TSTP Solution File: ALG188+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG188+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_sat --cores 0 -t %d %s
% Computer : n001.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 15:43:24 EDT 2022
% Result : Theorem 1.57s 0.58s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 225
% Syntax : Number of formulae : 748 ( 51 unt; 0 def)
% Number of atoms : 3962 (2465 equ)
% Maximal formula atoms : 425 ( 5 avg)
% Number of connectives : 5436 (2222 ~;1897 |;1168 &)
% ( 149 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 130 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 225 ( 223 usr; 224 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2200,plain,
$false,
inference(avatar_sat_refutation,[],[f573,f618,f627,f727,f737,f765,f834,f857,f862,f880,f889,f954,f1300,f1301,f1313,f1323,f1328,f1373,f1374,f1389,f1394,f1401,f1423,f1429,f1439,f1450,f1452,f1458,f1459,f1478,f1501,f1508,f1514,f1539,f1540,f1549,f1560,f1561,f1569,f1574,f1576,f1587,f1594,f1602,f1604,f1639,f1640,f1646,f1664,f1670,f1672,f1673,f1680,f1688,f1690,f1693,f1697,f1699,f1700,f1708,f1709,f1710,f1711,f1713,f1721,f1722,f1748,f1757,f1759,f1764,f1796,f1797,f1808,f1812,f1816,f1819,f1823,f1850,f1855,f1862,f1864,f1870,f1874,f1878,f1885,f1894,f1895,f1896,f1898,f1899,f1900,f1906,f1921,f1925,f1927,f1944,f1957,f1958,f1959,f1960,f1964,f1968,f1973,f1979,f1984,f1989,f1992,f1996,f2001,f2005,f2008,f2012,f2018,f2023,f2026,f2031,f2037,f2042,f2046,f2053,f2057,f2062,f2069,f2073,f2077,f2082,f2088,f2093,f2098,f2103,f2109,f2113,f2118,f2123,f2127,f2133,f2138,f2141,f2146,f2152,f2155,f2160,f2166,f2171,f2176,f2179,f2186,f2191,f2195,f2199]) ).
fof(f2199,plain,
( spl74_169
| ~ spl74_187
| ~ spl74_198 ),
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2198,plain,
( $false
| spl74_169
| ~ spl74_187
| ~ spl74_198 ),
inference(subsumption_resolution,[],[f2197,f1387]) ).
fof(f1387,plain,
( e2 = op(e3,e0)
| ~ spl74_187 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1386,plain,
( spl74_187
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_187])]) ).
fof(f2197,plain,
( e2 != op(e3,e0)
| spl74_169
| ~ spl74_198 ),
inference(forward_demodulation,[],[f1291,f1448]) ).
fof(f1448,plain,
( e0 = op(e3,e2)
| ~ spl74_198 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1447,plain,
( spl74_198
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_198])]) ).
fof(f1291,plain,
( e2 != op(e3,op(e3,e2))
| spl74_169 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1289,plain,
( spl74_169
<=> e2 = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_169])]) ).
fof(f2195,plain,
( spl74_168
| ~ spl74_175 ),
inference(avatar_contradiction_clause,[],[f2194]) ).
fof(f2194,plain,
( $false
| spl74_168
| ~ spl74_175 ),
inference(subsumption_resolution,[],[f2193,f1321]) ).
fof(f1321,plain,
( e4 = op(e4,e4)
| ~ spl74_175 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl74_175
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_175])]) ).
fof(f2193,plain,
( e4 != op(e4,e4)
| spl74_168
| ~ spl74_175 ),
inference(forward_demodulation,[],[f1287,f1321]) ).
fof(f1287,plain,
( e4 != op(e4,op(e4,e4))
| spl74_168 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl74_168
<=> e4 = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_168])]) ).
fof(f2191,plain,
( ~ spl74_11
| spl74_167
| ~ spl74_217 ),
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2190,plain,
( $false
| ~ spl74_11
| spl74_167
| ~ spl74_217 ),
inference(subsumption_resolution,[],[f2189,f612]) ).
fof(f612,plain,
( e4 = op(e2,e3)
| ~ spl74_11 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl74_11
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_11])]) ).
fof(f2189,plain,
( e4 != op(e2,e3)
| spl74_167
| ~ spl74_217 ),
inference(forward_demodulation,[],[f1283,f1572]) ).
fof(f1572,plain,
( e3 = op(e2,e4)
| ~ spl74_217 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1571,plain,
( spl74_217
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_217])]) ).
fof(f1283,plain,
( e4 != op(e2,op(e2,e4))
| spl74_167 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl74_167
<=> e4 = op(e2,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_167])]) ).
fof(f2186,plain,
( ~ spl74_133
| spl74_166
| ~ spl74_188
| ~ spl74_248 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2185,plain,
( $false
| ~ spl74_133
| spl74_166
| ~ spl74_188
| ~ spl74_248 ),
inference(subsumption_resolution,[],[f2184,f1392]) ).
fof(f1392,plain,
( e0 = op(e1,e4)
| ~ spl74_188 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1391,plain,
( spl74_188
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_188])]) ).
fof(f2184,plain,
( e0 != op(e1,e4)
| ~ spl74_133
| spl74_166
| ~ spl74_248 ),
inference(forward_demodulation,[],[f2183,f1146]) ).
fof(f1146,plain,
( e1 = op(e2,e0)
| ~ spl74_133 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1145,plain,
( spl74_133
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_133])]) ).
fof(f2183,plain,
( e0 != op(op(e2,e0),e4)
| spl74_166
| ~ spl74_248 ),
inference(forward_demodulation,[],[f1279,f1892]) ).
fof(f1892,plain,
( e4 = op(e0,e2)
| ~ spl74_248 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1891,plain,
( spl74_248
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_248])]) ).
fof(f1279,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl74_166 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl74_166
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_166])]) ).
fof(f2179,plain,
( spl74_165
| ~ spl74_239
| ~ spl74_248 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2178,plain,
( $false
| spl74_165
| ~ spl74_239
| ~ spl74_248 ),
inference(subsumption_resolution,[],[f2177,f1762]) ).
fof(f1762,plain,
( e2 = op(e0,e4)
| ~ spl74_239 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1761,plain,
( spl74_239
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_239])]) ).
fof(f2177,plain,
( e2 != op(e0,e4)
| spl74_165
| ~ spl74_248 ),
inference(forward_demodulation,[],[f1275,f1892]) ).
fof(f1275,plain,
( e2 != op(e0,op(e0,e2))
| spl74_165 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl74_165
<=> e2 = op(e0,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_165])]) ).
fof(f2176,plain,
( ~ spl74_2
| ~ spl74_13
| ~ spl74_44
| spl74_164 ),
inference(avatar_contradiction_clause,[],[f2175]) ).
fof(f2175,plain,
( $false
| ~ spl74_2
| ~ spl74_13
| ~ spl74_44
| spl74_164 ),
inference(subsumption_resolution,[],[f2174,f571]) ).
fof(f571,plain,
( e1 = op(e0,e3)
| ~ spl74_2 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl74_2
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_2])]) ).
fof(f2174,plain,
( e1 != op(e0,e3)
| ~ spl74_13
| ~ spl74_44
| spl74_164 ),
inference(forward_demodulation,[],[f2173,f763]) ).
fof(f763,plain,
( e0 = op(e2,e1)
| ~ spl74_44 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f762,plain,
( spl74_44
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_44])]) ).
fof(f2173,plain,
( e1 != op(op(e2,e1),e3)
| ~ spl74_13
| spl74_164 ),
inference(forward_demodulation,[],[f1271,f621]) ).
fof(f621,plain,
( e3 = op(e1,e2)
| ~ spl74_13 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f620,plain,
( spl74_13
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_13])]) ).
fof(f1271,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl74_164 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1269,plain,
( spl74_164
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_164])]) ).
fof(f2171,plain,
( ~ spl74_13
| spl74_162
| ~ spl74_176 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2170,plain,
( $false
| ~ spl74_13
| spl74_162
| ~ spl74_176 ),
inference(subsumption_resolution,[],[f2169,f621]) ).
fof(f2169,plain,
( e3 != op(e1,e2)
| spl74_162
| ~ spl74_176 ),
inference(forward_demodulation,[],[f1263,f1326]) ).
fof(f1326,plain,
( e2 = op(e1,e3)
| ~ spl74_176 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1325,plain,
( spl74_176
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_176])]) ).
fof(f1263,plain,
( e3 != op(e1,op(e1,e3))
| spl74_162 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1261,plain,
( spl74_162
<=> e3 = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_162])]) ).
fof(f2166,plain,
( ~ spl74_11
| ~ spl74_64
| spl74_161
| ~ spl74_198 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2165,plain,
( $false
| ~ spl74_11
| ~ spl74_64
| spl74_161
| ~ spl74_198 ),
inference(subsumption_resolution,[],[f2164,f855]) ).
fof(f855,plain,
( e3 = op(e4,e0)
| ~ spl74_64 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl74_64
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_64])]) ).
fof(f2164,plain,
( e3 != op(e4,e0)
| ~ spl74_11
| spl74_161
| ~ spl74_198 ),
inference(forward_demodulation,[],[f2163,f612]) ).
fof(f2163,plain,
( e3 != op(op(e2,e3),e0)
| spl74_161
| ~ spl74_198 ),
inference(forward_demodulation,[],[f1259,f1448]) ).
fof(f1259,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl74_161 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1257,plain,
( spl74_161
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_161])]) ).
fof(f2160,plain,
( ~ spl74_68
| spl74_160 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| ~ spl74_68
| spl74_160 ),
inference(subsumption_resolution,[],[f2158,f874]) ).
fof(f874,plain,
( e2 = op(e2,e2)
| ~ spl74_68 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl74_68
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_68])]) ).
fof(f2158,plain,
( e2 != op(e2,e2)
| ~ spl74_68
| spl74_160 ),
inference(forward_demodulation,[],[f1255,f874]) ).
fof(f1255,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl74_160 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl74_160
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_160])]) ).
fof(f2155,plain,
( ~ spl74_36
| spl74_159 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2154,plain,
( $false
| ~ spl74_36
| spl74_159 ),
inference(subsumption_resolution,[],[f2153,f725]) ).
fof(f725,plain,
( e1 = op(e1,e1)
| ~ spl74_36 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl74_36
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_36])]) ).
fof(f2153,plain,
( e1 != op(e1,e1)
| ~ spl74_36
| spl74_159 ),
inference(forward_demodulation,[],[f1251,f725]) ).
fof(f1251,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl74_159 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1249,plain,
( spl74_159
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_159])]) ).
fof(f2152,plain,
( spl74_158
| ~ spl74_176
| ~ spl74_215
| ~ spl74_219 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2151,plain,
( $false
| spl74_158
| ~ spl74_176
| ~ spl74_215
| ~ spl74_219 ),
inference(subsumption_resolution,[],[f2150,f1585]) ).
fof(f1585,plain,
( e1 = op(e4,e2)
| ~ spl74_219 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f1584,plain,
( spl74_219
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_219])]) ).
fof(f2150,plain,
( e1 != op(e4,e2)
| spl74_158
| ~ spl74_176
| ~ spl74_215 ),
inference(forward_demodulation,[],[f2149,f1558]) ).
fof(f1558,plain,
( e4 = op(e3,e1)
| ~ spl74_215 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f1557,plain,
( spl74_215
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_215])]) ).
fof(f2149,plain,
( e1 != op(op(e3,e1),e2)
| spl74_158
| ~ spl74_176 ),
inference(forward_demodulation,[],[f1247,f1326]) ).
fof(f1247,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl74_158 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1245,plain,
( spl74_158
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_158])]) ).
fof(f2146,plain,
( ~ spl74_59
| spl74_156 ),
inference(avatar_contradiction_clause,[],[f2145]) ).
fof(f2145,plain,
( $false
| ~ spl74_59
| spl74_156 ),
inference(subsumption_resolution,[],[f2144,f832]) ).
fof(f832,plain,
( e3 = op(e3,e3)
| ~ spl74_59 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f831,plain,
( spl74_59
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_59])]) ).
fof(f2144,plain,
( e3 != op(e3,e3)
| ~ spl74_59
| spl74_156 ),
inference(forward_demodulation,[],[f1239,f832]) ).
fof(f1239,plain,
( e3 != op(e3,op(e3,e3))
| spl74_156 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1237,plain,
( spl74_156
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_156])]) ).
fof(f2141,plain,
( spl74_155
| ~ spl74_239
| ~ spl74_248 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2140,plain,
( $false
| spl74_155
| ~ spl74_239
| ~ spl74_248 ),
inference(subsumption_resolution,[],[f2139,f1892]) ).
fof(f2139,plain,
( e4 != op(e0,e2)
| spl74_155
| ~ spl74_239 ),
inference(forward_demodulation,[],[f1235,f1762]) ).
fof(f1235,plain,
( e4 != op(e0,op(e0,e4))
| spl74_155 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1233,plain,
( spl74_155
<=> e4 = op(e0,op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_155])]) ).
fof(f2138,plain,
( ~ spl74_85
| ~ spl74_133
| spl74_154
| ~ spl74_188 ),
inference(avatar_contradiction_clause,[],[f2137]) ).
fof(f2137,plain,
( $false
| ~ spl74_85
| ~ spl74_133
| spl74_154
| ~ spl74_188 ),
inference(subsumption_resolution,[],[f2136,f1146]) ).
fof(f2136,plain,
( e1 != op(e2,e0)
| ~ spl74_85
| spl74_154
| ~ spl74_188 ),
inference(forward_demodulation,[],[f2135,f952]) ).
fof(f952,plain,
( e2 = op(e4,e1)
| ~ spl74_85 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl74_85
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_85])]) ).
fof(f2135,plain,
( e1 != op(op(e4,e1),e0)
| spl74_154
| ~ spl74_188 ),
inference(forward_demodulation,[],[f1231,f1392]) ).
fof(f1231,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl74_154 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1229,plain,
( spl74_154
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_154])]) ).
fof(f2133,plain,
( ~ spl74_11
| spl74_153
| ~ spl74_217 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2132,plain,
( $false
| ~ spl74_11
| spl74_153
| ~ spl74_217 ),
inference(subsumption_resolution,[],[f2131,f1572]) ).
fof(f2131,plain,
( e3 != op(e2,e4)
| ~ spl74_11
| spl74_153 ),
inference(forward_demodulation,[],[f1227,f612]) ).
fof(f1227,plain,
( e3 != op(e2,op(e2,e3))
| spl74_153 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f1225,plain,
( spl74_153
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_153])]) ).
fof(f2127,plain,
( ~ spl74_65
| spl74_152
| ~ spl74_196
| ~ spl74_212 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
fof(f2126,plain,
( $false
| ~ spl74_65
| spl74_152
| ~ spl74_196
| ~ spl74_212 ),
inference(subsumption_resolution,[],[f2125,f860]) ).
fof(f860,plain,
( e4 = op(e1,e0)
| ~ spl74_65 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl74_65
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_65])]) ).
fof(f2125,plain,
( e4 != op(e1,e0)
| spl74_152
| ~ spl74_196
| ~ spl74_212 ),
inference(forward_demodulation,[],[f2124,f1537]) ).
fof(f1537,plain,
( e1 = op(e3,e4)
| ~ spl74_212 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl74_212
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_212])]) ).
fof(f2124,plain,
( e4 != op(op(e3,e4),e0)
| spl74_152
| ~ spl74_196 ),
inference(forward_demodulation,[],[f1223,f1437]) ).
fof(f1437,plain,
( e0 = op(e4,e3)
| ~ spl74_196 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl74_196
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_196])]) ).
fof(f1223,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl74_152 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl74_152
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_152])]) ).
fof(f2123,plain,
( ~ spl74_2
| spl74_151
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2122,plain,
( $false
| ~ spl74_2
| spl74_151
| ~ spl74_233 ),
inference(subsumption_resolution,[],[f2121,f571]) ).
fof(f2121,plain,
( e1 != op(e0,e3)
| spl74_151
| ~ spl74_233 ),
inference(forward_demodulation,[],[f1219,f1719]) ).
fof(f1719,plain,
( e3 = op(e0,e1)
| ~ spl74_233 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl74_233
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_233])]) ).
fof(f1219,plain,
( e1 != op(e0,op(e0,e1))
| spl74_151 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1217,plain,
( spl74_151
<=> e1 = op(e0,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_151])]) ).
fof(f2118,plain,
( ~ spl74_64
| spl74_149
| ~ spl74_198
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2117,plain,
( $false
| ~ spl74_64
| spl74_149
| ~ spl74_198
| ~ spl74_239 ),
inference(subsumption_resolution,[],[f2116,f1448]) ).
fof(f2116,plain,
( e0 != op(e3,e2)
| ~ spl74_64
| spl74_149
| ~ spl74_239 ),
inference(forward_demodulation,[],[f2115,f855]) ).
fof(f2115,plain,
( e0 != op(op(e4,e0),e2)
| spl74_149
| ~ spl74_239 ),
inference(forward_demodulation,[],[f1211,f1762]) ).
fof(f1211,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl74_149 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1209,plain,
( spl74_149
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_149])]) ).
fof(f2113,plain,
( ~ spl74_2
| spl74_148
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| ~ spl74_2
| spl74_148
| ~ spl74_233 ),
inference(subsumption_resolution,[],[f2111,f1719]) ).
fof(f2111,plain,
( e3 != op(e0,e1)
| ~ spl74_2
| spl74_148 ),
inference(forward_demodulation,[],[f1207,f571]) ).
fof(f1207,plain,
( e3 != op(e0,op(e0,e3))
| spl74_148 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl74_148
<=> e3 = op(e0,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_148])]) ).
fof(f2109,plain,
( ~ spl74_59
| spl74_146 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2108,plain,
( $false
| ~ spl74_59
| spl74_146 ),
inference(subsumption_resolution,[],[f2107,f832]) ).
fof(f2107,plain,
( e3 != op(e3,e3)
| ~ spl74_59
| spl74_146 ),
inference(forward_demodulation,[],[f1199,f832]) ).
fof(f1199,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl74_146 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1197,plain,
( spl74_146
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_146])]) ).
fof(f2103,plain,
( ~ spl74_65
| spl74_144
| ~ spl74_212
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2102]) ).
fof(f2102,plain,
( $false
| ~ spl74_65
| spl74_144
| ~ spl74_212
| ~ spl74_233 ),
inference(subsumption_resolution,[],[f2101,f1537]) ).
fof(f2101,plain,
( e1 != op(e3,e4)
| ~ spl74_65
| spl74_144
| ~ spl74_233 ),
inference(forward_demodulation,[],[f2100,f1719]) ).
fof(f2100,plain,
( e1 != op(op(e0,e1),e4)
| ~ spl74_65
| spl74_144 ),
inference(forward_demodulation,[],[f1191,f860]) ).
fof(f1191,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl74_144 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1189,plain,
( spl74_144
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_144])]) ).
fof(f2098,plain,
( ~ spl74_85
| spl74_140
| ~ spl74_219 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2097,plain,
( $false
| ~ spl74_85
| spl74_140
| ~ spl74_219 ),
inference(subsumption_resolution,[],[f2096,f952]) ).
fof(f2096,plain,
( e2 != op(e4,e1)
| spl74_140
| ~ spl74_219 ),
inference(forward_demodulation,[],[f1175,f1585]) ).
fof(f1175,plain,
( e2 != op(e4,op(e4,e2))
| spl74_140 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1173,plain,
( spl74_140
<=> e2 = op(e4,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_140])]) ).
fof(f2093,plain,
( ~ spl74_65
| spl74_138
| ~ spl74_188 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2092,plain,
( $false
| ~ spl74_65
| spl74_138
| ~ spl74_188 ),
inference(subsumption_resolution,[],[f2091,f1392]) ).
fof(f2091,plain,
( e0 != op(e1,e4)
| ~ spl74_65
| spl74_138 ),
inference(forward_demodulation,[],[f1167,f860]) ).
fof(f1167,plain,
( e0 != op(e1,op(e1,e0))
| spl74_138 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1165,plain,
( spl74_138
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_138])]) ).
fof(f2088,plain,
( ~ spl74_11
| spl74_137
| ~ spl74_198
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| ~ spl74_11
| spl74_137
| ~ spl74_198
| ~ spl74_239 ),
inference(subsumption_resolution,[],[f2086,f1762]) ).
fof(f2086,plain,
( e2 != op(e0,e4)
| ~ spl74_11
| spl74_137
| ~ spl74_198 ),
inference(forward_demodulation,[],[f2085,f1448]) ).
fof(f2085,plain,
( e2 != op(op(e3,e2),e4)
| ~ spl74_11
| spl74_137 ),
inference(forward_demodulation,[],[f1163,f612]) ).
fof(f1163,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl74_137 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1161,plain,
( spl74_137
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_137])]) ).
fof(f2082,plain,
( spl74_136
| ~ spl74_196
| ~ spl74_212
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| spl74_136
| ~ spl74_196
| ~ spl74_212
| ~ spl74_233 ),
inference(subsumption_resolution,[],[f2080,f1719]) ).
fof(f2080,plain,
( e3 != op(e0,e1)
| spl74_136
| ~ spl74_196
| ~ spl74_212 ),
inference(forward_demodulation,[],[f2079,f1437]) ).
fof(f2079,plain,
( e3 != op(op(e4,e3),e1)
| spl74_136
| ~ spl74_212 ),
inference(forward_demodulation,[],[f1159,f1537]) ).
fof(f1159,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl74_136 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1157,plain,
( spl74_136
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_136])]) ).
fof(f2077,plain,
( ~ spl74_85
| spl74_134
| ~ spl74_188
| ~ spl74_248 ),
inference(avatar_contradiction_clause,[],[f2076]) ).
fof(f2076,plain,
( $false
| ~ spl74_85
| spl74_134
| ~ spl74_188
| ~ spl74_248 ),
inference(subsumption_resolution,[],[f2075,f1892]) ).
fof(f2075,plain,
( e4 != op(e0,e2)
| ~ spl74_85
| spl74_134
| ~ spl74_188 ),
inference(forward_demodulation,[],[f2074,f1392]) ).
fof(f2074,plain,
( e4 != op(op(e1,e4),e2)
| ~ spl74_85
| spl74_134 ),
inference(forward_demodulation,[],[f1151,f952]) ).
fof(f1151,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl74_134 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1149,plain,
( spl74_134
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_134])]) ).
fof(f2073,plain,
( ~ spl74_85
| spl74_132
| ~ spl74_219 ),
inference(avatar_contradiction_clause,[],[f2072]) ).
fof(f2072,plain,
( $false
| ~ spl74_85
| spl74_132
| ~ spl74_219 ),
inference(subsumption_resolution,[],[f2071,f1585]) ).
fof(f2071,plain,
( e1 != op(e4,e2)
| ~ spl74_85
| spl74_132 ),
inference(forward_demodulation,[],[f1143,f952]) ).
fof(f1143,plain,
( e1 != op(e4,op(e4,e1))
| spl74_132 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1141,plain,
( spl74_132
<=> e1 = op(e4,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_132])]) ).
fof(f2069,plain,
( ~ spl74_44
| spl74_126
| ~ spl74_133 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2068,plain,
( $false
| ~ spl74_44
| spl74_126
| ~ spl74_133 ),
inference(subsumption_resolution,[],[f2067,f763]) ).
fof(f2067,plain,
( e0 != op(e2,e1)
| spl74_126
| ~ spl74_133 ),
inference(forward_demodulation,[],[f1119,f1146]) ).
fof(f1119,plain,
( e0 != op(e2,op(e2,e0))
| spl74_126 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1117,plain,
( spl74_126
<=> e0 = op(e2,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_126])]) ).
fof(f2062,plain,
( ~ spl74_13
| ~ spl74_44
| spl74_121
| ~ spl74_187 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl74_13
| ~ spl74_44
| spl74_121
| ~ spl74_187 ),
inference(subsumption_resolution,[],[f2060,f1387]) ).
fof(f2060,plain,
( e2 != op(e3,e0)
| ~ spl74_13
| ~ spl74_44
| spl74_121 ),
inference(forward_demodulation,[],[f2059,f621]) ).
fof(f2059,plain,
( e2 != op(op(e1,e2),e0)
| ~ spl74_44
| spl74_121 ),
inference(forward_demodulation,[],[f1099,f763]) ).
fof(f1099,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl74_121 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1097,plain,
( spl74_121
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_121])]) ).
fof(f2057,plain,
( spl74_115
| ~ spl74_215
| ~ spl74_217
| ~ spl74_219 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
fof(f2056,plain,
( $false
| spl74_115
| ~ spl74_215
| ~ spl74_217
| ~ spl74_219 ),
inference(subsumption_resolution,[],[f2055,f1558]) ).
fof(f2055,plain,
( e4 != op(e3,e1)
| spl74_115
| ~ spl74_217
| ~ spl74_219 ),
inference(forward_demodulation,[],[f2054,f1572]) ).
fof(f2054,plain,
( e4 != op(op(e2,e4),e1)
| spl74_115
| ~ spl74_219 ),
inference(forward_demodulation,[],[f1075,f1585]) ).
fof(f1075,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl74_115 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1073,plain,
( spl74_115
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_115])]) ).
fof(f2053,plain,
( ~ spl74_68
| spl74_114 ),
inference(avatar_contradiction_clause,[],[f2052]) ).
fof(f2052,plain,
( $false
| ~ spl74_68
| spl74_114 ),
inference(subsumption_resolution,[],[f2051,f874]) ).
fof(f2051,plain,
( e2 != op(e2,e2)
| ~ spl74_68
| spl74_114 ),
inference(forward_demodulation,[],[f1071,f874]) ).
fof(f1071,plain,
( e2 != op(e2,op(e2,e2))
| spl74_114 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl74_114
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_114])]) ).
fof(f2046,plain,
( spl74_113
| ~ spl74_176
| ~ spl74_215
| ~ spl74_217 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2045,plain,
( $false
| spl74_113
| ~ spl74_176
| ~ spl74_215
| ~ spl74_217 ),
inference(subsumption_resolution,[],[f2044,f1572]) ).
fof(f2044,plain,
( e3 != op(e2,e4)
| spl74_113
| ~ spl74_176
| ~ spl74_215 ),
inference(forward_demodulation,[],[f2043,f1326]) ).
fof(f2043,plain,
( e3 != op(op(e1,e3),e4)
| spl74_113
| ~ spl74_215 ),
inference(forward_demodulation,[],[f1067,f1558]) ).
fof(f1067,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl74_113 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1065,plain,
( spl74_113
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_113])]) ).
fof(f2042,plain,
( ~ spl74_11
| ~ spl74_64
| spl74_112
| ~ spl74_239 ),
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2041,plain,
( $false
| ~ spl74_11
| ~ spl74_64
| spl74_112
| ~ spl74_239 ),
inference(subsumption_resolution,[],[f2040,f612]) ).
fof(f2040,plain,
( e4 != op(e2,e3)
| ~ spl74_64
| spl74_112
| ~ spl74_239 ),
inference(forward_demodulation,[],[f2039,f1762]) ).
fof(f2039,plain,
( e4 != op(op(e0,e4),e3)
| ~ spl74_64
| spl74_112 ),
inference(forward_demodulation,[],[f1063,f855]) ).
fof(f1063,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl74_112 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1061,plain,
( spl74_112
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_112])]) ).
fof(f2037,plain,
( spl74_111
| ~ spl74_187
| ~ spl74_198 ),
inference(avatar_contradiction_clause,[],[f2036]) ).
fof(f2036,plain,
( $false
| spl74_111
| ~ spl74_187
| ~ spl74_198 ),
inference(subsumption_resolution,[],[f2035,f1448]) ).
fof(f2035,plain,
( e0 != op(e3,e2)
| spl74_111
| ~ spl74_187 ),
inference(forward_demodulation,[],[f1059,f1387]) ).
fof(f1059,plain,
( e0 != op(e3,op(e3,e0))
| spl74_111 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl74_111
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_111])]) ).
fof(f2031,plain,
( ~ spl74_2
| ~ spl74_44
| spl74_108
| ~ spl74_187 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2030,plain,
( $false
| ~ spl74_2
| ~ spl74_44
| spl74_108
| ~ spl74_187 ),
inference(subsumption_resolution,[],[f2029,f763]) ).
fof(f2029,plain,
( e0 != op(e2,e1)
| ~ spl74_2
| spl74_108
| ~ spl74_187 ),
inference(forward_demodulation,[],[f2028,f1387]) ).
fof(f2028,plain,
( e0 != op(op(e3,e0),e1)
| ~ spl74_2
| spl74_108 ),
inference(forward_demodulation,[],[f1047,f571]) ).
fof(f1047,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl74_108 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1045,plain,
( spl74_108
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_108])]) ).
fof(f2026,plain,
( ~ spl74_44
| spl74_106
| ~ spl74_133 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2025,plain,
( $false
| ~ spl74_44
| spl74_106
| ~ spl74_133 ),
inference(subsumption_resolution,[],[f2024,f1146]) ).
fof(f2024,plain,
( e1 != op(e2,e0)
| ~ spl74_44
| spl74_106 ),
inference(forward_demodulation,[],[f1039,f763]) ).
fof(f1039,plain,
( e1 != op(e2,op(e2,e1))
| spl74_106 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1037,plain,
( spl74_106
<=> e1 = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_106])]) ).
fof(f2023,plain,
( ~ spl74_71
| spl74_105 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl74_71
| spl74_105 ),
inference(subsumption_resolution,[],[f2021,f887]) ).
fof(f887,plain,
( e0 = op(e0,e0)
| ~ spl74_71 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl74_71
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_71])]) ).
fof(f2021,plain,
( e0 != op(e0,e0)
| ~ spl74_71
| spl74_105 ),
inference(forward_demodulation,[],[f1035,f887]) ).
fof(f1035,plain,
( e0 != op(e0,op(e0,e0))
| spl74_105 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl74_105
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_105])]) ).
fof(f2018,plain,
( ~ spl74_2
| ~ spl74_13
| spl74_104
| ~ spl74_187 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| ~ spl74_2
| ~ spl74_13
| spl74_104
| ~ spl74_187 ),
inference(subsumption_resolution,[],[f2016,f621]) ).
fof(f2016,plain,
( e3 != op(e1,e2)
| ~ spl74_2
| spl74_104
| ~ spl74_187 ),
inference(forward_demodulation,[],[f2015,f571]) ).
fof(f2015,plain,
( e3 != op(op(e0,e3),e2)
| spl74_104
| ~ spl74_187 ),
inference(forward_demodulation,[],[f1031,f1387]) ).
fof(f1031,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl74_104 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl74_104
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_104])]) ).
fof(f2012,plain,
( spl74_101
| ~ spl74_212
| ~ spl74_215 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2011,plain,
( $false
| spl74_101
| ~ spl74_212
| ~ spl74_215 ),
inference(subsumption_resolution,[],[f2010,f1558]) ).
fof(f2010,plain,
( e4 != op(e3,e1)
| spl74_101
| ~ spl74_212 ),
inference(forward_demodulation,[],[f1019,f1537]) ).
fof(f1019,plain,
( e4 != op(e3,op(e3,e4))
| spl74_101 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl74_101
<=> e4 = op(e3,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_101])]) ).
fof(f2008,plain,
( spl74_100
| ~ spl74_212
| ~ spl74_215 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2007,plain,
( $false
| spl74_100
| ~ spl74_212
| ~ spl74_215 ),
inference(subsumption_resolution,[],[f2006,f1537]) ).
fof(f2006,plain,
( e1 != op(e3,e4)
| spl74_100
| ~ spl74_215 ),
inference(forward_demodulation,[],[f1015,f1558]) ).
fof(f1015,plain,
( e1 != op(e3,op(e3,e1))
| spl74_100 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1013,plain,
( spl74_100
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_100])]) ).
fof(f2005,plain,
( ~ spl74_64
| spl74_99
| ~ spl74_196 ),
inference(avatar_contradiction_clause,[],[f2004]) ).
fof(f2004,plain,
( $false
| ~ spl74_64
| spl74_99
| ~ spl74_196 ),
inference(subsumption_resolution,[],[f2003,f855]) ).
fof(f2003,plain,
( e3 != op(e4,e0)
| spl74_99
| ~ spl74_196 ),
inference(forward_demodulation,[],[f1011,f1437]) ).
fof(f1011,plain,
( e3 != op(e4,op(e4,e3))
| spl74_99 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl74_99
<=> e3 = op(e4,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_99])]) ).
fof(f2001,plain,
( spl74_98
| ~ spl74_175 ),
inference(avatar_contradiction_clause,[],[f2000]) ).
fof(f2000,plain,
( $false
| spl74_98
| ~ spl74_175 ),
inference(subsumption_resolution,[],[f1999,f1321]) ).
fof(f1999,plain,
( e4 != op(e4,e4)
| spl74_98
| ~ spl74_175 ),
inference(forward_demodulation,[],[f1007,f1321]) ).
fof(f1007,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl74_98 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl74_98
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_98])]) ).
fof(f1996,plain,
( ~ spl74_36
| spl74_96 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f1995,plain,
( $false
| ~ spl74_36
| spl74_96 ),
inference(subsumption_resolution,[],[f1994,f725]) ).
fof(f1994,plain,
( e1 != op(e1,e1)
| ~ spl74_36
| spl74_96 ),
inference(forward_demodulation,[],[f999,f725]) ).
fof(f999,plain,
( e1 != op(e1,op(e1,e1))
| spl74_96 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl74_96
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_96])]) ).
fof(f1992,plain,
( ~ spl74_64
| spl74_95
| ~ spl74_196 ),
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1991,plain,
( $false
| ~ spl74_64
| spl74_95
| ~ spl74_196 ),
inference(subsumption_resolution,[],[f1990,f1437]) ).
fof(f1990,plain,
( e0 != op(e4,e3)
| ~ spl74_64
| spl74_95 ),
inference(forward_demodulation,[],[f995,f855]) ).
fof(f995,plain,
( e0 != op(e4,op(e4,e0))
| spl74_95 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f993,plain,
( spl74_95
<=> e0 = op(e4,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_95])]) ).
fof(f1989,plain,
( ~ spl74_71
| spl74_94 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f1988,plain,
( $false
| ~ spl74_71
| spl74_94 ),
inference(subsumption_resolution,[],[f1987,f887]) ).
fof(f1987,plain,
( e0 != op(e0,e0)
| ~ spl74_71
| spl74_94 ),
inference(forward_demodulation,[],[f991,f887]) ).
fof(f991,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl74_94 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f989,plain,
( spl74_94
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_94])]) ).
fof(f1984,plain,
( ~ spl74_65
| spl74_93
| ~ spl74_196
| ~ spl74_233 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1983,plain,
( $false
| ~ spl74_65
| spl74_93
| ~ spl74_196
| ~ spl74_233 ),
inference(subsumption_resolution,[],[f1982,f1437]) ).
fof(f1982,plain,
( e0 != op(e4,e3)
| ~ spl74_65
| spl74_93
| ~ spl74_233 ),
inference(forward_demodulation,[],[f1981,f860]) ).
fof(f1981,plain,
( e0 != op(op(e1,e0),e3)
| spl74_93
| ~ spl74_233 ),
inference(forward_demodulation,[],[f987,f1719]) ).
fof(f987,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl74_93 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f985,plain,
( spl74_93
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_93])]) ).
fof(f1979,plain,
( ~ spl74_65
| spl74_90
| ~ spl74_188 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1978,plain,
( $false
| ~ spl74_65
| spl74_90
| ~ spl74_188 ),
inference(subsumption_resolution,[],[f1977,f860]) ).
fof(f1977,plain,
( e4 != op(e1,e0)
| spl74_90
| ~ spl74_188 ),
inference(forward_demodulation,[],[f975,f1392]) ).
fof(f975,plain,
( e4 != op(e1,op(e1,e4))
| spl74_90 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f973,plain,
( spl74_90
<=> e4 = op(e1,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_90])]) ).
fof(f1973,plain,
( ~ spl74_13
| spl74_88
| ~ spl74_176 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1972,plain,
( $false
| ~ spl74_13
| spl74_88
| ~ spl74_176 ),
inference(subsumption_resolution,[],[f1971,f1326]) ).
fof(f1971,plain,
( e2 != op(e1,e3)
| ~ spl74_13
| spl74_88 ),
inference(forward_demodulation,[],[f967,f621]) ).
fof(f967,plain,
( e2 != op(e1,op(e1,e2))
| spl74_88 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl74_88
<=> e2 = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_88])]) ).
fof(f1968,plain,
( spl74_87
| ~ spl74_176
| ~ spl74_217
| ~ spl74_219 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| spl74_87
| ~ spl74_176
| ~ spl74_217
| ~ spl74_219 ),
inference(subsumption_resolution,[],[f1966,f1326]) ).
fof(f1966,plain,
( e2 != op(e1,e3)
| spl74_87
| ~ spl74_217
| ~ spl74_219 ),
inference(forward_demodulation,[],[f1965,f1585]) ).
fof(f1965,plain,
( e2 != op(op(e4,e2),e3)
| spl74_87
| ~ spl74_217 ),
inference(forward_demodulation,[],[f963,f1572]) ).
fof(f963,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl74_87 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f961,plain,
( spl74_87
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_87])]) ).
fof(f1964,plain,
( ~ spl74_85
| spl74_107
| ~ spl74_133
| ~ spl74_248 ),
inference(avatar_contradiction_clause,[],[f1963]) ).
fof(f1963,plain,
( $false
| ~ spl74_85
| spl74_107
| ~ spl74_133
| ~ spl74_248 ),
inference(subsumption_resolution,[],[f1962,f952]) ).
fof(f1962,plain,
( e2 != op(e4,e1)
| spl74_107
| ~ spl74_133
| ~ spl74_248 ),
inference(forward_demodulation,[],[f1961,f1892]) ).
fof(f1961,plain,
( e2 != op(op(e0,e2),e1)
| spl74_107
| ~ spl74_133 ),
inference(forward_demodulation,[],[f1043,f1146]) ).
fof(f1043,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl74_107 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl74_107
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl74_107])]) ).
fof(f1960,plain,
spl74_176,
inference(avatar_split_clause,[],[f559,f1325]) ).
fof(f559,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e3,e2)
& e2 = op(e4,e1)
& e3 = op(e3,e3)
& e1 = op(e0,e3)
& e2 = op(e0,e4)
& e2 = op(e1,e3)
& e3 = op(e2,e4)
& e2 = op(e3,e0)
& e3 = op(e1,e2)
& e4 = op(e3,e1)
& e4 = op(e1,e0)
& e0 = op(e1,e4)
& e1 = op(e2,e0)
& e1 = op(e1,e1)
& e0 = op(e4,e3)
& e0 = op(e2,e1)
& e3 = op(e0,e1)
& e3 = op(e4,e0)
& e1 = op(e3,e4)
& e2 = op(e2,e2)
& e0 = op(e0,e0)
& e1 = op(e4,e2)
& e4 = op(e2,e3)
& e4 = op(e0,e2)
& e4 = op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1959,plain,
spl74_233,
inference(avatar_split_clause,[],[f548,f1718]) ).
fof(f548,plain,
e3 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1958,plain,
spl74_198,
inference(avatar_split_clause,[],[f564,f1447]) ).
fof(f564,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1957,plain,
( ~ spl74_110
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f425,f1536,f1053]) ).
fof(f1053,plain,
( spl74_110
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_110])]) ).
fof(f425,plain,
( e1 != op(e3,e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e3 != op(e3,e4)
& e4 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e3 != op(e3,e4)
& e4 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1944,plain,
( ~ spl74_28
| ~ spl74_233 ),
inference(avatar_split_clause,[],[f365,f1718,f688]) ).
fof(f688,plain,
( spl74_28
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_28])]) ).
fof(f365,plain,
( e3 != op(e0,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1927,plain,
( ~ spl74_239
| ~ spl74_119 ),
inference(avatar_split_clause,[],[f433,f1089,f1761]) ).
fof(f1089,plain,
( spl74_119
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_119])]) ).
fof(f433,plain,
( ~ sP20
| e2 != op(e0,e4) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4)
& e3 != op(e0,e4)
& e1 != op(e0,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4)
& e3 != op(e0,e4)
& e1 != op(e0,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1925,plain,
( ~ spl74_85
| ~ spl74_86 ),
inference(avatar_split_clause,[],[f493,f956,f951]) ).
fof(f956,plain,
( spl74_86
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_86])]) ).
fof(f493,plain,
( ~ sP8
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e1 != op(e4,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e1 != op(e4,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1921,plain,
spl74_239,
inference(avatar_split_clause,[],[f560,f1761]) ).
fof(f560,plain,
e2 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1906,plain,
spl74_248,
inference(avatar_split_clause,[],[f541,f1891]) ).
fof(f541,plain,
e4 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1900,plain,
( ~ spl74_248
| ~ spl74_116 ),
inference(avatar_split_clause,[],[f338,f1077,f1891]) ).
fof(f1077,plain,
( spl74_116
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_116])]) ).
fof(f338,plain,
( ~ sP39
| e4 != op(e0,e2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e4) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e4) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f1899,plain,
( ~ spl74_53
| ~ spl74_36 ),
inference(avatar_split_clause,[],[f292,f724,f804]) ).
fof(f804,plain,
( spl74_53
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_53])]) ).
fof(f292,plain,
( e1 != op(e1,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f1898,plain,
spl74_59,
inference(avatar_split_clause,[],[f562,f831]) ).
fof(f562,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1896,plain,
( ~ spl74_248
| ~ spl74_27 ),
inference(avatar_split_clause,[],[f341,f683,f1891]) ).
fof(f683,plain,
( spl74_27
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_27])]) ).
fof(f341,plain,
( ~ sP38
| e4 != op(e0,e2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e0,e2)
& e4 != op(e1,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e0,e2)
& e4 != op(e1,e2) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1895,plain,
( ~ spl74_103
| ~ spl74_239 ),
inference(avatar_split_clause,[],[f509,f1761,f1025]) ).
fof(f1025,plain,
( spl74_103
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_103])]) ).
fof(f509,plain,
( e2 != op(e0,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1)
& e2 != op(e0,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1)
& e2 != op(e0,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1894,plain,
( ~ spl74_10
| ~ spl74_248 ),
inference(avatar_split_clause,[],[f270,f1891,f606]) ).
fof(f606,plain,
( spl74_10
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_10])]) ).
fof(f270,plain,
( e4 != op(e0,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f1885,plain,
( ~ spl74_49
| ~ spl74_196 ),
inference(avatar_split_clause,[],[f390,f1436,f785]) ).
fof(f785,plain,
( spl74_49
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_49])]) ).
fof(f390,plain,
( e0 != op(e4,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1878,plain,
spl74_188,
inference(avatar_split_clause,[],[f553,f1391]) ).
fof(f553,plain,
e0 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1874,plain,
spl74_64,
inference(avatar_split_clause,[],[f547,f854]) ).
fof(f547,plain,
e3 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1870,plain,
spl74_11,
inference(avatar_split_clause,[],[f542,f611]) ).
fof(f542,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1864,plain,
spl74_187,
inference(avatar_split_clause,[],[f557,f1386]) ).
fof(f557,plain,
e2 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1862,plain,
( ~ spl74_171
| ~ spl74_11 ),
inference(avatar_split_clause,[],[f312,f611,f1297]) ).
fof(f1297,plain,
( spl74_171
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_171])]) ).
fof(f312,plain,
( e4 != op(e2,e3)
| ~ sP44 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e2) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e2) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f1855,plain,
spl74_219,
inference(avatar_split_clause,[],[f543,f1584]) ).
fof(f543,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1850,plain,
spl74_175,
inference(avatar_split_clause,[],[f540,f1320]) ).
fof(f540,plain,
e4 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1823,plain,
spl74_68,
inference(avatar_split_clause,[],[f545,f873]) ).
fof(f545,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1819,plain,
( ~ spl74_133
| ~ spl74_127 ),
inference(avatar_split_clause,[],[f228,f1121,f1145]) ).
fof(f1121,plain,
( spl74_127
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_127])]) ).
fof(f228,plain,
( ~ sP61
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f1816,plain,
( ~ spl74_76
| ~ spl74_188 ),
inference(avatar_split_clause,[],[f262,f1391,f910]) ).
fof(f910,plain,
( spl74_76
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_76])]) ).
fof(f262,plain,
( e0 != op(e1,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f1812,plain,
( ~ spl74_67
| ~ spl74_233 ),
inference(avatar_split_clause,[],[f497,f1718,f868]) ).
fof(f868,plain,
( spl74_67
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_67])]) ).
fof(f497,plain,
( e3 != op(e0,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1808,plain,
spl74_36,
inference(avatar_split_clause,[],[f551,f724]) ).
fof(f551,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1797,plain,
( ~ spl74_118
| ~ spl74_71 ),
inference(avatar_split_clause,[],[f486,f886,f1085]) ).
fof(f1085,plain,
( spl74_118
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_118])]) ).
fof(f486,plain,
( e0 != op(e0,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1796,plain,
( ~ spl74_59
| ~ spl74_21 ),
inference(avatar_split_clause,[],[f410,f656,f831]) ).
fof(f656,plain,
( spl74_21
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_21])]) ).
fof(f410,plain,
( ~ sP24
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1764,plain,
( ~ spl74_125
| ~ spl74_239 ),
inference(avatar_split_clause,[],[f472,f1761,f1113]) ).
fof(f1113,plain,
( spl74_125
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_125])]) ).
fof(f472,plain,
( e2 != op(e0,e4)
| ~ sP12 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1759,plain,
( ~ spl74_135
| ~ spl74_68 ),
inference(avatar_split_clause,[],[f239,f873,f1153]) ).
fof(f1153,plain,
( spl74_135
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_135])]) ).
fof(f239,plain,
( e2 != op(e2,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e2 != op(e2,e2)
& e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != op(e2,e2)
& e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f1757,plain,
( ~ spl74_2
| ~ spl74_143 ),
inference(avatar_split_clause,[],[f531,f1185,f570]) ).
fof(f1185,plain,
( spl74_143
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_143])]) ).
fof(f531,plain,
( ~ sP0
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e1,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e1,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1748,plain,
( ~ spl74_187
| ~ spl74_117 ),
inference(avatar_split_clause,[],[f331,f1081,f1386]) ).
fof(f1081,plain,
( spl74_117
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_117])]) ).
fof(f331,plain,
( ~ sP40
| e2 != op(e3,e0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e3 != op(e3,e0)
& e4 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e3 != op(e3,e0)
& e4 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f1722,plain,
( ~ spl74_85
| ~ spl74_142 ),
inference(avatar_split_clause,[],[f523,f1181,f951]) ).
fof(f1181,plain,
( spl74_142
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_142])]) ).
fof(f523,plain,
( ~ sP2
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e2 != op(e4,e3)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( e2 != op(e4,e3)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1721,plain,
( ~ spl74_233
| ~ spl74_18 ),
inference(avatar_split_clause,[],[f298,f643,f1718]) ).
fof(f643,plain,
( spl74_18
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_18])]) ).
fof(f298,plain,
( ~ sP47
| e3 != op(e0,e1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e2) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e2) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f1713,plain,
( ~ spl74_92
| ~ spl74_215 ),
inference(avatar_split_clause,[],[f219,f1557,f981]) ).
fof(f981,plain,
( spl74_92
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_92])]) ).
fof(f219,plain,
( e4 != op(e3,e1)
| ~ sP63 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e4 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e4 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f1711,plain,
( ~ spl74_44
| ~ spl74_45 ),
inference(avatar_split_clause,[],[f384,f767,f762]) ).
fof(f767,plain,
( spl74_45
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_45])]) ).
fof(f384,plain,
( ~ sP30
| e0 != op(e2,e1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e4,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e4,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f1710,plain,
( ~ spl74_176
| ~ spl74_150 ),
inference(avatar_split_clause,[],[f255,f1213,f1325]) ).
fof(f1213,plain,
( spl74_150
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_150])]) ).
fof(f255,plain,
( ~ sP55
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e1 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f1709,plain,
spl74_196,
inference(avatar_split_clause,[],[f550,f1436]) ).
fof(f550,plain,
e0 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1708,plain,
spl74_217,
inference(avatar_split_clause,[],[f558,f1571]) ).
fof(f558,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1700,plain,
spl74_133,
inference(avatar_split_clause,[],[f552,f1145]) ).
fof(f552,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1699,plain,
( ~ spl74_198
| ~ spl74_84 ),
inference(avatar_split_clause,[],[f502,f946,f1447]) ).
fof(f946,plain,
( spl74_84
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_84])]) ).
fof(f502,plain,
( ~ sP6
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e2)
& e0 != op(e3,e4)
& e0 != op(e3,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e2)
& e0 != op(e3,e4)
& e0 != op(e3,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1697,plain,
spl74_212,
inference(avatar_split_clause,[],[f546,f1536]) ).
fof(f546,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1693,plain,
( ~ spl74_64
| ~ spl74_122 ),
inference(avatar_split_clause,[],[f377,f1101,f854]) ).
fof(f1101,plain,
( spl74_122
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_122])]) ).
fof(f377,plain,
( ~ sP31
| e3 != op(e4,e0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e3 != op(e4,e3)
& e3 != op(e4,e1)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e4,e3)
& e3 != op(e4,e1)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1690,plain,
spl74_215,
inference(avatar_split_clause,[],[f555,f1557]) ).
fof(f555,plain,
e4 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1688,plain,
spl74_71,
inference(avatar_split_clause,[],[f544,f886]) ).
fof(f544,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1680,plain,
( ~ spl74_63
| ~ spl74_176 ),
inference(avatar_split_clause,[],[f443,f1325,f849]) ).
fof(f849,plain,
( spl74_63
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_63])]) ).
fof(f443,plain,
( e2 != op(e1,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e4,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e4,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1673,plain,
( ~ spl74_219
| ~ spl74_42 ),
inference(avatar_split_clause,[],[f356,f753,f1584]) ).
fof(f753,plain,
( spl74_42
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_42])]) ).
fof(f356,plain,
( ~ sP35
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e1 != op(e1,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e2,e2) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e1 != op(e1,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e2,e2) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1672,plain,
( ~ spl74_56
| ~ spl74_11 ),
inference(avatar_split_clause,[],[f233,f611,f818]) ).
fof(f818,plain,
( spl74_56
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_56])]) ).
fof(f233,plain,
( e4 != op(e2,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e4 != op(e4,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e3,e3)
& e4 != op(e0,e3) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e4 != op(e4,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e3,e3)
& e4 != op(e0,e3) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f1670,plain,
( ~ spl74_170
| ~ spl74_217 ),
inference(avatar_split_clause,[],[f528,f1571,f1293]) ).
fof(f1293,plain,
( spl74_170
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_170])]) ).
fof(f528,plain,
( e3 != op(e2,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1664,plain,
( ~ spl74_23
| ~ spl74_219 ),
inference(avatar_split_clause,[],[f289,f1584,f665]) ).
fof(f665,plain,
( spl74_23
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_23])]) ).
fof(f289,plain,
( e1 != op(e4,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e1) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e1) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f1646,plain,
( ~ spl74_128
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f403,f1536,f1125]) ).
fof(f1125,plain,
( spl74_128
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_128])]) ).
fof(f403,plain,
( e1 != op(e3,e4)
| ~ sP26 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1640,plain,
( ~ spl74_217
| ~ spl74_78 ),
inference(avatar_split_clause,[],[f409,f919,f1571]) ).
fof(f919,plain,
( spl74_78
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_78])]) ).
fof(f409,plain,
( ~ sP25
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f1639,plain,
( ~ spl74_147
| ~ spl74_175 ),
inference(avatar_split_clause,[],[f374,f1320,f1201]) ).
fof(f1201,plain,
( spl74_147
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_147])]) ).
fof(f374,plain,
( e4 != op(e4,e4)
| ~ sP32 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e4 != op(e4,e4)
& e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e4 != op(e4,e4)
& e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1604,plain,
( ~ spl74_68
| ~ spl74_129 ),
inference(avatar_split_clause,[],[f475,f1129,f873]) ).
fof(f1129,plain,
( spl74_129
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_129])]) ).
fof(f475,plain,
( ~ sP11
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1602,plain,
spl74_44,
inference(avatar_split_clause,[],[f549,f762]) ).
fof(f549,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1594,plain,
( ~ spl74_141
| ~ spl74_71 ),
inference(avatar_split_clause,[],[f165,f886,f1177]) ).
fof(f1177,plain,
( spl74_141
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_141])]) ).
fof(f165,plain,
( e0 != op(e0,e0)
| ~ sP73 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e0 != op(e1,e0)
& e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e0 != op(e1,e0)
& e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1587,plain,
( ~ spl74_219
| ~ spl74_131 ),
inference(avatar_split_clause,[],[f303,f1137,f1584]) ).
fof(f1137,plain,
( spl74_131
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_131])]) ).
fof(f303,plain,
( ~ sP46
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f1576,plain,
( ~ spl74_72
| ~ spl74_215 ),
inference(avatar_split_clause,[],[f188,f1557,f892]) ).
fof(f892,plain,
( spl74_72
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_72])]) ).
fof(f188,plain,
( e4 != op(e3,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e4,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e4,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f1574,plain,
( ~ spl74_217
| ~ spl74_79 ),
inference(avatar_split_clause,[],[f518,f924,f1571]) ).
fof(f924,plain,
( spl74_79
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_79])]) ).
fof(f518,plain,
( ~ sP3
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1569,plain,
( ~ spl74_13
| ~ spl74_89 ),
inference(avatar_split_clause,[],[f223,f969,f620]) ).
fof(f969,plain,
( spl74_89
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_89])]) ).
fof(f223,plain,
( ~ sP62
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f1561,plain,
( ~ spl74_51
| ~ spl74_196 ),
inference(avatar_split_clause,[],[f352,f1436,f795]) ).
fof(f795,plain,
( spl74_51
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_51])]) ).
fof(f352,plain,
( e0 != op(e4,e3)
| ~ sP36 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1560,plain,
( ~ spl74_120
| ~ spl74_215 ),
inference(avatar_split_clause,[],[f192,f1557,f1093]) ).
fof(f1093,plain,
( spl74_120
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_120])]) ).
fof(f192,plain,
( e4 != op(e3,e1)
| ~ sP68 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e2) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e2) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f1549,plain,
( ~ spl74_198
| ~ spl74_157 ),
inference(avatar_split_clause,[],[f278,f1241,f1447]) ).
fof(f1241,plain,
( spl74_157
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_157])]) ).
fof(f278,plain,
( ~ sP51
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1540,plain,
( ~ spl74_187
| ~ spl74_124 ),
inference(avatar_split_clause,[],[f246,f1109,f1386]) ).
fof(f1109,plain,
( spl74_124
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_124])]) ).
fof(f246,plain,
( ~ sP57
| e2 != op(e3,e0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f1539,plain,
( ~ spl74_6
| ~ spl74_212 ),
inference(avatar_split_clause,[],[f305,f1536,f588]) ).
fof(f588,plain,
( spl74_6
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_6])]) ).
fof(f305,plain,
( e1 != op(e3,e4)
| ~ sP45 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f1514,plain,
( ~ spl74_163
| ~ spl74_65 ),
inference(avatar_split_clause,[],[f484,f859,f1265]) ).
fof(f1265,plain,
( spl74_163
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_163])]) ).
fof(f484,plain,
( e4 != op(e1,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1508,plain,
( ~ spl74_55
| ~ spl74_133 ),
inference(avatar_split_clause,[],[f250,f1145,f813]) ).
fof(f813,plain,
( spl74_55
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_55])]) ).
fof(f250,plain,
( e1 != op(e2,e0)
| ~ sP56 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f1501,plain,
spl74_85,
inference(avatar_split_clause,[],[f563,f951]) ).
fof(f563,plain,
e2 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1478,plain,
( ~ spl74_109
| ~ spl74_36 ),
inference(avatar_split_clause,[],[f437,f724,f1049]) ).
fof(f1049,plain,
( spl74_109
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_109])]) ).
fof(f437,plain,
( e1 != op(e1,e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1459,plain,
( ~ spl74_102
| ~ spl74_175 ),
inference(avatar_split_clause,[],[f513,f1320,f1021]) ).
fof(f1021,plain,
( spl74_102
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_102])]) ).
fof(f513,plain,
( e4 != op(e4,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1458,plain,
( ~ spl74_97
| ~ spl74_188 ),
inference(avatar_split_clause,[],[f317,f1391,f1001]) ).
fof(f1001,plain,
( spl74_97
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_97])]) ).
fof(f317,plain,
( e0 != op(e1,e4)
| ~ sP43 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f1452,plain,
( ~ spl74_82
| ~ spl74_64 ),
inference(avatar_split_clause,[],[f418,f854,f937]) ).
fof(f937,plain,
( spl74_82
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_82])]) ).
fof(f418,plain,
( e3 != op(e4,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1450,plain,
( ~ spl74_198
| ~ spl74_16 ),
inference(avatar_split_clause,[],[f460,f633,f1447]) ).
fof(f633,plain,
( spl74_16
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_16])]) ).
fof(f460,plain,
( ~ sP14
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1439,plain,
( ~ spl74_8
| ~ spl74_196 ),
inference(avatar_split_clause,[],[f320,f1436,f597]) ).
fof(f597,plain,
( spl74_8
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_8])]) ).
fof(f320,plain,
( e0 != op(e4,e3)
| ~ sP42 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0)
& e0 != op(e4,e3) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0)
& e0 != op(e4,e3) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f1429,plain,
spl74_13,
inference(avatar_split_clause,[],[f556,f620]) ).
fof(f556,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1423,plain,
( ~ spl74_139
| ~ spl74_65 ),
inference(avatar_split_clause,[],[f452,f859,f1169]) ).
fof(f1169,plain,
( spl74_139
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_139])]) ).
fof(f452,plain,
( e4 != op(e1,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0)
& e4 != op(e3,e0)
& e4 != op(e0,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0)
& e4 != op(e3,e0)
& e4 != op(e0,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1401,plain,
( ~ spl74_34
| ~ spl74_59 ),
inference(avatar_split_clause,[],[f207,f831,f715]) ).
fof(f715,plain,
( spl74_34
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_34])]) ).
fof(f207,plain,
( e3 != op(e3,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f1394,plain,
( ~ spl74_130
| ~ spl74_188 ),
inference(avatar_split_clause,[],[f395,f1391,f1133]) ).
fof(f1133,plain,
( spl74_130
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_130])]) ).
fof(f395,plain,
( e0 != op(e1,e4)
| ~ sP27 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1389,plain,
( ~ spl74_145
| ~ spl74_187 ),
inference(avatar_split_clause,[],[f347,f1386,f1193]) ).
fof(f1193,plain,
( spl74_145
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_145])]) ).
fof(f347,plain,
( e2 != op(e3,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e2) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e2) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1374,plain,
spl74_65,
inference(avatar_split_clause,[],[f554,f859]) ).
fof(f554,plain,
e4 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1373,plain,
( ~ spl74_44
| ~ spl74_91 ),
inference(avatar_split_clause,[],[f175,f977,f762]) ).
fof(f977,plain,
( spl74_91
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_91])]) ).
fof(f175,plain,
( ~ sP71
| e0 != op(e2,e1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e4 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e4 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f1328,plain,
( ~ spl74_3
| ~ spl74_176 ),
inference(avatar_split_clause,[],[f269,f1325,f575]) ).
fof(f575,plain,
( spl74_3
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_3])]) ).
fof(f269,plain,
( e2 != op(e1,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e4) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e4) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f1323,plain,
( ~ spl74_175
| ~ spl74_61 ),
inference(avatar_split_clause,[],[f325,f840,f1320]) ).
fof(f840,plain,
( spl74_61
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_61])]) ).
fof(f325,plain,
( ~ sP41
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e0 != op(e4,e4)
& e3 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e0 != op(e4,e4)
& e3 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f1313,plain,
( ~ spl74_2
| ~ spl74_123 ),
inference(avatar_split_clause,[],[f180,f1105,f570]) ).
fof(f1105,plain,
( spl74_123
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_123])]) ).
fof(f180,plain,
( ~ sP70
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f1301,plain,
spl74_2,
inference(avatar_split_clause,[],[f561,f570]) ).
fof(f561,plain,
e1 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1300,plain,
( ~ spl74_87
| spl74_69
| spl74_79
| ~ spl74_88
| spl74_89
| ~ spl74_90
| spl74_91
| spl74_92
| ~ spl74_93
| ~ spl74_94
| spl74_63
| spl74_16
| spl74_10
| spl74_76
| ~ spl74_95
| ~ spl74_96
| spl74_97
| ~ spl74_98
| ~ spl74_99
| spl74_14
| ~ spl74_100
| spl74_1
| spl74_21
| ~ spl74_101
| spl74_102
| spl74_35
| spl74_78
| spl74_103
| spl74_84
| ~ spl74_104
| ~ spl74_105
| ~ spl74_106
| ~ spl74_107
| ~ spl74_108
| spl74_109
| spl74_38
| spl74_18
| spl74_110
| spl74_61
| spl74_12
| ~ spl74_111
| ~ spl74_112
| ~ spl74_113
| ~ spl74_114
| spl74_50
| spl74_42
| ~ spl74_115
| spl74_116
| spl74_117
| spl74_118
| spl74_119
| spl74_120
| ~ spl74_121
| spl74_56
| spl74_122
| spl74_123
| spl74_8
| spl74_86
| spl74_82
| spl74_72
| spl74_124
| spl74_125
| ~ spl74_126
| spl74_127
| spl74_128
| spl74_129
| spl74_130
| spl74_131
| spl74_58
| spl74_55
| ~ spl74_132
| ~ spl74_133
| ~ spl74_134
| spl74_135
| ~ spl74_136
| ~ spl74_137
| ~ spl74_138
| spl74_139
| ~ spl74_140
| spl74_141
| spl74_3
| spl74_23
| spl74_142
| spl74_67
| spl74_143
| ~ spl74_144
| spl74_145
| ~ spl74_146
| spl74_147
| ~ spl74_148
| spl74_25
| ~ spl74_149
| spl74_6
| spl74_150
| ~ spl74_151
| ~ spl74_152
| ~ spl74_153
| ~ spl74_154
| ~ spl74_155
| spl74_49
| ~ spl74_156
| spl74_51
| spl74_157
| ~ spl74_158
| spl74_28
| ~ spl74_159
| spl74_45
| ~ spl74_160
| spl74_31
| ~ spl74_161
| ~ spl74_162
| spl74_163
| ~ spl74_164
| ~ spl74_165
| spl74_34
| ~ spl74_166
| ~ spl74_167
| spl74_43
| spl74_27
| spl74_53
| spl74_70
| ~ spl74_168
| ~ spl74_169
| spl74_170
| spl74_171 ),
inference(avatar_split_clause,[],[f535,f1297,f1293,f1289,f1285,f882,f804,f683,f758,f1281,f1277,f715,f1273,f1269,f1265,f1261,f1257,f702,f1253,f767,f1249,f688,f1245,f1241,f795,f1237,f785,f1233,f1229,f1225,f1221,f1217,f1213,f588,f1209,f674,f1205,f1201,f1197,f1193,f1189,f1185,f868,f1181,f665,f575,f1177,f1173,f1169,f1165,f1161,f1157,f1153,f1149,f1145,f1141,f813,f827,f1137,f1133,f1129,f1125,f1121,f1117,f1113,f1109,f892,f937,f956,f597,f1105,f1101,f818,f1097,f1093,f1089,f1085,f1081,f1077,f1073,f753,f790,f1069,f1065,f1061,f1057,f615,f840,f1053,f643,f734,f1049,f1045,f1041,f1037,f1033,f1029,f946,f1025,f919,f720,f1021,f1017,f656,f566,f1013,f624,f1009,f1005,f1001,f997,f993,f910,f606,f633,f849,f989,f985,f981,f977,f973,f969,f965,f924,f877,f961]) ).
fof(f877,plain,
( spl74_69
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_69])]) ).
fof(f624,plain,
( spl74_14
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_14])]) ).
fof(f566,plain,
( spl74_1
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_1])]) ).
fof(f720,plain,
( spl74_35
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_35])]) ).
fof(f734,plain,
( spl74_38
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_38])]) ).
fof(f615,plain,
( spl74_12
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_12])]) ).
fof(f790,plain,
( spl74_50
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_50])]) ).
fof(f827,plain,
( spl74_58
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_58])]) ).
fof(f674,plain,
( spl74_25
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_25])]) ).
fof(f702,plain,
( spl74_31
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_31])]) ).
fof(f758,plain,
( spl74_43
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_43])]) ).
fof(f882,plain,
( spl74_70
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl74_70])]) ).
fof(f535,plain,
( sP44
| sP1
| e2 != op(e3,op(e3,e2))
| e4 != op(e4,op(e4,e4))
| sP17
| sP48
| sP38
| sP29
| e4 != op(e2,op(e2,e4))
| e0 != op(op(e2,e0),op(e0,e2))
| sP65
| e2 != op(e0,op(e0,e2))
| e1 != op(op(e2,e1),op(e1,e2))
| sP10
| e3 != op(e1,op(e1,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| sP72
| e2 != op(op(e2,e2),op(e2,e2))
| sP30
| e1 != op(op(e1,e1),op(e1,e1))
| sP33
| e1 != op(op(e3,e1),op(e1,e3))
| sP51
| sP36
| e3 != op(e3,op(e3,e3))
| sP28
| e4 != op(e0,op(e0,e4))
| e1 != op(op(e4,e1),op(e1,e4))
| e3 != op(e2,op(e2,e3))
| e4 != op(op(e3,e4),op(e4,e3))
| e1 != op(e0,op(e0,e1))
| sP55
| sP45
| e0 != op(op(e4,e0),op(e0,e4))
| sP50
| e3 != op(e0,op(e0,e3))
| sP32
| e3 != op(op(e3,e3),op(e3,e3))
| sP37
| e1 != op(op(e0,e1),op(e1,e0))
| sP0
| sP7
| sP2
| sP49
| sP53
| sP73
| e2 != op(e4,op(e4,e2))
| sP16
| e0 != op(e1,op(e1,e0))
| e2 != op(op(e3,e2),op(e2,e3))
| e3 != op(op(e4,e3),op(e3,e4))
| sP59
| e4 != op(op(e1,e4),op(e4,e1))
| e1 != op(e2,e0)
| e1 != op(e4,op(e4,e1))
| sP56
| sP13
| sP46
| sP27
| sP11
| sP26
| sP61
| e0 != op(e2,op(e2,e0))
| sP12
| sP57
| sP69
| sP23
| sP8
| sP42
| sP70
| sP31
| sP60
| e2 != op(op(e1,e2),op(e2,e1))
| sP68
| sP20
| sP9
| sP40
| sP39
| e4 != op(op(e2,e4),op(e4,e2))
| sP35
| sP22
| e2 != op(e2,op(e2,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e0 != op(e3,op(e3,e0))
| sP58
| sP41
| sP21
| sP47
| sP64
| sP19
| e0 != op(op(e3,e0),op(e0,e3))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(e2,op(e2,e1))
| e0 != op(e0,op(e0,e0))
| e3 != op(op(e0,e3),op(e3,e0))
| sP6
| sP5
| sP25
| sP67
| sP4
| e4 != op(e3,op(e3,e4))
| sP24
| sP34
| e1 != op(e3,op(e3,e1))
| sP15
| e3 != op(e4,op(e4,e3))
| e4 != op(op(e4,e4),op(e4,e4))
| sP43
| e1 != op(e1,op(e1,e1))
| e0 != op(e4,op(e4,e0))
| sP54
| sP52
| sP14
| sP18
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(op(e1,e0),op(e0,e1))
| sP63
| sP71
| e4 != op(e1,op(e1,e4))
| sP62
| e2 != op(e1,op(e1,e2))
| sP3
| sP66
| e2 != op(op(e4,e2),op(e2,e4)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| e3 != op(e1,op(e1,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| sP73
| sP72
| sP71
| sP70
| e4 != op(op(e0,e4),op(e4,e0))
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| e1 != op(e4,op(e4,e1))
| e2 != op(e1,op(e1,e2))
| sP60
| sP59
| sP58
| sP57
| e2 != op(op(e4,e2),op(e2,e4))
| sP56
| e0 != op(op(e3,e0),op(e0,e3))
| e3 != op(e3,op(e3,e3))
| sP55
| e4 != op(e4,op(e4,e4))
| sP54
| sP53
| e4 != op(op(e4,e4),op(e4,e4))
| e2 != op(op(e1,e2),op(e2,e1))
| sP52
| sP51
| sP50
| sP49
| e3 != op(op(e2,e3),op(e3,e2))
| sP48
| sP47
| e4 != op(op(e3,e4),op(e4,e3))
| sP46
| e1 != op(op(e4,e1),op(e1,e4))
| sP45
| sP44
| sP43
| e2 != op(e3,op(e3,e2))
| sP42
| e1 != op(op(e3,e1),op(e1,e3))
| e2 != op(op(e3,e2),op(e2,e3))
| sP41
| e3 != op(op(e0,e3),op(e3,e0))
| sP40
| sP39
| sP38
| e3 != op(e0,op(e0,e3))
| sP37
| e0 != op(e4,op(e4,e0))
| sP36
| sP35
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(e1,op(e1,e1))
| e4 != op(op(e1,e4),op(e4,e1))
| sP34
| e4 != op(e3,op(e3,e4))
| sP33
| e1 != op(op(e2,e1),op(e1,e2))
| e4 != op(e1,op(e1,e4))
| e4 != op(op(e2,e4),op(e4,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e1 != op(e0,op(e0,e1))
| e2 != op(e2,op(e2,e2))
| sP32
| sP31
| e4 != op(e2,op(e2,e4))
| e1 != op(op(e0,e1),op(e1,e0))
| sP30
| sP29
| e2 != op(e0,op(e0,e2))
| sP28
| e2 != op(op(e0,e2),op(e2,e0))
| e0 != op(op(e2,e0),op(e0,e2))
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| e0 != op(op(e4,e0),op(e0,e4))
| sP21
| sP20
| sP19
| sP18
| sP17
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0))
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| e1 != op(e3,op(e3,e1))
| sP8
| e3 != op(e4,op(e4,e3))
| e3 != op(op(e3,e3),op(e3,e3))
| sP7
| e0 != op(op(e1,e0),op(e0,e1))
| e3 != op(e2,op(e2,e3))
| sP6
| sP5
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(e2,op(e2,e0))
| e2 != op(e4,op(e4,e2))
| sP4
| e1 != op(e2,op(e2,e1))
| sP3
| sP2
| sP1
| e4 != op(e0,op(e0,e4))
| sP0
| e3 != op(op(e4,e3),op(e3,e4))
| e0 != op(e3,op(e3,e0)) ),
inference(definition_folding,[],[f5,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(f19,plain,
( ( e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f35,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f64,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f70,plain,
( ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f72,plain,
( ( e4 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f73,plain,
( ( e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e0,e1)
& e1 != op(e2,e1) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f5,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| e3 != op(e1,op(e1,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| ( e0 != op(e1,e0)
& e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0) )
| ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ( e4 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3)
& e1 != op(e0,e3) )
| e4 != op(op(e0,e4),op(e4,e0))
| ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e4,e1)
& e4 != op(e1,e1) )
| ( e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e2) )
| ( e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e0,e1)
& e1 != op(e2,e1) )
| ( e4 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2) )
| ( e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ( e4 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0) )
| e1 != op(e4,op(e4,e1))
| e2 != op(e1,op(e1,e2))
| ( e4 != op(e4,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e3,e3)
& e4 != op(e0,e3) )
| ( e2 != op(e2,e2)
& e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2) )
| ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| e2 != op(op(e4,e2),op(e2,e4))
| ( e1 != op(e0,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| e0 != op(op(e3,e0),op(e0,e3))
| e3 != op(e3,op(e3,e3))
| ( e1 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3) )
| e4 != op(e4,op(e4,e4))
| ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e4) )
| e4 != op(op(e4,e4),op(e4,e4))
| e2 != op(op(e1,e2),op(e2,e1))
| ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ( e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0) )
| ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e1) )
| e3 != op(op(e2,e3),op(e3,e2))
| ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1) )
| ( e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e2) )
| e4 != op(op(e3,e4),op(e4,e3))
| ( e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2) )
| e1 != op(op(e4,e1),op(e1,e4))
| ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4) )
| ( e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e2) )
| ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| e2 != op(e3,op(e3,e2))
| ( e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0)
& e0 != op(e4,e3) )
| e1 != op(op(e3,e1),op(e1,e3))
| e2 != op(op(e3,e2),op(e2,e3))
| ( e0 != op(e4,e4)
& e3 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e4 != op(e4,e4) )
| e3 != op(op(e0,e3),op(e3,e0))
| ( e3 != op(e3,e0)
& e4 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e4) )
| ( e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e0,e2)
& e4 != op(e1,e2) )
| e3 != op(e0,op(e0,e3))
| ( e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e2) )
| e0 != op(e4,op(e4,e0))
| ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3) )
| ( e1 != op(e1,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e2,e2) )
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(e1,op(e1,e1))
| e4 != op(op(e1,e4),op(e4,e1))
| ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| e4 != op(e3,op(e3,e4))
| ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| e1 != op(op(e2,e1),op(e1,e2))
| e4 != op(e1,op(e1,e4))
| e4 != op(op(e2,e4),op(e4,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e1 != op(e0,op(e0,e1))
| e2 != op(e2,op(e2,e2))
| ( e4 != op(e4,e4)
& e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4) )
| ( e3 != op(e4,e3)
& e3 != op(e4,e1)
& e3 != op(e4,e0)
& e3 != op(e4,e2)
& e3 != op(e4,e4) )
| e4 != op(e2,op(e2,e4))
| e1 != op(op(e0,e1),op(e1,e0))
| ( e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e4,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4) )
| e2 != op(e0,op(e0,e2))
| ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3) )
| e2 != op(op(e0,e2),op(e2,e0))
| e0 != op(op(e2,e0),op(e0,e2))
| ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e0 != op(e1,e4) )
| ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4) )
| ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0) )
| ( e1 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| e0 != op(op(e4,e0),op(e0,e4))
| ( e3 != op(e3,e4)
& e4 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4) )
| ( e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4)
& e3 != op(e0,e4)
& e1 != op(e0,e4) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ( e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e4,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0))
| ( e4 != op(e2,e0)
& e4 != op(e4,e0)
& e4 != op(e1,e0)
& e4 != op(e3,e0)
& e4 != op(e0,e0) )
| ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2) )
| ( e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ( e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2) )
| ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0)
& e0 != op(e0,e3) )
| e1 != op(e3,op(e3,e1))
| ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e1 != op(e4,e1) )
| e3 != op(e4,op(e4,e3))
| e3 != op(op(e3,e3),op(e3,e3))
| ( e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| e0 != op(op(e1,e0),op(e0,e1))
| e3 != op(e2,op(e2,e3))
| ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e2)
& e0 != op(e3,e4)
& e0 != op(e3,e3) )
| ( e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1)
& e2 != op(e0,e2) )
| e0 != op(op(e0,e0),op(e0,e0))
| e0 != op(e2,op(e2,e0))
| e2 != op(e4,op(e4,e2))
| ( e4 != op(e4,e0)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e3) )
| e1 != op(e2,op(e2,e1))
| ( e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e4,e3)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4) )
| e4 != op(e0,op(e0,e4))
| ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e1,e3) )
| e3 != op(op(e4,e3),op(e3,e4))
| e0 != op(e3,op(e3,e0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( e1 = op(e1,op(e1,e1))
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e4 = op(e3,e3)
| e2 = op(e3,e3) )
& e4 = op(e3,op(e3,e4))
& ( e2 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2)
| e0 = op(e4,e2) )
& e0 = op(e3,op(e3,e0))
& ( e4 = op(e3,e3)
| e4 = op(e0,e3)
| e4 = op(e1,e3)
| e4 = op(e4,e3)
| e4 = op(e2,e3) )
& ( e4 = op(e4,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2) )
& e4 = op(e2,op(e2,e4))
& ( e3 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e0)
| e4 = op(e2,e1)
| e4 = op(e2,e3) )
& e0 = op(op(e4,e0),op(e0,e4))
& ( e4 = op(e0,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e1) )
& ( e1 = op(e1,e0)
| e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2) )
& ( e3 = op(e0,e0)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| e3 = op(e0,e4) )
& e2 = op(e0,op(e0,e2))
& e1 = op(e0,op(e0,e1))
& e3 = op(e0,op(e0,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(e0,op(e0,e4))
& e0 = op(e4,op(e4,e0))
& e4 = op(op(e1,e4),op(e4,e1))
& e0 = op(op(e3,e0),op(e0,e3))
& ( e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e1,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4) )
& ( e4 = op(e3,e3)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e4)
| e4 = op(e3,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e4,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e4)
| e2 = op(e1,e0) )
& e1 = op(op(e3,e1),op(e1,e3))
& e3 = op(e1,op(e1,e3))
& ( e3 = op(e4,e1)
| e2 = op(e4,e1)
| e0 = op(e4,e1)
| e4 = op(e4,e1)
| e1 = op(e4,e1) )
& ( e2 = op(e2,e2)
| e4 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e2 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e3,e2) )
& e3 = op(op(e2,e3),op(e3,e2))
& e2 = op(op(e3,e2),op(e2,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& ( e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e0) )
& ( e2 = op(e3,e0)
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e4 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& e2 = op(e3,op(e3,e2))
& ( e1 = op(e1,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3) )
& e1 = op(op(e0,e1),op(e1,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3) )
& ( e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e4) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e2) )
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(e2,op(e2,e1))
& e3 = op(op(e1,e3),op(e3,e1))
& ( e4 = op(e0,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e4,e1) )
& e2 = op(op(e4,e2),op(e2,e4))
& ( e4 = op(e4,e3)
| e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e4) )
& e1 = op(e3,op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(e4,op(e4,e2))
& ( e4 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e0 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e1 = op(e4,e4) )
& ( e3 = op(e1,e4)
| e0 = op(e1,e4)
| e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4) )
& ( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3) )
& ( e0 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0)
| e2 = op(e0,e4) )
& e4 = op(e1,op(e1,e4))
& e3 = op(e4,op(e4,e3))
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& e3 = op(op(e3,e3),op(e3,e3))
& ( e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e4) )
& ( e1 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3) )
& ( e1 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e4,e4)
| e2 = op(e0,e4) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e2,e0) )
& e1 = op(op(e2,e1),op(e1,e2))
& e2 = op(e2,op(e2,e2))
& ( e4 = op(e0,e4)
| e1 = op(e0,e4)
| e3 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e1,e4)
| e0 = op(e4,e4) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e4,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& e2 = op(e1,op(e1,e2))
& e3 = op(e2,op(e2,e3))
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0)
| e3 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e4,e3)
| e0 = op(e2,e3) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e1,e1) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e4)
| e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e1) )
& e4 = op(op(e4,e4),op(e4,e4))
& ( e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e4)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e1) )
& e4 = op(op(e0,e4),op(e4,e0))
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e4,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1) )
& e0 = op(op(e1,e0),op(e0,e1))
& ( e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e1)
| e4 = op(e1,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e1)
| e0 = op(e1,e2) )
& e1 = op(e4,op(e4,e1))
& ( e0 = op(e1,e0)
| e4 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2) )
& e0 = op(e2,op(e2,e0))
& e2 = op(op(e1,e2),op(e2,e1))
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0) )
& ( e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4) )
& ( e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e4) )
& e3 = op(e3,op(e3,e3))
& ( e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e4,e2) )
& e4 = op(e4,op(e4,e4))
& e1 = op(op(e4,e1),op(e1,e4))
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e4 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4) )
& e0 = op(op(e0,e0),op(e0,e0))
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) )
& e1 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(e1,e0))
& e0 = op(e0,op(e0,e0))
& ( e4 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3) )
& ( e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e1)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( e1 = op(e1,op(e1,e1))
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e4 = op(e3,e3)
| e2 = op(e3,e3) )
& e4 = op(e3,op(e3,e4))
& ( e2 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2)
| e0 = op(e4,e2) )
& e0 = op(e3,op(e3,e0))
& ( e4 = op(e3,e3)
| e4 = op(e0,e3)
| e4 = op(e1,e3)
| e4 = op(e4,e3)
| e4 = op(e2,e3) )
& ( e4 = op(e4,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2) )
& e4 = op(e2,op(e2,e4))
& ( e3 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e0)
| e4 = op(e2,e1)
| e4 = op(e2,e3) )
& e0 = op(op(e4,e0),op(e0,e4))
& ( e4 = op(e0,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e1) )
& ( e1 = op(e1,e0)
| e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2) )
& ( e3 = op(e0,e0)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| e3 = op(e0,e4) )
& e2 = op(e0,op(e0,e2))
& e1 = op(e0,op(e0,e1))
& e3 = op(e0,op(e0,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(e0,op(e0,e4))
& e0 = op(e4,op(e4,e0))
& e4 = op(op(e1,e4),op(e4,e1))
& e0 = op(op(e3,e0),op(e0,e3))
& ( e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e1,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4) )
& ( e4 = op(e3,e3)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e4)
| e4 = op(e3,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e4,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e4)
| e2 = op(e1,e0) )
& e1 = op(op(e3,e1),op(e1,e3))
& e3 = op(e1,op(e1,e3))
& ( e3 = op(e4,e1)
| e2 = op(e4,e1)
| e0 = op(e4,e1)
| e4 = op(e4,e1)
| e1 = op(e4,e1) )
& ( e2 = op(e2,e2)
| e4 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e2 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e3,e2) )
& e3 = op(op(e2,e3),op(e3,e2))
& e2 = op(op(e3,e2),op(e2,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& ( e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e0) )
& ( e2 = op(e3,e0)
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e4 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& e2 = op(e3,op(e3,e2))
& ( e1 = op(e1,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3) )
& e1 = op(op(e0,e1),op(e1,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3) )
& ( e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e4) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e2) )
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(e2,op(e2,e1))
& e3 = op(op(e1,e3),op(e3,e1))
& ( e4 = op(e0,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e4,e1) )
& e2 = op(op(e4,e2),op(e2,e4))
& ( e4 = op(e4,e3)
| e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e4) )
& e1 = op(e3,op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(e4,op(e4,e2))
& ( e4 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e0 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e1 = op(e4,e4) )
& ( e3 = op(e1,e4)
| e0 = op(e1,e4)
| e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4) )
& ( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3) )
& ( e0 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0)
| e2 = op(e0,e4) )
& e4 = op(e1,op(e1,e4))
& e3 = op(e4,op(e4,e3))
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& e3 = op(op(e3,e3),op(e3,e3))
& ( e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e4) )
& ( e1 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3) )
& ( e1 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e4,e4)
| e2 = op(e0,e4) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e2,e0) )
& e1 = op(op(e2,e1),op(e1,e2))
& e2 = op(e2,op(e2,e2))
& ( e4 = op(e0,e4)
| e1 = op(e0,e4)
| e3 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e1,e4)
| e0 = op(e4,e4) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e4,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& e2 = op(e1,op(e1,e2))
& e3 = op(e2,op(e2,e3))
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0)
| e3 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e4,e3)
| e0 = op(e2,e3) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e1,e1) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e4)
| e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e1) )
& e4 = op(op(e4,e4),op(e4,e4))
& ( e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e4)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e1) )
& e4 = op(op(e0,e4),op(e4,e0))
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e4,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1) )
& e0 = op(op(e1,e0),op(e0,e1))
& ( e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e1)
| e4 = op(e1,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e1)
| e0 = op(e1,e2) )
& e1 = op(e4,op(e4,e1))
& ( e0 = op(e1,e0)
| e4 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2) )
& e0 = op(e2,op(e2,e0))
& e2 = op(op(e1,e2),op(e2,e1))
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0) )
& ( e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4) )
& ( e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e4) )
& e3 = op(e3,op(e3,e3))
& ( e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e4,e2) )
& e4 = op(e4,op(e4,e4))
& e1 = op(op(e4,e1),op(e1,e4))
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e4 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4) )
& e0 = op(op(e0,e0),op(e0,e0))
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) )
& e1 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(e1,e0))
& e0 = op(e0,op(e0,e0))
& ( e4 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3) )
& ( e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e1)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f954,plain,
( ~ spl74_85
| ~ spl74_31 ),
inference(avatar_split_clause,[],[f174,f702,f951]) ).
fof(f174,plain,
( ~ sP72
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f889,plain,
( ~ spl74_70
| ~ spl74_71 ),
inference(avatar_split_clause,[],[f445,f886,f882]) ).
fof(f445,plain,
( e0 != op(e0,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f880,plain,
( ~ spl74_68
| ~ spl74_69 ),
inference(avatar_split_clause,[],[f201,f877,f873]) ).
fof(f201,plain,
( ~ sP66
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e4 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f862,plain,
( ~ spl74_25
| ~ spl74_65 ),
inference(avatar_split_clause,[],[f280,f859,f674]) ).
fof(f280,plain,
( e4 != op(e1,e0)
| ~ sP50 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f857,plain,
( ~ spl74_64
| ~ spl74_50 ),
inference(avatar_split_clause,[],[f421,f790,f854]) ).
fof(f421,plain,
( ~ sP22
| e3 != op(e4,e0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e1 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f834,plain,
( ~ spl74_58
| ~ spl74_59 ),
inference(avatar_split_clause,[],[f465,f831,f827]) ).
fof(f465,plain,
( e3 != op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f765,plain,
( ~ spl74_43
| ~ spl74_44 ),
inference(avatar_split_clause,[],[f386,f762,f758]) ).
fof(f386,plain,
( e0 != op(e2,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f737,plain,
( ~ spl74_38
| ~ spl74_13 ),
inference(avatar_split_clause,[],[f210,f620,f734]) ).
fof(f210,plain,
( e3 != op(e1,e2)
| ~ sP64 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f727,plain,
( ~ spl74_35
| ~ spl74_36 ),
inference(avatar_split_clause,[],[f198,f724,f720]) ).
fof(f198,plain,
( e1 != op(e1,e1)
| ~ sP67 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e0,e1)
& e1 != op(e2,e1) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f627,plain,
( ~ spl74_13
| ~ spl74_14 ),
inference(avatar_split_clause,[],[f459,f624,f620]) ).
fof(f459,plain,
( ~ sP15
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f618,plain,
( ~ spl74_11
| ~ spl74_12 ),
inference(avatar_split_clause,[],[f241,f615,f611]) ).
fof(f241,plain,
( ~ sP58
| e4 != op(e2,e3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f573,plain,
( ~ spl74_1
| ~ spl74_2 ),
inference(avatar_split_clause,[],[f360,f570,f566]) ).
fof(f360,plain,
( e1 != op(e0,e3)
| ~ sP34 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e4)
& e1 != op(e0,e2)
& e1 != op(e0,e3) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:19:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 % (2418)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.48 % (2418)Instruction limit reached!
% 0.21/0.48 % (2418)------------------------------
% 0.21/0.48 % (2418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (2418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (2418)Termination reason: Unknown
% 0.21/0.48 % (2418)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (2418)Memory used [KB]: 1151
% 0.21/0.48 % (2418)Time elapsed: 0.006 s
% 0.21/0.48 % (2418)Instructions burned: 7 (million)
% 0.21/0.48 % (2418)------------------------------
% 0.21/0.48 % (2418)------------------------------
% 0.21/0.48 % (2426)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.50 % (2411)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 % (2427)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (2419)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (2419)Instruction limit reached!
% 0.21/0.51 % (2419)------------------------------
% 0.21/0.51 % (2419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2419)Termination reason: Unknown
% 0.21/0.51 % (2419)Termination phase: Naming
% 0.21/0.51
% 0.21/0.51 % (2419)Memory used [KB]: 1023
% 0.21/0.51 % (2419)Time elapsed: 0.003 s
% 0.21/0.51 % (2419)Instructions burned: 3 (million)
% 0.21/0.51 % (2419)------------------------------
% 0.21/0.51 % (2419)------------------------------
% 0.21/0.53 % (2421)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (2422)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (2420)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (2416)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (2439)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (2423)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (2415)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (2440)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.54 % (2414)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (2413)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (2412)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (2426)Instruction limit reached!
% 0.21/0.54 % (2426)------------------------------
% 0.21/0.54 % (2426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2426)Termination reason: Unknown
% 0.21/0.55 % (2426)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (2426)Memory used [KB]: 1535
% 0.21/0.55 % (2426)Time elapsed: 0.066 s
% 0.21/0.55 % (2426)Instructions burned: 76 (million)
% 1.45/0.55 % (2426)------------------------------
% 1.45/0.55 % (2426)------------------------------
% 1.45/0.55 % (2431)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.45/0.55 % (2432)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.55 % (2437)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.55 % (2436)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.55 % (2438)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.45/0.55 % (2427)First to succeed.
% 1.45/0.56 % (2434)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.45/0.56 % (2424)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.56 % (2433)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.45/0.56 % (2429)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.56 % (2428)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.56 % (2430)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.57 % (2417)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.57 % (2425)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.57/0.58 % (2435)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.57/0.58 % (2427)Refutation found. Thanks to Tanya!
% 1.57/0.58 % SZS status Theorem for theBenchmark
% 1.57/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.59 % (2427)------------------------------
% 1.57/0.59 % (2427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (2427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (2427)Termination reason: Refutation
% 1.57/0.59
% 1.57/0.59 % (2427)Memory used [KB]: 7036
% 1.57/0.59 % (2427)Time elapsed: 0.144 s
% 1.57/0.59 % (2427)Instructions burned: 33 (million)
% 1.57/0.59 % (2427)------------------------------
% 1.57/0.59 % (2427)------------------------------
% 1.57/0.59 % (2410)Success in time 0.226 s
%------------------------------------------------------------------------------