TSTP Solution File: ALG187+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG187+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 : n008.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 1.54s 0.57s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 208
% Syntax : Number of formulae : 659 ( 56 unt; 0 def)
% Number of atoms : 3699 (2425 equ)
% Maximal formula atoms : 425 ( 5 avg)
% Number of connectives : 5109 (2069 ~;1729 |;1181 &)
% ( 130 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 207 ( 205 usr; 206 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2049,plain,
$false,
inference(avatar_sat_refutation,[],[f616,f634,f722,f752,f771,f1116,f1117,f1123,f1128,f1138,f1148,f1163,f1189,f1224,f1239,f1240,f1250,f1276,f1325,f1341,f1357,f1380,f1391,f1392,f1411,f1427,f1450,f1493,f1501,f1502,f1503,f1511,f1520,f1556,f1561,f1569,f1572,f1574,f1582,f1584,f1595,f1630,f1640,f1661,f1662,f1666,f1668,f1675,f1676,f1677,f1687,f1697,f1698,f1703,f1704,f1705,f1706,f1716,f1738,f1741,f1742,f1747,f1751,f1767,f1773,f1777,f1778,f1780,f1785,f1786,f1787,f1790,f1795,f1801,f1808,f1809,f1810,f1816,f1818,f1827,f1828,f1830,f1837,f1841,f1843,f1849,f1854,f1855,f1859,f1860,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f1874,f1875,f1876,f1880,f1886,f1892,f1896,f1902,f1910,f1913,f1919,f1923,f1930,f1936,f1940,f1946,f1952,f1958,f1963,f1969,f1975,f1980,f1985,f1989,f1996,f2000,f2006,f2012,f2022,f2035,f2041,f2044,f2048]) ).
fof(f2048,plain,
( ~ spl75_152
| ~ spl75_225 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2047,plain,
( $false
| ~ spl75_152
| ~ spl75_225 ),
inference(subsumption_resolution,[],[f2046,f189]) ).
fof(f189,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e0 != e1
& e2 != e4
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e4
& e3 != e4
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2046,plain,
( e0 = e2
| ~ spl75_152
| ~ spl75_225 ),
inference(forward_demodulation,[],[f1760,f1237]) ).
fof(f1237,plain,
( e0 = op(e0,e2)
| ~ spl75_152 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl75_152
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_152])]) ).
fof(f1760,plain,
( e2 = op(e0,e2)
| ~ spl75_225 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1759,plain,
( spl75_225
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_225])]) ).
fof(f2044,plain,
( ~ spl75_165
| ~ spl75_204 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2043,plain,
( $false
| ~ spl75_165
| ~ spl75_204 ),
inference(subsumption_resolution,[],[f2042,f183]) ).
fof(f183,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f2042,plain,
( e1 = e3
| ~ spl75_165
| ~ spl75_204 ),
inference(forward_demodulation,[],[f1307,f1554]) ).
fof(f1554,plain,
( e1 = op(e0,e3)
| ~ spl75_204 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f1553,plain,
( spl75_204
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_204])]) ).
fof(f1307,plain,
( e3 = op(e0,e3)
| ~ spl75_165 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1306,plain,
( spl75_165
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_165])]) ).
fof(f2041,plain,
( ~ spl75_135
| ~ spl75_197 ),
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2040,plain,
( $false
| ~ spl75_135
| ~ spl75_197 ),
inference(subsumption_resolution,[],[f2039,f186]) ).
fof(f186,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f2039,plain,
( e1 = e2
| ~ spl75_135
| ~ spl75_197 ),
inference(backward_demodulation,[],[f1499,f1151]) ).
fof(f1151,plain,
( e1 = op(e0,e1)
| ~ spl75_135 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1150,plain,
( spl75_135
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_135])]) ).
fof(f1499,plain,
( e2 = op(e0,e1)
| ~ spl75_197 ),
inference(avatar_component_clause,[],[f1498]) ).
fof(f1498,plain,
( spl75_197
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_197])]) ).
fof(f2035,plain,
( ~ spl75_56
| ~ spl75_208 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
fof(f2034,plain,
( $false
| ~ spl75_56
| ~ spl75_208 ),
inference(subsumption_resolution,[],[f2033,f187]) ).
fof(f187,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f2033,plain,
( e0 = e4
| ~ spl75_56
| ~ spl75_208 ),
inference(backward_demodulation,[],[f1593,f825]) ).
fof(f825,plain,
( e0 = op(e0,e0)
| ~ spl75_56 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl75_56
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_56])]) ).
fof(f1593,plain,
( e4 = op(e0,e0)
| ~ spl75_208 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl75_208
<=> e4 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_208])]) ).
fof(f2022,plain,
( ~ spl75_18
| ~ spl75_137 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl75_18
| ~ spl75_137 ),
inference(subsumption_resolution,[],[f2020,f184]) ).
fof(f184,plain,
e3 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f2020,plain,
( e3 = e4
| ~ spl75_18
| ~ spl75_137 ),
inference(forward_demodulation,[],[f650,f1161]) ).
fof(f1161,plain,
( e3 = op(e0,e4)
| ~ spl75_137 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1160,plain,
( spl75_137
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_137])]) ).
fof(f650,plain,
( e4 = op(e0,e4)
| ~ spl75_18 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f649,plain,
( spl75_18
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_18])]) ).
fof(f2012,plain,
( ~ spl75_10
| spl75_57
| ~ spl75_159
| ~ spl75_171 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2011,plain,
( $false
| ~ spl75_10
| spl75_57
| ~ spl75_159
| ~ spl75_171 ),
inference(subsumption_resolution,[],[f2010,f1274]) ).
fof(f1274,plain,
( e3 = op(e3,e0)
| ~ spl75_159 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl75_159
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_159])]) ).
fof(f2010,plain,
( e3 != op(e3,e0)
| ~ spl75_10
| spl75_57
| ~ spl75_171 ),
inference(forward_demodulation,[],[f2009,f614]) ).
fof(f614,plain,
( e3 = op(e1,e3)
| ~ spl75_10 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl75_10
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_10])]) ).
fof(f2009,plain,
( e3 != op(op(e1,e3),e0)
| spl75_57
| ~ spl75_171 ),
inference(forward_demodulation,[],[f830,f1339]) ).
fof(f1339,plain,
( e0 = op(e3,e1)
| ~ spl75_171 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl75_171
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_171])]) ).
fof(f830,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl75_57 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl75_57
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_57])]) ).
fof(f2006,plain,
( spl75_126
| ~ spl75_152
| ~ spl75_173
| ~ spl75_197 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2005,plain,
( $false
| spl75_126
| ~ spl75_152
| ~ spl75_173
| ~ spl75_197 ),
inference(subsumption_resolution,[],[f2004,f1237]) ).
fof(f2004,plain,
( e0 != op(e0,e2)
| spl75_126
| ~ spl75_173
| ~ spl75_197 ),
inference(forward_demodulation,[],[f2003,f1355]) ).
fof(f1355,plain,
( e0 = op(e1,e0)
| ~ spl75_173 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl75_173
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_173])]) ).
fof(f2003,plain,
( e0 != op(op(e1,e0),e2)
| spl75_126
| ~ spl75_197 ),
inference(forward_demodulation,[],[f1106,f1499]) ).
fof(f1106,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl75_126 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1104,plain,
( spl75_126
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_126])]) ).
fof(f2000,plain,
( ~ spl75_39
| spl75_125
| ~ spl75_152
| ~ spl75_197 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f1999,plain,
( $false
| ~ spl75_39
| spl75_125
| ~ spl75_152
| ~ spl75_197 ),
inference(subsumption_resolution,[],[f1998,f1499]) ).
fof(f1998,plain,
( e2 != op(e0,e1)
| ~ spl75_39
| spl75_125
| ~ spl75_152 ),
inference(forward_demodulation,[],[f1997,f1237]) ).
fof(f1997,plain,
( e2 != op(op(e0,e2),e1)
| ~ spl75_39
| spl75_125 ),
inference(forward_demodulation,[],[f1102,f750]) ).
fof(f750,plain,
( e1 = op(e2,e0)
| ~ spl75_39 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl75_39
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_39])]) ).
fof(f1102,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl75_125 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1100,plain,
( spl75_125
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_125])]) ).
fof(f1996,plain,
( spl75_122
| ~ spl75_130
| ~ spl75_132
| ~ spl75_205 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f1995,plain,
( $false
| spl75_122
| ~ spl75_130
| ~ spl75_132
| ~ spl75_205 ),
inference(subsumption_resolution,[],[f1994,f1559]) ).
fof(f1559,plain,
( e2 = op(e2,e4)
| ~ spl75_205 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1558,plain,
( spl75_205
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_205])]) ).
fof(f1994,plain,
( e2 != op(e2,e4)
| spl75_122
| ~ spl75_130
| ~ spl75_132 ),
inference(forward_demodulation,[],[f1993,f1136]) ).
fof(f1136,plain,
( e2 = op(e1,e2)
| ~ spl75_132 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1135,plain,
( spl75_132
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_132])]) ).
fof(f1993,plain,
( e2 != op(op(e1,e2),e4)
| spl75_122
| ~ spl75_130 ),
inference(forward_demodulation,[],[f1090,f1126]) ).
fof(f1126,plain,
( e4 = op(e2,e1)
| ~ spl75_130 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1125,plain,
( spl75_130
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_130])]) ).
fof(f1090,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl75_122 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1088,plain,
( spl75_122
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_122])]) ).
fof(f1989,plain,
( spl75_120
| ~ spl75_130
| ~ spl75_205
| ~ spl75_215 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f1988,plain,
( $false
| spl75_120
| ~ spl75_130
| ~ spl75_205
| ~ spl75_215 ),
inference(subsumption_resolution,[],[f1987,f1126]) ).
fof(f1987,plain,
( e4 != op(e2,e1)
| spl75_120
| ~ spl75_205
| ~ spl75_215 ),
inference(forward_demodulation,[],[f1986,f1559]) ).
fof(f1986,plain,
( e4 != op(op(e2,e4),e1)
| spl75_120
| ~ spl75_215 ),
inference(forward_demodulation,[],[f1082,f1638]) ).
fof(f1638,plain,
( e1 = op(e4,e2)
| ~ spl75_215 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1637,plain,
( spl75_215
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_215])]) ).
fof(f1082,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl75_120 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1080,plain,
( spl75_120
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_120])]) ).
fof(f1985,plain,
( spl75_119
| ~ spl75_177
| ~ spl75_208 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
fof(f1984,plain,
( $false
| spl75_119
| ~ spl75_177
| ~ spl75_208 ),
inference(subsumption_resolution,[],[f1983,f1378]) ).
fof(f1378,plain,
( e0 = op(e4,e4)
| ~ spl75_177 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1377,plain,
( spl75_177
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_177])]) ).
fof(f1983,plain,
( e0 != op(e4,e4)
| spl75_119
| ~ spl75_208 ),
inference(forward_demodulation,[],[f1078,f1593]) ).
fof(f1078,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl75_119 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1076,plain,
( spl75_119
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_119])]) ).
fof(f1980,plain,
( spl75_114
| ~ spl75_128
| ~ spl75_137
| ~ spl75_149 ),
inference(avatar_contradiction_clause,[],[f1979]) ).
fof(f1979,plain,
( $false
| spl75_114
| ~ spl75_128
| ~ spl75_137
| ~ spl75_149 ),
inference(subsumption_resolution,[],[f1978,f1114]) ).
fof(f1114,plain,
( e4 = op(e3,e2)
| ~ spl75_128 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1113,plain,
( spl75_128
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_128])]) ).
fof(f1978,plain,
( e4 != op(e3,e2)
| spl75_114
| ~ spl75_137
| ~ spl75_149 ),
inference(forward_demodulation,[],[f1977,f1161]) ).
fof(f1977,plain,
( e4 != op(op(e0,e4),e2)
| spl75_114
| ~ spl75_149 ),
inference(forward_demodulation,[],[f1058,f1222]) ).
fof(f1222,plain,
( e2 = op(e4,e0)
| ~ spl75_149 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl75_149
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_149])]) ).
fof(f1058,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl75_114 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1056,plain,
( spl75_114
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_114])]) ).
fof(f1975,plain,
( ~ spl75_13
| spl75_110
| ~ spl75_154 ),
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1974,plain,
( $false
| ~ spl75_13
| spl75_110
| ~ spl75_154 ),
inference(subsumption_resolution,[],[f1973,f1248]) ).
fof(f1248,plain,
( e3 = op(e2,e2)
| ~ spl75_154 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl75_154
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_154])]) ).
fof(f1973,plain,
( e3 != op(e2,e2)
| ~ spl75_13
| spl75_110 ),
inference(forward_demodulation,[],[f1042,f628]) ).
fof(f628,plain,
( e2 = op(e3,e3)
| ~ spl75_13 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f627,plain,
( spl75_13
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_13])]) ).
fof(f1042,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl75_110 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1040,plain,
( spl75_110
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_110])]) ).
fof(f1969,plain,
( ~ spl75_32
| spl75_105
| ~ spl75_134
| ~ spl75_179 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| ~ spl75_32
| spl75_105
| ~ spl75_134
| ~ spl75_179 ),
inference(subsumption_resolution,[],[f1967,f1146]) ).
fof(f1146,plain,
( e3 = op(e4,e1)
| ~ spl75_134 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1145,plain,
( spl75_134
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_134])]) ).
fof(f1967,plain,
( e3 != op(e4,e1)
| ~ spl75_32
| spl75_105
| ~ spl75_179 ),
inference(forward_demodulation,[],[f1966,f716]) ).
fof(f716,plain,
( e4 = op(e4,e3)
| ~ spl75_32 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl75_32
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_32])]) ).
fof(f1966,plain,
( e3 != op(op(e4,e3),e1)
| spl75_105
| ~ spl75_179 ),
inference(forward_demodulation,[],[f1022,f1389]) ).
fof(f1389,plain,
( e1 = op(e3,e4)
| ~ spl75_179 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1388,plain,
( spl75_179
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_179])]) ).
fof(f1022,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl75_105 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl75_105
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_105])]) ).
fof(f1963,plain,
( spl75_101
| ~ spl75_177
| ~ spl75_208 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1962,plain,
( $false
| spl75_101
| ~ spl75_177
| ~ spl75_208 ),
inference(subsumption_resolution,[],[f1961,f1593]) ).
fof(f1961,plain,
( e4 != op(e0,e0)
| spl75_101
| ~ spl75_177 ),
inference(forward_demodulation,[],[f1006,f1378]) ).
fof(f1006,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl75_101 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1004,plain,
( spl75_101
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_101])]) ).
fof(f1958,plain,
( ~ spl75_32
| spl75_94
| ~ spl75_134
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1957,plain,
( $false
| ~ spl75_32
| spl75_94
| ~ spl75_134
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1956,f716]) ).
fof(f1956,plain,
( e4 != op(e4,e3)
| spl75_94
| ~ spl75_134
| ~ spl75_222 ),
inference(forward_demodulation,[],[f1955,f1714]) ).
fof(f1714,plain,
( e4 = op(e1,e4)
| ~ spl75_222 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1713,plain,
( spl75_222
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_222])]) ).
fof(f1955,plain,
( e4 != op(op(e1,e4),e3)
| spl75_94
| ~ spl75_134 ),
inference(forward_demodulation,[],[f978,f1146]) ).
fof(f978,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl75_94 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl75_94
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_94])]) ).
fof(f1952,plain,
( ~ spl75_39
| spl75_87
| ~ spl75_152
| ~ spl75_173 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1951,plain,
( $false
| ~ spl75_39
| spl75_87
| ~ spl75_152
| ~ spl75_173 ),
inference(subsumption_resolution,[],[f1950,f1355]) ).
fof(f1950,plain,
( e0 != op(e1,e0)
| ~ spl75_39
| spl75_87
| ~ spl75_152 ),
inference(forward_demodulation,[],[f1949,f750]) ).
fof(f1949,plain,
( e0 != op(op(e2,e0),e0)
| spl75_87
| ~ spl75_152 ),
inference(forward_demodulation,[],[f950,f1237]) ).
fof(f950,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl75_87 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl75_87
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_87])]) ).
fof(f1946,plain,
( spl75_85
| ~ spl75_134
| ~ spl75_179
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1945,plain,
( $false
| spl75_85
| ~ spl75_134
| ~ spl75_179
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1944,f1389]) ).
fof(f1944,plain,
( e1 != op(e3,e4)
| spl75_85
| ~ spl75_134
| ~ spl75_222 ),
inference(forward_demodulation,[],[f1943,f1146]) ).
fof(f1943,plain,
( e1 != op(op(e4,e1),e4)
| spl75_85
| ~ spl75_222 ),
inference(forward_demodulation,[],[f942,f1714]) ).
fof(f942,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl75_85 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl75_85
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_85])]) ).
fof(f1940,plain,
( ~ spl75_32
| spl75_84
| ~ spl75_179
| ~ spl75_222 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1939,plain,
( $false
| ~ spl75_32
| spl75_84
| ~ spl75_179
| ~ spl75_222 ),
inference(subsumption_resolution,[],[f1938,f1714]) ).
fof(f1938,plain,
( e4 != op(e1,e4)
| ~ spl75_32
| spl75_84
| ~ spl75_179 ),
inference(forward_demodulation,[],[f1937,f1389]) ).
fof(f1937,plain,
( e4 != op(op(e3,e4),e4)
| ~ spl75_32
| spl75_84 ),
inference(forward_demodulation,[],[f938,f716]) ).
fof(f938,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl75_84 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl75_84
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_84])]) ).
fof(f1936,plain,
( spl75_82
| ~ spl75_130
| ~ spl75_132
| ~ spl75_215 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1935,plain,
( $false
| spl75_82
| ~ spl75_130
| ~ spl75_132
| ~ spl75_215 ),
inference(subsumption_resolution,[],[f1934,f1638]) ).
fof(f1934,plain,
( e1 != op(e4,e2)
| spl75_82
| ~ spl75_130
| ~ spl75_132 ),
inference(forward_demodulation,[],[f1933,f1126]) ).
fof(f1933,plain,
( e1 != op(op(e2,e1),e2)
| spl75_82
| ~ spl75_132 ),
inference(forward_demodulation,[],[f930,f1136]) ).
fof(f930,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl75_82 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl75_82
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_82])]) ).
fof(f1930,plain,
( ~ spl75_10
| spl75_78
| ~ spl75_171
| ~ spl75_204 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1929,plain,
( $false
| ~ spl75_10
| spl75_78
| ~ spl75_171
| ~ spl75_204 ),
inference(subsumption_resolution,[],[f1928,f1554]) ).
fof(f1928,plain,
( e1 != op(e0,e3)
| ~ spl75_10
| spl75_78
| ~ spl75_171 ),
inference(forward_demodulation,[],[f1927,f1339]) ).
fof(f1927,plain,
( e1 != op(op(e3,e1),e3)
| ~ spl75_10
| spl75_78 ),
inference(forward_demodulation,[],[f914,f614]) ).
fof(f914,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl75_78 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl75_78
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_78])]) ).
fof(f1923,plain,
( ~ spl75_10
| spl75_77
| ~ spl75_159
| ~ spl75_204 ),
inference(avatar_contradiction_clause,[],[f1922]) ).
fof(f1922,plain,
( $false
| ~ spl75_10
| spl75_77
| ~ spl75_159
| ~ spl75_204 ),
inference(subsumption_resolution,[],[f1921,f614]) ).
fof(f1921,plain,
( e3 != op(e1,e3)
| spl75_77
| ~ spl75_159
| ~ spl75_204 ),
inference(forward_demodulation,[],[f1920,f1554]) ).
fof(f1920,plain,
( e3 != op(op(e0,e3),e3)
| spl75_77
| ~ spl75_159 ),
inference(forward_demodulation,[],[f910,f1274]) ).
fof(f910,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl75_77 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl75_77
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_77])]) ).
fof(f1919,plain,
( ~ spl75_13
| spl75_76
| ~ spl75_154 ),
inference(avatar_contradiction_clause,[],[f1918]) ).
fof(f1918,plain,
( $false
| ~ spl75_13
| spl75_76
| ~ spl75_154 ),
inference(subsumption_resolution,[],[f1917,f628]) ).
fof(f1917,plain,
( e2 != op(e3,e3)
| spl75_76
| ~ spl75_154 ),
inference(forward_demodulation,[],[f906,f1248]) ).
fof(f906,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl75_76 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl75_76
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_76])]) ).
fof(f1913,plain,
( spl75_71
| ~ spl75_199 ),
inference(avatar_contradiction_clause,[],[f1912]) ).
fof(f1912,plain,
( $false
| spl75_71
| ~ spl75_199 ),
inference(subsumption_resolution,[],[f1911,f1518]) ).
fof(f1518,plain,
( e1 = op(e1,e1)
| ~ spl75_199 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1517,plain,
( spl75_199
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_199])]) ).
fof(f1911,plain,
( e1 != op(e1,e1)
| spl75_71
| ~ spl75_199 ),
inference(forward_demodulation,[],[f886,f1518]) ).
fof(f886,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl75_71 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl75_71
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_71])]) ).
fof(f1910,plain,
( spl75_68
| ~ spl75_137
| ~ spl75_149
| ~ spl75_220 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1909,plain,
( $false
| spl75_68
| ~ spl75_137
| ~ spl75_149
| ~ spl75_220 ),
inference(subsumption_resolution,[],[f1908,f1685]) ).
fof(f1685,plain,
( e0 = op(e2,e3)
| ~ spl75_220 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1684,plain,
( spl75_220
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_220])]) ).
fof(f1908,plain,
( e0 != op(e2,e3)
| spl75_68
| ~ spl75_137
| ~ spl75_149 ),
inference(forward_demodulation,[],[f1907,f1222]) ).
fof(f1907,plain,
( e0 != op(op(e4,e0),e3)
| spl75_68
| ~ spl75_137 ),
inference(forward_demodulation,[],[f874,f1161]) ).
fof(f874,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl75_68 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f872,plain,
( spl75_68
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_68])]) ).
fof(f1902,plain,
( ~ spl75_39
| spl75_61
| ~ spl75_173
| ~ spl75_197 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1901,plain,
( $false
| ~ spl75_39
| spl75_61
| ~ spl75_173
| ~ spl75_197 ),
inference(subsumption_resolution,[],[f1900,f750]) ).
fof(f1900,plain,
( e1 != op(e2,e0)
| spl75_61
| ~ spl75_173
| ~ spl75_197 ),
inference(forward_demodulation,[],[f1899,f1499]) ).
fof(f1899,plain,
( e1 != op(op(e0,e1),e0)
| spl75_61
| ~ spl75_173 ),
inference(forward_demodulation,[],[f846,f1355]) ).
fof(f846,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl75_61 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl75_61
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_61])]) ).
fof(f1896,plain,
( spl75_54
| ~ spl75_128
| ~ spl75_137
| ~ spl75_220 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| spl75_54
| ~ spl75_128
| ~ spl75_137
| ~ spl75_220 ),
inference(subsumption_resolution,[],[f1894,f1161]) ).
fof(f1894,plain,
( e3 != op(e0,e4)
| spl75_54
| ~ spl75_128
| ~ spl75_220 ),
inference(forward_demodulation,[],[f1893,f1685]) ).
fof(f1893,plain,
( e3 != op(op(e2,e3),e4)
| spl75_54
| ~ spl75_128 ),
inference(forward_demodulation,[],[f818,f1114]) ).
fof(f818,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl75_54 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl75_54
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_54])]) ).
fof(f1892,plain,
( spl75_53
| ~ spl75_128
| ~ spl75_149
| ~ spl75_220 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1891,plain,
( $false
| spl75_53
| ~ spl75_128
| ~ spl75_149
| ~ spl75_220 ),
inference(subsumption_resolution,[],[f1890,f1222]) ).
fof(f1890,plain,
( e2 != op(e4,e0)
| spl75_53
| ~ spl75_128
| ~ spl75_220 ),
inference(forward_demodulation,[],[f1889,f1114]) ).
fof(f1889,plain,
( e2 != op(op(e3,e2),e0)
| spl75_53
| ~ spl75_220 ),
inference(forward_demodulation,[],[f814,f1685]) ).
fof(f814,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl75_53 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl75_53
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_53])]) ).
fof(f1886,plain,
( spl75_51
| ~ spl75_159
| ~ spl75_171
| ~ spl75_204 ),
inference(avatar_contradiction_clause,[],[f1885]) ).
fof(f1885,plain,
( $false
| spl75_51
| ~ spl75_159
| ~ spl75_171
| ~ spl75_204 ),
inference(subsumption_resolution,[],[f1884,f1339]) ).
fof(f1884,plain,
( e0 != op(e3,e1)
| spl75_51
| ~ spl75_159
| ~ spl75_204 ),
inference(forward_demodulation,[],[f1883,f1274]) ).
fof(f1883,plain,
( e0 != op(op(e3,e0),e1)
| spl75_51
| ~ spl75_204 ),
inference(forward_demodulation,[],[f806,f1554]) ).
fof(f806,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl75_51 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl75_51
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_51])]) ).
fof(f1880,plain,
( spl75_65
| ~ spl75_132
| ~ spl75_205
| ~ spl75_215 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1879,plain,
( $false
| spl75_65
| ~ spl75_132
| ~ spl75_205
| ~ spl75_215 ),
inference(subsumption_resolution,[],[f1878,f1136]) ).
fof(f1878,plain,
( e2 != op(e1,e2)
| spl75_65
| ~ spl75_205
| ~ spl75_215 ),
inference(forward_demodulation,[],[f1877,f1638]) ).
fof(f1877,plain,
( e2 != op(op(e4,e2),e2)
| spl75_65
| ~ spl75_205 ),
inference(forward_demodulation,[],[f862,f1559]) ).
fof(f862,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl75_65 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl75_65
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl75_65])]) ).
fof(f1876,plain,
spl75_154,
inference(avatar_split_clause,[],[f180,f1247]) ).
fof(f180,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e4,e4)
& e3 = op(e2,e2)
& e4 = op(e2,e1)
& e1 = op(e4,e2)
& e2 = op(e3,e3)
& e3 = op(e3,e0)
& e4 = op(e3,e2)
& e2 = op(e0,e1)
& e0 = op(e0,e2)
& e3 = op(e0,e4)
& e1 = op(e1,e1)
& e0 = op(e1,e0)
& e4 = op(e0,e0)
& e2 = op(e2,e4)
& e1 = op(e0,e3)
& e4 = op(e4,e3)
& e1 = op(e2,e0)
& e3 = op(e4,e1)
& e2 = op(e4,e0)
& e2 = op(e1,e2)
& e4 = op(e1,e4)
& e0 = op(e3,e1)
& e1 = op(e3,e4)
& e3 = op(e1,e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1875,plain,
spl75_130,
inference(avatar_split_clause,[],[f179,f1125]) ).
fof(f179,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1874,plain,
spl75_215,
inference(avatar_split_clause,[],[f178,f1637]) ).
fof(f178,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1873,plain,
spl75_197,
inference(avatar_split_clause,[],[f174,f1498]) ).
fof(f174,plain,
e2 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1872,plain,
spl75_152,
inference(avatar_split_clause,[],[f173,f1236]) ).
fof(f173,plain,
e0 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1871,plain,
spl75_199,
inference(avatar_split_clause,[],[f171,f1517]) ).
fof(f171,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1870,plain,
spl75_208,
inference(avatar_split_clause,[],[f169,f1592]) ).
fof(f169,plain,
e4 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1869,plain,
spl75_205,
inference(avatar_split_clause,[],[f168,f1558]) ).
fof(f168,plain,
e2 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1868,plain,
spl75_204,
inference(avatar_split_clause,[],[f167,f1553]) ).
fof(f167,plain,
e1 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1867,plain,
spl75_179,
inference(avatar_split_clause,[],[f159,f1388]) ).
fof(f159,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1866,plain,
spl75_222,
inference(avatar_split_clause,[],[f161,f1713]) ).
fof(f161,plain,
e4 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1860,plain,
( ~ spl75_12
| ~ spl75_177 ),
inference(avatar_split_clause,[],[f490,f1377,f622]) ).
fof(f622,plain,
( spl75_12
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_12])]) ).
fof(f490,plain,
( e0 != op(e4,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e0 != op(e4,e3)
& e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e0 != op(e4,e3)
& e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1859,plain,
spl75_220,
inference(avatar_split_clause,[],[f157,f1684]) ).
fof(f157,plain,
e0 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1855,plain,
( ~ spl75_154
| ~ spl75_80 ),
inference(avatar_split_clause,[],[f231,f920,f1247]) ).
fof(f920,plain,
( spl75_80
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_80])]) ).
fof(f231,plain,
( ~ sP67
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f1854,plain,
( ~ spl75_58
| ~ spl75_32 ),
inference(avatar_split_clause,[],[f454,f715,f832]) ).
fof(f832,plain,
( spl75_58
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_58])]) ).
fof(f454,plain,
( e4 != op(e4,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e1 != op(e4,e3)
& e0 != op(e4,e3)
& e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e1 != op(e4,e3)
& e0 != op(e4,e3)
& e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1849,plain,
( ~ spl75_130
| ~ spl75_27 ),
inference(avatar_split_clause,[],[f564,f692,f1125]) ).
fof(f692,plain,
( spl75_27
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_27])]) ).
fof(f564,plain,
( ~ sP0
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1843,plain,
( ~ spl75_154
| ~ spl75_96 ),
inference(avatar_split_clause,[],[f509,f984,f1247]) ).
fof(f984,plain,
( spl75_96
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_96])]) ).
fof(f509,plain,
( ~ sP11
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e3 != op(e3,e2)
& e3 != op(e0,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e4,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e3 != op(e3,e2)
& e3 != op(e0,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e4,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1841,plain,
( ~ spl75_132
| ~ spl75_50 ),
inference(avatar_split_clause,[],[f222,f800,f1135]) ).
fof(f800,plain,
( spl75_50
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_50])]) ).
fof(f222,plain,
( ~ sP68
| e2 != op(e1,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e4)
& e2 != op(e1,e0)
& e2 != op(e1,e2) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e4)
& e2 != op(e1,e0)
& e2 != op(e1,e2) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f1837,plain,
( ~ spl75_159
| ~ spl75_34 ),
inference(avatar_split_clause,[],[f253,f724,f1273]) ).
fof(f724,plain,
( spl75_34
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_34])]) ).
fof(f253,plain,
( ~ sP62
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e4 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e4 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f1830,plain,
( ~ spl75_137
| ~ spl75_73 ),
inference(avatar_split_clause,[],[f313,f892,f1160]) ).
fof(f892,plain,
( spl75_73
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_73])]) ).
fof(f313,plain,
( ~ sP50
| e3 != op(e0,e4) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 != op(e3,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4)
& e3 != op(e2,e4) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e3 != op(e3,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4)
& e3 != op(e2,e4) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f1828,plain,
( ~ spl75_10
| ~ spl75_44 ),
inference(avatar_split_clause,[],[f450,f773,f613]) ).
fof(f773,plain,
( spl75_44
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_44])]) ).
fof(f450,plain,
( ~ sP23
| e3 != op(e1,e3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3)
& e3 != op(e2,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3)
& e3 != op(e2,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1827,plain,
( ~ spl75_15
| ~ spl75_177 ),
inference(avatar_split_clause,[],[f308,f1377,f636]) ).
fof(f636,plain,
( spl75_15
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_15])]) ).
fof(f308,plain,
( e0 != op(e4,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1818,plain,
( spl75_22
| spl75_17
| ~ spl75_84
| spl75_73
| spl75_6
| spl75_118
| spl75_74
| spl75_102
| spl75_79
| spl75_41
| ~ spl75_53
| ~ spl75_105
| spl75_14
| spl75_93
| spl75_88
| spl75_19
| spl75_43
| spl75_69
| ~ spl75_54
| spl75_29
| spl75_52
| ~ spl75_76
| ~ spl75_119
| ~ spl75_125
| spl75_64
| spl75_107
| ~ spl75_101
| spl75_99
| spl75_115
| spl75_27
| spl75_38
| spl75_86
| spl75_30
| spl75_67
| ~ spl75_71
| spl75_15
| spl75_97
| spl75_59
| spl75_66
| spl75_104
| spl75_81
| spl75_58
| spl75_89
| spl75_124
| spl75_96
| spl75_117
| spl75_2
| ~ spl75_114
| spl75_106
| spl75_46
| spl75_70
| spl75_9
| spl75_108
| spl75_92
| ~ spl75_77
| spl75_112
| spl75_72
| ~ spl75_122
| spl75_113
| ~ spl75_57
| ~ spl75_152
| spl75_83
| ~ spl75_94
| spl75_60
| spl75_50
| spl75_123
| spl75_63
| spl75_34
| spl75_44
| ~ spl75_65
| spl75_7
| ~ spl75_120
| spl75_95
| spl75_12
| spl75_25
| spl75_111
| spl75_33
| spl75_55
| spl75_109
| spl75_75
| ~ spl75_126
| spl75_127
| ~ spl75_82
| spl75_121
| ~ spl75_87
| ~ spl75_51
| spl75_116
| spl75_91
| spl75_80
| spl75_48
| spl75_100
| spl75_62
| ~ spl75_61
| ~ spl75_110
| spl75_103
| spl75_90
| spl75_3
| ~ spl75_68
| spl75_98
| ~ spl75_78
| ~ spl75_85 ),
inference(avatar_split_clause,[],[f570,f940,f912,f992,f872,f582,f960,f1012,f1040,f844,f848,f1000,f791,f920,f964,f1064,f804,f948,f1084,f928,f1108,f1104,f900,f1036,f820,f719,f1044,f682,f622,f980,f1080,f600,f860,f773,f724,f852,f1092,f800,f840,f976,f932,f1236,f828,f1052,f1088,f888,f1048,f908,f968,f1032,f609,f880,f782,f1024,f1056,f577,f1068,f984,f1096,f956,f832,f924,f1016,f864,f836,f988,f636,f884,f868,f706,f944,f745,f692,f1060,f996,f1004,f1028,f856,f1100,f1076,f904,f808,f701,f816,f876,f767,f655,f952,f972,f631,f1020,f812,f758,f916,f1008,f896,f1072,f595,f892,f936,f645,f668]) ).
fof(f668,plain,
( spl75_22
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_22])]) ).
fof(f645,plain,
( spl75_17
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_17])]) ).
fof(f595,plain,
( spl75_6
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_6])]) ).
fof(f1072,plain,
( spl75_118
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_118])]) ).
fof(f896,plain,
( spl75_74
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_74])]) ).
fof(f1008,plain,
( spl75_102
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_102])]) ).
fof(f916,plain,
( spl75_79
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_79])]) ).
fof(f758,plain,
( spl75_41
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_41])]) ).
fof(f631,plain,
( spl75_14
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_14])]) ).
fof(f972,plain,
( spl75_93
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_93])]) ).
fof(f952,plain,
( spl75_88
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_88])]) ).
fof(f655,plain,
( spl75_19
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_19])]) ).
fof(f767,plain,
( spl75_43
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_43])]) ).
fof(f876,plain,
( spl75_69
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_69])]) ).
fof(f701,plain,
( spl75_29
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_29])]) ).
fof(f808,plain,
( spl75_52
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_52])]) ).
fof(f856,plain,
( spl75_64
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_64])]) ).
fof(f1028,plain,
( spl75_107
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_107])]) ).
fof(f996,plain,
( spl75_99
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_99])]) ).
fof(f1060,plain,
( spl75_115
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_115])]) ).
fof(f745,plain,
( spl75_38
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_38])]) ).
fof(f944,plain,
( spl75_86
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_86])]) ).
fof(f706,plain,
( spl75_30
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_30])]) ).
fof(f868,plain,
( spl75_67
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_67])]) ).
fof(f988,plain,
( spl75_97
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_97])]) ).
fof(f836,plain,
( spl75_59
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_59])]) ).
fof(f864,plain,
( spl75_66
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_66])]) ).
fof(f1016,plain,
( spl75_104
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_104])]) ).
fof(f924,plain,
( spl75_81
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_81])]) ).
fof(f956,plain,
( spl75_89
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_89])]) ).
fof(f1096,plain,
( spl75_124
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_124])]) ).
fof(f1068,plain,
( spl75_117
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_117])]) ).
fof(f577,plain,
( spl75_2
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_2])]) ).
fof(f1024,plain,
( spl75_106
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_106])]) ).
fof(f782,plain,
( spl75_46
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_46])]) ).
fof(f880,plain,
( spl75_70
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_70])]) ).
fof(f609,plain,
( spl75_9
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_9])]) ).
fof(f1032,plain,
( spl75_108
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_108])]) ).
fof(f968,plain,
( spl75_92
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_92])]) ).
fof(f1048,plain,
( spl75_112
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_112])]) ).
fof(f888,plain,
( spl75_72
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_72])]) ).
fof(f1052,plain,
( spl75_113
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_113])]) ).
fof(f932,plain,
( spl75_83
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_83])]) ).
fof(f840,plain,
( spl75_60
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_60])]) ).
fof(f1092,plain,
( spl75_123
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_123])]) ).
fof(f852,plain,
( spl75_63
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_63])]) ).
fof(f600,plain,
( spl75_7
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_7])]) ).
fof(f980,plain,
( spl75_95
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_95])]) ).
fof(f682,plain,
( spl75_25
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_25])]) ).
fof(f1044,plain,
( spl75_111
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_111])]) ).
fof(f719,plain,
( spl75_33
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_33])]) ).
fof(f820,plain,
( spl75_55
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_55])]) ).
fof(f1036,plain,
( spl75_109
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_109])]) ).
fof(f900,plain,
( spl75_75
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_75])]) ).
fof(f1108,plain,
( spl75_127
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_127])]) ).
fof(f1084,plain,
( spl75_121
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_121])]) ).
fof(f1064,plain,
( spl75_116
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_116])]) ).
fof(f964,plain,
( spl75_91
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_91])]) ).
fof(f791,plain,
( spl75_48
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_48])]) ).
fof(f1000,plain,
( spl75_100
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_100])]) ).
fof(f848,plain,
( spl75_62
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_62])]) ).
fof(f1012,plain,
( spl75_103
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_103])]) ).
fof(f960,plain,
( spl75_90
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_90])]) ).
fof(f582,plain,
( spl75_3
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_3])]) ).
fof(f992,plain,
( spl75_98
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl75_98])]) ).
fof(f570,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| sP49
| e0 != op(op(e4,e0),op(e0,e4))
| sP69
| sP65
| sP53
| e3 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e0,e1),op(e1,e0))
| sP6
| sP40
| sP28
| sP67
| sP27
| sP55
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| sP18
| e1 != op(op(e2,e1),op(e1,e2))
| sP30
| e0 != op(op(e1,e0),op(e0,e1))
| sP70
| sP35
| sP21
| sP33
| sP63
| sP29
| sP15
| sP38
| e4 != op(op(e2,e4),op(e4,e2))
| sP25
| e2 != op(op(e4,e2),op(e2,e4))
| sP23
| sP62
| sP19
| sP57
| sP68
| sP47
| e4 != op(op(e1,e4),op(e4,e1))
| sP31
| e0 != op(e0,e2)
| e3 != op(op(e1,e3),op(e3,e1))
| sP74
| e2 != op(op(e1,e2),op(e2,e1))
| sP54
| sP45
| e3 != op(op(e0,e3),op(e3,e0))
| sP10
| sP14
| sP44
| sP41
| sP56
| sP16
| e4 != op(op(e0,e4),op(e4,e0))
| sP12
| sP3
| sP11
| sP39
| sP26
| sP22
| sP42
| sP73
| sP43
| sP9
| sP64
| sP51
| e1 != op(op(e1,e1),op(e1,e1))
| sP7
| sP1
| sP24
| sP66
| sP0
| sP71
| sP8
| e4 != op(op(e4,e4),op(e4,e4))
| sP5
| sP61
| e2 != op(op(e0,e2),op(e2,e0))
| e0 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e2,e2),op(e2,e2))
| sP2
| sP58
| e3 != op(op(e2,e3),op(e3,e2))
| sP20
| sP34
| sP4
| sP59
| sP37
| sP32
| e3 != op(op(e4,e3),op(e3,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| sP72
| sP36
| sP17
| sP60
| sP46
| sP48
| sP50
| e4 != op(op(e3,e4),op(e4,e3))
| sP52
| sP13 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e0)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| sP74
| sP73
| e3 != op(op(e4,e3),op(e3,e4))
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e0,e0),op(e0,e0))
| e4 != op(op(e4,e4),op(e4,e4))
| sP66
| e0 != op(op(e1,e0),op(e0,e1))
| sP65
| sP64
| e4 != op(op(e0,e4),op(e4,e0))
| sP63
| sP62
| e0 != op(op(e3,e0),op(e0,e3))
| sP61
| sP60
| sP59
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e3,e3),op(e3,e3))
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| e2 != op(op(e4,e2),op(e2,e4))
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| e1 != op(op(e3,e1),op(e1,e3))
| sP36
| sP35
| e4 != op(op(e2,e4),op(e4,e2))
| sP34
| sP33
| e2 != op(op(e2,e2),op(e2,e2))
| sP32
| e0 != op(op(e2,e0),op(e0,e2))
| sP31
| sP30
| e3 != op(op(e0,e3),op(e3,e0))
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| e2 != op(op(e0,e2),op(e2,e0))
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| e2 != op(op(e1,e2),op(e2,e1))
| e4 != op(op(e1,e4),op(e4,e1))
| sP15
| sP14
| sP13
| sP12
| sP11
| e4 != op(op(e3,e4),op(e4,e3))
| sP10
| sP9
| e2 != op(op(e3,e2),op(e2,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e0,e1),op(e1,e0))
| sP8
| e1 != op(op(e4,e1),op(e1,e4))
| sP7
| sP6
| sP5
| sP4
| sP3
| e3 != op(op(e1,e3),op(e3,e1))
| sP2
| sP1
| sP0
| e1 != op(op(e1,e1),op(e1,e1)) ),
inference(definition_folding,[],[f5,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f7,plain,
( ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
( ( e3 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
( ( e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f11,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f12,plain,
( ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f13,plain,
( ( e1 != op(e1,e4)
& e1 != op(e4,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f14,plain,
( ( e2 != op(e1,e1)
& e4 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f15,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1)
& e1 != op(e4,e1)
& e1 != op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f16,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e0,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f19,plain,
( ( e2 != op(e4,e1)
& e2 != op(e4,e4)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f20,plain,
( ( e2 != op(e3,e4)
& e3 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f23,plain,
( ( e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e3,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f24,plain,
( ( e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f25,plain,
( ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f26,plain,
( ( ( e0 = op(e0,e0)
| e1 = op(e0,e1)
| e4 = op(e0,e4)
| e2 = op(e0,e2)
| e3 = op(e0,e3) )
& ( e1 = op(e4,e1)
| e4 = op(e4,e4)
| e3 = op(e4,e3)
| e2 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e4 = op(e1,e4)
| e1 = op(e1,e1)
| e2 = op(e1,e2)
| e0 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e2 = op(e2,e2)
| e1 = op(e2,e1)
| e3 = op(e2,e3)
| e4 = op(e2,e4)
| e0 = op(e2,e0) )
& ( e0 = op(e3,e0)
| e1 = op(e3,e1)
| e3 = op(e3,e3)
| e4 = op(e3,e4)
| e2 = op(e3,e2) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f27,plain,
( ( e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
( ( e4 != op(e1,e2)
& e4 != op(e1,e0)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e1) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f31,plain,
( ( e2 != op(e1,e0)
& e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e4,e0)
& e2 != op(e3,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f32,plain,
( ( e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f33,plain,
( ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f34,plain,
( ( e3 != op(e4,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f35,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f36,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f37,plain,
( ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f38,plain,
( ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f39,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f40,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e1)
& e0 != op(e2,e3)
& e0 != op(e2,e0)
& e0 != op(e2,e2) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f41,plain,
( ( e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f42,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e4)
& e4 != op(e2,e0)
& e4 != op(e2,e1) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f43,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f44,plain,
( ( e4 != op(e4,e2)
& e4 != op(e0,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f45,plain,
( ( e4 != op(e1,e0)
& e4 != op(e0,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f46,plain,
( ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f47,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f48,plain,
( ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f49,plain,
( ( e1 != op(e1,e3)
& e0 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f50,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e2) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f51,plain,
( ( e1 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f52,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f53,plain,
( ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f54,plain,
( ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f55,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e0)
& e0 != op(e3,e4)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f59,plain,
( ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f60,plain,
( ( e4 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f61,plain,
( ( e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e3,e2) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f62,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f63,plain,
( ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f64,plain,
( ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e2 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f65,plain,
( ( e3 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f66,plain,
( ( e0 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f67,plain,
( ( e2 != op(e0,e2)
& e4 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f69,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f70,plain,
( ( e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f71,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e0) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f72,plain,
( ( e1 != op(e1,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e0,e0) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f75,plain,
( ( e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f76,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f77,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e4) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f78,plain,
( ( e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f79,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f80,plain,
( ( e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f5,plain,
( ( e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e0)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ( e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ( e0 != op(e1,e1)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| e3 != op(op(e4,e3),op(e3,e4))
| ( e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3) )
| ( e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e4) )
| ( e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ( e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e4)
& e2 != op(e1,e0)
& e2 != op(e1,e2) )
| ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2) )
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e0,e0),op(e0,e0))
| e4 != op(op(e4,e4),op(e4,e4))
| ( e1 != op(e1,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e0,e0) )
| e0 != op(op(e1,e0),op(e0,e1))
| ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e0) )
| ( e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| e4 != op(op(e0,e4),op(e4,e0))
| ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e4 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0) )
| e0 != op(op(e3,e0),op(e0,e3))
| ( e2 != op(e0,e2)
& e4 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2) )
| ( e0 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ( e3 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0) )
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e3,e3),op(e3,e3))
| ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e2 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2) )
| ( e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e3,e2) )
| ( e4 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3) )
| ( e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3) )
| ( e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4) )
| ( e3 != op(e3,e4)
& e3 != op(e1,e4)
& e3 != op(e4,e4)
& e3 != op(e0,e4)
& e3 != op(e2,e4) )
| ( e0 != op(e3,e3)
& e0 != op(e3,e0)
& e0 != op(e3,e4)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1)
& e4 != op(e4,e1) )
| ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3) )
| ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4) )
| ( e1 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2) )
| e2 != op(op(e4,e2),op(e2,e4))
| ( e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e2) )
| ( e1 != op(e1,e3)
& e0 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ( e4 != op(e1,e0)
& e4 != op(e0,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0) )
| ( e4 != op(e4,e2)
& e4 != op(e0,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| e1 != op(op(e3,e1),op(e1,e3))
| ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e4)
& e4 != op(e2,e0)
& e4 != op(e2,e1) )
| ( e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4) )
| e4 != op(op(e2,e4),op(e4,e2))
| ( e0 != op(e2,e4)
& e0 != op(e2,e1)
& e0 != op(e2,e3)
& e0 != op(e2,e0)
& e0 != op(e2,e2) )
| ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| e2 != op(op(e2,e2),op(e2,e2))
| ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| e0 != op(op(e2,e0),op(e0,e2))
| ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4) )
| ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| e3 != op(op(e0,e3),op(e3,e0))
| ( e2 != op(e2,e0)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e4) )
| ( e3 != op(e4,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ( e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2) )
| ( e2 != op(e1,e0)
& e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e4,e0)
& e2 != op(e3,e0) )
| ( e4 != op(e1,e2)
& e4 != op(e1,e0)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e1) )
| e2 != op(op(e0,e2),op(e2,e0))
| ( e3 != op(e3,e3)
& e3 != op(e1,e3)
& e3 != op(e4,e3)
& e3 != op(e0,e3)
& e3 != op(e2,e3) )
| ( e1 != op(e4,e3)
& e0 != op(e4,e3)
& e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3) )
| ( e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2) )
| ( ( e0 = op(e0,e0)
| e1 = op(e0,e1)
| e4 = op(e0,e4)
| e2 = op(e0,e2)
| e3 = op(e0,e3) )
& ( e1 = op(e4,e1)
| e4 = op(e4,e4)
| e3 = op(e4,e3)
| e2 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e4 = op(e1,e4)
| e1 = op(e1,e1)
| e2 = op(e1,e2)
| e0 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e2 = op(e2,e2)
| e1 = op(e2,e1)
| e3 = op(e2,e3)
| e4 = op(e2,e4)
| e0 = op(e2,e0) )
& ( e0 = op(e3,e0)
| e1 = op(e3,e1)
| e3 = op(e3,e3)
| e4 = op(e3,e4)
| e2 = op(e3,e2) ) )
| ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ( e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e2) )
| ( e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e3,e1) )
| ( e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e3) )
| e2 != op(op(e1,e2),op(e2,e1))
| e4 != op(op(e1,e4),op(e4,e1))
| ( e0 != op(e4,e3)
& e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ( e2 != op(e3,e4)
& e3 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ( e2 != op(e4,e1)
& e2 != op(e4,e4)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e0) )
| ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ( e3 != op(e3,e2)
& e3 != op(e0,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e4,e2) )
| e4 != op(op(e3,e4),op(e4,e3))
| ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e0,e1) )
| ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1)
& e1 != op(e4,e1)
& e1 != op(e1,e1) )
| e2 != op(op(e3,e2),op(e2,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e0,e1),op(e1,e0))
| ( e2 != op(e1,e1)
& e4 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| e1 != op(op(e4,e1),op(e1,e4))
| ( e1 != op(e1,e4)
& e1 != op(e4,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4) )
| ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ( e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| ( e3 != op(e0,e3)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e0) )
| e3 != op(op(e1,e3),op(e3,e1))
| ( e3 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e4 != op(e1,e0) )
| ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3) )
| ( e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1) )
| e1 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ( e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& e0 = op(op(e4,e0),op(e0,e4))
& ( e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e3)
| e4 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1) )
& e0 = op(op(e1,e0),op(e0,e1))
& ( e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e4) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e0)
| e3 = op(e0,e3)
| e3 = op(e0,e4) )
& ( e2 = op(e4,e3)
| e4 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e0,e4)
| e4 = op(e1,e4)
| e4 = op(e4,e4) )
& ( e4 = op(e4,e0)
| e4 = op(e4,e4)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e3) )
& ( e1 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e0 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) )
& ( e1 = op(e1,e0)
| e1 = op(e3,e0)
| e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e4)
| e3 = op(e2,e2) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e4 = op(e3,e1) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,e0)
| e1 = op(e4,e1)
| e1 = op(e4,e3) )
& e4 = op(op(e3,e4),op(e4,e3))
& e2 = op(op(e0,e2),op(e2,e0))
& e3 = op(op(e0,e3),op(e3,e0))
& ( e4 = op(e2,e0)
| e4 = op(e0,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e4)
| e4 = op(e4,e4)
| e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e4) )
& ( e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e0,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e3)
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( ( e0 != op(e2,e0)
& e4 != op(e2,e4)
& e3 != op(e2,e3)
& e1 != op(e2,e1)
& e2 != op(e2,e2) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e2)
& e0 != op(e0,e0)
& e4 != op(e0,e4)
& e1 != op(e0,e1) )
| ( e0 != op(e4,e0)
& e1 != op(e4,e1)
& e4 != op(e4,e4)
& e2 != op(e4,e2)
& e3 != op(e4,e3) )
| ( e4 != op(e1,e4)
& e1 != op(e1,e1)
& e0 != op(e1,e0)
& e3 != op(e1,e3)
& e2 != op(e1,e2) )
| ( e1 != op(e3,e1)
& e4 != op(e3,e4)
& e0 != op(e3,e0)
& e3 != op(e3,e3)
& e2 != op(e3,e2) ) )
& e1 = op(op(e4,e1),op(e1,e4))
& ( e0 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e4 = op(e1,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e4,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) )
& ( e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0) )
& e0 = op(op(e2,e0),op(e0,e2))
& ( e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e4,e1)
| e0 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1)
| e1 = op(e4,e1) )
& ( e0 = op(e3,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e1,e4) )
& ( e2 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& e3 = op(op(e3,e3),op(e3,e3))
& ( e3 = op(e4,e2)
| e4 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2)
| e2 = op(e4,e2) )
& ( e0 = op(e4,e1)
| e0 = op(e4,e4)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e3) )
& ( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3) )
& ( e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e4,e1) )
& e4 = op(op(e2,e4),op(e4,e2))
& ( e4 = op(e3,e4)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e0) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e0)
| e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e1) )
& e0 = op(op(e3,e0),op(e0,e3))
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e4,e3) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e1,e1) )
& e3 = op(op(e4,e3),op(e3,e4))
& ( e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e3)
| e3 = op(e4,e4)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e4,e4) )
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& e1 = op(op(e0,e1),op(e1,e0))
& ( e2 = op(e4,e1)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e0) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e4) )
& ( e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e3 = op(e4,e0)
| e4 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e0,e3)
| e4 = op(e0,e1)
| e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e1)
| e3 = op(e3,e2) )
& ( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e1 = op(e4,e1)
| e1 = op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e4 = op(e2,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(e1,e2) )
& e2 = op(op(e1,e2),op(e2,e1))
& ( e2 = op(e2,e4)
| e1 = op(e2,e4)
| e4 = op(e2,e4)
| e3 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e4)
| e2 = op(e2,e0)
| e2 = op(e2,e1) )
& ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e1,e4)
| e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4) )
& ( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e4 = op(e3,e2) )
& e4 = op(op(e4,e4),op(e4,e4))
& e1 = op(op(e1,e1),op(e1,e1))
& ( e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e4) )
& e2 = op(op(e3,e2),op(e2,e3))
& e1 = op(op(e3,e1),op(e1,e3))
& ( e4 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) )
& e1 = op(op(e2,e1),op(e1,e2))
& ( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e4,e2)
| e2 = op(e2,e2) )
& e3 = op(op(e2,e3),op(e3,e2))
& e4 = op(op(e0,e4),op(e4,e0))
& ( e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e2) )
& e0 = op(op(e0,e0),op(e0,e0))
& ( e1 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0) )
& e2 = op(op(e4,e2),op(e2,e4))
& e4 = op(op(e1,e4),op(e4,e1))
& ( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e1 = op(e0,e2) )
& e3 = op(op(e1,e3),op(e3,e1))
& ( e4 = op(e4,e1)
| e4 = op(e0,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1) )
& ( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3)
| e4 = op(e3,e3)
| e4 = op(e4,e3) )
& ( e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ( e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& e0 = op(op(e4,e0),op(e0,e4))
& ( e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e3)
| e4 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1) )
& e0 = op(op(e1,e0),op(e0,e1))
& ( e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e4) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e0)
| e3 = op(e0,e3)
| e3 = op(e0,e4) )
& ( e2 = op(e4,e3)
| e4 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e0,e4)
| e4 = op(e1,e4)
| e4 = op(e4,e4) )
& ( e4 = op(e4,e0)
| e4 = op(e4,e4)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e3) )
& ( e1 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e0 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) )
& ( e1 = op(e1,e0)
| e1 = op(e3,e0)
| e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e4)
| e3 = op(e2,e2) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e4 = op(e3,e1) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,e0)
| e1 = op(e4,e1)
| e1 = op(e4,e3) )
& e4 = op(op(e3,e4),op(e4,e3))
& e2 = op(op(e0,e2),op(e2,e0))
& e3 = op(op(e0,e3),op(e3,e0))
& ( e4 = op(e2,e0)
| e4 = op(e0,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e4)
| e4 = op(e4,e4)
| e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e4) )
& ( e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e0,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e3)
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( ( e0 != op(e2,e0)
& e4 != op(e2,e4)
& e3 != op(e2,e3)
& e1 != op(e2,e1)
& e2 != op(e2,e2) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e2)
& e0 != op(e0,e0)
& e4 != op(e0,e4)
& e1 != op(e0,e1) )
| ( e0 != op(e4,e0)
& e1 != op(e4,e1)
& e4 != op(e4,e4)
& e2 != op(e4,e2)
& e3 != op(e4,e3) )
| ( e4 != op(e1,e4)
& e1 != op(e1,e1)
& e0 != op(e1,e0)
& e3 != op(e1,e3)
& e2 != op(e1,e2) )
| ( e1 != op(e3,e1)
& e4 != op(e3,e4)
& e0 != op(e3,e0)
& e3 != op(e3,e3)
& e2 != op(e3,e2) ) )
& e1 = op(op(e4,e1),op(e1,e4))
& ( e0 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e4 = op(e1,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e4,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) )
& ( e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0) )
& e0 = op(op(e2,e0),op(e0,e2))
& ( e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e4,e1)
| e0 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1)
| e1 = op(e4,e1) )
& ( e0 = op(e3,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e1,e4) )
& ( e2 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& e3 = op(op(e3,e3),op(e3,e3))
& ( e3 = op(e4,e2)
| e4 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2)
| e2 = op(e4,e2) )
& ( e0 = op(e4,e1)
| e0 = op(e4,e4)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e3) )
& ( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3) )
& ( e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e4,e1) )
& e4 = op(op(e2,e4),op(e4,e2))
& ( e4 = op(e3,e4)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e0) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e0)
| e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e1) )
& e0 = op(op(e3,e0),op(e0,e3))
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e4,e3) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e1,e1) )
& e3 = op(op(e4,e3),op(e3,e4))
& ( e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e3)
| e3 = op(e4,e4)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e4,e4) )
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& e1 = op(op(e0,e1),op(e1,e0))
& ( e2 = op(e4,e1)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e0) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e4) )
& ( e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4) )
& e2 = op(op(e2,e2),op(e2,e2))
& ( e3 = op(e4,e0)
| e4 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e0,e3)
| e4 = op(e0,e1)
| e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e1)
| e3 = op(e3,e2) )
& ( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e1 = op(e4,e1)
| e1 = op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e4 = op(e2,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(e1,e2) )
& e2 = op(op(e1,e2),op(e2,e1))
& ( e2 = op(e2,e4)
| e1 = op(e2,e4)
| e4 = op(e2,e4)
| e3 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e4)
| e2 = op(e2,e0)
| e2 = op(e2,e1) )
& ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e1,e4)
| e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4) )
& ( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e4 = op(e3,e2) )
& e4 = op(op(e4,e4),op(e4,e4))
& e1 = op(op(e1,e1),op(e1,e1))
& ( e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e4) )
& e2 = op(op(e3,e2),op(e2,e3))
& e1 = op(op(e3,e1),op(e1,e3))
& ( e4 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) )
& e1 = op(op(e2,e1),op(e1,e2))
& ( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e4,e2)
| e2 = op(e2,e2) )
& e3 = op(op(e2,e3),op(e3,e2))
& e4 = op(op(e0,e4),op(e4,e0))
& ( e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e2) )
& e0 = op(op(e0,e0),op(e0,e0))
& ( e1 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0) )
& e2 = op(op(e4,e2),op(e2,e4))
& e4 = op(op(e1,e4),op(e4,e1))
& ( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e1 = op(e0,e2) )
& e3 = op(op(e1,e3),op(e3,e1))
& ( e4 = op(e4,e1)
| e4 = op(e0,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1) )
& ( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3)
| e4 = op(e3,e3)
| e4 = op(e4,e3) )
& ( e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| e1 = op(e0,e0)
| e1 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1816,plain,
( ~ spl75_41
| ~ spl75_220 ),
inference(avatar_split_clause,[],[f202,f1684,f758]) ).
fof(f202,plain,
( e0 != op(e2,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e0 != op(e1,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f1810,plain,
spl75_149,
inference(avatar_split_clause,[],[f163,f1221]) ).
fof(f163,plain,
e2 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1809,plain,
spl75_32,
inference(avatar_split_clause,[],[f166,f715]) ).
fof(f166,plain,
e4 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1808,plain,
( ~ spl75_10
| ~ spl75_66 ),
inference(avatar_split_clause,[],[f347,f864,f613]) ).
fof(f347,plain,
( ~ sP43
| e3 != op(e1,e3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e1 != op(e1,e3)
& e0 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f1801,plain,
( ~ spl75_149
| ~ spl75_22 ),
inference(avatar_split_clause,[],[f497,f668,f1221]) ).
fof(f497,plain,
( ~ sP13
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 != op(e4,e1)
& e2 != op(e4,e4)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1795,plain,
( ~ spl75_215
| ~ spl75_113 ),
inference(avatar_split_clause,[],[f194,f1052,f1637]) ).
fof(f194,plain,
( ~ sP74
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP74 ),
inference(nnf_transformation,[],[f80]) ).
fof(f1790,plain,
( ~ spl75_92
| ~ spl75_171 ),
inference(avatar_split_clause,[],[f515,f1338,f968]) ).
fof(f515,plain,
( e0 != op(e3,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e0,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1787,plain,
( ~ spl75_208
| ~ spl75_17 ),
inference(avatar_split_clause,[],[f305,f645,f1592]) ).
fof(f305,plain,
( ~ sP52
| e4 != op(e0,e0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1786,plain,
( ~ spl75_69
| spl75_135
| spl75_225
| spl75_18
| spl75_56
| spl75_165 ),
inference(avatar_split_clause,[],[f466,f1306,f824,f649,f1759,f1150,f876]) ).
fof(f466,plain,
( e3 = op(e0,e3)
| e0 = op(e0,e0)
| e4 = op(e0,e4)
| e2 = op(e0,e2)
| e1 = op(e0,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( ( e0 = op(e0,e0)
| e1 = op(e0,e1)
| e4 = op(e0,e4)
| e2 = op(e0,e2)
| e3 = op(e0,e3) )
& ( e1 = op(e4,e1)
| e4 = op(e4,e4)
| e3 = op(e4,e3)
| e2 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e4 = op(e1,e4)
| e1 = op(e1,e1)
| e2 = op(e1,e2)
| e0 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e2 = op(e2,e2)
| e1 = op(e2,e1)
| e3 = op(e2,e3)
| e4 = op(e2,e4)
| e0 = op(e2,e0) )
& ( e0 = op(e3,e0)
| e1 = op(e3,e1)
| e3 = op(e3,e3)
| e4 = op(e3,e4)
| e2 = op(e3,e2) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1785,plain,
( ~ spl75_204
| ~ spl75_30 ),
inference(avatar_split_clause,[],[f558,f706,f1553]) ).
fof(f558,plain,
( ~ sP1
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f1780,plain,
( ~ spl75_222
| ~ spl75_63 ),
inference(avatar_split_clause,[],[f470,f852,f1713]) ).
fof(f470,plain,
( ~ sP19
| e4 != op(e1,e4) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e3 != op(e1,e4)
& e4 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1778,plain,
( ~ spl75_62
| ~ spl75_205 ),
inference(avatar_split_clause,[],[f533,f1558,f848]) ).
fof(f533,plain,
( e2 != op(e2,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1777,plain,
( ~ spl75_199
| ~ spl75_59 ),
inference(avatar_split_clause,[],[f517,f836,f1517]) ).
fof(f517,plain,
( ~ sP9
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e0,e1)
& e1 != op(e4,e1)
& e1 != op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1773,plain,
( ~ spl75_134
| ~ spl75_121 ),
inference(avatar_split_clause,[],[f473,f1084,f1145]) ).
fof(f473,plain,
( ~ sP18
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e3 != op(e4,e3)
& e3 != op(e4,e0)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1767,plain,
( ~ spl75_134
| ~ spl75_6 ),
inference(avatar_split_clause,[],[f326,f595,f1145]) ).
fof(f326,plain,
( ~ sP48
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1751,plain,
( ~ spl75_86
| ~ spl75_222 ),
inference(avatar_split_clause,[],[f444,f1713,f944]) ).
fof(f444,plain,
( e4 != op(e1,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e4 != op(e1,e2)
& e4 != op(e1,e0)
& e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e1) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1747,plain,
( ~ spl75_52
| ~ spl75_173 ),
inference(avatar_split_clause,[],[f555,f1354,f808]) ).
fof(f555,plain,
( e0 != op(e1,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e3 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1742,plain,
( ~ spl75_64
| ~ spl75_152 ),
inference(avatar_split_clause,[],[f258,f1236,f856]) ).
fof(f258,plain,
( e0 != op(e0,e2)
| ~ sP61 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e2 != op(e0,e2)
& e4 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f1741,plain,
( ~ spl75_124
| ~ spl75_208 ),
inference(avatar_split_clause,[],[f370,f1592,f1096]) ).
fof(f370,plain,
( e4 != op(e0,e0)
| ~ sP39 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e4 != op(e1,e0)
& e4 != op(e0,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e4,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1738,plain,
spl75_173,
inference(avatar_split_clause,[],[f170,f1354]) ).
fof(f170,plain,
e0 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1716,plain,
( ~ spl75_118
| ~ spl75_222 ),
inference(avatar_split_clause,[],[f335,f1713,f1072]) ).
fof(f335,plain,
( e4 != op(e1,e4)
| ~ sP46 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e4,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f1706,plain,
spl75_13,
inference(avatar_split_clause,[],[f177,f627]) ).
fof(f177,plain,
e2 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1705,plain,
( ~ spl75_220
| ~ spl75_43 ),
inference(avatar_split_clause,[],[f394,f767,f1684]) ).
fof(f394,plain,
( ~ sP34
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e1)
& e0 != op(e2,e3)
& e0 != op(e2,e0)
& e0 != op(e2,e2) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1704,plain,
spl75_134,
inference(avatar_split_clause,[],[f164,f1145]) ).
fof(f164,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1703,plain,
( ~ spl75_108
| ~ spl75_179 ),
inference(avatar_split_clause,[],[f492,f1388,f1032]) ).
fof(f492,plain,
( e1 != op(e3,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e2 != op(e3,e4)
& e3 != op(e3,e4)
& e0 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1698,plain,
( ~ spl75_91
| ~ spl75_173 ),
inference(avatar_split_clause,[],[f428,f1354,f964]) ).
fof(f428,plain,
( e0 != op(e1,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1697,plain,
spl75_132,
inference(avatar_split_clause,[],[f162,f1135]) ).
fof(f162,plain,
e2 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1687,plain,
( ~ spl75_220
| ~ spl75_103 ),
inference(avatar_split_clause,[],[f300,f1012,f1684]) ).
fof(f300,plain,
( ~ sP53
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1677,plain,
spl75_177,
inference(avatar_split_clause,[],[f181,f1377]) ).
fof(f181,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1676,plain,
( ~ spl75_115
| ~ spl75_128 ),
inference(avatar_split_clause,[],[f208,f1113,f1060]) ).
fof(f208,plain,
( e4 != op(e3,e2)
| ~ sP71 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e4) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1675,plain,
( ~ spl75_7
| ~ spl75_149 ),
inference(avatar_split_clause,[],[f438,f1221,f600]) ).
fof(f438,plain,
( e2 != op(e4,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e2 != op(e1,e0)
& e2 != op(e0,e0)
& e2 != op(e2,e0)
& e2 != op(e4,e0)
& e2 != op(e3,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1668,plain,
spl75_137,
inference(avatar_split_clause,[],[f172,f1160]) ).
fof(f172,plain,
e3 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1666,plain,
spl75_10,
inference(avatar_split_clause,[],[f158,f613]) ).
fof(f158,plain,
e3 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1662,plain,
( ~ spl75_215
| ~ spl75_116 ),
inference(avatar_split_clause,[],[f291,f1064,f1637]) ).
fof(f291,plain,
( ~ sP55
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e3,e2) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1661,plain,
spl75_171,
inference(avatar_split_clause,[],[f160,f1338]) ).
fof(f160,plain,
e0 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1640,plain,
( ~ spl75_215
| ~ spl75_3 ),
inference(avatar_split_clause,[],[f220,f582,f1637]) ).
fof(f220,plain,
( ~ sP69
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f1630,plain,
( ~ spl75_25
| ~ spl75_205 ),
inference(avatar_split_clause,[],[f417,f1558,f682]) ).
fof(f417,plain,
( e2 != op(e2,e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1595,plain,
( ~ spl75_97
| ~ spl75_208 ),
inference(avatar_split_clause,[],[f242,f1592,f988]) ).
fof(f242,plain,
( e4 != op(e0,e0)
| ~ sP64 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1584,plain,
( ~ spl75_128
| ~ spl75_95 ),
inference(avatar_split_clause,[],[f374,f980,f1113]) ).
fof(f374,plain,
( ~ sP38
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e4 != op(e4,e2)
& e4 != op(e0,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1582,plain,
( ~ spl75_204
| ~ spl75_106 ),
inference(avatar_split_clause,[],[f482,f1024,f1553]) ).
fof(f482,plain,
( ~ sP16
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1574,plain,
spl75_159,
inference(avatar_split_clause,[],[f176,f1273]) ).
fof(f176,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1572,plain,
( ~ spl75_70
| ~ spl75_199 ),
inference(avatar_split_clause,[],[f360,f1517,f880]) ).
fof(f360,plain,
( e1 != op(e1,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1569,plain,
( ~ spl75_98
| ~ spl75_171 ),
inference(avatar_split_clause,[],[f318,f1338,f992]) ).
fof(f318,plain,
( e0 != op(e3,e1)
| ~ sP49 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e0)
& e0 != op(e3,e4)
& e0 != op(e3,e1)
& e0 != op(e3,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1561,plain,
( ~ spl75_83
| ~ spl75_205 ),
inference(avatar_split_clause,[],[f408,f1558,f932]) ).
fof(f408,plain,
( e2 != op(e2,e4)
| ~ sP31 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1556,plain,
( ~ spl75_204
| ~ spl75_60 ),
inference(avatar_split_clause,[],[f328,f840,f1553]) ).
fof(f328,plain,
( ~ sP47
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1520,plain,
( ~ spl75_199
| ~ spl75_99 ),
inference(avatar_split_clause,[],[f522,f996,f1517]) ).
fof(f522,plain,
( ~ sP8
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e2 != op(e1,e1)
& e4 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1511,plain,
( ~ spl75_102
| ~ spl75_197 ),
inference(avatar_split_clause,[],[f480,f1498,f1008]) ).
fof(f480,plain,
( e2 != op(e0,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1503,plain,
( ~ spl75_93
| ~ spl75_197 ),
inference(avatar_split_clause,[],[f380,f1498,f972]) ).
fof(f380,plain,
( e2 != op(e0,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1502,plain,
( ~ spl75_159
| ~ spl75_75 ),
inference(avatar_split_clause,[],[f213,f900,f1273]) ).
fof(f213,plain,
( ~ sP70
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0)
& e3 != op(e3,e3) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1501,plain,
( ~ spl75_100
| ~ spl75_197 ),
inference(avatar_split_clause,[],[f366,f1498,f1000]) ).
fof(f366,plain,
( e2 != op(e0,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1493,plain,
spl75_128,
inference(avatar_split_clause,[],[f175,f1113]) ).
fof(f175,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1450,plain,
( ~ spl75_79
| ~ spl75_130 ),
inference(avatar_split_clause,[],[f382,f1125,f916]) ).
fof(f382,plain,
( e4 != op(e2,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e4)
& e4 != op(e2,e0)
& e4 != op(e2,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1427,plain,
( ~ spl75_46
| ~ spl75_179 ),
inference(avatar_split_clause,[],[f284,f1388,f782]) ).
fof(f284,plain,
( e1 != op(e3,e4)
| ~ sP56 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1411,plain,
( ~ spl75_89
| ~ spl75_132 ),
inference(avatar_split_clause,[],[f435,f1135,f956]) ).
fof(f435,plain,
( e2 != op(e1,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e4,e2)
& e2 != op(e2,e2) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1392,plain,
( ~ spl75_13
| ~ spl75_90 ),
inference(avatar_split_clause,[],[f240,f960,f627]) ).
fof(f240,plain,
( ~ sP65
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e0) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1391,plain,
( ~ spl75_67
| ~ spl75_179 ),
inference(avatar_split_clause,[],[f528,f1388,f868]) ).
fof(f528,plain,
( e1 != op(e3,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e1 != op(e1,e4)
& e1 != op(e4,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1380,plain,
( ~ spl75_109
| ~ spl75_177 ),
inference(avatar_split_clause,[],[f389,f1377,f1036]) ).
fof(f389,plain,
( e0 != op(e4,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1357,plain,
( ~ spl75_173
| ~ spl75_104 ),
inference(avatar_split_clause,[],[f197,f1016,f1354]) ).
fof(f197,plain,
( ~ sP73
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e4)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1341,plain,
( ~ spl75_29
| ~ spl75_171 ),
inference(avatar_split_clause,[],[f272,f1338,f701]) ).
fof(f272,plain,
( e0 != op(e3,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e2 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1325,plain,
( ~ spl75_137
| ~ spl75_117 ),
inference(avatar_split_clause,[],[f550,f1068,f1160]) ).
fof(f550,plain,
( ~ sP3
| e3 != op(e0,e4) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1276,plain,
( ~ spl75_48
| ~ spl75_159 ),
inference(avatar_split_clause,[],[f422,f1273,f791]) ).
fof(f422,plain,
( e3 != op(e3,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e3 != op(e4,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1250,plain,
( ~ spl75_111
| ~ spl75_154 ),
inference(avatar_split_clause,[],[f250,f1247,f1044]) ).
fof(f250,plain,
( e3 != op(e2,e2)
| ~ sP63 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1240,plain,
( ~ spl75_32
| ~ spl75_127 ),
inference(avatar_split_clause,[],[f413,f1108,f715]) ).
fof(f413,plain,
( ~ sP30
| e4 != op(e4,e3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1239,plain,
( ~ spl75_152
| ~ spl75_55 ),
inference(avatar_split_clause,[],[f460,f820,f1236]) ).
fof(f460,plain,
( ~ sP21
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1224,plain,
( ~ spl75_149
| ~ spl75_81 ),
inference(avatar_split_clause,[],[f354,f924,f1221]) ).
fof(f354,plain,
( ~ sP42
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1189,plain,
( ~ spl75_39
| ~ spl75_107 ),
inference(avatar_split_clause,[],[f540,f1028,f749]) ).
fof(f540,plain,
( ~ sP5
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1163,plain,
( ~ spl75_2
| ~ spl75_137 ),
inference(avatar_split_clause,[],[f505,f1160,f577]) ).
fof(f505,plain,
( e3 != op(e0,e4)
| ~ sP12 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1148,plain,
( ~ spl75_19
| ~ spl75_134 ),
inference(avatar_split_clause,[],[f543,f1145,f655]) ).
fof(f543,plain,
( e3 != op(e4,e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1)
& e3 != op(e3,e1) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1138,plain,
( ~ spl75_112
| ~ spl75_132 ),
inference(avatar_split_clause,[],[f339,f1135,f1048]) ).
fof(f339,plain,
( e2 != op(e1,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e1 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e4 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f1128,plain,
( ~ spl75_74
| ~ spl75_130 ),
inference(avatar_split_clause,[],[f264,f1125,f896]) ).
fof(f264,plain,
( e4 != op(e2,e1)
| ~ sP60 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e0 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1123,plain,
( ~ spl75_88
| ~ spl75_39 ),
inference(avatar_split_clause,[],[f268,f749,f952]) ).
fof(f268,plain,
( e1 != op(e2,e0)
| ~ sP59 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1117,plain,
( ~ spl75_72
| ~ spl75_13 ),
inference(avatar_split_clause,[],[f293,f627,f888]) ).
fof(f293,plain,
( e2 != op(e3,e3)
| ~ sP54 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e4 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1116,plain,
( ~ spl75_128
| ~ spl75_123 ),
inference(avatar_split_clause,[],[f281,f1092,f1113]) ).
fof(f281,plain,
( ~ sP57
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f771,plain,
spl75_39,
inference(avatar_split_clause,[],[f165,f749]) ).
fof(f165,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f752,plain,
( ~ spl75_38
| ~ spl75_39 ),
inference(avatar_split_clause,[],[f233,f749,f745]) ).
fof(f233,plain,
( e1 != op(e2,e0)
| ~ sP66 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e1 != op(e1,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e0,e0) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f722,plain,
( ~ spl75_32
| ~ spl75_33 ),
inference(avatar_split_clause,[],[f397,f719,f715]) ).
fof(f397,plain,
( ~ sP33
| e4 != op(e4,e3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f634,plain,
( ~ spl75_13
| ~ spl75_14 ),
inference(avatar_split_clause,[],[f404,f631,f627]) ).
fof(f404,plain,
( ~ sP32
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e4,e3) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f616,plain,
( ~ spl75_9
| ~ spl75_10 ),
inference(avatar_split_clause,[],[f344,f613,f609]) ).
fof(f344,plain,
( e3 != op(e1,e3)
| ~ sP44 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e2) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG187+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:01:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (23310)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)
% 0.20/0.51 % (23312)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)
% 0.20/0.51 % (23326)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)
% 0.20/0.51 % (23328)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (23308)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)
% 0.20/0.52 % (23318)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)
% 0.20/0.52 % (23313)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)
% 0.20/0.52 % (23320)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (23330)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)
% 0.20/0.52 % (23322)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)
% 0.20/0.53 % (23325)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (23314)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (23333)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)
% 0.20/0.53 % (23331)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (23334)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)
% 0.20/0.54 % (23307)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)
% 0.20/0.54 % (23321)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)
% 1.44/0.54 % (23332)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.44/0.54 % (23324)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.54 % (23309)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)
% 1.44/0.54 % (23314)Instruction limit reached!
% 1.44/0.54 % (23314)------------------------------
% 1.44/0.54 % (23314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (23314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (23314)Termination reason: Unknown
% 1.44/0.54 % (23314)Termination phase: Property scanning
% 1.44/0.54
% 1.44/0.54 % (23314)Memory used [KB]: 1151
% 1.44/0.54 % (23314)Time elapsed: 0.007 s
% 1.44/0.54 % (23314)Instructions burned: 7 (million)
% 1.44/0.54 % (23314)------------------------------
% 1.44/0.54 % (23314)------------------------------
% 1.44/0.54 % (23329)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)
% 1.44/0.55 % (23323)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)
% 1.44/0.55 % (23335)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.55 % (23315)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.55 % (23315)Instruction limit reached!
% 1.44/0.55 % (23315)------------------------------
% 1.44/0.55 % (23315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (23315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (23315)Termination reason: Unknown
% 1.44/0.55 % (23315)Termination phase: shuffling
% 1.44/0.55
% 1.44/0.55 % (23315)Memory used [KB]: 895
% 1.44/0.55 % (23315)Time elapsed: 0.003 s
% 1.44/0.55 % (23315)Instructions burned: 2 (million)
% 1.44/0.55 % (23315)------------------------------
% 1.44/0.55 % (23315)------------------------------
% 1.44/0.55 % (23316)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)
% 1.44/0.55 TRYING [5]
% 1.54/0.56 % (23312)First to succeed.
% 1.54/0.56 % (23317)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.57 % (23312)Refutation found. Thanks to Tanya!
% 1.54/0.57 % SZS status Theorem for theBenchmark
% 1.54/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57 % (23312)------------------------------
% 1.54/0.57 % (23312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (23312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (23312)Termination reason: Refutation
% 1.54/0.57
% 1.54/0.57 % (23312)Memory used [KB]: 7036
% 1.54/0.57 % (23312)Time elapsed: 0.145 s
% 1.54/0.57 % (23312)Instructions burned: 28 (million)
% 1.54/0.57 % (23312)------------------------------
% 1.54/0.57 % (23312)------------------------------
% 1.54/0.57 % (23301)Success in time 0.221 s
%------------------------------------------------------------------------------