TSTP Solution File: ALG189+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG189+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 04:27:11 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 286
% Syntax : Number of formulae : 990 ( 71 unt; 0 def)
% Number of atoms : 4390 (2652 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 6029 (2629 ~;2011 |;1181 &)
% ( 208 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 285 ( 283 usr; 284 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1964,plain,
$false,
inference(avatar_sat_refutation,[],[f572,f577,f582,f587,f592,f597,f602,f607,f612,f617,f622,f627,f632,f637,f642,f647,f652,f657,f662,f667,f672,f677,f682,f687,f692,f697,f702,f707,f712,f717,f722,f727,f732,f737,f742,f751,f761,f771,f777,f786,f796,f802,f811,f821,f831,f841,f847,f856,f866,f872,f881,f891,f901,f911,f921,f927,f936,f946,f956,f966,f976,f986,f992,f1001,f1011,f1021,f1031,f1037,f1046,f1056,f1062,f1071,f1081,f1091,f1101,f1111,f1117,f1126,f1132,f1141,f1147,f1156,f1162,f1167,f1172,f1181,f1191,f1197,f1206,f1212,f1221,f1231,f1241,f1247,f1252,f1261,f1267,f1276,f1286,f1292,f1297,f1306,f1316,f1326,f1332,f1337,f1342,f1347,f1352,f1357,f1558,f1629,f1631,f1634,f1637,f1640,f1643,f1646,f1648,f1651,f1654,f1657,f1660,f1663,f1665,f1668,f1671,f1674,f1677,f1680,f1682,f1685,f1688,f1691,f1694,f1697,f1699,f1701,f1703,f1705,f1707,f1709,f1711,f1713,f1715,f1717,f1719,f1721,f1723,f1725,f1727,f1729,f1731,f1733,f1735,f1737,f1739,f1741,f1743,f1745,f1747,f1752,f1758,f1763,f1766,f1771,f1774,f1777,f1780,f1785,f1790,f1796,f1802,f1806,f1809,f1812,f1815,f1818,f1824,f1828,f1832,f1837,f1840,f1843,f1847,f1852,f1856,f1862,f1865,f1868,f1871,f1874,f1879,f1883,f1888,f1891,f1894,f1897,f1900,f1903,f1909,f1912,f1916,f1920,f1925,f1928,f1933,f1937,f1943,f1949,f1954,f1957,f1963]) ).
fof(f1963,plain,
( ~ spl75_36
| ~ spl75_35 ),
inference(avatar_split_clause,[],[f1962,f739,f744]) ).
fof(f744,plain,
( spl75_36
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_36])]) ).
fof(f739,plain,
( spl75_35
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_35])]) ).
fof(f1962,plain,
( ~ sP74
| ~ spl75_35 ),
inference(trivial_inequality_removal,[],[f1961]) ).
fof(f1961,plain,
( e4 != e4
| ~ sP74
| ~ spl75_35 ),
inference(forward_demodulation,[],[f161,f741]) ).
fof(f741,plain,
( e4 = op(e4,e4)
| ~ spl75_35 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f161,plain,
( e4 != op(e4,e4)
| ~ sP74 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP74 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f1957,plain,
( ~ spl75_151
| ~ spl75_17 ),
inference(avatar_split_clause,[],[f1956,f649,f1319]) ).
fof(f1319,plain,
( spl75_151
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_151])]) ).
fof(f649,plain,
( spl75_17
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_17])]) ).
fof(f1956,plain,
( ~ sP6
| ~ spl75_17 ),
inference(trivial_inequality_removal,[],[f1955]) ).
fof(f1955,plain,
( e1 != e1
| ~ sP6
| ~ spl75_17 ),
inference(forward_demodulation,[],[f498,f651]) ).
fof(f651,plain,
( e1 = op(e1,e1)
| ~ spl75_17 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f498,plain,
( e1 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1954,plain,
( ~ spl75_149
| ~ spl75_18 ),
inference(avatar_split_clause,[],[f1953,f654,f1309]) ).
fof(f1309,plain,
( spl75_149
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_149])]) ).
fof(f654,plain,
( spl75_18
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_18])]) ).
fof(f1953,plain,
( ~ sP7
| ~ spl75_18 ),
inference(trivial_inequality_removal,[],[f1952]) ).
fof(f1952,plain,
( e3 != e3
| ~ sP7
| ~ spl75_18 ),
inference(forward_demodulation,[],[f495,f656]) ).
fof(f656,plain,
( e3 = op(e1,e2)
| ~ spl75_18 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f495,plain,
( e3 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1949,plain,
( ~ spl75_147
| ~ spl75_19 ),
inference(avatar_split_clause,[],[f1948,f659,f1299]) ).
fof(f1299,plain,
( spl75_147
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_147])]) ).
fof(f659,plain,
( spl75_19
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_19])]) ).
fof(f1948,plain,
( ~ sP8
| ~ spl75_19 ),
inference(trivial_inequality_removal,[],[f1947]) ).
fof(f1947,plain,
( e4 != e4
| ~ sP8
| ~ spl75_19 ),
inference(forward_demodulation,[],[f491,f661]) ).
fof(f661,plain,
( e4 = op(e1,e3)
| ~ spl75_19 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f491,plain,
( e4 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1943,plain,
( ~ spl75_143
| ~ spl75_22 ),
inference(avatar_split_clause,[],[f1942,f674,f1279]) ).
fof(f1279,plain,
( spl75_143
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_143])]) ).
fof(f674,plain,
( spl75_22
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_22])]) ).
fof(f1942,plain,
( ~ sP11
| ~ spl75_22 ),
inference(trivial_inequality_removal,[],[f1941]) ).
fof(f1941,plain,
( e4 != e4
| ~ sP11
| ~ spl75_22 ),
inference(forward_demodulation,[],[f476,f676]) ).
fof(f676,plain,
( e4 = op(e2,e1)
| ~ spl75_22 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f476,plain,
( e4 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1937,plain,
( ~ spl75_141
| ~ spl75_23 ),
inference(avatar_split_clause,[],[f1936,f679,f1269]) ).
fof(f1269,plain,
( spl75_141
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_141])]) ).
fof(f679,plain,
( spl75_23
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_23])]) ).
fof(f1936,plain,
( ~ sP12
| ~ spl75_23 ),
inference(trivial_inequality_removal,[],[f1935]) ).
fof(f1935,plain,
( e2 != e2
| ~ sP12
| ~ spl75_23 ),
inference(forward_demodulation,[],[f469,f681]) ).
fof(f681,plain,
( e2 = op(e2,e2)
| ~ spl75_23 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f469,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1933,plain,
( ~ spl75_138
| ~ spl75_25 ),
inference(avatar_split_clause,[],[f1932,f689,f1254]) ).
fof(f1254,plain,
( spl75_138
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_138])]) ).
fof(f689,plain,
( spl75_25
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_25])]) ).
fof(f1932,plain,
( ~ sP14
| ~ spl75_25 ),
inference(trivial_inequality_removal,[],[f1931]) ).
fof(f1931,plain,
( e3 != e3
| ~ sP14
| ~ spl75_25 ),
inference(forward_demodulation,[],[f460,f691]) ).
fof(f691,plain,
( e3 = op(e2,e4)
| ~ spl75_25 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f460,plain,
( e3 != op(e2,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1928,plain,
( ~ spl75_134
| ~ spl75_28 ),
inference(avatar_split_clause,[],[f1927,f704,f1234]) ).
fof(f1234,plain,
( spl75_134
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_134])]) ).
fof(f704,plain,
( spl75_28
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_28])]) ).
fof(f1927,plain,
( ~ sP17
| ~ spl75_28 ),
inference(trivial_inequality_removal,[],[f1926]) ).
fof(f1926,plain,
( e1 != e1
| ~ sP17
| ~ spl75_28 ),
inference(forward_demodulation,[],[f443,f706]) ).
fof(f706,plain,
( e1 = op(e3,e2)
| ~ spl75_28 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f443,plain,
( e1 != op(e3,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1925,plain,
( ~ spl75_132
| ~ spl75_29 ),
inference(avatar_split_clause,[],[f1924,f709,f1224]) ).
fof(f1224,plain,
( spl75_132
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_132])]) ).
fof(f709,plain,
( spl75_29
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_29])]) ).
fof(f1924,plain,
( ~ sP18
| ~ spl75_29 ),
inference(trivial_inequality_removal,[],[f1923]) ).
fof(f1923,plain,
( e3 != e3
| ~ sP18
| ~ spl75_29 ),
inference(forward_demodulation,[],[f440,f711]) ).
fof(f711,plain,
( e3 = op(e3,e3)
| ~ spl75_29 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f440,plain,
( e3 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1920,plain,
( ~ spl75_130
| ~ spl75_30 ),
inference(avatar_split_clause,[],[f1919,f714,f1214]) ).
fof(f1214,plain,
( spl75_130
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_130])]) ).
fof(f714,plain,
( spl75_30
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_30])]) ).
fof(f1919,plain,
( ~ sP19
| ~ spl75_30 ),
inference(trivial_inequality_removal,[],[f1918]) ).
fof(f1918,plain,
( e2 != e2
| ~ sP19
| ~ spl75_30 ),
inference(forward_demodulation,[],[f434,f716]) ).
fof(f716,plain,
( e2 = op(e3,e4)
| ~ spl75_30 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f434,plain,
( e2 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1916,plain,
( ~ spl75_127
| ~ spl75_32 ),
inference(avatar_split_clause,[],[f1915,f724,f1199]) ).
fof(f1199,plain,
( spl75_127
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_127])]) ).
fof(f724,plain,
( spl75_32
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_32])]) ).
fof(f1915,plain,
( ~ sP21
| ~ spl75_32 ),
inference(trivial_inequality_removal,[],[f1914]) ).
fof(f1914,plain,
( e2 != e2
| ~ sP21
| ~ spl75_32 ),
inference(forward_demodulation,[],[f424,f726]) ).
fof(f726,plain,
( e2 = op(e4,e1)
| ~ spl75_32 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f424,plain,
( e2 != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1912,plain,
( ~ spl75_124
| ~ spl75_34 ),
inference(avatar_split_clause,[],[f1911,f734,f1184]) ).
fof(f1184,plain,
( spl75_124
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_124])]) ).
fof(f734,plain,
( spl75_34
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_34])]) ).
fof(f1911,plain,
( ~ sP23
| ~ spl75_34 ),
inference(trivial_inequality_removal,[],[f1910]) ).
fof(f1910,plain,
( e1 != e1
| ~ sP23
| ~ spl75_34 ),
inference(forward_demodulation,[],[f413,f736]) ).
fof(f736,plain,
( e1 = op(e4,e3)
| ~ spl75_34 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f413,plain,
( e1 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1909,plain,
( ~ spl75_122
| ~ spl75_35 ),
inference(avatar_split_clause,[],[f1908,f739,f1174]) ).
fof(f1174,plain,
( spl75_122
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_122])]) ).
fof(f1908,plain,
( ~ sP24
| ~ spl75_35 ),
inference(trivial_inequality_removal,[],[f1907]) ).
fof(f1907,plain,
( e4 != e4
| ~ sP24
| ~ spl75_35 ),
inference(forward_demodulation,[],[f411,f741]) ).
fof(f411,plain,
( e4 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1903,plain,
( ~ spl75_119
| ~ spl75_15 ),
inference(avatar_split_clause,[],[f1902,f639,f1159]) ).
fof(f1159,plain,
( spl75_119
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_119])]) ).
fof(f639,plain,
( spl75_15
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_15])]) ).
fof(f1902,plain,
( ~ sP27
| ~ spl75_15 ),
inference(trivial_inequality_removal,[],[f1901]) ).
fof(f1901,plain,
( e1 != e1
| ~ sP27
| ~ spl75_15 ),
inference(forward_demodulation,[],[f396,f641]) ).
fof(f641,plain,
( e1 = op(e0,e4)
| ~ spl75_15 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f396,plain,
( e1 != op(e0,e4)
| ~ sP27 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1900,plain,
( ~ spl75_117
| ~ spl75_21 ),
inference(avatar_split_clause,[],[f1899,f669,f1149]) ).
fof(f1149,plain,
( spl75_117
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_117])]) ).
fof(f669,plain,
( spl75_21
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_21])]) ).
fof(f1899,plain,
( ~ sP28
| ~ spl75_21 ),
inference(trivial_inequality_removal,[],[f1898]) ).
fof(f1898,plain,
( e1 != e1
| ~ sP28
| ~ spl75_21 ),
inference(forward_demodulation,[],[f389,f671]) ).
fof(f671,plain,
( e1 = op(e2,e0)
| ~ spl75_21 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f389,plain,
( e1 != op(e2,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1897,plain,
( ~ spl75_116
| ~ spl75_14 ),
inference(avatar_split_clause,[],[f1896,f634,f1144]) ).
fof(f1144,plain,
( spl75_116
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_116])]) ).
fof(f634,plain,
( spl75_14
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_14])]) ).
fof(f1896,plain,
( ~ sP29
| ~ spl75_14 ),
inference(trivial_inequality_removal,[],[f1895]) ).
fof(f1895,plain,
( e2 != e2
| ~ sP29
| ~ spl75_14 ),
inference(forward_demodulation,[],[f385,f636]) ).
fof(f636,plain,
( e2 = op(e0,e3)
| ~ spl75_14 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f385,plain,
( e2 != op(e0,e3)
| ~ sP29 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1894,plain,
( ~ spl75_114
| ~ spl75_16 ),
inference(avatar_split_clause,[],[f1893,f644,f1134]) ).
fof(f1134,plain,
( spl75_114
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_114])]) ).
fof(f644,plain,
( spl75_16
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_16])]) ).
fof(f1893,plain,
( ~ sP30
| ~ spl75_16 ),
inference(trivial_inequality_removal,[],[f1892]) ).
fof(f1892,plain,
( e2 != e2
| ~ sP30
| ~ spl75_16 ),
inference(forward_demodulation,[],[f378,f646]) ).
fof(f646,plain,
( e2 = op(e1,e0)
| ~ spl75_16 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f378,plain,
( e2 != op(e1,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f1891,plain,
( ~ spl75_113
| ~ spl75_12 ),
inference(avatar_split_clause,[],[f1890,f624,f1129]) ).
fof(f1129,plain,
( spl75_113
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_113])]) ).
fof(f624,plain,
( spl75_12
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_12])]) ).
fof(f1890,plain,
( ~ sP31
| ~ spl75_12 ),
inference(trivial_inequality_removal,[],[f1889]) ).
fof(f1889,plain,
( e3 != e3
| ~ sP31
| ~ spl75_12 ),
inference(forward_demodulation,[],[f373,f626]) ).
fof(f626,plain,
( e3 = op(e0,e1)
| ~ spl75_12 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f373,plain,
( e3 != op(e0,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1888,plain,
( ~ spl75_111
| ~ spl75_31 ),
inference(avatar_split_clause,[],[f1887,f719,f1119]) ).
fof(f1119,plain,
( spl75_111
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_111])]) ).
fof(f719,plain,
( spl75_31
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_31])]) ).
fof(f1887,plain,
( ~ sP32
| ~ spl75_31 ),
inference(trivial_inequality_removal,[],[f1886]) ).
fof(f1886,plain,
( e3 != e3
| ~ sP32
| ~ spl75_31 ),
inference(forward_demodulation,[],[f371,f721]) ).
fof(f721,plain,
( e3 = op(e4,e0)
| ~ spl75_31 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f371,plain,
( e3 != op(e4,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1883,plain,
( ~ spl75_110
| ~ spl75_13 ),
inference(avatar_split_clause,[],[f1882,f629,f1114]) ).
fof(f1114,plain,
( spl75_110
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_110])]) ).
fof(f629,plain,
( spl75_13
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_13])]) ).
fof(f1882,plain,
( ~ sP33
| ~ spl75_13 ),
inference(trivial_inequality_removal,[],[f1881]) ).
fof(f1881,plain,
( e4 != e4
| ~ sP33
| ~ spl75_13 ),
inference(forward_demodulation,[],[f364,f631]) ).
fof(f631,plain,
( e4 = op(e0,e2)
| ~ spl75_13 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f364,plain,
( e4 != op(e0,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1879,plain,
( ~ spl75_108
| ~ spl75_26 ),
inference(avatar_split_clause,[],[f1878,f694,f1104]) ).
fof(f1104,plain,
( spl75_108
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_108])]) ).
fof(f694,plain,
( spl75_26
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_26])]) ).
fof(f1878,plain,
( ~ sP34
| ~ spl75_26 ),
inference(trivial_inequality_removal,[],[f1877]) ).
fof(f1877,plain,
( e4 != e4
| ~ sP34
| ~ spl75_26 ),
inference(forward_demodulation,[],[f360,f696]) ).
fof(f696,plain,
( e4 = op(e3,e0)
| ~ spl75_26 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f360,plain,
( e4 != op(e3,e0)
| ~ sP34 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1874,plain,
( ~ spl75_106
| ~ spl75_20 ),
inference(avatar_split_clause,[],[f1873,f664,f1094]) ).
fof(f1094,plain,
( spl75_106
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_106])]) ).
fof(f664,plain,
( spl75_20
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_20])]) ).
fof(f1873,plain,
( ~ sP35
| ~ spl75_20 ),
inference(trivial_inequality_removal,[],[f1872]) ).
fof(f1872,plain,
( e0 != e0
| ~ sP35
| ~ spl75_20 ),
inference(forward_demodulation,[],[f356,f666]) ).
fof(f666,plain,
( e0 = op(e1,e4)
| ~ spl75_20 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f356,plain,
( e0 != op(e1,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1871,plain,
( ~ spl75_104
| ~ spl75_27 ),
inference(avatar_split_clause,[],[f1870,f699,f1084]) ).
fof(f1084,plain,
( spl75_104
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_104])]) ).
fof(f699,plain,
( spl75_27
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_27])]) ).
fof(f1870,plain,
( ~ sP36
| ~ spl75_27 ),
inference(trivial_inequality_removal,[],[f1869]) ).
fof(f1869,plain,
( e0 != e0
| ~ sP36
| ~ spl75_27 ),
inference(forward_demodulation,[],[f350,f701]) ).
fof(f701,plain,
( e0 = op(e3,e1)
| ~ spl75_27 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f350,plain,
( e0 != op(e3,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1868,plain,
( ~ spl75_102
| ~ spl75_17 ),
inference(avatar_split_clause,[],[f1867,f649,f1074]) ).
fof(f1074,plain,
( spl75_102
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_102])]) ).
fof(f1867,plain,
( ~ sP37
| ~ spl75_17 ),
inference(trivial_inequality_removal,[],[f1866]) ).
fof(f1866,plain,
( e1 != e1
| ~ sP37
| ~ spl75_17 ),
inference(forward_demodulation,[],[f343,f651]) ).
fof(f343,plain,
( e1 != op(e1,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1865,plain,
( ~ spl75_100
| ~ spl75_17 ),
inference(avatar_split_clause,[],[f1864,f649,f1064]) ).
fof(f1064,plain,
( spl75_100
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_100])]) ).
fof(f1864,plain,
( ~ sP38
| ~ spl75_17 ),
inference(trivial_inequality_removal,[],[f1863]) ).
fof(f1863,plain,
( e1 != e1
| ~ sP38
| ~ spl75_17 ),
inference(forward_demodulation,[],[f338,f651]) ).
fof(f338,plain,
( e1 != op(e1,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1862,plain,
( ~ spl75_97
| ~ spl75_32 ),
inference(avatar_split_clause,[],[f1861,f724,f1049]) ).
fof(f1049,plain,
( spl75_97
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_97])]) ).
fof(f1861,plain,
( ~ sP40
| ~ spl75_32 ),
inference(trivial_inequality_removal,[],[f1860]) ).
fof(f1860,plain,
( e2 != e2
| ~ sP40
| ~ spl75_32 ),
inference(forward_demodulation,[],[f331,f726]) ).
fof(f331,plain,
( e2 != op(e4,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f1856,plain,
( ~ spl75_95
| ~ spl75_18 ),
inference(avatar_split_clause,[],[f1855,f654,f1039]) ).
fof(f1039,plain,
( spl75_95
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_95])]) ).
fof(f1855,plain,
( ~ sP41
| ~ spl75_18 ),
inference(trivial_inequality_removal,[],[f1854]) ).
fof(f1854,plain,
( e3 != e3
| ~ sP41
| ~ spl75_18 ),
inference(forward_demodulation,[],[f324,f656]) ).
fof(f324,plain,
( e3 != op(e1,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f1852,plain,
( ~ spl75_92
| ~ spl75_19 ),
inference(avatar_split_clause,[],[f1851,f659,f1024]) ).
fof(f1024,plain,
( spl75_92
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_92])]) ).
fof(f1851,plain,
( ~ sP43
| ~ spl75_19 ),
inference(trivial_inequality_removal,[],[f1850]) ).
fof(f1850,plain,
( e4 != e4
| ~ sP43
| ~ spl75_19 ),
inference(forward_demodulation,[],[f315,f661]) ).
fof(f315,plain,
( e4 != op(e1,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f1847,plain,
( ~ spl75_90
| ~ spl75_22 ),
inference(avatar_split_clause,[],[f1846,f674,f1014]) ).
fof(f1014,plain,
( spl75_90
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_90])]) ).
fof(f1846,plain,
( ~ sP44
| ~ spl75_22 ),
inference(trivial_inequality_removal,[],[f1845]) ).
fof(f1845,plain,
( e4 != e4
| ~ sP44
| ~ spl75_22 ),
inference(forward_demodulation,[],[f309,f676]) ).
fof(f309,plain,
( e4 != op(e2,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f1843,plain,
( ~ spl75_88
| ~ spl75_24 ),
inference(avatar_split_clause,[],[f1842,f684,f1004]) ).
fof(f1004,plain,
( spl75_88
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_88])]) ).
fof(f684,plain,
( spl75_24
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_24])]) ).
fof(f1842,plain,
( ~ sP45
| ~ spl75_24 ),
inference(trivial_inequality_removal,[],[f1841]) ).
fof(f1841,plain,
( e0 != e0
| ~ sP45
| ~ spl75_24 ),
inference(forward_demodulation,[],[f305,f686]) ).
fof(f686,plain,
( e0 = op(e2,e3)
| ~ spl75_24 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f305,plain,
( e0 != op(e2,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f1840,plain,
( ~ spl75_86
| ~ spl75_33 ),
inference(avatar_split_clause,[],[f1839,f729,f994]) ).
fof(f994,plain,
( spl75_86
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_86])]) ).
fof(f729,plain,
( spl75_33
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_33])]) ).
fof(f1839,plain,
( ~ sP46
| ~ spl75_33 ),
inference(trivial_inequality_removal,[],[f1838]) ).
fof(f1838,plain,
( e0 != e0
| ~ sP46
| ~ spl75_33 ),
inference(forward_demodulation,[],[f301,f731]) ).
fof(f731,plain,
( e0 = op(e4,e2)
| ~ spl75_33 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f301,plain,
( e0 != op(e4,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f1837,plain,
( ~ spl75_83
| ~ spl75_28 ),
inference(avatar_split_clause,[],[f1836,f704,f979]) ).
fof(f979,plain,
( spl75_83
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_83])]) ).
fof(f1836,plain,
( ~ sP48
| ~ spl75_28 ),
inference(trivial_inequality_removal,[],[f1835]) ).
fof(f1835,plain,
( e1 != e1
| ~ sP48
| ~ spl75_28 ),
inference(forward_demodulation,[],[f290,f706]) ).
fof(f290,plain,
( e1 != op(e3,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f1832,plain,
( ~ spl75_81
| ~ spl75_23 ),
inference(avatar_split_clause,[],[f1831,f679,f969]) ).
fof(f969,plain,
( spl75_81
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_81])]) ).
fof(f1831,plain,
( ~ sP49
| ~ spl75_23 ),
inference(trivial_inequality_removal,[],[f1830]) ).
fof(f1830,plain,
( e2 != e2
| ~ sP49
| ~ spl75_23 ),
inference(forward_demodulation,[],[f284,f681]) ).
fof(f284,plain,
( e2 != op(e2,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f1828,plain,
( ~ spl75_79
| ~ spl75_23 ),
inference(avatar_split_clause,[],[f1827,f679,f959]) ).
fof(f959,plain,
( spl75_79
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_79])]) ).
fof(f1827,plain,
( ~ sP50
| ~ spl75_23 ),
inference(trivial_inequality_removal,[],[f1826]) ).
fof(f1826,plain,
( e2 != e2
| ~ sP50
| ~ spl75_23 ),
inference(forward_demodulation,[],[f279,f681]) ).
fof(f279,plain,
( e2 != op(e2,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f1824,plain,
( ~ spl75_77
| ~ spl75_25 ),
inference(avatar_split_clause,[],[f1823,f689,f949]) ).
fof(f949,plain,
( spl75_77
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_77])]) ).
fof(f1823,plain,
( ~ sP51
| ~ spl75_25 ),
inference(trivial_inequality_removal,[],[f1822]) ).
fof(f1822,plain,
( e3 != e3
| ~ sP51
| ~ spl75_25 ),
inference(forward_demodulation,[],[f276,f691]) ).
fof(f276,plain,
( e3 != op(e2,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1818,plain,
( ~ spl75_75
| ~ spl75_18 ),
inference(avatar_split_clause,[],[f1817,f654,f939]) ).
fof(f939,plain,
( spl75_75
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_75])]) ).
fof(f1817,plain,
( ~ sP52
| ~ spl75_18 ),
inference(trivial_inequality_removal,[],[f1816]) ).
fof(f1816,plain,
( e3 != e3
| ~ sP52
| ~ spl75_18 ),
inference(forward_demodulation,[],[f268,f656]) ).
fof(f268,plain,
( e3 != op(e1,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f1815,plain,
( ~ spl75_73
| ~ spl75_22 ),
inference(avatar_split_clause,[],[f1814,f674,f929]) ).
fof(f929,plain,
( spl75_73
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_73])]) ).
fof(f1814,plain,
( ~ sP53
| ~ spl75_22 ),
inference(trivial_inequality_removal,[],[f1813]) ).
fof(f1813,plain,
( e4 != e4
| ~ sP53
| ~ spl75_22 ),
inference(forward_demodulation,[],[f263,f676]) ).
fof(f263,plain,
( e4 != op(e2,e1)
| ~ sP53 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f1812,plain,
( ~ spl75_70
| ~ spl75_27 ),
inference(avatar_split_clause,[],[f1811,f699,f914]) ).
fof(f914,plain,
( spl75_70
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_70])]) ).
fof(f1811,plain,
( ~ sP55
| ~ spl75_27 ),
inference(trivial_inequality_removal,[],[f1810]) ).
fof(f1810,plain,
( e0 != e0
| ~ sP55
| ~ spl75_27 ),
inference(forward_demodulation,[],[f253,f701]) ).
fof(f253,plain,
( e0 != op(e3,e1)
| ~ sP55 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f1809,plain,
( ~ spl75_68
| ~ spl75_24 ),
inference(avatar_split_clause,[],[f1808,f684,f904]) ).
fof(f904,plain,
( spl75_68
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_68])]) ).
fof(f1808,plain,
( ~ sP56
| ~ spl75_24 ),
inference(trivial_inequality_removal,[],[f1807]) ).
fof(f1807,plain,
( e0 != e0
| ~ sP56
| ~ spl75_24 ),
inference(forward_demodulation,[],[f249,f686]) ).
fof(f249,plain,
( e0 != op(e2,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f1806,plain,
( ~ spl75_66
| ~ spl75_28 ),
inference(avatar_split_clause,[],[f1805,f704,f894]) ).
fof(f894,plain,
( spl75_66
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_66])]) ).
fof(f1805,plain,
( ~ sP57
| ~ spl75_28 ),
inference(trivial_inequality_removal,[],[f1804]) ).
fof(f1804,plain,
( e1 != e1
| ~ sP57
| ~ spl75_28 ),
inference(forward_demodulation,[],[f244,f706]) ).
fof(f244,plain,
( e1 != op(e3,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f1802,plain,
( ~ spl75_64
| ~ spl75_34 ),
inference(avatar_split_clause,[],[f1801,f734,f884]) ).
fof(f884,plain,
( spl75_64
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_64])]) ).
fof(f1801,plain,
( ~ sP58
| ~ spl75_34 ),
inference(trivial_inequality_removal,[],[f1800]) ).
fof(f1800,plain,
( e1 != e1
| ~ sP58
| ~ spl75_34 ),
inference(forward_demodulation,[],[f241,f736]) ).
fof(f241,plain,
( e1 != op(e4,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f1796,plain,
( ~ spl75_62
| ~ spl75_30 ),
inference(avatar_split_clause,[],[f1795,f714,f874]) ).
fof(f874,plain,
( spl75_62
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_62])]) ).
fof(f1795,plain,
( ~ sP59
| ~ spl75_30 ),
inference(trivial_inequality_removal,[],[f1794]) ).
fof(f1794,plain,
( e2 != e2
| ~ sP59
| ~ spl75_30 ),
inference(forward_demodulation,[],[f236,f716]) ).
fof(f236,plain,
( e2 != op(e3,e4)
| ~ sP59 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f1790,plain,
( ~ spl75_59
| ~ spl75_29 ),
inference(avatar_split_clause,[],[f1789,f709,f859]) ).
fof(f859,plain,
( spl75_59
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_59])]) ).
fof(f1789,plain,
( ~ sP61
| ~ spl75_29 ),
inference(trivial_inequality_removal,[],[f1788]) ).
fof(f1788,plain,
( e3 != e3
| ~ sP61
| ~ spl75_29 ),
inference(forward_demodulation,[],[f225,f711]) ).
fof(f225,plain,
( e3 != op(e3,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f1785,plain,
( ~ spl75_57
| ~ spl75_29 ),
inference(avatar_split_clause,[],[f1784,f709,f849]) ).
fof(f849,plain,
( spl75_57
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_57])]) ).
fof(f1784,plain,
( ~ sP62
| ~ spl75_29 ),
inference(trivial_inequality_removal,[],[f1783]) ).
fof(f1783,plain,
( e3 != e3
| ~ sP62
| ~ spl75_29 ),
inference(forward_demodulation,[],[f220,f711]) ).
fof(f220,plain,
( e3 != op(e3,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f1780,plain,
( ~ spl75_54
| ~ spl75_19 ),
inference(avatar_split_clause,[],[f1779,f659,f834]) ).
fof(f834,plain,
( spl75_54
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_54])]) ).
fof(f1779,plain,
( ~ sP64
| ~ spl75_19 ),
inference(trivial_inequality_removal,[],[f1778]) ).
fof(f1778,plain,
( e4 != e4
| ~ sP64
| ~ spl75_19 ),
inference(forward_demodulation,[],[f208,f661]) ).
fof(f208,plain,
( e4 != op(e1,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f1777,plain,
( ~ spl75_52
| ~ spl75_33 ),
inference(avatar_split_clause,[],[f1776,f729,f824]) ).
fof(f824,plain,
( spl75_52
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_52])]) ).
fof(f1776,plain,
( ~ sP65
| ~ spl75_33 ),
inference(trivial_inequality_removal,[],[f1775]) ).
fof(f1775,plain,
( e0 != e0
| ~ sP65
| ~ spl75_33 ),
inference(forward_demodulation,[],[f204,f731]) ).
fof(f204,plain,
( e0 != op(e4,e2)
| ~ sP65 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f1774,plain,
( ~ spl75_50
| ~ spl75_20 ),
inference(avatar_split_clause,[],[f1773,f664,f814]) ).
fof(f814,plain,
( spl75_50
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_50])]) ).
fof(f1773,plain,
( ~ sP66
| ~ spl75_20 ),
inference(trivial_inequality_removal,[],[f1772]) ).
fof(f1772,plain,
( e0 != e0
| ~ sP66
| ~ spl75_20 ),
inference(forward_demodulation,[],[f198,f666]) ).
fof(f198,plain,
( e0 != op(e1,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f1771,plain,
( ~ spl75_48
| ~ spl75_34 ),
inference(avatar_split_clause,[],[f1770,f734,f804]) ).
fof(f804,plain,
( spl75_48
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_48])]) ).
fof(f1770,plain,
( ~ sP67
| ~ spl75_34 ),
inference(trivial_inequality_removal,[],[f1769]) ).
fof(f1769,plain,
( e1 != e1
| ~ sP67
| ~ spl75_34 ),
inference(forward_demodulation,[],[f195,f736]) ).
fof(f195,plain,
( e1 != op(e4,e3)
| ~ sP67 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f1766,plain,
( ~ spl75_45
| ~ spl75_32 ),
inference(avatar_split_clause,[],[f1765,f724,f789]) ).
fof(f789,plain,
( spl75_45
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_45])]) ).
fof(f1765,plain,
( ~ sP69
| ~ spl75_32 ),
inference(trivial_inequality_removal,[],[f1764]) ).
fof(f1764,plain,
( e2 != e2
| ~ sP69
| ~ spl75_32 ),
inference(forward_demodulation,[],[f183,f726]) ).
fof(f183,plain,
( e2 != op(e4,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f1763,plain,
( ~ spl75_43
| ~ spl75_30 ),
inference(avatar_split_clause,[],[f1762,f714,f779]) ).
fof(f779,plain,
( spl75_43
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_43])]) ).
fof(f1762,plain,
( ~ sP70
| ~ spl75_30 ),
inference(trivial_inequality_removal,[],[f1761]) ).
fof(f1761,plain,
( e2 != e2
| ~ sP70
| ~ spl75_30 ),
inference(forward_demodulation,[],[f180,f716]) ).
fof(f180,plain,
( e2 != op(e3,e4)
| ~ sP70 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f1758,plain,
( ~ spl75_38
| ~ spl75_35 ),
inference(avatar_split_clause,[],[f1757,f739,f754]) ).
fof(f754,plain,
( spl75_38
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_38])]) ).
fof(f1757,plain,
( ~ sP73
| ~ spl75_35 ),
inference(trivial_inequality_removal,[],[f1756]) ).
fof(f1756,plain,
( e4 != e4
| ~ sP73
| ~ spl75_35 ),
inference(forward_demodulation,[],[f166,f741]) ).
fof(f166,plain,
( e4 != op(e4,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1752,plain,
( ~ spl75_40
| ~ spl75_25 ),
inference(avatar_split_clause,[],[f1750,f689,f764]) ).
fof(f764,plain,
( spl75_40
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_40])]) ).
fof(f1750,plain,
( ~ sP72
| ~ spl75_25 ),
inference(trivial_inequality_removal,[],[f1749]) ).
fof(f1749,plain,
( e3 != e3
| ~ sP72
| ~ spl75_25 ),
inference(forward_demodulation,[],[f169,f691]) ).
fof(f169,plain,
( e3 != op(e2,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f1747,plain,
( ~ spl75_11
| ~ spl75_11
| spl75_159 ),
inference(avatar_split_clause,[],[f1628,f1359,f619,f619]) ).
fof(f619,plain,
( spl75_11
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_11])]) ).
fof(f1359,plain,
( spl75_159
<=> e0 = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_159])]) ).
fof(f1628,plain,
( e0 != op(e0,e0)
| ~ spl75_11
| spl75_159 ),
inference(forward_demodulation,[],[f1361,f621]) ).
fof(f621,plain,
( e0 = op(e0,e0)
| ~ spl75_11 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f1361,plain,
( e0 != op(op(e0,e0),e0)
| spl75_159 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1745,plain,
( ~ spl75_27
| ~ spl75_12
| spl75_160 ),
inference(avatar_split_clause,[],[f1627,f1363,f624,f699]) ).
fof(f1363,plain,
( spl75_160
<=> e0 = op(op(e0,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_160])]) ).
fof(f1627,plain,
( e0 != op(e3,e1)
| ~ spl75_12
| spl75_160 ),
inference(forward_demodulation,[],[f1365,f626]) ).
fof(f1365,plain,
( e0 != op(op(e0,e1),e1)
| spl75_160 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1743,plain,
( ~ spl75_33
| ~ spl75_13
| spl75_161 ),
inference(avatar_split_clause,[],[f1626,f1367,f629,f729]) ).
fof(f1367,plain,
( spl75_161
<=> e0 = op(op(e0,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_161])]) ).
fof(f1626,plain,
( e0 != op(e4,e2)
| ~ spl75_13
| spl75_161 ),
inference(forward_demodulation,[],[f1369,f631]) ).
fof(f1369,plain,
( e0 != op(op(e0,e2),e2)
| spl75_161 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1741,plain,
( ~ spl75_24
| ~ spl75_14
| spl75_162 ),
inference(avatar_split_clause,[],[f1625,f1371,f634,f684]) ).
fof(f1371,plain,
( spl75_162
<=> e0 = op(op(e0,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_162])]) ).
fof(f1625,plain,
( e0 != op(e2,e3)
| ~ spl75_14
| spl75_162 ),
inference(forward_demodulation,[],[f1373,f636]) ).
fof(f1373,plain,
( e0 != op(op(e0,e3),e3)
| spl75_162 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1739,plain,
( ~ spl75_20
| ~ spl75_15
| spl75_163 ),
inference(avatar_split_clause,[],[f1624,f1375,f639,f664]) ).
fof(f1375,plain,
( spl75_163
<=> e0 = op(op(e0,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_163])]) ).
fof(f1624,plain,
( e0 != op(e1,e4)
| ~ spl75_15
| spl75_163 ),
inference(forward_demodulation,[],[f1377,f641]) ).
fof(f1377,plain,
( e0 != op(op(e0,e4),e4)
| spl75_163 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1737,plain,
( ~ spl75_21
| ~ spl75_16
| spl75_164 ),
inference(avatar_split_clause,[],[f1623,f1379,f644,f669]) ).
fof(f1379,plain,
( spl75_164
<=> e1 = op(op(e1,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_164])]) ).
fof(f1623,plain,
( e1 != op(e2,e0)
| ~ spl75_16
| spl75_164 ),
inference(forward_demodulation,[],[f1381,f646]) ).
fof(f1381,plain,
( e1 != op(op(e1,e0),e0)
| spl75_164 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1735,plain,
( ~ spl75_17
| ~ spl75_17
| spl75_165 ),
inference(avatar_split_clause,[],[f1622,f1383,f649,f649]) ).
fof(f1383,plain,
( spl75_165
<=> e1 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_165])]) ).
fof(f1622,plain,
( e1 != op(e1,e1)
| ~ spl75_17
| spl75_165 ),
inference(forward_demodulation,[],[f1385,f651]) ).
fof(f1385,plain,
( e1 != op(op(e1,e1),e1)
| spl75_165 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1733,plain,
( ~ spl75_28
| ~ spl75_18
| spl75_166 ),
inference(avatar_split_clause,[],[f1621,f1387,f654,f704]) ).
fof(f1387,plain,
( spl75_166
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_166])]) ).
fof(f1621,plain,
( e1 != op(e3,e2)
| ~ spl75_18
| spl75_166 ),
inference(forward_demodulation,[],[f1389,f656]) ).
fof(f1389,plain,
( e1 != op(op(e1,e2),e2)
| spl75_166 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1731,plain,
( ~ spl75_34
| ~ spl75_19
| spl75_167 ),
inference(avatar_split_clause,[],[f1620,f1391,f659,f734]) ).
fof(f1391,plain,
( spl75_167
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_167])]) ).
fof(f1620,plain,
( e1 != op(e4,e3)
| ~ spl75_19
| spl75_167 ),
inference(forward_demodulation,[],[f1393,f661]) ).
fof(f1393,plain,
( e1 != op(op(e1,e3),e3)
| spl75_167 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1729,plain,
( ~ spl75_15
| ~ spl75_20
| spl75_168 ),
inference(avatar_split_clause,[],[f1619,f1395,f664,f639]) ).
fof(f1395,plain,
( spl75_168
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_168])]) ).
fof(f1619,plain,
( e1 != op(e0,e4)
| ~ spl75_20
| spl75_168 ),
inference(forward_demodulation,[],[f1397,f666]) ).
fof(f1397,plain,
( e1 != op(op(e1,e4),e4)
| spl75_168 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1727,plain,
( ~ spl75_16
| ~ spl75_21
| spl75_169 ),
inference(avatar_split_clause,[],[f1618,f1399,f669,f644]) ).
fof(f1399,plain,
( spl75_169
<=> e2 = op(op(e2,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_169])]) ).
fof(f1618,plain,
( e2 != op(e1,e0)
| ~ spl75_21
| spl75_169 ),
inference(forward_demodulation,[],[f1401,f671]) ).
fof(f1401,plain,
( e2 != op(op(e2,e0),e0)
| spl75_169 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1725,plain,
( ~ spl75_32
| ~ spl75_22
| spl75_170 ),
inference(avatar_split_clause,[],[f1617,f1403,f674,f724]) ).
fof(f1403,plain,
( spl75_170
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_170])]) ).
fof(f1617,plain,
( e2 != op(e4,e1)
| ~ spl75_22
| spl75_170 ),
inference(forward_demodulation,[],[f1405,f676]) ).
fof(f1405,plain,
( e2 != op(op(e2,e1),e1)
| spl75_170 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1723,plain,
( ~ spl75_23
| ~ spl75_23
| spl75_171 ),
inference(avatar_split_clause,[],[f1616,f1407,f679,f679]) ).
fof(f1407,plain,
( spl75_171
<=> e2 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_171])]) ).
fof(f1616,plain,
( e2 != op(e2,e2)
| ~ spl75_23
| spl75_171 ),
inference(forward_demodulation,[],[f1409,f681]) ).
fof(f1409,plain,
( e2 != op(op(e2,e2),e2)
| spl75_171 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1721,plain,
( ~ spl75_14
| ~ spl75_24
| spl75_172 ),
inference(avatar_split_clause,[],[f1615,f1411,f684,f634]) ).
fof(f1411,plain,
( spl75_172
<=> e2 = op(op(e2,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_172])]) ).
fof(f1615,plain,
( e2 != op(e0,e3)
| ~ spl75_24
| spl75_172 ),
inference(forward_demodulation,[],[f1413,f686]) ).
fof(f1413,plain,
( e2 != op(op(e2,e3),e3)
| spl75_172 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1719,plain,
( ~ spl75_30
| ~ spl75_25
| spl75_173 ),
inference(avatar_split_clause,[],[f1614,f1415,f689,f714]) ).
fof(f1415,plain,
( spl75_173
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_173])]) ).
fof(f1614,plain,
( e2 != op(e3,e4)
| ~ spl75_25
| spl75_173 ),
inference(forward_demodulation,[],[f1417,f691]) ).
fof(f1417,plain,
( e2 != op(op(e2,e4),e4)
| spl75_173 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1717,plain,
( ~ spl75_31
| ~ spl75_26
| spl75_174 ),
inference(avatar_split_clause,[],[f1613,f1419,f694,f719]) ).
fof(f1419,plain,
( spl75_174
<=> e3 = op(op(e3,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_174])]) ).
fof(f1613,plain,
( e3 != op(e4,e0)
| ~ spl75_26
| spl75_174 ),
inference(forward_demodulation,[],[f1421,f696]) ).
fof(f1421,plain,
( e3 != op(op(e3,e0),e0)
| spl75_174 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1715,plain,
( ~ spl75_12
| ~ spl75_27
| spl75_175 ),
inference(avatar_split_clause,[],[f1612,f1423,f699,f624]) ).
fof(f1423,plain,
( spl75_175
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_175])]) ).
fof(f1612,plain,
( e3 != op(e0,e1)
| ~ spl75_27
| spl75_175 ),
inference(forward_demodulation,[],[f1425,f701]) ).
fof(f1425,plain,
( e3 != op(op(e3,e1),e1)
| spl75_175 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1713,plain,
( ~ spl75_18
| ~ spl75_28
| spl75_176 ),
inference(avatar_split_clause,[],[f1611,f1427,f704,f654]) ).
fof(f1427,plain,
( spl75_176
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_176])]) ).
fof(f1611,plain,
( e3 != op(e1,e2)
| ~ spl75_28
| spl75_176 ),
inference(forward_demodulation,[],[f1429,f706]) ).
fof(f1429,plain,
( e3 != op(op(e3,e2),e2)
| spl75_176 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1711,plain,
( ~ spl75_29
| ~ spl75_29
| spl75_177 ),
inference(avatar_split_clause,[],[f1610,f1431,f709,f709]) ).
fof(f1431,plain,
( spl75_177
<=> e3 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_177])]) ).
fof(f1610,plain,
( e3 != op(e3,e3)
| ~ spl75_29
| spl75_177 ),
inference(forward_demodulation,[],[f1433,f711]) ).
fof(f1433,plain,
( e3 != op(op(e3,e3),e3)
| spl75_177 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1709,plain,
( ~ spl75_25
| ~ spl75_30
| spl75_178 ),
inference(avatar_split_clause,[],[f1609,f1435,f714,f689]) ).
fof(f1435,plain,
( spl75_178
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_178])]) ).
fof(f1609,plain,
( e3 != op(e2,e4)
| ~ spl75_30
| spl75_178 ),
inference(forward_demodulation,[],[f1437,f716]) ).
fof(f1437,plain,
( e3 != op(op(e3,e4),e4)
| spl75_178 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1707,plain,
( ~ spl75_26
| ~ spl75_31
| spl75_179 ),
inference(avatar_split_clause,[],[f1608,f1439,f719,f694]) ).
fof(f1439,plain,
( spl75_179
<=> e4 = op(op(e4,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_179])]) ).
fof(f1608,plain,
( e4 != op(e3,e0)
| ~ spl75_31
| spl75_179 ),
inference(forward_demodulation,[],[f1441,f721]) ).
fof(f1441,plain,
( e4 != op(op(e4,e0),e0)
| spl75_179 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1705,plain,
( ~ spl75_22
| ~ spl75_32
| spl75_180 ),
inference(avatar_split_clause,[],[f1607,f1443,f724,f674]) ).
fof(f1443,plain,
( spl75_180
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_180])]) ).
fof(f1607,plain,
( e4 != op(e2,e1)
| ~ spl75_32
| spl75_180 ),
inference(forward_demodulation,[],[f1445,f726]) ).
fof(f1445,plain,
( e4 != op(op(e4,e1),e1)
| spl75_180 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1703,plain,
( ~ spl75_13
| ~ spl75_33
| spl75_181 ),
inference(avatar_split_clause,[],[f1606,f1447,f729,f629]) ).
fof(f1447,plain,
( spl75_181
<=> e4 = op(op(e4,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_181])]) ).
fof(f1606,plain,
( e4 != op(e0,e2)
| ~ spl75_33
| spl75_181 ),
inference(forward_demodulation,[],[f1449,f731]) ).
fof(f1449,plain,
( e4 != op(op(e4,e2),e2)
| spl75_181 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1701,plain,
( ~ spl75_19
| ~ spl75_34
| spl75_182 ),
inference(avatar_split_clause,[],[f1605,f1451,f734,f659]) ).
fof(f1451,plain,
( spl75_182
<=> e4 = op(op(e4,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_182])]) ).
fof(f1605,plain,
( e4 != op(e1,e3)
| ~ spl75_34
| spl75_182 ),
inference(forward_demodulation,[],[f1453,f736]) ).
fof(f1453,plain,
( e4 != op(op(e4,e3),e3)
| spl75_182 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1699,plain,
( ~ spl75_35
| ~ spl75_35
| spl75_183 ),
inference(avatar_split_clause,[],[f1604,f1455,f739,f739]) ).
fof(f1455,plain,
( spl75_183
<=> e4 = op(op(e4,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_183])]) ).
fof(f1604,plain,
( e4 != op(e4,e4)
| ~ spl75_35
| spl75_183 ),
inference(forward_demodulation,[],[f1457,f741]) ).
fof(f1457,plain,
( e4 != op(op(e4,e4),e4)
| spl75_183 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1697,plain,
( ~ spl75_11
| ~ spl75_11
| spl75_184 ),
inference(avatar_split_clause,[],[f1603,f1459,f619,f619]) ).
fof(f1459,plain,
( spl75_184
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_184])]) ).
fof(f1603,plain,
( e0 != op(e0,e0)
| ~ spl75_11
| spl75_184 ),
inference(forward_demodulation,[],[f1461,f621]) ).
fof(f1461,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl75_184 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1694,plain,
( ~ spl75_24
| ~ spl75_12
| ~ spl75_16
| spl75_185 ),
inference(avatar_split_clause,[],[f1602,f1463,f644,f624,f684]) ).
fof(f1463,plain,
( spl75_185
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_185])]) ).
fof(f1602,plain,
( e0 != op(e2,e3)
| ~ spl75_12
| ~ spl75_16
| spl75_185 ),
inference(forward_demodulation,[],[f1601,f646]) ).
fof(f1601,plain,
( e0 != op(op(e1,e0),e3)
| ~ spl75_12
| spl75_185 ),
inference(forward_demodulation,[],[f1465,f626]) ).
fof(f1465,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl75_185 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1691,plain,
( ~ spl75_20
| ~ spl75_13
| ~ spl75_21
| spl75_186 ),
inference(avatar_split_clause,[],[f1600,f1467,f669,f629,f664]) ).
fof(f1467,plain,
( spl75_186
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_186])]) ).
fof(f1600,plain,
( e0 != op(e1,e4)
| ~ spl75_13
| ~ spl75_21
| spl75_186 ),
inference(forward_demodulation,[],[f1599,f671]) ).
fof(f1599,plain,
( e0 != op(op(e2,e0),e4)
| ~ spl75_13
| spl75_186 ),
inference(forward_demodulation,[],[f1469,f631]) ).
fof(f1469,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl75_186 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1688,plain,
( ~ spl75_33
| ~ spl75_14
| ~ spl75_26
| spl75_187 ),
inference(avatar_split_clause,[],[f1598,f1471,f694,f634,f729]) ).
fof(f1471,plain,
( spl75_187
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_187])]) ).
fof(f1598,plain,
( e0 != op(e4,e2)
| ~ spl75_14
| ~ spl75_26
| spl75_187 ),
inference(forward_demodulation,[],[f1597,f696]) ).
fof(f1597,plain,
( e0 != op(op(e3,e0),e2)
| ~ spl75_14
| spl75_187 ),
inference(forward_demodulation,[],[f1473,f636]) ).
fof(f1473,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl75_187 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1685,plain,
( ~ spl75_27
| ~ spl75_15
| ~ spl75_31
| spl75_188 ),
inference(avatar_split_clause,[],[f1596,f1475,f719,f639,f699]) ).
fof(f1475,plain,
( spl75_188
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_188])]) ).
fof(f1596,plain,
( e0 != op(e3,e1)
| ~ spl75_15
| ~ spl75_31
| spl75_188 ),
inference(forward_demodulation,[],[f1595,f721]) ).
fof(f1595,plain,
( e0 != op(op(e4,e0),e1)
| ~ spl75_15
| spl75_188 ),
inference(forward_demodulation,[],[f1477,f641]) ).
fof(f1477,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl75_188 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1682,plain,
( ~ spl75_28
| ~ spl75_12
| ~ spl75_16
| spl75_189 ),
inference(avatar_split_clause,[],[f1594,f1479,f644,f624,f704]) ).
fof(f1479,plain,
( spl75_189
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_189])]) ).
fof(f1594,plain,
( e1 != op(e3,e2)
| ~ spl75_12
| ~ spl75_16
| spl75_189 ),
inference(forward_demodulation,[],[f1593,f626]) ).
fof(f1593,plain,
( e1 != op(op(e0,e1),e2)
| ~ spl75_16
| spl75_189 ),
inference(forward_demodulation,[],[f1481,f646]) ).
fof(f1481,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl75_189 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1680,plain,
( ~ spl75_17
| ~ spl75_17
| spl75_190 ),
inference(avatar_split_clause,[],[f1592,f1483,f649,f649]) ).
fof(f1483,plain,
( spl75_190
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_190])]) ).
fof(f1592,plain,
( e1 != op(e1,e1)
| ~ spl75_17
| spl75_190 ),
inference(forward_demodulation,[],[f1485,f651]) ).
fof(f1485,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl75_190 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1677,plain,
( ~ spl75_34
| ~ spl75_18
| ~ spl75_22
| spl75_191 ),
inference(avatar_split_clause,[],[f1591,f1487,f674,f654,f734]) ).
fof(f1487,plain,
( spl75_191
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_191])]) ).
fof(f1591,plain,
( e1 != op(e4,e3)
| ~ spl75_18
| ~ spl75_22
| spl75_191 ),
inference(forward_demodulation,[],[f1590,f676]) ).
fof(f1590,plain,
( e1 != op(op(e2,e1),e3)
| ~ spl75_18
| spl75_191 ),
inference(forward_demodulation,[],[f1489,f656]) ).
fof(f1489,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl75_191 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1674,plain,
( ~ spl75_15
| ~ spl75_19
| ~ spl75_27
| spl75_192 ),
inference(avatar_split_clause,[],[f1589,f1491,f699,f659,f639]) ).
fof(f1491,plain,
( spl75_192
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_192])]) ).
fof(f1589,plain,
( e1 != op(e0,e4)
| ~ spl75_19
| ~ spl75_27
| spl75_192 ),
inference(forward_demodulation,[],[f1588,f701]) ).
fof(f1588,plain,
( e1 != op(op(e3,e1),e4)
| ~ spl75_19
| spl75_192 ),
inference(forward_demodulation,[],[f1493,f661]) ).
fof(f1493,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl75_192 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1671,plain,
( ~ spl75_21
| ~ spl75_20
| ~ spl75_32
| spl75_193 ),
inference(avatar_split_clause,[],[f1587,f1495,f724,f664,f669]) ).
fof(f1495,plain,
( spl75_193
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_193])]) ).
fof(f1587,plain,
( e1 != op(e2,e0)
| ~ spl75_20
| ~ spl75_32
| spl75_193 ),
inference(forward_demodulation,[],[f1586,f726]) ).
fof(f1586,plain,
( e1 != op(op(e4,e1),e0)
| ~ spl75_20
| spl75_193 ),
inference(forward_demodulation,[],[f1497,f666]) ).
fof(f1497,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl75_193 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1668,plain,
( ~ spl75_32
| ~ spl75_13
| ~ spl75_21
| spl75_194 ),
inference(avatar_split_clause,[],[f1585,f1499,f669,f629,f724]) ).
fof(f1499,plain,
( spl75_194
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_194])]) ).
fof(f1585,plain,
( e2 != op(e4,e1)
| ~ spl75_13
| ~ spl75_21
| spl75_194 ),
inference(forward_demodulation,[],[f1584,f631]) ).
fof(f1584,plain,
( e2 != op(op(e0,e2),e1)
| ~ spl75_21
| spl75_194 ),
inference(forward_demodulation,[],[f1501,f671]) ).
fof(f1501,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl75_194 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1665,plain,
( ~ spl75_30
| ~ spl75_18
| ~ spl75_22
| spl75_195 ),
inference(avatar_split_clause,[],[f1583,f1503,f674,f654,f714]) ).
fof(f1503,plain,
( spl75_195
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_195])]) ).
fof(f1583,plain,
( e2 != op(e3,e4)
| ~ spl75_18
| ~ spl75_22
| spl75_195 ),
inference(forward_demodulation,[],[f1582,f656]) ).
fof(f1582,plain,
( e2 != op(op(e1,e2),e4)
| ~ spl75_22
| spl75_195 ),
inference(forward_demodulation,[],[f1505,f676]) ).
fof(f1505,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl75_195 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1663,plain,
( ~ spl75_23
| ~ spl75_23
| spl75_196 ),
inference(avatar_split_clause,[],[f1581,f1507,f679,f679]) ).
fof(f1507,plain,
( spl75_196
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_196])]) ).
fof(f1581,plain,
( e2 != op(e2,e2)
| ~ spl75_23
| spl75_196 ),
inference(forward_demodulation,[],[f1509,f681]) ).
fof(f1509,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl75_196 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1660,plain,
( ~ spl75_16
| ~ spl75_24
| ~ spl75_28
| spl75_197 ),
inference(avatar_split_clause,[],[f1580,f1511,f704,f684,f644]) ).
fof(f1511,plain,
( spl75_197
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_197])]) ).
fof(f1580,plain,
( e2 != op(e1,e0)
| ~ spl75_24
| ~ spl75_28
| spl75_197 ),
inference(forward_demodulation,[],[f1579,f706]) ).
fof(f1579,plain,
( e2 != op(op(e3,e2),e0)
| ~ spl75_24
| spl75_197 ),
inference(forward_demodulation,[],[f1513,f686]) ).
fof(f1513,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl75_197 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f1657,plain,
( ~ spl75_14
| ~ spl75_25
| ~ spl75_33
| spl75_198 ),
inference(avatar_split_clause,[],[f1578,f1515,f729,f689,f634]) ).
fof(f1515,plain,
( spl75_198
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_198])]) ).
fof(f1578,plain,
( e2 != op(e0,e3)
| ~ spl75_25
| ~ spl75_33
| spl75_198 ),
inference(forward_demodulation,[],[f1577,f731]) ).
fof(f1577,plain,
( e2 != op(op(e4,e2),e3)
| ~ spl75_25
| spl75_198 ),
inference(forward_demodulation,[],[f1517,f691]) ).
fof(f1517,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl75_198 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f1654,plain,
( ~ spl75_25
| ~ spl75_14
| ~ spl75_26
| spl75_199 ),
inference(avatar_split_clause,[],[f1576,f1519,f694,f634,f689]) ).
fof(f1519,plain,
( spl75_199
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_199])]) ).
fof(f1576,plain,
( e3 != op(e2,e4)
| ~ spl75_14
| ~ spl75_26
| spl75_199 ),
inference(forward_demodulation,[],[f1575,f636]) ).
fof(f1575,plain,
( e3 != op(op(e0,e3),e4)
| ~ spl75_26
| spl75_199 ),
inference(forward_demodulation,[],[f1521,f696]) ).
fof(f1521,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl75_199 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1651,plain,
( ~ spl75_31
| ~ spl75_19
| ~ spl75_27
| spl75_200 ),
inference(avatar_split_clause,[],[f1574,f1523,f699,f659,f719]) ).
fof(f1523,plain,
( spl75_200
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_200])]) ).
fof(f1574,plain,
( e3 != op(e4,e0)
| ~ spl75_19
| ~ spl75_27
| spl75_200 ),
inference(forward_demodulation,[],[f1573,f661]) ).
fof(f1573,plain,
( e3 != op(op(e1,e3),e0)
| ~ spl75_27
| spl75_200 ),
inference(forward_demodulation,[],[f1525,f701]) ).
fof(f1525,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl75_200 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1648,plain,
( ~ spl75_12
| ~ spl75_24
| ~ spl75_28
| spl75_201 ),
inference(avatar_split_clause,[],[f1572,f1527,f704,f684,f624]) ).
fof(f1527,plain,
( spl75_201
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_201])]) ).
fof(f1572,plain,
( e3 != op(e0,e1)
| ~ spl75_24
| ~ spl75_28
| spl75_201 ),
inference(forward_demodulation,[],[f1571,f686]) ).
fof(f1571,plain,
( e3 != op(op(e2,e3),e1)
| ~ spl75_28
| spl75_201 ),
inference(forward_demodulation,[],[f1529,f706]) ).
fof(f1529,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl75_201 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f1646,plain,
( ~ spl75_29
| ~ spl75_29
| spl75_202 ),
inference(avatar_split_clause,[],[f1570,f1531,f709,f709]) ).
fof(f1531,plain,
( spl75_202
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_202])]) ).
fof(f1570,plain,
( e3 != op(e3,e3)
| ~ spl75_29
| spl75_202 ),
inference(forward_demodulation,[],[f1533,f711]) ).
fof(f1533,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl75_202 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1643,plain,
( ~ spl75_18
| ~ spl75_30
| ~ spl75_34
| spl75_203 ),
inference(avatar_split_clause,[],[f1569,f1535,f734,f714,f654]) ).
fof(f1535,plain,
( spl75_203
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_203])]) ).
fof(f1569,plain,
( e3 != op(e1,e2)
| ~ spl75_30
| ~ spl75_34
| spl75_203 ),
inference(forward_demodulation,[],[f1568,f736]) ).
fof(f1568,plain,
( e3 != op(op(e4,e3),e2)
| ~ spl75_30
| spl75_203 ),
inference(forward_demodulation,[],[f1537,f716]) ).
fof(f1537,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl75_203 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1640,plain,
( ~ spl75_19
| ~ spl75_15
| ~ spl75_31
| spl75_204 ),
inference(avatar_split_clause,[],[f1567,f1539,f719,f639,f659]) ).
fof(f1539,plain,
( spl75_204
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_204])]) ).
fof(f1567,plain,
( e4 != op(e1,e3)
| ~ spl75_15
| ~ spl75_31
| spl75_204 ),
inference(forward_demodulation,[],[f1566,f641]) ).
fof(f1566,plain,
( e4 != op(op(e0,e4),e3)
| ~ spl75_31
| spl75_204 ),
inference(forward_demodulation,[],[f1541,f721]) ).
fof(f1541,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl75_204 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1637,plain,
( ~ spl75_13
| ~ spl75_20
| ~ spl75_32
| spl75_205 ),
inference(avatar_split_clause,[],[f1565,f1543,f724,f664,f629]) ).
fof(f1543,plain,
( spl75_205
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_205])]) ).
fof(f1565,plain,
( e4 != op(e0,e2)
| ~ spl75_20
| ~ spl75_32
| spl75_205 ),
inference(forward_demodulation,[],[f1564,f666]) ).
fof(f1564,plain,
( e4 != op(op(e1,e4),e2)
| ~ spl75_32
| spl75_205 ),
inference(forward_demodulation,[],[f1545,f726]) ).
fof(f1545,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl75_205 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1634,plain,
( ~ spl75_26
| ~ spl75_25
| ~ spl75_33
| spl75_206 ),
inference(avatar_split_clause,[],[f1563,f1547,f729,f689,f694]) ).
fof(f1547,plain,
( spl75_206
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_206])]) ).
fof(f1563,plain,
( e4 != op(e3,e0)
| ~ spl75_25
| ~ spl75_33
| spl75_206 ),
inference(forward_demodulation,[],[f1562,f691]) ).
fof(f1562,plain,
( e4 != op(op(e2,e4),e0)
| ~ spl75_33
| spl75_206 ),
inference(forward_demodulation,[],[f1549,f731]) ).
fof(f1549,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl75_206 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1631,plain,
( ~ spl75_22
| ~ spl75_30
| ~ spl75_34
| spl75_207 ),
inference(avatar_split_clause,[],[f1561,f1551,f734,f714,f674]) ).
fof(f1551,plain,
( spl75_207
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_207])]) ).
fof(f1561,plain,
( e4 != op(e2,e1)
| ~ spl75_30
| ~ spl75_34
| spl75_207 ),
inference(forward_demodulation,[],[f1560,f716]) ).
fof(f1560,plain,
( e4 != op(op(e3,e4),e1)
| ~ spl75_34
| spl75_207 ),
inference(forward_demodulation,[],[f1553,f736]) ).
fof(f1553,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl75_207 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1629,plain,
( ~ spl75_35
| ~ spl75_35
| spl75_208 ),
inference(avatar_split_clause,[],[f1559,f1555,f739,f739]) ).
fof(f1555,plain,
( spl75_208
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_208])]) ).
fof(f1559,plain,
( e4 != op(e4,e4)
| ~ spl75_35
| spl75_208 ),
inference(forward_demodulation,[],[f1557,f741]) ).
fof(f1557,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl75_208 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1558,plain,
( ~ spl75_159
| ~ spl75_160
| ~ spl75_161
| ~ spl75_162
| ~ spl75_163
| ~ spl75_164
| ~ spl75_165
| ~ spl75_166
| ~ spl75_167
| ~ spl75_168
| ~ spl75_169
| ~ spl75_170
| ~ spl75_171
| ~ spl75_172
| ~ spl75_173
| ~ spl75_174
| ~ spl75_175
| ~ spl75_176
| ~ spl75_177
| ~ spl75_178
| ~ spl75_179
| ~ spl75_180
| ~ spl75_181
| ~ spl75_182
| ~ spl75_183
| spl75_158
| spl75_157
| spl75_156
| spl75_155
| spl75_154
| spl75_153
| spl75_151
| spl75_149
| spl75_147
| spl75_146
| spl75_145
| spl75_143
| spl75_141
| spl75_140
| spl75_138
| spl75_137
| spl75_136
| spl75_134
| spl75_132
| spl75_130
| spl75_129
| spl75_127
| spl75_126
| spl75_124
| spl75_122
| spl75_121
| spl75_120
| spl75_119
| spl75_117
| spl75_116
| spl75_114
| spl75_113
| spl75_111
| spl75_110
| spl75_108
| spl75_106
| spl75_104
| spl75_102
| spl75_100
| spl75_99
| spl75_97
| spl75_95
| spl75_94
| spl75_92
| spl75_90
| spl75_88
| spl75_86
| spl75_85
| spl75_83
| spl75_81
| spl75_79
| spl75_77
| spl75_75
| spl75_73
| spl75_72
| spl75_70
| spl75_68
| spl75_66
| spl75_64
| spl75_62
| spl75_61
| spl75_59
| spl75_57
| spl75_56
| spl75_54
| spl75_52
| spl75_50
| spl75_48
| spl75_47
| spl75_45
| spl75_43
| spl75_42
| spl75_40
| spl75_38
| spl75_36
| ~ spl75_184
| ~ spl75_185
| ~ spl75_186
| ~ spl75_187
| ~ spl75_188
| ~ spl75_189
| ~ spl75_190
| ~ spl75_191
| ~ spl75_192
| ~ spl75_193
| ~ spl75_194
| ~ spl75_195
| ~ spl75_196
| ~ spl75_197
| ~ spl75_198
| ~ spl75_199
| ~ spl75_200
| ~ spl75_201
| ~ spl75_202
| ~ spl75_203
| ~ spl75_204
| ~ spl75_205
| ~ spl75_206
| ~ spl75_207
| ~ spl75_208 ),
inference(avatar_split_clause,[],[f532,f1555,f1551,f1547,f1543,f1539,f1535,f1531,f1527,f1523,f1519,f1515,f1511,f1507,f1503,f1499,f1495,f1491,f1487,f1483,f1479,f1475,f1471,f1467,f1463,f1459,f744,f754,f764,f774,f779,f789,f799,f804,f814,f824,f834,f844,f849,f859,f869,f874,f884,f894,f904,f914,f924,f929,f939,f949,f959,f969,f979,f989,f994,f1004,f1014,f1024,f1034,f1039,f1049,f1059,f1064,f1074,f1084,f1094,f1104,f1114,f1119,f1129,f1134,f1144,f1149,f1159,f1164,f1169,f1174,f1184,f1194,f1199,f1209,f1214,f1224,f1234,f1244,f1249,f1254,f1264,f1269,f1279,f1289,f1294,f1299,f1309,f1319,f1329,f1334,f1339,f1344,f1349,f1354,f1455,f1451,f1447,f1443,f1439,f1435,f1431,f1427,f1423,f1419,f1415,f1411,f1407,f1403,f1399,f1395,f1391,f1387,f1383,f1379,f1375,f1371,f1367,f1363,f1359]) ).
fof(f1354,plain,
( spl75_158
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_158])]) ).
fof(f1349,plain,
( spl75_157
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_157])]) ).
fof(f1344,plain,
( spl75_156
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_156])]) ).
fof(f1339,plain,
( spl75_155
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_155])]) ).
fof(f1334,plain,
( spl75_154
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_154])]) ).
fof(f1329,plain,
( spl75_153
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_153])]) ).
fof(f1294,plain,
( spl75_146
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_146])]) ).
fof(f1289,plain,
( spl75_145
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_145])]) ).
fof(f1264,plain,
( spl75_140
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_140])]) ).
fof(f1249,plain,
( spl75_137
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_137])]) ).
fof(f1244,plain,
( spl75_136
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_136])]) ).
fof(f1209,plain,
( spl75_129
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_129])]) ).
fof(f1194,plain,
( spl75_126
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_126])]) ).
fof(f1169,plain,
( spl75_121
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_121])]) ).
fof(f1164,plain,
( spl75_120
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_120])]) ).
fof(f1059,plain,
( spl75_99
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_99])]) ).
fof(f1034,plain,
( spl75_94
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_94])]) ).
fof(f989,plain,
( spl75_85
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_85])]) ).
fof(f924,plain,
( spl75_72
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_72])]) ).
fof(f869,plain,
( spl75_61
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_61])]) ).
fof(f844,plain,
( spl75_56
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_56])]) ).
fof(f799,plain,
( spl75_47
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_47])]) ).
fof(f774,plain,
( spl75_42
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_42])]) ).
fof(f532,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| e4 != op(op(e4,e4),e4)
| e4 != op(op(e4,e3),e3)
| e4 != op(op(e4,e2),e2)
| e4 != op(op(e4,e1),e1)
| e4 != op(op(e4,e0),e0)
| e3 != op(op(e3,e4),e4)
| e3 != op(op(e3,e3),e3)
| e3 != op(op(e3,e2),e2)
| e3 != op(op(e3,e1),e1)
| e3 != op(op(e3,e0),e0)
| e2 != op(op(e2,e4),e4)
| e2 != op(op(e2,e3),e3)
| e2 != op(op(e2,e2),e2)
| e2 != op(op(e2,e1),e1)
| e2 != op(op(e2,e0),e0)
| e1 != op(op(e1,e4),e4)
| e1 != op(op(e1,e3),e3)
| e1 != op(op(e1,e2),e2)
| e1 != op(op(e1,e1),e1)
| e1 != op(op(e1,e0),e0)
| e0 != op(op(e0,e4),e4)
| e0 != op(op(e0,e3),e3)
| e0 != op(op(e0,e2),e2)
| e0 != op(op(e0,e1),e1)
| e0 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| e4 != op(op(e4,e4),e4)
| e4 != op(op(e4,e3),e3)
| e4 != op(op(e4,e2),e2)
| e4 != op(op(e4,e1),e1)
| e4 != op(op(e4,e0),e0)
| e3 != op(op(e3,e4),e4)
| e3 != op(op(e3,e3),e3)
| e3 != op(op(e3,e2),e2)
| e3 != op(op(e3,e1),e1)
| e3 != op(op(e3,e0),e0)
| e2 != op(op(e2,e4),e4)
| e2 != op(op(e2,e3),e3)
| e2 != op(op(e2,e2),e2)
| e2 != op(op(e2,e1),e1)
| e2 != op(op(e2,e0),e0)
| e1 != op(op(e1,e4),e4)
| e1 != op(op(e1,e3),e3)
| e1 != op(op(e1,e2),e2)
| e1 != op(op(e1,e1),e1)
| e1 != op(op(e1,e0),e0)
| e0 != op(op(e0,e4),e4)
| e0 != op(op(e0,e3),e3)
| e0 != op(op(e0,e2),e2)
| e0 != op(op(e0,e1),e1)
| e0 != op(op(e0,e0),e0) ),
inference(definition_folding,[],[f5,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f6,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f11,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f16,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f22,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f32,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f45,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f60,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f66,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f69,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f77,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f5,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| e4 != op(op(e4,e4),e4)
| e4 != op(op(e4,e3),e3)
| e4 != op(op(e4,e2),e2)
| e4 != op(op(e4,e1),e1)
| e4 != op(op(e4,e0),e0)
| e3 != op(op(e3,e4),e4)
| e3 != op(op(e3,e3),e3)
| e3 != op(op(e3,e2),e2)
| e3 != op(op(e3,e1),e1)
| e3 != op(op(e3,e0),e0)
| e2 != op(op(e2,e4),e4)
| e2 != op(op(e2,e3),e3)
| e2 != op(op(e2,e2),e2)
| e2 != op(op(e2,e1),e1)
| e2 != op(op(e2,e0),e0)
| e1 != op(op(e1,e4),e4)
| e1 != op(op(e1,e3),e3)
| e1 != op(op(e1,e2),e2)
| e1 != op(op(e1,e1),e1)
| e1 != op(op(e1,e0),e0)
| e0 != op(op(e0,e4),e4)
| e0 != op(op(e0,e3),e3)
| e0 != op(op(e0,e2),e2)
| e0 != op(op(e0,e1),e1)
| e0 != op(op(e0,e0),e0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( e4 = op(op(e4,e4),op(e4,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(op(e1,e4),op(e4,e1))
& e4 = op(op(e0,e4),op(e4,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e3 = op(op(e3,e3),op(e3,e3))
& e3 = op(op(e2,e3),op(e3,e2))
& e3 = op(op(e1,e3),op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(op(e4,e2),op(e2,e4))
& e2 = op(op(e3,e2),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e2 = op(op(e1,e2),op(e2,e1))
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(op(e4,e1),op(e1,e4))
& e1 = op(op(e3,e1),op(e1,e3))
& e1 = op(op(e2,e1),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e1 = op(op(e0,e1),op(e1,e0))
& e0 = op(op(e4,e0),op(e0,e4))
& e0 = op(op(e3,e0),op(e0,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0))
& ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| e4 = op(e0,e0) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& e4 = op(op(e4,e4),e4)
& e4 = op(op(e4,e3),e3)
& e4 = op(op(e4,e2),e2)
& e4 = op(op(e4,e1),e1)
& e4 = op(op(e4,e0),e0)
& e3 = op(op(e3,e4),e4)
& e3 = op(op(e3,e3),e3)
& e3 = op(op(e3,e2),e2)
& e3 = op(op(e3,e1),e1)
& e3 = op(op(e3,e0),e0)
& e2 = op(op(e2,e4),e4)
& e2 = op(op(e2,e3),e3)
& e2 = op(op(e2,e2),e2)
& e2 = op(op(e2,e1),e1)
& e2 = op(op(e2,e0),e0)
& e1 = op(op(e1,e4),e4)
& e1 = op(op(e1,e3),e3)
& e1 = op(op(e1,e2),e2)
& e1 = op(op(e1,e1),e1)
& e1 = op(op(e1,e0),e0)
& e0 = op(op(e0,e4),e4)
& e0 = op(op(e0,e3),e3)
& e0 = op(op(e0,e2),e2)
& e0 = op(op(e0,e1),e1)
& e0 = op(op(e0,e0),e0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( e4 = op(op(e4,e4),op(e4,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(op(e1,e4),op(e4,e1))
& e4 = op(op(e0,e4),op(e4,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e3 = op(op(e3,e3),op(e3,e3))
& e3 = op(op(e2,e3),op(e3,e2))
& e3 = op(op(e1,e3),op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(op(e4,e2),op(e2,e4))
& e2 = op(op(e3,e2),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e2 = op(op(e1,e2),op(e2,e1))
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(op(e4,e1),op(e1,e4))
& e1 = op(op(e3,e1),op(e1,e3))
& e1 = op(op(e2,e1),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e1 = op(op(e0,e1),op(e1,e0))
& e0 = op(op(e4,e0),op(e0,e4))
& e0 = op(op(e3,e0),op(e0,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0))
& ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| e4 = op(e0,e0) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& e4 = op(op(e4,e4),e4)
& e4 = op(op(e4,e3),e3)
& e4 = op(op(e4,e2),e2)
& e4 = op(op(e4,e1),e1)
& e4 = op(op(e4,e0),e0)
& e3 = op(op(e3,e4),e4)
& e3 = op(op(e3,e3),e3)
& e3 = op(op(e3,e2),e2)
& e3 = op(op(e3,e1),e1)
& e3 = op(op(e3,e0),e0)
& e2 = op(op(e2,e4),e4)
& e2 = op(op(e2,e3),e3)
& e2 = op(op(e2,e2),e2)
& e2 = op(op(e2,e1),e1)
& e2 = op(op(e2,e0),e0)
& e1 = op(op(e1,e4),e4)
& e1 = op(op(e1,e3),e3)
& e1 = op(op(e1,e2),e2)
& e1 = op(op(e1,e1),e1)
& e1 = op(op(e1,e0),e0)
& e0 = op(op(e0,e4),e4)
& e0 = op(op(e0,e3),e3)
& e0 = op(op(e0,e2),e2)
& e0 = op(op(e0,e1),e1)
& e0 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1357,plain,
( ~ spl75_158
| ~ spl75_11 ),
inference(avatar_split_clause,[],[f527,f619,f1354]) ).
fof(f527,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f1352,plain,
( ~ spl75_157
| ~ spl75_12 ),
inference(avatar_split_clause,[],[f525,f624,f1349]) ).
fof(f525,plain,
( e3 != op(e0,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f1347,plain,
( ~ spl75_156
| ~ spl75_13 ),
inference(avatar_split_clause,[],[f521,f629,f1344]) ).
fof(f521,plain,
( e4 != op(e0,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1342,plain,
( ~ spl75_155
| ~ spl75_14 ),
inference(avatar_split_clause,[],[f514,f634,f1339]) ).
fof(f514,plain,
( e2 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1337,plain,
( ~ spl75_154
| ~ spl75_15 ),
inference(avatar_split_clause,[],[f508,f639,f1334]) ).
fof(f508,plain,
( e1 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1332,plain,
( ~ spl75_153
| ~ spl75_16 ),
inference(avatar_split_clause,[],[f504,f644,f1329]) ).
fof(f504,plain,
( e2 != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1326,plain,
( ~ spl75_151
| ~ spl75_152 ),
inference(avatar_split_clause,[],[f497,f1323,f1319]) ).
fof(f1323,plain,
( spl75_152
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_152])]) ).
fof(f497,plain,
( e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f150]) ).
fof(f1316,plain,
( ~ spl75_149
| ~ spl75_150 ),
inference(avatar_split_clause,[],[f492,f1313,f1309]) ).
fof(f1313,plain,
( spl75_150
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_150])]) ).
fof(f492,plain,
( e0 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f149]) ).
fof(f1306,plain,
( ~ spl75_147
| ~ spl75_148 ),
inference(avatar_split_clause,[],[f487,f1303,f1299]) ).
fof(f1303,plain,
( spl75_148
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_148])]) ).
fof(f487,plain,
( e0 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f148]) ).
fof(f1297,plain,
( ~ spl75_146
| ~ spl75_20 ),
inference(avatar_split_clause,[],[f482,f664,f1294]) ).
fof(f482,plain,
( e0 != op(e1,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1292,plain,
( ~ spl75_145
| ~ spl75_21 ),
inference(avatar_split_clause,[],[f478,f669,f1289]) ).
fof(f478,plain,
( e1 != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1286,plain,
( ~ spl75_143
| ~ spl75_144 ),
inference(avatar_split_clause,[],[f472,f1283,f1279]) ).
fof(f1283,plain,
( spl75_144
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_144])]) ).
fof(f472,plain,
( e0 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1276,plain,
( ~ spl75_141
| ~ spl75_142 ),
inference(avatar_split_clause,[],[f467,f1273,f1269]) ).
fof(f1273,plain,
( spl75_142
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_142])]) ).
fof(f467,plain,
( e0 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1267,plain,
( ~ spl75_140
| ~ spl75_24 ),
inference(avatar_split_clause,[],[f462,f684,f1264]) ).
fof(f462,plain,
( e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1261,plain,
( ~ spl75_138
| ~ spl75_139 ),
inference(avatar_split_clause,[],[f457,f1258,f1254]) ).
fof(f1258,plain,
( spl75_139
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_139])]) ).
fof(f457,plain,
( e0 != op(e2,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1252,plain,
( ~ spl75_137
| ~ spl75_26 ),
inference(avatar_split_clause,[],[f456,f694,f1249]) ).
fof(f456,plain,
( e4 != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1247,plain,
( ~ spl75_136
| ~ spl75_27 ),
inference(avatar_split_clause,[],[f447,f699,f1244]) ).
fof(f447,plain,
( e0 != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1241,plain,
( ~ spl75_134
| ~ spl75_135 ),
inference(avatar_split_clause,[],[f442,f1238,f1234]) ).
fof(f1238,plain,
( spl75_135
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_135])]) ).
fof(f442,plain,
( e0 != op(e3,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f139]) ).
fof(f1231,plain,
( ~ spl75_132
| ~ spl75_133 ),
inference(avatar_split_clause,[],[f437,f1228,f1224]) ).
fof(f1228,plain,
( spl75_133
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_133])]) ).
fof(f437,plain,
( e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f138]) ).
fof(f1221,plain,
( ~ spl75_130
| ~ spl75_131 ),
inference(avatar_split_clause,[],[f432,f1218,f1214]) ).
fof(f1218,plain,
( spl75_131
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_131])]) ).
fof(f432,plain,
( e0 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f137]) ).
fof(f1212,plain,
( ~ spl75_129
| ~ spl75_31 ),
inference(avatar_split_clause,[],[f430,f719,f1209]) ).
fof(f430,plain,
( e3 != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1206,plain,
( ~ spl75_127
| ~ spl75_128 ),
inference(avatar_split_clause,[],[f422,f1203,f1199]) ).
fof(f1203,plain,
( spl75_128
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_128])]) ).
fof(f422,plain,
( e0 != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f135]) ).
fof(f1197,plain,
( ~ spl75_126
| ~ spl75_33 ),
inference(avatar_split_clause,[],[f417,f729,f1194]) ).
fof(f417,plain,
( e0 != op(e4,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1191,plain,
( ~ spl75_124
| ~ spl75_125 ),
inference(avatar_split_clause,[],[f412,f1188,f1184]) ).
fof(f1188,plain,
( spl75_125
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_125])]) ).
fof(f412,plain,
( e0 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f133]) ).
fof(f1181,plain,
( ~ spl75_122
| ~ spl75_123 ),
inference(avatar_split_clause,[],[f407,f1178,f1174]) ).
fof(f1178,plain,
( spl75_123
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_123])]) ).
fof(f407,plain,
( e0 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f132]) ).
fof(f1172,plain,
( ~ spl75_121
| ~ spl75_11 ),
inference(avatar_split_clause,[],[f402,f619,f1169]) ).
fof(f402,plain,
( e0 != op(e0,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1167,plain,
( ~ spl75_120
| ~ spl75_11 ),
inference(avatar_split_clause,[],[f397,f619,f1164]) ).
fof(f397,plain,
( e0 != op(e0,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1162,plain,
( ~ spl75_119
| ~ spl75_118 ),
inference(avatar_split_clause,[],[f392,f1153,f1159]) ).
fof(f1153,plain,
( spl75_118
<=> e1 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_118])]) ).
fof(f392,plain,
( e1 != op(e0,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f129]) ).
fof(f1156,plain,
( ~ spl75_117
| ~ spl75_118 ),
inference(avatar_split_clause,[],[f387,f1153,f1149]) ).
fof(f387,plain,
( e1 != op(e0,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f128]) ).
fof(f1147,plain,
( ~ spl75_116
| ~ spl75_115 ),
inference(avatar_split_clause,[],[f382,f1138,f1144]) ).
fof(f1138,plain,
( spl75_115
<=> e2 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_115])]) ).
fof(f382,plain,
( e2 != op(e0,e0)
| ~ sP29 ),
inference(cnf_transformation,[],[f127]) ).
fof(f1141,plain,
( ~ spl75_114
| ~ spl75_115 ),
inference(avatar_split_clause,[],[f377,f1138,f1134]) ).
fof(f377,plain,
( e2 != op(e0,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f126]) ).
fof(f1132,plain,
( ~ spl75_113
| ~ spl75_112 ),
inference(avatar_split_clause,[],[f372,f1123,f1129]) ).
fof(f1123,plain,
( spl75_112
<=> e3 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_112])]) ).
fof(f372,plain,
( e3 != op(e0,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f125]) ).
fof(f1126,plain,
( ~ spl75_111
| ~ spl75_112 ),
inference(avatar_split_clause,[],[f367,f1123,f1119]) ).
fof(f367,plain,
( e3 != op(e0,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f124]) ).
fof(f1117,plain,
( ~ spl75_110
| ~ spl75_109 ),
inference(avatar_split_clause,[],[f362,f1108,f1114]) ).
fof(f1108,plain,
( spl75_109
<=> e4 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_109])]) ).
fof(f362,plain,
( e4 != op(e0,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f123]) ).
fof(f1111,plain,
( ~ spl75_108
| ~ spl75_109 ),
inference(avatar_split_clause,[],[f357,f1108,f1104]) ).
fof(f357,plain,
( e4 != op(e0,e0)
| ~ sP34 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1101,plain,
( ~ spl75_106
| ~ spl75_107 ),
inference(avatar_split_clause,[],[f352,f1098,f1094]) ).
fof(f1098,plain,
( spl75_107
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_107])]) ).
fof(f352,plain,
( e0 != op(e1,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f121]) ).
fof(f1091,plain,
( ~ spl75_104
| ~ spl75_105 ),
inference(avatar_split_clause,[],[f347,f1088,f1084]) ).
fof(f1088,plain,
( spl75_105
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_105])]) ).
fof(f347,plain,
( e0 != op(e0,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1081,plain,
( ~ spl75_102
| ~ spl75_103 ),
inference(avatar_split_clause,[],[f342,f1078,f1074]) ).
fof(f1078,plain,
( spl75_103
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_103])]) ).
fof(f342,plain,
( e1 != op(e1,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f119]) ).
fof(f1071,plain,
( ~ spl75_100
| ~ spl75_101 ),
inference(avatar_split_clause,[],[f337,f1068,f1064]) ).
fof(f1068,plain,
( spl75_101
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_101])]) ).
fof(f337,plain,
( e1 != op(e0,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f118]) ).
fof(f1062,plain,
( ~ spl75_99
| ~ spl75_16 ),
inference(avatar_split_clause,[],[f332,f644,f1059]) ).
fof(f332,plain,
( e2 != op(e1,e0)
| ~ sP39 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1056,plain,
( ~ spl75_97
| ~ spl75_98 ),
inference(avatar_split_clause,[],[f327,f1053,f1049]) ).
fof(f1053,plain,
( spl75_98
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_98])]) ).
fof(f327,plain,
( e2 != op(e0,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f116]) ).
fof(f1046,plain,
( ~ spl75_95
| ~ spl75_96 ),
inference(avatar_split_clause,[],[f322,f1043,f1039]) ).
fof(f1043,plain,
( spl75_96
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_96])]) ).
fof(f322,plain,
( e3 != op(e1,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f115]) ).
fof(f1037,plain,
( ~ spl75_94
| ~ spl75_12 ),
inference(avatar_split_clause,[],[f317,f624,f1034]) ).
fof(f317,plain,
( e3 != op(e0,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1031,plain,
( ~ spl75_92
| ~ spl75_93 ),
inference(avatar_split_clause,[],[f312,f1028,f1024]) ).
fof(f1028,plain,
( spl75_93
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_93])]) ).
fof(f312,plain,
( e4 != op(e1,e0)
| ~ sP43 ),
inference(cnf_transformation,[],[f113]) ).
fof(f1021,plain,
( ~ spl75_90
| ~ spl75_91 ),
inference(avatar_split_clause,[],[f307,f1018,f1014]) ).
fof(f1018,plain,
( spl75_91
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_91])]) ).
fof(f307,plain,
( e4 != op(e0,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f112]) ).
fof(f1011,plain,
( ~ spl75_88
| ~ spl75_89 ),
inference(avatar_split_clause,[],[f302,f1008,f1004]) ).
fof(f1008,plain,
( spl75_89
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_89])]) ).
fof(f302,plain,
( e0 != op(e2,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f111]) ).
fof(f1001,plain,
( ~ spl75_86
| ~ spl75_87 ),
inference(avatar_split_clause,[],[f297,f998,f994]) ).
fof(f998,plain,
( spl75_87
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_87])]) ).
fof(f297,plain,
( e0 != op(e0,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f110]) ).
fof(f992,plain,
( ~ spl75_85
| ~ spl75_21 ),
inference(avatar_split_clause,[],[f292,f669,f989]) ).
fof(f292,plain,
( e1 != op(e2,e0)
| ~ sP47 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f986,plain,
( ~ spl75_83
| ~ spl75_84 ),
inference(avatar_split_clause,[],[f287,f983,f979]) ).
fof(f983,plain,
( spl75_84
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_84])]) ).
fof(f287,plain,
( e1 != op(e0,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f108]) ).
fof(f976,plain,
( ~ spl75_81
| ~ spl75_82 ),
inference(avatar_split_clause,[],[f282,f973,f969]) ).
fof(f973,plain,
( spl75_82
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_82])]) ).
fof(f282,plain,
( e2 != op(e2,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f107]) ).
fof(f966,plain,
( ~ spl75_79
| ~ spl75_80 ),
inference(avatar_split_clause,[],[f277,f963,f959]) ).
fof(f963,plain,
( spl75_80
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_80])]) ).
fof(f277,plain,
( e2 != op(e0,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f106]) ).
fof(f956,plain,
( ~ spl75_77
| ~ spl75_78 ),
inference(avatar_split_clause,[],[f272,f953,f949]) ).
fof(f953,plain,
( spl75_78
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_78])]) ).
fof(f272,plain,
( e3 != op(e2,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f105]) ).
fof(f946,plain,
( ~ spl75_75
| ~ spl75_76 ),
inference(avatar_split_clause,[],[f267,f943,f939]) ).
fof(f943,plain,
( spl75_76
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_76])]) ).
fof(f267,plain,
( e3 != op(e0,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f104]) ).
fof(f936,plain,
( ~ spl75_73
| ~ spl75_74 ),
inference(avatar_split_clause,[],[f262,f933,f929]) ).
fof(f933,plain,
( spl75_74
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_74])]) ).
fof(f262,plain,
( e4 != op(e2,e0)
| ~ sP53 ),
inference(cnf_transformation,[],[f103]) ).
fof(f927,plain,
( ~ spl75_72
| ~ spl75_13 ),
inference(avatar_split_clause,[],[f257,f629,f924]) ).
fof(f257,plain,
( e4 != op(e0,e2)
| ~ sP54 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f921,plain,
( ~ spl75_70
| ~ spl75_71 ),
inference(avatar_split_clause,[],[f252,f918,f914]) ).
fof(f918,plain,
( spl75_71
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_71])]) ).
fof(f252,plain,
( e0 != op(e3,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f101]) ).
fof(f911,plain,
( ~ spl75_68
| ~ spl75_69 ),
inference(avatar_split_clause,[],[f247,f908,f904]) ).
fof(f908,plain,
( spl75_69
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_69])]) ).
fof(f247,plain,
( e0 != op(e0,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f100]) ).
fof(f901,plain,
( ~ spl75_66
| ~ spl75_67 ),
inference(avatar_split_clause,[],[f242,f898,f894]) ).
fof(f898,plain,
( spl75_67
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_67])]) ).
fof(f242,plain,
( e1 != op(e3,e0)
| ~ sP57 ),
inference(cnf_transformation,[],[f99]) ).
fof(f891,plain,
( ~ spl75_64
| ~ spl75_65 ),
inference(avatar_split_clause,[],[f237,f888,f884]) ).
fof(f888,plain,
( spl75_65
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_65])]) ).
fof(f237,plain,
( e1 != op(e0,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f98]) ).
fof(f881,plain,
( ~ spl75_62
| ~ spl75_63 ),
inference(avatar_split_clause,[],[f232,f878,f874]) ).
fof(f878,plain,
( spl75_63
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_63])]) ).
fof(f232,plain,
( e2 != op(e3,e0)
| ~ sP59 ),
inference(cnf_transformation,[],[f97]) ).
fof(f872,plain,
( ~ spl75_61
| ~ spl75_14 ),
inference(avatar_split_clause,[],[f227,f634,f869]) ).
fof(f227,plain,
( e2 != op(e0,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f866,plain,
( ~ spl75_59
| ~ spl75_60 ),
inference(avatar_split_clause,[],[f222,f863,f859]) ).
fof(f863,plain,
( spl75_60
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_60])]) ).
fof(f222,plain,
( e3 != op(e3,e0)
| ~ sP61 ),
inference(cnf_transformation,[],[f95]) ).
fof(f856,plain,
( ~ spl75_57
| ~ spl75_58 ),
inference(avatar_split_clause,[],[f217,f853,f849]) ).
fof(f853,plain,
( spl75_58
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_58])]) ).
fof(f217,plain,
( e3 != op(e0,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f94]) ).
fof(f847,plain,
( ~ spl75_56
| ~ spl75_26 ),
inference(avatar_split_clause,[],[f212,f694,f844]) ).
fof(f212,plain,
( e4 != op(e3,e0)
| ~ sP63 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f841,plain,
( ~ spl75_54
| ~ spl75_55 ),
inference(avatar_split_clause,[],[f207,f838,f834]) ).
fof(f838,plain,
( spl75_55
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_55])]) ).
fof(f207,plain,
( e4 != op(e0,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f92]) ).
fof(f831,plain,
( ~ spl75_52
| ~ spl75_53 ),
inference(avatar_split_clause,[],[f202,f828,f824]) ).
fof(f828,plain,
( spl75_53
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_53])]) ).
fof(f202,plain,
( e0 != op(e4,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f91]) ).
fof(f821,plain,
( ~ spl75_50
| ~ spl75_51 ),
inference(avatar_split_clause,[],[f197,f818,f814]) ).
fof(f818,plain,
( spl75_51
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_51])]) ).
fof(f197,plain,
( e0 != op(e0,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f90]) ).
fof(f811,plain,
( ~ spl75_48
| ~ spl75_49 ),
inference(avatar_split_clause,[],[f192,f808,f804]) ).
fof(f808,plain,
( spl75_49
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_49])]) ).
fof(f192,plain,
( e1 != op(e4,e0)
| ~ sP67 ),
inference(cnf_transformation,[],[f89]) ).
fof(f802,plain,
( ~ spl75_47
| ~ spl75_15 ),
inference(avatar_split_clause,[],[f187,f639,f799]) ).
fof(f187,plain,
( e1 != op(e0,e4)
| ~ sP68 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f796,plain,
( ~ spl75_45
| ~ spl75_46 ),
inference(avatar_split_clause,[],[f182,f793,f789]) ).
fof(f793,plain,
( spl75_46
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_46])]) ).
fof(f182,plain,
( e2 != op(e4,e0)
| ~ sP69 ),
inference(cnf_transformation,[],[f87]) ).
fof(f786,plain,
( ~ spl75_43
| ~ spl75_44 ),
inference(avatar_split_clause,[],[f177,f783,f779]) ).
fof(f783,plain,
( spl75_44
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_44])]) ).
fof(f177,plain,
( e2 != op(e0,e4)
| ~ sP70 ),
inference(cnf_transformation,[],[f86]) ).
fof(f777,plain,
( ~ spl75_42
| ~ spl75_31 ),
inference(avatar_split_clause,[],[f172,f719,f774]) ).
fof(f172,plain,
( e3 != op(e4,e0)
| ~ sP71 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f771,plain,
( ~ spl75_40
| ~ spl75_41 ),
inference(avatar_split_clause,[],[f167,f768,f764]) ).
fof(f768,plain,
( spl75_41
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_41])]) ).
fof(f167,plain,
( e3 != op(e0,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f84]) ).
fof(f761,plain,
( ~ spl75_38
| ~ spl75_39 ),
inference(avatar_split_clause,[],[f162,f758,f754]) ).
fof(f758,plain,
( spl75_39
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_39])]) ).
fof(f162,plain,
( e4 != op(e4,e0)
| ~ sP73 ),
inference(cnf_transformation,[],[f83]) ).
fof(f751,plain,
( ~ spl75_36
| ~ spl75_37 ),
inference(avatar_split_clause,[],[f157,f748,f744]) ).
fof(f748,plain,
( spl75_37
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_37])]) ).
fof(f157,plain,
( e4 != op(e0,e4)
| ~ sP74 ),
inference(cnf_transformation,[],[f82]) ).
fof(f742,plain,
spl75_35,
inference(avatar_split_clause,[],[f567,f739]) ).
fof(f567,plain,
e4 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e4 = op(e4,e4)
& e1 = op(e4,e3)
& e0 = op(e4,e2)
& e2 = op(e4,e1)
& e3 = op(e4,e0)
& e2 = op(e3,e4)
& e3 = op(e3,e3)
& e1 = op(e3,e2)
& e0 = op(e3,e1)
& e4 = op(e3,e0)
& e3 = op(e2,e4)
& e0 = op(e2,e3)
& e2 = op(e2,e2)
& e4 = op(e2,e1)
& e1 = op(e2,e0)
& e0 = op(e1,e4)
& e4 = op(e1,e3)
& e3 = op(e1,e2)
& e1 = op(e1,e1)
& e2 = op(e1,e0)
& e1 = op(e0,e4)
& e2 = op(e0,e3)
& e4 = op(e0,e2)
& e3 = op(e0,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f737,plain,
spl75_34,
inference(avatar_split_clause,[],[f566,f734]) ).
fof(f566,plain,
e1 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f732,plain,
spl75_33,
inference(avatar_split_clause,[],[f565,f729]) ).
fof(f565,plain,
e0 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f727,plain,
spl75_32,
inference(avatar_split_clause,[],[f564,f724]) ).
fof(f564,plain,
e2 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f722,plain,
spl75_31,
inference(avatar_split_clause,[],[f563,f719]) ).
fof(f563,plain,
e3 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f717,plain,
spl75_30,
inference(avatar_split_clause,[],[f562,f714]) ).
fof(f562,plain,
e2 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f712,plain,
spl75_29,
inference(avatar_split_clause,[],[f561,f709]) ).
fof(f561,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f707,plain,
spl75_28,
inference(avatar_split_clause,[],[f560,f704]) ).
fof(f560,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f702,plain,
spl75_27,
inference(avatar_split_clause,[],[f559,f699]) ).
fof(f559,plain,
e0 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f697,plain,
spl75_26,
inference(avatar_split_clause,[],[f558,f694]) ).
fof(f558,plain,
e4 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f692,plain,
spl75_25,
inference(avatar_split_clause,[],[f557,f689]) ).
fof(f557,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f687,plain,
spl75_24,
inference(avatar_split_clause,[],[f556,f684]) ).
fof(f556,plain,
e0 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f682,plain,
spl75_23,
inference(avatar_split_clause,[],[f555,f679]) ).
fof(f555,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f677,plain,
spl75_22,
inference(avatar_split_clause,[],[f554,f674]) ).
fof(f554,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f672,plain,
spl75_21,
inference(avatar_split_clause,[],[f553,f669]) ).
fof(f553,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f667,plain,
spl75_20,
inference(avatar_split_clause,[],[f552,f664]) ).
fof(f552,plain,
e0 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f662,plain,
spl75_19,
inference(avatar_split_clause,[],[f551,f659]) ).
fof(f551,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f657,plain,
spl75_18,
inference(avatar_split_clause,[],[f550,f654]) ).
fof(f550,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f652,plain,
spl75_17,
inference(avatar_split_clause,[],[f549,f649]) ).
fof(f549,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f647,plain,
spl75_16,
inference(avatar_split_clause,[],[f548,f644]) ).
fof(f548,plain,
e2 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f642,plain,
spl75_15,
inference(avatar_split_clause,[],[f547,f639]) ).
fof(f547,plain,
e1 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f637,plain,
spl75_14,
inference(avatar_split_clause,[],[f546,f634]) ).
fof(f546,plain,
e2 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f632,plain,
spl75_13,
inference(avatar_split_clause,[],[f545,f629]) ).
fof(f545,plain,
e4 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f627,plain,
spl75_12,
inference(avatar_split_clause,[],[f544,f624]) ).
fof(f544,plain,
e3 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f622,plain,
spl75_11,
inference(avatar_split_clause,[],[f543,f619]) ).
fof(f543,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f617,plain,
~ spl75_10,
inference(avatar_split_clause,[],[f542,f614]) ).
fof(f614,plain,
( spl75_10
<=> e3 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_10])]) ).
fof(f542,plain,
e3 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f612,plain,
~ spl75_9,
inference(avatar_split_clause,[],[f541,f609]) ).
fof(f609,plain,
( spl75_9
<=> e2 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_9])]) ).
fof(f541,plain,
e2 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f607,plain,
~ spl75_8,
inference(avatar_split_clause,[],[f540,f604]) ).
fof(f604,plain,
( spl75_8
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_8])]) ).
fof(f540,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f602,plain,
~ spl75_7,
inference(avatar_split_clause,[],[f539,f599]) ).
fof(f599,plain,
( spl75_7
<=> e1 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_7])]) ).
fof(f539,plain,
e1 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f597,plain,
~ spl75_6,
inference(avatar_split_clause,[],[f538,f594]) ).
fof(f594,plain,
( spl75_6
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_6])]) ).
fof(f538,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f592,plain,
~ spl75_5,
inference(avatar_split_clause,[],[f537,f589]) ).
fof(f589,plain,
( spl75_5
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_5])]) ).
fof(f537,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f587,plain,
~ spl75_4,
inference(avatar_split_clause,[],[f536,f584]) ).
fof(f584,plain,
( spl75_4
<=> e0 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_4])]) ).
fof(f536,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f582,plain,
~ spl75_3,
inference(avatar_split_clause,[],[f535,f579]) ).
fof(f579,plain,
( spl75_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_3])]) ).
fof(f535,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f577,plain,
~ spl75_2,
inference(avatar_split_clause,[],[f534,f574]) ).
fof(f574,plain,
( spl75_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_2])]) ).
fof(f534,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f572,plain,
~ spl75_1,
inference(avatar_split_clause,[],[f533,f569]) ).
fof(f569,plain,
( spl75_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_1])]) ).
fof(f533,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG189+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:01:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (21590)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (21592)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (21591)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (21593)WARNING: value z3 for option sas not known
% 0.21/0.38 % (21593)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (21594)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (21595)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (21596)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (21597)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.43 % (21595)First to succeed.
% 0.21/0.44 % (21595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21590"
% 0.21/0.44 % (21595)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (21595)------------------------------
% 0.21/0.45 % (21595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (21595)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (21595)Memory used [KB]: 1518
% 0.21/0.45 % (21595)Time elapsed: 0.060 s
% 0.21/0.45 % (21595)Instructions burned: 80 (million)
% 0.21/0.45 % (21590)Success in time 0.101 s
%------------------------------------------------------------------------------