
    c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).

fof(f955,axiom,
    c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).

fof(f1559,axiom,
    ! [X3] : c_Relation_OId = c_Transitive__Closure_Ortrancl(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__empty_0) ).

fof(f228,axiom,
    ! [X9] : ~ c_less(c_IntDef_Oint(X9),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__less__0__conv_0) ).

fof(f1541,axiom,
    ! [X3,X27] : ~ c_less(X27,c_emptyset,tc_set(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty_0) ).

fof(f159,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).

fof(f24,axiom,
    ! [X3,X14] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X14,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2_0) ).

fof(f23,axiom,
    ! [X3,X14] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X14,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1_0) ).

fof(f1675,axiom,
    ! [X3,X11] : c_in(X11,c_UNIV,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).

fof(f1617,axiom,
    ! [X25] : c_Divides_Oop_Advd(c_1,X25,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).

fof(f1600,axiom,
    ! [X25] : c_Divides_Oop_Advd(X25,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).

fof(f1616,axiom,
    ! [X25] : c_Divides_Oop_Advd(X25,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).

fof(f79,axiom,
    ! [X25] : c_Divides_Oop_Advd(X25,X25,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__refl_0) ).

fof(f332,axiom,
    ! [X25] : c_Divides_Oop_Advd(X25,X25,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__refl_0) ).

fof(f899,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).

fof(f893,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).

fof(f1641,axiom,
    ! [X10] : c_lessequals(c_0,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).

fof(f76,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff_1) ).

fof(f329,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left_1) ).

fof(f866,axiom,
    c_Suc(c_0) = c_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).

fof(f224,axiom,
    c_0 = c_IntDef_Oint(c_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).

fof(f236,axiom,
    c_0 = c_IntDef_Onat(c_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).

fof(f221,axiom,
    c_1 = c_IntDef_Oint(c_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).

fof(f976,axiom,
    c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).

fof(f1005,axiom,
    c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).

fof(f984,axiom,
    c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).

fof(f1643,axiom,
    ! [X10] : ~ c_less(X10,X10,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).

fof(f1522,axiom,
    ! [X3,X26] : ~ c_in(X26,c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).

fof(f559,axiom,
    ! [X11,X13] : ~ c_List_Oop_Amem(X11,c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oop_Amem_Osimps__1_0) ).

fof(f940,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).

fof(f941,axiom,
    ! [X10] : ~ c_less(X10,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0_0) ).

fof(f243,axiom,
    ! [X10] : ~ c_IntDef_Oneg(c_IntDef_Oint(X10),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onot__neg__int_0) ).

fof(f875,axiom,
    ! [X25] : c_0 != c_Suc(X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc_0) ).

fof(f873,axiom,
    ! [X25] : c_0 != c_Suc(X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero_0) ).

fof(f401,axiom,
    ! [X13] : c_List_Odistinct(c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Odistinct_Osimps__1_0) ).

fof(f1700,axiom,
    ! [X3] : c_Wellfounded__Recursion_Owf(c_emptyset,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).

fof(f556,axiom,
    ! [X13] : c_List_Onull(c_List_Olist_ONil,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onull_Osimps__1_0) ).

fof(f1140,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).

fof(f1153,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).

fof(f1703,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).

fof(f1825,axiom,
    ! [X90] : class_Orderings_Oord(tc_set(X90)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).

fof(f1826,axiom,
    ! [X90] : class_Orderings_Oorder(tc_set(X90)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).

fof(f1160,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).

fof(f220,axiom,
    c_0 != c_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).

fof(f1479,axiom,
    c_emptyset != c_UNIV,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).

fof(f1010,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).

fof(f1009,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).

fof(f100,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).

fof(f101,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).

fof(f1788,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).

fof(f1710,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).

fof(f1795,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).

fof(f1713,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).

fof(f1796,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).

fof(f1714,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).

fof(f1787,axiom,
    class_Orderings_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).

fof(f1751,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).

fof(f1785,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).

fof(f1708,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).

fof(f1798,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).

fof(f1731,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).

fof(f1789,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).

fof(f1711,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).

fof(f1797,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).

fof(f1716,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).

fof(f1802,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).

fof(f1736,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).

fof(f1715,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).

fof(f1786,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).

fof(f1709,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).

fof(f1790,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).

fof(f1712,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).

fof(f1775,axiom,
    class_HOL_Oone(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).

fof(f1707,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).

fof(f1803,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).

fof(f1737,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).

fof(f1818,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).

fof(f1809,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).

fof(f1732,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).

fof(f1733,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).

fof(f1804,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).

fof(f1738,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).

fof(f1791,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).

fof(f1722,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).

fof(f1819,axiom,
    class_LOrder_Olorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).

fof(f1734,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).

fof(f1780,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).

fof(f1721,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).

fof(f1793,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_25) ).

fof(f1806,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).

fof(f1724,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).

fof(f1741,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).

fof(f1717,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).

fof(f1800,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).

fof(f1719,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).

fof(f1799,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).

fof(f1726,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).

fof(f1792,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).

fof(f1723,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).

fof(f1794,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).

fof(f1725,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).

fof(f1807,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).

fof(f1742,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).

fof(f1820,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).

fof(f1735,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).

fof(f1748,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).

fof(f1801,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).

fof(f1728,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).

fof(f1749,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).

fof(f1720,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).

fof(f1810,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).

fof(f1744,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).

fof(f1805,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).

fof(f1739,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).

fof(f1808,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).

fof(f1743,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).

fof(f1727,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).

fof(f1771,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).

fof(f1772,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).

fof(f1730,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).

fof(f1811,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).

fof(f1745,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).

fof(f1752,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).

fof(f1812,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).

fof(f1746,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).

fof(f1750,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).

fof(f1753,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).

fof(f1754,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).

fof(f1813,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).

fof(f1758,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).

fof(f1759,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).

fof(f1755,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).

fof(f1747,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).

fof(f1816,axiom,
    class_Numeral_Onumber(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).

fof(f1761,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).

fof(f1757,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).

fof(f1760,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).

fof(f1815,axiom,
    class_Power_Orecpower(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).

fof(f1766,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).

fof(f1763,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).

fof(f1821,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).

fof(f2747,axiom,
    c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2748,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LAT260-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 21:42:57 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (15388)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (15391)WARNING: value z3 for option sas not known
% 0.21/0.49  % (15393)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)
% 0.21/0.49  % (15392)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.49  % (15391)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)
% 0.21/0.49  % (15389)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.49  % (15394)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)
% 0.21/0.50  % (15390)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.51  % (15391)First to succeed.
% 0.21/0.51  % (15395)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)
% 0.21/0.52  % (15391)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (15391)------------------------------
% 0.21/0.52  % (15391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52  % (15391)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (15391)Memory used [KB]: 2977
% 0.21/0.52  % (15391)Time elapsed: 0.029 s
% 0.21/0.52  % (15391)Instructions burned: 53 (million)
% 0.21/0.52  % (15391)------------------------------
% 0.21/0.52  % (15391)------------------------------
% 0.21/0.52  % (15388)Success in time 0.15 s
%------------------------------------------------------------------------------