TSTP Solution File: SET837-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET837-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 21 03:24:12 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 452 ( 12 unt; 0 def)
% Number of atoms : 1393 ( 74 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1463 ( 522 ~; 929 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 545 ( 545 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1745,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f44,f53,f158,f553,f758,f764,f779,f806,f1461,f1723,f1731,f1733]) ).
fof(f1733,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1732,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f61,f25,f68,f69,f70,f73,f71,f76,f72,f81,f75,f85,f78,f87,f88,f74,f26,f93,f94,f95,f96,f97,f100,f98,f103,f99,f108,f102,f111,f112,f113,f105,f115,f116,f117,f77,f101,f104,f79,f106,f60,f136,f135,f123,f124,f133,f132,f128,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f171,f172,f173,f176,f178,f180,f177,f181,f84,f262,f260,f265,f266,f274,f272,f134,f290,f289,f283,f284,f287,f295,f294,f288,f328,f332,f282,f364,f363,f365,f366,f137,f418,f417,f416,f407,f408,f409,f415,f426,f425,f395,f469,f466,f468,f475,f474,f122,f533,f532,f531,f529,f528,f536,f523,f517,f518,f368,f555,f556,f557,f554,f606,f21,f6,f1463,f1464,f1465,f1466,f1467,f1468,f2,f1469,f335,f23,f16,f157,f1475,f1476,f1489,f1491,f369,f1496,f1508,f1462,f1517,f1518,f292,f1519,f1531,f423,f1539,f1549,f472,f1558,f1568,f781,f1579,f1584,f1581,f1582,f1472,f1587,f1588,f1593,f1590,f1591,f1577,f1597,f1600,f1598,f1605,f1601,f1610,f1611,f1612,f1606,f1617,f1618,f1619,f1586,f1627,f1631,f1628,f1637,f1632,f1642,f1643,f1644,f1638,f1649,f1650,f1651,f1477,f1656,f1657,f1658,f1486,f1671,f1668,f1487,f1686,f1683,f1578,f1718,f1717,f1716,f1715,f1714,f1713,f1721,f1708,f1702]) ).
fof(f1702,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,c_union(X0,X1,t_a),t_a),X2,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,c_union(X0,X1,t_a),t_a),X2,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,c_union(X0,X1,t_a),t_a),X2,t_a),X1,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Y,c_union(X0,X1,t_a),t_a),X2,t_a),X0,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f9]) ).
fof(f1708,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1701]) ).
fof(f1701,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f1578,f1472]) ).
fof(f1721,plain,
( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1711,f12]) ).
fof(f1711,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),v_X,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1698]) ).
fof(f1698,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),v_X,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f1578,f1486]) ).
fof(f1713,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X1,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1696]) ).
fof(f1696,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X1,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f26]) ).
fof(f1714,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X0,X1,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X0,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1695]) ).
fof(f1695,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X0,X1,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X0,X1,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X0,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f25]) ).
fof(f1715,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1694]) ).
fof(f1694,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X0,tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f12]) ).
fof(f1716,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X1,v_X,t_a),t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1693]) ).
fof(f1693,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(X1,v_X,t_a),t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,v_X,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f26]) ).
fof(f1717,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1692]) ).
fof(f1692,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f25]) ).
fof(f1718,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1691]) ).
fof(f1691,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1578,f12]) ).
fof(f1578,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f60]) ).
fof(f1683,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1680,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1487,f60]) ).
fof(f1686,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1677]) ).
fof(f1677,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1487,f60]) ).
fof(f1487,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1479,f157]) ).
fof(f1479,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_Z,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_8 ),
inference(superposition,[],[f26,f157]) ).
fof(f1668,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1664]) ).
fof(f1664,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1486,f60]) ).
fof(f1671,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1661]) ).
fof(f1661,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1486,f60]) ).
fof(f1486,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1478,f157]) ).
fof(f1478,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_Z,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_8 ),
inference(superposition,[],[f25,f157]) ).
fof(f1658,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(X1,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1477,f26]) ).
fof(f1657,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(v_Z,X1,t_a),tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1477,f25]) ).
fof(f1656,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_X,t_a)
| c_lessequals(X0,v_Z,tc_set(t_a)) )
| ~ spl0_8 ),
inference(resolution,[],[f1477,f12]) ).
fof(f1477,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_X,t_a) )
| ~ spl0_8 ),
inference(superposition,[],[f9,f157]) ).
fof(f1651,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1638,f26]) ).
fof(f1650,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1638,f25]) ).
fof(f1649,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_X,X1,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_X,X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1638,f12]) ).
fof(f1638,plain,
( ! [X0,X1] :
( c_in(X0,c_union(v_X,X1,t_a),t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f1628,f10]) ).
fof(f1644,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1632,f26]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1632,f25]) ).
fof(f1642,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_X,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(X1,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1632,f12]) ).
fof(f1632,plain,
( ! [X0,X1] :
( c_in(X0,c_union(X1,v_X,t_a),t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f1627,f10]) ).
fof(f1637,plain,
( ! [X0] :
( v_Z = c_union(v_X,X0,t_a)
| ~ c_lessequals(c_union(v_X,X0,t_a),v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1628,f13]) ).
fof(f1628,plain,
( ! [X0] : c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f1625]) ).
fof(f1625,plain,
( ! [X0] :
( c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1586,f25]) ).
fof(f1631,plain,
( ! [X0] :
( v_Z = c_union(X0,v_X,t_a)
| ~ c_lessequals(c_union(X0,v_X,t_a),v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1627,f13]) ).
fof(f1627,plain,
( ! [X0] : c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f1626]) ).
fof(f1626,plain,
( ! [X0] :
( c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1586,f26]) ).
fof(f1586,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f11]) ).
fof(f1619,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1606,f26]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1606,f25]) ).
fof(f1617,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_X,X1,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1606,f12]) ).
fof(f1606,plain,
( ! [X0,X1] :
( c_in(X0,c_union(v_X,X1,t_a),t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f1598,f10]) ).
fof(f1612,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1601,f26]) ).
fof(f1611,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1601,f25]) ).
fof(f1610,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_X,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1601,f12]) ).
fof(f1601,plain,
( ! [X0,X1] :
( c_in(X0,c_union(X1,v_X,t_a),t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f1597,f10]) ).
fof(f1605,plain,
( ! [X0] :
( v_Y = c_union(v_X,X0,t_a)
| ~ c_lessequals(c_union(v_X,X0,t_a),v_Y,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1598,f13]) ).
fof(f1598,plain,
( ! [X0] : c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1595]) ).
fof(f1595,plain,
( ! [X0] :
( c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1577,f25]) ).
fof(f1600,plain,
( ! [X0] :
( v_Y = c_union(X0,v_X,t_a)
| ~ c_lessequals(c_union(X0,v_X,t_a),v_Y,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1597,f13]) ).
fof(f1597,plain,
( ! [X0] : c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
( ! [X0] :
( c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f1577,f26]) ).
fof(f1577,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a)
| c_lessequals(v_Y,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f11]) ).
fof(f1591,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f134]) ).
fof(f1590,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f60]) ).
fof(f1593,plain,
( ! [X0] :
( c_lessequals(v_Z,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a) )
| spl0_1 ),
inference(forward_demodulation,[],[f1592,f181]) ).
fof(f1592,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(forward_demodulation,[],[f1589,f181]) ).
fof(f1589,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f131]) ).
fof(f1588,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f137]) ).
fof(f1587,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1472,f60]) ).
fof(f1472,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f23,f10]) ).
fof(f1582,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f134]) ).
fof(f1581,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),X1,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f60]) ).
fof(f1584,plain,
( ! [X0] :
( c_lessequals(v_Y,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1583,f181]) ).
fof(f1583,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1580,f181]) ).
fof(f1580,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f131]) ).
fof(f1579,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f781,f137]) ).
fof(f781,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f21,f10]) ).
fof(f1568,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1560,f472]) ).
fof(f1560,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_Y,v_X,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f25,f472]) ).
fof(f1558,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f8,f472]) ).
fof(f472,plain,
( v_X = c_union(v_Y,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f468,f106]) ).
fof(f1549,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1541,f423]) ).
fof(f1541,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_Z,v_X,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f25,f423]) ).
fof(f1539,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f8,f423]) ).
fof(f423,plain,
( v_X = c_union(v_Z,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f415,f106]) ).
fof(f1531,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1523,f292]) ).
fof(f1523,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_X,v_Z,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f26,f292]) ).
fof(f1519,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f7,f292]) ).
fof(f292,plain,
( v_X = c_union(v_X,v_Z,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f287,f79]) ).
fof(f1518,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1462,f99]) ).
fof(f1517,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(v_Z,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Z,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f1462,f72]) ).
fof(f1462,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a)) )
| spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f25,f68,f69,f70,f73,f72,f81,f75,f85,f74,f26,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f136,f135,f123,f124,f133,f132,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f172,f173,f176,f180,f181,f84,f262,f260,f134,f290,f289,f283,f284,f288,f328,f332,f137,f418,f417,f416,f408,f409,f2,f6]) ).
fof(f1508,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1500,f369]) ).
fof(f1500,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_X,v_Y,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f26,f369]) ).
fof(f1496,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f7,f369]) ).
fof(f369,plain,
( v_X = c_union(v_X,v_Y,t_a)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f367,f76]) ).
fof(f367,plain,
( v_X = c_union(v_X,v_Y,t_a)
| ~ c_lessequals(v_X,c_union(v_X,v_Y,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f365,f13]) ).
fof(f1491,plain,
( ! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1490,f157]) ).
fof(f1490,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1481,f157]) ).
fof(f1481,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),X0,t_a),v_Y,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_8 ),
inference(superposition,[],[f60,f157]) ).
fof(f1489,plain,
( ! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1488,f157]) ).
fof(f1488,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1480,f157]) ).
fof(f1480,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),X0,t_a),v_Z,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_8 ),
inference(superposition,[],[f60,f157]) ).
fof(f1476,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Z,t_a) )
| ~ spl0_8 ),
inference(superposition,[],[f8,f157]) ).
fof(f1475,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_8 ),
inference(superposition,[],[f7,f157]) ).
fof(f157,plain,
( v_X = c_union(v_Z,v_Y,t_a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_8
<=> v_X = c_union(v_Z,v_Y,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f16,plain,
( v_X != c_union(v_Y,v_Z,t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl0_1
<=> v_X = c_union(v_Y,v_Z,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f23,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| spl0_1 ),
inference(subsumption_resolution,[],[f2,f16]) ).
fof(f335,plain,
( v_X = c_union(v_X,v_Z,t_a)
| spl0_1 ),
inference(superposition,[],[f332,f181]) ).
fof(f1469,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f25,f68,f69,f70,f73,f72,f81,f75,f85,f74,f26,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f136,f135,f123,f124,f133,f132,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f172,f173,f176,f180,f181,f84,f262,f260,f134,f290,f289,f283,f284,f288,f328,f332,f137,f418,f417,f416,f408,f409,f6,f1462,f2]) ).
fof(f2,axiom,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| v_X = c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1468,plain,
( v_X != c_union(v_Y,v_Z,t_a)
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f1467,f5,f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f25,f68,f69,f70,f73,f72,f81,f75,f85,f74,f26,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f136,f135,f123,f124,f133,f132,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f172,f173,f176,f180,f181,f84,f262,f260,f134,f290,f289,f283,f284,f288,f328,f332,f137,f418,f417,f416,f408,f409,f2,f6,f1462]) ).
fof(f1467,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f3,f21]) ).
fof(f1466,plain,
( v_X != c_union(v_Y,v_Z,t_a)
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f1465,f5,f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f25,f68,f69,f70,f73,f72,f81,f75,f85,f74,f26,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f136,f135,f123,f124,f133,f132,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f172,f173,f176,f180,f181,f84,f262,f260,f134,f290,f289,f283,f284,f288,f328,f332,f137,f418,f417,f416,f408,f409,f2,f6,f1462]) ).
fof(f1465,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f4,f21]) ).
fof(f1464,plain,
( v_X != c_union(v_Y,v_Z,t_a)
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f1463,f5,f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f25,f68,f69,f70,f73,f72,f81,f75,f85,f74,f26,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f136,f135,f123,f124,f133,f132,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f172,f173,f176,f180,f181,f84,f262,f260,f134,f290,f289,f283,f284,f288,f328,f332,f137,f418,f417,f416,f408,f409,f2,f6,f1462]) ).
fof(f1463,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5,f21]) ).
fof(f6,axiom,
! [X0] :
( ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a))
| v_X = c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f21,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_2
<=> c_lessequals(v_Y,v_X,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f606,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f592,f554]) ).
fof(f592,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_X,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(superposition,[],[f26,f554]) ).
fof(f554,plain,
( v_X = c_union(v_X,v_Y,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f367,f72]) ).
fof(f557,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f3,f21]) ).
fof(f556,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f4,f21]) ).
fof(f555,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5,f21]) ).
fof(f368,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_X,v_Y,t_a),t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f365,f10]) ).
fof(f518,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_X,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_X,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(factoring,[],[f122]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,t_a),v_Y,t_a),X2,t_a),v_X,t_a)
| c_lessequals(c_union(c_union(X0,X1,t_a),v_Y,t_a),X2,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,t_a),v_Y,t_a),X2,t_a),X1,t_a)
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,t_a),v_Y,t_a),X2,t_a),X0,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f9]) ).
fof(f523,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),X0,t_a),v_X,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f122,f29]) ).
fof(f536,plain,
( ! [X0] : c_lessequals(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f526,f25]) ).
fof(f526,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f513,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Z,v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f122,f84]) ).
fof(f528,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X1,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f511]) ).
fof(f511,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X1,X0,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f26]) ).
fof(f529,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X0,X1,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X0,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f510,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X0,X1,t_a),t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X0,X1,t_a),tc_set(t_a))
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X0,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f25]) ).
fof(f531,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X1,v_X,t_a),t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f508]) ).
fof(f508,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(X1,v_X,t_a),t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,v_X,t_a),tc_set(t_a))
| c_lessequals(c_union(X0,v_Y,t_a),c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f26]) ).
fof(f532,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f507,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_lessequals(c_union(X0,v_Y,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f25]) ).
fof(f533,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f12]) ).
fof(f122,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),X1,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f60,f28]) ).
fof(f474,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_Y,v_X,t_a),t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f468,f10]) ).
fof(f475,plain,
( v_X = c_union(v_Y,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f473,f103]) ).
fof(f473,plain,
( v_X = c_union(v_Y,v_X,t_a)
| ~ c_lessequals(v_X,c_union(v_Y,v_X,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f468,f13]) ).
fof(f468,plain,
( c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f461]) ).
fof(f461,plain,
( c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f395,f137]) ).
fof(f466,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f463]) ).
fof(f463,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f395,f60]) ).
fof(f469,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f460]) ).
fof(f460,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f395,f60]) ).
fof(f395,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f387,f369]) ).
fof(f387,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_X,v_Y,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f26,f369]) ).
fof(f425,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_Z,v_X,t_a),t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f415,f10]) ).
fof(f426,plain,
( v_X = c_union(v_Z,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f424,f103]) ).
fof(f424,plain,
( v_X = c_union(v_Z,v_X,t_a)
| ~ c_lessequals(v_X,c_union(v_Z,v_X,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f415,f13]) ).
fof(f415,plain,
( c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f406]) ).
fof(f406,plain,
( c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f137,f266]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(c_union(X0,X1,X2),X3,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),X3,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),X3,X2),X3,X2),X0,X2) ),
inference(resolution,[],[f137,f9]) ).
fof(f408,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X0,t_a),v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f137,f29]) ).
fof(f407,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X0,t_a),v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f137,f28]) ).
fof(f416,plain,
( ! [X0] : c_lessequals(c_union(v_Z,c_union(v_X,X0,t_a),t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f405,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,c_union(v_X,X0,t_a),t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(v_Z,c_union(v_X,X0,t_a),t_a),c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f137,f84]) ).
fof(f417,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,c_union(X1,X0,X2),X2),c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f404,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,c_union(X1,X0,X2),X2),c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(c_union(X0,c_union(X1,X0,X2),X2),c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f137,f26]) ).
fof(f418,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,c_union(X0,X1,X2),X2),c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f403,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,c_union(X0,X1,X2),X2),c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(c_union(X0,c_union(X0,X1,X2),X2),c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f137,f25]) ).
fof(f137,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X1,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X1,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f60,f12]) ).
fof(f366,plain,
( v_X = c_union(v_X,v_Y,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f365,f79]) ).
fof(f365,plain,
( c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f359]) ).
fof(f359,plain,
( c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f282,f12]) ).
fof(f363,plain,
( ! [X0] : c_lessequals(c_union(c_union(X0,v_X,t_a),v_Y,t_a),c_union(X0,v_X,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f361,plain,
( ! [X0] :
( c_lessequals(c_union(c_union(X0,v_X,t_a),v_Y,t_a),c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(c_union(c_union(X0,v_X,t_a),v_Y,t_a),c_union(X0,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f282,f26]) ).
fof(f364,plain,
( ! [X0] : c_lessequals(c_union(c_union(v_X,X0,t_a),v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f360]) ).
fof(f360,plain,
( ! [X0] :
( c_lessequals(c_union(c_union(v_X,X0,t_a),v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(c_union(v_X,X0,t_a),v_Y,t_a),c_union(v_X,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f282,f25]) ).
fof(f282,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f134,f28]) ).
fof(f332,plain,
( ! [X0] : c_union(v_X,X0,t_a) = c_union(c_union(v_X,X0,t_a),v_Z,t_a)
| spl0_1 ),
inference(subsumption_resolution,[],[f327,f72]) ).
fof(f327,plain,
( ! [X0] :
( c_union(v_X,X0,t_a) = c_union(c_union(v_X,X0,t_a),v_Z,t_a)
| ~ c_lessequals(c_union(v_X,X0,t_a),c_union(c_union(v_X,X0,t_a),v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f288,f13]) ).
fof(f328,plain,
( ! [X0,X1] :
( c_in(X0,c_union(v_X,X1,t_a),t_a)
| ~ c_in(X0,c_union(c_union(v_X,X1,t_a),v_Z,t_a),t_a) )
| spl0_1 ),
inference(resolution,[],[f288,f10]) ).
fof(f288,plain,
( ! [X0] : c_lessequals(c_union(c_union(v_X,X0,t_a),v_Z,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f280,plain,
( ! [X0] :
( c_lessequals(c_union(c_union(v_X,X0,t_a),v_Z,t_a),c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(c_union(c_union(v_X,X0,t_a),v_Z,t_a),c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f134,f84]) ).
fof(f294,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_X,v_Z,t_a),t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f287,f10]) ).
fof(f295,plain,
( v_X = c_union(v_X,v_Z,t_a)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f293,f76]) ).
fof(f293,plain,
( v_X = c_union(v_X,v_Z,t_a)
| ~ c_lessequals(v_X,c_union(v_X,v_Z,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f287,f13]) ).
fof(f287,plain,
( c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f281]) ).
fof(f281,plain,
( c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f134,f266]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(X0,c_union(X1,X2,X3),X3),X0,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_union(X0,c_union(X1,X2,X3),X3),X0,X3),X2,X3)
| c_in(c_Main_OsubsetI__1(c_union(X0,c_union(X1,X2,X3),X3),X0,X3),X1,X3) ),
inference(resolution,[],[f134,f9]) ).
fof(f283,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X0,t_a),v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f134,f29]) ).
fof(f289,plain,
! [X2,X0,X1] : c_lessequals(c_union(c_union(X0,X1,X2),X1,X2),c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(c_union(X0,X1,X2),X1,X2),c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(c_union(c_union(X0,X1,X2),X1,X2),c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f134,f26]) ).
fof(f290,plain,
! [X2,X0,X1] : c_lessequals(c_union(c_union(X0,X1,X2),X0,X2),c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(c_union(X0,X1,X2),X0,X2),c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(c_union(c_union(X0,X1,X2),X0,X2),c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f134,f25]) ).
fof(f134,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X0,X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X0,X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f60,f12]) ).
fof(f272,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f270,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f266,f60]) ).
fof(f274,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f268,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f266,f60]) ).
fof(f266,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f259,f177]) ).
fof(f259,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_X,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(superposition,[],[f84,f181]) ).
fof(f265,plain,
( ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f258,f177]) ).
fof(f258,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_X,v_X,t_a),tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f84,f177]) ).
fof(f260,plain,
( ! [X0,X1] :
( c_lessequals(c_union(X0,v_Z,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a) )
| spl0_1 ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
( ! [X0,X1] :
( c_lessequals(c_union(X0,v_Z,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f84,f60]) ).
fof(f262,plain,
( ! [X0,X1] :
( c_lessequals(c_union(v_Z,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a) )
| spl0_1 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f254,plain,
( ! [X0,X1] :
( c_lessequals(c_union(v_Z,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),c_union(v_X,X1,t_a),t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),c_union(v_X,X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f84,f60]) ).
fof(f84,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_X,X1,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_X,X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f75,f12]) ).
fof(f181,plain,
! [X0,X1] : c_union(X0,X0,X1) = X0,
inference(subsumption_resolution,[],[f179,f72]) ).
fof(f179,plain,
! [X0,X1] :
( c_union(X0,X0,X1) = X0
| ~ c_lessequals(X0,c_union(X0,X0,X1),tc_set(X1)) ),
inference(resolution,[],[f176,f13]) ).
fof(f177,plain,
( v_X = c_union(v_X,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f176,f106]) ).
fof(f180,plain,
! [X2,X0,X1] :
( c_in(X0,X1,X2)
| ~ c_in(X0,c_union(X1,X1,X2),X2) ),
inference(resolution,[],[f176,f10]) ).
fof(f178,plain,
( v_X = c_union(v_X,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f176,f79]) ).
fof(f176,plain,
! [X0,X1] : c_lessequals(c_union(X0,X0,X1),X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( c_lessequals(c_union(X0,X0,X1),X0,tc_set(X1))
| c_lessequals(c_union(X0,X0,X1),X0,tc_set(X1)) ),
inference(resolution,[],[f131,f12]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(c_union(X0,X1,X2),c_union(X0,X1,X2),X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),c_union(X0,X1,X2),X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),c_union(X0,X1,X2),X2),X3,X2),X0,X2) ),
inference(resolution,[],[f131,f9]) ).
fof(f172,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Z,t_a),X0,t_a),v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f131,f29]) ).
fof(f171,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,v_Y,t_a),X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Y,t_a),X0,t_a),v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f131,f28]) ).
fof(f174,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,X0,X1),c_union(X2,X0,X1),tc_set(X1)),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,X0,X1),c_union(X2,X0,X1),tc_set(X1))
| c_lessequals(c_union(X0,X0,X1),c_union(X2,X0,X1),tc_set(X1)) ),
inference(resolution,[],[f131,f26]) ).
fof(f175,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,X0,X1),c_union(X0,X2,X1),tc_set(X1)),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,X0,X1),c_union(X0,X2,X1),tc_set(X1))
| c_lessequals(c_union(X0,X0,X1),c_union(X0,X2,X1),tc_set(X1)) ),
inference(resolution,[],[f131,f25]) ).
fof(f131,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X0,X1),X2,X1),X0,X1)
| c_lessequals(c_union(X0,X0,X1),X2,tc_set(X1)) ),
inference(factoring,[],[f60]) ).
fof(f166,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_Y,v_Z,t_a),t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(X1,c_union(v_Y,v_Z,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f162,f26]) ).
fof(f165,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_Y,v_Z,t_a),X1,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(c_union(v_Y,v_Z,t_a),X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f162,f25]) ).
fof(f164,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_Y,v_Z,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(v_Y,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f162,f12]) ).
fof(f162,plain,
( ! [X0] :
( c_in(X0,c_union(v_Y,v_Z,t_a),t_a)
| ~ c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f160,f10]) ).
fof(f163,plain,
( ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(subsumption_resolution,[],[f161,f16]) ).
fof(f161,plain,
( v_X = c_union(v_Y,v_Z,t_a)
| ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f160,f13]) ).
fof(f160,plain,
( c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f110,f72]) ).
fof(f110,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f99,f61]) ).
fof(f140,plain,
( v_X = c_union(v_Z,v_Y,t_a)
| ~ c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f139,f13]) ).
fof(f148,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(X1,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f145,f26]) ).
fof(f147,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(v_Z,X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f145,f25]) ).
fof(f146,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_X,t_a)
| c_lessequals(X0,v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f145,f12]) ).
fof(f145,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f141,f9]) ).
fof(f144,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_Z,v_Y,t_a),t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(X1,c_union(v_Z,v_Y,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f141,f26]) ).
fof(f143,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_Z,v_Y,t_a),X1,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(c_union(v_Z,v_Y,t_a),X1,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f141,f25]) ).
fof(f142,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,v_Y,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_union(v_Z,v_Y,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f141,f12]) ).
fof(f141,plain,
( ! [X0] :
( c_in(X0,c_union(v_Z,v_Y,t_a),t_a)
| ~ c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f139,f10]) ).
fof(f139,plain,
( c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f83,f99]) ).
fof(f83,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(v_Z,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Z,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f72,f61]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),X3,X2),X4,X2),X3,X2)
| c_lessequals(c_union(c_union(X0,X1,X2),X3,X2),X4,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),X3,X2),X4,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(c_union(X0,X1,X2),X3,X2),X4,X2),X0,X2) ),
inference(resolution,[],[f60,f9]) ).
fof(f129,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f60,f29]) ).
fof(f128,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f60,f28]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X0,X2),X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X0,X2),X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f26]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X0,X3,X2),X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X0,X3,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X0,X3,X2),X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X0,X3,X2),tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),c_union(X0,X3,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f25]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_union(X0,c_union(X1,X2,X3),X3),X4,X3),X0,X3)
| c_lessequals(c_union(X0,c_union(X1,X2,X3),X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_union(X0,c_union(X1,X2,X3),X3),X4,X3),X2,X3)
| c_in(c_Main_OsubsetI__1(c_union(X0,c_union(X1,X2,X3),X3),X4,X3),X1,X3) ),
inference(resolution,[],[f60,f9]) ).
fof(f123,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f60,f29]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X1,X2),X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X1,X2),X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f26]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X1,X3,X2),X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X1,X3,X2),X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f25]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f9,f11]) ).
fof(f106,plain,
( ! [X0] :
( ~ c_lessequals(c_union(X0,v_X,t_a),v_X,tc_set(t_a))
| v_X = c_union(X0,v_X,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f103,f13]) ).
fof(f79,plain,
( ! [X0] :
( ~ c_lessequals(c_union(v_X,X0,t_a),v_X,tc_set(t_a))
| v_X = c_union(v_X,X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f76,f13]) ).
fof(f104,plain,
( ! [X0] :
( ~ c_lessequals(c_union(X0,v_X,t_a),v_Y,tc_set(t_a))
| v_Y = c_union(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f98,f13]) ).
fof(f101,plain,
( ! [X0] :
( ~ c_lessequals(c_union(X0,v_X,t_a),v_Z,tc_set(t_a))
| v_Z = c_union(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f97,f13]) ).
fof(f77,plain,
( ! [X0] :
( ~ c_lessequals(c_union(v_X,X0,t_a),v_Y,tc_set(t_a))
| v_Y = c_union(v_X,X0,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f13]) ).
fof(f117,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f105,f26]) ).
fof(f116,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f105,f25]) ).
fof(f115,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_X,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f105,f12]) ).
fof(f105,plain,
( ! [X0,X1] :
( c_in(X0,c_union(X1,v_X,t_a),t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f98,f10]) ).
fof(f113,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(X1,c_union(X2,v_X,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f26]) ).
fof(f112,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(c_union(X1,v_X,t_a),X2,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f25]) ).
fof(f111,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_X,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(X1,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f12]) ).
fof(f102,plain,
( ! [X0,X1] :
( c_in(X0,c_union(X1,v_X,t_a),t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f97,f10]) ).
fof(f108,plain,
! [X2,X0,X1] :
( c_union(X0,X1,X2) = X1
| ~ c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f99,f13]) ).
fof(f99,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f26,f11]) ).
fof(f103,plain,
( ! [X0] : c_lessequals(v_X,c_union(X0,v_X,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f2,f6,f5,f3,f4,f1,f21,f16,f23,f7,f8,f11,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f60,f61,f25,f68,f69,f70,f73,f71,f77,f76,f79,f72,f81,f83,f75,f84,f85,f78,f87,f88,f74,f26,f99,f98,f93,f94,f95,f96,f97,f100]) ).
fof(f98,plain,
( ! [X0] : c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f91,plain,
( ! [X0] :
( c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f26,f31]) ).
fof(f100,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(X0,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f97,f61]) ).
fof(f97,plain,
( ! [X0] : c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( ! [X0] :
( c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a))
| c_lessequals(v_Z,c_union(X0,v_X,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f26,f32]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),t_a),v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f26,f75]) ).
fof(f95,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(v_X,X2,t_a),t_a),t_a),v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f26,f78]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,c_union(X1,c_union(X2,X3,X4),X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X3,X4) ),
inference(resolution,[],[f26,f7]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,c_union(X1,c_union(X2,X3,X4),X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X2,X4) ),
inference(resolution,[],[f26,f8]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f12,f7]) ).
fof(f74,plain,
( ! [X0] :
( ~ c_lessequals(c_union(v_X,X0,t_a),v_Z,tc_set(t_a))
| v_Z = c_union(v_X,X0,t_a) )
| spl0_1 ),
inference(resolution,[],[f70,f13]) ).
fof(f88,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f78,f25]) ).
fof(f87,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_X,X1,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_X,X1,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f78,f12]) ).
fof(f78,plain,
( ! [X0,X1] :
( c_in(X0,c_union(v_X,X1,t_a),t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f10]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),t_a),v_Z,t_a)
| c_lessequals(X0,c_union(c_union(v_X,X1,t_a),X2,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f75,f25]) ).
fof(f75,plain,
( ! [X0,X1] :
( c_in(X0,c_union(v_X,X1,t_a),t_a)
| ~ c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f70,f10]) ).
fof(f81,plain,
! [X2,X0,X1] :
( c_union(X0,X1,X2) = X0
| ~ c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f72,f13]) ).
fof(f72,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f25,f11]) ).
fof(f76,plain,
( ! [X0] : c_lessequals(v_X,c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f2,f6,f5,f3,f4,f1,f21,f16,f23,f7,f8,f11,f12,f26,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f60,f61,f25,f72,f71,f68,f69,f70,f73]) ).
fof(f71,plain,
( ! [X0] : c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( ! [X0] :
( c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f31]) ).
fof(f73,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f70,f61]) ).
fof(f70,plain,
( ! [X0] : c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
( ! [X0] :
( c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a))
| c_lessequals(v_Z,c_union(v_X,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f25,f32]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,c_union(c_union(X1,X2,X3),X4,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),X2,X3) ),
inference(resolution,[],[f25,f7]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,c_union(c_union(X1,X2,X3),X4,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),X1,X3) ),
inference(resolution,[],[f25,f8]) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f12,f8]) ).
fof(f61,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a)) )
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f16]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X1,c_union(X4,X2,X3),X3)
| c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f32,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f29,f11]) ).
fof(f31,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a)
| c_lessequals(v_Y,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f28,f11]) ).
fof(f34,plain,
( v_X = v_Z
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f13,f23]) ).
fof(f33,plain,
( v_X = v_Y
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f13,f21]) ).
fof(f13,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(X4,X2,tc_set(X3))
| X2 = X4
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f29,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f10,f23]) ).
fof(f28,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f10,f21]) ).
fof(f10,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f27,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( c_lessequals(X0,X0,tc_set(X1))
| c_lessequals(X0,X0,tc_set(X1)) ),
inference(resolution,[],[f12,f11]) ).
fof(f12,axiom,
! [X2,X3,X4] :
( ~ c_in(c_Main_OsubsetI__1(X4,X2,X3),X2,X3)
| c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f11,axiom,
! [X2,X3,X4] :
( c_in(c_Main_OsubsetI__1(X4,X2,X3),X4,X3)
| c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f8,axiom,
! [X2,X3,X1,X4] :
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f1,axiom,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| v_X = c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,axiom,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,axiom,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f5,axiom,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1731,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1730,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f61,f25,f68,f69,f70,f73,f71,f76,f72,f81,f75,f85,f78,f87,f88,f74,f26,f93,f94,f95,f96,f97,f100,f98,f103,f99,f108,f102,f111,f112,f113,f105,f115,f116,f117,f77,f101,f104,f79,f106,f60,f136,f135,f123,f124,f133,f132,f128,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f171,f172,f173,f176,f178,f180,f177,f181,f84,f262,f260,f265,f266,f274,f272,f134,f290,f289,f283,f284,f287,f295,f294,f288,f328,f332,f282,f364,f363,f365,f366,f137,f418,f417,f416,f407,f408,f409,f415,f426,f425,f395,f469,f466,f468,f475,f474,f122,f533,f532,f531,f529,f528,f536,f523,f517,f518,f368,f555,f556,f557,f554,f606,f21,f6,f1463,f1464,f1465,f1466,f1467,f1468,f2,f1469,f335,f23,f16,f157,f1475,f1476,f1489,f1491,f369,f1496,f1508,f1462,f1517,f1518,f292,f1519,f1531,f423,f1539,f1549,f472,f1558,f1568,f781,f1579,f1584,f1581,f1582,f1472,f1587,f1588,f1593,f1590,f1591,f1577,f1597,f1600,f1598,f1605,f1601,f1610,f1611,f1612,f1606,f1617,f1618,f1619,f1586,f1627,f1631,f1628,f1637,f1632,f1642,f1643,f1644,f1638,f1649,f1650,f1651,f1477,f1656,f1657,f1658,f1486,f1671,f1668,f1487,f1686,f1683,f1578,f1718,f1717,f1716,f1715,f1714,f1713,f1721,f1708]) ).
fof(f1723,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1722]) ).
fof(f1722,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f61,f25,f68,f69,f70,f73,f71,f76,f72,f81,f75,f85,f78,f87,f88,f74,f26,f93,f94,f95,f96,f97,f100,f98,f103,f99,f108,f102,f111,f112,f113,f105,f115,f116,f117,f77,f101,f104,f79,f106,f60,f136,f135,f123,f124,f133,f132,f128,f129,f130,f83,f139,f141,f142,f143,f144,f145,f146,f147,f148,f140,f110,f160,f163,f162,f164,f165,f166,f131,f175,f174,f171,f172,f173,f176,f178,f180,f177,f181,f84,f262,f260,f265,f266,f274,f272,f134,f290,f289,f283,f284,f287,f295,f294,f288,f328,f332,f282,f364,f363,f365,f366,f137,f418,f417,f416,f407,f408,f409,f415,f426,f425,f395,f469,f466,f468,f475,f474,f122,f533,f532,f531,f529,f528,f536,f523,f517,f518,f368,f555,f556,f557,f554,f606,f21,f6,f1463,f1464,f1465,f1466,f1467,f1468,f2,f1469,f335,f23,f16,f157,f1475,f1476,f1489,f1491,f369,f1496,f1508,f1462,f1517,f1518,f292,f1519,f1531,f423,f1539,f1549,f472,f1558,f1568,f781,f1579,f1584,f1581,f1582,f1472,f1587,f1588,f1593,f1590,f1591,f1577,f1597,f1600,f1598,f1605,f1601,f1610,f1611,f1612,f1606,f1617,f1618,f1619,f1586,f1627,f1631,f1628,f1637,f1632,f1642,f1643,f1644,f1638,f1649,f1650,f1651,f1477,f1656,f1657,f1658,f1486,f1671,f1668,f1487,f1686,f1683,f1578,f1718,f1717,f1716,f1715,f1714,f1713,f1721]) ).
fof(f1461,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1460,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1458,f627]) ).
fof(f627,plain,
( ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f626,f17]) ).
fof(f17,plain,
( v_X = c_union(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f626,plain,
( ~ c_lessequals(v_X,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f555,f566]) ).
fof(f566,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f99,f17]) ).
fof(f1458,plain,
( c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f1455,f807]) ).
fof(f807,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_Y,t_a)
| c_lessequals(X0,v_x,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f785,f12]) ).
fof(f785,plain,
( ! [X0] :
( c_in(X0,v_x,t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f771,f10]) ).
fof(f771,plain,
( c_lessequals(v_Y,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f25,f68,f69,f72,f81,f26,f93,f94,f99,f108,f60,f136,f135,f124,f133,f132,f130,f131,f175,f174,f173,f176,f180,f181,f134,f290,f289,f284,f137,f418,f417,f409,f6,f2,f17,f572,f574,f566,f580,f558,f617,f618,f619,f625,f621,f622,f560,f629,f630,f631,f569,f644,f641,f643,f651,f652,f570,f689,f686,f685,f695,f696,f688,f721,f722,f664,f658,f640,f649,f645,f565,f559,f770]) ).
fof(f770,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f769,f17]) ).
fof(f769,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f3,f566]) ).
fof(f559,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f8,f17]) ).
fof(f565,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f72,f17]) ).
fof(f645,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f569,f11]) ).
fof(f649,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f642,f181]) ).
fof(f642,plain,
( c_lessequals(c_union(v_Y,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f637]) ).
fof(f637,plain,
( c_lessequals(c_union(v_Y,v_Y,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f569,f131]) ).
fof(f640,plain,
( c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f639]) ).
fof(f639,plain,
( c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f569,f134]) ).
fof(f658,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f8,f652]) ).
fof(f664,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f72,f652]) ).
fof(f722,plain,
( v_X = c_union(v_Z,v_X,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f720,f99]) ).
fof(f720,plain,
( v_X = c_union(v_Z,v_X,t_a)
| ~ c_lessequals(v_X,c_union(v_Z,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f688,f13]) ).
fof(f721,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_Z,v_X,t_a),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f688,f10]) ).
fof(f688,plain,
( c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f680]) ).
fof(f680,plain,
( c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Z,v_X,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f570,f137]) ).
fof(f696,plain,
( v_X = c_union(v_X,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f694,f72]) ).
fof(f694,plain,
( v_X = c_union(v_X,v_Z,t_a)
| ~ c_lessequals(v_X,c_union(v_X,v_Z,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f685,f13]) ).
fof(f695,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_X,v_Z,t_a),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f685,f10]) ).
fof(f685,plain,
( c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f683]) ).
fof(f683,plain,
( c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f570,f134]) ).
fof(f686,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f682,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f570,f60]) ).
fof(f689,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f679]) ).
fof(f679,plain,
( ! [X0] :
( c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f570,f60]) ).
fof(f570,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f562,f17]) ).
fof(f562,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_union(v_Y,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f26,f17]) ).
fof(f652,plain,
( v_X = c_union(v_Y,v_X,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f650,f99]) ).
fof(f650,plain,
( v_X = c_union(v_Y,v_X,t_a)
| ~ c_lessequals(v_X,c_union(v_Y,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f643,f13]) ).
fof(f651,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,c_union(v_Y,v_X,t_a),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f643,f10]) ).
fof(f643,plain,
( c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f636]) ).
fof(f636,plain,
( c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,v_X,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f569,f137]) ).
fof(f641,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f638,plain,
( ! [X0] :
( c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Y,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Y,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f569,f60]) ).
fof(f644,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
( ! [X0] :
( c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f569,f60]) ).
fof(f569,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f561,f17]) ).
fof(f561,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_Y,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f25,f17]) ).
fof(f631,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(X0,c_union(X1,v_Z,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(X1,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f560,f26]) ).
fof(f630,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(X0,c_union(v_Z,X1,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_union(v_Z,X1,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f560,f25]) ).
fof(f629,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_Y,t_a)
| c_lessequals(X0,v_Z,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f560,f12]) ).
fof(f560,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f9,f17]) ).
fof(f622,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f134]) ).
fof(f621,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f60]) ).
fof(f625,plain,
( ! [X0] :
( c_lessequals(v_Z,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f624,f181]) ).
fof(f624,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f620,f181]) ).
fof(f620,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f131]) ).
fof(f619,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f137]) ).
fof(f618,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Z,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Z,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f60]) ).
fof(f617,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f558,f11]) ).
fof(f558,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f7,f17]) ).
fof(f580,plain,
( ! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Z,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f566,f10]) ).
fof(f574,plain,
( ! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f573,f17]) ).
fof(f573,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f564,f17]) ).
fof(f564,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_Z,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f17]) ).
fof(f572,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f571,f17]) ).
fof(f571,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f563,f17]) ).
fof(f563,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_Y,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f17]) ).
fof(f1455,plain,
( c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1453,f627]) ).
fof(f1453,plain,
( c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1441]) ).
fof(f1441,plain,
( c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| c_lessequals(v_X,v_x,tc_set(t_a))
| c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f572,f795]) ).
fof(f795,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_Z,t_a)
| c_lessequals(X0,v_x,tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f783,f12]) ).
fof(f783,plain,
( ! [X0] :
( c_in(X0,v_x,t_a)
| ~ c_in(X0,v_Z,t_a) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f724,f10]) ).
fof(f724,plain,
( c_lessequals(v_Z,v_x,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f723,f17]) ).
fof(f723,plain,
( c_lessequals(v_Z,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f556,f566]) ).
fof(f806,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f784,f15,f803,f799]) ).
fof(f799,plain,
( spl0_11
<=> c_lessequals(v_x,v_Y,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f803,plain,
( spl0_12
<=> v_Y = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f784,plain,
( v_Y = v_x
| ~ c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f771,f13]) ).
fof(f779,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f25,f68,f69,f72,f81,f26,f93,f94,f99,f108,f60,f136,f135,f124,f133,f132,f130,f131,f175,f174,f173,f176,f180,f181,f134,f290,f289,f284,f137,f418,f417,f409,f6,f2,f17,f572,f574,f566,f580,f558,f617,f618,f619,f625,f621,f622,f560,f629,f630,f631,f569,f644,f641,f643,f651,f652,f570,f689,f686,f685,f695,f696,f688,f721,f722,f664,f658,f640,f649,f645,f565,f559,f770,f771,f773,f774,f776,f777,f20]) ).
fof(f20,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f777,plain,
( ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f25,f68,f69,f72,f81,f26,f93,f94,f99,f108,f60,f136,f135,f124,f133,f132,f130,f131,f175,f174,f173,f176,f180,f181,f134,f290,f289,f284,f137,f418,f417,f409,f6,f2,f17,f572,f574,f566,f580,f558,f617,f618,f619,f625,f621,f622,f560,f629,f630,f631,f569,f644,f641,f643,f651,f652,f570,f689,f686,f685,f695,f696,f688,f721,f722,f664,f658,f640,f649,f645,f565,f559,f770,f771,f773,f774,f776]) ).
fof(f776,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f775,f17]) ).
fof(f775,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f5,f566]) ).
fof(f774,plain,
( c_lessequals(v_Z,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f25,f68,f69,f72,f81,f26,f93,f94,f99,f108,f60,f136,f135,f124,f133,f132,f130,f131,f175,f174,f173,f176,f180,f181,f134,f290,f289,f284,f137,f418,f417,f409,f6,f2,f17,f572,f574,f566,f580,f558,f617,f618,f619,f625,f621,f622,f560,f629,f630,f631,f569,f644,f641,f643,f651,f652,f570,f689,f686,f685,f695,f696,f688,f721,f722,f664,f658,f640,f649,f645,f565,f559,f770,f771,f773]) ).
fof(f773,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f772,f17]) ).
fof(f772,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f4,f566]) ).
fof(f764,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f762,f153]) ).
fof(f153,plain,
( ~ c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_7
<=> c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f762,plain,
( c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f692,f12]) ).
fof(f692,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f691,f153]) ).
fof(f691,plain,
( c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f677]) ).
fof(f677,plain,
( c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f570,f122]) ).
fof(f758,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f725,f19,f15,f755,f751]) ).
fof(f751,plain,
( spl0_9
<=> c_lessequals(v_x,v_Z,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f755,plain,
( spl0_10
<=> v_Z = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f725,plain,
( v_Z = v_x
| ~ c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f724,f13]) ).
fof(f553,plain,
( spl0_1
| ~ spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f551,f153]) ).
fof(f551,plain,
( c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f537,f12]) ).
fof(f537,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| spl0_1
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f525,f153]) ).
fof(f525,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f514,plain,
( c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Y,t_a),v_X,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f122,f266]) ).
fof(f158,plain,
( ~ spl0_7
| spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f140,f15,f155,f151]) ).
fof(f53,plain,
( ~ spl0_5
| spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f34,f15,f50,f46]) ).
fof(f46,plain,
( spl0_5
<=> c_lessequals(v_X,v_Z,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f50,plain,
( spl0_6
<=> v_X = v_Z ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f44,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f33,f19,f41,f37]) ).
fof(f37,plain,
( spl0_3
<=> c_lessequals(v_X,v_Y,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f41,plain,
( spl0_4
<=> v_X = v_Y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f19,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET837-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.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 : Mon May 20 11:07:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (32356)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (32360)WARNING: value z3 for option sas not known
% 0.13/0.37 % (32360)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)
% 0.13/0.37 % (32359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (32364)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)
% 0.13/0.37 % (32361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (32363)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)
% 0.13/0.37 % (32362)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)
% 0.13/0.38 % (32358)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.40 TRYING [3]
% 0.21/0.40 TRYING [5]
% 0.21/0.42 % (32360)First to succeed.
% 0.21/0.43 % (32360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32356"
% 0.21/0.43 % (32360)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (32360)------------------------------
% 0.21/0.44 % (32360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (32360)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (32360)Memory used [KB]: 1210
% 0.21/0.44 % (32360)Time elapsed: 0.058 s
% 0.21/0.44 % (32360)Instructions burned: 95 (million)
% 0.21/0.44 % (32356)Success in time 0.076 s
%------------------------------------------------------------------------------