TSTP Solution File: GRP026-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:52:22 EDT 2024
% Result : Unsatisfiable 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 57
% Syntax : Number of formulae : 1218 ( 56 unt; 0 def)
% Number of atoms : 4665 ( 287 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 6553 (3106 ~;3435 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-3 aty)
% Number of variables : 464 ( 464 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1743,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f85,f115,f151,f208,f210,f230,f236,f239,f241,f243,f317,f319,f321,f323,f326,f328,f330,f332,f334,f336,f338,f354,f363,f369,f375,f382,f384,f386,f390,f394,f396,f399,f446,f464,f466,f520,f559,f592,f594,f596,f598,f600,f602,f604,f606,f609,f611,f613,f615,f617,f619,f621,f623,f625,f628,f639,f641,f643,f645,f647,f649,f659,f696,f698,f701,f728,f779,f819,f821,f823,f825,f827,f829,f831,f833,f835,f837,f839,f841,f844,f883,f885,f887,f889,f891,f893,f895,f897,f900,f902,f905,f907,f909,f912,f915,f919,f923,f927,f929,f931,f933,f935,f937,f939,f942,f944,f946,f948,f950,f952,f954,f956,f958,f960,f962,f964,f966,f968,f970,f972,f974,f976,f978,f980,f983,f995,f1024,f1026,f1028,f1030,f1033,f1053,f1090,f1127,f1131,f1133,f1136,f1139,f1142,f1145,f1148,f1151,f1153,f1155,f1157,f1159,f1161,f1163,f1165,f1168,f1170,f1173,f1176,f1178,f1180,f1182,f1184,f1186,f1189,f1192,f1195,f1197,f1234,f1237,f1239,f1241,f1243,f1245,f1247,f1249,f1251,f1253,f1255,f1257,f1260,f1262,f1264,f1267,f1269,f1271,f1273,f1275,f1277,f1280,f1282,f1284,f1286,f1288,f1290,f1292,f1294,f1296,f1299,f1301,f1303,f1305,f1307,f1309,f1311,f1313,f1315,f1317,f1319,f1321,f1323,f1325,f1327,f1329,f1331,f1333,f1335,f1337,f1339,f1341,f1343,f1345,f1347,f1349,f1352,f1354,f1356,f1358,f1360,f1362,f1364,f1366,f1368,f1370,f1372,f1374,f1376,f1378,f1380,f1382,f1384,f1386,f1388,f1390,f1392,f1394,f1396,f1398,f1400,f1402,f1404,f1406,f1408,f1462,f1464,f1466,f1468,f1471,f1474,f1476,f1478,f1480,f1482,f1484,f1486,f1488,f1490,f1492,f1494,f1497,f1500,f1502,f1504,f1506,f1508,f1510,f1512,f1514,f1516,f1518,f1520,f1522,f1524,f1527,f1551,f1575,f1612,f1635,f1669,f1679,f1719,f1742]) ).
fof(f1742,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1737,f543]) ).
fof(f543,plain,
( b != c
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f113,f110]) ).
fof(f110,plain,
( b = d3
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl0_8
<=> b = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f113,plain,
( c != d3
| spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_9
<=> c = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1737,plain,
( b = c
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1730,f166]) ).
fof(f166,plain,
! [X0] :
( ~ product(g1,b,b,X0)
| c = X0 ),
inference(resolution,[],[f9,f25]) ).
fof(f25,axiom,
product(g1,b,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_b_is_c) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X4)
| X3 = X4
| ~ product(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f1730,plain,
( product(g1,b,b,b)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1729,f80]) ).
fof(f80,plain,
( b = d2
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_5
<=> b = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1729,plain,
( product(g1,b,d2,b)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1723,f110]) ).
fof(f1723,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f61,plain,
( b = d1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_2
<=> b = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f44,axiom,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_times_d2_is_d3) ).
fof(f1719,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1718]) ).
fof(f1718,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1714,f157]) ).
fof(f157,plain,
( a != b
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f145,f142]) ).
fof(f142,plain,
( a = identity_for(g1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_10
<=> a = identity_for(g1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f145,plain,
( b != identity_for(g1)
| spl0_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl0_11
<=> b = identity_for(g1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1714,plain,
( a = b
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1700,f170]) ).
fof(f170,plain,
! [X0] :
( ~ product(g1,c,b,X0)
| a = X0 ),
inference(resolution,[],[f9,f27]) ).
fof(f27,axiom,
product(g1,c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_b_is_a) ).
fof(f1700,plain,
( product(g1,c,b,b)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1699,f65]) ).
fof(f65,plain,
( c = d1
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_3
<=> c = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1699,plain,
( product(g1,d1,b,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1696,f80]) ).
fof(f1696,plain,
( product(g1,d1,d2,b)
| ~ spl0_8 ),
inference(superposition,[],[f44,f110]) ).
fof(f1679,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1678,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1677,f34]) ).
fof(f34,axiom,
product(g2,g,g,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_times_g_is_h) ).
fof(f1677,plain,
( ~ product(g2,g,g,h)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1676,f39]) ).
fof(f39,axiom,
g = an_isomorphism(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_maps_to_g) ).
fof(f1676,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(b),h)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1675,f80]) ).
fof(f1675,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),h)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1674,f40]) ).
fof(f40,axiom,
h = an_isomorphism(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_maps_to_h) ).
fof(f1674,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(c))
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1671,f114]) ).
fof(f114,plain,
( c = d3
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f1671,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(superposition,[],[f45,f61]) ).
fof(f45,axiom,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_holds_in_group2) ).
fof(f1669,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f1664,f158]) ).
fof(f158,plain,
( a != c
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f149,f142]) ).
fof(f149,plain,
( c != identity_for(g1)
| spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl0_12
<=> c = identity_for(g1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1664,plain,
( a = c
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f1657,f170]) ).
fof(f1657,plain,
( product(g1,c,b,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1656,f65]) ).
fof(f1656,plain,
( product(g1,d1,b,c)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1649,f114]) ).
fof(f1649,plain,
( product(g1,d1,b,d3)
| ~ spl0_5 ),
inference(superposition,[],[f44,f80]) ).
fof(f1635,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f1630,f158]) ).
fof(f1630,plain,
( a = c
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f1624,f167]) ).
fof(f167,plain,
! [X0] :
( ~ product(g1,b,c,X0)
| a = X0 ),
inference(resolution,[],[f9,f26]) ).
fof(f26,axiom,
product(g1,b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_c_is_a) ).
fof(f1624,plain,
( product(g1,b,c,c)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1623,f84]) ).
fof(f84,plain,
( c = d2
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_6
<=> c = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1623,plain,
( product(g1,b,d2,c)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1616,f114]) ).
fof(f1616,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f1612,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1607,f269]) ).
fof(f269,plain,
( b != c
| spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f109,f114]) ).
fof(f109,plain,
( b != d3
| spl0_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f1607,plain,
( b = c
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f1594,f171]) ).
fof(f171,plain,
! [X0] :
( ~ product(g1,c,c,X0)
| b = X0 ),
inference(resolution,[],[f9,f28]) ).
fof(f28,axiom,
product(g1,c,c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_c_is_b) ).
fof(f1594,plain,
( product(g1,c,c,c)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1593,f65]) ).
fof(f1593,plain,
( product(g1,d1,c,c)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1589,f84]) ).
fof(f1589,plain,
( product(g1,d1,d2,c)
| ~ spl0_9 ),
inference(superposition,[],[f44,f114]) ).
fof(f1575,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1574]) ).
fof(f1574,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1570,f157]) ).
fof(f1570,plain,
( a = b
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f1563,f167]) ).
fof(f1563,plain,
( product(g1,b,c,b)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1562,f84]) ).
fof(f1562,plain,
( product(g1,b,d2,b)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1556,f110]) ).
fof(f1556,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f1551,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1549,f37]) ).
fof(f37,axiom,
product(g2,h,h,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_times_h_is_g) ).
fof(f1549,plain,
( ~ product(g2,h,h,g)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1548,f40]) ).
fof(f1548,plain,
( ~ product(g2,an_isomorphism(c),h,g)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1547,f65]) ).
fof(f1547,plain,
( ~ product(g2,an_isomorphism(d1),h,g)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1546,f40]) ).
fof(f1546,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),g)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1545,f39]) ).
fof(f1545,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(b))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1542,f110]) ).
fof(f1542,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f45,f84]) ).
fof(f1527,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f110,f180,f1444,f181,f1448,f1498,f1414,f1418,f1297,f543,f1525]) ).
fof(f1525,plain,
( b != c
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f113,f110]) ).
fof(f1297,plain,
( b = c
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f84,f80]) ).
fof(f1418,plain,
( ~ product(g2,an_isomorphism(d1),g,g)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1417,f39]) ).
fof(f1417,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),g)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1416,f80]) ).
fof(f1416,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),g)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1412,f39]) ).
fof(f1412,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_8 ),
inference(superposition,[],[f45,f110]) ).
fof(f1414,plain,
( product(g1,d1,b,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1411,f80]) ).
fof(f1411,plain,
( product(g1,d1,d2,b)
| ~ spl0_8 ),
inference(superposition,[],[f44,f110]) ).
fof(f1498,plain,
( product(g1,d1,b,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1045,f110]) ).
fof(f1448,plain,
g = multiply(g2,h,h),
inference(subsumption_resolution,[],[f1447,f17]) ).
fof(f1447,plain,
( g = multiply(g2,h,h)
| ~ group_member(h,g2) ),
inference(duplicate_literal_removal,[],[f1446]) ).
fof(f1446,plain,
( g = multiply(g2,h,h)
| ~ group_member(h,g2)
| ~ group_member(h,g2) ),
inference(resolution,[],[f181,f7]) ).
fof(f181,plain,
! [X0] :
( ~ product(g2,h,h,X0)
| g = X0 ),
inference(resolution,[],[f9,f37]) ).
fof(f1444,plain,
f = multiply(g2,h,g),
inference(subsumption_resolution,[],[f1443,f17]) ).
fof(f1443,plain,
( f = multiply(g2,h,g)
| ~ group_member(h,g2) ),
inference(subsumption_resolution,[],[f1442,f16]) ).
fof(f1442,plain,
( f = multiply(g2,h,g)
| ~ group_member(g,g2)
| ~ group_member(h,g2) ),
inference(resolution,[],[f180,f7]) ).
fof(f180,plain,
! [X0] :
( ~ product(g2,h,g,X0)
| f = X0 ),
inference(resolution,[],[f9,f36]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X1,b,X2)
| ~ product(g1,X0,X1,d1)
| product(g1,X0,X2,d3) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f295,f80]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,d1)
| ~ product(g1,X1,d2,X2)
| product(g1,X0,X2,d3) ),
inference(resolution,[],[f10,f44]) ).
fof(f1045,plain,
( product(g1,d1,b,d3)
| ~ spl0_5 ),
inference(superposition,[],[f44,f80]) ).
fof(f1166,plain,
( ~ product(g2,an_isomorphism(d1),g,an_isomorphism(d3))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1044,f39]) ).
fof(f1044,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(d3))
| ~ spl0_5 ),
inference(superposition,[],[f45,f80]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( product(g1,X2,b,X1)
| ~ product(g1,X0,d3,X1)
| ~ product(g1,X0,d1,X2) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f410,f80]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,d3,X1)
| ~ product(g1,X0,d1,X2)
| product(g1,X2,d2,X1) ),
inference(resolution,[],[f11,f44]) ).
fof(f1174,plain,
( ! [X0] :
( ~ product(g1,d1,b,X0)
| d3 = X0 )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f172,f80]) ).
fof(f172,plain,
! [X0] :
( d3 = X0
| ~ product(g1,d1,d2,X0) ),
inference(resolution,[],[f9,f44]) ).
fof(f1115,plain,
h = multiply(g2,h,f),
inference(subsumption_resolution,[],[f1114,f17]) ).
fof(f1114,plain,
( h = multiply(g2,h,f)
| ~ group_member(h,g2) ),
inference(subsumption_resolution,[],[f1113,f15]) ).
fof(f1113,plain,
( h = multiply(g2,h,f)
| ~ group_member(f,g2)
| ~ group_member(h,g2) ),
inference(resolution,[],[f179,f7]) ).
fof(f179,plain,
! [X0] :
( ~ product(g2,h,f,X0)
| h = X0 ),
inference(resolution,[],[f9,f33]) ).
fof(f1078,plain,
f = multiply(g2,g,h),
inference(subsumption_resolution,[],[f1077,f16]) ).
fof(f1077,plain,
( f = multiply(g2,g,h)
| ~ group_member(g,g2) ),
inference(subsumption_resolution,[],[f1076,f17]) ).
fof(f1076,plain,
( f = multiply(g2,g,h)
| ~ group_member(h,g2)
| ~ group_member(g,g2) ),
inference(resolution,[],[f178,f7]) ).
fof(f178,plain,
! [X0] :
( ~ product(g2,g,h,X0)
| f = X0 ),
inference(resolution,[],[f9,f35]) ).
fof(f1012,plain,
h = multiply(g2,g,g),
inference(subsumption_resolution,[],[f1011,f16]) ).
fof(f1011,plain,
( h = multiply(g2,g,g)
| ~ group_member(g,g2) ),
inference(duplicate_literal_removal,[],[f1010]) ).
fof(f1010,plain,
( h = multiply(g2,g,g)
| ~ group_member(g,g2)
| ~ group_member(g,g2) ),
inference(resolution,[],[f177,f7]) ).
fof(f177,plain,
! [X0] :
( ~ product(g2,g,g,X0)
| h = X0 ),
inference(resolution,[],[f9,f34]) ).
fof(f871,plain,
g = multiply(g2,g,f),
inference(subsumption_resolution,[],[f870,f16]) ).
fof(f870,plain,
( g = multiply(g2,g,f)
| ~ group_member(g,g2) ),
inference(subsumption_resolution,[],[f869,f15]) ).
fof(f869,plain,
( g = multiply(g2,g,f)
| ~ group_member(f,g2)
| ~ group_member(g,g2) ),
inference(resolution,[],[f176,f7]) ).
fof(f176,plain,
! [X0] :
( ~ product(g2,g,f,X0)
| g = X0 ),
inference(resolution,[],[f9,f31]) ).
fof(f809,plain,
h = multiply(g2,f,h),
inference(subsumption_resolution,[],[f808,f15]) ).
fof(f808,plain,
( h = multiply(g2,f,h)
| ~ group_member(f,g2) ),
inference(subsumption_resolution,[],[f807,f17]) ).
fof(f807,plain,
( h = multiply(g2,f,h)
| ~ group_member(h,g2)
| ~ group_member(f,g2) ),
inference(resolution,[],[f175,f7]) ).
fof(f175,plain,
! [X0] :
( ~ product(g2,f,h,X0)
| h = X0 ),
inference(resolution,[],[f9,f32]) ).
fof(f755,plain,
g = multiply(g2,f,g),
inference(subsumption_resolution,[],[f754,f15]) ).
fof(f754,plain,
( g = multiply(g2,f,g)
| ~ group_member(f,g2) ),
inference(subsumption_resolution,[],[f753,f16]) ).
fof(f753,plain,
( g = multiply(g2,f,g)
| ~ group_member(g,g2)
| ~ group_member(f,g2) ),
inference(resolution,[],[f174,f7]) ).
fof(f174,plain,
! [X0] :
( ~ product(g2,f,g,X0)
| g = X0 ),
inference(resolution,[],[f9,f30]) ).
fof(f688,plain,
f = multiply(g2,f,f),
inference(subsumption_resolution,[],[f687,f15]) ).
fof(f687,plain,
( f = multiply(g2,f,f)
| ~ group_member(f,g2) ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
( f = multiply(g2,f,f)
| ~ group_member(f,g2)
| ~ group_member(f,g2) ),
inference(resolution,[],[f173,f7]) ).
fof(f173,plain,
! [X0] :
( ~ product(g2,f,f,X0)
| f = X0 ),
inference(resolution,[],[f9,f29]) ).
fof(f585,plain,
b = multiply(g1,c,c),
inference(subsumption_resolution,[],[f584,f14]) ).
fof(f584,plain,
( b = multiply(g1,c,c)
| ~ group_member(c,g1) ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f583,plain,
( b = multiply(g1,c,c)
| ~ group_member(c,g1)
| ~ group_member(c,g1) ),
inference(resolution,[],[f171,f7]) ).
fof(f549,plain,
a = multiply(g1,c,b),
inference(subsumption_resolution,[],[f548,f14]) ).
fof(f548,plain,
( a = multiply(g1,c,b)
| ~ group_member(c,g1) ),
inference(subsumption_resolution,[],[f547,f13]) ).
fof(f547,plain,
( a = multiply(g1,c,b)
| ~ group_member(b,g1)
| ~ group_member(c,g1) ),
inference(resolution,[],[f170,f7]) ).
fof(f522,plain,
c = multiply(g1,c,a),
inference(subsumption_resolution,[],[f521,f14]) ).
fof(f521,plain,
( c = multiply(g1,c,a)
| ~ group_member(c,g1) ),
inference(subsumption_resolution,[],[f518,f12]) ).
fof(f518,plain,
( c = multiply(g1,c,a)
| ~ group_member(a,g1)
| ~ group_member(c,g1) ),
inference(resolution,[],[f169,f7]) ).
fof(f169,plain,
! [X0] :
( ~ product(g1,c,a,X0)
| c = X0 ),
inference(resolution,[],[f9,f24]) ).
fof(f500,plain,
a = multiply(g1,b,c),
inference(subsumption_resolution,[],[f499,f13]) ).
fof(f499,plain,
( a = multiply(g1,b,c)
| ~ group_member(b,g1) ),
inference(subsumption_resolution,[],[f498,f14]) ).
fof(f498,plain,
( a = multiply(g1,b,c)
| ~ group_member(c,g1)
| ~ group_member(b,g1) ),
inference(resolution,[],[f167,f7]) ).
fof(f457,plain,
c = multiply(g1,b,b),
inference(subsumption_resolution,[],[f456,f13]) ).
fof(f456,plain,
( c = multiply(g1,b,b)
| ~ group_member(b,g1) ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
( c = multiply(g1,b,b)
| ~ group_member(b,g1)
| ~ group_member(b,g1) ),
inference(resolution,[],[f166,f7]) ).
fof(f263,plain,
b = multiply(g1,b,a),
inference(subsumption_resolution,[],[f262,f13]) ).
fof(f262,plain,
( ~ group_member(b,g1)
| b = multiply(g1,b,a) ),
inference(subsumption_resolution,[],[f255,f12]) ).
fof(f255,plain,
( ~ group_member(a,g1)
| ~ group_member(b,g1)
| b = multiply(g1,b,a) ),
inference(resolution,[],[f7,f163]) ).
fof(f261,plain,
c = multiply(g1,a,c),
inference(subsumption_resolution,[],[f260,f12]) ).
fof(f260,plain,
( ~ group_member(a,g1)
| c = multiply(g1,a,c) ),
inference(subsumption_resolution,[],[f254,f14]) ).
fof(f254,plain,
( ~ group_member(c,g1)
| ~ group_member(a,g1)
| c = multiply(g1,a,c) ),
inference(resolution,[],[f7,f162]) ).
fof(f259,plain,
b = multiply(g1,a,b),
inference(subsumption_resolution,[],[f258,f12]) ).
fof(f258,plain,
( ~ group_member(a,g1)
| b = multiply(g1,a,b) ),
inference(subsumption_resolution,[],[f253,f13]) ).
fof(f253,plain,
( ~ group_member(b,g1)
| ~ group_member(a,g1)
| b = multiply(g1,a,b) ),
inference(resolution,[],[f7,f161]) ).
fof(f257,plain,
a = multiply(g1,a,a),
inference(subsumption_resolution,[],[f256,f12]) ).
fof(f256,plain,
( ~ group_member(a,g1)
| a = multiply(g1,a,a) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f252,plain,
( ~ group_member(a,g1)
| ~ group_member(a,g1)
| a = multiply(g1,a,a) ),
inference(resolution,[],[f7,f160]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,multiply(X0,X2,X3),X4)
| ~ product(X0,X1,X2,X5)
| product(X0,X5,X3,X4)
| ~ group_member(X3,X0)
| ~ group_member(X2,X0) ),
inference(resolution,[],[f11,f7]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,identity_for(X0),X2)
| ~ product(X0,X1,X3,X4)
| product(X0,X4,inverse(X0,X3),X2) ),
inference(resolution,[],[f11,f6]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,identity_for(X0),X2)
| ~ product(X0,X1,inverse(X0,X3),X4)
| product(X0,X4,X3,X2) ),
inference(resolution,[],[f11,f5]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,X2,X4)
| product(X0,X4,identity_for(X0),X3) ),
inference(resolution,[],[f11,f3]) ).
fof(f420,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,identity_for(X0),X4)
| product(X0,X4,X2,X3) ),
inference(resolution,[],[f11,f2]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,g,X1)
| ~ product(g2,X0,h,X2)
| product(g2,X2,h,X1) ),
inference(resolution,[],[f11,f37]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,f,X1)
| ~ product(g2,X0,h,X2)
| product(g2,X2,g,X1) ),
inference(resolution,[],[f11,f36]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,h,X1)
| ~ product(g2,X0,h,X2)
| product(g2,X2,f,X1) ),
inference(resolution,[],[f11,f33]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,f,X1)
| ~ product(g2,X0,g,X2)
| product(g2,X2,h,X1) ),
inference(resolution,[],[f11,f35]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,h,X1)
| ~ product(g2,X0,g,X2)
| product(g2,X2,g,X1) ),
inference(resolution,[],[f11,f34]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,g,X1)
| ~ product(g2,X0,g,X2)
| product(g2,X2,f,X1) ),
inference(resolution,[],[f11,f31]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,h,X1)
| ~ product(g2,X0,f,X2)
| product(g2,X2,h,X1) ),
inference(resolution,[],[f11,f32]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,g,X1)
| ~ product(g2,X0,f,X2)
| product(g2,X2,g,X1) ),
inference(resolution,[],[f11,f30]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,f,X1)
| ~ product(g2,X0,f,X2)
| product(g2,X2,f,X1) ),
inference(resolution,[],[f11,f29]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,c,X2)
| product(g1,X2,c,X1) ),
inference(resolution,[],[f11,f28]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,c,X2)
| product(g1,X2,b,X1) ),
inference(resolution,[],[f11,f27]) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,c,X1)
| ~ product(g1,X0,c,X2)
| product(g1,X2,a,X1) ),
inference(resolution,[],[f11,f24]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,b,X2)
| product(g1,X2,c,X1) ),
inference(resolution,[],[f11,f26]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,c,X1)
| ~ product(g1,X0,b,X2)
| product(g1,X2,b,X1) ),
inference(resolution,[],[f11,f25]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,b,X2)
| product(g1,X2,a,X1) ),
inference(resolution,[],[f11,f22]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,c,X1)
| ~ product(g1,X0,a,X2)
| product(g1,X2,c,X1) ),
inference(resolution,[],[f11,f23]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,a,X2)
| product(g1,X2,b,X1) ),
inference(resolution,[],[f11,f21]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,a,X2)
| product(g1,X2,a,X1) ),
inference(resolution,[],[f11,f20]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X7,X5] :
( ~ product(X0,X2,X3,X6)
| ~ product(X0,X1,X6,X7)
| ~ product(X0,X1,X2,X5)
| product(X0,X5,X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X2,X4,X5)
| product(X0,X1,X5,multiply(X0,X3,X4))
| ~ group_member(X4,X0)
| ~ group_member(X3,X0) ),
inference(resolution,[],[f10,f7]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X2,inverse(X0,X3),X4)
| product(X0,X1,X4,identity_for(X0)) ),
inference(resolution,[],[f10,f6]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,inverse(X0,X3))
| ~ product(X0,X2,X3,X4)
| product(X0,X1,X4,identity_for(X0)) ),
inference(resolution,[],[f10,f5]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X2,identity_for(X0),X4)
| product(X0,X1,X4,X3) ),
inference(resolution,[],[f10,f3]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,identity_for(X0))
| ~ product(X0,X2,X3,X4)
| product(X0,X1,X4,X3) ),
inference(resolution,[],[f10,f2]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,h)
| ~ product(g2,X1,h,X2)
| product(g2,X0,X2,g) ),
inference(resolution,[],[f10,f37]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,h)
| ~ product(g2,X1,g,X2)
| product(g2,X0,X2,f) ),
inference(resolution,[],[f10,f36]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,h)
| ~ product(g2,X1,f,X2)
| product(g2,X0,X2,h) ),
inference(resolution,[],[f10,f33]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,g)
| ~ product(g2,X1,h,X2)
| product(g2,X0,X2,f) ),
inference(resolution,[],[f10,f35]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,g)
| ~ product(g2,X1,g,X2)
| product(g2,X0,X2,h) ),
inference(resolution,[],[f10,f34]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,g)
| ~ product(g2,X1,f,X2)
| product(g2,X0,X2,g) ),
inference(resolution,[],[f10,f31]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,f)
| ~ product(g2,X1,h,X2)
| product(g2,X0,X2,h) ),
inference(resolution,[],[f10,f32]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,f)
| ~ product(g2,X1,g,X2)
| product(g2,X0,X2,g) ),
inference(resolution,[],[f10,f30]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ product(g2,X0,X1,f)
| ~ product(g2,X1,f,X2)
| product(g2,X0,X2,f) ),
inference(resolution,[],[f10,f29]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,c)
| ~ product(g1,X1,c,X2)
| product(g1,X0,X2,b) ),
inference(resolution,[],[f10,f28]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,c)
| ~ product(g1,X1,b,X2)
| product(g1,X0,X2,a) ),
inference(resolution,[],[f10,f27]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,c)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,c) ),
inference(resolution,[],[f10,f24]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,b)
| ~ product(g1,X1,c,X2)
| product(g1,X0,X2,a) ),
inference(resolution,[],[f10,f26]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,b)
| ~ product(g1,X1,b,X2)
| product(g1,X0,X2,c) ),
inference(resolution,[],[f10,f25]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,b)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,b) ),
inference(resolution,[],[f10,f22]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,c,X2)
| product(g1,X0,X2,c) ),
inference(resolution,[],[f10,f23]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,b,X2)
| product(g1,X0,X2,b) ),
inference(resolution,[],[f10,f21]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,a) ),
inference(resolution,[],[f10,f20]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X7,X5] :
( ~ product(X0,X5,X3,X7)
| ~ product(X0,X1,X2,X5)
| ~ product(X0,X2,X3,X6)
| product(X0,X1,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ group_member(X0,X1)
| ~ group_member(X2,X1)
| multiply(X1,X2,X0) = X3
| ~ product(X1,X2,X0,X3) ),
inference(resolution,[],[f7,f9]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2,multiply(X0,X1,X2))
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1_1) ).
fof(f163,plain,
! [X0] :
( ~ product(g1,b,a,X0)
| b = X0 ),
inference(resolution,[],[f9,f22]) ).
fof(f162,plain,
! [X0] :
( ~ product(g1,a,c,X0)
| c = X0 ),
inference(resolution,[],[f9,f23]) ).
fof(f161,plain,
! [X0] :
( ~ product(g1,a,b,X0)
| b = X0 ),
inference(resolution,[],[f9,f21]) ).
fof(f160,plain,
! [X0] :
( ~ product(g1,a,a,X0)
| a = X0 ),
inference(resolution,[],[f9,f20]) ).
fof(f185,plain,
! [X2,X0,X1] :
( identity_for(X1) = X0
| ~ product(X1,X2,inverse(X1,X2),X0) ),
inference(resolution,[],[f9,f6]) ).
fof(f184,plain,
! [X2,X0,X1] :
( identity_for(X1) = X0
| ~ product(X1,inverse(X1,X2),X2,X0) ),
inference(resolution,[],[f9,f5]) ).
fof(f183,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ product(X2,X1,identity_for(X2),X0) ),
inference(resolution,[],[f9,f3]) ).
fof(f182,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ product(X2,identity_for(X2),X1,X0) ),
inference(resolution,[],[f9,f2]) ).
fof(f52,plain,
( c = identity_for(g1)
| b = identity_for(g1)
| a = identity_for(g1) ),
inference(resolution,[],[f18,f1]) ).
fof(f138,plain,
! [X0,X1] :
( ~ group_member(X0,g2)
| ~ group_member(X1,g2)
| h = multiply(g2,X1,X0)
| g = multiply(g2,X1,X0)
| f = multiply(g2,X1,X0) ),
inference(resolution,[],[f8,f19]) ).
fof(f137,plain,
! [X0,X1] :
( ~ group_member(X0,g1)
| ~ group_member(X1,g1)
| c = multiply(g1,X1,X0)
| b = multiply(g1,X1,X0)
| a = multiply(g1,X1,X0) ),
inference(resolution,[],[f8,f18]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( group_member(multiply(X0,X1,X2),X0)
| ~ group_member(X2,X0)
| ~ group_member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1_2) ).
fof(f51,plain,
( c = d3
| b = d3
| a = d3 ),
inference(resolution,[],[f18,f43]) ).
fof(f100,plain,
! [X0] :
( h = inverse(g2,X0)
| g = inverse(g2,X0)
| f = inverse(g2,X0)
| ~ group_member(X0,g2) ),
inference(resolution,[],[f19,f4]) ).
fof(f99,plain,
( h = identity_for(g2)
| g = identity_for(g2)
| f = identity_for(g2) ),
inference(resolution,[],[f19,f1]) ).
fof(f19,axiom,
! [X1] :
( ~ group_member(X1,g2)
| h = X1
| g = X1
| f = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_of_group2) ).
fof(f50,plain,
( c = d2
| b = d2
| a = d2 ),
inference(resolution,[],[f18,f42]) ).
fof(f49,plain,
( c = d1
| b = d1
| a = d1 ),
inference(resolution,[],[f18,f41]) ).
fof(f53,plain,
! [X0] :
( c = inverse(g1,X0)
| b = inverse(g1,X0)
| a = inverse(g1,X0)
| ~ group_member(X0,g1) ),
inference(resolution,[],[f18,f4]) ).
fof(f18,axiom,
! [X1] :
( ~ group_member(X1,g1)
| c = X1
| b = X1
| a = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_of_group1) ).
fof(f6,axiom,
! [X0,X1] : product(X0,X1,inverse(X0,X1),identity_for(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,inverse(X0,X1),X1,identity_for(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X0,X1] :
( group_member(inverse(X0,X1),X0)
| ~ group_member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_in_group) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,identity_for(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f2,axiom,
! [X0,X1] : product(X0,identity_for(X0),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f36,axiom,
product(g2,h,g,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_times_g_is_f) ).
fof(f35,axiom,
product(g2,g,h,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_times_h_is_f) ).
fof(f33,axiom,
product(g2,h,f,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_times_f_is_h) ).
fof(f32,axiom,
product(g2,f,h,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_times_h_is_h) ).
fof(f31,axiom,
product(g2,g,f,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_times_f_is_g) ).
fof(f30,axiom,
product(g2,f,g,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_times_g_is_g) ).
fof(f29,axiom,
product(g2,f,f,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_times_f_is_f) ).
fof(f24,axiom,
product(g1,c,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_a_is_c) ).
fof(f23,axiom,
product(g1,a,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_c) ).
fof(f22,axiom,
product(g1,b,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_is_b) ).
fof(f21,axiom,
product(g1,a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_b) ).
fof(f20,axiom,
product(g1,a,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_a_is_a) ).
fof(f1,axiom,
! [X0] : group_member(identity_for(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_in_group) ).
fof(f38,axiom,
f = an_isomorphism(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_maps_to_f) ).
fof(f43,axiom,
group_member(d3,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_in_group1) ).
fof(f42,axiom,
group_member(d2,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_in_group1) ).
fof(f41,axiom,
group_member(d1,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_in_group1) ).
fof(f17,axiom,
group_member(h,g2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_in_group2) ).
fof(f16,axiom,
group_member(g,g2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_in_group2) ).
fof(f15,axiom,
group_member(f,g2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_in_group2) ).
fof(f14,axiom,
group_member(c,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_in_group1) ).
fof(f13,axiom,
group_member(b,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_group1) ).
fof(f12,axiom,
group_member(a,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_in_group1) ).
fof(f1524,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f110,f180,f1444,f181,f1448,f1498,f1414,f1418,f1297,f543]) ).
fof(f1522,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f110,f180,f1444,f181,f1448,f1498,f1414,f1418,f1297]) ).
fof(f1520,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1498,f1414,f1418]) ).
fof(f1518,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1517,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1498,f1414]) ).
fof(f1516,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f65,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1414,f1498]) ).
fof(f1514,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1414,f1498]) ).
fof(f1512,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f998,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1414,f1498]) ).
fof(f998,plain,
( b != c
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f60,f65]) ).
fof(f60,plain,
( b != d1
| spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f1510,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f357,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1414,f1498]) ).
fof(f357,plain,
( b != c
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f60,f65]) ).
fof(f1508,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f60,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f543,f171,f585,f173,f688,f174,f755,f113,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f110,f180,f1444,f181,f1448,f1418,f1414,f1498]) ).
fof(f1506,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452,f1495,f60]) ).
fof(f1495,plain,
( b = d1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f65,f699]) ).
fof(f1452,plain,
( product(g2,g,g,g)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f34,f1438]) ).
fof(f1453,plain,
( product(g2,g,g,f)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f35,f1438]) ).
fof(f1454,plain,
( product(g2,g,g,f)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f36,f1438]) ).
fof(f1455,plain,
( product(g2,g,g,g)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f37,f1438]) ).
fof(f1457,plain,
( ! [X0] :
( ~ product(g2,g,g,X0)
| f = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f178,f1438]) ).
fof(f1459,plain,
( ! [X0] :
( ~ product(g2,g,g,X0)
| f = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f180,f1438]) ).
fof(f1460,plain,
( ! [X0] :
( ~ product(g2,g,g,X0)
| g = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f181,f1438]) ).
fof(f1438,plain,
( g = h
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1429,f39]) ).
fof(f1429,plain,
( h = an_isomorphism(b)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f40,f699]) ).
fof(f1437,plain,
( a = multiply(g1,b,b)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f500,f699]) ).
fof(f1435,plain,
( ! [X0] :
( ~ product(g1,b,b,X0)
| b = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f171,f699]) ).
fof(f1434,plain,
( ! [X0] :
( ~ product(g1,b,b,X0)
| a = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f170,f699]) ).
fof(f1432,plain,
( ! [X0] :
( ~ product(g1,b,b,X0)
| a = X0 )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f167,f699]) ).
fof(f1428,plain,
( product(g1,b,b,b)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f28,f699]) ).
fof(f1427,plain,
( product(g1,b,b,a)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f27,f699]) ).
fof(f1426,plain,
( product(g1,b,b,a)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f26,f699]) ).
fof(f1425,plain,
( product(g1,b,b,b)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f25,f699]) ).
fof(f699,plain,
( b = c
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f114,f110]) ).
fof(f1421,plain,
( b = c
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f114,f110]) ).
fof(f1504,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f357,f699]) ).
fof(f1502,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f998,f699]) ).
fof(f1500,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1498,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452,f1495]) ).
fof(f1497,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1496,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452,f1495]) ).
fof(f1494,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1493,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1414,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452]) ).
fof(f1492,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1418,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452]) ).
fof(f1490,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1489,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1460,f1459,f1457,f1455,f1454,f1453,f1452]) ).
fof(f1488,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1460,f1459,f1457,f1455,f1454,f1453]) ).
fof(f1486,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1485]) ).
fof(f1485,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1460,f1459,f1457,f1455,f1454]) ).
fof(f1484,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1483,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1460,f1459,f1457,f1455]) ).
fof(f1482,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1481,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1460,f1459,f1457]) ).
fof(f1480,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1457,f1460,f1459]) ).
fof(f1478,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f65,f177,f1012,f998,f357,f178,f1078,f179,f1115,f60,f114,f110,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1457,f1459,f1460]) ).
fof(f1476,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1475,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1457,f1459,f1460]) ).
fof(f1420,plain,
( ~ product(g2,g,g,g)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1419,f39]) ).
fof(f1419,plain,
( ~ product(g2,an_isomorphism(b),g,g)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1418,f61]) ).
fof(f1415,plain,
( product(g1,b,b,b)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1414,f61]) ).
fof(f1235,plain,
( product(g1,b,b,d3)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1045,f61]) ).
fof(f1207,plain,
( ~ product(g2,g,g,an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1206,f39]) ).
fof(f1206,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(b),an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1203,f80]) ).
fof(f1203,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(superposition,[],[f45,f61]) ).
fof(f1224,plain,
( product(g1,b,b,b)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1223,f61]) ).
fof(f1223,plain,
( product(g1,d1,b,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1045,f110]) ).
fof(f1219,plain,
( ~ product(g2,g,g,g)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1218,f39]) ).
fof(f1218,plain,
( ~ product(g2,an_isomorphism(b),g,g)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1217,f61]) ).
fof(f1217,plain,
( ~ product(g2,an_isomorphism(d1),g,g)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1216,f39]) ).
fof(f1216,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),g)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1215,f80]) ).
fof(f1215,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),g)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1211,f39]) ).
fof(f1211,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_8 ),
inference(superposition,[],[f45,f110]) ).
fof(f1214,plain,
( product(g1,b,b,b)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1213,f61]) ).
fof(f1213,plain,
( product(g1,d1,b,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1210,f80]) ).
fof(f1210,plain,
( product(g1,d1,d2,b)
| ~ spl0_8 ),
inference(superposition,[],[f44,f110]) ).
fof(f1208,plain,
( product(g1,b,b,d3)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1204,f80]) ).
fof(f1204,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f71,plain,
( ~ product(g2,g,an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f68,f39]) ).
fof(f68,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(superposition,[],[f45,f61]) ).
fof(f69,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f1474,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1457,f1459]) ).
fof(f1471,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1470,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455,f1457]) ).
fof(f1468,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1467,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454,f1455]) ).
fof(f1466,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1465]) ).
fof(f1465,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453,f1454]) ).
fof(f1464,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1463,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452,f1453]) ).
fof(f1462,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1461,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f61,f1208,f1214,f1219,f1224,f114,f1207,f1235,f110,f1415,f1420,f1421,f699,f1425,f1426,f1427,f1428,f1432,f1434,f1435,f1437,f180,f1444,f181,f1448,f1438,f1452]) ).
fof(f1408,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f180,f72,f1258,f114,f699,f110]) ).
fof(f1258,plain,
( b != c
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f64,f61]) ).
fof(f72,plain,
( b != c
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f64,f61]) ).
fof(f1073,plain,
( b != c
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f64,f61]) ).
fof(f64,plain,
( c != d1
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f1406,plain,
( ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1405,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f221,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114,f699]) ).
fof(f221,plain,
( a != b
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f105,f110]) ).
fof(f105,plain,
( a != d3
| spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_7
<=> a = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1404,plain,
( ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f535,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114,f699]) ).
fof(f535,plain,
( a != b
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f105,f110]) ).
fof(f1402,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114,f699]) ).
fof(f1400,plain,
( ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1399,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1212,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114]) ).
fof(f1212,plain,
( a != b
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f105,f110]) ).
fof(f1398,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1397,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1297,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114]) ).
fof(f1396,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1395,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f663,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114]) ).
fof(f663,plain,
( a != c
| spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f75,f84]) ).
fof(f75,plain,
( a != d2
| spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_4
<=> a = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1394,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f857,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114]) ).
fof(f857,plain,
( a != c
| spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f75,f84]) ).
fof(f1392,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f180,f72,f1258,f114]) ).
fof(f1390,plain,
( ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f268,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f268,plain,
( a != c
| spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f105,f114]) ).
fof(f1388,plain,
( ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f718,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f718,plain,
( a != c
| spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f105,f114]) ).
fof(f1386,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1385,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1265,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f1265,plain,
( a != c
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f149,f142]) ).
fof(f1384,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1383,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f158,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f1382,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1381]) ).
fof(f1381,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f981,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f981,plain,
( a != c
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f149,f142]) ).
fof(f1380,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f180,f72,f1258]) ).
fof(f1378,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
fof(f1377,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f180,f72]) ).
fof(f1376,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1374,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f67,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f67,plain,
( a != b
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f61]) ).
fof(f56,plain,
( a != d1
| spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_1
<=> a = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1372,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f650,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f650,plain,
( a != b
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f75,f80]) ).
fof(f1370,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f740,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f740,plain,
( a != b
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f75,f80]) ).
fof(f1368,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f985,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f985,plain,
( a != b
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f61]) ).
fof(f1366,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1043,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1043,plain,
( a != b
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f75,f80]) ).
fof(f1364,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1363,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1063,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1063,plain,
( a != b
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f61]) ).
fof(f1362,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1361,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1202,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1202,plain,
( a != b
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f61]) ).
fof(f1360,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1207,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1358,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1235,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1356,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f157,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1354,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1353,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f1350,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f69,f71,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f699,f174,f755,f175,f809,f176,f871,f177,f1012,f64,f1073,f178,f1078,f179,f1115,f61,f110,f114,f1258,f72,f180]) ).
fof(f1350,plain,
( a != b
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f145,f142]) ).
fof(f1352,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f1350,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f719,plain,
( b != c
| spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f109,f114]) ).
fof(f1349,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f157,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1347,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1346,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1235,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1345,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1207,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1343,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1202,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1341,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1340,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1063,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1339,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1043,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1337,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1336,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f985,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1335,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f740,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1333,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1332,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f650,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1331,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f67,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1329,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1297,f109,f269,f719,f114,f180]) ).
fof(f1327,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f72,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1325,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1258,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1323,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1322,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f981,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1321,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f158,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1319,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1265,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1317,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f718,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1315,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1314,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f268,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1313,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1312,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f1297,f109,f269,f719,f114]) ).
fof(f1311,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1310,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f1297,f109,f269,f719]) ).
fof(f1309,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1308,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f719,f1297,f109,f269]) ).
fof(f1307,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f719,f269,f1297,f109]) ).
fof(f1305,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f857,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f719,f269,f109,f1297]) ).
fof(f1303,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1302,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f663,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f719,f269,f109,f1297]) ).
fof(f1301,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f174,f755,f175,f809,f84,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f180,f114,f719,f269,f109,f1297]) ).
fof(f1299,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f1297,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f453,plain,
( b != c
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f149,f146]) ).
fof(f458,plain,
( a = b
| ~ spl0_11 ),
inference(resolution,[],[f450,f161]) ).
fof(f459,plain,
( b = c
| ~ spl0_11 ),
inference(resolution,[],[f450,f166]) ).
fof(f462,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,X1,b,X0) )
| ~ spl0_11 ),
inference(resolution,[],[f450,f9]) ).
fof(f461,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,b,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_11 ),
inference(resolution,[],[f450,f10]) ).
fof(f460,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,X1,X3)
| product(g1,X3,b,X2) )
| ~ spl0_11 ),
inference(resolution,[],[f450,f11]) ).
fof(f450,plain,
( ! [X0] : product(g1,X0,b,X0)
| ~ spl0_11 ),
inference(superposition,[],[f3,f146]) ).
fof(f451,plain,
( ! [X0] : product(g1,b,X0,X0)
| ~ spl0_11 ),
inference(superposition,[],[f2,f146]) ).
fof(f449,plain,
( ! [X0] : product(g1,inverse(g1,X0),X0,b)
| ~ spl0_11 ),
inference(superposition,[],[f5,f146]) ).
fof(f448,plain,
( ! [X0] : product(g1,X0,inverse(g1,X0),b)
| ~ spl0_11 ),
inference(superposition,[],[f6,f146]) ).
fof(f146,plain,
( b = identity_for(g1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f1296,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
fof(f1295,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f663,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1294,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1293,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f857,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1292,plain,
( spl0_8
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1291,plain,
( $false
| spl0_8
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f109,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1290,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1289,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f269,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1288,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1287,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f719,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1286,plain,
( ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1285,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f114,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1284,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1283,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f268,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1282,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f718,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1280,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1279,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f1278,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1278,plain,
( a = b
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f146,f142]) ).
fof(f1277,plain,
( ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f149,f173,f688,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f180,f459,f458,f453]) ).
fof(f1275,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1274,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f269,f114,f719,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f179,f1115,f109,f180,f459,f458]) ).
fof(f1273,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1272,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f269,f114,f719,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f178,f1078,f179,f1115,f109,f180,f459]) ).
fof(f1271,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f626,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f626,plain,
( a = b
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f146,f142]) ).
fof(f1269,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f842,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f842,plain,
( a = b
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f146,f142]) ).
fof(f1267,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1266,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f1265,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1264,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f158,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1262,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f981,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1260,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f1258,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1257,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1256,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f72,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1255,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1254,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650,f180]) ).
fof(f1253,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f67,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650]) ).
fof(f1251,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1250,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f1043,f740,f650]) ).
fof(f1249,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f1043,f740]) ).
fof(f1247,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f985,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1245,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1244]) ).
fof(f1244,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1243,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f1063,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1241,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1240,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f1202,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1239,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1238,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f1207,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1237,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(global_subsumption,[],[f1235,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f75,f173,f688,f174,f755,f175,f809,f458,f176,f871,f177,f1012,f80,f178,f1078,f179,f1115,f1174,f1171,f1166,f1045,f1061,f650,f740,f1043]) ).
fof(f1234,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1233,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1229,f157]) ).
fof(f1229,plain,
( a = b
| ~ spl0_10
| ~ spl0_12 ),
inference(resolution,[],[f1097,f163]) ).
fof(f1097,plain,
( product(g1,b,a,a)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f26,f898]) ).
fof(f898,plain,
( a = c
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f150,f142]) ).
fof(f150,plain,
( c = identity_for(g1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f1197,plain,
( spl0_2
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1196]) ).
fof(f1196,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f60,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115,f105]) ).
fof(f441,plain,
( a = c
| ~ spl0_12 ),
inference(resolution,[],[f432,f162]) ).
fof(f444,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,X1,c,X0) )
| ~ spl0_12 ),
inference(resolution,[],[f432,f9]) ).
fof(f443,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,c,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_12 ),
inference(resolution,[],[f432,f10]) ).
fof(f442,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,X1,X3)
| product(g1,X3,c,X2) )
| ~ spl0_12 ),
inference(resolution,[],[f432,f11]) ).
fof(f432,plain,
( ! [X0] : product(g1,X0,c,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f150]) ).
fof(f433,plain,
( ! [X0] : product(g1,c,X0,X0)
| ~ spl0_12 ),
inference(superposition,[],[f2,f150]) ).
fof(f431,plain,
( ! [X0] : product(g1,inverse(g1,X0),X0,c)
| ~ spl0_12 ),
inference(superposition,[],[f5,f150]) ).
fof(f430,plain,
( ! [X0] : product(g1,X0,inverse(g1,X0),c)
| ~ spl0_12 ),
inference(superposition,[],[f6,f150]) ).
fof(f1195,plain,
( spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1193,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115,f105]) ).
fof(f1193,plain,
( a != b
| spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f357,f898]) ).
fof(f1192,plain,
( spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1190,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115,f105]) ).
fof(f1190,plain,
( a != b
| spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f998,f898]) ).
fof(f1189,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1187,f56]) ).
fof(f1187,plain,
( a = d1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f65,f898]) ).
fof(f1186,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f358,f898]) ).
fof(f358,plain,
( a != c
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f56,f65]) ).
fof(f1184,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f999,f898]) ).
fof(f999,plain,
( a != c
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f56,f65]) ).
fof(f1182,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115,f105]) ).
fof(f1180,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f268,f898]) ).
fof(f1178,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f718,f898]) ).
fof(f1176,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1174,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1173,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1171,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1170,plain,
( spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f109,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1168,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1166,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1165,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1164,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1045,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1163,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1061,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1161,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f157,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1159,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f855,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f855,plain,
( a != b
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f145,f142]) ).
fof(f1157,plain,
( spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f650,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1155,plain,
( spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f740,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1153,plain,
( spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1043,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1151,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1149,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1149,plain,
( a = d3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f114,f898]) ).
fof(f1148,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1146,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1146,plain,
( a != b
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1074,f898]) ).
fof(f1074,plain,
( b != c
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f83,f80]) ).
fof(f83,plain,
( c != d2
| spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f1145,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1143,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1143,plain,
( a != b
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f751,f898]) ).
fof(f751,plain,
( b != c
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f83,f80]) ).
fof(f1142,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1140,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1140,plain,
( a != b
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f428,f898]) ).
fof(f428,plain,
( b != c
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f145,f150]) ).
fof(f1139,plain,
( spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1137,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1137,plain,
( a != b
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f719,f898]) ).
fof(f1136,plain,
( spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1134,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1134,plain,
( a != b
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f269,f898]) ).
fof(f1133,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1132,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1096,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1096,plain,
( product(g1,b,b,a)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f25,f898]) ).
fof(f1131,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1119,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f268,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f170,f549,f171,f585,f150,f173,f688,f114,f174,f755,f175,f809,f176,f871,f177,f1012,f178,f1078,f441,f179,f1115]) ).
fof(f1119,plain,
( product(g2,g,g,f)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f34,f1109]) ).
fof(f1109,plain,
( f = h
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1100,f38]) ).
fof(f1100,plain,
( h = an_isomorphism(a)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f40,f898]) ).
fof(f1127,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1119,f1070]) ).
fof(f1070,plain,
( ~ product(g2,g,g,f)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1069,f39]) ).
fof(f1069,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(b),f)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1068,f80]) ).
fof(f1068,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),f)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1067,f38]) ).
fof(f1067,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1064,f106]) ).
fof(f106,plain,
( a = d3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f1064,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(superposition,[],[f45,f61]) ).
fof(f1090,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f1085,f136]) ).
fof(f136,plain,
( a != c
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f113,f106]) ).
fof(f1085,plain,
( a = c
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f1072,f166]) ).
fof(f1072,plain,
( product(g1,b,b,a)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1071,f80]) ).
fof(f1071,plain,
( product(g1,b,d2,a)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1065,f106]) ).
fof(f1065,plain,
( product(g1,b,d2,d3)
| ~ spl0_2 ),
inference(superposition,[],[f44,f61]) ).
fof(f1053,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1051,f36]) ).
fof(f1051,plain,
( ~ product(g2,h,g,f)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1050,f40]) ).
fof(f1050,plain,
( ~ product(g2,an_isomorphism(c),g,f)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1049,f65]) ).
fof(f1049,plain,
( ~ product(g2,an_isomorphism(d1),g,f)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1048,f39]) ).
fof(f1048,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),f)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1047,f38]) ).
fof(f1047,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(a))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1044,f106]) ).
fof(f1033,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1032,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f171,f585,f145,f472,f142,f674,f675,f173,f688,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f177,f1012,f855,f157,f1031]) ).
fof(f1031,plain,
( a = b
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f110,f106]) ).
fof(f771,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,a,X1,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f677,f9]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,X2,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f677,f10]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,a,X3)
| product(g1,X3,X1,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f677,f11]) ).
fof(f677,plain,
( ! [X0] : product(g1,a,X0,X0)
| ~ spl0_10 ),
inference(superposition,[],[f2,f142]) ).
fof(f765,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,X1,a,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f676,f9]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,a,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f676,f10]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,X1,X3)
| product(g1,X3,a,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f676,f11]) ).
fof(f676,plain,
( ! [X0] : product(g1,X0,a,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f142]) ).
fof(f675,plain,
( ! [X0] : product(g1,inverse(g1,X0),X0,a)
| ~ spl0_10 ),
inference(superposition,[],[f5,f142]) ).
fof(f674,plain,
( ! [X0] : product(g1,X0,inverse(g1,X0),a)
| ~ spl0_10 ),
inference(superposition,[],[f6,f142]) ).
fof(f472,plain,
( a != b
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f145,f142]) ).
fof(f514,plain,
( ! [X0,X1] :
( a = X0
| ~ product(g1,inverse(g1,X1),X1,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f468,f9]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,inverse(g1,X2))
| ~ product(g1,X1,X2,X3)
| product(g1,X0,X3,a) )
| ~ spl0_10 ),
inference(resolution,[],[f468,f10]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,inverse(g1,X2),X3)
| product(g1,X3,X2,X1) )
| ~ spl0_10 ),
inference(resolution,[],[f468,f11]) ).
fof(f468,plain,
( ! [X0] : product(g1,inverse(g1,X0),X0,a)
| ~ spl0_10 ),
inference(superposition,[],[f5,f142]) ).
fof(f511,plain,
( ! [X0,X1] :
( a = X0
| ~ product(g1,X1,inverse(g1,X1),X0) )
| ~ spl0_10 ),
inference(resolution,[],[f467,f9]) ).
fof(f510,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,inverse(g1,X2),X3)
| product(g1,X0,X3,a) )
| ~ spl0_10 ),
inference(resolution,[],[f467,f10]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,X2,X3)
| product(g1,X3,inverse(g1,X2),X1) )
| ~ spl0_10 ),
inference(resolution,[],[f467,f11]) ).
fof(f467,plain,
( ! [X0] : product(g1,X0,inverse(g1,X0),a)
| ~ spl0_10 ),
inference(superposition,[],[f6,f142]) ).
fof(f484,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,a,X1,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f470,f9]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,X2,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f470,f10]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,a,X3)
| product(g1,X3,X1,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f470,f11]) ).
fof(f470,plain,
( ! [X0] : product(g1,a,X0,X0)
| ~ spl0_10 ),
inference(superposition,[],[f2,f142]) ).
fof(f478,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,X1,a,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f469,f9]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,a,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f469,f10]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X0,X1,X3)
| product(g1,X3,a,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f469,f11]) ).
fof(f469,plain,
( ! [X0] : product(g1,X0,a,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f142]) ).
fof(f285,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,X2,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f10,f155]) ).
fof(f284,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,inverse(g1,X2))
| ~ product(g1,X1,X2,X3)
| product(g1,X0,X3,a) )
| ~ spl0_10 ),
inference(resolution,[],[f10,f153]) ).
fof(f283,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,inverse(g1,X2),X3)
| product(g1,X0,X3,a) )
| ~ spl0_10 ),
inference(resolution,[],[f10,f152]) ).
fof(f282,plain,
( ! [X2,X3,X0,X1] :
( ~ product(g1,X0,X1,X2)
| ~ product(g1,X1,a,X3)
| product(g1,X0,X3,X2) )
| ~ spl0_10 ),
inference(resolution,[],[f10,f154]) ).
fof(f194,plain,
( ! [X0,X1] :
( a = X0
| ~ product(g1,inverse(g1,X1),X1,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f153,f9]) ).
fof(f153,plain,
( ! [X0] : product(g1,inverse(g1,X0),X0,a)
| ~ spl0_10 ),
inference(superposition,[],[f5,f142]) ).
fof(f193,plain,
( ! [X0,X1] :
( a = X0
| ~ product(g1,X1,inverse(g1,X1),X0) )
| ~ spl0_10 ),
inference(resolution,[],[f152,f9]) ).
fof(f152,plain,
( ! [X0] : product(g1,X0,inverse(g1,X0),a)
| ~ spl0_10 ),
inference(superposition,[],[f6,f142]) ).
fof(f192,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,a,X1,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f155,f9]) ).
fof(f155,plain,
( ! [X0] : product(g1,a,X0,X0)
| ~ spl0_10 ),
inference(superposition,[],[f2,f142]) ).
fof(f159,plain,
( ! [X0,X1] :
( X0 = X1
| ~ product(g1,X1,a,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f9,f154]) ).
fof(f154,plain,
( ! [X0] : product(g1,X0,a,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f142]) ).
fof(f1030,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f145,f472,f142,f674,f675,f173,f688,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f84,f176,f871,f866,f863,f910,f913,f917,f921,f925,f65,f177,f1012,f1006,f1017,f1018,f1008,f1020,f1021,f1022,f1019,f855,f157]) ).
fof(f1019,plain,
( a = b
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1008,f171]) ).
fof(f1022,plain,
( ! [X0] :
( a = X0
| ~ product(g1,c,c,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1008,f9]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,c)
| ~ product(g1,X1,c,X2)
| product(g1,X0,X2,a) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1008,f10]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,c,X2)
| product(g1,X2,c,X1) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1008,f11]) ).
fof(f1008,plain,
( product(g1,c,c,a)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1007,f84]) ).
fof(f1007,plain,
( product(g1,c,d2,a)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1001,f106]) ).
fof(f1001,plain,
( product(g1,c,d2,d3)
| ~ spl0_3 ),
inference(superposition,[],[f44,f65]) ).
fof(f1018,plain,
( product(g1,c,c,a)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f913,f65]) ).
fof(f1017,plain,
( product(g1,c,c,a)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f866,f65]) ).
fof(f1006,plain,
( ~ product(g2,h,h,f)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1005,f40]) ).
fof(f1005,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(c),f)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1004,f84]) ).
fof(f1004,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),f)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1003,f38]) ).
fof(f1003,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1000,f106]) ).
fof(f1000,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_3 ),
inference(superposition,[],[f45,f65]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( product(g1,X0,X2,a)
| ~ product(g1,X1,c,X2)
| ~ product(g1,X0,X1,d1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f924,f106]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X1,c,X2)
| ~ product(g1,X0,X1,d1)
| product(g1,X0,X2,d3) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f295,f84]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( product(g1,X2,c,X1)
| ~ product(g1,X0,a,X1)
| ~ product(g1,X0,d1,X2) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f920,f84]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,a,X1)
| ~ product(g1,X0,d1,X2)
| product(g1,X2,d2,X1) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f410,f106]) ).
fof(f917,plain,
( ~ product(g2,an_isomorphism(d1),h,f)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f916,f40]) ).
fof(f916,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),f)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f798,f84]) ).
fof(f798,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),f)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f794,f38]) ).
fof(f794,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_7 ),
inference(superposition,[],[f45,f106]) ).
fof(f913,plain,
( product(g1,d1,c,a)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f793,f84]) ).
fof(f793,plain,
( product(g1,d1,d2,a)
| ~ spl0_7 ),
inference(superposition,[],[f44,f106]) ).
fof(f910,plain,
( ! [X0] :
( ~ product(g1,d1,c,X0)
| a = X0 )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f853,f84]) ).
fof(f853,plain,
( ! [X0] :
( a = X0
| ~ product(g1,d1,d2,X0) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f172,f106]) ).
fof(f863,plain,
( ~ product(g2,an_isomorphism(d1),h,f)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f862,f40]) ).
fof(f862,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),f)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f861,f38]) ).
fof(f861,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(a))
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f858,f106]) ).
fof(f858,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f45,f84]) ).
fof(f866,plain,
( product(g1,d1,c,a)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f859,f106]) ).
fof(f859,plain,
( product(g1,d1,c,d3)
| ~ spl0_6 ),
inference(superposition,[],[f44,f84]) ).
fof(f1028,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1027,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f145,f472,f142,f674,f675,f173,f688,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f157,f84,f176,f871,f866,f863,f910,f913,f917,f921,f925,f65,f177,f1012,f1006,f1017,f1018,f1008,f1020,f1021,f1022,f1019,f855]) ).
fof(f1026,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1025,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f145,f472,f142,f674,f675,f173,f688,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f157,f855,f84,f176,f871,f866,f863,f910,f913,f917,f921,f925,f65,f177,f1012,f1006,f1017,f1018,f1008,f1020,f1021,f1022,f1019]) ).
fof(f1024,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1019,f135]) ).
fof(f135,plain,
( a != b
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f109,f106]) ).
fof(f995,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f993,f35]) ).
fof(f993,plain,
( ~ product(g2,g,h,f)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f992,f39]) ).
fof(f992,plain,
( ~ product(g2,an_isomorphism(b),h,f)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f991,f40]) ).
fof(f991,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(c),f)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f990,f84]) ).
fof(f990,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),f)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f989,f38]) ).
fof(f989,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f986,f106]) ).
fof(f986,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_2 ),
inference(superposition,[],[f45,f61]) ).
fof(f983,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345,f158,f981]) ).
fof(f345,plain,
( a = c
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f114,f106]) ).
fof(f340,plain,
( a = c
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f106,f114]) ).
fof(f940,plain,
( a = c
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f114,f106]) ).
fof(f473,plain,
( a != c
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f149,f142]) ).
fof(f980,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f979,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345,f158]) ).
fof(f978,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f866,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f976,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f863,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f974,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f910,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f972,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f971,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f913,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f970,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f917,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f968,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f921,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f966,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f925,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f964,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f663,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f962,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f857,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f960,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f940,f340,f345]) ).
fof(f958,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f345,f940,f340]) ).
fof(f956,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f345,f340,f940]) ).
fof(f954,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f64,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f345,f340,f940]) ).
fof(f952,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f61,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f345,f340,f940]) ).
fof(f950,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f56,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f149,f473,f158,f142,f674,f675,f173,f688,f114,f174,f755,f676,f763,f764,f765,f677,f769,f770,f771,f106,f175,f809,f176,f871,f345,f340,f940]) ).
fof(f948,plain,
( spl0_1
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| spl0_1
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f56,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f946,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f61,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f944,plain,
( spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f64,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f942,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f940,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f939,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f938,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f340,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f937,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f936,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f345,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f935,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f441,f663,f857]) ).
fof(f933,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f441,f663]) ).
fof(f931,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f929,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f928,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f898,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f927,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f925,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f923,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f921,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f919,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f917,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f915,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f913,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f912,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f910,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f909,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f863,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f907,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f866,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f75,f173,f688,f174,f755,f175,f809,f84,f176,f871,f857,f663,f441]) ).
fof(f905,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f904,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f903,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136,f397,f441]) ).
fof(f397,plain,
( a != c
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f113,f106]) ).
fof(f803,plain,
( a != c
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f113,f106]) ).
fof(f903,plain,
( a = c
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f65,f57]) ).
fof(f57,plain,
( a = d1
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f902,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f901,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f339,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136,f397,f441]) ).
fof(f339,plain,
( a = c
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f65,f57]) ).
fof(f900,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f898,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136,f397,f441]) ).
fof(f897,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f896,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136,f397,f441]) ).
fof(f895,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136,f397]) ).
fof(f893,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f892,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f397,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803,f136]) ).
fof(f891,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f890,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f397,f136,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871,f803]) ).
fof(f889,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f663,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f397,f136,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871]) ).
fof(f887,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f886,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f857,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f397,f136,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871]) ).
fof(f885,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f878,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f397,f136,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f173,f688,f174,f755,f113,f106,f175,f809,f176,f871]) ).
fof(f878,plain,
( a = c
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f867,f162]) ).
fof(f867,plain,
( product(g1,a,c,a)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f866,f57]) ).
fof(f883,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f878,f158]) ).
fof(f844,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f842,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344,f458]) ).
fof(f344,plain,
( a != b
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f109,f106]) ).
fof(f795,plain,
( a != b
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f109,f106]) ).
fof(f841,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344,f458]) ).
fof(f839,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f459,f751]) ).
fof(f837,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f626,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f835,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f250,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f250,plain,
( a != b
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f60,f57]) ).
fof(f833,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f566,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f566,plain,
( a != b
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f60,f57]) ).
fof(f831,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f650,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f829,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f740,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f827,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135,f344]) ).
fof(f825,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795,f135]) ).
fof(f823,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f173,f688,f109,f174,f755,f106,f175,f809,f795]) ).
fof(f821,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f820,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11 ),
inference(global_subsumption,[],[f814,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f458,f75,f650,f173,f688,f80,f174,f755,f175,f809]) ).
fof(f814,plain,
( a = b
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f797,f161]) ).
fof(f797,plain,
( product(g1,a,b,a)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f796,f57]) ).
fof(f796,plain,
( product(g1,d1,b,a)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f793,f80]) ).
fof(f819,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f818,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f814,f157]) ).
fof(f779,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f774,f751]) ).
fof(f774,plain,
( b = c
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f750,f161]) ).
fof(f750,plain,
( product(g1,a,b,c)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f749,f57]) ).
fof(f749,plain,
( product(g1,d1,b,c)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f742,f114]) ).
fof(f742,plain,
( product(g1,d1,b,d3)
| ~ spl0_5 ),
inference(superposition,[],[f44,f80]) ).
fof(f728,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f726,f32]) ).
fof(f726,plain,
( ~ product(g2,f,h,h)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f725,f38]) ).
fof(f725,plain,
( ~ product(g2,an_isomorphism(a),h,h)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f724,f57]) ).
fof(f724,plain,
( ~ product(g2,an_isomorphism(d1),h,h)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f723,f40]) ).
fof(f723,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),h)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f722,f84]) ).
fof(f722,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),h)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f717,f40]) ).
fof(f717,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(c))
| ~ spl0_9 ),
inference(superposition,[],[f45,f114]) ).
fof(f701,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f114,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f110,f170,f549,f171,f585,f79,f84,f173,f688,f662,f699]) ).
fof(f662,plain,
( b != c
| spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f79,f84]) ).
fof(f79,plain,
( b != d2
| spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f698,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f110,f170,f549,f57,f171,f585,f574,f629,f630,f632,f633,f635,f637,f79,f84,f671,f173,f688,f689,f690,f673,f692,f693,f694,f691,f662]) ).
fof(f691,plain,
( b = c
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f673,f162]) ).
fof(f694,plain,
( ! [X0] :
( b = X0
| ~ product(g1,a,c,X0) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f673,f9]) ).
fof(f693,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,c,X2)
| product(g1,X0,X2,b) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f673,f10]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,a,X2)
| product(g1,X2,c,X1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f673,f11]) ).
fof(f673,plain,
( product(g1,a,c,b)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f672,f57]) ).
fof(f672,plain,
( product(g1,d1,c,b)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f665,f110]) ).
fof(f665,plain,
( product(g1,d1,c,d3)
| ~ spl0_6 ),
inference(superposition,[],[f44,f84]) ).
fof(f690,plain,
( product(g1,a,c,b)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f633,f84]) ).
fof(f689,plain,
( product(g1,a,c,b)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f574,f84]) ).
fof(f671,plain,
( ~ product(g2,f,h,g)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f670,f38]) ).
fof(f670,plain,
( ~ product(g2,an_isomorphism(a),h,g)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f669,f57]) ).
fof(f669,plain,
( ~ product(g2,an_isomorphism(d1),h,g)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f668,f40]) ).
fof(f668,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),g)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f667,f39]) ).
fof(f667,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(b))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f664,f110]) ).
fof(f664,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f45,f84]) ).
fof(f637,plain,
( ! [X0] :
( ~ product(g1,a,d2,X0)
| b = X0 )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f636,f57]) ).
fof(f636,plain,
( ! [X0] :
( b = X0
| ~ product(g1,d1,d2,X0) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f172,f110]) ).
fof(f635,plain,
( ! [X2,X0,X1] :
( product(g1,X0,X2,b)
| ~ product(g1,X0,X1,a)
| ~ product(g1,X1,d2,X2) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f634,f110]) ).
fof(f634,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,d2,X2)
| product(g1,X0,X2,d3) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f295,f57]) ).
fof(f633,plain,
( product(g1,a,d2,b)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f533,f57]) ).
fof(f533,plain,
( product(g1,d1,d2,b)
| ~ spl0_8 ),
inference(superposition,[],[f44,f110]) ).
fof(f632,plain,
( ~ product(g2,f,an_isomorphism(d2),g)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f631,f38]) ).
fof(f631,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),g)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f538,f57]) ).
fof(f538,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),g)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f534,f39]) ).
fof(f534,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_8 ),
inference(superposition,[],[f45,f110]) ).
fof(f630,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,a,X2)
| ~ product(g1,X0,b,X1)
| product(g1,X2,d2,X1) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f561,f57]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,d1,X2)
| product(g1,X2,d2,X1) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f410,f110]) ).
fof(f629,plain,
( ~ product(g2,f,an_isomorphism(d2),g)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f571,f38]) ).
fof(f571,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),g)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f570,f39]) ).
fof(f570,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f567,f110]) ).
fof(f567,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_1 ),
inference(superposition,[],[f45,f57]) ).
fof(f574,plain,
( product(g1,a,d2,b)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f568,f110]) ).
fof(f568,plain,
( product(g1,a,d2,d3)
| ~ spl0_1 ),
inference(superposition,[],[f44,f57]) ).
fof(f696,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f691,f543]) ).
fof(f659,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f657,f30]) ).
fof(f657,plain,
( ~ product(g2,f,g,g)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f656,f38]) ).
fof(f656,plain,
( ~ product(g2,an_isomorphism(a),g,g)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f655,f57]) ).
fof(f655,plain,
( ~ product(g2,an_isomorphism(d1),g,g)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f654,f39]) ).
fof(f654,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(b))
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f651,f110]) ).
fof(f651,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(d3))
| ~ spl0_5 ),
inference(superposition,[],[f45,f80]) ).
fof(f649,plain,
( spl0_4
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| spl0_4
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f75,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f429,f141]) ).
fof(f141,plain,
( a != identity_for(g1)
| spl0_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f429,plain,
( a != c
| spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f141,f150]) ).
fof(f647,plain,
( spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f429,f141]) ).
fof(f645,plain,
( spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f141,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f171,f585,f441,f150,f429]) ).
fof(f643,plain,
( ~ spl0_1
| spl0_3
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f145,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f64,f57,f171,f585,f576,f264,f441,f150]) ).
fof(f264,plain,
( a != c
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f64,f57]) ).
fof(f576,plain,
( a != c
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f64,f57]) ).
fof(f641,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f64,f57,f171,f585,f576,f264,f441,f150]) ).
fof(f639,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_12 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f150,f430,f431,f433,f432,f442,f443,f444,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f170,f549,f64,f57,f171,f585,f576,f264,f441]) ).
fof(f628,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f626,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f171,f585,f221,f535,f458]) ).
fof(f625,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f146,f448,f449,f451,f166,f450,f460,f461,f462,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f171,f585,f221,f535,f458]) ).
fof(f623,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f459,f543]) ).
fof(f621,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f587,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f607,f221,f535]) ).
fof(f607,plain,
( a = b
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f80,f76]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( product(g1,X0,X2,b)
| ~ product(g1,X1,a,X2)
| ~ product(g1,X0,X1,d1) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f355,f110]) ).
fof(f355,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X1,a,X2)
| ~ product(g1,X0,X1,d1)
| product(g1,X0,X2,d3) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f295,f76]) ).
fof(f564,plain,
( ~ product(g2,an_isomorphism(d1),f,g)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f563,f39]) ).
fof(f563,plain,
( ~ product(g2,an_isomorphism(d1),f,an_isomorphism(b))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f92,f110]) ).
fof(f562,plain,
( ! [X2,X0,X1] :
( product(g1,X2,a,X1)
| ~ product(g1,X0,b,X1)
| ~ product(g1,X0,d1,X2) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f561,f76]) ).
fof(f560,plain,
( product(g1,d1,a,b)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f89,f110]) ).
fof(f536,plain,
( product(g1,d1,a,b)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f533,f76]) ).
fof(f540,plain,
( ~ product(g2,an_isomorphism(d1),f,g)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f539,f38]) ).
fof(f539,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),g)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f538,f76]) ).
fof(f92,plain,
( ~ product(g2,an_isomorphism(d1),f,an_isomorphism(d3))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f88,f38]) ).
fof(f88,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_4 ),
inference(superposition,[],[f45,f76]) ).
fof(f89,plain,
( product(g1,d1,a,d3)
| ~ spl0_4 ),
inference(superposition,[],[f44,f76]) ).
fof(f211,plain,
( ! [X0] :
( ~ product(g1,d1,a,X0)
| d3 = X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f172,f76]) ).
fof(f76,plain,
( a = d2
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f587,plain,
( a = b
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f575,f160]) ).
fof(f575,plain,
( product(g1,a,a,b)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f574,f76]) ).
fof(f619,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f566,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f607,f221,f535]) ).
fof(f617,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f250,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f607,f221,f535]) ).
fof(f615,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f607,f221,f535]) ).
fof(f613,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f535,f607,f221]) ).
fof(f611,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f257,f259,f261,f167,f263,f457,f500,f169,f522,f105,f110,f170,f549,f540,f536,f560,f562,f564,f565,f171,f585,f535,f221,f607]) ).
fof(f609,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f211,f89,f92,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f170,f549,f171,f585,f472,f157,f607]) ).
fof(f606,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587,f472,f157]) ).
fof(f590,plain,
( ! [X0] :
( b = X0
| ~ product(g1,a,a,X0) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f575,f9]) ).
fof(f589,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,b) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f575,f10]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,b,X1)
| ~ product(g1,X0,a,X2)
| product(g1,X2,a,X1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f575,f11]) ).
fof(f586,plain,
( product(g1,a,a,b)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f560,f57]) ).
fof(f581,plain,
( product(g1,a,a,b)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f536,f57]) ).
fof(f573,plain,
( ~ product(g2,f,f,g)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f572,f38]) ).
fof(f572,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(a),g)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f571,f76]) ).
fof(f249,plain,
( product(g1,a,a,d3)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f245,f76]) ).
fof(f245,plain,
( product(g1,a,d2,d3)
| ~ spl0_1 ),
inference(superposition,[],[f44,f57]) ).
fof(f248,plain,
( ~ product(g2,f,f,an_isomorphism(d3))
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f247,f38]) ).
fof(f247,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f244,f76]) ).
fof(f244,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_1 ),
inference(superposition,[],[f45,f57]) ).
fof(f604,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587,f472]) ).
fof(f602,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f221,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587]) ).
fof(f600,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f535,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587]) ).
fof(f598,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f250,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587]) ).
fof(f596,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f566,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587]) ).
fof(f594,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f154,f9,f159,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f157,f211,f89,f92,f248,f249,f7,f251,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f11,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f166,f145,f142,f469,f476,f477,f478,f470,f482,f483,f484,f257,f259,f261,f167,f263,f457,f500,f467,f509,f510,f511,f468,f512,f513,f514,f169,f522,f110,f170,f549,f540,f536,f560,f562,f564,f565,f57,f573,f581,f171,f585,f586,f575,f588,f589,f590,f587]) ).
fof(f592,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f587,f101]) ).
fof(f101,plain,
( a != b
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f79,f76]) ).
fof(f559,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f554,f357]) ).
fof(f554,plain,
( b = c
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f537,f169]) ).
fof(f537,plain,
( product(g1,c,a,b)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f536,f65]) ).
fof(f520,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f519,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f516,f102]) ).
fof(f102,plain,
( a != c
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f83,f76]) ).
fof(f516,plain,
( a = c
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f169,f373]) ).
fof(f373,plain,
( product(g1,c,a,a)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f372,f76]) ).
fof(f372,plain,
( product(g1,c,d2,a)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f360,f106]) ).
fof(f360,plain,
( product(g1,c,d2,d3)
| ~ spl0_3 ),
inference(superposition,[],[f44,f65]) ).
fof(f466,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f459,f357]) ).
fof(f464,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f458,f101]) ).
fof(f446,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f441,f102]) ).
fof(f399,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f113,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f106,f350,f346,f136,f397]) ).
fof(f346,plain,
( product(g1,d1,a,a)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f342,f76]) ).
fof(f342,plain,
( product(g1,d1,d2,a)
| ~ spl0_7 ),
inference(superposition,[],[f44,f106]) ).
fof(f350,plain,
( ~ product(g2,an_isomorphism(d1),f,f)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f349,f38]) ).
fof(f349,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),f)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f348,f76]) ).
fof(f348,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),f)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f343,f38]) ).
fof(f343,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_7 ),
inference(superposition,[],[f45,f106]) ).
fof(f324,plain,
( a = c
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f84,f76]) ).
fof(f396,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f113,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f106,f350,f346,f136]) ).
fof(f394,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f392,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f392,plain,
( product(g1,c,a,a)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f391,f65]) ).
fof(f391,plain,
( product(g1,d1,a,a)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f89,f106]) ).
fof(f390,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f388,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f388,plain,
( ! [X2,X0,X1] :
( product(g1,X0,X2,a)
| ~ product(g1,X0,X1,c)
| ~ product(g1,X1,a,X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f387,f106]) ).
fof(f387,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,c)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,d3) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f355,f65]) ).
fof(f386,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f357,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f384,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f382,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f380,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f380,plain,
( ~ product(g2,h,f,f)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f379,f40]) ).
fof(f379,plain,
( ~ product(g2,an_isomorphism(c),f,f)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f378,f38]) ).
fof(f378,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(a),f)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f377,f76]) ).
fof(f377,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),f)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f376,f38]) ).
fof(f376,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f359,f106]) ).
fof(f359,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_3 ),
inference(superposition,[],[f45,f65]) ).
fof(f375,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f373,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f56,f65,f358]) ).
fof(f369,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f367,f33]) ).
fof(f367,plain,
( ~ product(g2,h,f,h)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f366,f38]) ).
fof(f366,plain,
( ~ product(g2,h,an_isomorphism(a),h)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f365,f76]) ).
fof(f365,plain,
( ~ product(g2,h,an_isomorphism(d2),h)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f364,f40]) ).
fof(f364,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(c))
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f359,f114]) ).
fof(f363,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f7,f251,f257,f259,f261,f263,f114,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f106,f340,f345,f56,f65,f358]) ).
fof(f354,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f352,f29]) ).
fof(f352,plain,
( ~ product(g2,f,f,f)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f351,f38]) ).
fof(f351,plain,
( ~ product(g2,an_isomorphism(a),f,f)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f350,f57]) ).
fof(f338,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f106,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f264,f324]) ).
fof(f336,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f141,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f264,f324]) ).
fof(f334,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f150,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f264,f324]) ).
fof(f332,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f145,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f264,f324]) ).
fof(f330,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f264,f324]) ).
fof(f328,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f211,f89,f92,f64,f57,f248,f249,f7,f251,f257,f259,f261,f263,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f324,f264]) ).
fof(f326,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f149,f142,f154,f9,f159,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f211,f89,f92,f7,f251,f257,f259,f261,f263,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f158,f324]) ).
fof(f323,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f149,f142,f154,f9,f159,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f155,f192,f152,f193,f153,f194,f160,f161,f162,f163,f211,f89,f92,f57,f248,f249,f7,f251,f257,f259,f261,f263,f114,f276,f280,f281,f10,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f312,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f271,f314,f315,f313,f158]) ).
fof(f313,plain,
( a = c
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f271,f160]) ).
fof(f315,plain,
( ! [X0] :
( c = X0
| ~ product(g1,a,a,X0) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f271,f9]) ).
fof(f314,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,a,X2)
| product(g1,X0,X2,c) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f271,f10]) ).
fof(f271,plain,
( product(g1,a,a,c)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f270,f57]) ).
fof(f270,plain,
( product(g1,d1,a,c)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f266,f76]) ).
fof(f266,plain,
( product(g1,d1,d2,c)
| ~ spl0_9 ),
inference(superposition,[],[f44,f114]) ).
fof(f312,plain,
( ! [X2,X0,X1] :
( product(g1,X0,X2,c)
| ~ product(g1,X1,a,X2)
| ~ product(g1,X0,X1,a) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f311,f114]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X1,a,X2)
| ~ product(g1,X0,X1,a)
| product(g1,X0,X2,d3) )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f310,f76]) ).
fof(f310,plain,
( ! [X2,X0,X1] :
( ~ product(g1,X0,X1,a)
| ~ product(g1,X1,d2,X2)
| product(g1,X0,X2,d3) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f295,f57]) ).
fof(f281,plain,
( product(g1,a,a,c)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f249,f114]) ).
fof(f280,plain,
( product(g1,a,a,c)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f279,f57]) ).
fof(f279,plain,
( product(g1,d1,a,c)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f89,f114]) ).
fof(f276,plain,
( ~ product(g2,f,f,h)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f275,f38]) ).
fof(f275,plain,
( ~ product(g2,an_isomorphism(a),f,h)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f274,f57]) ).
fof(f274,plain,
( ~ product(g2,an_isomorphism(d1),f,h)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f273,f38]) ).
fof(f273,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),h)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f272,f76]) ).
fof(f272,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),h)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f267,f40]) ).
fof(f267,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(c))
| ~ spl0_9 ),
inference(superposition,[],[f45,f114]) ).
fof(f321,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_9 ),
inference(global_subsumption,[],[f264,f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f105,f211,f89,f92,f57,f248,f249,f7,f251,f257,f259,f261,f263,f114,f276,f280,f281,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f312,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f271,f314,f315,f313,f268]) ).
fof(f319,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_9 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f50,f76,f19,f99,f100,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f105,f211,f89,f92,f57,f248,f249,f7,f251,f257,f259,f261,f263,f114,f276,f280,f281,f10,f286,f287,f288,f289,f290,f291,f292,f293,f294,f312,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f271,f314,f315,f313,f268]) ).
fof(f317,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f313,f102]) ).
fof(f243,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f7,f11,f10,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f61,f69,f71,f50,f76,f91,f87,f19,f99,f100,f94,f95,f51,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f203,f212,f213,f164,f109]) ).
fof(f164,plain,
( ! [X0] :
( d3 = X0
| ~ product(g1,b,a,X0) )
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f9,f95]) ).
fof(f213,plain,
( ! [X0] :
( ~ product(g1,b,a,X0)
| d3 = X0 )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f168,f76]) ).
fof(f168,plain,
( ! [X0] :
( d3 = X0
| ~ product(g1,b,d2,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f9,f69]) ).
fof(f212,plain,
( ! [X0] :
( ~ product(g1,b,a,X0)
| d3 = X0 )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f211,f61]) ).
fof(f203,plain,
( b = d3
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f163,f95]) ).
fof(f95,plain,
( product(g1,b,a,d3)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f89,f61]) ).
fof(f94,plain,
( ~ product(g2,g,f,an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f93,f39]) ).
fof(f93,plain,
( ~ product(g2,an_isomorphism(b),f,an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f92,f61]) ).
fof(f87,plain,
( product(g1,b,a,d3)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f69,f76]) ).
fof(f91,plain,
( ~ product(g2,g,f,an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f86,f38]) ).
fof(f86,plain,
( ~ product(g2,g,an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f71,f76]) ).
fof(f241,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f114,f7,f11,f10,f12,f13,f14,f15,f16,f17,f41,f42,f43,f38,f39,f40,f1,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f44,f2,f3,f45,f4,f5,f6,f18,f53,f49,f61,f69,f71,f50,f76,f91,f87,f19,f99,f100,f94,f95,f51,f109,f8,f137,f138,f52,f9,f166,f167,f169,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f160,f161,f162,f163,f203,f212,f213,f164]) ).
fof(f239,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f237,f31]) ).
fof(f237,plain,
( ~ product(g2,g,f,g)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f219,f39]) ).
fof(f219,plain,
( ~ product(g2,g,f,an_isomorphism(b))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f94,f110]) ).
fof(f236,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f234,f31]) ).
fof(f234,plain,
( ~ product(g2,g,f,g)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f233,f38]) ).
fof(f233,plain,
( ~ product(g2,g,an_isomorphism(a),g)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f232,f76]) ).
fof(f232,plain,
( ~ product(g2,g,an_isomorphism(d2),g)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f218,f39]) ).
fof(f218,plain,
( ~ product(g2,g,an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f71,f110]) ).
fof(f230,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f228,f31]) ).
fof(f228,plain,
( ~ product(g2,g,f,g)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f227,f39]) ).
fof(f227,plain,
( ~ product(g2,an_isomorphism(b),f,g)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f226,f61]) ).
fof(f226,plain,
( ~ product(g2,an_isomorphism(d1),f,g)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f225,f38]) ).
fof(f225,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),g)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f224,f76]) ).
fof(f224,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),g)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f216,f39]) ).
fof(f216,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_8 ),
inference(superposition,[],[f45,f110]) ).
fof(f210,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f204,f67]) ).
fof(f204,plain,
( a = b
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f163,f124]) ).
fof(f124,plain,
( product(g1,b,a,a)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f123,f61]) ).
fof(f123,plain,
( product(g1,d1,a,a)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f117,f76]) ).
fof(f117,plain,
( product(g1,d1,d2,a)
| ~ spl0_7 ),
inference(superposition,[],[f44,f106]) ).
fof(f208,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f206,f67]) ).
fof(f206,plain,
( a = b
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f203,f106]) ).
fof(f151,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f148,f144,f140]) ).
fof(f115,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f51,f112,f108,f104]) ).
fof(f85,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f82,f78,f74]) ).
fof(f66,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f49,f63,f59,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:44:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (23815)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (23819)WARNING: value z3 for option sas not known
% 0.22/0.38 % (23820)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (23817)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (23818)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (23821)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)
% 0.22/0.39 % (23822)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)
% 0.22/0.39 % (23819)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)
% 0.22/0.39 % (23823)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [5]
% 0.22/0.47 % (23819)First to succeed.
% 0.22/0.49 % (23819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23815"
% 0.22/0.49 % (23819)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (23819)------------------------------
% 0.22/0.50 % (23819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50 % (23819)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (23819)Memory used [KB]: 1992
% 0.22/0.50 % (23819)Time elapsed: 0.105 s
% 0.22/0.50 % (23819)Instructions burned: 196 (million)
% 0.22/0.50 % (23815)Success in time 0.129 s
%------------------------------------------------------------------------------