TSTP Solution File: ALG091+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG091+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:33 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 246
% Syntax : Number of formulae : 748 ( 82 unt; 0 def)
% Number of atoms : 4011 (2550 equ)
% Maximal formula atoms : 440 ( 5 avg)
% Number of connectives : 5390 (2127 ~;1882 |;1237 &)
% ( 144 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 244 ( 242 usr; 243 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2410,plain,
$false,
inference(avatar_sat_refutation,[],[f959,f968,f1009,f1018,f1027,f1096,f1110,f1111,f1140,f1145,f1168,f1196,f1206,f1235,f1236,f1288,f1297,f1339,f1363,f1410,f1443,f1448,f1457,f1488,f1489,f1512,f1521,f1541,f1542,f1575,f1580,f1599,f1604,f1622,f1749,f1754,f1755,f1756,f1767,f1778,f1790,f1792,f1798,f1806,f1808,f1817,f1824,f1825,f1845,f1858,f1865,f1886,f1907,f1910,f1919,f1956,f1958,f1960,f1965,f1966,f1967,f1968,f1975,f1990,f2004,f2007,f2008,f2009,f2010,f2015,f2020,f2022,f2036,f2052,f2065,f2069,f2070,f2095,f2096,f2097,f2100,f2104,f2109,f2115,f2116,f2121,f2122,f2123,f2124,f2127,f2129,f2132,f2134,f2140,f2141,f2149,f2154,f2161,f2163,f2164,f2166,f2174,f2179,f2184,f2189,f2200,f2204,f2206,f2210,f2214,f2221,f2222,f2223,f2225,f2227,f2245,f2249,f2250,f2253,f2254,f2257,f2263,f2264,f2268,f2271,f2272,f2276,f2278,f2279,f2282,f2285,f2287,f2290,f2295,f2298,f2301,f2304,f2306,f2309,f2372,f2378,f2394,f2397,f2400,f2405,f2409]) ).
fof(f2409,plain,
( spl98_32
| ~ spl98_107
| ~ spl98_214 ),
inference(avatar_split_clause,[],[f2408,f1998,f1403,f1047]) ).
fof(f1047,plain,
( spl98_32
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_32])]) ).
fof(f1403,plain,
( spl98_107
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_107])]) ).
fof(f1998,plain,
( spl98_214
<=> e4 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_214])]) ).
fof(f2408,plain,
( e4 = unit
| ~ spl98_107
| ~ spl98_214 ),
inference(backward_demodulation,[],[f1404,f1999]) ).
fof(f1999,plain,
( e4 = op(unit,unit)
| ~ spl98_214 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f1404,plain,
( unit = op(unit,unit)
| ~ spl98_107 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f2405,plain,
( spl98_222
| ~ spl98_107
| ~ spl98_184 ),
inference(avatar_split_clause,[],[f2404,f1758,f1403,f2092]) ).
fof(f2092,plain,
( spl98_222
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_222])]) ).
fof(f1758,plain,
( spl98_184
<=> e1 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_184])]) ).
fof(f2404,plain,
( e1 = unit
| ~ spl98_107
| ~ spl98_184 ),
inference(backward_demodulation,[],[f1404,f1759]) ).
fof(f1759,plain,
( e1 = op(unit,unit)
| ~ spl98_184 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f2400,plain,
( spl98_127
| ~ spl98_62
| ~ spl98_183 ),
inference(avatar_split_clause,[],[f2398,f1751,f1189,f1500]) ).
fof(f1500,plain,
( spl98_127
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_127])]) ).
fof(f1189,plain,
( spl98_62
<=> op(e4,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_62])]) ).
fof(f1751,plain,
( spl98_183
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_183])]) ).
fof(f2398,plain,
( e2 = unit
| ~ spl98_62
| ~ spl98_183 ),
inference(backward_demodulation,[],[f1190,f1753]) ).
fof(f1753,plain,
( e2 = op(e4,e4)
| ~ spl98_183 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1190,plain,
( op(e4,e4) = unit
| ~ spl98_62 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f2397,plain,
( spl98_32
| ~ spl98_47
| ~ spl98_122 ),
inference(avatar_split_clause,[],[f2396,f1474,f1117,f1047]) ).
fof(f1117,plain,
( spl98_47
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_47])]) ).
fof(f1474,plain,
( spl98_122
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_122])]) ).
fof(f2396,plain,
( e4 = unit
| ~ spl98_47
| ~ spl98_122 ),
inference(backward_demodulation,[],[f1119,f1475]) ).
fof(f1475,plain,
( e4 = op(e1,e1)
| ~ spl98_122 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1119,plain,
( op(e1,e1) = unit
| ~ spl98_47 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f2394,plain,
( spl98_127
| ~ spl98_47
| ~ spl98_169 ),
inference(avatar_split_clause,[],[f2393,f1693,f1117,f1500]) ).
fof(f1693,plain,
( spl98_169
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_169])]) ).
fof(f2393,plain,
( e2 = unit
| ~ spl98_47
| ~ spl98_169 ),
inference(forward_demodulation,[],[f1119,f1695]) ).
fof(f1695,plain,
( e2 = op(e1,e1)
| ~ spl98_169 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f2378,plain,
( ~ spl98_21
| ~ spl98_12
| spl98_137
| ~ spl98_147
| ~ spl98_180
| ~ spl98_222 ),
inference(avatar_split_clause,[],[f2377,f2092,f1737,f1596,f1548,f956,f997]) ).
fof(f997,plain,
( spl98_21
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_21])]) ).
fof(f956,plain,
( spl98_12
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_12])]) ).
fof(f1548,plain,
( spl98_137
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_137])]) ).
fof(f1596,plain,
( spl98_147
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_147])]) ).
fof(f1737,plain,
( spl98_180
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_180])]) ).
fof(f2377,plain,
( e2 != op(e2,e2)
| ~ spl98_12
| spl98_137
| ~ spl98_147
| ~ spl98_180
| ~ spl98_222 ),
inference(forward_demodulation,[],[f2343,f2352]) ).
fof(f2352,plain,
( e2 = e3
| ~ spl98_12
| ~ spl98_147
| ~ spl98_180
| ~ spl98_222 ),
inference(forward_demodulation,[],[f2334,f1597]) ).
fof(f1597,plain,
( e2 = op(e3,e1)
| ~ spl98_147 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f2334,plain,
( e3 = op(e3,e1)
| ~ spl98_12
| ~ spl98_180
| ~ spl98_222 ),
inference(backward_demodulation,[],[f957,f2333]) ).
fof(f2333,plain,
( e3 = e4
| ~ spl98_12
| ~ spl98_180
| ~ spl98_222 ),
inference(forward_demodulation,[],[f2326,f957]) ).
fof(f2326,plain,
( e4 = op(e4,e1)
| ~ spl98_180
| ~ spl98_222 ),
inference(backward_demodulation,[],[f1738,f2094]) ).
fof(f2094,plain,
( e1 = unit
| ~ spl98_222 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f1738,plain,
( e4 = op(e4,unit)
| ~ spl98_180 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f957,plain,
( e3 = op(e4,e1)
| ~ spl98_12 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f2343,plain,
( e3 != op(e2,e2)
| ~ spl98_12
| spl98_137
| ~ spl98_180
| ~ spl98_222 ),
inference(backward_demodulation,[],[f1550,f2333]) ).
fof(f1550,plain,
( e4 != op(e2,e2)
| spl98_137 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f2372,plain,
( spl98_21
| ~ spl98_12
| ~ spl98_45
| ~ spl98_147
| ~ spl98_180
| ~ spl98_222 ),
inference(avatar_split_clause,[],[f2371,f2092,f1737,f1596,f1107,f956,f997]) ).
fof(f1107,plain,
( spl98_45
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_45])]) ).
fof(f2371,plain,
( e2 = op(e2,e2)
| ~ spl98_12
| ~ spl98_45
| ~ spl98_147
| ~ spl98_180
| ~ spl98_222 ),
inference(forward_demodulation,[],[f2337,f2352]) ).
fof(f2337,plain,
( e2 = op(e3,e3)
| ~ spl98_12
| ~ spl98_45
| ~ spl98_180
| ~ spl98_222 ),
inference(backward_demodulation,[],[f1108,f2333]) ).
fof(f1108,plain,
( e2 = op(e4,e3)
| ~ spl98_45 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f2309,plain,
( spl98_222
| ~ spl98_62
| ~ spl98_75 ),
inference(avatar_split_clause,[],[f2307,f1252,f1189,f2092]) ).
fof(f1252,plain,
( spl98_75
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_75])]) ).
fof(f2307,plain,
( e1 = unit
| ~ spl98_62
| ~ spl98_75 ),
inference(backward_demodulation,[],[f1190,f1253]) ).
fof(f1253,plain,
( e1 = op(e4,e4)
| ~ spl98_75 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f2306,plain,
( spl98_32
| ~ spl98_115
| ~ spl98_137 ),
inference(avatar_split_clause,[],[f2305,f1548,f1440,f1047]) ).
fof(f1440,plain,
( spl98_115
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_115])]) ).
fof(f2305,plain,
( e4 = unit
| ~ spl98_115
| ~ spl98_137 ),
inference(backward_demodulation,[],[f1441,f1549]) ).
fof(f1549,plain,
( e4 = op(e2,e2)
| ~ spl98_137 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1441,plain,
( op(e2,e2) = unit
| ~ spl98_115 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f2304,plain,
( spl98_222
| ~ spl98_17
| ~ spl98_115 ),
inference(avatar_split_clause,[],[f2302,f1440,f979,f2092]) ).
fof(f979,plain,
( spl98_17
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_17])]) ).
fof(f2302,plain,
( e1 = unit
| ~ spl98_17
| ~ spl98_115 ),
inference(backward_demodulation,[],[f1441,f980]) ).
fof(f980,plain,
( e1 = op(e2,e2)
| ~ spl98_17 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f2301,plain,
( spl98_210
| ~ spl98_131 ),
inference(avatar_split_clause,[],[f2299,f1518,f1971]) ).
fof(f1971,plain,
( spl98_210
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_210])]) ).
fof(f1518,plain,
( spl98_131
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_131])]) ).
fof(f2299,plain,
( e3 = unit
| ~ spl98_131 ),
inference(backward_demodulation,[],[f892,f1520]) ).
fof(f1520,plain,
( e3 = op(e3,e3)
| ~ spl98_131 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f892,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f640,f636]) ).
fof(f636,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f640,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(e3,e4)
& e0 = op(e4,e4)
& e4 = op(e4,e0)
& e1 = op(e4,e2)
& e3 = op(e4,e1)
& e4 = op(e3,e2)
& e4 = op(e2,e1)
& e0 = op(e0,e0)
& e4 = op(e0,e4)
& e2 = op(e2,e0)
& e3 = op(e3,e0)
& e2 = op(e4,e3)
& e0 = op(e1,e1)
& e2 = op(e0,e2)
& e1 = op(e2,e3)
& e3 = op(e0,e3)
& e0 = op(e2,e2)
& e3 = op(e2,e4)
& e1 = op(e0,e1)
& e1 = op(e1,e0)
& e3 = op(e1,e2)
& e0 = op(e3,e3)
& e2 = op(e3,e1)
& e4 = op(e1,e3)
& e2 = op(e1,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2298,plain,
( spl98_210
| ~ spl98_62
| ~ spl98_83 ),
inference(avatar_split_clause,[],[f2297,f1290,f1189,f1971]) ).
fof(f1290,plain,
( spl98_83
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_83])]) ).
fof(f2297,plain,
( e3 = unit
| ~ spl98_62
| ~ spl98_83 ),
inference(backward_demodulation,[],[f1190,f1292]) ).
fof(f1292,plain,
( e3 = op(e4,e4)
| ~ spl98_83 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f2295,plain,
( spl98_127
| ~ spl98_56
| ~ spl98_107 ),
inference(avatar_split_clause,[],[f2294,f1403,f1161,f1500]) ).
fof(f1161,plain,
( spl98_56
<=> e2 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_56])]) ).
fof(f2294,plain,
( e2 = unit
| ~ spl98_56
| ~ spl98_107 ),
inference(forward_demodulation,[],[f1404,f1163]) ).
fof(f1163,plain,
( e2 = op(unit,unit)
| ~ spl98_56 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f2290,plain,
( spl98_210
| ~ spl98_28
| ~ spl98_107 ),
inference(avatar_split_clause,[],[f2289,f1403,f1029,f1971]) ).
fof(f1029,plain,
( spl98_28
<=> e3 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_28])]) ).
fof(f2289,plain,
( e3 = unit
| ~ spl98_28
| ~ spl98_107 ),
inference(backward_demodulation,[],[f1404,f1030]) ).
fof(f1030,plain,
( e3 = op(unit,unit)
| ~ spl98_28 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f2287,plain,
( spl98_32
| ~ spl98_25 ),
inference(avatar_split_clause,[],[f2286,f1015,f1047]) ).
fof(f1015,plain,
( spl98_25
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_25])]) ).
fof(f2286,plain,
( e4 = unit
| ~ spl98_25 ),
inference(backward_demodulation,[],[f892,f1017]) ).
fof(f1017,plain,
( e4 = op(e3,e3)
| ~ spl98_25 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f2285,plain,
( spl98_210
| ~ spl98_22
| ~ spl98_47 ),
inference(avatar_split_clause,[],[f2284,f1117,f1002,f1971]) ).
fof(f1002,plain,
( spl98_22
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_22])]) ).
fof(f2284,plain,
( e3 = unit
| ~ spl98_22
| ~ spl98_47 ),
inference(backward_demodulation,[],[f1119,f1004]) ).
fof(f1004,plain,
( e3 = op(e1,e1)
| ~ spl98_22 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f2282,plain,
( spl98_210
| ~ spl98_9
| ~ spl98_115 ),
inference(avatar_split_clause,[],[f2281,f1440,f943,f1971]) ).
fof(f943,plain,
( spl98_9
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_9])]) ).
fof(f2281,plain,
( e3 = unit
| ~ spl98_9
| ~ spl98_115 ),
inference(forward_demodulation,[],[f1441,f944]) ).
fof(f944,plain,
( e3 = op(e2,e2)
| ~ spl98_9 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f2279,plain,
( ~ spl98_117
| ~ spl98_153 ),
inference(avatar_split_clause,[],[f686,f1629,f1450]) ).
fof(f1450,plain,
( spl98_117
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_117])]) ).
fof(f1629,plain,
( spl98_153
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_153])]) ).
fof(f686,plain,
( ~ sP82
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f235,f636]) ).
fof(f235,plain,
( e3 != op(e3,e0)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f2278,plain,
( ~ spl98_176
| ~ spl98_107 ),
inference(avatar_split_clause,[],[f673,f1403,f1721]) ).
fof(f1721,plain,
( spl98_176
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_176])]) ).
fof(f673,plain,
( unit != op(unit,unit)
| ~ sP92 ),
inference(definition_unfolding,[],[f214,f636,f636,f636]) ).
fof(f214,plain,
( e0 != op(e0,e0)
| ~ sP92 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP92 ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f2276,plain,
( ~ spl98_42
| ~ spl98_36 ),
inference(avatar_split_clause,[],[f377,f1065,f1093]) ).
fof(f1093,plain,
( spl98_42
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_42])]) ).
fof(f1065,plain,
( spl98_36
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_36])]) ).
fof(f377,plain,
( ~ sP50
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e4)
& e4 != op(e3,e0) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e4)
& e4 != op(e3,e0) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f2272,plain,
( ~ spl98_156
| ~ spl98_165 ),
inference(avatar_split_clause,[],[f841,f1677,f1641]) ).
fof(f1641,plain,
( spl98_156
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_156])]) ).
fof(f1677,plain,
( spl98_165
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_165])]) ).
fof(f841,plain,
( e4 != op(unit,e4)
| ~ sP8 ),
inference(definition_unfolding,[],[f585,f636]) ).
fof(f585,plain,
( e4 != op(e0,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e4 != op(e0,e3)
& e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2271,plain,
( ~ spl98_107
| ~ spl98_94 ),
inference(avatar_split_clause,[],[f777,f1341,f1403]) ).
fof(f1341,plain,
( spl98_94
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_94])]) ).
fof(f777,plain,
( ~ sP34
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f453,f636,f636,f636]) ).
fof(f453,plain,
( e0 != op(e0,e0)
| ~ sP34 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e4)
& e0 != op(e0,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e4)
& e0 != op(e0,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f2268,plain,
( ~ spl98_154
| ~ spl98_225 ),
inference(avatar_split_clause,[],[f540,f2176,f1633]) ).
fof(f1633,plain,
( spl98_154
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_154])]) ).
fof(f2176,plain,
( spl98_225
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_225])]) ).
fof(f540,plain,
( e3 != op(e2,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e3)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e3)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2264,plain,
spl98_129,
inference(avatar_split_clause,[],[f887,f1509]) ).
fof(f1509,plain,
( spl98_129
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_129])]) ).
fof(f887,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f648,f636]) ).
fof(f648,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2263,plain,
( ~ spl98_12
| ~ spl98_178 ),
inference(avatar_split_clause,[],[f253,f1729,f956]) ).
fof(f1729,plain,
( spl98_178
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_178])]) ).
fof(f253,plain,
( ~ sP74
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f2257,plain,
( ~ spl98_162
| ~ spl98_43 ),
inference(avatar_split_clause,[],[f832,f1098,f1665]) ).
fof(f1665,plain,
( spl98_162
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_162])]) ).
fof(f1098,plain,
( spl98_43
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_43])]) ).
fof(f832,plain,
( ~ sP12
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f566,f636]) ).
fof(f566,plain,
( e1 != op(e1,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2254,plain,
( ~ spl98_155
| ~ spl98_192 ),
inference(avatar_split_clause,[],[f490,f1821,f1637]) ).
fof(f1637,plain,
( spl98_155
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_155])]) ).
fof(f1821,plain,
( spl98_192
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_192])]) ).
fof(f490,plain,
( e4 != op(e2,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f2253,plain,
( ~ spl98_162
| ~ spl98_69 ),
inference(avatar_split_clause,[],[f704,f1222,f1665]) ).
fof(f1222,plain,
( spl98_69
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_69])]) ).
fof(f704,plain,
( ~ sP67
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f289,f636]) ).
fof(f289,plain,
( e1 != op(e1,e0)
| ~ sP67 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e1 != op(e1,e1)
& e1 != op(e1,e4)
& e1 != op(e1,e2)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e1 != op(e1,e1)
& e1 != op(e1,e4)
& e1 != op(e1,e2)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f2250,plain,
( ~ spl98_225
| ~ spl98_146 ),
inference(avatar_split_clause,[],[f317,f1591,f2176]) ).
fof(f1591,plain,
( spl98_146
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_146])]) ).
fof(f317,plain,
( ~ sP62
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e3 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e3 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f2249,plain,
~ spl98_166,
inference(avatar_split_clause,[],[f2248,f1681]) ).
fof(f1681,plain,
( spl98_166
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_166])]) ).
fof(f2248,plain,
~ sP71,
inference(trivial_inequality_removal,[],[f2247]) ).
fof(f2247,plain,
( ~ sP71
| unit != unit ),
inference(forward_demodulation,[],[f697,f892]) ).
fof(f697,plain,
( ~ sP71
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f271,f636]) ).
fof(f271,plain,
( e0 != op(e3,e3)
| ~ sP71 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e3)
& e0 != op(e3,e4)
& e0 != op(e3,e2)
& e0 != op(e3,e0) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e3)
& e0 != op(e3,e4)
& e0 != op(e3,e2)
& e0 != op(e3,e0) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f2245,plain,
spl98_107,
inference(avatar_split_clause,[],[f882,f1403]) ).
fof(f882,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f654,f636,f636,f636]) ).
fof(f654,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2227,plain,
( ~ spl98_109
| ~ spl98_170 ),
inference(avatar_split_clause,[],[f715,f1697,f1412]) ).
fof(f1412,plain,
( spl98_109
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_109])]) ).
fof(f1697,plain,
( spl98_170
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_170])]) ).
fof(f715,plain,
( e2 != op(e2,unit)
| ~ sP60 ),
inference(definition_unfolding,[],[f327,f636]) ).
fof(f327,plain,
( e2 != op(e2,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e3)
& e2 != op(e2,e4)
& e2 != op(e2,e2) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e3)
& e2 != op(e2,e4)
& e2 != op(e2,e2) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f2225,plain,
spl98_147,
inference(avatar_split_clause,[],[f639,f1596]) ).
fof(f639,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2223,plain,
( ~ spl98_80
| ~ spl98_223 ),
inference(avatar_split_clause,[],[f627,f2106,f1276]) ).
fof(f1276,plain,
( spl98_80
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_80])]) ).
fof(f2106,plain,
( spl98_223
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_223])]) ).
fof(f627,plain,
( e4 != op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e4 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( e4 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2222,plain,
spl98_143,
inference(avatar_split_clause,[],[f647,f1577]) ).
fof(f1577,plain,
( spl98_143
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_143])]) ).
fof(f647,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2221,plain,
( ~ spl98_180
| ~ spl98_152 ),
inference(avatar_split_clause,[],[f795,f1625,f1737]) ).
fof(f1625,plain,
( spl98_152
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_152])]) ).
fof(f795,plain,
( ~ sP28
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f487,f636]) ).
fof(f487,plain,
( e4 != op(e4,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f2214,plain,
spl98_82,
inference(avatar_split_clause,[],[f661,f1285]) ).
fof(f1285,plain,
( spl98_82
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_82])]) ).
fof(f661,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2210,plain,
( ~ spl98_170
| ~ spl98_179 ),
inference(avatar_split_clause,[],[f678,f1733,f1697]) ).
fof(f1733,plain,
( spl98_179
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_179])]) ).
fof(f678,plain,
( ~ sP88
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f223,f636]) ).
fof(f223,plain,
( e2 != op(e2,e0)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP88 ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f2206,plain,
( ~ spl98_223
| ~ spl98_49 ),
inference(avatar_split_clause,[],[f412,f1127,f2106]) ).
fof(f1127,plain,
( spl98_49
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_49])]) ).
fof(f412,plain,
( ~ sP43
| e4 != op(e1,e3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f2204,plain,
( ~ spl98_170
| ~ spl98_41 ),
inference(avatar_split_clause,[],[f692,f1088,f1697]) ).
fof(f1088,plain,
( spl98_41
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_41])]) ).
fof(f692,plain,
( ~ sP73
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f260,f636]) ).
fof(f260,plain,
( e2 != op(e2,e0)
| ~ sP73 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f2200,plain,
spl98_42,
inference(avatar_split_clause,[],[f656,f1093]) ).
fof(f656,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2189,plain,
( ~ spl98_42
| ~ spl98_114 ),
inference(avatar_split_clause,[],[f560,f1435,f1093]) ).
fof(f1435,plain,
( spl98_114
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_114])]) ).
fof(f560,plain,
( ~ sP13
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2184,plain,
spl98_225,
inference(avatar_split_clause,[],[f644,f2176]) ).
fof(f644,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2179,plain,
( ~ spl98_225
| ~ spl98_140 ),
inference(avatar_split_clause,[],[f512,f1563,f2176]) ).
fof(f1563,plain,
( spl98_140
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_140])]) ).
fof(f512,plain,
( ~ sP23
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4)
& e3 != op(e1,e4)
& e3 != op(e3,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4)
& e3 != op(e1,e4)
& e3 != op(e3,e4) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2174,plain,
~ spl98_127,
inference(avatar_split_clause,[],[f893,f1500]) ).
fof(f893,plain,
e2 != unit,
inference(definition_unfolding,[],[f671,f636]) ).
fof(f671,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e0 != e2
& e1 != e4
& e2 != e3
& e1 != e3
& e1 != e2
& e3 != e4
& e0 != e4
& e2 != e4
& e0 != e1
& e0 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2166,plain,
( spl98_137
| ~ spl98_158 ),
inference(avatar_split_clause,[],[f224,f1649,f1548]) ).
fof(f1649,plain,
( spl98_158
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_158])]) ).
fof(f224,plain,
( ~ sP87
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f2164,plain,
( spl98_21
| ~ spl98_171 ),
inference(avatar_split_clause,[],[f210,f1701,f997]) ).
fof(f1701,plain,
( spl98_171
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_171])]) ).
fof(f210,plain,
( ~ sP94
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP94 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f2163,plain,
( ~ spl98_88
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f857,f1189,f1313]) ).
fof(f1313,plain,
( spl98_88
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_88])]) ).
fof(f857,plain,
( op(e4,e4) != unit
| ~ sP3 ),
inference(definition_unfolding,[],[f611,f636]) ).
fof(f611,plain,
( e0 != op(e4,e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2161,plain,
( ~ spl98_59
| ~ spl98_62 ),
inference(avatar_split_clause,[],[f722,f1189,f1175]) ).
fof(f1175,plain,
( spl98_59
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_59])]) ).
fof(f722,plain,
( op(e4,e4) != unit
| ~ sP53 ),
inference(definition_unfolding,[],[f358,f636]) ).
fof(f358,plain,
( e0 != op(e4,e4)
| ~ sP53 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e3 != op(e4,e4)
& e1 != op(e4,e4)
& e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(e4,e4)
& e1 != op(e4,e4)
& e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f2154,plain,
( ~ spl98_45
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f421,f1741,f1107]) ).
fof(f1741,plain,
( spl98_181
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_181])]) ).
fof(f421,plain,
( ~ sP41
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2149,plain,
~ spl98_89,
inference(avatar_split_clause,[],[f2148,f1318]) ).
fof(f1318,plain,
( spl98_89
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_89])]) ).
fof(f2148,plain,
~ sP49,
inference(trivial_inequality_removal,[],[f2147]) ).
fof(f2147,plain,
( unit != unit
| ~ sP49 ),
inference(forward_demodulation,[],[f730,f892]) ).
fof(f730,plain,
( ~ sP49
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f381,f636]) ).
fof(f381,plain,
( e0 != op(e3,e3)
| ~ sP49 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e4 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e4 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f2141,plain,
( ~ spl98_129
| ~ spl98_90 ),
inference(avatar_split_clause,[],[f742,f1323,f1509]) ).
fof(f1323,plain,
( spl98_90
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_90])]) ).
fof(f742,plain,
( ~ sP45
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f402,f636]) ).
fof(f402,plain,
( e2 != op(e0,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e2 != op(e0,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e2 != op(e0,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f2140,plain,
( ~ spl98_6
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f284,f956,f929]) ).
fof(f929,plain,
( spl98_6
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_6])]) ).
fof(f284,plain,
( e3 != op(e4,e1)
| ~ sP68 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f2134,plain,
( ~ spl98_168
| ~ spl98_193 ),
inference(avatar_split_clause,[],[f209,f1827,f1689]) ).
fof(f1689,plain,
( spl98_168
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_168])]) ).
fof(f1827,plain,
( spl98_193
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_193])]) ).
fof(f209,plain,
( e1 != op(e1,e1)
| ~ sP95 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP95 ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f2132,plain,
( ~ spl98_124
| ~ spl98_79 ),
inference(avatar_split_clause,[],[f333,f1271,f1485]) ).
fof(f1485,plain,
( spl98_124
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_124])]) ).
fof(f1271,plain,
( spl98_79
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_79])]) ).
fof(f333,plain,
( ~ sP58
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f2129,plain,
( ~ spl98_170
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f786,f1147,f1697]) ).
fof(f1147,plain,
( spl98_53
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_53])]) ).
fof(f786,plain,
( ~ sP32
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f464,f636]) ).
fof(f464,plain,
( e2 != op(e2,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e1 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e1 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2127,plain,
( spl98_193
| ~ spl98_168 ),
inference(avatar_split_clause,[],[f208,f1689,f1827]) ).
fof(f208,plain,
( ~ sP95
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2124,plain,
~ spl98_33,
inference(avatar_split_clause,[],[f902,f1051]) ).
fof(f1051,plain,
( spl98_33
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_33])]) ).
fof(f902,plain,
~ sP15,
inference(trivial_inequality_removal,[],[f828]) ).
fof(f828,plain,
( unit != unit
| ~ sP15 ),
inference(definition_unfolding,[],[f550,f636]) ).
fof(f550,plain,
( e0 != unit
| ~ sP15 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e2 != unit
& e4 != unit
& e0 != unit
& e1 != unit
& e3 != unit )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e2 != unit
& e4 != unit
& e0 != unit
& e1 != unit
& e3 != unit )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f2123,plain,
spl98_62,
inference(avatar_split_clause,[],[f880,f1189]) ).
fof(f880,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f660,f636]) ).
fof(f660,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2122,plain,
spl98_223,
inference(avatar_split_clause,[],[f638,f2106]) ).
fof(f638,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2121,plain,
( ~ spl98_172
| ~ spl98_117 ),
inference(avatar_split_clause,[],[f829,f1450,f1705]) ).
fof(f1705,plain,
( spl98_172
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_172])]) ).
fof(f829,plain,
( e3 != op(e3,unit)
| ~ sP14 ),
inference(definition_unfolding,[],[f557,f636]) ).
fof(f557,plain,
( e3 != op(e3,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2116,plain,
spl98_98,
inference(avatar_split_clause,[],[f888,f1360]) ).
fof(f1360,plain,
( spl98_98
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_98])]) ).
fof(f888,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f646,f636]) ).
fof(f646,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2115,plain,
( ~ spl98_192
| ~ spl98_34 ),
inference(avatar_split_clause,[],[f366,f1056,f1821]) ).
fof(f1056,plain,
( spl98_34
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_34])]) ).
fof(f366,plain,
( ~ sP52
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f2109,plain,
( ~ spl98_55
| ~ spl98_223 ),
inference(avatar_split_clause,[],[f321,f2106,f1156]) ).
fof(f1156,plain,
( spl98_55
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_55])]) ).
fof(f321,plain,
( e4 != op(e1,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e1) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e1) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f2104,plain,
( ~ spl98_164
| ~ spl98_162 ),
inference(avatar_split_clause,[],[f778,f1665,f1673]) ).
fof(f1673,plain,
( spl98_164
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_164])]) ).
fof(f778,plain,
( e1 != op(e1,unit)
| ~ sP33 ),
inference(definition_unfolding,[],[f462,f636]) ).
fof(f462,plain,
( e1 != op(e1,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e2,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e2,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f2100,plain,
( spl98_184
| ~ spl98_112 ),
inference(avatar_split_clause,[],[f676,f1425,f1758]) ).
fof(f1425,plain,
( spl98_112
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_112])]) ).
fof(f676,plain,
( ~ sP89
| e1 = op(unit,unit) ),
inference(definition_unfolding,[],[f221,f636,f636]) ).
fof(f221,plain,
( e1 = op(e0,e0)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ~ sP89 ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f2097,plain,
~ spl98_32,
inference(avatar_split_clause,[],[f894,f1047]) ).
fof(f894,plain,
e4 != unit,
inference(definition_unfolding,[],[f665,f636]) ).
fof(f665,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f2096,plain,
( ~ spl98_180
| ~ spl98_97 ),
inference(avatar_split_clause,[],[f710,f1355,f1737]) ).
fof(f1355,plain,
( spl98_97
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_97])]) ).
fof(f710,plain,
( ~ sP65
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f299,f636]) ).
fof(f299,plain,
( e4 != op(e4,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f2095,plain,
( spl98_222
| ~ spl98_157 ),
inference(avatar_split_clause,[],[f2090,f1645,f2092]) ).
fof(f1645,plain,
( spl98_157
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_157])]) ).
fof(f2090,plain,
( ~ sP93
| e1 = unit ),
inference(forward_demodulation,[],[f213,f892]) ).
fof(f213,plain,
( ~ sP93
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP93 ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f2070,plain,
spl98_13,
inference(avatar_split_clause,[],[f890,f961]) ).
fof(f961,plain,
( spl98_13
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_13])]) ).
fof(f890,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f643,f636]) ).
fof(f643,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2069,plain,
spl98_170,
inference(avatar_split_clause,[],[f884,f1697]) ).
fof(f884,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f652,f636]) ).
fof(f652,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2065,plain,
( spl98_59
| spl98_177
| ~ spl98_117
| spl98_172
| spl98_63
| spl98_79
| spl98_53
| ~ spl98_165
| spl98_133
| spl98_155
| spl98_33
| spl98_43
| spl98_29
| spl98_166
| spl98_168
| spl98_4
| spl98_10
| spl98_46
| ~ spl98_129
| spl98_8
| ~ spl98_162
| spl98_81
| spl98_169
| spl98_153
| spl98_80
| spl98_136
| ~ spl98_107
| spl98_148
| spl98_154
| spl98_109
| spl98_173
| spl98_128
| spl98_24
| spl98_179
| spl98_6
| spl98_11
| spl98_69
| spl98_48
| spl98_152
| spl98_88
| spl98_161
| spl98_97
| spl98_9
| spl98_31
| spl98_60
| spl98_15
| spl98_156
| spl98_89
| spl98_93
| spl98_55
| spl98_51
| spl98_163
| spl98_84
| spl98_157
| spl98_36
| spl98_159
| spl98_120
| spl98_138
| spl98_149
| spl98_118
| ~ spl98_98
| spl98_167
| spl98_57
| spl98_74
| spl98_164
| spl98_182
| spl98_90
| spl98_171
| spl98_114
| spl98_140
| spl98_175
| spl98_176
| spl98_116
| spl98_23
| spl98_101
| spl98_94
| spl98_38
| spl98_19
| spl98_112
| spl98_135
| spl98_68
| spl98_125
| spl98_1
| ~ spl98_170
| spl98_181
| spl98_26
| spl98_18
| ~ spl98_13
| spl98_130
| spl98_178
| spl98_158
| spl98_52
| spl98_108
| spl98_58
| spl98_34
| spl98_78
| spl98_174
| spl98_85
| spl98_104
| spl98_102
| spl98_146
| spl98_41
| spl98_49
| spl98_142
| spl98_160
| ~ spl98_180
| spl98_14
| spl98_65
| spl98_144 ),
inference(avatar_split_clause,[],[f904,f1582,f1202,f965,f1737,f1657,f1572,f1127,f1088,f1591,f1379,f1388,f1299,f1713,f1266,f1056,f1170,f1407,f1142,f1649,f1729,f1514,f961,f983,f1020,f1741,f1697,f907,f1491,f1217,f1537,f1425,f988,f1074,f1341,f1374,f1006,f1445,f1721,f1717,f1563,f1435,f1701,f1323,f1745,f1673,f1248,f1165,f1685,f1360,f1454,f1606,f1553,f1464,f1653,f1065,f1645,f1294,f1669,f1137,f1156,f1336,f1318,f1641,f970,f1180,f1042,f943,f1355,f1661,f1313,f1625,f1122,f1222,f952,f929,f1733,f1011,f1505,f1709,f1412,f1633,f1601,f1403,f1544,f1276,f1629,f1693,f1281,f1665,f938,f1509,f1113,f947,f920,f1689,f1681,f1033,f1098,f1051,f1637,f1528,f1677,f1147,f1271,f1193,f1705,f1450,f1725,f1175]) ).
fof(f1725,plain,
( spl98_177
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_177])]) ).
fof(f1193,plain,
( spl98_63
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_63])]) ).
fof(f1528,plain,
( spl98_133
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_133])]) ).
fof(f1033,plain,
( spl98_29
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_29])]) ).
fof(f920,plain,
( spl98_4
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_4])]) ).
fof(f947,plain,
( spl98_10
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_10])]) ).
fof(f1113,plain,
( spl98_46
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_46])]) ).
fof(f938,plain,
( spl98_8
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_8])]) ).
fof(f1281,plain,
( spl98_81
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_81])]) ).
fof(f1544,plain,
( spl98_136
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_136])]) ).
fof(f1601,plain,
( spl98_148
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_148])]) ).
fof(f1709,plain,
( spl98_173
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_173])]) ).
fof(f1505,plain,
( spl98_128
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_128])]) ).
fof(f1011,plain,
( spl98_24
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_24])]) ).
fof(f952,plain,
( spl98_11
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_11])]) ).
fof(f1122,plain,
( spl98_48
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_48])]) ).
fof(f1661,plain,
( spl98_161
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_161])]) ).
fof(f1042,plain,
( spl98_31
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_31])]) ).
fof(f1180,plain,
( spl98_60
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_60])]) ).
fof(f970,plain,
( spl98_15
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_15])]) ).
fof(f1336,plain,
( spl98_93
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_93])]) ).
fof(f1137,plain,
( spl98_51
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_51])]) ).
fof(f1669,plain,
( spl98_163
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_163])]) ).
fof(f1294,plain,
( spl98_84
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_84])]) ).
fof(f1653,plain,
( spl98_159
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_159])]) ).
fof(f1464,plain,
( spl98_120
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_120])]) ).
fof(f1553,plain,
( spl98_138
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_138])]) ).
fof(f1606,plain,
( spl98_149
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_149])]) ).
fof(f1454,plain,
( spl98_118
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_118])]) ).
fof(f1685,plain,
( spl98_167
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_167])]) ).
fof(f1165,plain,
( spl98_57
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_57])]) ).
fof(f1248,plain,
( spl98_74
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_74])]) ).
fof(f1745,plain,
( spl98_182
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_182])]) ).
fof(f1717,plain,
( spl98_175
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_175])]) ).
fof(f1445,plain,
( spl98_116
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_116])]) ).
fof(f1006,plain,
( spl98_23
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_23])]) ).
fof(f1374,plain,
( spl98_101
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_101])]) ).
fof(f1074,plain,
( spl98_38
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_38])]) ).
fof(f988,plain,
( spl98_19
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_19])]) ).
fof(f1537,plain,
( spl98_135
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_135])]) ).
fof(f1217,plain,
( spl98_68
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_68])]) ).
fof(f1491,plain,
( spl98_125
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_125])]) ).
fof(f907,plain,
( spl98_1
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_1])]) ).
fof(f1020,plain,
( spl98_26
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_26])]) ).
fof(f983,plain,
( spl98_18
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_18])]) ).
fof(f1514,plain,
( spl98_130
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_130])]) ).
fof(f1142,plain,
( spl98_52
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_52])]) ).
fof(f1407,plain,
( spl98_108
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_108])]) ).
fof(f1170,plain,
( spl98_58
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_58])]) ).
fof(f1266,plain,
( spl98_78
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_78])]) ).
fof(f1713,plain,
( spl98_174
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_174])]) ).
fof(f1299,plain,
( spl98_85
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_85])]) ).
fof(f1388,plain,
( spl98_104
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_104])]) ).
fof(f1379,plain,
( spl98_102
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_102])]) ).
fof(f1572,plain,
( spl98_142
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_142])]) ).
fof(f1657,plain,
( spl98_160
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_160])]) ).
fof(f965,plain,
( spl98_14
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_14])]) ).
fof(f1202,plain,
( spl98_65
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_65])]) ).
fof(f1582,plain,
( spl98_144
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_144])]) ).
fof(f904,plain,
( sP63
| sP38
| sP47
| e4 != op(e4,unit)
| sP66
| sP72
| sP43
| sP73
| sP62
| sP21
| sP4
| sP46
| sP80
| sP7
| sP52
| sP59
| sP1
| sP85
| sP87
| sP74
| sP77
| e1 != op(unit,e1)
| sP70
| sP69
| sP41
| e2 != op(e2,unit)
| sP10
| sP22
| sP24
| sP18
| sP89
| sP6
| sP64
| sP34
| sP9
| sP97
| sP2
| sP92
| sP96
| sP23
| sP13
| sP94
| sP45
| sP20
| sP33
| sP29
| sP90
| sP76
| e3 != op(unit,e3)
| sP44
| sP16
| sP5
| sP51
| sP91
| sP50
| sP93
| sP81
| sP86
| sP78
| sP61
| sP56
| sP49
| sP8
| sP30
| sP42
| sP37
| e3 = op(e2,e2)
| sP65
| sP25
| sP3
| sP28
| sP54
| sP67
| sP57
| sP68
| sP88
| sP84
| sP35
| sP36
| sP60
| sP17
| sP79
| unit != op(unit,unit)
| sP11
| sP0
| sP82
| e2 = op(e1,e1)
| sP26
| e1 != op(e1,unit)
| sP19
| e2 != op(unit,e2)
| sP83
| sP40
| sP39
| sP95
| sP71
| sP31
| sP12
| sP15
| sP27
| sP75
| e4 != op(unit,e4)
| sP32
| sP58
| sP48
| sP14
| e3 != op(e3,unit)
| sP55
| sP53 ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f878,plain,
( e2 != op(e2,unit)
| sP21
| sP65
| sP73
| sP49
| sP6
| sP9
| sP66
| e4 != op(e4,unit)
| e4 != op(e4,unit)
| sP14
| sP52
| sP60
| sP35
| sP34
| sP31
| sP96
| sP95
| sP43
| sP64
| sP15
| sP88
| sP47
| e3 = op(e2,e2)
| sP25
| sP42
| sP18
| sP38
| sP79
| sP62
| sP77
| sP40
| sP56
| sP82
| sP84
| sP16
| e3 != op(unit,e3)
| sP3
| sP19
| sP4
| sP27
| sP61
| sP39
| sP55
| sP92
| e2 = op(e1,e1)
| e3 != op(e3,unit)
| sP54
| sP93
| sP26
| sP17
| sP89
| sP41
| sP70
| sP87
| sP91
| sP33
| sP45
| unit != op(unit,unit)
| sP48
| sP37
| e1 != op(unit,e1)
| sP63
| sP59
| sP24
| sP11
| sP97
| sP58
| sP78
| sP23
| sP72
| sP86
| sP67
| sP22
| sP81
| sP51
| sP13
| sP0
| sP8
| sP5
| sP36
| sP46
| e1 != op(e1,unit)
| sP7
| e2 != op(unit,e2)
| sP74
| sP44
| sP83
| sP90
| sP85
| sP71
| unit != op(unit,unit)
| sP10
| e4 != op(unit,e4)
| sP32
| sP1
| sP53
| sP75
| sP12
| sP50
| sP57
| sP68
| sP76
| sP2
| sP29
| sP80
| sP69
| sP28
| sP20
| sP94
| sP30 ),
inference(definition_unfolding,[],[f629,f636,f636,f636,f636,f636]) ).
fof(f629,plain,
( sP75
| e2 = op(e1,e1)
| sP74
| e4 != op(e4,e0)
| sP73
| sP72
| sP71
| e3 = op(e2,e2)
| sP97
| e2 != op(unit,e2)
| sP70
| sP69
| sP68
| sP96
| sP67
| sP66
| sP65
| sP64
| sP63
| sP95
| sP62
| sP61
| sP60
| sP94
| sP59
| sP58
| sP57
| sP93
| sP56
| sP92
| sP55
| sP91
| sP90
| sP54
| e4 != op(e4,unit)
| sP53
| sP52
| e3 != op(unit,e3)
| sP51
| e0 != op(e0,unit)
| sP89
| sP50
| sP49
| sP88
| sP87
| sP86
| sP85
| sP48
| sP47
| e4 != op(unit,e4)
| sP46
| sP45
| sP44
| sP43
| e0 != op(unit,e0)
| sP42
| sP41
| sP40
| sP84
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP83
| sP33
| e1 != op(e1,unit)
| sP32
| sP82
| e3 != op(e3,unit)
| sP31
| e1 != op(unit,e1)
| sP81
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| e2 != op(e2,unit)
| sP24
| sP80
| sP23
| sP22
| sP21
| sP79
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP78
| sP77
| sP2
| sP76
| sP1
| sP0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( sP75
| ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| sP74
| ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| sP73
| sP72
| sP71
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| sP97
| e2 != op(unit,e2)
| sP70
| sP69
| sP68
| sP96
| sP67
| sP66
| sP65
| sP64
| sP63
| sP95
| sP62
| sP61
| sP60
| sP94
| sP59
| sP58
| sP57
| sP93
| sP56
| sP92
| sP55
| sP91
| sP90
| sP54
| e4 != op(e4,unit)
| sP53
| sP52
| e3 != op(unit,e3)
| sP51
| e0 != op(e0,unit)
| sP89
| sP50
| sP49
| sP88
| sP87
| sP86
| sP85
| sP48
| sP47
| e4 != op(unit,e4)
| sP46
| sP45
| sP44
| sP43
| e0 != op(unit,e0)
| sP42
| sP41
| sP40
| sP84
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP83
| sP33
| e1 != op(e1,unit)
| sP32
| sP82
| e3 != op(e3,unit)
| sP31
| e1 != op(unit,e1)
| sP81
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| e2 != op(e2,unit)
| sP24
| sP80
| sP23
| sP22
| sP21
| sP79
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP78
| sP77
| sP2
| sP76
| sP1
| sP0 ),
inference(definition_folding,[],[f6,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,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]) ).
fof(f8,plain,
( ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
( ( e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ( e0 != op(e4,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
( ( e1 != op(e3,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e1,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ( e4 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e4 != op(e1,e4)
& e4 != op(e0,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
( ( e1 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4)
& e1 != op(e3,e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
( ( e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( e1 != op(e4,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e4)
& e2 != op(e3,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( e0 != op(e1,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
( ( e1 != op(e3,e4)
& e2 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e3) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( e3 != op(e3,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e4,e3) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( e1 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
( ( e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
( ( e4 != op(e3,e0)
& e0 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f53,plain,
( ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f54,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f55,plain,
( ( e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f58,plain,
( ( e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e0,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f61,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e3)
& e2 != op(e1,e2) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f62,plain,
( ( e3 != op(e1,e2)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e4) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f63,plain,
( ( e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e3,e4) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f64,plain,
( ( e3 != op(e4,e1)
& e1 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f66,plain,
( ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e4 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f71,plain,
( ( e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e0,e2) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f73,plain,
( ( e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f76,plain,
( ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f77,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e1)
& e1 != op(e2,e3) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f79,plain,
( ( e1 != op(e1,e4)
& e0 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f82,plain,
( ( e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f83,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f84,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f85,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f86,plain,
( ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f87,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f88,plain,
( ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f90,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f91,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f92,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f93,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f98,plain,
( ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f103,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f104,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f6,plain,
( ( e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e0,e1)
& e3 != op(e4,e1) )
| ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e4,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0) )
| ( e1 != op(e1,e4)
& e0 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e4 != op(e1,e4) )
| ( e0 != op(e3,e1)
& e0 != op(e3,e3)
& e0 != op(e3,e4)
& e0 != op(e3,e2)
& e0 != op(e3,e0) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| e2 != op(unit,e2)
| ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e1)
& e1 != op(e2,e3) )
| ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2) )
| ( e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ( e1 != op(e1,e1)
& e1 != op(e1,e4)
& e1 != op(e1,e2)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ( e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2) )
| ( e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| ( e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e0,e2) )
| ( e4 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e3 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e4 != op(e2,e4) )
| ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e1) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e3)
& e2 != op(e2,e4)
& e2 != op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ( e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e1 != op(e4,e2) )
| ( e3 != op(e4,e1)
& e1 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1) )
| ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e3,e4) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e3 != op(e1,e2)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e4) )
| ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ( e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e3)
& e2 != op(e1,e2) )
| e4 != op(e4,unit)
| ( e3 != op(e4,e4)
& e1 != op(e4,e4)
& e4 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 != op(e2,e1)
& e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1) )
| e3 != op(unit,e3)
| ( e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e0,e0) )
| e0 != op(e0,unit)
| ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ( e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e4)
& e4 != op(e3,e0) )
| ( e4 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ( e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ( e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2) )
| e4 != op(unit,e4)
| ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e2 != op(e0,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e1,e2)
& e2 != op(e4,e2) )
| ( e4 != op(e3,e0)
& e0 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0) )
| ( e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| e0 != op(unit,e0)
| ( e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3) )
| ( e1 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e4 != op(e2,e2) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ( e3 != op(e3,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e4,e3) )
| ( e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0) )
| ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0) )
| ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e4)
& e0 != op(e0,e0) )
| ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e2,e0)
& e1 != op(e4,e0)
& e1 != op(e3,e0) )
| e1 != op(e1,unit)
| ( e1 != op(e2,e0)
& e4 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| e3 != op(e3,unit)
| ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e3) )
| e1 != op(unit,e1)
| ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0) )
| ( e4 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0) )
| ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ( e1 != op(e3,e4)
& e2 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ( e0 != op(e1,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| e2 != op(e2,unit)
| ( e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e4)
& e2 != op(e3,e0) )
| ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ( e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4)
& e3 != op(e1,e4)
& e3 != op(e3,e4) )
| ( e1 != op(e4,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4) )
| ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e0) )
| ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4) )
| ( e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4) )
| ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4)
& e1 != op(e3,e0) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e3)
& e3 != op(e2,e4)
& e3 != op(e2,e1)
& e3 != op(e2,e2) )
| ( e1 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3) )
| ( e2 != unit
& e4 != unit
& e0 != unit
& e1 != unit
& e3 != unit )
| ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e4)
& e3 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ( e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3) )
| ( e4 != op(e1,e4)
& e4 != op(e0,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ( e4 != op(e0,e3)
& e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e0)
& e4 != op(e0,e2) )
| ( e4 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e1 != op(e3,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e1,e3) )
| ( e0 != op(e4,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1) )
| ( e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1) )
| ( e0 != op(e4,e0)
& e0 != op(e4,e4)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e3) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e1,e0) )
| ( e4 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ( e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e4,e3) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& e4 = op(e4,unit)
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e1 != op(e0,e0)
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e4 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e0 = op(e2,e0)
| e4 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e1,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4) )
& ( e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e4 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e1) )
& e0 = op(unit,e0)
& ( e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e1,e1)
| e2 = op(e3,e1) )
& ( e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e2)
| e4 = op(e3,e0)
| e4 = op(e3,e1) )
& e1 = op(unit,e1)
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e3 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e3 != op(e0,e0)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) )
& ( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3) )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0) )
& ( e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e4,e0) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e4) )
& ( e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e2)
| e2 != op(e0,e0) )
& ( e1 = op(e2,e3)
| e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e4) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e4) )
& e3 = op(e3,unit)
& ( e3 = op(e0,e4)
| e1 = op(e0,e4)
| e4 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e2)
| e4 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e2,e3)
| e4 = op(e0,e3) )
& e3 = op(unit,e3)
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e4,e0)
| e0 = op(e0,e0)
| e0 = op(e1,e0) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e2)
| e1 = op(e0,e0) )
& ( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e4,e4)
| e0 = op(e4,e0)
| e0 = op(e4,e3)
| e0 = op(e4,e1) )
& ( e4 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3) )
& e0 = op(e0,unit)
& ( e4 = op(e4,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e2,e1)
| e4 = op(e3,e1) )
& ( e4 != op(e0,e0)
| e0 = op(e0,e4) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e4,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e1 = unit
| e2 = unit
| e4 = unit
| e0 = unit
| e3 = unit )
& ( e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e2,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e3,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e1 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& e2 = op(e2,unit)
& ( e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e1) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| e4 = op(e0,e3)
| e4 = op(e0,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e4 = op(unit,e4)
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) )
& ( e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4) )
& ( e2 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e4)
| e3 = op(e0,e2)
| e3 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e1,e4)
| e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e2 = op(e0,e4)
| e2 = op(e4,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4) )
& ( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3)
| e3 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4) )
& ( e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e4,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e0,e0)
| e0 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0)
| e3 = op(e0,e0) )
& e1 = op(e1,unit)
& ( e0 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| e1 = op(e4,e2) )
& ( e0 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) )
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e1,e3)
| e0 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3) )
& e2 = op(unit,e2)
& ( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ( e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e4,e3) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& e4 = op(e4,unit)
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e1 != op(e0,e0)
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e4 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e0 = op(e2,e0)
| e4 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e1,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4) )
& ( e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e4 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e1) )
& e0 = op(unit,e0)
& ( e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e1,e1)
| e2 = op(e3,e1) )
& ( e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e2)
| e4 = op(e3,e0)
| e4 = op(e3,e1) )
& e1 = op(unit,e1)
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e3 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e3 != op(e0,e0)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) )
& ( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3) )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0) )
& ( e4 = op(e0,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e4,e0) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e4) )
& ( e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e2)
| e2 != op(e0,e0) )
& ( e1 = op(e2,e3)
| e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e4) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e4) )
& e3 = op(e3,unit)
& ( e3 = op(e0,e4)
| e1 = op(e0,e4)
| e4 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e2)
| e4 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e2,e3)
| e4 = op(e0,e3) )
& e3 = op(unit,e3)
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e4,e0)
| e0 = op(e0,e0)
| e0 = op(e1,e0) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e2)
| e1 = op(e0,e0) )
& ( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e4,e4)
| e0 = op(e4,e0)
| e0 = op(e4,e3)
| e0 = op(e4,e1) )
& ( e4 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3) )
& e0 = op(e0,unit)
& ( e4 = op(e4,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e2,e1)
| e4 = op(e3,e1) )
& ( e4 != op(e0,e0)
| e0 = op(e0,e4) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e4,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e1 = unit
| e2 = unit
| e4 = unit
| e0 = unit
| e3 = unit )
& ( e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e2,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e3,e1) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e1 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& e2 = op(e2,unit)
& ( e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e1) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| e4 = op(e0,e3)
| e4 = op(e0,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e4 = op(unit,e4)
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) )
& ( e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4) )
& ( e2 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e4)
| e3 = op(e0,e2)
| e3 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e1,e4)
| e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e2 = op(e0,e4)
| e2 = op(e4,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4) )
& ( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3)
| e3 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4) )
& ( e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e4,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e0,e0)
| e0 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0)
| e3 = op(e0,e0) )
& e1 = op(e1,unit)
& ( e0 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| e1 = op(e4,e2) )
& ( e0 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) )
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e1,e3)
| e0 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3) )
& e2 = op(unit,e2)
& ( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2052,plain,
( ~ spl98_10
| ~ spl98_115 ),
inference(avatar_split_clause,[],[f755,f1440,f947]) ).
fof(f755,plain,
( op(e2,e2) != unit
| ~ sP40 ),
inference(definition_unfolding,[],[f426,f636]) ).
fof(f426,plain,
( e0 != op(e2,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e1 != op(e2,e2)
& e0 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2036,plain,
spl98_92,
inference(avatar_split_clause,[],[f637,f1332]) ).
fof(f1332,plain,
( spl98_92
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_92])]) ).
fof(f637,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2022,plain,
( ~ spl98_68
| ~ spl98_147 ),
inference(avatar_split_clause,[],[f506,f1596,f1217]) ).
fof(f506,plain,
( e2 != op(e3,e1)
| ~ sP24 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e4)
& e2 != op(e3,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f2020,plain,
( ~ spl98_47
| ~ spl98_65 ),
inference(avatar_split_clause,[],[f757,f1202,f1117]) ).
fof(f757,plain,
( ~ sP38
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f437,f636]) ).
fof(f437,plain,
( e0 != op(e1,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2015,plain,
( ~ spl98_163
| spl98_214 ),
inference(avatar_split_clause,[],[f680,f1998,f1669]) ).
fof(f680,plain,
( e4 = op(unit,unit)
| ~ sP86 ),
inference(definition_unfolding,[],[f227,f636,f636]) ).
fof(f227,plain,
( e4 = op(e0,e0)
| ~ sP86 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f2010,plain,
~ spl98_210,
inference(avatar_split_clause,[],[f896,f1971]) ).
fof(f896,plain,
e3 != unit,
inference(definition_unfolding,[],[f662,f636]) ).
fof(f662,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f2009,plain,
spl98_47,
inference(avatar_split_clause,[],[f886,f1117]) ).
fof(f886,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f649,f636]) ).
fof(f649,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2008,plain,
spl98_162,
inference(avatar_split_clause,[],[f891,f1665]) ).
fof(f891,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f642,f636]) ).
fof(f642,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2007,plain,
( ~ spl98_182
| ~ spl98_165 ),
inference(avatar_split_clause,[],[f818,f1677,f1745]) ).
fof(f818,plain,
( e4 != op(unit,e4)
| ~ sP20 ),
inference(definition_unfolding,[],[f524,f636]) ).
fof(f524,plain,
( e4 != op(e0,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e1 != op(e0,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f2004,plain,
( ~ spl98_19
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f595,f1577,f988]) ).
fof(f595,plain,
( e1 != op(e2,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e1 != op(e3,e3)
& e1 != op(e0,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e1,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1990,plain,
spl98_117,
inference(avatar_split_clause,[],[f885,f1450]) ).
fof(f885,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f651,f636]) ).
fof(f651,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1975,plain,
( ~ spl98_125
| ~ spl98_82 ),
inference(avatar_split_clause,[],[f513,f1285,f1491]) ).
fof(f513,plain,
( e1 != op(e3,e4)
| ~ sP22 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e1 != op(e4,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1968,plain,
( ~ spl98_82
| ~ spl98_135 ),
inference(avatar_split_clause,[],[f534,f1537,f1285]) ).
fof(f534,plain,
( ~ sP18
| e1 != op(e3,e4) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e4)
& e1 != op(e3,e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1967,plain,
spl98_115,
inference(avatar_split_clause,[],[f889,f1440]) ).
fof(f889,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f645,f636]) ).
fof(f645,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1966,plain,
( ~ spl98_27
| ~ spl98_177 ),
inference(avatar_split_clause,[],[f352,f1725,f1024]) ).
fof(f1024,plain,
( spl98_27
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_27])]) ).
fof(f352,plain,
( ~ sP55
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e3 != op(e1,e2)
& e3 != op(e1,e0)
& e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e4) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1965,plain,
( ~ spl98_124
| ~ spl98_74 ),
inference(avatar_split_clause,[],[f479,f1248,f1485]) ).
fof(f479,plain,
( ~ sP29
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1960,plain,
( spl98_75
| ~ spl98_167 ),
inference(avatar_split_clause,[],[f247,f1685,f1252]) ).
fof(f247,plain,
( ~ sP76
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f1958,plain,
( ~ spl98_117
| ~ spl98_120 ),
inference(avatar_split_clause,[],[f725,f1464,f1450]) ).
fof(f725,plain,
( ~ sP51
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f371,f636]) ).
fof(f371,plain,
( e3 != op(e3,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0)
& e3 != op(e0,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1956,plain,
( ~ spl98_175
| spl98_127 ),
inference(avatar_split_clause,[],[f1955,f1500,f1717]) ).
fof(f1955,plain,
( e2 = unit
| ~ sP96 ),
inference(forward_demodulation,[],[f207,f892]) ).
fof(f207,plain,
( ~ sP96
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP96 ),
inference(nnf_transformation,[],[f103]) ).
fof(f1919,plain,
( ~ spl98_47
| ~ spl98_138 ),
inference(avatar_split_clause,[],[f848,f1553,f1117]) ).
fof(f848,plain,
( ~ sP5
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f600,f636]) ).
fof(f600,plain,
( e0 != op(e1,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e0 != op(e4,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1910,plain,
spl98_165,
inference(avatar_split_clause,[],[f883,f1677]) ).
fof(f883,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f653,f636]) ).
fof(f653,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1907,plain,
spl98_27,
inference(avatar_split_clause,[],[f641,f1024]) ).
fof(f641,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1886,plain,
~ spl98_161,
inference(avatar_split_clause,[],[f1885,f1661]) ).
fof(f1885,plain,
~ sP25,
inference(trivial_inequality_removal,[],[f1884]) ).
fof(f1884,plain,
( unit != unit
| ~ sP25 ),
inference(forward_demodulation,[],[f806,f892]) ).
fof(f806,plain,
( op(e3,e3) != unit
| ~ sP25 ),
inference(definition_unfolding,[],[f498,f636]) ).
fof(f498,plain,
( e0 != op(e3,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e0 != op(e1,e3)
& e0 != op(e0,e3)
& e0 != op(e4,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1865,plain,
( ~ spl98_171
| ~ spl98_21 ),
inference(avatar_split_clause,[],[f211,f997,f1701]) ).
fof(f211,plain,
( e2 != op(e2,e2)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f1858,plain,
spl98_192,
inference(avatar_split_clause,[],[f655,f1821]) ).
fof(f655,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1845,plain,
( spl98_122
| ~ spl98_174 ),
inference(avatar_split_clause,[],[f238,f1713,f1474]) ).
fof(f238,plain,
( ~ sP80
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f1825,plain,
spl98_180,
inference(avatar_split_clause,[],[f881,f1737]) ).
fof(f881,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f659,f636]) ).
fof(f659,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1824,plain,
( ~ spl98_192
| ~ spl98_136 ),
inference(avatar_split_clause,[],[f571,f1544,f1821]) ).
fof(f571,plain,
( ~ sP11
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e4)
& e4 != op(e2,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1817,plain,
spl98_124,
inference(avatar_split_clause,[],[f658,f1485]) ).
fof(f658,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1808,plain,
( ~ spl98_48
| ~ spl98_92 ),
inference(avatar_split_clause,[],[f357,f1332,f1122]) ).
fof(f357,plain,
( e2 != op(e1,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e1)
& e2 != op(e1,e0)
& e2 != op(e1,e3)
& e2 != op(e1,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1806,plain,
( ~ spl98_104
| ~ spl98_129 ),
inference(avatar_split_clause,[],[f851,f1509,f1388]) ).
fof(f851,plain,
( e2 != op(unit,e2)
| ~ sP4 ),
inference(definition_unfolding,[],[f607,f636]) ).
fof(f607,plain,
( e2 != op(e0,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e1) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1798,plain,
( ~ spl98_173
| ~ spl98_180 ),
inference(avatar_split_clause,[],[f765,f1737,f1709]) ).
fof(f765,plain,
( e4 != op(e4,unit)
| ~ sP36 ),
inference(definition_unfolding,[],[f445,f636]) ).
fof(f445,plain,
( e4 != op(e4,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1792,plain,
( ~ spl98_13
| ~ spl98_101 ),
inference(avatar_split_clause,[],[f838,f1374,f961]) ).
fof(f838,plain,
( ~ sP9
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f582,f636]) ).
fof(f582,plain,
( e1 != op(e0,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1790,plain,
( ~ spl98_98
| ~ spl98_149 ),
inference(avatar_split_clause,[],[f824,f1606,f1360]) ).
fof(f824,plain,
( ~ sP16
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f546,f636]) ).
fof(f546,plain,
( e3 != op(e0,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e1 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1778,plain,
( ~ spl98_162
| ~ spl98_46 ),
inference(avatar_split_clause,[],[f685,f1113,f1665]) ).
fof(f685,plain,
( ~ sP83
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f232,f636]) ).
fof(f232,plain,
( e1 != op(e1,e0)
| ~ sP83 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f1767,plain,
spl98_45,
inference(avatar_split_clause,[],[f650,f1107]) ).
fof(f650,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1756,plain,
( ~ spl98_1
| ~ spl98_165 ),
inference(avatar_split_clause,[],[f837,f1677,f907]) ).
fof(f837,plain,
( e4 != op(unit,e4)
| ~ sP10 ),
inference(definition_unfolding,[],[f576,f636]) ).
fof(f576,plain,
( e4 != op(e0,e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e4 != op(e1,e4)
& e4 != op(e0,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1755,plain,
( ~ spl98_143
| ~ spl98_78 ),
inference(avatar_split_clause,[],[f590,f1266,f1577]) ).
fof(f590,plain,
( ~ sP7
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e4 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1754,plain,
( ~ spl98_159
| spl98_183 ),
inference(avatar_split_clause,[],[f216,f1751,f1653]) ).
fof(f216,plain,
( e2 = op(e4,e4)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ~ sP91 ),
inference(nnf_transformation,[],[f98]) ).
fof(f1749,plain,
( ~ spl98_115
| ~ spl98_160 ),
inference(avatar_split_clause,[],[f705,f1657,f1440]) ).
fof(f705,plain,
( ~ sP66
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f297,f636]) ).
fof(f297,plain,
( e0 != op(e2,e2)
| ~ sP66 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e1,e2) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f1622,plain,
( ~ spl98_147
| ~ spl98_144 ),
inference(avatar_split_clause,[],[f310,f1582,f1596]) ).
fof(f310,plain,
( ~ sP63
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e4 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1604,plain,
( ~ spl98_148
| spl98_17 ),
inference(avatar_split_clause,[],[f240,f979,f1601]) ).
fof(f240,plain,
( e1 = op(e2,e2)
| ~ sP79 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f1599,plain,
( ~ spl98_147
| ~ spl98_133 ),
inference(avatar_split_clause,[],[f251,f1528,f1596]) ).
fof(f251,plain,
( ~ sP75
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f1580,plain,
( ~ spl98_143
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f273,f983,f1577]) ).
fof(f273,plain,
( ~ sP70
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e0)
& e1 != op(e2,e4)
& e1 != op(e2,e1)
& e1 != op(e2,e3) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1575,plain,
( ~ spl98_92
| ~ spl98_142 ),
inference(avatar_split_clause,[],[f264,f1572,f1332]) ).
fof(f264,plain,
( ~ sP72
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e1 != op(e1,e4)
& e0 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1542,plain,
( ~ spl98_47
| ~ spl98_85 ),
inference(avatar_split_clause,[],[f741,f1299,f1117]) ).
fof(f741,plain,
( ~ sP46
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f393,f636]) ).
fof(f393,plain,
( e0 != op(e1,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1541,plain,
( ~ spl98_15
| ~ spl98_45 ),
inference(avatar_split_clause,[],[f477,f1107,f970]) ).
fof(f477,plain,
( e2 != op(e4,e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1521,plain,
( ~ spl98_130
| spl98_131 ),
inference(avatar_split_clause,[],[f245,f1518,f1514]) ).
fof(f245,plain,
( e3 = op(e3,e3)
| ~ sP77 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f1512,plain,
( ~ spl98_128
| ~ spl98_129 ),
inference(avatar_split_clause,[],[f772,f1509,f1505]) ).
fof(f772,plain,
( e2 != op(unit,e2)
| ~ sP35 ),
inference(definition_unfolding,[],[f448,f636]) ).
fof(f448,plain,
( e2 != op(e0,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e0 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1489,plain,
( ~ spl98_4
| ~ spl98_98 ),
inference(avatar_split_clause,[],[f756,f1360,f920]) ).
fof(f756,plain,
( e3 != op(unit,e3)
| ~ sP39 ),
inference(definition_unfolding,[],[f431,f636]) ).
fof(f431,plain,
( e3 != op(e0,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e3 != op(e3,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e4,e3) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1488,plain,
( ~ spl98_58
| ~ spl98_124 ),
inference(avatar_split_clause,[],[f329,f1485,f1170]) ).
fof(f329,plain,
( e1 != op(e4,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e0,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1457,plain,
( ~ spl98_117
| ~ spl98_118 ),
inference(avatar_split_clause,[],[f745,f1454,f1450]) ).
fof(f745,plain,
( ~ sP44
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f405,f636]) ).
fof(f405,plain,
( e3 != op(e3,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e4 != op(e3,e0)
& e0 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f1448,plain,
( ~ spl98_116
| ~ spl98_107 ),
inference(avatar_split_clause,[],[f863,f1403,f1445]) ).
fof(f863,plain,
( unit != op(unit,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f615,f636,f636,f636]) ).
fof(f615,plain,
( e0 != op(e0,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1443,plain,
( ~ spl98_115
| ~ spl98_102 ),
inference(avatar_split_clause,[],[f813,f1379,f1440]) ).
fof(f813,plain,
( ~ sP21
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f519,f636]) ).
fof(f519,plain,
( e0 != op(e2,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1410,plain,
( ~ spl98_107
| ~ spl98_108 ),
inference(avatar_split_clause,[],[f869,f1407,f1403]) ).
fof(f869,plain,
( ~ sP1
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f619,f636,f636,f636]) ).
fof(f619,plain,
( e0 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e0 != op(e4,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1363,plain,
( ~ spl98_29
| ~ spl98_98 ),
inference(avatar_split_clause,[],[f792,f1360,f1033]) ).
fof(f792,plain,
( e3 != op(unit,e3)
| ~ sP31 ),
inference(definition_unfolding,[],[f468,f636]) ).
fof(f468,plain,
( e3 != op(e0,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1339,plain,
( ~ spl98_92
| ~ spl98_93 ),
inference(avatar_split_clause,[],[f344,f1336,f1332]) ).
fof(f344,plain,
( ~ sP56
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e3,e4) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1297,plain,
( spl98_83
| ~ spl98_84 ),
inference(avatar_split_clause,[],[f236,f1294,f1290]) ).
fof(f236,plain,
( ~ sP81
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f1288,plain,
( ~ spl98_81
| ~ spl98_82 ),
inference(avatar_split_clause,[],[f497,f1285,f1281]) ).
fof(f497,plain,
( e1 != op(e3,e4)
| ~ sP26 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e1 != op(e3,e4)
& e2 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1236,plain,
( ~ spl98_51
| ~ spl98_39 ),
inference(avatar_split_clause,[],[f243,f1079,f1137]) ).
fof(f1079,plain,
( spl98_39
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_39])]) ).
fof(f243,plain,
( e4 != op(e4,e4)
| ~ sP78 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f1235,plain,
spl98_12,
inference(avatar_split_clause,[],[f657,f956]) ).
fof(f657,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1206,plain,
( ~ spl98_60
| ~ spl98_13 ),
inference(avatar_split_clause,[],[f749,f961,f1180]) ).
fof(f749,plain,
( e1 != op(unit,e1)
| ~ sP42 ),
inference(definition_unfolding,[],[f417,f636]) ).
fof(f417,plain,
( e1 != op(e0,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f1196,plain,
( ~ spl98_62
| ~ spl98_63 ),
inference(avatar_split_clause,[],[f732,f1193,f1189]) ).
fof(f732,plain,
( ~ sP48
| op(e4,e4) != unit ),
inference(definition_unfolding,[],[f386,f636]) ).
fof(f386,plain,
( e0 != op(e4,e4)
| ~ sP48 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e0,e4)
& e0 != op(e2,e4) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1168,plain,
( spl98_56
| ~ spl98_57 ),
inference(avatar_split_clause,[],[f675,f1165,f1161]) ).
fof(f675,plain,
( ~ sP90
| e2 = op(unit,unit) ),
inference(definition_unfolding,[],[f218,f636,f636]) ).
fof(f218,plain,
( e2 = op(e0,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ~ sP90 ),
inference(nnf_transformation,[],[f97]) ).
fof(f1145,plain,
( spl98_28
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f683,f1142,f1029]) ).
fof(f683,plain,
( ~ sP85
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f228,f636,f636]) ).
fof(f228,plain,
( e3 = op(e0,e0)
| ~ sP85 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f1140,plain,
( spl98_39
| ~ spl98_51 ),
inference(avatar_split_clause,[],[f242,f1137,f1079]) ).
fof(f242,plain,
( ~ sP78
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f1111,plain,
( ~ spl98_31
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f438,f1024,f1042]) ).
fof(f438,plain,
( e3 != op(e1,e2)
| ~ sP37 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1110,plain,
( ~ spl98_8
| ~ spl98_45 ),
inference(avatar_split_clause,[],[f531,f1107,f938]) ).
fof(f531,plain,
( e2 != op(e4,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1096,plain,
( ~ spl98_38
| ~ spl98_42 ),
inference(avatar_split_clause,[],[f307,f1093,f1074]) ).
fof(f307,plain,
( e4 != op(e3,e2)
| ~ sP64 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e4,e2)
& e4 != op(e0,e2) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1027,plain,
( ~ spl98_26
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f282,f1024,f1020]) ).
fof(f282,plain,
( e3 != op(e1,e2)
| ~ sP69 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e3 != op(e1,e2)
& e4 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1018,plain,
( ~ spl98_24
| spl98_25 ),
inference(avatar_split_clause,[],[f231,f1015,f1011]) ).
fof(f231,plain,
( e4 = op(e3,e3)
| ~ sP84 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f1009,plain,
( spl98_22
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f205,f1006,f1002]) ).
fof(f205,plain,
( ~ sP97
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP97 ),
inference(nnf_transformation,[],[f104]) ).
fof(f968,plain,
( ~ spl98_13
| ~ spl98_14 ),
inference(avatar_split_clause,[],[f739,f965,f961]) ).
fof(f739,plain,
( ~ sP47
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f389,f636]) ).
fof(f389,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e4)
& e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f959,plain,
( ~ spl98_11
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f342,f956,f952]) ).
fof(f342,plain,
( e3 != op(e4,e1)
| ~ sP57 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e3 != op(e4,e1)
& e1 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:51:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (18105)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.47 % (18107)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.48 % (18118)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)
% 0.18/0.49 % (18124)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49 % (18096)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (18098)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (18099)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)
% 0.18/0.50 % (18094)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)
% 0.18/0.50 % (18106)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)
% 0.18/0.51 % (18114)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (18103)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (18100)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)
% 0.18/0.51 % (18103)Instruction limit reached!
% 0.18/0.51 % (18103)------------------------------
% 0.18/0.51 % (18103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (18103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (18103)Termination reason: Unknown
% 0.18/0.51 % (18103)Termination phase: shuffling
% 0.18/0.51
% 0.18/0.51 % (18103)Memory used [KB]: 1023
% 0.18/0.51 % (18103)Time elapsed: 0.002 s
% 0.18/0.51 % (18103)Instructions burned: 3 (million)
% 0.18/0.51 % (18103)------------------------------
% 0.18/0.51 % (18103)------------------------------
% 0.18/0.51 % (18121)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (18116)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.51 % (18095)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)
% 0.18/0.52 % (18105)First to succeed.
% 0.18/0.52 % (18125)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52 % (18122)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)
% 0.18/0.52 % (18110)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)
% 0.18/0.52 % (18097)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)
% 0.18/0.52 % (18123)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)
% 0.18/0.52 % (18117)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 % (18096)Instruction limit reached!
% 0.18/0.52 % (18096)------------------------------
% 0.18/0.52 % (18096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (18096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (18096)Termination reason: Unknown
% 0.18/0.52 % (18096)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (18096)Memory used [KB]: 1535
% 0.18/0.52 % (18096)Time elapsed: 0.018 s
% 0.18/0.52 % (18096)Instructions burned: 38 (million)
% 0.18/0.52 % (18096)------------------------------
% 0.18/0.52 % (18096)------------------------------
% 0.18/0.53 % (18104)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (18102)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (18113)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (18119)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)
% 0.18/0.53 % (18102)Instruction limit reached!
% 0.18/0.53 % (18102)------------------------------
% 0.18/0.53 % (18102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (18102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (18102)Termination reason: Unknown
% 0.18/0.53 % (18102)Termination phase: Function definition elimination
% 0.18/0.53
% 0.18/0.53 % (18102)Memory used [KB]: 1279
% 0.18/0.53 % (18102)Time elapsed: 0.004 s
% 0.18/0.53 % (18102)Instructions burned: 9 (million)
% 0.18/0.53 % (18102)------------------------------
% 0.18/0.53 % (18102)------------------------------
% 0.18/0.53 % (18111)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)
% 0.18/0.53 % (18120)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (18112)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (18115)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)
% 0.18/0.54 % (18109)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (18124)Also succeeded, but the first one will report.
% 0.18/0.54 % (18105)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Theorem for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (18105)------------------------------
% 0.18/0.55 % (18105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (18105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (18105)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (18105)Memory used [KB]: 7164
% 0.18/0.55 % (18105)Time elapsed: 0.029 s
% 0.18/0.55 % (18105)Instructions burned: 34 (million)
% 0.18/0.55 % (18105)------------------------------
% 0.18/0.55 % (18105)------------------------------
% 0.18/0.55 % (18091)Success in time 0.206 s
%------------------------------------------------------------------------------