TSTP Solution File: ALG186+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 15:40:23 EDT 2022
% Result : Theorem 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 208
% Syntax : Number of formulae : 657 ( 56 unt; 0 def)
% Number of atoms : 3689 (2425 equ)
% Maximal formula atoms : 425 ( 5 avg)
% Number of connectives : 5095 (2063 ~;1721 |;1181 &)
% ( 130 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 207 ( 205 usr; 206 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2045,plain,
$false,
inference(avatar_sat_refutation,[],[f607,f652,f707,f725,f879,f906,f1209,f1221,f1241,f1251,f1266,f1282,f1305,f1317,f1323,f1325,f1358,f1363,f1399,f1400,f1432,f1435,f1453,f1454,f1455,f1457,f1460,f1467,f1477,f1529,f1531,f1532,f1533,f1564,f1569,f1580,f1590,f1592,f1594,f1595,f1597,f1605,f1606,f1614,f1620,f1621,f1624,f1625,f1628,f1634,f1641,f1650,f1651,f1653,f1659,f1661,f1679,f1682,f1687,f1696,f1704,f1706,f1708,f1712,f1714,f1717,f1721,f1729,f1735,f1736,f1737,f1745,f1747,f1754,f1756,f1758,f1768,f1777,f1779,f1783,f1789,f1809,f1812,f1813,f1816,f1817,f1835,f1839,f1840,f1844,f1861,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f1874,f1875,f1876,f1879,f1885,f1889,f1894,f1900,f1904,f1912,f1916,f1923,f1930,f1936,f1939,f1944,f1950,f1954,f1962,f1968,f1974,f1977,f1983,f1990,f1996,f2000,f2008,f2014,f2030,f2033,f2036,f2039,f2043]) ).
fof(f2043,plain,
( ~ spl75_165
| ~ spl75_211 ),
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2042,plain,
( $false
| ~ spl75_165
| ~ spl75_211 ),
inference(subsumption_resolution,[],[f2041,f564]) ).
fof(f564,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e2 != e4
& e0 != e2
& e0 != e3
& e2 != e3
& e0 != e1
& e1 != e3
& e1 != e4
& e1 != e2
& e0 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2041,plain,
( e1 = e2
| ~ spl75_165
| ~ spl75_211 ),
inference(forward_demodulation,[],[f1302,f1618]) ).
fof(f1618,plain,
( e1 = op(e2,e0)
| ~ spl75_211 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f1617,plain,
( spl75_211
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_211])]) ).
fof(f1302,plain,
( e2 = op(e2,e0)
| ~ spl75_165 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1301,plain,
( spl75_165
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_165])]) ).
fof(f2039,plain,
( ~ spl75_91
| ~ spl75_217 ),
inference(avatar_contradiction_clause,[],[f2038]) ).
fof(f2038,plain,
( $false
| ~ spl75_91
| ~ spl75_217 ),
inference(subsumption_resolution,[],[f2037,f571]) ).
fof(f571,plain,
e2 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f2037,plain,
( e2 = e4
| ~ spl75_91
| ~ spl75_217 ),
inference(forward_demodulation,[],[f980,f1677]) ).
fof(f1677,plain,
( e2 = op(e4,e0)
| ~ spl75_217 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1676,plain,
( spl75_217
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_217])]) ).
fof(f980,plain,
( e4 = op(e4,e0)
| ~ spl75_91 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl75_91
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_91])]) ).
fof(f2036,plain,
( ~ spl75_62
| ~ spl75_167 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
fof(f2035,plain,
( $false
| ~ spl75_62
| ~ spl75_167 ),
inference(subsumption_resolution,[],[f2034,f567]) ).
fof(f567,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f2034,plain,
( e0 = e1
| ~ spl75_62
| ~ spl75_167 ),
inference(forward_demodulation,[],[f853,f1315]) ).
fof(f1315,plain,
( e0 = op(e1,e0)
| ~ spl75_167 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl75_167
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_167])]) ).
fof(f853,plain,
( e1 = op(e1,e0)
| ~ spl75_62 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f852,plain,
( spl75_62
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_62])]) ).
fof(f2033,plain,
( ~ spl75_33
| ~ spl75_56 ),
inference(avatar_contradiction_clause,[],[f2032]) ).
fof(f2032,plain,
( $false
| ~ spl75_33
| ~ spl75_56 ),
inference(subsumption_resolution,[],[f2031,f569]) ).
fof(f569,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f2031,plain,
( e0 = e3
| ~ spl75_33
| ~ spl75_56 ),
inference(backward_demodulation,[],[f719,f824]) ).
fof(f824,plain,
( e0 = op(e0,e0)
| ~ spl75_56 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl75_56
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_56])]) ).
fof(f719,plain,
( e3 = op(e0,e0)
| ~ spl75_33 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl75_33
<=> e3 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_33])]) ).
fof(f2030,plain,
( ~ spl75_37
| ~ spl75_212 ),
inference(avatar_contradiction_clause,[],[f2029]) ).
fof(f2029,plain,
( $false
| ~ spl75_37
| ~ spl75_212 ),
inference(subsumption_resolution,[],[f2028,f562]) ).
fof(f562,plain,
e3 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f2028,plain,
( e3 = e4
| ~ spl75_37
| ~ spl75_212 ),
inference(backward_demodulation,[],[f1639,f737]) ).
fof(f737,plain,
( e3 = op(e3,e0)
| ~ spl75_37 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl75_37
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_37])]) ).
fof(f1639,plain,
( e4 = op(e3,e0)
| ~ spl75_212 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1638,plain,
( spl75_212
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_212])]) ).
fof(f2014,plain,
( ~ spl75_67
| spl75_94
| ~ spl75_191
| ~ spl75_212 ),
inference(avatar_contradiction_clause,[],[f2013]) ).
fof(f2013,plain,
( $false
| ~ spl75_67
| spl75_94
| ~ spl75_191
| ~ spl75_212 ),
inference(subsumption_resolution,[],[f2012,f1639]) ).
fof(f2012,plain,
( e4 != op(e3,e0)
| ~ spl75_67
| spl75_94
| ~ spl75_191 ),
inference(forward_demodulation,[],[f2011,f877]) ).
fof(f877,plain,
( e3 = op(e1,e4)
| ~ spl75_67 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl75_67
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_67])]) ).
fof(f2011,plain,
( e4 != op(op(e1,e4),e0)
| spl75_94
| ~ spl75_191 ),
inference(forward_demodulation,[],[f993,f1465]) ).
fof(f1465,plain,
( e0 = op(e4,e1)
| ~ spl75_191 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1464,plain,
( spl75_191
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_191])]) ).
fof(f993,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl75_94 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl75_94
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_94])]) ).
fof(f2008,plain,
( ~ spl75_18
| spl75_144
| ~ spl75_174
| ~ spl75_187 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2007,plain,
( $false
| ~ spl75_18
| spl75_144
| ~ spl75_174
| ~ spl75_187 ),
inference(subsumption_resolution,[],[f2006,f1430]) ).
fof(f1430,plain,
( e3 = op(e2,e1)
| ~ spl75_187 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl75_187
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_187])]) ).
fof(f2006,plain,
( e3 != op(e2,e1)
| ~ spl75_18
| spl75_144
| ~ spl75_174 ),
inference(forward_demodulation,[],[f2005,f1356]) ).
fof(f1356,plain,
( e2 = op(e1,e3)
| ~ spl75_174 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl75_174
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_174])]) ).
fof(f2005,plain,
( e3 != op(op(e1,e3),e1)
| ~ spl75_18
| spl75_144 ),
inference(forward_demodulation,[],[f1193,f650]) ).
fof(f650,plain,
( e1 = op(e3,e1)
| ~ spl75_18 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f649,plain,
( spl75_18
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_18])]) ).
fof(f1193,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl75_144 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1191,plain,
( spl75_144
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_144])]) ).
fof(f2000,plain,
( spl75_139
| ~ spl75_149
| ~ spl75_153
| ~ spl75_211 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f1999,plain,
( $false
| spl75_139
| ~ spl75_149
| ~ spl75_153
| ~ spl75_211 ),
inference(subsumption_resolution,[],[f1998,f1219]) ).
fof(f1219,plain,
( e2 = op(e0,e1)
| ~ spl75_149 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl75_149
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_149])]) ).
fof(f1998,plain,
( e2 != op(e0,e1)
| spl75_139
| ~ spl75_153
| ~ spl75_211 ),
inference(forward_demodulation,[],[f1997,f1239]) ).
fof(f1239,plain,
( e0 = op(e0,e2)
| ~ spl75_153 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1238,plain,
( spl75_153
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_153])]) ).
fof(f1997,plain,
( e2 != op(op(e0,e2),e1)
| spl75_139
| ~ spl75_211 ),
inference(forward_demodulation,[],[f1173,f1618]) ).
fof(f1173,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl75_139 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1171,plain,
( spl75_139
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_139])]) ).
fof(f1996,plain,
( ~ spl75_18
| spl75_131
| ~ spl75_158
| ~ spl75_174 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f1995,plain,
( $false
| ~ spl75_18
| spl75_131
| ~ spl75_158
| ~ spl75_174 ),
inference(subsumption_resolution,[],[f1994,f1264]) ).
fof(f1264,plain,
( e1 = op(e1,e2)
| ~ spl75_158 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl75_158
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_158])]) ).
fof(f1994,plain,
( e1 != op(e1,e2)
| ~ spl75_18
| spl75_131
| ~ spl75_174 ),
inference(forward_demodulation,[],[f1993,f650]) ).
fof(f1993,plain,
( e1 != op(op(e3,e1),e2)
| spl75_131
| ~ spl75_174 ),
inference(forward_demodulation,[],[f1141,f1356]) ).
fof(f1141,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl75_131 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1139,plain,
( spl75_131
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_131])]) ).
fof(f1990,plain,
( spl75_126
| ~ spl75_153
| ~ spl75_167
| ~ spl75_211 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1989,plain,
( $false
| spl75_126
| ~ spl75_153
| ~ spl75_167
| ~ spl75_211 ),
inference(subsumption_resolution,[],[f1988,f1315]) ).
fof(f1988,plain,
( e0 != op(e1,e0)
| spl75_126
| ~ spl75_153
| ~ spl75_211 ),
inference(forward_demodulation,[],[f1987,f1618]) ).
fof(f1987,plain,
( e0 != op(op(e2,e0),e0)
| spl75_126
| ~ spl75_153 ),
inference(forward_demodulation,[],[f1121,f1239]) ).
fof(f1121,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl75_126 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1119,plain,
( spl75_126
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_126])]) ).
fof(f1983,plain,
( spl75_125
| ~ spl75_199
| ~ spl75_217
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1982,plain,
( $false
| spl75_125
| ~ spl75_199
| ~ spl75_217
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1981,f1519]) ).
fof(f1519,plain,
( e4 = op(e4,e2)
| ~ spl75_199 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1517,plain,
( spl75_199
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_199])]) ).
fof(f1981,plain,
( e4 != op(e4,e2)
| spl75_125
| ~ spl75_217
| ~ spl75_222 ),
inference(forward_demodulation,[],[f1980,f1752]) ).
fof(f1752,plain,
( e4 = op(e0,e4)
| ~ spl75_222 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1751,plain,
( spl75_222
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_222])]) ).
fof(f1980,plain,
( e4 != op(op(e0,e4),e2)
| spl75_125
| ~ spl75_217 ),
inference(forward_demodulation,[],[f1117,f1677]) ).
fof(f1117,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl75_125 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1115,plain,
( spl75_125
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_125])]) ).
fof(f1977,plain,
( ~ spl75_8
| ~ spl75_33
| spl75_124 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1976,plain,
( $false
| ~ spl75_8
| ~ spl75_33
| spl75_124 ),
inference(subsumption_resolution,[],[f1975,f719]) ).
fof(f1975,plain,
( e3 != op(e0,e0)
| ~ spl75_8
| spl75_124 ),
inference(forward_demodulation,[],[f1113,f605]) ).
fof(f605,plain,
( e0 = op(e3,e3)
| ~ spl75_8 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl75_8
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_8])]) ).
fof(f1113,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl75_124 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1111,plain,
( spl75_124
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_124])]) ).
fof(f1974,plain,
( ~ spl75_30
| ~ spl75_73
| spl75_122
| ~ spl75_161 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1973,plain,
( $false
| ~ spl75_30
| ~ spl75_73
| spl75_122
| ~ spl75_161 ),
inference(subsumption_resolution,[],[f1972,f904]) ).
fof(f904,plain,
( e2 = op(e3,e4)
| ~ spl75_73 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f903,plain,
( spl75_73
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_73])]) ).
fof(f1972,plain,
( e2 != op(e3,e4)
| ~ spl75_30
| spl75_122
| ~ spl75_161 ),
inference(forward_demodulation,[],[f1971,f705]) ).
fof(f705,plain,
( e3 = op(e3,e2)
| ~ spl75_30 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl75_30
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_30])]) ).
fof(f1971,plain,
( e2 != op(op(e3,e2),e4)
| spl75_122
| ~ spl75_161 ),
inference(forward_demodulation,[],[f1105,f1280]) ).
fof(f1280,plain,
( e4 = op(e2,e3)
| ~ spl75_161 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1279,plain,
( spl75_161
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_161])]) ).
fof(f1105,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl75_122 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1103,plain,
( spl75_122
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_122])]) ).
fof(f1968,plain,
( ~ spl75_73
| spl75_117
| ~ spl75_161
| ~ spl75_175 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| ~ spl75_73
| spl75_117
| ~ spl75_161
| ~ spl75_175 ),
inference(subsumption_resolution,[],[f1966,f1280]) ).
fof(f1966,plain,
( e4 != op(e2,e3)
| ~ spl75_73
| spl75_117
| ~ spl75_175 ),
inference(forward_demodulation,[],[f1965,f904]) ).
fof(f1965,plain,
( e4 != op(op(e3,e4),e3)
| spl75_117
| ~ spl75_175 ),
inference(forward_demodulation,[],[f1085,f1361]) ).
fof(f1361,plain,
( e3 = op(e4,e3)
| ~ spl75_175 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1360,plain,
( spl75_175
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_175])]) ).
fof(f1085,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl75_117 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1083,plain,
( spl75_117
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_117])]) ).
fof(f1962,plain,
( ~ spl75_67
| spl75_115
| ~ spl75_155
| ~ spl75_212 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| ~ spl75_67
| spl75_115
| ~ spl75_155
| ~ spl75_212 ),
inference(subsumption_resolution,[],[f1960,f877]) ).
fof(f1960,plain,
( e3 != op(e1,e4)
| spl75_115
| ~ spl75_155
| ~ spl75_212 ),
inference(forward_demodulation,[],[f1959,f1249]) ).
fof(f1249,plain,
( e1 = op(e0,e3)
| ~ spl75_155 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1248,plain,
( spl75_155
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_155])]) ).
fof(f1959,plain,
( e3 != op(op(e0,e3),e4)
| spl75_115
| ~ spl75_212 ),
inference(forward_demodulation,[],[f1077,f1639]) ).
fof(f1077,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl75_115 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1075,plain,
( spl75_115
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_115])]) ).
fof(f1954,plain,
( spl75_110
| ~ spl75_199
| ~ spl75_209
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1953]) ).
fof(f1953,plain,
( $false
| spl75_110
| ~ spl75_199
| ~ spl75_209
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1952,f1752]) ).
fof(f1952,plain,
( e4 != op(e0,e4)
| spl75_110
| ~ spl75_199
| ~ spl75_209 ),
inference(forward_demodulation,[],[f1951,f1588]) ).
fof(f1588,plain,
( e0 = op(e2,e4)
| ~ spl75_209 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1587,plain,
( spl75_209
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_209])]) ).
fof(f1951,plain,
( e4 != op(op(e2,e4),e4)
| spl75_110
| ~ spl75_199 ),
inference(forward_demodulation,[],[f1057,f1519]) ).
fof(f1057,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl75_110 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1055,plain,
( spl75_110
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_110])]) ).
fof(f1950,plain,
( ~ spl75_18
| spl75_108
| ~ spl75_158
| ~ spl75_187 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
fof(f1949,plain,
( $false
| ~ spl75_18
| spl75_108
| ~ spl75_158
| ~ spl75_187 ),
inference(subsumption_resolution,[],[f1948,f650]) ).
fof(f1948,plain,
( e1 != op(e3,e1)
| spl75_108
| ~ spl75_158
| ~ spl75_187 ),
inference(forward_demodulation,[],[f1947,f1430]) ).
fof(f1947,plain,
( e1 != op(op(e2,e1),e1)
| spl75_108
| ~ spl75_158 ),
inference(forward_demodulation,[],[f1049,f1264]) ).
fof(f1049,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl75_108 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl75_108
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_108])]) ).
fof(f1944,plain,
( spl75_107
| ~ spl75_181 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1943,plain,
( $false
| spl75_107
| ~ spl75_181 ),
inference(subsumption_resolution,[],[f1942,f1397]) ).
fof(f1397,plain,
( e2 = op(e2,e2)
| ~ spl75_181 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl75_181
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_181])]) ).
fof(f1942,plain,
( e2 != op(e2,e2)
| spl75_107
| ~ spl75_181 ),
inference(forward_demodulation,[],[f1045,f1397]) ).
fof(f1045,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl75_107 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl75_107
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_107])]) ).
fof(f1939,plain,
( ~ spl75_8
| ~ spl75_33
| spl75_106 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1938,plain,
( $false
| ~ spl75_8
| ~ spl75_33
| spl75_106 ),
inference(subsumption_resolution,[],[f1937,f605]) ).
fof(f1937,plain,
( e0 != op(e3,e3)
| ~ spl75_33
| spl75_106 ),
inference(forward_demodulation,[],[f1041,f719]) ).
fof(f1041,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl75_106 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl75_106
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_106])]) ).
fof(f1936,plain,
( spl75_105
| ~ spl75_155
| ~ spl75_191
| ~ spl75_212 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1935,plain,
( $false
| spl75_105
| ~ spl75_155
| ~ spl75_191
| ~ spl75_212 ),
inference(subsumption_resolution,[],[f1934,f1465]) ).
fof(f1934,plain,
( e0 != op(e4,e1)
| spl75_105
| ~ spl75_155
| ~ spl75_212 ),
inference(forward_demodulation,[],[f1933,f1639]) ).
fof(f1933,plain,
( e0 != op(op(e3,e0),e1)
| spl75_105
| ~ spl75_155 ),
inference(forward_demodulation,[],[f1037,f1249]) ).
fof(f1037,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl75_105 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1035,plain,
( spl75_105
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_105])]) ).
fof(f1930,plain,
( spl75_103
| ~ spl75_209
| ~ spl75_217
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1929,plain,
( $false
| spl75_103
| ~ spl75_209
| ~ spl75_217
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1928,f1588]) ).
fof(f1928,plain,
( e0 != op(e2,e4)
| spl75_103
| ~ spl75_217
| ~ spl75_222 ),
inference(backward_demodulation,[],[f1927,f1752]) ).
fof(f1927,plain,
( e0 != op(e2,op(e0,e4))
| spl75_103
| ~ spl75_217 ),
inference(backward_demodulation,[],[f1029,f1677]) ).
fof(f1029,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl75_103 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1027,plain,
( spl75_103
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_103])]) ).
fof(f1923,plain,
( ~ spl75_217
| spl75_101
| ~ spl75_199
| ~ spl75_209 ),
inference(avatar_split_clause,[],[f1922,f1587,f1517,f1019,f1676]) ).
fof(f1019,plain,
( spl75_101
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_101])]) ).
fof(f1922,plain,
( e2 != op(e4,e0)
| spl75_101
| ~ spl75_199
| ~ spl75_209 ),
inference(backward_demodulation,[],[f1921,f1588]) ).
fof(f1921,plain,
( e2 != op(e4,op(e2,e4))
| spl75_101
| ~ spl75_199 ),
inference(backward_demodulation,[],[f1021,f1519]) ).
fof(f1021,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl75_101 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1916,plain,
( spl75_97
| ~ spl75_149
| ~ spl75_153
| ~ spl75_167 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
fof(f1915,plain,
( $false
| spl75_97
| ~ spl75_149
| ~ spl75_153
| ~ spl75_167 ),
inference(subsumption_resolution,[],[f1914,f1239]) ).
fof(f1914,plain,
( e0 != op(e0,e2)
| spl75_97
| ~ spl75_149
| ~ spl75_167 ),
inference(forward_demodulation,[],[f1913,f1315]) ).
fof(f1913,plain,
( e0 != op(op(e1,e0),e2)
| spl75_97
| ~ spl75_149 ),
inference(forward_demodulation,[],[f1005,f1219]) ).
fof(f1005,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl75_97 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl75_97
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_97])]) ).
fof(f1912,plain,
( spl75_90
| ~ spl75_158
| ~ spl75_174
| ~ spl75_187 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1911,plain,
( $false
| spl75_90
| ~ spl75_158
| ~ spl75_174
| ~ spl75_187 ),
inference(subsumption_resolution,[],[f1910,f1356]) ).
fof(f1910,plain,
( e2 != op(e1,e3)
| spl75_90
| ~ spl75_158
| ~ spl75_187 ),
inference(forward_demodulation,[],[f1909,f1264]) ).
fof(f1909,plain,
( e2 != op(op(e1,e2),e3)
| spl75_90
| ~ spl75_187 ),
inference(forward_demodulation,[],[f977,f1430]) ).
fof(f977,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl75_90 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f975,plain,
( spl75_90
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_90])]) ).
fof(f1904,plain,
( ~ spl75_30
| spl75_89
| ~ spl75_161
| ~ spl75_175 ),
inference(avatar_contradiction_clause,[],[f1903]) ).
fof(f1903,plain,
( $false
| ~ spl75_30
| spl75_89
| ~ spl75_161
| ~ spl75_175 ),
inference(subsumption_resolution,[],[f1902,f1361]) ).
fof(f1902,plain,
( e3 != op(e4,e3)
| ~ spl75_30
| spl75_89
| ~ spl75_161 ),
inference(forward_demodulation,[],[f1901,f1280]) ).
fof(f1901,plain,
( e3 != op(op(e2,e3),e3)
| ~ spl75_30
| spl75_89 ),
inference(forward_demodulation,[],[f973,f705]) ).
fof(f973,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl75_89 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl75_89
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_89])]) ).
fof(f1900,plain,
( ~ spl75_30
| ~ spl75_73
| spl75_84
| ~ spl75_175 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
fof(f1899,plain,
( $false
| ~ spl75_30
| ~ spl75_73
| spl75_84
| ~ spl75_175 ),
inference(subsumption_resolution,[],[f1898,f705]) ).
fof(f1898,plain,
( e3 != op(e3,e2)
| ~ spl75_73
| spl75_84
| ~ spl75_175 ),
inference(forward_demodulation,[],[f1897,f1361]) ).
fof(f1897,plain,
( e3 != op(op(e4,e3),e2)
| ~ spl75_73
| spl75_84 ),
inference(forward_demodulation,[],[f953,f904]) ).
fof(f953,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl75_84 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl75_84
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_84])]) ).
fof(f1894,plain,
( ~ spl75_67
| spl75_82
| ~ spl75_155
| ~ spl75_191 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| ~ spl75_67
| spl75_82
| ~ spl75_155
| ~ spl75_191 ),
inference(subsumption_resolution,[],[f1892,f1249]) ).
fof(f1892,plain,
( e1 != op(e0,e3)
| ~ spl75_67
| spl75_82
| ~ spl75_191 ),
inference(backward_demodulation,[],[f1891,f1465]) ).
fof(f1891,plain,
( e1 != op(op(e4,e1),e3)
| ~ spl75_67
| spl75_82 ),
inference(forward_demodulation,[],[f945,f877]) ).
fof(f945,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl75_82 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f943,plain,
( spl75_82
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_82])]) ).
fof(f1889,plain,
( spl75_81
| ~ spl75_147
| ~ spl75_190 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| spl75_81
| ~ spl75_147
| ~ spl75_190 ),
inference(subsumption_resolution,[],[f1887,f1451]) ).
fof(f1451,plain,
( e4 = op(e1,e1)
| ~ spl75_190 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1450,plain,
( spl75_190
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_190])]) ).
fof(f1887,plain,
( e4 != op(e1,e1)
| spl75_81
| ~ spl75_147 ),
inference(forward_demodulation,[],[f941,f1207]) ).
fof(f1207,plain,
( e1 = op(e4,e4)
| ~ spl75_147 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl75_147
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_147])]) ).
fof(f941,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl75_81 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f939,plain,
( spl75_81
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_81])]) ).
fof(f1885,plain,
( spl75_78
| ~ spl75_147
| ~ spl75_190 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1884,plain,
( $false
| spl75_78
| ~ spl75_147
| ~ spl75_190 ),
inference(subsumption_resolution,[],[f1883,f1207]) ).
fof(f1883,plain,
( e1 != op(e4,e4)
| spl75_78
| ~ spl75_190 ),
inference(backward_demodulation,[],[f929,f1451]) ).
fof(f929,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl75_78 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl75_78
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_78])]) ).
fof(f1879,plain,
( ~ spl75_211
| spl75_114
| ~ spl75_149
| ~ spl75_167 ),
inference(avatar_split_clause,[],[f1878,f1314,f1218,f1071,f1617]) ).
fof(f1071,plain,
( spl75_114
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_114])]) ).
fof(f1878,plain,
( e1 != op(e2,e0)
| spl75_114
| ~ spl75_149
| ~ spl75_167 ),
inference(backward_demodulation,[],[f1877,f1315]) ).
fof(f1877,plain,
( e1 != op(e2,op(e1,e0))
| spl75_114
| ~ spl75_149 ),
inference(backward_demodulation,[],[f1073,f1219]) ).
fof(f1073,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl75_114 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1876,plain,
spl75_167,
inference(avatar_split_clause,[],[f560,f1314]) ).
fof(f560,plain,
e0 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e3 = op(e4,e3)
& e0 = op(e1,e0)
& e4 = op(e3,e0)
& e3 = op(e3,e2)
& e2 = op(e3,e4)
& e0 = op(e3,e3)
& e1 = op(e1,e2)
& e1 = op(e0,e3)
& e2 = op(e4,e0)
& e4 = op(e4,e2)
& e0 = op(e4,e1)
& e3 = op(e0,e0)
& e2 = op(e0,e1)
& e2 = op(e1,e3)
& e4 = op(e0,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1)
& e0 = op(e0,e2)
& e1 = op(e3,e1)
& e3 = op(e1,e4)
& e1 = op(e2,e0)
& e2 = op(e2,e2)
& e3 = op(e2,e1)
& e4 = op(e2,e3)
& e0 = op(e2,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1875,plain,
spl75_212,
inference(avatar_split_clause,[],[f559,f1638]) ).
fof(f559,plain,
e4 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1874,plain,
spl75_199,
inference(avatar_split_clause,[],[f552,f1517]) ).
fof(f552,plain,
e4 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1873,plain,
spl75_222,
inference(avatar_split_clause,[],[f547,f1751]) ).
fof(f547,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1872,plain,
spl75_190,
inference(avatar_split_clause,[],[f545,f1450]) ).
fof(f545,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1871,plain,
spl75_153,
inference(avatar_split_clause,[],[f544,f1238]) ).
fof(f544,plain,
e0 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1870,plain,
spl75_211,
inference(avatar_split_clause,[],[f541,f1617]) ).
fof(f541,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1869,plain,
spl75_181,
inference(avatar_split_clause,[],[f540,f1396]) ).
fof(f540,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1868,plain,
spl75_161,
inference(avatar_split_clause,[],[f538,f1279]) ).
fof(f538,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1867,plain,
spl75_209,
inference(avatar_split_clause,[],[f537,f1587]) ).
fof(f537,plain,
e0 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1861,plain,
( ~ spl75_92
| ~ spl75_175 ),
inference(avatar_split_clause,[],[f469,f1360,f983]) ).
fof(f983,plain,
( spl75_92
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_92])]) ).
fof(f469,plain,
( e3 != op(e4,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e0,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e0,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1844,plain,
( ~ spl75_67
| ~ spl75_36 ),
inference(avatar_split_clause,[],[f316,f731,f876]) ).
fof(f731,plain,
( spl75_36
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_36])]) ).
fof(f316,plain,
( ~ sP43
| e3 != op(e1,e4) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e0,e4) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e0,e4) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f1840,plain,
( ~ spl75_116
| ~ spl75_155 ),
inference(avatar_split_clause,[],[f411,f1248,f1079]) ).
fof(f1079,plain,
( spl75_116
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_116])]) ).
fof(f411,plain,
( e1 != op(e0,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e1) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e1) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1839,plain,
( ~ spl75_211
| ~ spl75_50 ),
inference(avatar_split_clause,[],[f294,f796,f1617]) ).
fof(f796,plain,
( spl75_50
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_50])]) ).
fof(f294,plain,
( ~ sP47
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e3 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e3 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f1835,plain,
spl75_191,
inference(avatar_split_clause,[],[f551,f1464]) ).
fof(f551,plain,
e0 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1817,plain,
( ~ spl75_212
| ~ spl75_95 ),
inference(avatar_split_clause,[],[f436,f995,f1638]) ).
fof(f995,plain,
( spl75_95
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_95])]) ).
fof(f436,plain,
( ~ sP19
| e4 != op(e3,e0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e4 != op(e3,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e4 != op(e3,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1816,plain,
( ~ spl75_130
| ~ spl75_222 ),
inference(avatar_split_clause,[],[f282,f1751,f1135]) ).
fof(f1135,plain,
( spl75_130
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_130])]) ).
fof(f282,plain,
( e4 != op(e0,e4)
| ~ sP49 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f1813,plain,
( ~ spl75_127
| ~ spl75_30 ),
inference(avatar_split_clause,[],[f428,f704,f1123]) ).
fof(f1123,plain,
( spl75_127
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_127])]) ).
fof(f428,plain,
( e3 != op(e3,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e4 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e4 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1812,plain,
spl75_30,
inference(avatar_split_clause,[],[f558,f704]) ).
fof(f558,plain,
e3 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1809,plain,
( ~ spl75_181
| ~ spl75_3 ),
inference(avatar_split_clause,[],[f510,f582,f1396]) ).
fof(f582,plain,
( spl75_3
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_3])]) ).
fof(f510,plain,
( ~ sP4
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1789,plain,
( ~ spl75_140
| ~ spl75_149 ),
inference(avatar_split_clause,[],[f193,f1218,f1175]) ).
fof(f1175,plain,
( spl75_140
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_140])]) ).
fof(f193,plain,
( e2 != op(e0,e1)
| ~ sP67 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f1783,plain,
( ~ spl75_217
| ~ spl75_120 ),
inference(avatar_split_clause,[],[f451,f1095,f1676]) ).
fof(f1095,plain,
( spl75_120
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_120])]) ).
fof(f451,plain,
( ~ sP16
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1779,plain,
( ~ spl75_30
| ~ spl75_16 ),
inference(avatar_split_clause,[],[f512,f640,f704]) ).
fof(f640,plain,
( spl75_16
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_16])]) ).
fof(f512,plain,
( ~ sP3
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e3 != op(e4,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e3,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e3 != op(e4,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e3,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1777,plain,
( ~ spl75_149
| ~ spl75_77 ),
inference(avatar_split_clause,[],[f301,f922,f1218]) ).
fof(f922,plain,
( spl75_77
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_77])]) ).
fof(f301,plain,
( ~ sP46
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f1768,plain,
spl75_217,
inference(avatar_split_clause,[],[f553,f1676]) ).
fof(f553,plain,
e2 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1758,plain,
( ~ spl75_222
| ~ spl75_138 ),
inference(avatar_split_clause,[],[f528,f1167,f1751]) ).
fof(f1167,plain,
( spl75_138
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_138])]) ).
fof(f528,plain,
( ~ sP0
| e4 != op(e0,e4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1756,plain,
spl75_18,
inference(avatar_split_clause,[],[f543,f649]) ).
fof(f543,plain,
e1 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1754,plain,
( ~ spl75_222
| ~ spl75_129 ),
inference(avatar_split_clause,[],[f219,f1131,f1751]) ).
fof(f1131,plain,
( spl75_129
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_129])]) ).
fof(f219,plain,
( ~ sP62
| e4 != op(e0,e4) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f1747,plain,
( ~ spl75_8
| ~ spl75_88 ),
inference(avatar_split_clause,[],[f384,f967,f604]) ).
fof(f967,plain,
( spl75_88
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_88])]) ).
fof(f384,plain,
( ~ sP29
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1745,plain,
( ~ spl75_85
| ~ spl75_199 ),
inference(avatar_split_clause,[],[f503,f1517,f955]) ).
fof(f955,plain,
( spl75_85
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_85])]) ).
fof(f503,plain,
( e4 != op(e4,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e1 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e1 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1737,plain,
( ~ spl75_137
| ~ spl75_212 ),
inference(avatar_split_clause,[],[f226,f1638,f1163]) ).
fof(f1163,plain,
( spl75_137
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_137])]) ).
fof(f226,plain,
( e4 != op(e3,e0)
| ~ sP61 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e4 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e4 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f1736,plain,
spl75_187,
inference(avatar_split_clause,[],[f539,f1429]) ).
fof(f539,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1735,plain,
( ~ spl75_190
| ~ spl75_14 ),
inference(avatar_split_clause,[],[f352,f631,f1450]) ).
fof(f631,plain,
( spl75_14
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_14])]) ).
fof(f352,plain,
( ~ sP35
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e0 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1729,plain,
( ~ spl75_96
| ~ spl75_175 ),
inference(avatar_split_clause,[],[f260,f1360,f999]) ).
fof(f999,plain,
( spl75_96
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_96])]) ).
fof(f260,plain,
( e3 != op(e4,e3)
| ~ sP54 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f1721,plain,
( ~ spl75_217
| ~ spl75_128 ),
inference(avatar_split_clause,[],[f171,f1127,f1676]) ).
fof(f1127,plain,
( spl75_128
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_128])]) ).
fof(f171,plain,
( ~ sP72
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f1717,plain,
( ~ spl75_61
| ~ spl75_211 ),
inference(avatar_split_clause,[],[f256,f1617,f848]) ).
fof(f848,plain,
( spl75_61
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_61])]) ).
fof(f256,plain,
( e1 != op(e2,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e1 != op(e2,e0)
& e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e3,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e1 != op(e2,e0)
& e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e3,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f1714,plain,
( ~ spl75_100
| ~ spl75_190 ),
inference(avatar_split_clause,[],[f249,f1450,f1015]) ).
fof(f1015,plain,
( spl75_100
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_100])]) ).
fof(f249,plain,
( e4 != op(e1,e1)
| ~ sP56 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1)
& e4 != op(e2,e1) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1)
& e4 != op(e2,e1) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f1712,plain,
( ~ spl75_80
| ~ spl75_181 ),
inference(avatar_split_clause,[],[f229,f1396,f935]) ).
fof(f935,plain,
( spl75_80
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_80])]) ).
fof(f229,plain,
( e2 != op(e2,e2)
| ~ sP60 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e1 != op(e2,e2)
& e4 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e1 != op(e2,e2)
& e4 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f1708,plain,
spl75_175,
inference(avatar_split_clause,[],[f561,f1360]) ).
fof(f561,plain,
e3 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1706,plain,
( ~ spl75_12
| ~ spl75_33 ),
inference(avatar_split_clause,[],[f337,f718,f622]) ).
fof(f622,plain,
( spl75_12
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_12])]) ).
fof(f337,plain,
( e3 != op(e0,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0)
& e3 != op(e0,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0)
& e3 != op(e0,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1704,plain,
( ~ spl75_73
| ~ spl75_145 ),
inference(avatar_split_clause,[],[f526,f1195,f903]) ).
fof(f1195,plain,
( spl75_145
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_145])]) ).
fof(f526,plain,
( ~ sP1
| e2 != op(e3,e4) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e2 != op(e3,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( e2 != op(e3,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1696,plain,
( ~ spl75_33
| ~ spl75_31 ),
inference(avatar_split_clause,[],[f303,f709,f718]) ).
fof(f709,plain,
( spl75_31
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_31])]) ).
fof(f303,plain,
( ~ sP45
| e3 != op(e0,e0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f1687,plain,
( ~ spl75_209
| ~ spl75_134 ),
inference(avatar_split_clause,[],[f417,f1151,f1587]) ).
fof(f1151,plain,
( spl75_134
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_134])]) ).
fof(f417,plain,
( ~ sP22
| e0 != op(e2,e4) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e0 != op(e1,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e0 != op(e1,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1682,plain,
( ~ spl75_153
| ~ spl75_142 ),
inference(avatar_split_clause,[],[f368,f1183,f1238]) ).
fof(f1183,plain,
( spl75_142
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_142])]) ).
fof(f368,plain,
( ~ sP32
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1679,plain,
( ~ spl75_217
| ~ spl75_46 ),
inference(avatar_split_clause,[],[f478,f778,f1676]) ).
fof(f778,plain,
( spl75_46
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_46])]) ).
fof(f478,plain,
( ~ sP10
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1661,plain,
( ~ spl75_161
| ~ spl75_119 ),
inference(avatar_split_clause,[],[f402,f1091,f1279]) ).
fof(f1091,plain,
( spl75_119
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_119])]) ).
fof(f402,plain,
( ~ sP25
| e4 != op(e2,e3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f1659,plain,
spl75_149,
inference(avatar_split_clause,[],[f549,f1218]) ).
fof(f549,plain,
e2 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1653,plain,
( ~ spl75_74
| ~ spl75_67 ),
inference(avatar_split_clause,[],[f263,f876,f908]) ).
fof(f908,plain,
( spl75_74
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_74])]) ).
fof(f263,plain,
( e3 != op(e1,e4)
| ~ sP53 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f1651,plain,
( ~ spl75_174
| ~ spl75_6 ),
inference(avatar_split_clause,[],[f246,f595,f1355]) ).
fof(f595,plain,
( spl75_6
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_6])]) ).
fof(f246,plain,
( ~ sP57
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f1650,plain,
( ~ spl75_104
| ~ spl75_174 ),
inference(avatar_split_clause,[],[f416,f1355,f1031]) ).
fof(f1031,plain,
( spl75_104
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_104])]) ).
fof(f416,plain,
( e2 != op(e1,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1641,plain,
( ~ spl75_212
| ~ spl75_98 ),
inference(avatar_split_clause,[],[f327,f1007,f1638]) ).
fof(f1007,plain,
( spl75_98
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_98])]) ).
fof(f327,plain,
( ~ sP40
| e4 != op(e3,e0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f1634,plain,
spl75_67,
inference(avatar_split_clause,[],[f542,f876]) ).
fof(f542,plain,
e3 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1628,plain,
spl75_158,
inference(avatar_split_clause,[],[f555,f1263]) ).
fof(f555,plain,
e1 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1625,plain,
( ~ spl75_42
| ~ spl75_209 ),
inference(avatar_split_clause,[],[f164,f1587,f759]) ).
fof(f759,plain,
( spl75_42
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_42])]) ).
fof(f164,plain,
( e0 != op(e2,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e4 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e4 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1624,plain,
( spl75_128
| spl75_85
| ~ spl75_106
| spl75_143
| spl75_54
| spl75_74
| spl75_28
| spl75_100
| spl75_46
| spl75_24
| spl75_96
| spl75_142
| spl75_121
| spl75_98
| ~ spl75_139
| spl75_61
| spl75_129
| ~ spl75_97
| spl75_55
| spl75_119
| spl75_52
| spl75_99
| spl75_137
| spl75_17
| spl75_111
| spl75_9
| ~ spl75_101
| spl75_21
| ~ spl75_78
| spl75_34
| ~ spl75_82
| spl75_2
| spl75_6
| spl75_86
| spl75_36
| ~ spl75_107
| spl75_132
| spl75_120
| spl75_113
| spl75_112
| spl75_66
| ~ spl75_126
| spl75_69
| spl75_93
| spl75_127
| ~ spl75_114
| spl75_12
| spl75_92
| spl75_14
| spl75_83
| spl75_27
| ~ spl75_117
| ~ spl75_124
| ~ spl75_84
| spl75_50
| ~ spl75_105
| spl75_70
| spl75_116
| ~ spl75_144
| ~ spl75_103
| spl75_138
| spl75_7
| spl75_3
| ~ spl75_89
| spl75_16
| spl75_87
| spl75_133
| spl75_80
| spl75_48
| spl75_102
| spl75_140
| spl75_109
| spl75_104
| spl75_130
| ~ spl75_108
| ~ spl75_110
| ~ spl75_90
| spl75_118
| spl75_72
| spl75_88
| spl75_79
| spl75_135
| ~ spl75_115
| spl75_134
| spl75_31
| ~ spl75_81
| spl75_60
| spl75_20
| ~ spl75_199
| ~ spl75_94
| spl75_145
| spl75_136
| spl75_141
| ~ spl75_131
| spl75_123
| spl75_42
| ~ spl75_122
| spl75_40
| spl75_77
| ~ spl75_125
| spl75_95 ),
inference(avatar_split_clause,[],[f536,f995,f1115,f922,f750,f1103,f759,f1107,f1139,f1179,f1159,f1195,f991,f1517,f658,f843,f939,f709,f1151,f1075,f1155,f931,f967,f899,f1087,f975,f1055,f1047,f1135,f1031,f1051,f1175,f1023,f787,f935,f1147,f963,f640,f971,f582,f600,f1167,f1027,f1191,f1079,f890,f1035,f796,f951,f1111,f1083,f690,f947,f631,f983,f622,f1071,f1123,f987,f885,f1119,f872,f1063,f1067,f1095,f1143,f1043,f731,f959,f595,f577,f943,f722,f927,f663,f1019,f609,f1059,f645,f1163,f1011,f805,f1091,f819,f1003,f1131,f848,f1171,f1007,f1099,f1183,f999,f676,f778,f1015,f695,f908,f814,f1187,f1039,f955,f1127]) ).
fof(f1187,plain,
( spl75_143
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_143])]) ).
fof(f814,plain,
( spl75_54
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_54])]) ).
fof(f695,plain,
( spl75_28
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_28])]) ).
fof(f676,plain,
( spl75_24
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_24])]) ).
fof(f1099,plain,
( spl75_121
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_121])]) ).
fof(f819,plain,
( spl75_55
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_55])]) ).
fof(f805,plain,
( spl75_52
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_52])]) ).
fof(f1011,plain,
( spl75_99
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_99])]) ).
fof(f645,plain,
( spl75_17
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_17])]) ).
fof(f1059,plain,
( spl75_111
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_111])]) ).
fof(f609,plain,
( spl75_9
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_9])]) ).
fof(f663,plain,
( spl75_21
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_21])]) ).
fof(f722,plain,
( spl75_34
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_34])]) ).
fof(f577,plain,
( spl75_2
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_2])]) ).
fof(f959,plain,
( spl75_86
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_86])]) ).
fof(f1143,plain,
( spl75_132
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_132])]) ).
fof(f1067,plain,
( spl75_113
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_113])]) ).
fof(f1063,plain,
( spl75_112
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_112])]) ).
fof(f872,plain,
( spl75_66
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_66])]) ).
fof(f885,plain,
( spl75_69
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_69])]) ).
fof(f987,plain,
( spl75_93
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_93])]) ).
fof(f947,plain,
( spl75_83
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_83])]) ).
fof(f690,plain,
( spl75_27
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_27])]) ).
fof(f890,plain,
( spl75_70
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_70])]) ).
fof(f600,plain,
( spl75_7
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_7])]) ).
fof(f963,plain,
( spl75_87
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_87])]) ).
fof(f1147,plain,
( spl75_133
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_133])]) ).
fof(f787,plain,
( spl75_48
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_48])]) ).
fof(f1023,plain,
( spl75_102
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_102])]) ).
fof(f1051,plain,
( spl75_109
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_109])]) ).
fof(f1087,plain,
( spl75_118
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_118])]) ).
fof(f899,plain,
( spl75_72
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_72])]) ).
fof(f931,plain,
( spl75_79
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_79])]) ).
fof(f1155,plain,
( spl75_135
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_135])]) ).
fof(f843,plain,
( spl75_60
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_60])]) ).
fof(f658,plain,
( spl75_20
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_20])]) ).
fof(f1159,plain,
( spl75_136
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_136])]) ).
fof(f1179,plain,
( spl75_141
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_141])]) ).
fof(f1107,plain,
( spl75_123
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_123])]) ).
fof(f750,plain,
( spl75_40
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_40])]) ).
fof(f536,plain,
( sP19
| e4 != op(op(e0,e4),op(e4,e0))
| sP46
| sP39
| e2 != op(op(e3,e2),op(e2,e3))
| sP73
| sP15
| e1 != op(op(e3,e1),op(e1,e3))
| sP6
| sP21
| sP1
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(e4,e2)
| sP70
| sP13
| e4 != op(op(e4,e4),op(e4,e4))
| sP45
| sP22
| e3 != op(op(e0,e3),op(e3,e0))
| sP34
| sP74
| sP29
| sP64
| sP71
| e2 != op(op(e1,e2),op(e2,e1))
| e4 != op(op(e2,e4),op(e4,e2))
| e1 != op(op(e2,e1),op(e1,e2))
| sP49
| sP23
| sP51
| sP67
| sP44
| sP52
| sP60
| sP63
| sP17
| sP3
| e3 != op(op(e2,e3),op(e3,e2))
| sP4
| sP42
| sP0
| e0 != op(op(e4,e0),op(e0,e4))
| e3 != op(op(e1,e3),op(e3,e1))
| sP24
| sP58
| e0 != op(op(e3,e0),op(e0,e3))
| sP47
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e4 != op(op(e3,e4),op(e4,e3))
| sP7
| sP66
| sP35
| sP12
| sP38
| e1 != op(op(e0,e1),op(e1,e0))
| sP20
| sP31
| sP36
| e0 != op(op(e2,e0),op(e0,e2))
| sP26
| sP9
| sP59
| sP16
| sP11
| e2 != op(op(e2,e2),op(e2,e2))
| sP43
| sP30
| sP57
| sP8
| e1 != op(op(e4,e1),op(e1,e4))
| sP50
| e1 != op(op(e1,e1),op(e1,e1))
| sP28
| e2 != op(op(e4,e2),op(e2,e4))
| sP37
| sP41
| sP68
| sP61
| sP27
| sP33
| sP25
| sP14
| e0 != op(op(e1,e0),op(e0,e1))
| sP62
| sP55
| e2 != op(op(e0,e2),op(e2,e0))
| sP40
| sP2
| sP32
| sP54
| sP65
| sP10
| sP56
| sP69
| sP53
| sP18
| sP48
| e0 != op(op(e0,e0),op(e0,e0))
| sP5
| sP72 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e4)
& e4 != op(e4,e1)
& e4 != op(e4,e3)
& e4 != op(e4,e0) )
| sP74
| sP73
| e3 != op(op(e0,e3),op(e3,e0))
| sP72
| sP71
| e3 != op(op(e3,e3),op(e3,e3))
| sP70
| e2 != op(op(e0,e2),op(e2,e0))
| sP69
| sP68
| sP67
| e1 != op(op(e2,e1),op(e1,e2))
| sP66
| sP65
| sP64
| sP63
| sP62
| e4 != op(op(e0,e4),op(e4,e0))
| sP61
| sP60
| e3 != op(op(e4,e3),op(e3,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e3 != op(op(e1,e3),op(e3,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| sP59
| sP58
| e0 != op(op(e2,e0),op(e0,e2))
| sP57
| sP56
| sP55
| e1 != op(op(e0,e1),op(e1,e0))
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| e2 != op(op(e4,e2),op(e2,e4))
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| e3 != op(op(e2,e3),op(e3,e2))
| sP42
| sP41
| e4 != op(op(e3,e4),op(e4,e3))
| sP40
| sP39
| e0 != op(op(e3,e0),op(e0,e3))
| e4 != op(op(e4,e4),op(e4,e4))
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| e2 != op(op(e2,e2),op(e2,e2))
| e4 != op(op(e2,e4),op(e4,e2))
| sP28
| sP27
| sP26
| e0 != op(op(e4,e0),op(e0,e4))
| sP25
| e4 != op(op(e1,e4),op(e4,e1))
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| e1 != op(op(e4,e1),op(e1,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| sP18
| sP17
| sP16
| sP15
| e2 != op(op(e1,e2),op(e2,e1))
| e1 != op(op(e1,e1),op(e1,e1))
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| e0 != op(op(e1,e0),op(e0,e1))
| sP1
| sP0 ),
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(f8,plain,
( ( e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f13,plain,
( ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f14,plain,
( ( e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f15,plain,
( ( e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e3 != op(e4,e3)
& e4 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ( e0 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f20,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e4) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f21,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f24,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e0,e4) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e2) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f33,plain,
( ( e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f34,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
( ( e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0)
& e0 != op(e3,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f37,plain,
( ( e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e1,e3) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f40,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e4)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ( e0 != op(e2,e3)
& e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f43,plain,
( ( e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e3) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e4) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e4)
& e1 != op(e4,e2) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f48,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3)
& e4 != op(e3,e3)
& e1 != op(e3,e3) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f50,plain,
( ( ( e2 = op(e2,e2)
| e4 = op(e4,e2)
| e3 = op(e3,e2)
| e0 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e3)
| e4 = op(e4,e3)
| e2 = op(e2,e3)
| e0 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e1 = op(e1,e1)
| e2 = op(e2,e1)
| e3 = op(e3,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e0)
| e3 = op(e3,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e0)
| e2 = op(e2,e0) )
& ( e3 = op(e3,e4)
| e2 = op(e2,e4)
| e0 = op(e0,e4)
| e4 = op(e4,e4)
| e1 = op(e1,e4) ) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f54,plain,
( ( e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f56,plain,
( ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f57,plain,
( ( e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e4 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f58,plain,
( ( e4 != op(e1,e3)
& e4 != op(e1,e1)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
( ( e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f65,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e3) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f69,plain,
( ( e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f70,plain,
( ( e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e4) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f71,plain,
( ( e4 != op(e4,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f72,plain,
( ( e1 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f74,plain,
( ( e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f75,plain,
( ( e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e4,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f76,plain,
( ( e0 != op(e4,e1)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f77,plain,
( ( e0 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f80,plain,
( ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f5,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e4)
& e4 != op(e4,e1)
& e4 != op(e4,e3)
& e4 != op(e4,e0) )
| ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| ( e4 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| e3 != op(op(e0,e3),op(e3,e0))
| ( e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3) )
| ( e0 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1) )
| e3 != op(op(e3,e3),op(e3,e3))
| ( e0 != op(e4,e1)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0) )
| e2 != op(op(e0,e2),op(e2,e0))
| ( e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e4,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ( e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1) )
| ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1) )
| e1 != op(op(e2,e1),op(e1,e2))
| ( e1 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4) )
| ( e4 != op(e4,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ( e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e4) )
| ( e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2) )
| ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1) )
| e4 != op(op(e0,e4),op(e4,e0))
| ( e4 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e1 != op(e3,e0) )
| ( e1 != op(e2,e2)
& e4 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2) )
| e3 != op(op(e4,e3),op(e3,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e3 != op(op(e1,e3),op(e3,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e3) )
| ( e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| e0 != op(op(e2,e0),op(e0,e2))
| ( e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3) )
| ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1)
& e4 != op(e2,e1) )
| ( e1 != op(e2,e0)
& e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e3,e0) )
| e1 != op(op(e0,e1),op(e1,e0))
| ( e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| ( e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4) )
| ( e4 != op(e1,e3)
& e4 != op(e1,e1)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e2) )
| ( e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e4 != op(e4,e4)
& e3 != op(e4,e4) )
| ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| ( e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| e2 != op(op(e4,e2),op(e2,e4))
| ( e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1) )
| ( e3 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e2 != op(e2,e0) )
| ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4) )
| ( ( e2 = op(e2,e2)
| e4 = op(e4,e2)
| e3 = op(e3,e2)
| e0 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e3)
| e4 = op(e4,e3)
| e2 = op(e2,e3)
| e0 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e1 = op(e1,e1)
| e2 = op(e2,e1)
| e3 = op(e3,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e0)
| e3 = op(e3,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e0)
| e2 = op(e2,e0) )
& ( e3 = op(e3,e4)
| e2 = op(e2,e4)
| e0 = op(e0,e4)
| e4 = op(e4,e4)
| e1 = op(e1,e4) ) )
| ( e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e0,e4) )
| e3 != op(op(e2,e3),op(e3,e2))
| ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3)
& e4 != op(e3,e3)
& e1 != op(e3,e3) )
| ( e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e4)
& e1 != op(e4,e2) )
| e4 != op(op(e3,e4),op(e4,e3))
| ( e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e4) )
| e0 != op(op(e3,e0),op(e0,e3))
| e4 != op(op(e4,e4),op(e4,e4))
| ( e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0)
& e3 != op(e0,e0) )
| ( e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e3) )
| ( e0 != op(e2,e3)
& e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| ( e0 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e4 != op(e1,e1) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e4)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ( e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ( e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e1,e3) )
| ( e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0)
& e0 != op(e3,e0) )
| ( e0 != op(e3,e4)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| e2 != op(op(e2,e2),op(e2,e2))
| e4 != op(op(e2,e4),op(e4,e2))
| ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2) )
| ( e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e2) )
| e0 != op(op(e4,e0),op(e0,e4))
| ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3) )
| e4 != op(op(e1,e4),op(e4,e1))
| ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e1) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ( e0 != op(e1,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ( e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e0,e4) )
| ( e4 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2) )
| ( e4 != op(e3,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0) )
| e1 != op(op(e4,e1),op(e1,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| ( e1 != op(e3,e3)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ( e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2) )
| ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0) )
| ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| e2 != op(op(e1,e2),op(e2,e1))
| e1 != op(op(e1,e1),op(e1,e1))
| ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e4) )
| ( e0 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e4,e3)
& e4 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3) )
| ( e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0) )
| ( e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3) )
| ( e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1) )
| ( e1 != op(e1,e4)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e0) )
| ( e1 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2) )
| ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4) )
| ( e3 != op(e4,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e3,e2) )
| ( e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2) )
| e0 != op(op(e1,e0),op(e0,e1))
| ( e2 != op(e3,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ( e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ( e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& e0 = op(op(e2,e0),op(e0,e2))
& e3 = op(op(e3,e3),op(e3,e3))
& ( e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3) )
& ( e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& e1 = op(op(e0,e1),op(e1,e0))
& ( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) )
& ( e2 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e1 = op(e2,e4)
| e3 = op(e2,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1) )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e4,e1) )
& ( e3 = op(e3,e4)
| e3 = op(e1,e4)
| e3 = op(e4,e4)
| e3 = op(e2,e4)
| e3 = op(e0,e4) )
& e3 = op(op(e1,e3),op(e3,e1))
& ( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e2) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e4) )
& ( e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) )
& ( e0 = op(e0,e2)
| e4 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e4)
| e2 = op(e0,e0) )
& e3 = op(op(e4,e3),op(e3,e4))
& ( e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2)
| e4 = op(e2,e2)
| e3 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3) )
& e3 = op(op(e2,e3),op(e3,e2))
& ( e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| e2 = op(e1,e3) )
& ( e2 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e0,e0)
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0) )
& ( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3)
| e4 = op(e0,e3) )
& ( e0 = op(e1,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e0,e4) )
& e4 = op(op(e2,e4),op(e4,e2))
& ( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| e1 = op(e2,e4)
| e1 = op(e2,e2) )
& ( ( e0 != op(e0,e1)
& e1 != op(e1,e1)
& e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1) )
| ( e1 != op(e1,e4)
& e0 != op(e0,e4)
& e4 != op(e4,e4)
& e2 != op(e2,e4)
& e3 != op(e3,e4) )
| ( e1 != op(e1,e2)
& e2 != op(e2,e2)
& e3 != op(e3,e2)
& e0 != op(e0,e2)
& e4 != op(e4,e2) )
| ( e3 != op(e3,e3)
& e0 != op(e0,e3)
& e2 != op(e2,e3)
& e4 != op(e4,e3)
& e1 != op(e1,e3) )
| ( e1 != op(e1,e0)
& e3 != op(e3,e0)
& e4 != op(e4,e0)
& e2 != op(e2,e0)
& e0 != op(e0,e0) ) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e0 = op(e4,e4)
| e1 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4) )
& ( e2 = op(e4,e0)
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e0,e0)
| e2 = op(e3,e0) )
& ( e0 = op(e0,e0)
| e2 = op(e0,e0)
| e3 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e1 = op(e1,e3)
| e4 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e4)
| e1 = op(e3,e3) )
& e3 = op(op(e0,e3),op(e3,e0))
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e2 = op(e4,e2)
| e0 = op(e4,e2)
| e4 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2) )
& ( e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1) )
& e2 = op(op(e3,e2),op(e2,e3))
& ( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0)
| e2 = op(e4,e0) )
& ( e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 = op(e0,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0) )
& e0 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e1,e1),op(e1,e1))
& ( e1 = op(e2,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e0)
| e4 = op(e3,e4)
| e4 = op(e3,e2) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e0)
| e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e4 = op(e2,e0)
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| e4 = op(e2,e3)
| e4 = op(e2,e2) )
& e1 = op(op(e2,e1),op(e1,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e4,e0),op(e0,e4))
& ( e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e0)
| e0 = op(e3,e1) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4)
| e4 = op(e0,e4) )
& ( e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& e4 = op(op(e0,e4),op(e4,e0))
& ( e2 = op(e1,e1)
| e0 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e3,e2)
| e0 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4) )
& e2 = op(op(e0,e2),op(e2,e0))
& ( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e2) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e4,e2) )
& e2 = op(op(e1,e2),op(e2,e1))
& e1 = op(op(e3,e1),op(e1,e3))
& ( e3 = op(e0,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3) )
& e0 = op(op(e3,e0),op(e0,e3))
& ( e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& e4 = op(op(e4,e4),op(e4,e4))
& e1 = op(op(e4,e1),op(e1,e4))
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e4)
| e0 = op(e2,e2)
| e0 = op(e2,e1) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e2,e2) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e2) )
& e4 = op(op(e3,e4),op(e4,e3))
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e4 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e4)
| e4 = op(e0,e1) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e3) )
& e4 = op(op(e1,e4),op(e4,e1))
& ( e3 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e4 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e2,e0)
| e4 = op(e3,e0)
| e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0) )
& e2 = op(op(e4,e2),op(e2,e4))
& ( e3 = op(e4,e1)
| e4 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e4) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ( e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& e0 = op(op(e2,e0),op(e0,e2))
& e3 = op(op(e3,e3),op(e3,e3))
& ( e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3) )
& ( e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& e1 = op(op(e0,e1),op(e1,e0))
& ( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) )
& ( e2 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e1 = op(e2,e4)
| e3 = op(e2,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1) )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e4,e1) )
& ( e3 = op(e3,e4)
| e3 = op(e1,e4)
| e3 = op(e4,e4)
| e3 = op(e2,e4)
| e3 = op(e0,e4) )
& e3 = op(op(e1,e3),op(e3,e1))
& ( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e2) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e4) )
& ( e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) )
& ( e0 = op(e0,e2)
| e4 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e4)
| e2 = op(e0,e0) )
& e3 = op(op(e4,e3),op(e3,e4))
& ( e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2)
| e4 = op(e2,e2)
| e3 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3) )
& e3 = op(op(e2,e3),op(e3,e2))
& ( e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| e2 = op(e1,e3) )
& ( e2 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e0,e0)
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0) )
& ( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3)
| e4 = op(e0,e3) )
& ( e0 = op(e1,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e0,e4) )
& e4 = op(op(e2,e4),op(e4,e2))
& ( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| e1 = op(e2,e4)
| e1 = op(e2,e2) )
& ( ( e0 != op(e0,e1)
& e1 != op(e1,e1)
& e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1) )
| ( e1 != op(e1,e4)
& e0 != op(e0,e4)
& e4 != op(e4,e4)
& e2 != op(e2,e4)
& e3 != op(e3,e4) )
| ( e1 != op(e1,e2)
& e2 != op(e2,e2)
& e3 != op(e3,e2)
& e0 != op(e0,e2)
& e4 != op(e4,e2) )
| ( e3 != op(e3,e3)
& e0 != op(e0,e3)
& e2 != op(e2,e3)
& e4 != op(e4,e3)
& e1 != op(e1,e3) )
| ( e1 != op(e1,e0)
& e3 != op(e3,e0)
& e4 != op(e4,e0)
& e2 != op(e2,e0)
& e0 != op(e0,e0) ) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e0 = op(e4,e4)
| e1 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4) )
& ( e2 = op(e4,e0)
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e0,e0)
| e2 = op(e3,e0) )
& ( e0 = op(e0,e0)
| e2 = op(e0,e0)
| e3 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e1 = op(e1,e3)
| e4 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e4)
| e1 = op(e3,e3) )
& e3 = op(op(e0,e3),op(e3,e0))
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e2 = op(e4,e2)
| e0 = op(e4,e2)
| e4 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2) )
& ( e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1) )
& e2 = op(op(e3,e2),op(e2,e3))
& ( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0)
| e2 = op(e4,e0) )
& ( e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 = op(e0,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0) )
& e0 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e1,e1),op(e1,e1))
& ( e1 = op(e2,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e0)
| e4 = op(e3,e4)
| e4 = op(e3,e2) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e0)
| e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e4 = op(e2,e0)
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| e4 = op(e2,e3)
| e4 = op(e2,e2) )
& e1 = op(op(e2,e1),op(e1,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e4,e0),op(e0,e4))
& ( e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e0)
| e0 = op(e3,e1) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4)
| e4 = op(e0,e4) )
& ( e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& e4 = op(op(e0,e4),op(e4,e0))
& ( e2 = op(e1,e1)
| e0 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e3,e2)
| e0 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4) )
& e2 = op(op(e0,e2),op(e2,e0))
& ( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e2) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e4,e2) )
& e2 = op(op(e1,e2),op(e2,e1))
& e1 = op(op(e3,e1),op(e1,e3))
& ( e3 = op(e0,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3) )
& e0 = op(op(e3,e0),op(e0,e3))
& ( e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& e4 = op(op(e4,e4),op(e4,e4))
& e1 = op(op(e4,e1),op(e1,e4))
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e4)
| e0 = op(e2,e2)
| e0 = op(e2,e1) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e2,e2) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e2) )
& e4 = op(op(e3,e4),op(e4,e3))
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e4 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e4)
| e4 = op(e0,e1) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e3) )
& e4 = op(op(e1,e4),op(e4,e1))
& ( e3 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e4 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e2,e0)
| e4 = op(e3,e0)
| e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0) )
& e2 = op(op(e4,e2),op(e2,e4))
& ( e3 = op(e4,e1)
| e4 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1621,plain,
( ~ spl75_187
| ~ spl75_60 ),
inference(avatar_split_clause,[],[f464,f843,f1429]) ).
fof(f464,plain,
( ~ sP13
| e3 != op(e2,e1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e0 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1620,plain,
( ~ spl75_211
| ~ spl75_21 ),
inference(avatar_split_clause,[],[f390,f663,f1617]) ).
fof(f390,plain,
( ~ sP28
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1614,plain,
( ~ spl75_73
| ~ spl75_83 ),
inference(avatar_split_clause,[],[f197,f947,f903]) ).
fof(f197,plain,
( ~ sP66
| e2 != op(e3,e4) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e1 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f1606,plain,
( spl75_62
| spl75_165
| spl75_56
| ~ spl75_102
| spl75_37
| spl75_91 ),
inference(avatar_split_clause,[],[f308,f979,f736,f1023,f823,f1301,f852]) ).
fof(f308,plain,
( e4 = op(e4,e0)
| e3 = op(e3,e0)
| ~ sP44
| e0 = op(e0,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( e2 = op(e2,e2)
| e4 = op(e4,e2)
| e3 = op(e3,e2)
| e0 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e3)
| e4 = op(e4,e3)
| e2 = op(e2,e3)
| e0 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e1 = op(e1,e1)
| e2 = op(e2,e1)
| e3 = op(e3,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e0)
| e3 = op(e3,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e0)
| e2 = op(e2,e0) )
& ( e3 = op(e3,e4)
| e2 = op(e2,e4)
| e0 = op(e0,e4)
| e4 = op(e4,e4)
| e1 = op(e1,e4) ) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
fof(f1605,plain,
spl75_73,
inference(avatar_split_clause,[],[f557,f903]) ).
fof(f557,plain,
e2 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1597,plain,
( ~ spl75_112
| ~ spl75_187 ),
inference(avatar_split_clause,[],[f486,f1429,f1063]) ).
fof(f486,plain,
( e3 != op(e2,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1595,plain,
( ~ spl75_158
| ~ spl75_141 ),
inference(avatar_split_clause,[],[f499,f1179,f1263]) ).
fof(f499,plain,
( ~ sP6
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1594,plain,
spl75_174,
inference(avatar_split_clause,[],[f548,f1355]) ).
fof(f548,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1592,plain,
( ~ spl75_86
| ~ spl75_167 ),
inference(avatar_split_clause,[],[f379,f1314,f959]) ).
fof(f379,plain,
( e0 != op(e1,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0)
& e0 != op(e3,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1590,plain,
( ~ spl75_27
| ~ spl75_209 ),
inference(avatar_split_clause,[],[f494,f1587,f690]) ).
fof(f494,plain,
( e0 != op(e2,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1580,plain,
( ~ spl75_199
| ~ spl75_24 ),
inference(avatar_split_clause,[],[f206,f676,f1517]) ).
fof(f206,plain,
( ~ sP65
| e4 != op(e4,e2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e4 != op(e4,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1569,plain,
( ~ spl75_191
| ~ spl75_52 ),
inference(avatar_split_clause,[],[f362,f805,f1464]) ).
fof(f362,plain,
( ~ sP33
| e0 != op(e4,e1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1564,plain,
( ~ spl75_147
| ~ spl75_136 ),
inference(avatar_split_clause,[],[f423,f1159,f1206]) ).
fof(f423,plain,
( ~ sP21
| e1 != op(e4,e4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e0,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1533,plain,
spl75_155,
inference(avatar_split_clause,[],[f554,f1248]) ).
fof(f554,plain,
e1 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1532,plain,
( ~ spl75_18
| ~ spl75_118 ),
inference(avatar_split_clause,[],[f172,f1087,f649]) ).
fof(f172,plain,
( ~ sP71
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e0 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1531,plain,
( ~ spl75_191
| ~ spl75_28 ),
inference(avatar_split_clause,[],[f184,f695,f1464]) ).
fof(f184,plain,
( ~ sP69
| e0 != op(e4,e1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e4,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f1529,plain,
spl75_147,
inference(avatar_split_clause,[],[f546,f1206]) ).
fof(f546,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1477,plain,
( ~ spl75_40
| ~ spl75_161 ),
inference(avatar_split_clause,[],[f336,f1279,f750]) ).
fof(f336,plain,
( e4 != op(e2,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e4) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1467,plain,
( ~ spl75_191
| ~ spl75_20 ),
inference(avatar_split_clause,[],[f181,f658,f1464]) ).
fof(f181,plain,
( ~ sP70
| e0 != op(e4,e1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e0 != op(e4,e1)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1460,plain,
( ~ spl75_69
| ~ spl75_8 ),
inference(avatar_split_clause,[],[f347,f604,f885]) ).
fof(f347,plain,
( e0 != op(e3,e3)
| ~ sP36 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e0 != op(e2,e3)
& e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1457,plain,
( ~ spl75_111
| ~ spl75_147 ),
inference(avatar_split_clause,[],[f323,f1206,f1059]) ).
fof(f323,plain,
( e1 != op(e4,e4)
| ~ sP41 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e4)
& e1 != op(e4,e2) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1455,plain,
( ~ spl75_18
| ~ spl75_54 ),
inference(avatar_split_clause,[],[f440,f814,f649]) ).
fof(f440,plain,
( ~ sP18
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1454,plain,
( ~ spl75_121
| ~ spl75_158 ),
inference(avatar_split_clause,[],[f521,f1263,f1099]) ).
fof(f521,plain,
( e1 != op(e1,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1453,plain,
( ~ spl75_190
| ~ spl75_48 ),
inference(avatar_split_clause,[],[f270,f787,f1450]) ).
fof(f270,plain,
( ~ sP52
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e4 != op(e1,e3)
& e4 != op(e1,e1)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1435,plain,
( ~ spl75_167
| ~ spl75_113 ),
inference(avatar_split_clause,[],[f236,f1067,f1314]) ).
fof(f236,plain,
( ~ sP59
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e3) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1432,plain,
( ~ spl75_143
| ~ spl75_187 ),
inference(avatar_split_clause,[],[f287,f1429,f1187]) ).
fof(f287,plain,
( e3 != op(e2,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1400,plain,
( ~ spl75_155
| ~ spl75_93 ),
inference(avatar_split_clause,[],[f376,f987,f1248]) ).
fof(f376,plain,
( ~ sP31
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e1,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1399,plain,
( ~ spl75_133
| ~ spl75_181 ),
inference(avatar_split_clause,[],[f214,f1396,f1147]) ).
fof(f214,plain,
( e2 != op(e2,e2)
| ~ sP63 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1363,plain,
( ~ spl75_175
| ~ spl75_132 ),
inference(avatar_split_clause,[],[f476,f1143,f1360]) ).
fof(f476,plain,
( ~ sP11
| e3 != op(e4,e3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e3 != op(e4,e3)
& e4 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1358,plain,
( ~ spl75_174
| ~ spl75_79 ),
inference(avatar_split_clause,[],[f161,f931,f1355]) ).
fof(f161,plain,
( ~ sP74
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| ~ sP74 ),
inference(nnf_transformation,[],[f80]) ).
fof(f1325,plain,
spl75_33,
inference(avatar_split_clause,[],[f550,f718]) ).
fof(f550,plain,
e3 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1323,plain,
spl75_8,
inference(avatar_split_clause,[],[f556,f604]) ).
fof(f556,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1317,plain,
( ~ spl75_167
| ~ spl75_123 ),
inference(avatar_split_clause,[],[f452,f1107,f1314]) ).
fof(f452,plain,
( ~ sP15
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1305,plain,
( ~ spl75_153
| ~ spl75_55 ),
inference(avatar_split_clause,[],[f460,f819,f1238]) ).
fof(f460,plain,
( ~ sP14
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e4) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1282,plain,
( ~ spl75_161
| ~ spl75_2 ),
inference(avatar_split_clause,[],[f490,f577,f1279]) ).
fof(f490,plain,
( ~ sP8
| e4 != op(e2,e3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1266,plain,
( ~ spl75_158
| ~ spl75_87 ),
inference(avatar_split_clause,[],[f442,f963,f1263]) ).
fof(f442,plain,
( ~ sP17
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1251,plain,
( ~ spl75_99
| ~ spl75_155 ),
inference(avatar_split_clause,[],[f394,f1248,f1011]) ).
fof(f394,plain,
( e1 != op(e0,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1241,plain,
( ~ spl75_153
| ~ spl75_70 ),
inference(avatar_split_clause,[],[f237,f890,f1238]) ).
fof(f237,plain,
( ~ sP58
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1221,plain,
( ~ spl75_149
| ~ spl75_135 ),
inference(avatar_split_clause,[],[f357,f1155,f1218]) ).
fof(f357,plain,
( ~ sP34
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e4)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1209,plain,
( ~ spl75_109
| ~ spl75_147 ),
inference(avatar_split_clause,[],[f276,f1206,f1051]) ).
fof(f276,plain,
( e1 != op(e4,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e4 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f906,plain,
( ~ spl75_72
| ~ spl75_73 ),
inference(avatar_split_clause,[],[f207,f903,f899]) ).
fof(f207,plain,
( e2 != op(e3,e4)
| ~ sP64 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e4) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f879,plain,
( ~ spl75_66
| ~ spl75_67 ),
inference(avatar_split_clause,[],[f400,f876,f872]) ).
fof(f400,plain,
( e3 != op(e1,e4)
| ~ sP26 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e2) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f725,plain,
( ~ spl75_33
| ~ spl75_34 ),
inference(avatar_split_clause,[],[f279,f722,f718]) ).
fof(f279,plain,
( ~ sP50
| e3 != op(e0,e0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f707,plain,
( ~ spl75_30
| ~ spl75_9 ),
inference(avatar_split_clause,[],[f346,f609,f704]) ).
fof(f346,plain,
( ~ sP37
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e3) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f652,plain,
( ~ spl75_17
| ~ spl75_18 ),
inference(avatar_split_clause,[],[f190,f649,f645]) ).
fof(f190,plain,
( e1 != op(e3,e1)
| ~ sP68 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f607,plain,
( ~ spl75_7
| ~ spl75_8 ),
inference(avatar_split_clause,[],[f319,f604,f600]) ).
fof(f319,plain,
( e0 != op(e3,e3)
| ~ sP42 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3)
& e4 != op(e3,e3)
& e1 != op(e3,e3) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 29 14:59:45 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (3934)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.47 % (3929)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.47 % (3929)Instruction limit reached!
% 0.16/0.47 % (3929)------------------------------
% 0.16/0.47 % (3929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (3929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (3929)Termination reason: Unknown
% 0.16/0.47 % (3929)Termination phase: Preprocessing 2
% 0.16/0.47
% 0.16/0.47 % (3929)Memory used [KB]: 1407
% 0.16/0.47 % (3929)Time elapsed: 0.003 s
% 0.16/0.47 % (3929)Instructions burned: 3 (million)
% 0.16/0.47 % (3929)------------------------------
% 0.16/0.47 % (3929)------------------------------
% 0.16/0.47 % (3921)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.47 % (3917)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.47 % (3918)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (3937)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48 % (3921)Instruction limit reached!
% 0.16/0.48 % (3921)------------------------------
% 0.16/0.48 % (3921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (3921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (3921)Termination reason: Unknown
% 0.16/0.48 % (3921)Termination phase: Property scanning
% 0.16/0.48
% 0.16/0.48 % (3921)Memory used [KB]: 1791
% 0.16/0.48 % (3921)Time elapsed: 0.012 s
% 0.16/0.48 % (3921)Instructions burned: 12 (million)
% 0.16/0.48 % (3921)------------------------------
% 0.16/0.48 % (3921)------------------------------
% 0.16/0.48 % (3926)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (3925)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.49 % (3925)Instruction limit reached!
% 0.16/0.49 % (3925)------------------------------
% 0.16/0.49 % (3925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (3925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (3925)Termination reason: Unknown
% 0.16/0.49 % (3925)Termination phase: Naming
% 0.16/0.49
% 0.16/0.49 % (3925)Memory used [KB]: 1535
% 0.16/0.49 % (3925)Time elapsed: 0.003 s
% 0.16/0.49 % (3925)Instructions burned: 4 (million)
% 0.16/0.49 % (3925)------------------------------
% 0.16/0.49 % (3925)------------------------------
% 0.16/0.49 % (3933)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.51 % (3926)Instruction limit reached!
% 0.16/0.51 % (3926)------------------------------
% 0.16/0.51 % (3926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (3926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (3926)Termination reason: Unknown
% 0.16/0.51 % (3926)Termination phase: Property scanning
% 0.16/0.51
% 0.16/0.51 % (3926)Memory used [KB]: 1663
% 0.16/0.51 % (3926)Time elapsed: 0.006 s
% 0.16/0.51 % (3926)Instructions burned: 8 (million)
% 0.16/0.51 % (3926)------------------------------
% 0.16/0.51 % (3926)------------------------------
% 0.16/0.51 % (3917)First to succeed.
% 0.16/0.51 % (3919)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.51 % (3916)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.51 % (3915)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.53 % (3912)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.54 % (3934)Instruction limit reached!
% 0.16/0.54 % (3934)------------------------------
% 0.16/0.54 % (3934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (3918)Instruction limit reached!
% 0.16/0.54 % (3918)------------------------------
% 0.16/0.54 % (3918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (3918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (3918)Termination reason: Unknown
% 0.16/0.54 % (3918)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (3918)Memory used [KB]: 6652
% 0.16/0.54 % (3918)Time elapsed: 0.028 s
% 0.16/0.54 % (3918)Instructions burned: 40 (million)
% 0.16/0.54 % (3918)------------------------------
% 0.16/0.54 % (3918)------------------------------
% 0.16/0.54 % (3928)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.54 % (3924)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (3935)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.54 % (3934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (3934)Termination reason: Unknown
% 0.16/0.54 % (3934)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (3934)Memory used [KB]: 2046
% 0.16/0.54 % (3934)Time elapsed: 0.031 s
% 0.16/0.54 % (3934)Instructions burned: 45 (million)
% 0.16/0.54 % (3934)------------------------------
% 0.16/0.54 % (3934)------------------------------
% 0.16/0.54 % (3939)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.55 % (3928)Instruction limit reached!
% 0.16/0.55 % (3928)------------------------------
% 0.16/0.55 % (3928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (3928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (3928)Termination reason: Unknown
% 0.16/0.55 % (3928)Termination phase: Naming
% 0.16/0.55
% 0.16/0.55 % (3928)Memory used [KB]: 1535
% 0.16/0.55 % (3928)Time elapsed: 0.003 s
% 0.16/0.55 % (3928)Instructions burned: 3 (million)
% 0.16/0.55 % (3928)------------------------------
% 0.16/0.55 % (3928)------------------------------
% 0.16/0.55 % (3917)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Theorem for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (3917)------------------------------
% 0.16/0.55 % (3917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (3917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (3917)Termination reason: Refutation
% 0.16/0.55
% 0.16/0.55 % (3917)Memory used [KB]: 7547
% 0.16/0.55 % (3917)Time elapsed: 0.137 s
% 0.16/0.55 % (3917)Instructions burned: 29 (million)
% 0.16/0.55 % (3917)------------------------------
% 0.16/0.55 % (3917)------------------------------
% 0.16/0.55 % (3910)Success in time 0.224 s
%------------------------------------------------------------------------------