TSTP Solution File: ALG091+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 15:39:26 EDT 2022
% Result : Theorem 2.00s 0.60s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 249
% Syntax : Number of formulae : 760 ( 80 unt; 0 def)
% Number of atoms : 4051 (2547 equ)
% Maximal formula atoms : 440 ( 5 avg)
% Number of connectives : 5422 (2131 ~;1907 |;1237 &)
% ( 147 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 247 ( 245 usr; 246 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2354,plain,
$false,
inference(avatar_sat_refutation,[],[f934,f943,f961,f979,f988,f997,f1029,f1038,f1084,f1102,f1226,f1262,f1286,f1295,f1371,f1381,f1439,f1468,f1556,f1566,f1575,f1581,f1618,f1632,f1633,f1639,f1669,f1698,f1704,f1705,f1830,f1831,f1843,f1852,f1859,f1860,f1865,f1878,f1891,f1900,f1905,f1914,f1923,f1929,f1931,f1938,f1943,f1949,f1950,f1951,f1952,f1975,f1979,f1981,f1986,f1990,f1993,f2008,f2010,f2011,f2037,f2040,f2043,f2061,f2062,f2063,f2068,f2085,f2088,f2089,f2094,f2096,f2097,f2105,f2106,f2107,f2114,f2117,f2119,f2121,f2123,f2129,f2135,f2143,f2144,f2145,f2150,f2162,f2163,f2166,f2171,f2174,f2179,f2183,f2187,f2188,f2194,f2195,f2196,f2206,f2210,f2211,f2212,f2213,f2216,f2220,f2221,f2223,f2224,f2232,f2233,f2236,f2238,f2243,f2245,f2247,f2251,f2252,f2257,f2259,f2260,f2262,f2264,f2267,f2268,f2270,f2272,f2273,f2274,f2275,f2276,f2279,f2284,f2288,f2291,f2295,f2300,f2305,f2315,f2319,f2323,f2326,f2331,f2335,f2339,f2344,f2348,f2353]) ).
fof(f2353,plain,
( ~ spl98_101
| ~ spl98_158
| spl98_208 ),
inference(avatar_contradiction_clause,[],[f2352]) ).
fof(f2352,plain,
( $false
| ~ spl98_101
| ~ spl98_158
| spl98_208 ),
inference(subsumption_resolution,[],[f2351,f1911]) ).
fof(f1911,plain,
( e3 != unit
| spl98_208 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1909,plain,
( spl98_208
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_208])]) ).
fof(f2351,plain,
( e3 = unit
| ~ spl98_101
| ~ spl98_158 ),
inference(forward_demodulation,[],[f1651,f1369]) ).
fof(f1369,plain,
( op(e4,e4) = unit
| ~ spl98_101 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1368,plain,
( spl98_101
<=> op(e4,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_101])]) ).
fof(f1651,plain,
( e3 = op(e4,e4)
| ~ spl98_158 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f1650,plain,
( spl98_158
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_158])]) ).
fof(f2348,plain,
( ~ spl98_17
| ~ spl98_169
| spl98_208 ),
inference(avatar_contradiction_clause,[],[f2347]) ).
fof(f2347,plain,
( $false
| ~ spl98_17
| ~ spl98_169
| spl98_208 ),
inference(subsumption_resolution,[],[f2346,f1911]) ).
fof(f2346,plain,
( e3 = unit
| ~ spl98_17
| ~ spl98_169 ),
inference(forward_demodulation,[],[f1709,f982]) ).
fof(f982,plain,
( unit = op(unit,unit)
| ~ spl98_17 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl98_17
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_17])]) ).
fof(f1709,plain,
( e3 = op(unit,unit)
| ~ spl98_169 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1708,plain,
( spl98_169
<=> e3 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_169])]) ).
fof(f2344,plain,
( ~ spl98_93
| spl98_204
| ~ spl98_221 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2343,plain,
( $false
| ~ spl98_93
| spl98_204
| ~ spl98_221 ),
inference(subsumption_resolution,[],[f2342,f1876]) ).
fof(f1876,plain,
( e1 != unit
| spl98_204 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f1874,plain,
( spl98_204
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_204])]) ).
fof(f2342,plain,
( e1 = unit
| ~ spl98_93
| ~ spl98_221 ),
inference(forward_demodulation,[],[f1332,f2024]) ).
fof(f2024,plain,
( op(e2,e2) = unit
| ~ spl98_221 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2022,plain,
( spl98_221
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_221])]) ).
fof(f1332,plain,
( e1 = op(e2,e2)
| ~ spl98_93 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl98_93
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_93])]) ).
fof(f2339,plain,
( ~ spl98_85
| ~ spl98_179
| spl98_205 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2338,plain,
( $false
| ~ spl98_85
| ~ spl98_179
| spl98_205 ),
inference(subsumption_resolution,[],[f2337,f1887]) ).
fof(f1887,plain,
( e2 != unit
| spl98_205 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1885,plain,
( spl98_205
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_205])]) ).
fof(f2337,plain,
( e2 = unit
| ~ spl98_85
| ~ spl98_179 ),
inference(forward_demodulation,[],[f1753,f1293]) ).
fof(f1293,plain,
( op(e3,e3) = unit
| ~ spl98_85 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl98_85
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_85])]) ).
fof(f1753,plain,
( e2 = op(e3,e3)
| ~ spl98_179 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1751,plain,
( spl98_179
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_179])]) ).
fof(f2335,plain,
( ~ spl98_17
| ~ spl98_200
| spl98_204 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2334,plain,
( $false
| ~ spl98_17
| ~ spl98_200
| spl98_204 ),
inference(subsumption_resolution,[],[f2333,f1876]) ).
fof(f2333,plain,
( e1 = unit
| ~ spl98_17
| ~ spl98_200 ),
inference(forward_demodulation,[],[f1846,f982]) ).
fof(f1846,plain,
( e1 = op(unit,unit)
| ~ spl98_200 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f1845,plain,
( spl98_200
<=> e1 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_200])]) ).
fof(f2331,plain,
( ~ spl98_39
| ~ spl98_41
| spl98_208 ),
inference(avatar_contradiction_clause,[],[f2330]) ).
fof(f2330,plain,
( $false
| ~ spl98_39
| ~ spl98_41
| spl98_208 ),
inference(subsumption_resolution,[],[f2329,f1911]) ).
fof(f2329,plain,
( e3 = unit
| ~ spl98_39
| ~ spl98_41 ),
inference(forward_demodulation,[],[f1091,f1082]) ).
fof(f1082,plain,
( op(e1,e1) = unit
| ~ spl98_39 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1081,plain,
( spl98_39
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_39])]) ).
fof(f1091,plain,
( e3 = op(e1,e1)
| ~ spl98_41 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1090,plain,
( spl98_41
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_41])]) ).
fof(f2326,plain,
( spl98_208
| ~ spl98_212
| ~ spl98_221 ),
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2325,plain,
( $false
| spl98_208
| ~ spl98_212
| ~ spl98_221 ),
inference(subsumption_resolution,[],[f2324,f1911]) ).
fof(f2324,plain,
( e3 = unit
| ~ spl98_212
| ~ spl98_221 ),
inference(forward_demodulation,[],[f1942,f2024]) ).
fof(f1942,plain,
( e3 = op(e2,e2)
| ~ spl98_212 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1940,plain,
( spl98_212
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_212])]) ).
fof(f2323,plain,
( ~ spl98_101
| ~ spl98_126
| spl98_220 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2322,plain,
( $false
| ~ spl98_101
| ~ spl98_126
| spl98_220 ),
inference(subsumption_resolution,[],[f2321,f2018]) ).
fof(f2018,plain,
( e4 != unit
| spl98_220 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2016,plain,
( spl98_220
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl98_220])]) ).
fof(f2321,plain,
( e4 = unit
| ~ spl98_101
| ~ spl98_126 ),
inference(forward_demodulation,[],[f1491,f1369]) ).
fof(f1491,plain,
( e4 = op(e4,e4)
| ~ spl98_126 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1490,plain,
( spl98_126
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_126])]) ).
fof(f2319,plain,
( ~ spl98_17
| ~ spl98_122
| spl98_220 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2318,plain,
( $false
| ~ spl98_17
| ~ spl98_122
| spl98_220 ),
inference(subsumption_resolution,[],[f2317,f2018]) ).
fof(f2317,plain,
( e4 = unit
| ~ spl98_17
| ~ spl98_122 ),
inference(forward_demodulation,[],[f1471,f982]) ).
fof(f1471,plain,
( e4 = op(unit,unit)
| ~ spl98_122 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1470,plain,
( spl98_122
<=> e4 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_122])]) ).
fof(f2315,plain,
( ~ spl98_64
| spl98_220
| ~ spl98_221 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
fof(f2314,plain,
( $false
| ~ spl98_64
| spl98_220
| ~ spl98_221 ),
inference(subsumption_resolution,[],[f2313,f2018]) ).
fof(f2313,plain,
( e4 = unit
| ~ spl98_64
| ~ spl98_221 ),
inference(backward_demodulation,[],[f1196,f2024]) ).
fof(f1196,plain,
( e4 = op(e2,e2)
| ~ spl98_64 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1195,plain,
( spl98_64
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_64])]) ).
fof(f2305,plain,
( ~ spl98_39
| spl98_205
| ~ spl98_217 ),
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2304,plain,
( $false
| ~ spl98_39
| spl98_205
| ~ spl98_217 ),
inference(subsumption_resolution,[],[f2303,f1887]) ).
fof(f2303,plain,
( e2 = unit
| ~ spl98_39
| ~ spl98_217 ),
inference(forward_demodulation,[],[f1985,f1082]) ).
fof(f1985,plain,
( e2 = op(e1,e1)
| ~ spl98_217 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f1983,plain,
( spl98_217
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_217])]) ).
fof(f2300,plain,
( ~ spl98_39
| ~ spl98_76
| spl98_220 ),
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2299,plain,
( $false
| ~ spl98_39
| ~ spl98_76
| spl98_220 ),
inference(subsumption_resolution,[],[f2298,f2018]) ).
fof(f2298,plain,
( e4 = unit
| ~ spl98_39
| ~ spl98_76 ),
inference(forward_demodulation,[],[f1251,f1082]) ).
fof(f1251,plain,
( e4 = op(e1,e1)
| ~ spl98_76 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1250,plain,
( spl98_76
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_76])]) ).
fof(f2295,plain,
( ~ spl98_85
| spl98_204
| ~ spl98_223 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2294,plain,
( $false
| ~ spl98_85
| spl98_204
| ~ spl98_223 ),
inference(subsumption_resolution,[],[f2293,f1876]) ).
fof(f2293,plain,
( e1 = unit
| ~ spl98_85
| ~ spl98_223 ),
inference(forward_demodulation,[],[f2047,f1293]) ).
fof(f2047,plain,
( e1 = op(e3,e3)
| ~ spl98_223 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2046,plain,
( spl98_223
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_223])]) ).
fof(f2291,plain,
( ~ spl98_101
| ~ spl98_140
| spl98_205 ),
inference(avatar_contradiction_clause,[],[f2290]) ).
fof(f2290,plain,
( $false
| ~ spl98_101
| ~ spl98_140
| spl98_205 ),
inference(subsumption_resolution,[],[f2289,f1887]) ).
fof(f2289,plain,
( e2 = unit
| ~ spl98_101
| ~ spl98_140 ),
inference(forward_demodulation,[],[f1561,f1369]) ).
fof(f1561,plain,
( e2 = op(e4,e4)
| ~ spl98_140 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl98_140
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_140])]) ).
fof(f2288,plain,
( ~ spl98_7
| ~ spl98_85
| spl98_220 ),
inference(avatar_contradiction_clause,[],[f2287]) ).
fof(f2287,plain,
( $false
| ~ spl98_7
| ~ spl98_85
| spl98_220 ),
inference(subsumption_resolution,[],[f2286,f2018]) ).
fof(f2286,plain,
( e4 = unit
| ~ spl98_7
| ~ spl98_85 ),
inference(forward_demodulation,[],[f938,f1293]) ).
fof(f938,plain,
( e4 = op(e3,e3)
| ~ spl98_7 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl98_7
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_7])]) ).
fof(f2284,plain,
( ~ spl98_23
| ~ spl98_101
| spl98_204 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2283,plain,
( $false
| ~ spl98_23
| ~ spl98_101
| spl98_204 ),
inference(subsumption_resolution,[],[f2282,f1876]) ).
fof(f2282,plain,
( e1 = unit
| ~ spl98_23
| ~ spl98_101 ),
inference(backward_demodulation,[],[f1009,f1369]) ).
fof(f1009,plain,
( e1 = op(e4,e4)
| ~ spl98_23 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1008,plain,
( spl98_23
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_23])]) ).
fof(f2279,plain,
( ~ spl98_17
| ~ spl98_20
| spl98_205 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
fof(f2278,plain,
( $false
| ~ spl98_17
| ~ spl98_20
| spl98_205 ),
inference(subsumption_resolution,[],[f2277,f1887]) ).
fof(f2277,plain,
( e2 = unit
| ~ spl98_17
| ~ spl98_20 ),
inference(forward_demodulation,[],[f996,f982]) ).
fof(f996,plain,
( e2 = op(unit,unit)
| ~ spl98_20 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl98_20
<=> e2 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_20])]) ).
fof(f2276,plain,
spl98_161,
inference(avatar_split_clause,[],[f683,f1666]) ).
fof(f1666,plain,
( spl98_161
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_161])]) ).
fof(f683,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f225,f239]) ).
fof(f239,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f225,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e3 = op(e2,e4)
& e3 = op(e0,e3)
& e1 = op(e0,e1)
& e4 = op(e1,e3)
& e4 = op(e0,e4)
& e2 = op(e0,e2)
& e2 = op(e4,e3)
& e1 = op(e2,e3)
& e4 = op(e2,e1)
& e2 = op(e3,e1)
& e2 = op(e2,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3)
& e1 = op(e1,e0)
& e3 = op(e1,e2)
& e1 = op(e3,e4)
& e3 = op(e4,e1)
& e4 = op(e3,e2)
& e1 = op(e4,e2)
& e0 = op(e4,e4)
& e3 = op(e3,e0)
& e0 = op(e0,e0)
& e4 = op(e4,e0)
& e0 = op(e1,e1)
& e2 = op(e1,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2275,plain,
spl98_213,
inference(avatar_split_clause,[],[f238,f1946]) ).
fof(f1946,plain,
( spl98_213
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_213])]) ).
fof(f238,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2274,plain,
spl98_207,
inference(avatar_split_clause,[],[f230,f1902]) ).
fof(f1902,plain,
( spl98_207
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_207])]) ).
fof(f230,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2273,plain,
~ spl98_220,
inference(avatar_split_clause,[],[f674,f2016]) ).
fof(f674,plain,
e4 != unit,
inference(definition_unfolding,[],[f207,f239]) ).
fof(f207,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e3 != e4
& e0 != e1
& e0 != e2
& e1 != e2
& e1 != e3
& e1 != e4
& e0 != e4
& e2 != e3
& e2 != e4
& e0 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2272,plain,
( ~ spl98_128
| ~ spl98_78 ),
inference(avatar_split_clause,[],[f799,f1259,f1500]) ).
fof(f1500,plain,
( spl98_128
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_128])]) ).
fof(f1259,plain,
( spl98_78
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_78])]) ).
fof(f799,plain,
( e4 != op(e4,unit)
| ~ sP43 ),
inference(definition_unfolding,[],[f445,f239]) ).
fof(f445,plain,
( e4 != op(e4,e0)
| ~ sP43 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e1) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f2270,plain,
( ~ spl98_161
| ~ spl98_67 ),
inference(avatar_split_clause,[],[f743,f1209,f1666]) ).
fof(f1209,plain,
( spl98_67
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_67])]) ).
fof(f743,plain,
( ~ sP62
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f350,f239]) ).
fof(f350,plain,
( e1 != op(e1,e0)
| ~ sP62 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e1 != op(e4,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 != op(e4,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f2268,plain,
( ~ spl98_172
| ~ spl98_145 ),
inference(avatar_split_clause,[],[f830,f1583,f1723]) ).
fof(f1723,plain,
( spl98_172
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_172])]) ).
fof(f1583,plain,
( spl98_145
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_145])]) ).
fof(f830,plain,
( ~ sP32
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f503,f239]) ).
fof(f503,plain,
( e1 != op(e0,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e1 != op(e0,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e1 != op(e0,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2267,plain,
spl98_155,
inference(avatar_split_clause,[],[f223,f1636]) ).
fof(f1636,plain,
( spl98_155
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_155])]) ).
fof(f223,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2264,plain,
( ~ spl98_194
| spl98_41 ),
inference(avatar_split_clause,[],[f260,f1090,f1811]) ).
fof(f1811,plain,
( spl98_194
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_194])]) ).
fof(f260,plain,
( e3 = op(e1,e1)
| ~ sP87 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f2262,plain,
( ~ spl98_116
| ~ spl98_209 ),
inference(avatar_split_clause,[],[f394,f1920,f1441]) ).
fof(f1441,plain,
( spl98_116
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_116])]) ).
fof(f1920,plain,
( spl98_209
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_209])]) ).
fof(f394,plain,
( e1 != op(e2,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e2)
& e1 != op(e2,e4)
& e1 != op(e2,e3) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e2)
& e1 != op(e2,e4)
& e1 != op(e2,e3) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f2260,plain,
~ spl98_189,
inference(avatar_split_clause,[],[f899,f1791]) ).
fof(f1791,plain,
( spl98_189
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_189])]) ).
fof(f899,plain,
~ sP14,
inference(trivial_inequality_removal,[],[f860]) ).
fof(f860,plain,
( unit != unit
| ~ sP14 ),
inference(definition_unfolding,[],[f593,f239]) ).
fof(f593,plain,
( e0 != unit
| ~ sP14 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e0 != unit
& e3 != unit
& e4 != unit
& e2 != unit
& e1 != unit )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e0 != unit
& e3 != unit
& e4 != unit
& e2 != unit
& e1 != unit )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2259,plain,
( ~ spl98_90
| ~ spl98_174 ),
inference(avatar_split_clause,[],[f876,f1731,f1317]) ).
fof(f1317,plain,
( spl98_90
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_90])]) ).
fof(f1731,plain,
( spl98_174
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_174])]) ).
fof(f876,plain,
( e4 != op(unit,e4)
| ~ sP8 ),
inference(definition_unfolding,[],[f621,f239]) ).
fof(f621,plain,
( e4 != op(e0,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2257,plain,
( ~ spl98_144
| ~ spl98_153 ),
inference(avatar_split_clause,[],[f535,f1625,f1577]) ).
fof(f1577,plain,
( spl98_144
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_144])]) ).
fof(f1625,plain,
( spl98_153
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_153])]) ).
fof(f535,plain,
( e2 != op(e4,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f2252,plain,
( ~ spl98_59
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f290,f1572,f1173]) ).
fof(f1173,plain,
( spl98_59
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_59])]) ).
fof(f1572,plain,
( spl98_143
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_143])]) ).
fof(f290,plain,
( e3 != op(e1,e2)
| ~ sP74 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f2251,plain,
spl98_210,
inference(avatar_split_clause,[],[f229,f1926]) ).
fof(f1926,plain,
( spl98_210
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_210])]) ).
fof(f229,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2247,plain,
( ~ spl98_15
| ~ spl98_13 ),
inference(avatar_split_clause,[],[f730,f963,f972]) ).
fof(f972,plain,
( spl98_15
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_15])]) ).
fof(f963,plain,
( spl98_13
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_13])]) ).
fof(f730,plain,
( ~ sP67
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f325,f239]) ).
fof(f325,plain,
( e2 != op(e0,e2)
| ~ sP67 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f2245,plain,
( ~ spl98_207
| ~ spl98_75 ),
inference(avatar_split_clause,[],[f637,f1246,f1902]) ).
fof(f1246,plain,
( spl98_75
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_75])]) ).
fof(f637,plain,
( ~ sP5
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e4 != op(e0,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e4 != op(e0,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2243,plain,
( ~ spl98_182
| ~ spl98_101 ),
inference(avatar_split_clause,[],[f871,f1368,f1763]) ).
fof(f1763,plain,
( spl98_182
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_182])]) ).
fof(f871,plain,
( op(e4,e4) != unit
| ~ sP11 ),
inference(definition_unfolding,[],[f604,f239]) ).
fof(f604,plain,
( e0 != op(e4,e4)
| ~ sP11 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0)
& e0 != op(e4,e4) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0)
& e0 != op(e4,e4) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f2238,plain,
( ~ spl98_171
| ~ spl98_155 ),
inference(avatar_split_clause,[],[f645,f1636,f1719]) ).
fof(f1719,plain,
( spl98_171
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_171])]) ).
fof(f645,plain,
( e1 != op(e3,e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e4 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e4 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2236,plain,
spl98_78,
inference(avatar_split_clause,[],[f687,f1259]) ).
fof(f687,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f216,f239]) ).
fof(f216,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2233,plain,
spl98_17,
inference(avatar_split_clause,[],[f686,f981]) ).
fof(f686,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f217,f239,f239,f239]) ).
fof(f217,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2232,plain,
( ~ spl98_178
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f750,f1407,f1747]) ).
fof(f1747,plain,
( spl98_178
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_178])]) ).
fof(f1407,plain,
( spl98_109
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_109])]) ).
fof(f750,plain,
( ~ sP60
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f363,f239]) ).
fof(f363,plain,
( e2 != op(e2,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0)
& e2 != op(e0,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0)
& e2 != op(e0,e0) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f2224,plain,
( ~ spl98_188
| spl98_158 ),
inference(avatar_split_clause,[],[f249,f1650,f1787]) ).
fof(f1787,plain,
( spl98_188
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_188])]) ).
fof(f249,plain,
( e3 = op(e4,e4)
| ~ sP93 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP93 ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f2223,plain,
( ~ spl98_39
| ~ spl98_86 ),
inference(avatar_split_clause,[],[f792,f1297,f1081]) ).
fof(f1297,plain,
( spl98_86
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_86])]) ).
fof(f792,plain,
( ~ sP46
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f432,f239]) ).
fof(f432,plain,
( e0 != op(e1,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f2221,plain,
( ~ spl98_85
| ~ spl98_56 ),
inference(avatar_split_clause,[],[f889,f1159,f1292]) ).
fof(f1159,plain,
( spl98_56
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_56])]) ).
fof(f889,plain,
( ~ sP0
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f660,f239]) ).
fof(f660,plain,
( e0 != op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2220,plain,
spl98_209,
inference(avatar_split_clause,[],[f231,f1920]) ).
fof(f231,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2216,plain,
( ~ spl98_96
| ~ spl98_207 ),
inference(avatar_split_clause,[],[f602,f1902,f1345]) ).
fof(f1345,plain,
( spl98_96
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_96])]) ).
fof(f602,plain,
( e4 != op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e2 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e2 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2213,plain,
spl98_202,
inference(avatar_split_clause,[],[f235,f1862]) ).
fof(f1862,plain,
( spl98_202
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_202])]) ).
fof(f235,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2212,plain,
( ~ spl98_219
| ~ spl98_164 ),
inference(avatar_split_clause,[],[f525,f1680,f2005]) ).
fof(f2005,plain,
( spl98_219
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_219])]) ).
fof(f1680,plain,
( spl98_164
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_164])]) ).
fof(f525,plain,
( ~ sP27
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f2211,plain,
( ~ spl98_68
| ~ spl98_178 ),
inference(avatar_split_clause,[],[f793,f1747,f1214]) ).
fof(f1214,plain,
( spl98_68
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_68])]) ).
fof(f793,plain,
( e2 != op(e2,unit)
| ~ sP45 ),
inference(definition_unfolding,[],[f438,f239]) ).
fof(f438,plain,
( e2 != op(e2,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e2 != op(e2,e0)
& e4 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e2 != op(e2,e0)
& e4 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f2210,plain,
( ~ spl98_143
| ~ spl98_74 ),
inference(avatar_split_clause,[],[f330,f1241,f1572]) ).
fof(f1241,plain,
( spl98_74
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_74])]) ).
fof(f330,plain,
( ~ sP66
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e3 != op(e4,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e3,e2) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e3 != op(e4,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e3,e2) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f2206,plain,
( ~ spl98_45
| spl98_23 ),
inference(avatar_split_clause,[],[f277,f1008,f1108]) ).
fof(f1108,plain,
( spl98_45
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_45])]) ).
fof(f277,plain,
( e1 = op(e4,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f2196,plain,
( ~ spl98_2
| ~ spl98_153 ),
inference(avatar_split_clause,[],[f567,f1625,f913]) ).
fof(f913,plain,
( spl98_2
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_2])]) ).
fof(f567,plain,
( e2 != op(e4,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f2195,plain,
( ~ spl98_78
| ~ spl98_192 ),
inference(avatar_split_clause,[],[f693,f1803,f1259]) ).
fof(f1803,plain,
( spl98_192
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_192])]) ).
fof(f693,plain,
( ~ sP90
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f255,f239]) ).
fof(f255,plain,
( e4 != op(e4,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP90 ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f2194,plain,
( ~ spl98_5
| ~ spl98_166 ),
inference(avatar_split_clause,[],[f642,f1690,f927]) ).
fof(f927,plain,
( spl98_5
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_5])]) ).
fof(f1690,plain,
( spl98_166
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_166])]) ).
fof(f642,plain,
( ~ sP4
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e3,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e3,e4) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2188,plain,
~ spl98_205,
inference(avatar_split_clause,[],[f673,f1885]) ).
fof(f673,plain,
e2 != unit,
inference(definition_unfolding,[],[f211,f239]) ).
fof(f211,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f2187,plain,
( ~ spl98_202
| ~ spl98_170 ),
inference(avatar_split_clause,[],[f520,f1714,f1862]) ).
fof(f1714,plain,
( spl98_170
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_170])]) ).
fof(f520,plain,
( ~ sP28
| e4 != op(e1,e3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f2183,plain,
spl98_39,
inference(avatar_split_clause,[],[f688,f1081]) ).
fof(f688,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f215,f239]) ).
fof(f215,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2179,plain,
( ~ spl98_191
| ~ spl98_120 ),
inference(avatar_split_clause,[],[f256,f1460,f1799]) ).
fof(f1799,plain,
( spl98_191
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_191])]) ).
fof(f1460,plain,
( spl98_120
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_120])]) ).
fof(f256,plain,
( e3 != op(e3,e3)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP89 ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f2174,plain,
~ spl98_208,
inference(avatar_split_clause,[],[f675,f1909]) ).
fof(f675,plain,
e3 != unit,
inference(definition_unfolding,[],[f204,f239]) ).
fof(f204,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f2171,plain,
( ~ spl98_221
| ~ spl98_63 ),
inference(avatar_split_clause,[],[f824,f1191,f2022]) ).
fof(f1191,plain,
( spl98_63
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_63])]) ).
fof(f824,plain,
( ~ sP34
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f491,f239]) ).
fof(f491,plain,
( e0 != op(e2,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e2 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e2 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f2166,plain,
( ~ spl98_110
| ~ spl98_28 ),
inference(avatar_split_clause,[],[f338,f1031,f1412]) ).
fof(f1412,plain,
( spl98_110
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_110])]) ).
fof(f1031,plain,
( spl98_28
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_28])]) ).
fof(f338,plain,
( e4 != op(e3,e2)
| ~ sP65 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f2163,plain,
spl98_101,
inference(avatar_split_clause,[],[f684,f1368]) ).
fof(f684,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f219,f239]) ).
fof(f219,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2162,plain,
( ~ spl98_82
| ~ spl98_83 ),
inference(avatar_split_clause,[],[f263,f1283,f1279]) ).
fof(f1279,plain,
( spl98_82
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_82])]) ).
fof(f1283,plain,
( spl98_83
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_83])]) ).
fof(f263,plain,
( ~ sP86
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f2150,plain,
( ~ spl98_186
| ~ spl98_161 ),
inference(avatar_split_clause,[],[f699,f1666,f1779]) ).
fof(f1779,plain,
( spl98_186
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_186])]) ).
fof(f699,plain,
( e1 != op(e1,unit)
| ~ sP83 ),
inference(definition_unfolding,[],[f269,f239]) ).
fof(f269,plain,
( e1 != op(e1,e0)
| ~ sP83 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f2145,plain,
( ~ spl98_178
| ~ spl98_185 ),
inference(avatar_split_clause,[],[f705,f1775,f1747]) ).
fof(f1775,plain,
( spl98_185
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_185])]) ).
fof(f705,plain,
( ~ sP76
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f283,f239]) ).
fof(f283,plain,
( e2 != op(e2,e0)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f2144,plain,
( ~ spl98_87
| ~ spl98_202 ),
inference(avatar_split_clause,[],[f399,f1862,f1302]) ).
fof(f1302,plain,
( spl98_87
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_87])]) ).
fof(f399,plain,
( e4 != op(e1,e3)
| ~ sP52 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e1)
& e4 != op(e1,e3) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e1)
& e4 != op(e1,e3) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f2143,plain,
( ~ spl98_176
| spl98_122 ),
inference(avatar_split_clause,[],[f701,f1470,f1739]) ).
fof(f1739,plain,
( spl98_176
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_176])]) ).
fof(f701,plain,
( e4 = op(unit,unit)
| ~ sP80 ),
inference(definition_unfolding,[],[f275,f239,f239]) ).
fof(f275,plain,
( e4 = op(e0,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f2135,plain,
spl98_219,
inference(avatar_split_clause,[],[f220,f2005]) ).
fof(f220,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2129,plain,
spl98_70,
inference(avatar_split_clause,[],[f222,f1223]) ).
fof(f1223,plain,
( spl98_70
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_70])]) ).
fof(f222,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2123,plain,
( spl98_200
| ~ spl98_180 ),
inference(avatar_split_clause,[],[f696,f1755,f1845]) ).
fof(f1755,plain,
( spl98_180
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_180])]) ).
fof(f696,plain,
( ~ sP88
| e1 = op(unit,unit) ),
inference(definition_unfolding,[],[f258,f239,f239]) ).
fof(f258,plain,
( e1 = op(e0,e0)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e0 != op(e0,e1)
& e1 = op(e0,e0) )
| ~ sP88 ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e0 != op(e0,e1)
& e1 = op(e0,e0) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f2121,plain,
( spl98_223
| ~ spl98_190 ),
inference(avatar_split_clause,[],[f245,f1795,f2046]) ).
fof(f1795,plain,
( spl98_190
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_190])]) ).
fof(f245,plain,
( ~ sP95
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP95 ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f2119,plain,
( ~ spl98_174
| ~ spl98_37 ),
inference(avatar_split_clause,[],[f734,f1072,f1731]) ).
fof(f1072,plain,
( spl98_37
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_37])]) ).
fof(f734,plain,
( ~ sP64
| e4 != op(unit,e4) ),
inference(definition_unfolding,[],[f339,f239]) ).
fof(f339,plain,
( e4 != op(e0,e4)
| ~ sP64 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e4 != op(e4,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e0,e4) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e4 != op(e4,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e0,e4) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f2117,plain,
( spl98_169
| ~ spl98_193 ),
inference(avatar_split_clause,[],[f690,f1807,f1708]) ).
fof(f1807,plain,
( spl98_193
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_193])]) ).
fof(f690,plain,
( ~ sP94
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f246,f239,f239]) ).
fof(f246,plain,
( e3 = op(e0,e0)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP94 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f2114,plain,
( ~ spl98_219
| ~ spl98_25 ),
inference(avatar_split_clause,[],[f453,f1017,f2005]) ).
fof(f1017,plain,
( spl98_25
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_25])]) ).
fof(f453,plain,
( ~ sP42
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f2107,plain,
( ~ spl98_78
| ~ spl98_107 ),
inference(avatar_split_clause,[],[f766,f1398,f1259]) ).
fof(f1398,plain,
( spl98_107
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_107])]) ).
fof(f766,plain,
( ~ sP55
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f385,f239]) ).
fof(f385,plain,
( e4 != op(e4,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e4 != op(e2,e0)
& e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e3,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e4 != op(e2,e0)
& e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e3,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f2106,plain,
spl98_85,
inference(avatar_split_clause,[],[f682,f1292]) ).
fof(f682,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f226,f239]) ).
fof(f226,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2105,plain,
( spl98_76
| ~ spl98_173 ),
inference(avatar_split_clause,[],[f241,f1727,f1250]) ).
fof(f1727,plain,
( spl98_173
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_173])]) ).
fof(f241,plain,
( ~ sP97
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP97 ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f2097,plain,
( ~ spl98_191
| spl98_120 ),
inference(avatar_split_clause,[],[f257,f1460,f1799]) ).
fof(f257,plain,
( e3 = op(e3,e3)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f2096,plain,
( ~ spl98_172
| ~ spl98_138 ),
inference(avatar_split_clause,[],[f761,f1547,f1723]) ).
fof(f1547,plain,
( spl98_138
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_138])]) ).
fof(f761,plain,
( ~ sP57
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f374,f239]) ).
fof(f374,plain,
( e1 != op(e0,e1)
| ~ sP57 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4)
& e1 != op(e0,e1) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4)
& e1 != op(e0,e1) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f2094,plain,
( ~ spl98_221
| ~ spl98_58 ),
inference(avatar_split_clause,[],[f746,f1168,f2022]) ).
fof(f1168,plain,
( spl98_58
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_58])]) ).
fof(f746,plain,
( ~ sP61
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f357,f239]) ).
fof(f357,plain,
( e0 != op(e2,e2)
| ~ sP61 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e0,e2) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e0,e2) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f2089,plain,
( ~ spl98_221
| ~ spl98_21 ),
inference(avatar_split_clause,[],[f828,f999,f2022]) ).
fof(f999,plain,
( spl98_21
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_21])]) ).
fof(f828,plain,
( ~ sP33
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f495,f239]) ).
fof(f495,plain,
( e0 != op(e2,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e4)
& e0 != op(e2,e2)
& e0 != op(e2,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e4)
& e0 != op(e2,e2)
& e0 != op(e2,e1) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f2088,plain,
( ~ spl98_210
| ~ spl98_156 ),
inference(avatar_split_clause,[],[f313,f1641,f1926]) ).
fof(f1641,plain,
( spl98_156
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_156])]) ).
fof(f313,plain,
( ~ sP70
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f2085,plain,
( ~ spl98_178
| ~ spl98_132 ),
inference(avatar_split_clause,[],[f880,f1518,f1747]) ).
fof(f1518,plain,
( spl98_132
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_132])]) ).
fof(f880,plain,
( ~ sP6
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f633,f239]) ).
fof(f633,plain,
( e2 != op(e2,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2068,plain,
spl98_221,
inference(avatar_split_clause,[],[f681,f2022]) ).
fof(f681,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f227,f239]) ).
fof(f227,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2063,plain,
spl98_5,
inference(avatar_split_clause,[],[f214,f927]) ).
fof(f214,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2062,plain,
spl98_15,
inference(avatar_split_clause,[],[f679,f972]) ).
fof(f679,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f233,f239]) ).
fof(f233,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2061,plain,
( ~ spl98_72
| ~ spl98_213 ),
inference(avatar_split_clause,[],[f627,f1946,f1232]) ).
fof(f1232,plain,
( spl98_72
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_72])]) ).
fof(f627,plain,
( e3 != op(e2,e4)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e0 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e0 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2043,plain,
( ~ spl98_177
| spl98_64 ),
inference(avatar_split_clause,[],[f279,f1195,f1743]) ).
fof(f1743,plain,
( spl98_177
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_177])]) ).
fof(f279,plain,
( e4 = op(e2,e2)
| ~ sP78 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f2040,plain,
( ~ spl98_28
| ~ spl98_168 ),
inference(avatar_split_clause,[],[f514,f1700,f1031]) ).
fof(f1700,plain,
( spl98_168
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_168])]) ).
fof(f514,plain,
( ~ sP29
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e2) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e2) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f2037,plain,
( ~ spl98_17
| ~ spl98_150 ),
inference(avatar_split_clause,[],[f791,f1608,f981]) ).
fof(f1608,plain,
( spl98_150
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_150])]) ).
fof(f791,plain,
( ~ sP47
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f424,f239,f239,f239]) ).
fof(f424,plain,
( e0 != op(e0,e0)
| ~ sP47 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2011,plain,
spl98_178,
inference(avatar_split_clause,[],[f680,f1747]) ).
fof(f680,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f228,f239]) ).
fof(f228,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2010,plain,
spl98_174,
inference(avatar_split_clause,[],[f678,f1731]) ).
fof(f678,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f234,f239]) ).
fof(f234,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2008,plain,
( ~ spl98_10
| ~ spl98_219 ),
inference(avatar_split_clause,[],[f443,f2005,f949]) ).
fof(f949,plain,
( spl98_10
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_10])]) ).
fof(f443,plain,
( e1 != op(e4,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f1993,plain,
( ~ spl98_210
| ~ spl98_61 ),
inference(avatar_split_clause,[],[f364,f1182,f1926]) ).
fof(f1182,plain,
( spl98_61
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_61])]) ).
fof(f364,plain,
( ~ sP59
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e1 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e1 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f1990,plain,
spl98_11,
inference(avatar_split_clause,[],[f676,f954]) ).
fof(f954,plain,
( spl98_11
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_11])]) ).
fof(f676,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f237,f239]) ).
fof(f237,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1986,plain,
( ~ spl98_183
| spl98_217 ),
inference(avatar_split_clause,[],[f242,f1983,f1767]) ).
fof(f1767,plain,
( spl98_183
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_183])]) ).
fof(f242,plain,
( e2 = op(e1,e1)
| ~ sP96 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP96 ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f1981,plain,
( ~ spl98_40
| ~ spl98_70 ),
inference(avatar_split_clause,[],[f373,f1223,f1086]) ).
fof(f1086,plain,
( spl98_40
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_40])]) ).
fof(f373,plain,
( e3 != op(e4,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f1979,plain,
( ~ spl98_33
| ~ spl98_209 ),
inference(avatar_split_clause,[],[f405,f1920,f1053]) ).
fof(f1053,plain,
( spl98_33
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_33])]) ).
fof(f405,plain,
( e1 != op(e2,e3)
| ~ sP51 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e1 != op(e0,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e1 != op(e0,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1975,plain,
( ~ spl98_163
| ~ spl98_213 ),
inference(avatar_split_clause,[],[f294,f1946,f1675]) ).
fof(f1675,plain,
( spl98_163
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_163])]) ).
fof(f294,plain,
( e3 != op(e2,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e4) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e4) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1952,plain,
spl98_172,
inference(avatar_split_clause,[],[f677,f1723]) ).
fof(f677,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f236,f239]) ).
fof(f236,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1951,plain,
~ spl98_204,
inference(avatar_split_clause,[],[f672,f1874]) ).
fof(f672,plain,
e1 != unit,
inference(definition_unfolding,[],[f212,f239]) ).
fof(f212,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f1950,plain,
( ~ spl98_187
| spl98_93 ),
inference(avatar_split_clause,[],[f271,f1331,f1783]) ).
fof(f1783,plain,
( spl98_187
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_187])]) ).
fof(f271,plain,
( e1 = op(e2,e2)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f1949,plain,
( ~ spl98_213
| ~ spl98_79 ),
inference(avatar_split_clause,[],[f321,f1264,f1946]) ).
fof(f1264,plain,
( spl98_79
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_79])]) ).
fof(f321,plain,
( ~ sP68
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e1,e4) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e1,e4) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f1943,plain,
( spl98_84
| spl98_98
| spl98_186
| spl98_126
| spl98_168
| spl98_100
| spl98_109
| spl98_192
| spl98_171
| spl98_56
| spl98_34
| spl98_167
| spl98_16
| ~ spl98_17
| spl98_103
| spl98_163
| spl98_51
| spl98_77
| spl98_61
| spl98_107
| spl98_138
| spl98_6
| spl98_142
| spl98_156
| ~ spl98_161
| spl98_119
| ~ spl98_178
| spl98_170
| spl98_180
| spl98_21
| spl98_193
| spl98_96
| spl98_18
| spl98_139
| ~ spl98_11
| spl98_86
| spl98_182
| ~ spl98_15
| spl98_59
| spl98_121
| spl98_189
| spl98_164
| spl98_195
| spl98_188
| spl98_67
| spl98_31
| spl98_154
| spl98_183
| spl98_159
| spl98_212
| spl98_90
| spl98_141
| spl98_191
| spl98_87
| spl98_179
| spl98_72
| spl98_185
| spl98_128
| spl98_187
| spl98_74
| spl98_12
| spl98_145
| ~ spl98_78
| spl98_29
| spl98_75
| spl98_63
| spl98_83
| spl98_40
| spl98_173
| spl98_113
| spl98_194
| spl98_130
| spl98_148
| spl98_25
| spl98_2
| spl98_68
| spl98_13
| spl98_19
| spl98_45
| ~ spl98_172
| spl98_33
| spl98_10
| spl98_26
| spl98_42
| ~ spl98_174
| spl98_150
| spl98_116
| spl98_176
| spl98_110
| spl98_144
| spl98_8
| spl98_175
| spl98_37
| spl98_47
| spl98_184
| spl98_50
| spl98_3
| spl98_181
| spl98_49
| spl98_132
| spl98_166
| spl98_177
| spl98_151
| spl98_190
| ~ spl98_43
| spl98_115
| spl98_81
| spl98_79
| spl98_36
| spl98_58 ),
inference(avatar_split_clause,[],[f906,f1168,f1067,f1264,f1273,f1436,f1099,f1795,f1615,f1743,f1690,f1518,f1126,f1759,f918,f1131,f1771,f1117,f1072,f1735,f940,f1577,f1412,f1739,f1441,f1608,f1731,f1095,f1022,f949,f1053,f1723,f1108,f990,f963,f1214,f913,f1017,f1597,f1509,f1811,f1426,f1727,f1086,f1283,f1191,f1246,f1035,f1259,f1583,f958,f1241,f1783,f1500,f1775,f1232,f1751,f1302,f1799,f1563,f1317,f1940,f1656,f1767,f1629,f1044,f1209,f1787,f1815,f1680,f1791,f1465,f1173,f972,f1763,f1297,f954,f1552,f985,f1345,f1807,f999,f1755,f1714,f1747,f1455,f1666,f1641,f1568,f931,f1547,f1398,f1182,f1255,f1136,f1675,f1378,f981,f976,f1695,f1058,f1159,f1719,f1803,f1407,f1364,f1700,f1490,f1779,f1354,f1288]) ).
fof(f1288,plain,
( spl98_84
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_84])]) ).
fof(f1354,plain,
( spl98_98
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_98])]) ).
fof(f1364,plain,
( spl98_100
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_100])]) ).
fof(f1058,plain,
( spl98_34
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_34])]) ).
fof(f1695,plain,
( spl98_167
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_167])]) ).
fof(f976,plain,
( spl98_16
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_16])]) ).
fof(f1378,plain,
( spl98_103
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_103])]) ).
fof(f1136,plain,
( spl98_51
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_51])]) ).
fof(f1255,plain,
( spl98_77
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_77])]) ).
fof(f931,plain,
( spl98_6
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_6])]) ).
fof(f1568,plain,
( spl98_142
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_142])]) ).
fof(f1455,plain,
( spl98_119
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_119])]) ).
fof(f985,plain,
( spl98_18
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_18])]) ).
fof(f1552,plain,
( spl98_139
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_139])]) ).
fof(f1465,plain,
( spl98_121
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_121])]) ).
fof(f1815,plain,
( spl98_195
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_195])]) ).
fof(f1044,plain,
( spl98_31
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_31])]) ).
fof(f1629,plain,
( spl98_154
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_154])]) ).
fof(f1656,plain,
( spl98_159
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_159])]) ).
fof(f1563,plain,
( spl98_141
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_141])]) ).
fof(f958,plain,
( spl98_12
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_12])]) ).
fof(f1035,plain,
( spl98_29
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_29])]) ).
fof(f1426,plain,
( spl98_113
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_113])]) ).
fof(f1509,plain,
( spl98_130
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_130])]) ).
fof(f1597,plain,
( spl98_148
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_148])]) ).
fof(f990,plain,
( spl98_19
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_19])]) ).
fof(f1022,plain,
( spl98_26
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_26])]) ).
fof(f1095,plain,
( spl98_42
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_42])]) ).
fof(f940,plain,
( spl98_8
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_8])]) ).
fof(f1735,plain,
( spl98_175
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_175])]) ).
fof(f1117,plain,
( spl98_47
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_47])]) ).
fof(f1771,plain,
( spl98_184
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_184])]) ).
fof(f1131,plain,
( spl98_50
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_50])]) ).
fof(f918,plain,
( spl98_3
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_3])]) ).
fof(f1759,plain,
( spl98_181
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_181])]) ).
fof(f1126,plain,
( spl98_49
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_49])]) ).
fof(f1615,plain,
( spl98_151
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_151])]) ).
fof(f1099,plain,
( spl98_43
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_43])]) ).
fof(f1436,plain,
( spl98_115
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_115])]) ).
fof(f1273,plain,
( spl98_81
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_81])]) ).
fof(f1067,plain,
( spl98_36
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_36])]) ).
fof(f906,plain,
( sP61
| sP17
| sP68
| sP56
| sP41
| e3 != op(e3,unit)
| sP95
| sP50
| sP78
| sP4
| sP6
| sP30
| sP92
| sP10
| sP38
| sP15
| sP18
| sP64
| sP23
| sP84
| sP25
| sP65
| sP80
| sP53
| sP47
| e4 != op(unit,e4)
| sP71
| sP91
| sP44
| sP51
| e1 != op(unit,e1)
| sP79
| sP85
| sP67
| sP45
| sP19
| sP42
| sP49
| sP72
| sP87
| sP31
| sP97
| sP58
| sP86
| sP34
| sP5
| sP1
| e4 != op(e4,unit)
| sP32
| sP20
| sP66
| sP82
| sP43
| sP76
| sP7
| e2 = op(e3,e3)
| sP52
| sP89
| sP81
| sP8
| e3 = op(e2,e2)
| sP24
| sP96
| sP2
| sP75
| sP62
| sP93
| sP26
| sP27
| sP14
| sP48
| sP74
| e2 != op(unit,e2)
| sP11
| sP46
| e3 != op(unit,e3)
| sP40
| sP36
| sP12
| sP94
| sP33
| sP88
| sP28
| e2 != op(e2,unit)
| sP54
| e1 != op(e1,unit)
| sP70
| sP16
| sP9
| sP57
| sP55
| sP59
| sP13
| sP21
| sP73
| sP77
| unit != op(unit,unit)
| sP39
| sP69
| sP22
| sP0
| sP3
| sP90
| sP60
| sP35
| sP29
| e4 = op(e4,e4)
| sP83
| sP37
| sP63 ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f894,plain,
( sP11
| sP23
| e1 != op(unit,e1)
| sP44
| sP78
| e4 = op(e4,e4)
| sP20
| sP65
| sP83
| e2 != op(unit,e2)
| sP97
| sP17
| e3 != op(e3,unit)
| sP10
| sP79
| sP26
| sP80
| sP38
| sP58
| sP33
| sP62
| sP35
| sP27
| sP19
| e3 != op(unit,e3)
| sP61
| sP12
| sP96
| sP37
| sP63
| sP30
| sP53
| sP89
| sP67
| unit != op(unit,unit)
| sP85
| sP93
| sP2
| sP66
| sP13
| sP47
| sP72
| sP84
| sP7
| sP25
| sP77
| e4 != op(e4,unit)
| sP16
| sP36
| sP39
| sP81
| sP95
| sP92
| sP55
| sP32
| e3 = op(e2,e2)
| sP43
| sP57
| e2 = op(e3,e3)
| sP91
| sP59
| sP54
| sP5
| sP71
| sP69
| sP70
| sP46
| sP24
| sP52
| sP29
| sP94
| sP42
| sP90
| sP51
| sP9
| e1 != op(e1,unit)
| sP68
| sP48
| sP88
| e2 != op(e2,unit)
| sP56
| sP3
| sP0
| sP73
| sP45
| sP34
| sP22
| sP75
| sP15
| sP41
| sP21
| sP28
| sP60
| sP40
| unit != op(unit,unit)
| sP1
| sP49
| sP76
| sP50
| e4 != op(unit,e4)
| sP18
| sP82
| sP14
| sP4
| sP64
| sP8
| sP86
| sP74
| sP31
| sP87
| sP6 ),
inference(definition_unfolding,[],[f668,f239,f239,f239,f239]) ).
fof(f668,plain,
( sP75
| sP74
| e2 = op(e3,e3)
| e4 = op(e4,e4)
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| e1 != op(e1,unit)
| e3 = op(e2,e2)
| sP65
| sP64
| sP97
| sP63
| sP62
| sP96
| sP61
| sP60
| sP59
| sP58
| sP57
| e0 != op(e0,unit)
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP95
| sP48
| sP94
| sP93
| sP92
| sP47
| sP46
| sP45
| sP44
| sP43
| sP91
| sP90
| sP42
| sP41
| sP40
| sP89
| e3 != op(e3,unit)
| sP39
| sP38
| sP37
| sP36
| sP88
| sP35
| e1 != op(unit,e1)
| sP34
| sP33
| e4 != op(unit,e4)
| sP32
| e2 != op(e2,unit)
| sP31
| sP30
| sP29
| e2 != op(unit,e2)
| sP28
| sP27
| sP87
| sP26
| sP25
| sP24
| sP23
| sP86
| sP22
| sP85
| sP21
| e0 != op(unit,e0)
| sP20
| sP84
| sP83
| sP19
| sP18
| sP17
| e3 != op(unit,e3)
| sP82
| sP16
| e4 != op(e4,unit)
| sP81
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP80
| sP79
| sP7
| sP6
| sP5
| sP4
| sP78
| sP3
| sP77
| sP76
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( sP75
| sP74
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| e1 != op(e1,unit)
| ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| sP65
| sP64
| sP97
| sP63
| sP62
| sP96
| sP61
| sP60
| sP59
| sP58
| sP57
| e0 != op(e0,unit)
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP95
| sP48
| sP94
| sP93
| sP92
| sP47
| sP46
| sP45
| sP44
| sP43
| sP91
| sP90
| sP42
| sP41
| sP40
| sP89
| e3 != op(e3,unit)
| sP39
| sP38
| sP37
| sP36
| sP88
| sP35
| e1 != op(unit,e1)
| sP34
| sP33
| e4 != op(unit,e4)
| sP32
| e2 != op(e2,unit)
| sP31
| sP30
| sP29
| e2 != op(unit,e2)
| sP28
| sP27
| sP87
| sP26
| sP25
| sP24
| sP23
| sP86
| sP22
| sP85
| sP21
| e0 != op(unit,e0)
| sP20
| sP84
| sP83
| sP19
| sP18
| sP17
| e3 != op(unit,e3)
| sP82
| sP16
| e4 != op(e4,unit)
| sP81
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP80
| sP79
| sP7
| sP6
| sP5
| sP4
| sP78
| sP3
| sP77
| sP76
| sP2
| 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,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e0,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f16,plain,
( ( e2 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e4 != op(e4,e1)
& e1 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
( ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e2)
& e3 != op(e1,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
( ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e0 != op(e4,e4)
& e4 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e1,e3) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( e1 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f48,plain,
( ( e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f55,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f56,plain,
( ( e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e0,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f57,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0)
& e4 != op(e0,e3) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f63,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f70,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e4)
& e0 != op(e3,e0) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f76,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e4)
& e2 != op(e1,e3) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f78,plain,
( ( e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e4,e0)
& e3 != op(e3,e0) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f79,plain,
( ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e1,e4)
& e0 != op(e3,e4) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f82,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f84,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
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,e2)
& e2 = op(e0,e0) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f98,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f99,plain,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f6,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0)
& e3 != op(e2,e4) )
| ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e1,e4)
& e0 != op(e3,e4) )
| ( e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e4,e0)
& e3 != op(e3,e0) )
| ( e2 != op(e3,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e0,e1)
& e2 != op(e4,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e4)
& e2 != op(e1,e3) )
| ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e0,e4)
& e3 != op(e1,e4) )
| ( e2 != op(e0,e4)
& e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e3) )
| ( e3 != op(e4,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e3,e2) )
| e1 != op(e1,unit)
| ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( e4 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2) )
| ( e4 != op(e4,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e0,e4) )
| ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e4)
& e0 != op(e3,e0) )
| ( e1 != op(e4,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e0,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0)
& e2 != op(e0,e0) )
| ( e1 != op(e3,e1)
& e4 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4)
& e1 != op(e0,e1) )
| e0 != op(e0,unit)
| ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e4 != op(e2,e0)
& e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e3,e0) )
| ( e4 != op(e0,e4)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0)
& e4 != op(e0,e3) )
| ( e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e2)
& e1 != op(e2,e4)
& e1 != op(e2,e3) )
| ( e4 != op(e1,e0)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e1)
& e4 != op(e1,e3) )
| ( e1 != op(e0,e3)
& e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2) )
| ( e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e0,e2) )
| ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e3 != op(e0,e2)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3) )
| ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e2 != op(e2,e0)
& e4 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4) )
| ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e0)
& e4 != op(e4,e1) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2)
& e2 != op(e4,e2) )
| ( e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| e3 != op(e3,unit)
| ( e1 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e1,e3) )
| ( e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ( e0 != op(e0,e1)
& e1 = op(e0,e0) )
| ( e0 != op(e4,e4)
& e4 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4) )
| e1 != op(unit,e1)
| ( e2 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e3)
& e0 != op(e2,e4)
& e0 != op(e2,e2)
& e0 != op(e2,e1) )
| e4 != op(unit,e4)
| ( e1 != op(e0,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e4,e1)
& e1 != op(e3,e1) )
| e2 != op(e2,unit)
| ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| ( e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e0) )
| ( e4 != op(e3,e1)
& e4 != op(e3,e3)
& e4 != op(e3,e0)
& e4 != op(e3,e4)
& e4 != op(e3,e2) )
| e2 != op(unit,e2)
| ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e4 != op(e1,e3)
& e2 != op(e1,e3) )
| ( e1 != op(e0,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e4,e2)
& e1 != op(e1,e2) )
| ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e2 != op(e4,e2)
& e2 != op(e4,e0)
& e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e1) )
| ( e1 != op(e1,e4)
& e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4) )
| ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2) )
| e0 != op(unit,e0)
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3) )
| ( e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e4 != op(e1,e0) )
| e3 != op(unit,e3)
| ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e2)
& e3 != op(e1,e0) )
| e4 != op(e4,unit)
| ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2) )
| ( e0 != unit
& e3 != unit
& e4 != unit
& e2 != unit
& e1 != unit )
| ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0) )
| ( e2 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e0)
& e0 != op(e4,e4) )
| ( e4 != op(e4,e1)
& e1 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e0 != op(e4,e1) )
| ( e2 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ( e1 != op(e0,e4)
& e0 != op(e0,e4)
& e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4) )
| ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ( e0 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ( e4 != op(e0,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1) )
| ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4)
& e2 != op(e3,e4) )
| ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( e4 != op(e3,e4)
& e0 != op(e3,e4)
& e3 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e0,e2) )
| ( e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e0,e3) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e1 = unit
| e0 = unit
| e3 = unit
| e4 = unit
| e2 = unit )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e2) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e0) )
& ( e0 = op(e0,e3)
| e3 != op(e0,e0) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e0,e2)
| e0 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e4,e0) )
& ( e0 = op(e4,e1)
| e3 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e2,e4) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e4 = op(e0,e1)
| e4 = op(e0,e3)
| e4 = op(e0,e0)
| e4 = op(e0,e2)
| e4 = op(e0,e4) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e0)
| e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e1) )
& ( e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e4) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& e2 = op(e2,unit)
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e4,e0)
| e4 = op(e4,e1)
| e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4) )
& ( e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e3)
| e0 = op(e1,e3)
| e4 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& e4 = op(e4,unit)
& ( e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e3,e1)
| e4 = op(e0,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e0,e1)
| e1 = op(e4,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e4)
| e4 != op(e0,e0) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& e4 = op(unit,e4)
& ( e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e0) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e2 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e4,e0)
| e3 = op(e2,e0) )
& e3 = op(e3,unit)
& ( e2 != op(e0,e0)
| e0 = op(e0,e2) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e4)
| e2 = op(e2,e0)
| e2 = op(e2,e2) )
& ( e3 = op(e4,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4) )
& ( e4 = op(e0,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e4,e2) )
& ( e0 = op(e0,e2)
| e0 = op(e4,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e4)
| e1 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3) )
& ( e3 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3) )
& ( e4 = op(e3,e0)
| e4 = op(e3,e4)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e1 != op(e0,e0) )
& e1 = op(unit,e1)
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e4,e0)
| e2 = op(e4,e0)
| e0 = op(e4,e0)
| e1 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e4,e1) )
& ( e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3) )
& e0 = op(e0,unit)
& ( e3 = op(e0,e2)
| e3 = op(e4,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e4 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e0,e1)
| e4 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& e0 = op(unit,e0)
& ( e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e4) )
& e3 = op(unit,e3)
& ( e3 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e2) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4) )
& ( e4 = op(e3,e0)
| e4 = op(e0,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e1) )
& e2 = op(unit,e2)
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e0)
| e1 = op(e0,e2) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e0)
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = op(e0,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& e1 = op(e1,unit)
& ( e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e4)
| e3 = op(e2,e0)
| e3 = op(e2,e3) )
& ( e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4) )
& ( e0 = op(e4,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e1 = unit
| e0 = unit
| e3 = unit
| e4 = unit
| e2 = unit )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e2) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e0) )
& ( e0 = op(e0,e3)
| e3 != op(e0,e0) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e0,e2)
| e0 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e2 = op(e0,e0)
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e4,e0) )
& ( e0 = op(e4,e1)
| e3 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e2,e4) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e4 = op(e0,e1)
| e4 = op(e0,e3)
| e4 = op(e0,e0)
| e4 = op(e0,e2)
| e4 = op(e0,e4) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e0)
| e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e1) )
& ( e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e4) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& e2 = op(e2,unit)
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e4,e0)
| e4 = op(e4,e1)
| e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4) )
& ( e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e3)
| e0 = op(e1,e3)
| e4 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& e4 = op(e4,unit)
& ( e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e3,e1)
| e4 = op(e0,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e0,e1)
| e1 = op(e4,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e4)
| e4 != op(e0,e0) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& e4 = op(unit,e4)
& ( e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e0) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e2 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e4,e0)
| e3 = op(e2,e0) )
& e3 = op(e3,unit)
& ( e2 != op(e0,e0)
| e0 = op(e0,e2) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e4)
| e2 = op(e2,e0)
| e2 = op(e2,e2) )
& ( e3 = op(e4,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4) )
& ( e4 = op(e0,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e4,e2) )
& ( e0 = op(e0,e2)
| e0 = op(e4,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e4)
| e1 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3) )
& ( e3 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3) )
& ( e4 = op(e3,e0)
| e4 = op(e3,e4)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e3) )
& ( e0 = op(e0,e1)
| e1 != op(e0,e0) )
& e1 = op(unit,e1)
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e4,e0)
| e2 = op(e4,e0)
| e0 = op(e4,e0)
| e1 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0)
| e1 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e4,e1) )
& ( e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3) )
& e0 = op(e0,unit)
& ( e3 = op(e0,e2)
| e3 = op(e4,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e4 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e0,e1)
| e4 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e4,e1)
| e0 = op(e0,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& e0 = op(unit,e0)
& ( e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e4) )
& e3 = op(unit,e3)
& ( e3 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e2) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4) )
& ( e4 = op(e3,e0)
| e4 = op(e0,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e1) )
& e2 = op(unit,e2)
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e0)
| e1 = op(e0,e2) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e0)
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = op(e0,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& e1 = op(e1,unit)
& ( e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e4)
| e3 = op(e2,e0)
| e3 = op(e2,e3) )
& ( e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4) )
& ( e0 = op(e4,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1938,plain,
( ~ spl98_181
| ~ spl98_43 ),
inference(avatar_split_clause,[],[f692,f1099,f1759]) ).
fof(f692,plain,
( e3 != op(e3,unit)
| ~ sP92 ),
inference(definition_unfolding,[],[f250,f239]) ).
fof(f250,plain,
( e3 != op(e3,e0)
| ~ sP92 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP92 ),
inference(nnf_transformation,[],[f99]) ).
fof(f1931,plain,
( ~ spl98_161
| ~ spl98_159 ),
inference(avatar_split_clause,[],[f842,f1656,f1666]) ).
fof(f842,plain,
( ~ sP24
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f542,f239]) ).
fof(f542,plain,
( e1 != op(e1,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1929,plain,
( ~ spl98_51
| ~ spl98_210 ),
inference(avatar_split_clause,[],[f556,f1926,f1136]) ).
fof(f556,plain,
( e2 != op(e3,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e4)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1923,plain,
( ~ spl98_113
| ~ spl98_209 ),
inference(avatar_split_clause,[],[f505,f1920,f1426]) ).
fof(f505,plain,
( e1 != op(e2,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1914,plain,
spl98_28,
inference(avatar_split_clause,[],[f221,f1031]) ).
fof(f221,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1905,plain,
( ~ spl98_207
| ~ spl98_98 ),
inference(avatar_split_clause,[],[f476,f1354,f1902]) ).
fof(f476,plain,
( ~ sP37
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1900,plain,
( ~ spl98_81
| ~ spl98_85 ),
inference(avatar_split_clause,[],[f762,f1292,f1273]) ).
fof(f762,plain,
( op(e3,e3) != unit
| ~ sP56 ),
inference(definition_unfolding,[],[f379,f239]) ).
fof(f379,plain,
( e0 != op(e3,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e4 != op(e3,e3)
& e2 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1891,plain,
spl98_143,
inference(avatar_split_clause,[],[f224,f1572]) ).
fof(f224,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1878,plain,
( ~ spl98_195
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f838,f1723,f1815]) ).
fof(f838,plain,
( e1 != op(unit,e1)
| ~ sP26 ),
inference(definition_unfolding,[],[f531,f239]) ).
fof(f531,plain,
( e1 != op(e0,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e4 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1865,plain,
( ~ spl98_50
| ~ spl98_202 ),
inference(avatar_split_clause,[],[f469,f1862,f1131]) ).
fof(f469,plain,
( e4 != op(e1,e3)
| ~ sP38 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e1,e3) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1860,plain,
spl98_43,
inference(avatar_split_clause,[],[f685,f1099]) ).
fof(f685,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f218,f239]) ).
fof(f218,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1859,plain,
( ~ spl98_139
| ~ spl98_43 ),
inference(avatar_split_clause,[],[f808,f1099,f1552]) ).
fof(f808,plain,
( e3 != op(e3,unit)
| ~ sP40 ),
inference(definition_unfolding,[],[f461,f239]) ).
fof(f461,plain,
( e3 != op(e3,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1852,plain,
( ~ spl98_47
| ~ spl98_11 ),
inference(avatar_split_clause,[],[f852,f954,f1117]) ).
fof(f852,plain,
( e3 != op(unit,e3)
| ~ sP18 ),
inference(definition_unfolding,[],[f569,f239]) ).
fof(f569,plain,
( e3 != op(e0,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1843,plain,
( ~ spl98_119
| ~ spl98_174 ),
inference(avatar_split_clause,[],[f768,f1731,f1455]) ).
fof(f768,plain,
( e4 != op(unit,e4)
| ~ sP54 ),
inference(definition_unfolding,[],[f393,f239]) ).
fof(f393,plain,
( e4 != op(e0,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0)
& e4 != op(e0,e3) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1831,plain,
( ~ spl98_184
| ~ spl98_70 ),
inference(avatar_split_clause,[],[f587,f1223,f1771]) ).
fof(f587,plain,
( e3 != op(e4,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1830,plain,
( ~ spl98_155
| ~ spl98_175 ),
inference(avatar_split_clause,[],[f545,f1735,f1636]) ).
fof(f545,plain,
( ~ sP23
| e1 != op(e3,e4) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1705,plain,
( ~ spl98_49
| ~ spl98_43 ),
inference(avatar_split_clause,[],[f832,f1099,f1126]) ).
fof(f832,plain,
( e3 != op(e3,unit)
| ~ sP30 ),
inference(definition_unfolding,[],[f509,f239]) ).
fof(f509,plain,
( e3 != op(e3,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e4)
& e3 != op(e3,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1704,plain,
spl98_153,
inference(avatar_split_clause,[],[f232,f1625]) ).
fof(f232,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1698,plain,
( ~ spl98_5
| ~ spl98_167 ),
inference(avatar_split_clause,[],[f315,f1695,f927]) ).
fof(f315,plain,
( ~ sP69
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e4)
& e2 != op(e1,e3) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1669,plain,
( ~ spl98_161
| ~ spl98_36 ),
inference(avatar_split_clause,[],[f853,f1067,f1666]) ).
fof(f853,plain,
( ~ sP17
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f578,f239]) ).
fof(f578,plain,
( e1 != op(e1,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1639,plain,
( ~ spl98_155
| ~ spl98_34 ),
inference(avatar_split_clause,[],[f549,f1058,f1636]) ).
fof(f549,plain,
( ~ sP22
| e1 != op(e3,e4) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1633,plain,
( ~ spl98_148
| ~ spl98_15 ),
inference(avatar_split_clause,[],[f781,f972,f1597]) ).
fof(f781,plain,
( e2 != op(unit,e2)
| ~ sP49 ),
inference(definition_unfolding,[],[f414,f239]) ).
fof(f414,plain,
( e2 != op(e0,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e2 != op(e1,e2)
& e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e0,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1632,plain,
( ~ spl98_153
| ~ spl98_154 ),
inference(avatar_split_clause,[],[f653,f1629,f1625]) ).
fof(f653,plain,
( ~ sP2
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3)
& e2 != op(e2,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1618,plain,
( ~ spl98_39
| ~ spl98_151 ),
inference(avatar_split_clause,[],[f778,f1615,f1081]) ).
fof(f778,plain,
( ~ sP50
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f411,f239]) ).
fof(f411,plain,
( e0 != op(e1,e1)
| ~ sP50 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e4)
& e0 != op(e1,e1)
& e0 != op(e1,e3)
& e0 != op(e1,e2) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1581,plain,
( ~ spl98_27
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f252,f1022,f1026]) ).
fof(f1026,plain,
( spl98_27
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_27])]) ).
fof(f252,plain,
( ~ sP91
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP91 ),
inference(nnf_transformation,[],[f98]) ).
fof(f1575,plain,
( ~ spl98_142
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f580,f1572,f1568]) ).
fof(f580,plain,
( e3 != op(e1,e2)
| ~ sP16 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e2)
& e3 != op(e1,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1566,plain,
( spl98_140
| ~ spl98_141 ),
inference(avatar_split_clause,[],[f272,f1563,f1559]) ).
fof(f272,plain,
( ~ sP81
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f1556,plain,
( ~ spl98_101
| ~ spl98_130 ),
inference(avatar_split_clause,[],[f716,f1509,f1368]) ).
fof(f716,plain,
( ~ sP72
| op(e4,e4) != unit ),
inference(definition_unfolding,[],[f301,f239]) ).
fof(f301,plain,
( e0 != op(e4,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e0 != op(e2,e4)
& e0 != op(e0,e4)
& e0 != op(e4,e4)
& e0 != op(e1,e4)
& e0 != op(e3,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1468,plain,
( ~ spl98_121
| ~ spl98_11 ),
inference(avatar_split_clause,[],[f786,f954,f1465]) ).
fof(f786,plain,
( e3 != op(unit,e3)
| ~ sP48 ),
inference(definition_unfolding,[],[f419,f239]) ).
fof(f419,plain,
( e3 != op(e0,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e4)
& e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1439,plain,
( ~ spl98_115
| ~ spl98_17 ),
inference(avatar_split_clause,[],[f805,f981,f1436]) ).
fof(f805,plain,
( unit != op(unit,unit)
| ~ sP41 ),
inference(definition_unfolding,[],[f454,f239,f239,f239]) ).
fof(f454,plain,
( e0 != op(e0,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e0 != op(e4,e0)
& e0 != op(e1,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1381,plain,
( ~ spl98_103
| ~ spl98_17 ),
inference(avatar_split_clause,[],[f704,f981,f1378]) ).
fof(f704,plain,
( unit != op(unit,unit)
| ~ sP77 ),
inference(definition_unfolding,[],[f280,f239,f239,f239]) ).
fof(f280,plain,
( e0 != op(e0,e0)
| ~ sP77 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f1371,plain,
( ~ spl98_100
| ~ spl98_101 ),
inference(avatar_split_clause,[],[f823,f1368,f1364]) ).
fof(f823,plain,
( op(e4,e4) != unit
| ~ sP35 ),
inference(definition_unfolding,[],[f488,f239]) ).
fof(f488,plain,
( e0 != op(e4,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e0 != op(e4,e4)
& e4 != op(e4,e4)
& e1 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1295,plain,
( ~ spl98_84
| ~ spl98_85 ),
inference(avatar_split_clause,[],[f735,f1292,f1288]) ).
fof(f735,plain,
( op(e3,e3) != unit
| ~ sP63 ),
inference(definition_unfolding,[],[f348,f239]) ).
fof(f348,plain,
( e0 != op(e3,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e4)
& e0 != op(e3,e0) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1286,plain,
( spl98_82
| ~ spl98_83 ),
inference(avatar_split_clause,[],[f262,f1283,f1279]) ).
fof(f262,plain,
( ~ sP86
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f1262,plain,
( ~ spl98_77
| ~ spl98_78 ),
inference(avatar_split_clause,[],[f864,f1259,f1255]) ).
fof(f864,plain,
( e4 != op(e4,unit)
| ~ sP13 ),
inference(definition_unfolding,[],[f595,f239]) ).
fof(f595,plain,
( e4 != op(e4,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e2 != op(e4,e0)
& e0 != op(e4,e0)
& e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1226,plain,
( ~ spl98_3
| ~ spl98_70 ),
inference(avatar_split_clause,[],[f611,f1223,f918]) ).
fof(f611,plain,
( e3 != op(e4,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e4 != op(e4,e1)
& e1 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1102,plain,
( ~ spl98_42
| ~ spl98_43 ),
inference(avatar_split_clause,[],[f723,f1099,f1095]) ).
fof(f723,plain,
( e3 != op(e3,unit)
| ~ sP71 ),
inference(definition_unfolding,[],[f304,f239]) ).
fof(f304,plain,
( e3 != op(e3,e0)
| ~ sP71 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e3 != op(e1,e0)
& e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e4,e0)
& e3 != op(e3,e0) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f1084,plain,
( ~ spl98_31
| ~ spl98_39 ),
inference(avatar_split_clause,[],[f711,f1081,f1044]) ).
fof(f711,plain,
( op(e1,e1) != unit
| ~ sP75 ),
inference(definition_unfolding,[],[f284,f239]) ).
fof(f284,plain,
( e0 != op(e1,e1)
| ~ sP75 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f1038,plain,
( ~ spl98_28
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f657,f1035,f1031]) ).
fof(f657,plain,
( ~ sP1
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e0,e2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1029,plain,
( ~ spl98_26
| spl98_27 ),
inference(avatar_split_clause,[],[f253,f1026,f1022]) ).
fof(f253,plain,
( e2 = op(e2,e2)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f997,plain,
( ~ spl98_19
| spl98_20 ),
inference(avatar_split_clause,[],[f698,f994,f990]) ).
fof(f698,plain,
( e2 = op(unit,unit)
| ~ sP85 ),
inference(definition_unfolding,[],[f264,f239,f239]) ).
fof(f264,plain,
( e2 = op(e0,e0)
| ~ sP85 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f988,plain,
( ~ spl98_17
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f818,f985,f981]) ).
fof(f818,plain,
( ~ sP36
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f483,f239,f239,f239]) ).
fof(f483,plain,
( e0 != op(e0,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e4)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f979,plain,
( ~ spl98_15
| ~ spl98_16 ),
inference(avatar_split_clause,[],[f813,f976,f972]) ).
fof(f813,plain,
( ~ sP39
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f466,f239]) ).
fof(f466,plain,
( e2 != op(e0,e2)
| ~ sP39 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e1 != op(e0,e2)
& e4 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f961,plain,
( ~ spl98_11
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f846,f958,f954]) ).
fof(f846,plain,
( ~ sP20
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f563,f239]) ).
fof(f563,plain,
( e3 != op(e0,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f943,plain,
( spl98_7
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f267,f940,f936]) ).
fof(f267,plain,
( ~ sP84
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f934,plain,
( ~ spl98_5
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f618,f931,f927]) ).
fof(f618,plain,
( ~ sP9
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e2 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 14:51:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (17432)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (17438)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (17430)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (17444)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (17442)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (17430)Instruction limit reached!
% 0.19/0.51 % (17430)------------------------------
% 0.19/0.51 % (17430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17446)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (17436)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (17434)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (17434)Instruction limit reached!
% 0.19/0.52 % (17434)------------------------------
% 0.19/0.52 % (17434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17434)Termination reason: Unknown
% 0.19/0.52 % (17434)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (17434)Memory used [KB]: 1535
% 0.19/0.52 % (17434)Time elapsed: 0.005 s
% 0.19/0.52 % (17434)Instructions burned: 4 (million)
% 0.19/0.52 % (17434)------------------------------
% 0.19/0.52 % (17434)------------------------------
% 0.19/0.52 % (17428)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (17426)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (17422)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (17424)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (17438)Instruction limit reached!
% 0.19/0.52 % (17438)------------------------------
% 0.19/0.52 % (17438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17430)Termination reason: Unknown
% 0.19/0.52 % (17430)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (17430)Memory used [KB]: 1791
% 0.19/0.52 % (17430)Time elapsed: 0.009 s
% 0.19/0.52 % (17430)Instructions burned: 13 (million)
% 0.19/0.52 % (17430)------------------------------
% 0.19/0.52 % (17430)------------------------------
% 0.19/0.52 % (17438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17438)Termination reason: Unknown
% 0.19/0.52 % (17438)Termination phase: Preprocessing 2
% 0.19/0.52
% 0.19/0.52 % (17438)Memory used [KB]: 1535
% 0.19/0.52 % (17438)Time elapsed: 0.004 s
% 0.19/0.52 % (17438)Instructions burned: 3 (million)
% 0.19/0.52 % (17438)------------------------------
% 0.19/0.52 % (17438)------------------------------
% 0.19/0.52 % (17420)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (17425)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (17423)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (17433)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (17431)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (17429)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (17432)Instruction limit reached!
% 0.19/0.53 % (17432)------------------------------
% 0.19/0.53 % (17432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17432)Termination reason: Unknown
% 0.19/0.53 % (17432)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (17432)Memory used [KB]: 1918
% 0.19/0.53 % (17432)Time elapsed: 0.008 s
% 0.19/0.53 % (17432)Instructions burned: 18 (million)
% 0.19/0.53 % (17432)------------------------------
% 0.19/0.53 % (17432)------------------------------
% 0.19/0.53 % (17431)Instruction limit reached!
% 0.19/0.53 % (17431)------------------------------
% 0.19/0.53 % (17431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17431)Termination reason: Unknown
% 0.19/0.53 % (17431)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (17431)Memory used [KB]: 1791
% 0.19/0.53 % (17431)Time elapsed: 0.004 s
% 0.19/0.53 % (17431)Instructions burned: 10 (million)
% 0.19/0.53 % (17431)------------------------------
% 0.19/0.53 % (17431)------------------------------
% 0.19/0.53 % (17435)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (17448)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (17421)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (17448)Instruction limit reached!
% 0.19/0.53 % (17448)------------------------------
% 0.19/0.53 % (17448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17448)Termination reason: Unknown
% 0.19/0.53 % (17448)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (17448)Memory used [KB]: 1791
% 0.19/0.53 % (17448)Time elapsed: 0.004 s
% 0.19/0.53 % (17448)Instructions burned: 8 (million)
% 0.19/0.53 % (17448)------------------------------
% 0.19/0.53 % (17448)------------------------------
% 0.19/0.53 % (17443)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (17440)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (17447)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54 % (17449)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (17421)Instruction limit reached!
% 0.19/0.54 % (17421)------------------------------
% 0.19/0.54 % (17421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17421)Termination reason: Unknown
% 0.19/0.54 % (17421)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (17421)Memory used [KB]: 1791
% 0.19/0.54 % (17421)Time elapsed: 0.006 s
% 0.19/0.54 % (17421)Instructions burned: 13 (million)
% 0.19/0.54 % (17421)------------------------------
% 0.19/0.54 % (17421)------------------------------
% 0.19/0.54 % (17437)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (17437)Instruction limit reached!
% 0.19/0.54 % (17437)------------------------------
% 0.19/0.54 % (17437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17437)Termination reason: Unknown
% 0.19/0.54 % (17437)Termination phase: Naming
% 0.19/0.54
% 0.19/0.54 % (17437)Memory used [KB]: 1535
% 0.19/0.54 % (17437)Time elapsed: 0.003 s
% 0.19/0.54 % (17437)Instructions burned: 4 (million)
% 0.19/0.54 % (17437)------------------------------
% 0.19/0.54 % (17437)------------------------------
% 0.19/0.54 % (17422)Instruction limit reached!
% 0.19/0.54 % (17422)------------------------------
% 0.19/0.54 % (17422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17422)Termination reason: Unknown
% 0.19/0.54 % (17422)Termination phase: Naming
% 0.19/0.54
% 0.19/0.54 % (17422)Memory used [KB]: 1535
% 0.19/0.54 % (17422)Time elapsed: 0.003 s
% 0.19/0.54 % (17422)Instructions burned: 5 (million)
% 0.19/0.54 % (17422)------------------------------
% 0.19/0.54 % (17422)------------------------------
% 0.19/0.54 % (17439)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (17427)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (17445)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (17441)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (17425)Instruction limit reached!
% 0.19/0.55 % (17425)------------------------------
% 0.19/0.55 % (17425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (17439)Instruction limit reached!
% 0.19/0.55 % (17439)------------------------------
% 0.19/0.55 % (17439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (17426)First to succeed.
% 0.19/0.56 % (17435)Instruction limit reached!
% 0.19/0.56 % (17435)------------------------------
% 0.19/0.56 % (17435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17444)Refutation not found, incomplete strategy% (17444)------------------------------
% 0.19/0.56 % (17444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17425)Termination reason: Unknown
% 0.19/0.56 % (17425)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (17425)Memory used [KB]: 1791
% 0.19/0.56 % (17425)Time elapsed: 0.008 s
% 0.19/0.56 % (17425)Instructions burned: 15 (million)
% 0.19/0.56 % (17425)------------------------------
% 0.19/0.56 % (17425)------------------------------
% 0.19/0.56 % (17444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17444)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (17444)Memory used [KB]: 7291
% 0.19/0.56 % (17444)Time elapsed: 0.141 s
% 0.19/0.56 % (17444)Instructions burned: 33 (million)
% 0.19/0.56 % (17444)------------------------------
% 0.19/0.56 % (17444)------------------------------
% 0.19/0.56 % (17435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17435)Termination reason: Unknown
% 0.19/0.56 % (17435)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (17435)Memory used [KB]: 1791
% 0.19/0.56 % (17435)Time elapsed: 0.005 s
% 0.19/0.56 % (17435)Instructions burned: 9 (million)
% 0.19/0.56 % (17435)------------------------------
% 0.19/0.56 % (17435)------------------------------
% 0.19/0.57 % (17440)Instruction limit reached!
% 0.19/0.57 % (17440)------------------------------
% 0.19/0.57 % (17440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17424)Instruction limit reached!
% 0.19/0.57 % (17424)------------------------------
% 0.19/0.57 % (17424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17424)Termination reason: Unknown
% 0.19/0.57 % (17424)Termination phase: Clausification
% 0.19/0.57
% 0.19/0.57 % (17424)Memory used [KB]: 16247
% 0.19/0.57 % (17424)Time elapsed: 0.014 s
% 0.19/0.57 % (17424)Instructions burned: 13 (million)
% 0.19/0.57 % (17424)------------------------------
% 0.19/0.57 % (17424)------------------------------
% 0.19/0.57 % (17440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17440)Termination reason: Unknown
% 0.19/0.57 % (17440)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (17440)Memory used [KB]: 2174
% 0.19/0.57 % (17440)Time elapsed: 0.013 s
% 0.19/0.57 % (17440)Instructions burned: 30 (million)
% 0.19/0.57 % (17440)------------------------------
% 0.19/0.57 % (17440)------------------------------
% 0.19/0.57 % (17439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17439)Termination reason: Unknown
% 0.19/0.57 % (17439)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (17439)Memory used [KB]: 1791
% 0.19/0.57 % (17439)Time elapsed: 0.007 s
% 0.19/0.57 % (17439)Instructions burned: 12 (million)
% 0.19/0.57 % (17439)------------------------------
% 0.19/0.57 % (17439)------------------------------
% 0.19/0.58 % (17429)Instruction limit reached!
% 0.19/0.58 % (17429)------------------------------
% 0.19/0.58 % (17429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17429)Termination reason: Unknown
% 0.19/0.58 % (17429)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (17429)Memory used [KB]: 6908
% 0.19/0.58 % (17429)Time elapsed: 0.017 s
% 0.19/0.58 % (17429)Instructions burned: 34 (million)
% 0.19/0.58 % (17429)------------------------------
% 0.19/0.58 % (17429)------------------------------
% 0.19/0.58 % (17447)Instruction limit reached!
% 0.19/0.58 % (17447)------------------------------
% 0.19/0.58 % (17447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17447)Termination reason: Unknown
% 0.19/0.58 % (17447)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (17447)Memory used [KB]: 7164
% 0.19/0.58 % (17447)Time elapsed: 0.174 s
% 0.19/0.58 % (17447)Instructions burned: 26 (million)
% 0.19/0.58 % (17447)------------------------------
% 0.19/0.58 % (17447)------------------------------
% 0.19/0.58 % (17428)Instruction limit reached!
% 0.19/0.58 % (17428)------------------------------
% 0.19/0.58 % (17428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17428)Termination reason: Unknown
% 0.19/0.58 % (17428)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (17428)Memory used [KB]: 6908
% 0.19/0.58 % (17428)Time elapsed: 0.025 s
% 0.19/0.58 % (17428)Instructions burned: 49 (million)
% 0.19/0.58 % (17428)------------------------------
% 0.19/0.58 % (17428)------------------------------
% 0.19/0.58 % (17443)Instruction limit reached!
% 0.19/0.58 % (17443)------------------------------
% 0.19/0.58 % (17443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17443)Termination reason: Unknown
% 0.19/0.58 % (17443)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (17443)Memory used [KB]: 2430
% 0.19/0.58 % (17443)Time elapsed: 0.169 s
% 0.19/0.58 % (17443)Instructions burned: 46 (million)
% 0.19/0.58 % (17443)------------------------------
% 0.19/0.58 % (17443)------------------------------
% 2.00/0.59 % (17427)Instruction limit reached!
% 2.00/0.59 % (17427)------------------------------
% 2.00/0.59 % (17427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.59 % (17427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.59 % (17427)Termination reason: Unknown
% 2.00/0.59 % (17427)Termination phase: Saturation
% 2.00/0.59
% 2.00/0.59 % (17427)Memory used [KB]: 6908
% 2.00/0.59 % (17427)Time elapsed: 0.020 s
% 2.00/0.59 % (17427)Instructions burned: 40 (million)
% 2.00/0.59 % (17427)------------------------------
% 2.00/0.59 % (17427)------------------------------
% 2.00/0.60 % (17423)Instruction limit reached!
% 2.00/0.60 % (17423)------------------------------
% 2.00/0.60 % (17423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.60 % (17423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.60 % (17423)Termination reason: Unknown
% 2.00/0.60 % (17423)Termination phase: Saturation
% 2.00/0.60
% 2.00/0.60 % (17423)Memory used [KB]: 7036
% 2.00/0.60 % (17423)Time elapsed: 0.195 s
% 2.00/0.60 % (17423)Instructions burned: 51 (million)
% 2.00/0.60 % (17423)------------------------------
% 2.00/0.60 % (17423)------------------------------
% 2.00/0.60 % (17426)Refutation found. Thanks to Tanya!
% 2.00/0.60 % SZS status Theorem for theBenchmark
% 2.00/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.61 % (17426)------------------------------
% 2.00/0.61 % (17426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.61 % (17426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61 % (17426)Termination reason: Refutation
% 2.00/0.61
% 2.00/0.61 % (17426)Memory used [KB]: 7675
% 2.00/0.61 % (17426)Time elapsed: 0.134 s
% 2.00/0.61 % (17426)Instructions burned: 33 (million)
% 2.00/0.61 % (17426)------------------------------
% 2.00/0.61 % (17426)------------------------------
% 2.00/0.61 % (17419)Success in time 0.256 s
%------------------------------------------------------------------------------