TSTP Solution File: ALG092+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG092+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:33 EDT 2022
% Result : Theorem 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 201
% Syntax : Number of formulae : 641 ( 100 unt; 0 def)
% Number of atoms : 3892 (2533 equ)
% Maximal formula atoms : 440 ( 6 avg)
% Number of connectives : 5293 (2042 ~;1903 |;1231 &)
% ( 117 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 97 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 199 ( 197 usr; 198 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2450,plain,
$false,
inference(avatar_sat_refutation,[],[f869,f910,f919,f973,f978,f1018,f1019,f1110,f1124,f1143,f1204,f1205,f1229,f1306,f1360,f1408,f1575,f1612,f1633,f1649,f1659,f1677,f1680,f1685,f1687,f1688,f1699,f1700,f1711,f1714,f1726,f1739,f1749,f1750,f1760,f1784,f1785,f1789,f1795,f1800,f1818,f1825,f1832,f1833,f1834,f1847,f1853,f1857,f1863,f1865,f1866,f1882,f1883,f1905,f1921,f1963,f1964,f1970,f1992,f2010,f2014,f2020,f2021,f2024,f2031,f2037,f2039,f2045,f2048,f2075,f2079,f2083,f2085,f2089,f2090,f2103,f2105,f2106,f2107,f2111,f2115,f2131,f2140,f2145,f2156,f2160,f2170,f2173,f2176,f2179,f2185,f2187,f2194,f2198,f2201,f2204,f2205,f2212,f2216,f2217,f2224,f2228,f2230,f2233,f2240,f2260,f2263,f2269,f2276,f2297,f2305,f2309,f2324,f2334,f2338,f2372,f2375,f2401]) ).
fof(f2401,plain,
( spl80_186
| ~ spl80_20
| ~ spl80_144
| ~ spl80_147
| ~ spl80_177
| ~ spl80_191 ),
inference(avatar_split_clause,[],[f2400,f1757,f1656,f1502,f1490,f916,f1729]) ).
fof(f1729,plain,
( spl80_186
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_186])]) ).
fof(f916,plain,
( spl80_20
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_20])]) ).
fof(f1490,plain,
( spl80_144
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_144])]) ).
fof(f1502,plain,
( spl80_147
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_147])]) ).
fof(f1656,plain,
( spl80_177
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_177])]) ).
fof(f1757,plain,
( spl80_191
<=> unit = op(e1,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_191])]) ).
fof(f2400,plain,
( e1 = e3
| ~ spl80_20
| ~ spl80_144
| ~ spl80_147
| ~ spl80_177
| ~ spl80_191 ),
inference(forward_demodulation,[],[f2391,f1657]) ).
fof(f1657,plain,
( e1 = op(e3,e4)
| ~ spl80_177 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f2391,plain,
( e3 = op(e3,e4)
| ~ spl80_20
| ~ spl80_144
| ~ spl80_147
| ~ spl80_191 ),
inference(backward_demodulation,[],[f1503,f2379]) ).
fof(f2379,plain,
( e4 = unit
| ~ spl80_20
| ~ spl80_144
| ~ spl80_191 ),
inference(forward_demodulation,[],[f2378,f917]) ).
fof(f917,plain,
( e4 = op(e1,e1)
| ~ spl80_20 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f2378,plain,
( op(e1,e1) = unit
| ~ spl80_144
| ~ spl80_191 ),
inference(forward_demodulation,[],[f1759,f1491]) ).
fof(f1491,plain,
( e1 = op(e1,unit)
| ~ spl80_144 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1759,plain,
( unit = op(e1,op(e1,unit))
| ~ spl80_191 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1503,plain,
( e3 = op(e3,unit)
| ~ spl80_147 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f2375,plain,
( spl80_111
| ~ spl80_5
| ~ spl80_189 ),
inference(avatar_split_clause,[],[f2374,f1746,f848,f1337]) ).
fof(f1337,plain,
( spl80_111
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl80_111])]) ).
fof(f848,plain,
( spl80_5
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_5])]) ).
fof(f1746,plain,
( spl80_189
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl80_189])]) ).
fof(f2374,plain,
( e3 = unit
| ~ spl80_5
| ~ spl80_189 ),
inference(forward_demodulation,[],[f1747,f849]) ).
fof(f849,plain,
( e3 = op(e2,e1)
| ~ spl80_5 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f1747,plain,
( op(e2,e1) = unit
| ~ spl80_189 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f2372,plain,
( spl80_148
| ~ spl80_17
| ~ spl80_115
| ~ spl80_147
| ~ spl80_197 ),
inference(avatar_split_clause,[],[f2371,f1797,f1502,f1362,f903,f1506]) ).
fof(f1506,plain,
( spl80_148
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_148])]) ).
fof(f903,plain,
( spl80_17
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl80_17])]) ).
fof(f1362,plain,
( spl80_115
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_115])]) ).
fof(f1797,plain,
( spl80_197
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_197])]) ).
fof(f2371,plain,
( e2 = e3
| ~ spl80_17
| ~ spl80_115
| ~ spl80_147
| ~ spl80_197 ),
inference(forward_demodulation,[],[f2353,f1798]) ).
fof(f1798,plain,
( e2 = op(e3,e1)
| ~ spl80_197 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f2353,plain,
( e3 = op(e3,e1)
| ~ spl80_17
| ~ spl80_115
| ~ spl80_147 ),
inference(backward_demodulation,[],[f1503,f2340]) ).
fof(f2340,plain,
( e1 = unit
| ~ spl80_17
| ~ spl80_115 ),
inference(backward_demodulation,[],[f904,f1363]) ).
fof(f1363,plain,
( e1 = op(e3,e2)
| ~ spl80_115 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f904,plain,
( op(e3,e2) = unit
| ~ spl80_17 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f2338,plain,
( spl80_115
| ~ spl80_197
| ~ spl80_232 ),
inference(avatar_split_clause,[],[f2337,f2163,f1797,f1362]) ).
fof(f2163,plain,
( spl80_232
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_232])]) ).
fof(f2337,plain,
( e1 = op(e3,e2)
| ~ spl80_197
| ~ spl80_232 ),
inference(forward_demodulation,[],[f2165,f1798]) ).
fof(f2165,plain,
( e1 = op(e3,op(e3,e1))
| ~ spl80_232 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2334,plain,
( spl80_5
| ~ spl80_31
| ~ spl80_229 ),
inference(avatar_split_clause,[],[f2333,f2100,f966,f848]) ).
fof(f966,plain,
( spl80_31
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_31])]) ).
fof(f2100,plain,
( spl80_229
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_229])]) ).
fof(f2333,plain,
( e3 = op(e2,e1)
| ~ spl80_31
| ~ spl80_229 ),
inference(forward_demodulation,[],[f2102,f967]) ).
fof(f967,plain,
( e1 = op(e2,e3)
| ~ spl80_31 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f2102,plain,
( e3 = op(e2,op(e2,e3))
| ~ spl80_229 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2324,plain,
( spl80_166
| ~ spl80_62
| ~ spl80_198 ),
inference(avatar_split_clause,[],[f2323,f1809,f1107,f1593]) ).
fof(f1593,plain,
( spl80_166
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl80_166])]) ).
fof(f1107,plain,
( spl80_62
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl80_62])]) ).
fof(f1809,plain,
( spl80_198
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_198])]) ).
fof(f2323,plain,
( e2 = unit
| ~ spl80_62
| ~ spl80_198 ),
inference(backward_demodulation,[],[f1108,f1810]) ).
fof(f1810,plain,
( e2 = op(e1,e3)
| ~ spl80_198 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1108,plain,
( op(e1,e3) = unit
| ~ spl80_62 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f2309,plain,
( spl80_165
| ~ spl80_31
| ~ spl80_103
| ~ spl80_169 ),
inference(avatar_split_clause,[],[f2308,f1609,f1299,f966,f1588]) ).
fof(f1588,plain,
( spl80_165
<=> e1 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_165])]) ).
fof(f1299,plain,
( spl80_103
<=> e4 = op(e2,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_103])]) ).
fof(f1609,plain,
( spl80_169
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_169])]) ).
fof(f2308,plain,
( e1 = e4
| ~ spl80_31
| ~ spl80_103
| ~ spl80_169 ),
inference(forward_demodulation,[],[f2307,f967]) ).
fof(f2307,plain,
( e4 = op(e2,e3)
| ~ spl80_103
| ~ spl80_169 ),
inference(forward_demodulation,[],[f1301,f1610]) ).
fof(f1610,plain,
( e3 = op(e2,e4)
| ~ spl80_169 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1301,plain,
( e4 = op(e2,op(e2,e4))
| ~ spl80_103 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f2305,plain,
( ~ spl80_87
| spl80_102
| ~ spl80_169 ),
inference(avatar_split_clause,[],[f2304,f1609,f1295,f1226]) ).
fof(f1226,plain,
( spl80_87
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_87])]) ).
fof(f1295,plain,
( spl80_102
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_102])]) ).
fof(f2304,plain,
( e2 != op(e4,e3)
| spl80_102
| ~ spl80_169 ),
inference(forward_demodulation,[],[f1297,f1610]) ).
fof(f1297,plain,
( e2 != op(e4,op(e2,e4))
| spl80_102 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f2297,plain,
( ~ spl80_197
| spl80_233 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| ~ spl80_197
| spl80_233 ),
inference(trivial_inequality_removal,[],[f2295]) ).
fof(f2295,plain,
( e3 != e3
| ~ spl80_197
| spl80_233 ),
inference(superposition,[],[f2282,f170]) ).
fof(f170,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e4 = op(e2,e2)
& e2 = op(e1,e4)
& e4 = op(e0,e4)
& e1 = op(e2,e3)
& e2 = op(e2,e0)
& e4 = op(e4,e0)
& e4 = op(e1,e1)
& e1 = op(e0,e1)
& e2 = op(e0,e2)
& e3 = op(e0,e3)
& e0 = op(e4,e4)
& e2 = op(e4,e3)
& e0 = op(e1,e3)
& e1 = op(e3,e4)
& e0 = op(e3,e2)
& e0 = op(e2,e1)
& e1 = op(e4,e2)
& e1 = op(e1,e0)
& e0 = op(e0,e0)
& e3 = op(e3,e0)
& e3 = op(e4,e1)
& e3 = op(e2,e4)
& e3 = op(e1,e2)
& e2 = op(e3,e1)
& e4 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2282,plain,
( e3 != op(e1,e2)
| ~ spl80_197
| spl80_233 ),
inference(forward_demodulation,[],[f2169,f1798]) ).
fof(f2169,plain,
( e3 != op(e1,op(e3,e1))
| spl80_233 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2167,plain,
( spl80_233
<=> e3 = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_233])]) ).
fof(f2276,plain,
( ~ spl80_131
| ~ spl80_144
| spl80_190 ),
inference(avatar_split_clause,[],[f2275,f1753,f1490,f1438]) ).
fof(f1438,plain,
( spl80_131
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_131])]) ).
fof(f1753,plain,
( spl80_190
<=> e1 = op(unit,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_190])]) ).
fof(f2275,plain,
( e1 != op(unit,e1)
| ~ spl80_144
| spl80_190 ),
inference(forward_demodulation,[],[f1755,f1491]) ).
fof(f1755,plain,
( e1 != op(unit,op(e1,unit))
| spl80_190 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f2269,plain,
( ~ spl80_197
| ~ spl80_31
| spl80_228 ),
inference(avatar_split_clause,[],[f2268,f2096,f966,f1797]) ).
fof(f2096,plain,
( spl80_228
<=> e2 = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_228])]) ).
fof(f2268,plain,
( e2 != op(e3,e1)
| ~ spl80_31
| spl80_228 ),
inference(forward_demodulation,[],[f2098,f967]) ).
fof(f2098,plain,
( e2 != op(e3,op(e2,e3))
| spl80_228 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2263,plain,
~ spl80_101,
inference(avatar_split_clause,[],[f2262,f1290]) ).
fof(f1290,plain,
( spl80_101
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_101])]) ).
fof(f2262,plain,
~ sP66,
inference(trivial_inequality_removal,[],[f2261]) ).
fof(f2261,plain,
( ~ sP66
| e4 != e4 ),
inference(forward_demodulation,[],[f263,f168]) ).
fof(f168,plain,
e4 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
( e4 != op(e3,e3)
| ~ sP66 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e4 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e4 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f2260,plain,
~ spl80_120,
inference(avatar_split_clause,[],[f2259,f1386]) ).
fof(f1386,plain,
( spl80_120
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_120])]) ).
fof(f2259,plain,
~ sP12,
inference(trivial_inequality_removal,[],[f2258]) ).
fof(f2258,plain,
( ~ sP12
| e3 != e3 ),
inference(forward_demodulation,[],[f785,f614]) ).
fof(f614,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f183,f193]) ).
fof(f193,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f183,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f785,plain,
( ~ sP12
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f530,f193]) ).
fof(f530,plain,
( e3 != op(e0,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3)
& e3 != op(e3,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3)
& e3 != op(e3,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2240,plain,
~ spl80_61,
inference(avatar_split_clause,[],[f2239,f1102]) ).
fof(f1102,plain,
( spl80_61
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_61])]) ).
fof(f2239,plain,
~ sP29,
inference(trivial_inequality_removal,[],[f2238]) ).
fof(f2238,plain,
( unit != unit
| ~ sP29 ),
inference(forward_demodulation,[],[f742,f615]) ).
fof(f615,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f182,f193]) ).
fof(f182,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f742,plain,
( op(e4,e4) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f446,f193]) ).
fof(f446,plain,
( e0 != op(e4,e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f2233,plain,
spl80_144,
inference(avatar_split_clause,[],[f619,f1490]) ).
fof(f619,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f175,f193]) ).
fof(f175,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2230,plain,
( ~ spl80_29
| ~ spl80_33 ),
inference(avatar_split_clause,[],[f795,f975,f957]) ).
fof(f957,plain,
( spl80_29
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_29])]) ).
fof(f975,plain,
( spl80_33
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_33])]) ).
fof(f795,plain,
( e4 != op(e4,unit)
| ~ sP6 ),
inference(definition_unfolding,[],[f560,f193]) ).
fof(f560,plain,
( e4 != op(e4,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2228,plain,
~ spl80_154,
inference(avatar_split_clause,[],[f2227,f1530]) ).
fof(f1530,plain,
( spl80_154
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_154])]) ).
fof(f2227,plain,
~ sP42,
inference(trivial_inequality_removal,[],[f2226]) ).
fof(f2226,plain,
( e3 != e3
| ~ sP42 ),
inference(forward_demodulation,[],[f379,f170]) ).
fof(f379,plain,
( ~ sP42
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f2224,plain,
( ~ spl80_153
| ~ spl80_145 ),
inference(avatar_split_clause,[],[f769,f1494,f1526]) ).
fof(f1526,plain,
( spl80_153
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_153])]) ).
fof(f1494,plain,
( spl80_145
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_145])]) ).
fof(f769,plain,
( e4 != op(unit,e4)
| ~ sP21 ),
inference(definition_unfolding,[],[f487,f193]) ).
fof(f487,plain,
( e4 != op(e0,e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2217,plain,
spl80_142,
inference(avatar_split_clause,[],[f613,f1482]) ).
fof(f1482,plain,
( spl80_142
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_142])]) ).
fof(f613,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f184,f193]) ).
fof(f184,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2216,plain,
( ~ spl80_47
| ~ spl80_145 ),
inference(avatar_split_clause,[],[f623,f1494,f1039]) ).
fof(f1039,plain,
( spl80_47
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_47])]) ).
fof(f623,plain,
( e4 != op(unit,e4)
| ~ sP78 ),
inference(definition_unfolding,[],[f199,f193]) ).
fof(f199,plain,
( e4 != op(e0,e4)
| ~ sP78 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f2212,plain,
( ~ spl80_146
| ~ spl80_177 ),
inference(avatar_split_clause,[],[f195,f1656,f1498]) ).
fof(f1498,plain,
( spl80_146
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_146])]) ).
fof(f195,plain,
( e1 != op(e3,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f2205,plain,
spl80_177,
inference(avatar_split_clause,[],[f179,f1656]) ).
fof(f179,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2204,plain,
spl80_197,
inference(avatar_split_clause,[],[f169,f1797]) ).
fof(f169,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2201,plain,
( ~ spl80_139
| ~ spl80_197 ),
inference(avatar_split_clause,[],[f368,f1797,f1470]) ).
fof(f1470,plain,
( spl80_139
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_139])]) ).
fof(f368,plain,
( e2 != op(e3,e1)
| ~ sP45 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e0,e1)
& e2 != op(e1,e1) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e0,e1)
& e2 != op(e1,e1) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f2198,plain,
( ~ spl80_87
| ~ spl80_77 ),
inference(avatar_split_clause,[],[f309,f1177,f1226]) ).
fof(f1177,plain,
( spl80_77
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_77])]) ).
fof(f309,plain,
( ~ sP56
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f2194,plain,
( ~ spl80_51
| ~ spl80_17 ),
inference(avatar_split_clause,[],[f803,f903,f1057]) ).
fof(f1057,plain,
( spl80_51
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_51])]) ).
fof(f803,plain,
( op(e3,e2) != unit
| ~ sP2 ),
inference(definition_unfolding,[],[f583,f193]) ).
fof(f583,plain,
( e0 != op(e3,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2187,plain,
( ~ spl80_87
| ~ spl80_74 ),
inference(avatar_split_clause,[],[f316,f1164,f1226]) ).
fof(f1164,plain,
( spl80_74
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_74])]) ).
fof(f316,plain,
( ~ sP55
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f2185,plain,
( ~ spl80_62
| ~ spl80_151 ),
inference(avatar_split_clause,[],[f676,f1518,f1107]) ).
fof(f1518,plain,
( spl80_151
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_151])]) ).
fof(f676,plain,
( ~ sP59
| op(e1,e3) != unit ),
inference(definition_unfolding,[],[f296,f193]) ).
fof(f296,plain,
( e0 != op(e1,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f2179,plain,
~ spl80_127,
inference(avatar_split_clause,[],[f823,f1422]) ).
fof(f1422,plain,
( spl80_127
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_127])]) ).
fof(f823,plain,
~ sP27,
inference(trivial_inequality_removal,[],[f750]) ).
fof(f750,plain,
( unit != unit
| ~ sP27 ),
inference(definition_unfolding,[],[f454,f193]) ).
fof(f454,plain,
( e0 != unit
| ~ sP27 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e2 != unit
& e4 != unit
& e1 != unit
& e3 != unit
& e0 != unit )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e2 != unit
& e4 != unit
& e1 != unit
& e3 != unit
& e0 != unit )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f2176,plain,
( spl80_198
| ~ spl80_26
| ~ spl80_31 ),
inference(avatar_split_clause,[],[f2175,f966,f943,f1809]) ).
fof(f943,plain,
( spl80_26
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_26])]) ).
fof(f2175,plain,
( e1 != op(e2,e3)
| ~ sP41
| e2 = op(e1,e3) ),
inference(forward_demodulation,[],[f2174,f170]) ).
fof(f2174,plain,
( ~ sP41
| e1 != op(e2,e3)
| e2 = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[],[f385,f170]) ).
fof(f385,plain,
( ~ sP41
| e1 != op(e2,op(e1,e2))
| e2 = op(e1,op(e1,e2)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e4 != op(e2,op(e4,e2))
| e2 = op(e4,op(e4,e2)) ) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e4 != op(e2,op(e4,e2))
| e2 = op(e4,op(e4,e2)) ) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2173,plain,
( ~ spl80_128
| ~ spl80_189 ),
inference(avatar_split_clause,[],[f699,f1746,f1426]) ).
fof(f1426,plain,
( spl80_128
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_128])]) ).
fof(f699,plain,
( op(e2,e1) != unit
| ~ sP46 ),
inference(definition_unfolding,[],[f360,f193]) ).
fof(f360,plain,
( e0 != op(e2,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f2170,plain,
( spl80_232
| ~ spl80_233
| ~ spl80_91 ),
inference(avatar_split_clause,[],[f589,f1244,f2167,f2163]) ).
fof(f1244,plain,
( spl80_91
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_91])]) ).
fof(f589,plain,
( ~ sP0
| e3 != op(e1,op(e3,e1))
| e1 = op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e3 != op(e1,op(e3,e1))
| e1 = op(e3,op(e3,e1)) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e3 != op(e1,op(e3,e1))
| e1 = op(e3,op(e3,e1)) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2160,plain,
~ spl80_111,
inference(avatar_split_clause,[],[f821,f1337]) ).
fof(f821,plain,
e3 != unit,
inference(definition_unfolding,[],[f602,f193]) ).
fof(f602,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e2 != e4
& e0 != e2
& e3 != e4
& e0 != e4
& e1 != e4
& e1 != e3
& e0 != e3
& e1 != e2
& e0 != e1
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2156,plain,
~ spl80_94,
inference(avatar_split_clause,[],[f2155,f1259]) ).
fof(f1259,plain,
( spl80_94
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_94])]) ).
fof(f2155,plain,
~ sP75,
inference(trivial_inequality_removal,[],[f2154]) ).
fof(f2154,plain,
( ~ sP75
| e3 != e3 ),
inference(forward_demodulation,[],[f630,f614]) ).
fof(f630,plain,
( e3 != op(unit,e3)
| ~ sP75 ),
inference(definition_unfolding,[],[f218,f193]) ).
fof(f218,plain,
( e3 != op(e0,e3)
| ~ sP75 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f2145,plain,
( ~ spl80_9
| ~ spl80_72 ),
inference(avatar_split_clause,[],[f212,f1155,f866]) ).
fof(f866,plain,
( spl80_9
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_9])]) ).
fof(f1155,plain,
( spl80_72
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_72])]) ).
fof(f212,plain,
( ~ sP76
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e0) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e0) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f2140,plain,
~ spl80_57,
inference(avatar_split_clause,[],[f2139,f1084]) ).
fof(f1084,plain,
( spl80_57
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_57])]) ).
fof(f2139,plain,
~ sP69,
inference(trivial_inequality_removal,[],[f2138]) ).
fof(f2138,plain,
( unit != unit
| ~ sP69 ),
inference(forward_demodulation,[],[f648,f615]) ).
fof(f648,plain,
( op(e4,e4) != unit
| ~ sP69 ),
inference(definition_unfolding,[],[f248,f193]) ).
fof(f248,plain,
( e0 != op(e4,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f2131,plain,
spl80_173,
inference(avatar_split_clause,[],[f176,f1630]) ).
fof(f1630,plain,
( spl80_173
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_173])]) ).
fof(f176,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2115,plain,
spl80_189,
inference(avatar_split_clause,[],[f618,f1746]) ).
fof(f618,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f177,f193]) ).
fof(f177,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2111,plain,
( ~ spl80_85
| ~ spl80_169 ),
inference(avatar_split_clause,[],[f498,f1609,f1216]) ).
fof(f1216,plain,
( spl80_85
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_85])]) ).
fof(f498,plain,
( e3 != op(e2,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f2107,plain,
( ~ spl80_152
| ~ spl80_67 ),
inference(avatar_split_clause,[],[f696,f1130,f1522]) ).
fof(f1522,plain,
( spl80_152
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_152])]) ).
fof(f1130,plain,
( spl80_67
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_67])]) ).
fof(f696,plain,
( ~ sP47
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f356,f193]) ).
fof(f356,plain,
( e2 != op(e2,e0)
| ~ sP47 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2106,plain,
( ~ spl80_173
| ~ spl80_114 ),
inference(avatar_split_clause,[],[f281,f1353,f1630]) ).
fof(f1353,plain,
( spl80_114
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_114])]) ).
fof(f281,plain,
( ~ sP62
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f2105,plain,
( ~ spl80_131
| ~ spl80_12 ),
inference(avatar_split_clause,[],[f706,f880,f1438]) ).
fof(f880,plain,
( spl80_12
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_12])]) ).
fof(f706,plain,
( ~ sP40
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f392,f193]) ).
fof(f392,plain,
( e1 != op(e0,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e4 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e4 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f2103,plain,
( ~ spl80_35
| ~ spl80_228
| spl80_229 ),
inference(avatar_split_clause,[],[f520,f2100,f2096,f984]) ).
fof(f984,plain,
( spl80_35
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_35])]) ).
fof(f520,plain,
( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3))
| ~ sP14 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 != op(e3,op(e3,e3))
| e3 = op(e3,op(e3,e3)) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 != op(e3,op(e3,e3))
| e3 = op(e3,op(e3,e3)) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2090,plain,
spl80_169,
inference(avatar_split_clause,[],[f171,f1609]) ).
fof(f171,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2089,plain,
( ~ spl80_142
| ~ spl80_68 ),
inference(avatar_split_clause,[],[f682,f1135,f1482]) ).
fof(f1135,plain,
( spl80_68
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_68])]) ).
fof(f682,plain,
( ~ sP57
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f306,f193]) ).
fof(f306,plain,
( e2 != op(e0,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e3) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f2085,plain,
( ~ spl80_134
| ~ spl80_147 ),
inference(avatar_split_clause,[],[f653,f1502,f1450]) ).
fof(f1450,plain,
( spl80_134
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_134])]) ).
fof(f653,plain,
( e3 != op(e3,unit)
| ~ sP68 ),
inference(definition_unfolding,[],[f253,f193]) ).
fof(f253,plain,
( e3 != op(e3,e0)
| ~ sP68 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e4) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e4) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f2083,plain,
( ~ spl80_41
| ~ spl80_8 ),
inference(avatar_split_clause,[],[f669,f861,f1011]) ).
fof(f1011,plain,
( spl80_41
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_41])]) ).
fof(f861,plain,
( spl80_8
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_8])]) ).
fof(f669,plain,
( ~ sP60
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f293,f193,f193,f193]) ).
fof(f293,plain,
( e0 != op(e0,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e3,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e3,e0) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f2079,plain,
( spl80_104
| spl80_129
| spl80_77
| spl80_53
| spl80_153
| spl80_64
| spl80_116
| spl80_1
| spl80_6
| spl80_127
| spl80_132
| spl80_149
| spl80_96
| spl80_146
| ~ spl80_147
| spl80_120
| spl80_57
| spl80_154
| spl80_137
| spl80_86
| spl80_19
| spl80_68
| spl80_47
| ~ spl80_152
| spl80_16
| spl80_114
| spl80_26
| spl80_18
| spl80_61
| spl80_126
| spl80_50
| spl80_134
| spl80_3
| spl80_99
| spl80_42
| spl80_78
| spl80_12
| spl80_46
| ~ spl80_142
| spl80_8
| spl80_110
| spl80_92
| spl80_91
| spl80_133
| spl80_81
| spl80_107
| spl80_51
| spl80_128
| ~ spl80_144
| spl80_10
| spl80_74
| ~ spl80_33
| ~ spl80_41
| spl80_69
| spl80_32
| spl80_151
| spl80_40
| spl80_85
| spl80_150
| spl80_124
| spl80_14
| spl80_44
| spl80_27
| spl80_67
| spl80_35
| spl80_70
| spl80_140
| spl80_130
| ~ spl80_145
| spl80_119
| spl80_38
| spl80_139
| spl80_112
| spl80_56
| spl80_143
| ~ spl80_131
| spl80_72
| spl80_29
| spl80_136
| spl80_21
| spl80_59
| spl80_141
| spl80_135
| spl80_94
| spl80_101
| spl80_23
| spl80_105
| spl80_138 ),
inference(avatar_split_clause,[],[f2078,f1466,f1308,f930,f1290,f1259,f1454,f1478,f1093,f921,f1458,f957,f1155,f1438,f1486,f1079,f1342,f1470,f997,f1381,f1494,f1434,f1474,f1145,f984,f1130,f948,f1025,f889,f1405,f1514,f1216,f1006,f1518,f970,f1140,f1011,f975,f1164,f871,f1490,f1426,f1057,f1317,f1195,f1446,f1244,f1249,f1333,f861,f1482,f1034,f880,f1182,f1015,f1281,f839,f1450,f1052,f1414,f1102,f907,f943,f1353,f898,f1522,f1039,f1135,f912,f1222,f1462,f1530,f1084,f1386,f1502,f1498,f1268,f1510,f1442,f1422,f852,f830,f1366,f1116,f1526,f1066,f1177,f1430,f1303]) ).
fof(f1303,plain,
( spl80_104
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_104])]) ).
fof(f1430,plain,
( spl80_129
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_129])]) ).
fof(f1066,plain,
( spl80_53
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_53])]) ).
fof(f1116,plain,
( spl80_64
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_64])]) ).
fof(f1366,plain,
( spl80_116
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_116])]) ).
fof(f830,plain,
( spl80_1
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_1])]) ).
fof(f852,plain,
( spl80_6
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_6])]) ).
fof(f1442,plain,
( spl80_132
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_132])]) ).
fof(f1510,plain,
( spl80_149
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_149])]) ).
fof(f1268,plain,
( spl80_96
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_96])]) ).
fof(f1462,plain,
( spl80_137
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_137])]) ).
fof(f1222,plain,
( spl80_86
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_86])]) ).
fof(f912,plain,
( spl80_19
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_19])]) ).
fof(f898,plain,
( spl80_16
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_16])]) ).
fof(f907,plain,
( spl80_18
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_18])]) ).
fof(f1414,plain,
( spl80_126
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_126])]) ).
fof(f1052,plain,
( spl80_50
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_50])]) ).
fof(f839,plain,
( spl80_3
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_3])]) ).
fof(f1281,plain,
( spl80_99
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_99])]) ).
fof(f1015,plain,
( spl80_42
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_42])]) ).
fof(f1182,plain,
( spl80_78
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_78])]) ).
fof(f1034,plain,
( spl80_46
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_46])]) ).
fof(f1333,plain,
( spl80_110
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_110])]) ).
fof(f1249,plain,
( spl80_92
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_92])]) ).
fof(f1446,plain,
( spl80_133
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_133])]) ).
fof(f1195,plain,
( spl80_81
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_81])]) ).
fof(f1317,plain,
( spl80_107
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_107])]) ).
fof(f871,plain,
( spl80_10
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_10])]) ).
fof(f1140,plain,
( spl80_69
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_69])]) ).
fof(f970,plain,
( spl80_32
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_32])]) ).
fof(f1006,plain,
( spl80_40
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_40])]) ).
fof(f1514,plain,
( spl80_150
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_150])]) ).
fof(f1405,plain,
( spl80_124
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_124])]) ).
fof(f889,plain,
( spl80_14
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_14])]) ).
fof(f1025,plain,
( spl80_44
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_44])]) ).
fof(f948,plain,
( spl80_27
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_27])]) ).
fof(f1145,plain,
( spl80_70
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_70])]) ).
fof(f1474,plain,
( spl80_140
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_140])]) ).
fof(f1434,plain,
( spl80_130
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_130])]) ).
fof(f1381,plain,
( spl80_119
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_119])]) ).
fof(f997,plain,
( spl80_38
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_38])]) ).
fof(f1342,plain,
( spl80_112
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_112])]) ).
fof(f1079,plain,
( spl80_56
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_56])]) ).
fof(f1486,plain,
( spl80_143
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_143])]) ).
fof(f1458,plain,
( spl80_136
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_136])]) ).
fof(f921,plain,
( spl80_21
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_21])]) ).
fof(f1093,plain,
( spl80_59
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_59])]) ).
fof(f1478,plain,
( spl80_141
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_141])]) ).
fof(f1454,plain,
( spl80_135
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_135])]) ).
fof(f930,plain,
( spl80_23
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_23])]) ).
fof(f1308,plain,
( spl80_105
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_105])]) ).
fof(f1466,plain,
( spl80_138
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl80_138])]) ).
fof(f2078,plain,
( sP23
| sP20
| sP39
| sP66
| sP75
| sP71
| sP15
| sP26
| sP51
| sP74
| sP6
| sP76
| e1 != op(unit,e1)
| sP25
| sP73
| sP31
| sP45
| sP1
| sP33
| e4 != op(unit,e4)
| sP48
| sP34
| sP49
| sP14
| sP47
| sP72
| sP7
| sP16
| sP52
| sP9
| sP19
| sP10
| sP59
| sP43
| sP53
| unit != op(unit,unit)
| e4 != op(e4,unit)
| sP55
| sP77
| e1 != op(e1,unit)
| sP46
| sP2
| sP35
| sP28
| sP67
| sP0
| sP4
| sP36
| sP60
| e2 != op(unit,e2)
| sP63
| sP40
| sP11
| sP38
| sP44
| sP5
| sP68
| sP64
| sP22
| sP29
| sP8
| sP41
| sP62
| sP18
| e2 != op(e2,unit)
| sP78
| sP57
| sP24
| sP65
| sP37
| sP42
| sP69
| sP12
| e3 != op(e3,unit)
| sP79
| sP54
| sP30
| sP58
| sP27
| sP13
| sP61
| sP17
| sP50
| sP21
| sP3
| sP56
| sP70
| sP32 ),
inference(trivial_inequality_removal,[],[f2077]) ).
fof(f2077,plain,
( sP55
| sP19
| sP48
| sP27
| sP14
| sP10
| sP26
| e4 != op(unit,e4)
| sP13
| sP78
| sP6
| sP33
| sP60
| sP58
| sP8
| sP40
| e2 != op(unit,e2)
| sP25
| sP9
| sP49
| sP67
| sP24
| unit != op(unit,unit)
| sP31
| sP44
| sP1
| sP34
| sP0
| sP22
| sP56
| sP76
| sP72
| sP57
| sP36
| sP79
| sP68
| sP29
| sP54
| sP62
| sP75
| e4 != op(e4,unit)
| sP52
| sP53
| sP70
| sP65
| sP17
| sP73
| sP28
| e2 != op(e2,unit)
| sP66
| sP74
| sP12
| sP46
| sP41
| sP45
| sP38
| sP43
| sP77
| sP11
| sP4
| e3 != e3
| sP21
| sP69
| sP71
| sP64
| sP7
| e3 != op(e3,unit)
| sP35
| sP3
| sP20
| sP50
| sP42
| sP15
| sP16
| sP61
| sP39
| e1 != op(e1,unit)
| sP32
| sP47
| sP37
| sP30
| sP59
| sP51
| sP23
| sP5
| sP18
| sP2
| sP63
| e1 != op(unit,e1) ),
inference(forward_demodulation,[],[f825,f614]) ).
fof(f825,plain,
( sP10
| sP38
| sP28
| sP27
| sP64
| sP31
| sP14
| sP63
| e1 != op(unit,e1)
| e2 != op(e2,unit)
| sP70
| sP43
| sP15
| sP32
| sP39
| sP66
| sP30
| sP48
| sP34
| e2 != op(unit,e2)
| sP3
| sP77
| sP57
| sP76
| sP74
| sP20
| sP68
| sP36
| sP56
| sP60
| sP6
| sP78
| sP67
| sP5
| sP2
| sP72
| sP54
| sP45
| sP23
| sP35
| e4 != op(e4,unit)
| sP33
| sP73
| sP79
| sP29
| sP37
| sP7
| sP58
| sP19
| sP13
| sP53
| sP49
| sP40
| sP55
| sP62
| sP65
| sP75
| sP16
| sP12
| sP22
| sP1
| sP69
| sP24
| sP59
| sP44
| sP42
| sP11
| sP51
| sP0
| sP50
| sP18
| sP26
| sP46
| e3 != op(unit,e3)
| sP4
| sP21
| sP61
| sP47
| e1 != op(e1,unit)
| e3 != op(e3,unit)
| sP71
| sP41
| sP25
| e4 != op(unit,e4)
| sP17
| sP9
| sP8
| unit != op(unit,unit)
| sP52 ),
inference(duplicate_literal_removal,[],[f818]) ).
fof(f818,plain,
( sP33
| sP14
| sP29
| sP12
| sP31
| sP35
| sP76
| sP62
| sP27
| sP69
| sP38
| sP3
| sP2
| e3 != op(e3,unit)
| sP10
| sP9
| sP1
| sP39
| sP23
| sP67
| sP58
| sP32
| sP54
| sP11
| sP75
| sP15
| sP41
| sP59
| sP24
| sP18
| e4 != op(unit,e4)
| e3 != op(unit,e3)
| sP40
| sP48
| e2 != op(unit,e2)
| sP43
| sP57
| sP77
| e4 != op(e4,unit)
| sP13
| sP68
| sP21
| sP45
| sP65
| sP17
| sP71
| sP51
| sP22
| sP52
| sP30
| sP49
| sP63
| sP61
| sP7
| sP74
| sP73
| unit != op(unit,unit)
| sP72
| e1 != op(e1,unit)
| sP42
| sP70
| unit != op(unit,unit)
| sP64
| sP8
| sP66
| sP50
| sP4
| sP47
| sP0
| sP25
| sP19
| sP28
| sP78
| sP36
| sP6
| e2 != op(e2,unit)
| sP44
| sP20
| sP55
| e1 != op(unit,e1)
| sP37
| sP5
| sP46
| sP34
| sP79
| sP60
| sP56
| sP26
| sP16
| e2 != op(unit,e2)
| sP53 ),
inference(definition_unfolding,[],[f594,f193,f193,f193,f193,f193]) ).
fof(f594,plain,
( e2 != op(e0,e2)
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| e3 != op(unit,e3)
| sP48
| sP47
| sP46
| sP45
| sP44
| e3 != op(e3,unit)
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| e0 != op(e0,unit)
| sP37
| sP36
| sP35
| e4 != op(e4,unit)
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| e1 != op(e1,unit)
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| e4 != op(unit,e4)
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| e0 != op(unit,e0)
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| e2 != op(e2,unit)
| sP5
| e2 != op(unit,e2)
| sP4
| sP3
| e1 != op(unit,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e2 != op(e1,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e4,e2)
& e2 != op(e0,e2) )
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| e3 != op(unit,e3)
| sP48
| sP47
| sP46
| sP45
| sP44
| e3 != op(e3,unit)
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| e0 != op(e0,unit)
| sP37
| sP36
| sP35
| e4 != op(e4,unit)
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| e1 != op(e1,unit)
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| e4 != op(unit,e4)
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| e0 != op(unit,e0)
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| e2 != op(e2,unit)
| sP5
| e2 != op(unit,e2)
| sP4
| sP3
| e1 != op(unit,e1)
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f6,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(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
( ( e4 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e0)
& e4 != op(e3,e4) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ( e4 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e3 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( ( e4 != op(e0,op(e4,e0))
| e0 = op(e4,op(e4,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e1 != op(e0,op(e1,e0))
| e0 = op(e1,op(e1,e0)) )
& ( e2 != op(e0,op(e2,e0))
| e0 = op(e2,op(e2,e0)) )
& ( e0 = op(e0,op(e0,e0))
| e0 != op(e0,op(e0,e0)) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1)
& e3 != op(e0,e1)
& e3 != op(e2,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e4 != op(e3,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e1) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e4 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e4) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
( ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e4) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4)
& e1 != op(e2,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e2 != op(e4,op(e2,e4))
| e4 = op(e2,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 != op(e4,op(e4,e4))
| e4 = op(e4,op(e4,e4)) ) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ( e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4)
& e0 != op(e2,e3) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ( e4 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( e3 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f51,plain,
( ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e4) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f56,plain,
( ( e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f57,plain,
( ( e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f58,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e0)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f59,plain,
( ( e4 != op(e0,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2)
& e4 != op(e1,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f60,plain,
( ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f61,plain,
( ( e3 != op(e1,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( ( e4 != op(e3,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e2,e3) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f68,plain,
( ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f70,plain,
( ( e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f71,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f72,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f74,plain,
( ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f77,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f78,plain,
( ( e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f79,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f80,plain,
( ( e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f81,plain,
( ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f84,plain,
( ( e3 != op(e0,e2)
& e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f6,plain,
( ( e2 != op(e1,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e4,e2)
& e2 != op(e0,e2) )
| ( e1 != op(e2,e4)
& e1 != op(e4,e4)
& e1 != op(e1,e4)
& e1 != op(e3,e4)
& e1 != op(e0,e4) )
| ( e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4)
& e4 != op(e0,e4) )
| ( e3 != op(e0,e2)
& e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2) )
| ( e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e3)
& e3 != op(e4,e4)
& e3 != op(e4,e0) )
| ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e4 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0)
& e4 != op(e2,e0) )
| ( e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e0) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ( e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1) )
| ( e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ( e0 != op(e4,e4)
& e0 != op(e4,e0)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e4) )
| ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4) )
| ( e4 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3) )
| ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ( e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ( e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e4 != op(e4,e2)
& e0 != op(e4,e2) )
| ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e4,e0)
& e0 != op(e3,e0) )
| ( e0 != op(e4,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3) )
| ( e4 != op(e3,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e2,e3) )
| ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e2)
& e2 != op(e0,e4)
& e2 != op(e0,e3) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ( e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e3)
& e2 != op(e4,e4)
& e2 != op(e4,e0) )
| ( e3 != op(e1,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1) )
| ( e4 != op(e0,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2)
& e4 != op(e1,e2) )
| ( e3 != op(e2,e2)
& e3 != op(e2,e0)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1) )
| ( e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2) )
| e3 != op(unit,e3)
| ( e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e4) )
| ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e4 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e4,e1)
& e2 != op(e0,e1)
& e2 != op(e1,e1) )
| ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1) )
| e3 != op(e3,unit)
| ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e4)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ( ( e2 = op(e3,op(e3,e2))
| e3 != op(e2,op(e3,e2)) )
& ( e2 = op(e0,op(e0,e2))
| e0 != op(e2,op(e0,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e4 != op(e2,op(e4,e2))
| e2 = op(e4,op(e4,e2)) ) )
| ( e4 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e3 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1) )
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| e0 != op(e0,unit)
| ( e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ( e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| ( e4 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4) )
| e4 != op(e4,unit)
| ( e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4)
& e0 != op(e2,e3) )
| ( e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0) )
| ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e2 != op(e4,op(e2,e4))
| e4 = op(e2,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 != op(e4,op(e4,e4))
| e4 = op(e4,op(e4,e4)) ) )
| ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4)
& e1 != op(e2,e0) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e4) )
| ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4) )
| e1 != op(e1,unit)
| ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0) )
| ( e2 != unit
& e4 != unit
& e1 != unit
& e3 != unit
& e0 != unit )
| ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e3) )
| ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e4) )
| ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e4 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e1)
& e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e0) )
| e4 != op(unit,e4)
| ( e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e1) )
| ( e3 != op(e2,e4)
& e2 != op(e2,e4)
& e0 != op(e2,e4)
& e4 != op(e2,e4)
& e1 != op(e2,e4) )
| ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ( e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ( e4 != op(e3,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0) )
| ( e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e4) )
| ( ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e2,op(e2,e3))
| e2 != op(e3,op(e2,e3)) )
& ( e3 != op(e3,op(e3,e3))
| e3 = op(e3,op(e3,e3)) ) )
| ( e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1)
& e3 != op(e0,e1)
& e3 != op(e2,e1) )
| ( e3 != op(e4,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3)
& e3 != op(e3,e3) )
| e0 != op(unit,e0)
| ( ( e4 != op(e0,op(e4,e0))
| e0 = op(e4,op(e4,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e1 != op(e0,op(e1,e0))
| e0 = op(e1,op(e1,e0)) )
& ( e2 != op(e0,op(e2,e0))
| e0 = op(e2,op(e2,e0)) )
& ( e0 = op(e0,op(e0,e0))
| e0 != op(e0,op(e0,e0)) ) )
| ( e3 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ( e4 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e0)
& e4 != op(e3,e4) )
| ( e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e4)
& e4 != op(e4,e0)
& e4 != op(e4,e3) )
| e2 != op(e2,unit)
| ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4) )
| e2 != op(unit,e2)
| ( e4 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| ( e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e4 != op(e3,e0) )
| e1 != op(unit,e1)
| ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e4,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4) )
| ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e2,op(e2,e1))
| e2 != op(e1,op(e2,e1)) )
& ( e3 != op(e1,op(e3,e1))
| e1 = op(e3,op(e3,e1)) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ( e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1) )
& ( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e0 = op(e4,e1)
| e4 = op(e4,e1)
| e3 = op(e4,e1) )
& ( e3 = op(e3,e3)
| e3 = op(e4,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e4) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e1) )
& ( e1 = op(e2,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e3,e0)
| e0 = op(e3,e4)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e0) )
& ( e4 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e4,e1)
| e4 = op(e0,e1)
| e4 = op(e1,e1) )
& e0 = op(e0,unit)
& ( e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e3) )
& ( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e0 = op(e4,e0)
| e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0) )
& e0 = op(unit,e0)
& ( e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e4)
| e2 = op(e0,e0)
| e2 = op(e0,e2)
| e2 = op(e0,e1) )
& ( e3 = op(e2,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4)
| e3 = op(e4,e4)
| e3 = op(e1,e4) )
& ( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) )
& e4 = op(unit,e4)
& ( e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3) )
& e2 = op(e2,unit)
& ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = op(e0,e4)
| e0 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| e2 = op(e2,e2)
| e2 = op(e2,e3) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4) )
& ( e4 = op(e1,e0)
| e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e3)
| e4 = op(e1,e4) )
& ( e4 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e1) )
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) )
& e1 = op(e1,unit)
& ( e0 = op(e4,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e4,e3)
| e2 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e2 = op(e4,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e4 = op(e0,e3) )
& e3 = op(unit,e3)
& ( e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1) )
& ( e3 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4)
| e1 = op(e1,e4) )
& ( e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e4)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e1 = op(e0,e0)
| e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| e1 = op(e0,e3) )
& e2 = op(unit,e2)
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e4) )
& ( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2)
| e1 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e4 = op(e3,e2) )
& ( e3 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2) )
& ( ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) ) )
& ( e4 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3) )
& ( ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e1 != op(e2,op(e2,e1))
& e2 = op(e1,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) ) )
& ( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2) )
& ( e2 = op(e1,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4)
| e2 = op(e2,e4) )
& e4 = op(e4,unit)
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| e3 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e4 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = unit )
& ( e0 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e4 = op(e1,e2) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e4,e0)
| e1 = op(e2,e0)
| e1 = op(e0,e0) )
& ( ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) ) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e4) )
& ( e4 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& e3 = op(e3,unit)
& ( e0 = op(e4,e4)
| e0 = op(e4,e0)
| e0 = op(e4,e1)
| e0 = op(e4,e3)
| e0 = op(e4,e2) )
& e1 = op(unit,e1)
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e4 = op(e0,e2) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e4) )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e4,e1) )
& ( ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) ) )
& ( e1 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e4 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e0) )
& ( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 != op(e0,op(e0,e2))
& e0 = op(e2,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) ) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e0)
| e3 = op(e0,e4) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e2) )
& ( e3 = op(e0,e4)
| e1 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e4) )
& ( e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e0,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e4) )
& ( e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e4,e2)
| e4 = op(e1,e2) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ( e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1) )
& ( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e0 = op(e4,e1)
| e4 = op(e4,e1)
| e3 = op(e4,e1) )
& ( e3 = op(e3,e3)
| e3 = op(e4,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e4) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e1) )
& ( e1 = op(e2,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e3,e0)
| e0 = op(e3,e4)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e0) )
& ( e4 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e4,e1)
| e4 = op(e0,e1)
| e4 = op(e1,e1) )
& e0 = op(e0,unit)
& ( e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2) )
& ( e4 = op(e0,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e3) )
& ( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e0 = op(e4,e0)
| e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0) )
& e0 = op(unit,e0)
& ( e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e4)
| e2 = op(e0,e0)
| e2 = op(e0,e2)
| e2 = op(e0,e1) )
& ( e3 = op(e2,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4)
| e3 = op(e4,e4)
| e3 = op(e1,e4) )
& ( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) )
& e4 = op(unit,e4)
& ( e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3) )
& e2 = op(e2,unit)
& ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = op(e0,e4)
| e0 = op(e3,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| e2 = op(e2,e2)
| e2 = op(e2,e3) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4) )
& ( e4 = op(e1,e0)
| e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e3)
| e4 = op(e1,e4) )
& ( e4 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e1) )
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) )
& e1 = op(e1,unit)
& ( e0 = op(e4,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e4,e3)
| e2 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e2 = op(e4,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e4 = op(e0,e3) )
& e3 = op(unit,e3)
& ( e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1) )
& ( e3 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4)
| e1 = op(e1,e4) )
& ( e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e4)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e1 = op(e0,e0)
| e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| e1 = op(e0,e3) )
& e2 = op(unit,e2)
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e4) )
& ( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2)
| e1 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e4 = op(e3,e2) )
& ( e3 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2) )
& ( ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) ) )
& ( e4 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3) )
& ( ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e1 != op(e2,op(e2,e1))
& e2 = op(e1,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) ) )
& ( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2) )
& ( e2 = op(e1,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4)
| e2 = op(e2,e4) )
& e4 = op(e4,unit)
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| e3 = op(e0,e0)
| e4 = op(e0,e0) )
& ( e4 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = unit )
& ( e0 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e4 = op(e1,e2) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e4,e0)
| e1 = op(e2,e0)
| e1 = op(e0,e0) )
& ( ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) ) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e4) )
& ( e4 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& e3 = op(e3,unit)
& ( e0 = op(e4,e4)
| e0 = op(e4,e0)
| e0 = op(e4,e1)
| e0 = op(e4,e3)
| e0 = op(e4,e2) )
& e1 = op(unit,e1)
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e4 = op(e0,e2) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e4) )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e4,e1) )
& ( ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) ) )
& ( e1 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e4 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e0) )
& ( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 != op(e0,op(e0,e2))
& e0 = op(e2,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) ) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e0)
| e3 = op(e0,e4) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e2) )
& ( e3 = op(e0,e4)
| e1 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e4) )
& ( e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e0,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e4) )
& ( e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e4,e2)
| e4 = op(e1,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2075,plain,
( ~ spl80_116
| ~ spl80_177 ),
inference(avatar_split_clause,[],[f507,f1656,f1366]) ).
fof(f507,plain,
( e1 != op(e3,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e4)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f2048,plain,
( ~ spl80_142
| ~ spl80_10 ),
inference(avatar_split_clause,[],[f626,f871,f1482]) ).
fof(f626,plain,
( ~ sP77
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f206,f193]) ).
fof(f206,plain,
( e2 != op(e0,e2)
| ~ sP77 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e3 != op(e0,e2)
& e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2045,plain,
( ~ spl80_169
| ~ spl80_21 ),
inference(avatar_split_clause,[],[f336,f921,f1609]) ).
fof(f336,plain,
( ~ sP51
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e0)
& e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e1) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2039,plain,
( ~ spl80_99
| ~ spl80_20 ),
inference(avatar_split_clause,[],[f371,f916,f1281]) ).
fof(f371,plain,
( e4 != op(e1,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 != op(e0,e1)
& e4 != op(e3,e1)
& e4 != op(e1,e1)
& e4 != op(e4,e1)
& e4 != op(e2,e1) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2037,plain,
~ spl80_107,
inference(avatar_split_clause,[],[f2036,f1317]) ).
fof(f2036,plain,
~ sP35,
inference(trivial_inequality_removal,[],[f2035]) ).
fof(f2035,plain,
( unit != unit
| ~ sP35 ),
inference(forward_demodulation,[],[f726,f615]) ).
fof(f726,plain,
( ~ sP35
| op(e4,e4) != unit ),
inference(definition_unfolding,[],[f417,f193]) ).
fof(f417,plain,
( e0 != op(e4,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e4 != op(e4,e4)
& e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2031,plain,
( ~ spl80_41
| ~ spl80_56 ),
inference(avatar_split_clause,[],[f644,f1079,f1011]) ).
fof(f644,plain,
( ~ sP73
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f224,f193,f193,f193]) ).
fof(f224,plain,
( e0 != op(e0,e0)
| ~ sP73 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2024,plain,
( ~ spl80_126
| ~ spl80_144 ),
inference(avatar_split_clause,[],[f764,f1490,f1414]) ).
fof(f764,plain,
( e1 != op(e1,unit)
| ~ sP22 ),
inference(definition_unfolding,[],[f482,f193]) ).
fof(f482,plain,
( e1 != op(e1,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e4 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f2021,plain,
spl80_41,
inference(avatar_split_clause,[],[f620,f1011]) ).
fof(f620,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f174,f193,f193,f193]) ).
fof(f174,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2020,plain,
~ spl80_150,
inference(avatar_split_clause,[],[f2019,f1514]) ).
fof(f2019,plain,
~ sP9,
inference(trivial_inequality_removal,[],[f2018]) ).
fof(f2018,plain,
( ~ sP9
| e3 != e3 ),
inference(forward_demodulation,[],[f544,f170]) ).
fof(f544,plain,
( e3 != op(e1,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e4 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f2014,plain,
spl80_152,
inference(avatar_split_clause,[],[f610,f1522]) ).
fof(f610,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f188,f193]) ).
fof(f188,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2010,plain,
~ spl80_186,
inference(avatar_split_clause,[],[f603,f1729]) ).
fof(f603,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1992,plain,
spl80_123,
inference(avatar_split_clause,[],[f192,f1401]) ).
fof(f1401,plain,
( spl80_123
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_123])]) ).
fof(f192,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1970,plain,
spl80_87,
inference(avatar_split_clause,[],[f181,f1226]) ).
fof(f181,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1964,plain,
( ~ spl80_147
| ~ spl80_81 ),
inference(avatar_split_clause,[],[f747,f1195,f1502]) ).
fof(f747,plain,
( ~ sP28
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f451,f193]) ).
fof(f451,plain,
( e3 != op(e3,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e3,e0)
& e3 != op(e1,e0)
& e3 != op(e4,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1963,plain,
( ~ spl80_144
| ~ spl80_130 ),
inference(avatar_split_clause,[],[f693,f1434,f1490]) ).
fof(f693,plain,
( ~ sP48
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f351,f193]) ).
fof(f351,plain,
( e1 != op(e1,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e2)
& e1 != op(e1,e4) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1921,plain,
( ~ spl80_135
| ~ spl80_197 ),
inference(avatar_split_clause,[],[f238,f1797,f1454]) ).
fof(f238,plain,
( e2 != op(e3,e1)
| ~ sP71 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f1905,plain,
( ~ spl80_17
| ~ spl80_138 ),
inference(avatar_split_clause,[],[f761,f1466,f903]) ).
fof(f761,plain,
( ~ sP23
| op(e3,e2) != unit ),
inference(definition_unfolding,[],[f475,f193]) ).
fof(f475,plain,
( e0 != op(e3,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e0 != op(e3,e1)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1883,plain,
( ~ spl80_59
| ~ spl80_31 ),
inference(avatar_split_clause,[],[f463,f966,f1093]) ).
fof(f463,plain,
( e1 != op(e2,e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e4 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1882,plain,
~ spl80_132,
inference(avatar_split_clause,[],[f1881,f1442]) ).
fof(f1881,plain,
~ sP58,
inference(trivial_inequality_removal,[],[f1880]) ).
fof(f1880,plain,
( e4 != e4
| ~ sP58 ),
inference(forward_demodulation,[],[f303,f168]) ).
fof(f303,plain,
( ~ sP58
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e4 != op(e3,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3)
& e4 != op(e4,e3)
& e4 != op(e2,e3) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1866,plain,
spl80_145,
inference(avatar_split_clause,[],[f609,f1494]) ).
fof(f609,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f190,f193]) ).
fof(f190,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1865,plain,
spl80_20,
inference(avatar_split_clause,[],[f186,f916]) ).
fof(f186,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1863,plain,
spl80_17,
inference(avatar_split_clause,[],[f617,f903]) ).
fof(f617,plain,
op(e3,e2) = unit,
inference(definition_unfolding,[],[f178,f193]) ).
fof(f178,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1857,plain,
( ~ spl80_137
| ~ spl80_144 ),
inference(avatar_split_clause,[],[f717,f1490,f1462]) ).
fof(f717,plain,
( e1 != op(e1,unit)
| ~ sP37 ),
inference(definition_unfolding,[],[f407,f193]) ).
fof(f407,plain,
( e1 != op(e1,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e1 != op(e4,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1853,plain,
( ~ spl80_3
| ~ spl80_65 ),
inference(avatar_split_clause,[],[f565,f1121,f839]) ).
fof(f1121,plain,
( spl80_65
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_65])]) ).
fof(f565,plain,
( e2 != op(e1,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e0 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1847,plain,
~ spl80_44,
inference(avatar_split_clause,[],[f1846,f1025]) ).
fof(f1846,plain,
~ sP7,
inference(trivial_inequality_removal,[],[f1845]) ).
fof(f1845,plain,
( ~ sP7
| e4 != e4 ),
inference(forward_demodulation,[],[f558,f168]) ).
fof(f558,plain,
( e4 != op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e4 != op(e3,e3)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e0)
& e4 != op(e3,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1834,plain,
( ~ spl80_9
| ~ spl80_23 ),
inference(avatar_split_clause,[],[f398,f930,f866]) ).
fof(f398,plain,
( ~ sP39
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e3 != op(e4,e1)
& e4 != op(e4,e1)
& e0 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1833,plain,
( ~ spl80_112
| ~ spl80_31 ),
inference(avatar_split_clause,[],[f436,f966,f1342]) ).
fof(f436,plain,
( e1 != op(e2,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4)
& e1 != op(e2,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1832,plain,
( ~ spl80_53
| ~ spl80_147 ),
inference(avatar_split_clause,[],[f800,f1502,f1066]) ).
fof(f800,plain,
( e3 != op(e3,unit)
| ~ sP3 ),
inference(definition_unfolding,[],[f576,f193]) ).
fof(f576,plain,
( e3 != op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1825,plain,
( ~ spl80_1
| ~ spl80_131 ),
inference(avatar_split_clause,[],[f664,f1438,f830]) ).
fof(f664,plain,
( e1 != op(unit,e1)
| ~ sP61 ),
inference(definition_unfolding,[],[f288,f193]) ).
fof(f288,plain,
( e1 != op(e0,e1)
| ~ sP61 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e4) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f1818,plain,
~ spl80_165,
inference(avatar_split_clause,[],[f604,f1588]) ).
fof(f604,plain,
e1 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f1800,plain,
( ~ spl80_197
| ~ spl80_149 ),
inference(avatar_split_clause,[],[f442,f1510,f1797]) ).
fof(f442,plain,
( ~ sP30
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e4) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1795,plain,
( ~ spl80_123
| ~ spl80_141 ),
inference(avatar_split_clause,[],[f515,f1478,f1401]) ).
fof(f515,plain,
( ~ sP15
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e4 != op(e2,e3)
& e4 != op(e2,e1)
& e4 != op(e2,e0)
& e4 != op(e2,e2)
& e4 != op(e2,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1789,plain,
~ spl80_46,
inference(avatar_split_clause,[],[f1788,f1034]) ).
fof(f1788,plain,
~ sP63,
inference(trivial_inequality_removal,[],[f1787]) ).
fof(f1787,plain,
( e3 != e3
| ~ sP63 ),
inference(forward_demodulation,[],[f662,f614]) ).
fof(f662,plain,
( e3 != op(unit,e3)
| ~ sP63 ),
inference(definition_unfolding,[],[f274,f193]) ).
fof(f274,plain,
( e3 != op(e0,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e3 != op(e0,e1)
& e3 != op(e0,e0)
& e3 != op(e0,e4)
& e3 != op(e0,e2)
& e3 != op(e0,e3) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1785,plain,
( ~ spl80_70
| ~ spl80_173 ),
inference(avatar_split_clause,[],[f346,f1630,f1145]) ).
fof(f346,plain,
( e1 != op(e4,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e4,e2)
& e1 != op(e0,e2)
& e1 != op(e2,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1784,plain,
spl80_62,
inference(avatar_split_clause,[],[f616,f1107]) ).
fof(f616,plain,
op(e1,e3) = unit,
inference(definition_unfolding,[],[f180,f193]) ).
fof(f180,plain,
e0 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1760,plain,
( ~ spl80_78
| ~ spl80_190
| spl80_191 ),
inference(avatar_split_clause,[],[f788,f1757,f1753,f1182]) ).
fof(f788,plain,
( unit = op(e1,op(e1,unit))
| e1 != op(unit,op(e1,unit))
| ~ sP11 ),
inference(definition_unfolding,[],[f536,f193,f193,f193,f193]) ).
fof(f536,plain,
( e1 != op(e0,op(e1,e0))
| e0 = op(e1,op(e1,e0))
| ~ sP11 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( ( e4 != op(e0,op(e4,e0))
| e0 = op(e4,op(e4,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e1 != op(e0,op(e1,e0))
| e0 = op(e1,op(e1,e0)) )
& ( e2 != op(e0,op(e2,e0))
| e0 = op(e2,op(e2,e0)) )
& ( e0 = op(e0,op(e0,e0))
| e0 != op(e0,op(e0,e0)) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1750,plain,
( ~ spl80_143
| ~ spl80_189 ),
inference(avatar_split_clause,[],[f756,f1746,f1486]) ).
fof(f756,plain,
( op(e2,e1) != unit
| ~ sP25 ),
inference(definition_unfolding,[],[f464,f193]) ).
fof(f464,plain,
( e0 != op(e2,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1749,plain,
( ~ spl80_140
| ~ spl80_189 ),
inference(avatar_split_clause,[],[f729,f1746,f1474]) ).
fof(f729,plain,
( op(e2,e1) != unit
| ~ sP34 ),
inference(definition_unfolding,[],[f421,f193]) ).
fof(f421,plain,
( e0 != op(e2,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e4)
& e0 != op(e2,e3) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1739,plain,
spl80_147,
inference(avatar_split_clause,[],[f621,f1502]) ).
fof(f621,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f173,f193]) ).
fof(f173,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1726,plain,
( ~ spl80_65
| ~ spl80_16 ),
inference(avatar_split_clause,[],[f501,f898,f1121]) ).
fof(f501,plain,
( ~ sP18
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e2 != op(e0,e4)
& e2 != op(e3,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e4,e4) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1714,plain,
spl80_31,
inference(avatar_split_clause,[],[f189,f966]) ).
fof(f189,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1711,plain,
( ~ spl80_110
| ~ spl80_62 ),
inference(avatar_split_clause,[],[f724,f1107,f1333]) ).
fof(f724,plain,
( op(e1,e3) != unit
| ~ sP36 ),
inference(definition_unfolding,[],[f410,f193]) ).
fof(f410,plain,
( e0 != op(e1,e3)
| ~ sP36 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1700,plain,
( ~ spl80_64
| ~ spl80_131 ),
inference(avatar_split_clause,[],[f691,f1438,f1116]) ).
fof(f691,plain,
( e1 != op(unit,e1)
| ~ sP50 ),
inference(definition_unfolding,[],[f339,f193]) ).
fof(f339,plain,
( e1 != op(e0,e1)
| ~ sP50 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e1 != op(e3,e1)
& e1 != op(e4,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1699,plain,
( ~ spl80_123
| ~ spl80_92 ),
inference(avatar_split_clause,[],[f573,f1249,f1401]) ).
fof(f573,plain,
( ~ sP4
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e4 != op(e2,e2)
& e1 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1688,plain,
spl80_131,
inference(avatar_split_clause,[],[f612,f1438]) ).
fof(f612,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f185,f193]) ).
fof(f185,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1687,plain,
( ~ spl80_145
| ~ spl80_38 ),
inference(avatar_split_clause,[],[f808,f997,f1494]) ).
fof(f808,plain,
( ~ sP1
| e4 != op(unit,e4) ),
inference(definition_unfolding,[],[f588,f193]) ).
fof(f588,plain,
( e4 != op(e0,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e4 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1685,plain,
~ spl80_166,
inference(avatar_split_clause,[],[f819,f1593]) ).
fof(f819,plain,
e2 != unit,
inference(definition_unfolding,[],[f607,f193]) ).
fof(f607,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1680,plain,
( ~ spl80_152
| ~ spl80_136 ),
inference(avatar_split_clause,[],[f636,f1458,f1522]) ).
fof(f636,plain,
( ~ sP74
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f222,f193]) ).
fof(f222,plain,
( e2 != op(e2,e0)
| ~ sP74 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f1677,plain,
( ~ spl80_152
| ~ spl80_105 ),
inference(avatar_split_clause,[],[f773,f1308,f1522]) ).
fof(f773,plain,
( ~ sP20
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f491,f193]) ).
fof(f491,plain,
( e2 != op(e2,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e4)
& e2 != op(e2,e1) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1659,plain,
( ~ spl80_177
| ~ spl80_40 ),
inference(avatar_split_clause,[],[f539,f1006,f1656]) ).
fof(f539,plain,
( ~ sP10
| e1 != op(e3,e4) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e3 != op(e3,e4)
& e0 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4)
& e1 != op(e3,e4) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1649,plain,
( ~ spl80_33
| ~ spl80_119 ),
inference(avatar_split_clause,[],[f733,f1381,f975]) ).
fof(f733,plain,
( ~ sP33
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f427,f193]) ).
fof(f427,plain,
( e4 != op(e4,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e1 != op(e4,e0)
& e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1633,plain,
( ~ spl80_173
| ~ spl80_129 ),
inference(avatar_split_clause,[],[f243,f1430,f1630]) ).
fof(f243,plain,
( ~ sP70
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0)
& e1 != op(e4,e4)
& e1 != op(e4,e3) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1612,plain,
( ~ spl80_133
| ~ spl80_169 ),
inference(avatar_split_clause,[],[f257,f1609,f1446]) ).
fof(f257,plain,
( e3 != op(e2,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4)
& e3 != op(e4,e4) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f1575,plain,
~ spl80_148,
inference(avatar_split_clause,[],[f599,f1506]) ).
fof(f599,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1408,plain,
( ~ spl80_123
| ~ spl80_124 ),
inference(avatar_split_clause,[],[f332,f1405,f1401]) ).
fof(f332,plain,
( ~ sP52
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e4 != op(e0,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2)
& e4 != op(e1,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1360,plain,
~ spl80_96,
inference(avatar_split_clause,[],[f1359,f1268]) ).
fof(f1359,plain,
~ sP54,
inference(trivial_inequality_removal,[],[f1358]) ).
fof(f1358,plain,
( e3 != e3
| ~ sP54 ),
inference(forward_demodulation,[],[f323,f170]) ).
fof(f323,plain,
( ~ sP54
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e3 != op(e1,e2)
& e3 != op(e0,e2)
& e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1306,plain,
( ~ spl80_102
| spl80_103
| ~ spl80_104 ),
inference(avatar_split_clause,[],[f432,f1303,f1299,f1295]) ).
fof(f432,plain,
( ~ sP32
| e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ( e4 = op(e0,op(e0,e4))
| e0 != op(e4,op(e0,e4)) )
& ( e2 != op(e4,op(e2,e4))
| e4 = op(e2,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) )
& ( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4)) )
& ( e4 != op(e4,op(e4,e4))
| e4 = op(e4,op(e4,e4)) ) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1229,plain,
( ~ spl80_86
| ~ spl80_87 ),
inference(avatar_split_clause,[],[f267,f1226,f1222]) ).
fof(f267,plain,
( e2 != op(e4,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e4 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e0 != op(e4,e3)
& e1 != op(e4,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f1205,plain,
spl80_65,
inference(avatar_split_clause,[],[f191,f1121]) ).
fof(f191,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1204,plain,
spl80_33,
inference(avatar_split_clause,[],[f611,f975]) ).
fof(f611,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f187,f193]) ).
fof(f187,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1143,plain,
( ~ spl80_69
| ~ spl80_20 ),
inference(avatar_split_clause,[],[f327,f916,f1140]) ).
fof(f327,plain,
( e4 != op(e1,e1)
| ~ sP53 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e0 != op(e1,e1)
& e4 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1124,plain,
( ~ spl80_27
| ~ spl80_65 ),
inference(avatar_split_clause,[],[f229,f1121,f948]) ).
fof(f229,plain,
( e2 != op(e1,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1110,plain,
( ~ spl80_62
| ~ spl80_50 ),
inference(avatar_split_clause,[],[f657,f1052,f1107]) ).
fof(f657,plain,
( ~ sP64
| op(e1,e3) != unit ),
inference(definition_unfolding,[],[f271,f193]) ).
fof(f271,plain,
( e0 != op(e1,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1019,plain,
spl80_9,
inference(avatar_split_clause,[],[f172,f866]) ).
fof(f172,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1018,plain,
( ~ spl80_41
| ~ spl80_42 ),
inference(avatar_split_clause,[],[f713,f1015,f1011]) ).
fof(f713,plain,
( ~ sP38
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f401,f193,f193,f193]) ).
fof(f401,plain,
( e0 != op(e0,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e4 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f978,plain,
( ~ spl80_14
| ~ spl80_33 ),
inference(avatar_split_clause,[],[f779,f975,f889]) ).
fof(f779,plain,
( e4 != op(e4,unit)
| ~ sP16 ),
inference(definition_unfolding,[],[f511,f193]) ).
fof(f511,plain,
( e4 != op(e4,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 != op(e3,e0)
& e4 != op(e1,e0)
& e4 != op(e4,e0)
& e4 != op(e0,e0)
& e4 != op(e2,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f973,plain,
( ~ spl80_31
| ~ spl80_32 ),
inference(avatar_split_clause,[],[f376,f970,f966]) ).
fof(f376,plain,
( ~ sP43
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e1 != op(e1,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e4,e3)
& e1 != op(e0,e3) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f919,plain,
( ~ spl80_19
| ~ spl80_20 ),
inference(avatar_split_clause,[],[f473,f916,f912]) ).
fof(f473,plain,
( e4 != op(e1,e1)
| ~ sP24 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e4)
& e4 != op(e1,e0)
& e4 != op(e1,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f910,plain,
( ~ spl80_17
| ~ spl80_18 ),
inference(avatar_split_clause,[],[f793,f907,f903]) ).
fof(f793,plain,
( ~ sP8
| op(e3,e2) != unit ),
inference(definition_unfolding,[],[f551,f193]) ).
fof(f551,plain,
( e0 != op(e3,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e4 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f869,plain,
( ~ spl80_6
| ~ spl80_9 ),
inference(avatar_split_clause,[],[f526,f866,f852]) ).
fof(f526,plain,
( e3 != op(e4,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e3 != op(e1,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1)
& e3 != op(e0,e1)
& e3 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG092+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_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 15:15:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 % (28648)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.44 % (28638)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.46 % (28643)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.46 % (28639)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.47 % (28655)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.47 % (28646)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.48 % (28665)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.48 % (28656)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.49 % (28646)Instruction limit reached!
% 0.17/0.49 % (28646)------------------------------
% 0.17/0.49 % (28646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (28646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (28646)Termination reason: Unknown
% 0.17/0.49 % (28646)Termination phase: Naming
% 0.17/0.49
% 0.17/0.49 % (28646)Memory used [KB]: 1023
% 0.17/0.49 % (28646)Time elapsed: 0.004 s
% 0.17/0.49 % (28646)Instructions burned: 4 (million)
% 0.17/0.49 % (28646)------------------------------
% 0.17/0.49 % (28646)------------------------------
% 0.17/0.49 % (28650)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.49 % (28648)First to succeed.
% 0.17/0.49 % (28641)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (28653)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (28670)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.50 % (28642)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51 % (28663)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.51 TRYING [5]
% 0.17/0.51 % (28659)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.51 % (28640)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.51 % (28667)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.51 % (28649)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.51 % (28637)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.52 % (28658)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.52 % (28644)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (28639)Instruction limit reached!
% 0.17/0.52 % (28639)------------------------------
% 0.17/0.52 % (28639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (28639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (28639)Termination reason: Unknown
% 0.17/0.52 % (28639)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (28639)Memory used [KB]: 1663
% 0.17/0.52 % (28639)Time elapsed: 0.150 s
% 0.17/0.52 % (28639)Instructions burned: 37 (million)
% 0.17/0.52 % (28639)------------------------------
% 0.17/0.52 % (28639)------------------------------
% 0.17/0.52 % (28644)Instruction limit reached!
% 0.17/0.52 % (28644)------------------------------
% 0.17/0.52 % (28644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (28644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (28644)Termination reason: Unknown
% 0.17/0.52 % (28644)Termination phase: Property scanning
% 0.17/0.52
% 0.17/0.52 % (28644)Memory used [KB]: 1151
% 0.17/0.52 % (28644)Time elapsed: 0.004 s
% 0.17/0.52 % (28644)Instructions burned: 7 (million)
% 0.17/0.52 % (28644)------------------------------
% 0.17/0.52 % (28644)------------------------------
% 0.17/0.52 % (28662)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.52 % (28654)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52 % (28652)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.52 % (28638)Also succeeded, but the first one will report.
% 0.17/0.52 % (28648)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Theorem for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (28648)------------------------------
% 0.17/0.53 % (28648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (28648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (28648)Termination reason: Refutation
% 0.17/0.53
% 0.17/0.53 % (28648)Memory used [KB]: 7164
% 0.17/0.53 % (28648)Time elapsed: 0.130 s
% 0.17/0.53 % (28648)Instructions burned: 33 (million)
% 0.17/0.53 % (28648)------------------------------
% 0.17/0.53 % (28648)------------------------------
% 0.17/0.53 % (28629)Success in time 0.188 s
%------------------------------------------------------------------------------