TSTP Solution File: ALG186+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG186+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Sun May 5 04:27:10 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 264
% Syntax : Number of formulae : 902 ( 71 unt; 0 def)
% Number of atoms : 4197 (2613 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 5776 (2481 ~;1925 |;1185 &)
% ( 185 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 263 ( 261 usr; 262 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1833,plain,
$false,
inference(avatar_sat_refutation,[],[f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f763,f773,f783,f793,f799,f808,f818,f828,f838,f848,f854,f863,f873,f883,f893,f899,f908,f918,f928,f938,f948,f958,f968,f978,f988,f998,f1004,f1009,f1018,f1028,f1038,f1048,f1058,f1064,f1073,f1083,f1093,f1103,f1109,f1118,f1124,f1129,f1134,f1143,f1149,f1158,f1164,f1173,f1179,f1188,f1198,f1208,f1214,f1219,f1228,f1234,f1243,f1253,f1259,f1264,f1273,f1283,f1293,f1299,f1308,f1318,f1328,f1338,f1344,f1349,f1354,f1359,f1364,f1369,f1374,f1475,f1521,f1523,f1526,f1529,f1532,f1535,f1538,f1540,f1543,f1546,f1549,f1552,f1555,f1557,f1560,f1563,f1566,f1569,f1572,f1574,f1577,f1580,f1583,f1586,f1589,f1593,f1598,f1603,f1609,f1615,f1618,f1621,f1625,f1631,f1635,f1638,f1644,f1647,f1650,f1653,f1659,f1664,f1669,f1672,f1676,f1680,f1683,f1686,f1689,f1692,f1696,f1702,f1707,f1712,f1716,f1719,f1724,f1730,f1735,f1739,f1742,f1745,f1748,f1753,f1759,f1763,f1768,f1771,f1777,f1781,f1786,f1791,f1795,f1798,f1804,f1821,f1828,f1832]) ).
fof(f1832,plain,
( ~ spl76_37
| ~ spl76_33 ),
inference(avatar_split_clause,[],[f1831,f736,f756]) ).
fof(f756,plain,
( spl76_37
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_37])]) ).
fof(f736,plain,
( spl76_33
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_33])]) ).
fof(f1831,plain,
( ~ sP74
| ~ spl76_33 ),
inference(trivial_inequality_removal,[],[f1830]) ).
fof(f1830,plain,
( e4 != e4
| ~ sP74
| ~ spl76_33 ),
inference(forward_demodulation,[],[f166,f738]) ).
fof(f738,plain,
( e4 = op(e4,e2)
| ~ spl76_33 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f166,plain,
( e4 != op(e4,e2)
| ~ sP74 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP74 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f1828,plain,
( ~ spl76_160
| spl76_4
| spl76_6
| spl76_8
| spl76_7
| spl76_2
| ~ spl76_12
| ~ spl76_17
| ~ spl76_22
| ~ spl76_27
| ~ spl76_32 ),
inference(avatar_split_clause,[],[f1809,f731,f706,f681,f656,f631,f581,f606,f611,f601,f591,f1371]) ).
fof(f1371,plain,
( spl76_160
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_160])]) ).
fof(f591,plain,
( spl76_4
<=> e0 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_4])]) ).
fof(f601,plain,
( spl76_6
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_6])]) ).
fof(f611,plain,
( spl76_8
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_8])]) ).
fof(f606,plain,
( spl76_7
<=> e1 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_7])]) ).
fof(f581,plain,
( spl76_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_2])]) ).
fof(f631,plain,
( spl76_12
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_12])]) ).
fof(f656,plain,
( spl76_17
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_17])]) ).
fof(f681,plain,
( spl76_22
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_22])]) ).
fof(f706,plain,
( spl76_27
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_27])]) ).
fof(f731,plain,
( spl76_32
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_32])]) ).
fof(f1809,plain,
( e0 = e2
| e1 = e4
| e2 = e3
| e1 = e3
| e0 = e4
| ~ sP0
| ~ spl76_12
| ~ spl76_17
| ~ spl76_22
| ~ spl76_27
| ~ spl76_32 ),
inference(forward_demodulation,[],[f1808,f633]) ).
fof(f633,plain,
( e2 = op(e0,e1)
| ~ spl76_12 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1808,plain,
( e1 = e4
| e2 = e3
| e1 = e3
| e0 = e4
| e0 = op(e0,e1)
| ~ sP0
| ~ spl76_17
| ~ spl76_22
| ~ spl76_27
| ~ spl76_32 ),
inference(forward_demodulation,[],[f1807,f658]) ).
fof(f658,plain,
( e4 = op(e1,e1)
| ~ spl76_17 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f1807,plain,
( e2 = e3
| e1 = e3
| e0 = e4
| e1 = op(e1,e1)
| e0 = op(e0,e1)
| ~ sP0
| ~ spl76_22
| ~ spl76_27
| ~ spl76_32 ),
inference(forward_demodulation,[],[f1806,f683]) ).
fof(f683,plain,
( e3 = op(e2,e1)
| ~ spl76_22 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f1806,plain,
( e1 = e3
| e0 = e4
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1)
| ~ sP0
| ~ spl76_27
| ~ spl76_32 ),
inference(forward_demodulation,[],[f1805,f708]) ).
fof(f708,plain,
( e1 = op(e3,e1)
| ~ spl76_27 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1805,plain,
( e0 = e4
| e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1)
| ~ sP0
| ~ spl76_32 ),
inference(forward_demodulation,[],[f535,f733]) ).
fof(f733,plain,
( e0 = op(e4,e1)
| ~ spl76_32 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f535,plain,
( e4 = op(e4,e1)
| e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ( e4 = op(e4,e4)
| e3 = op(e3,e4)
| e2 = op(e2,e4)
| e1 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( ( e4 = op(e4,e4)
| e3 = op(e3,e4)
| e2 = op(e2,e4)
| e1 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1821,plain,
( spl76_9
| ~ spl76_31
| ~ spl76_38 ),
inference(avatar_split_clause,[],[f1820,f760,f726,f616]) ).
fof(f616,plain,
( spl76_9
<=> e2 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_9])]) ).
fof(f726,plain,
( spl76_31
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_31])]) ).
fof(f760,plain,
( spl76_38
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_38])]) ).
fof(f1820,plain,
( e2 = e4
| ~ spl76_31
| ~ spl76_38 ),
inference(forward_demodulation,[],[f761,f728]) ).
fof(f728,plain,
( e2 = op(e4,e0)
| ~ spl76_31 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f761,plain,
( e4 = op(e4,e0)
| ~ spl76_38 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f1804,plain,
( ~ spl76_152
| ~ spl76_17 ),
inference(avatar_split_clause,[],[f1803,f656,f1331]) ).
fof(f1331,plain,
( spl76_152
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_152])]) ).
fof(f1803,plain,
( ~ sP7
| ~ spl76_17 ),
inference(trivial_inequality_removal,[],[f1802]) ).
fof(f1802,plain,
( e4 != e4
| ~ sP7
| ~ spl76_17 ),
inference(forward_demodulation,[],[f503,f658]) ).
fof(f503,plain,
( e4 != op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1798,plain,
( ~ spl76_150
| ~ spl76_18 ),
inference(avatar_split_clause,[],[f1797,f661,f1321]) ).
fof(f1321,plain,
( spl76_150
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_150])]) ).
fof(f661,plain,
( spl76_18
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_18])]) ).
fof(f1797,plain,
( ~ sP8
| ~ spl76_18 ),
inference(trivial_inequality_removal,[],[f1796]) ).
fof(f1796,plain,
( e1 != e1
| ~ sP8
| ~ spl76_18 ),
inference(forward_demodulation,[],[f495,f663]) ).
fof(f663,plain,
( e1 = op(e1,e2)
| ~ spl76_18 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f495,plain,
( e1 != op(e1,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1795,plain,
( ~ spl76_148
| ~ spl76_19 ),
inference(avatar_split_clause,[],[f1794,f666,f1311]) ).
fof(f1311,plain,
( spl76_148
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_148])]) ).
fof(f666,plain,
( spl76_19
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_19])]) ).
fof(f1794,plain,
( ~ sP9
| ~ spl76_19 ),
inference(trivial_inequality_removal,[],[f1793]) ).
fof(f1793,plain,
( e2 != e2
| ~ sP9
| ~ spl76_19 ),
inference(forward_demodulation,[],[f491,f668]) ).
fof(f668,plain,
( e2 = op(e1,e3)
| ~ spl76_19 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f491,plain,
( e2 != op(e1,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1791,plain,
( ~ spl76_146
| ~ spl76_20 ),
inference(avatar_split_clause,[],[f1790,f671,f1301]) ).
fof(f1301,plain,
( spl76_146
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_146])]) ).
fof(f671,plain,
( spl76_20
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_20])]) ).
fof(f1790,plain,
( ~ sP10
| ~ spl76_20 ),
inference(trivial_inequality_removal,[],[f1789]) ).
fof(f1789,plain,
( e3 != e3
| ~ sP10
| ~ spl76_20 ),
inference(forward_demodulation,[],[f487,f673]) ).
fof(f673,plain,
( e3 = op(e1,e4)
| ~ spl76_20 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f487,plain,
( e3 != op(e1,e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1786,plain,
( ~ spl76_143
| ~ spl76_22 ),
inference(avatar_split_clause,[],[f1785,f681,f1286]) ).
fof(f1286,plain,
( spl76_143
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_143])]) ).
fof(f1785,plain,
( ~ sP12
| ~ spl76_22 ),
inference(trivial_inequality_removal,[],[f1784]) ).
fof(f1784,plain,
( e3 != e3
| ~ sP12
| ~ spl76_22 ),
inference(forward_demodulation,[],[f477,f683]) ).
fof(f477,plain,
( e3 != op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1781,plain,
( ~ spl76_141
| ~ spl76_23 ),
inference(avatar_split_clause,[],[f1780,f686,f1276]) ).
fof(f1276,plain,
( spl76_141
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_141])]) ).
fof(f686,plain,
( spl76_23
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_23])]) ).
fof(f1780,plain,
( ~ sP13
| ~ spl76_23 ),
inference(trivial_inequality_removal,[],[f1779]) ).
fof(f1779,plain,
( e2 != e2
| ~ sP13
| ~ spl76_23 ),
inference(forward_demodulation,[],[f471,f688]) ).
fof(f688,plain,
( e2 = op(e2,e2)
| ~ spl76_23 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f471,plain,
( e2 != op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1777,plain,
( ~ spl76_139
| ~ spl76_24 ),
inference(avatar_split_clause,[],[f1776,f691,f1266]) ).
fof(f1266,plain,
( spl76_139
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_139])]) ).
fof(f691,plain,
( spl76_24
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_24])]) ).
fof(f1776,plain,
( ~ sP14
| ~ spl76_24 ),
inference(trivial_inequality_removal,[],[f1775]) ).
fof(f1775,plain,
( e4 != e4
| ~ sP14
| ~ spl76_24 ),
inference(forward_demodulation,[],[f468,f693]) ).
fof(f693,plain,
( e4 = op(e2,e3)
| ~ spl76_24 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f468,plain,
( e4 != op(e2,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1771,plain,
( ~ spl76_135
| ~ spl76_27 ),
inference(avatar_split_clause,[],[f1770,f706,f1246]) ).
fof(f1246,plain,
( spl76_135
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_135])]) ).
fof(f1770,plain,
( ~ sP17
| ~ spl76_27 ),
inference(trivial_inequality_removal,[],[f1769]) ).
fof(f1769,plain,
( e1 != e1
| ~ sP17
| ~ spl76_27 ),
inference(forward_demodulation,[],[f450,f708]) ).
fof(f450,plain,
( e1 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1768,plain,
( ~ spl76_133
| ~ spl76_28 ),
inference(avatar_split_clause,[],[f1767,f711,f1236]) ).
fof(f1236,plain,
( spl76_133
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_133])]) ).
fof(f711,plain,
( spl76_28
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_28])]) ).
fof(f1767,plain,
( ~ sP18
| ~ spl76_28 ),
inference(trivial_inequality_removal,[],[f1766]) ).
fof(f1766,plain,
( e3 != e3
| ~ sP18
| ~ spl76_28 ),
inference(forward_demodulation,[],[f447,f713]) ).
fof(f713,plain,
( e3 = op(e3,e2)
| ~ spl76_28 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f447,plain,
( e3 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1763,plain,
( ~ spl76_130
| ~ spl76_30 ),
inference(avatar_split_clause,[],[f1762,f721,f1221]) ).
fof(f1221,plain,
( spl76_130
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_130])]) ).
fof(f721,plain,
( spl76_30
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_30])]) ).
fof(f1762,plain,
( ~ sP20
| ~ spl76_30 ),
inference(trivial_inequality_removal,[],[f1761]) ).
fof(f1761,plain,
( e2 != e2
| ~ sP20
| ~ spl76_30 ),
inference(forward_demodulation,[],[f436,f723]) ).
fof(f723,plain,
( e2 = op(e3,e4)
| ~ spl76_30 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f436,plain,
( e2 != op(e3,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1759,plain,
( ~ spl76_126
| ~ spl76_33 ),
inference(avatar_split_clause,[],[f1758,f736,f1201]) ).
fof(f1201,plain,
( spl76_126
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_126])]) ).
fof(f1758,plain,
( ~ sP23
| ~ spl76_33 ),
inference(trivial_inequality_removal,[],[f1757]) ).
fof(f1757,plain,
( e4 != e4
| ~ sP23
| ~ spl76_33 ),
inference(forward_demodulation,[],[f423,f738]) ).
fof(f423,plain,
( e4 != op(e4,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1753,plain,
( ~ spl76_124
| ~ spl76_34 ),
inference(avatar_split_clause,[],[f1752,f741,f1191]) ).
fof(f1191,plain,
( spl76_124
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_124])]) ).
fof(f741,plain,
( spl76_34
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_34])]) ).
fof(f1752,plain,
( ~ sP24
| ~ spl76_34 ),
inference(trivial_inequality_removal,[],[f1751]) ).
fof(f1751,plain,
( e3 != e3
| ~ sP24
| ~ spl76_34 ),
inference(forward_demodulation,[],[f417,f743]) ).
fof(f743,plain,
( e3 = op(e4,e3)
| ~ spl76_34 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f417,plain,
( e3 != op(e4,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1748,plain,
( ~ spl76_122
| ~ spl76_35 ),
inference(avatar_split_clause,[],[f1747,f746,f1181]) ).
fof(f1181,plain,
( spl76_122
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_122])]) ).
fof(f746,plain,
( spl76_35
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_35])]) ).
fof(f1747,plain,
( ~ sP25
| ~ spl76_35 ),
inference(trivial_inequality_removal,[],[f1746]) ).
fof(f1746,plain,
( e1 != e1
| ~ sP25
| ~ spl76_35 ),
inference(forward_demodulation,[],[f410,f748]) ).
fof(f748,plain,
( e1 = op(e4,e4)
| ~ spl76_35 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f410,plain,
( e1 != op(e4,e4)
| ~ sP25 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f1745,plain,
( ~ spl76_119
| ~ spl76_16 ),
inference(avatar_split_clause,[],[f1744,f651,f1166]) ).
fof(f1166,plain,
( spl76_119
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_119])]) ).
fof(f651,plain,
( spl76_16
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_16])]) ).
fof(f1744,plain,
( ~ sP27
| ~ spl76_16 ),
inference(trivial_inequality_removal,[],[f1743]) ).
fof(f1743,plain,
( e0 != e0
| ~ sP27
| ~ spl76_16 ),
inference(forward_demodulation,[],[f400,f653]) ).
fof(f653,plain,
( e0 = op(e1,e0)
| ~ spl76_16 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f400,plain,
( e0 != op(e1,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1742,plain,
( ~ spl76_118
| ~ spl76_14 ),
inference(avatar_split_clause,[],[f1741,f641,f1161]) ).
fof(f1161,plain,
( spl76_118
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_118])]) ).
fof(f641,plain,
( spl76_14
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_14])]) ).
fof(f1741,plain,
( ~ sP28
| ~ spl76_14 ),
inference(trivial_inequality_removal,[],[f1740]) ).
fof(f1740,plain,
( e1 != e1
| ~ sP28
| ~ spl76_14 ),
inference(forward_demodulation,[],[f397,f643]) ).
fof(f643,plain,
( e1 = op(e0,e3)
| ~ spl76_14 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f397,plain,
( e1 != op(e0,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1739,plain,
( ~ spl76_116
| ~ spl76_21 ),
inference(avatar_split_clause,[],[f1738,f676,f1151]) ).
fof(f1151,plain,
( spl76_116
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_116])]) ).
fof(f676,plain,
( spl76_21
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_21])]) ).
fof(f1738,plain,
( ~ sP29
| ~ spl76_21 ),
inference(trivial_inequality_removal,[],[f1737]) ).
fof(f1737,plain,
( e1 != e1
| ~ sP29
| ~ spl76_21 ),
inference(forward_demodulation,[],[f391,f678]) ).
fof(f678,plain,
( e1 = op(e2,e0)
| ~ spl76_21 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f391,plain,
( e1 != op(e2,e0)
| ~ sP29 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1735,plain,
( ~ spl76_113
| ~ spl76_31 ),
inference(avatar_split_clause,[],[f1734,f726,f1136]) ).
fof(f1136,plain,
( spl76_113
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_113])]) ).
fof(f1734,plain,
( ~ sP31
| ~ spl76_31 ),
inference(trivial_inequality_removal,[],[f1733]) ).
fof(f1733,plain,
( e2 != e2
| ~ sP31
| ~ spl76_31 ),
inference(forward_demodulation,[],[f383,f728]) ).
fof(f383,plain,
( e2 != op(e4,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1730,plain,
( ~ spl76_110
| ~ spl76_15 ),
inference(avatar_split_clause,[],[f1729,f646,f1121]) ).
fof(f1121,plain,
( spl76_110
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_110])]) ).
fof(f646,plain,
( spl76_15
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_15])]) ).
fof(f1729,plain,
( ~ sP34
| ~ spl76_15 ),
inference(trivial_inequality_removal,[],[f1728]) ).
fof(f1728,plain,
( e4 != e4
| ~ sP34
| ~ spl76_15 ),
inference(forward_demodulation,[],[f368,f648]) ).
fof(f648,plain,
( e4 = op(e0,e4)
| ~ spl76_15 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f368,plain,
( e4 != op(e0,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1724,plain,
( ~ spl76_108
| ~ spl76_26 ),
inference(avatar_split_clause,[],[f1723,f701,f1111]) ).
fof(f1111,plain,
( spl76_108
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_108])]) ).
fof(f701,plain,
( spl76_26
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_26])]) ).
fof(f1723,plain,
( ~ sP35
| ~ spl76_26 ),
inference(trivial_inequality_removal,[],[f1722]) ).
fof(f1722,plain,
( e4 != e4
| ~ sP35
| ~ spl76_26 ),
inference(forward_demodulation,[],[f362,f703]) ).
fof(f703,plain,
( e4 = op(e3,e0)
| ~ spl76_26 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f362,plain,
( e4 != op(e3,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1719,plain,
( ~ spl76_105
| ~ spl76_32 ),
inference(avatar_split_clause,[],[f1718,f731,f1096]) ).
fof(f1096,plain,
( spl76_105
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_105])]) ).
fof(f1718,plain,
( ~ sP37
| ~ spl76_32 ),
inference(trivial_inequality_removal,[],[f1717]) ).
fof(f1717,plain,
( e0 != e0
| ~ sP37
| ~ spl76_32 ),
inference(forward_demodulation,[],[f353,f733]) ).
fof(f353,plain,
( e0 != op(e4,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP37 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1716,plain,
( ~ spl76_103
| ~ spl76_18 ),
inference(avatar_split_clause,[],[f1715,f661,f1086]) ).
fof(f1086,plain,
( spl76_103
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_103])]) ).
fof(f1715,plain,
( ~ sP38
| ~ spl76_18 ),
inference(trivial_inequality_removal,[],[f1714]) ).
fof(f1714,plain,
( e1 != e1
| ~ sP38
| ~ spl76_18 ),
inference(forward_demodulation,[],[f346,f663]) ).
fof(f346,plain,
( e1 != op(e1,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1712,plain,
( ~ spl76_101
| ~ spl76_27 ),
inference(avatar_split_clause,[],[f1711,f706,f1076]) ).
fof(f1076,plain,
( spl76_101
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_101])]) ).
fof(f1711,plain,
( ~ sP39
| ~ spl76_27 ),
inference(trivial_inequality_removal,[],[f1710]) ).
fof(f1710,plain,
( e1 != e1
| ~ sP39
| ~ spl76_27 ),
inference(forward_demodulation,[],[f342,f708]) ).
fof(f342,plain,
( e1 != op(e3,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f1707,plain,
( ~ spl76_99
| ~ spl76_19 ),
inference(avatar_split_clause,[],[f1706,f666,f1066]) ).
fof(f1066,plain,
( spl76_99
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_99])]) ).
fof(f1706,plain,
( ~ sP40
| ~ spl76_19 ),
inference(trivial_inequality_removal,[],[f1705]) ).
fof(f1705,plain,
( e2 != e2
| ~ sP40
| ~ spl76_19 ),
inference(forward_demodulation,[],[f337,f668]) ).
fof(f337,plain,
( e2 != op(e1,e3)
| ~ sP40 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f1702,plain,
( ~ spl76_96
| ~ spl76_20 ),
inference(avatar_split_clause,[],[f1701,f671,f1051]) ).
fof(f1051,plain,
( spl76_96
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_96])]) ).
fof(f1701,plain,
( ~ sP42
| ~ spl76_20 ),
inference(trivial_inequality_removal,[],[f1700]) ).
fof(f1700,plain,
( e3 != e3
| ~ sP42
| ~ spl76_20 ),
inference(forward_demodulation,[],[f328,f673]) ).
fof(f328,plain,
( e3 != op(e1,e4)
| ~ sP42 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f1696,plain,
( ~ spl76_94
| ~ spl76_22 ),
inference(avatar_split_clause,[],[f1695,f681,f1041]) ).
fof(f1041,plain,
( spl76_94
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_94])]) ).
fof(f1695,plain,
( ~ sP43
| ~ spl76_22 ),
inference(trivial_inequality_removal,[],[f1694]) ).
fof(f1694,plain,
( e3 != e3
| ~ sP43
| ~ spl76_22 ),
inference(forward_demodulation,[],[f321,f683]) ).
fof(f321,plain,
( e3 != op(e2,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f1692,plain,
( ~ spl76_92
| ~ spl76_17 ),
inference(avatar_split_clause,[],[f1691,f656,f1031]) ).
fof(f1031,plain,
( spl76_92
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_92])]) ).
fof(f1691,plain,
( ~ sP44
| ~ spl76_17 ),
inference(trivial_inequality_removal,[],[f1690]) ).
fof(f1690,plain,
( e4 != e4
| ~ sP44
| ~ spl76_17 ),
inference(forward_demodulation,[],[f315,f658]) ).
fof(f315,plain,
( e4 != op(e1,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f1689,plain,
( ~ spl76_90
| ~ spl76_17 ),
inference(avatar_split_clause,[],[f1688,f656,f1021]) ).
fof(f1021,plain,
( spl76_90
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_90])]) ).
fof(f1688,plain,
( ~ sP45
| ~ spl76_17 ),
inference(trivial_inequality_removal,[],[f1687]) ).
fof(f1687,plain,
( e4 != e4
| ~ sP45
| ~ spl76_17 ),
inference(forward_demodulation,[],[f310,f658]) ).
fof(f310,plain,
( e4 != op(e1,e1)
| ~ sP45 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP45 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f1686,plain,
( ~ spl76_88
| ~ spl76_25 ),
inference(avatar_split_clause,[],[f1685,f696,f1011]) ).
fof(f1011,plain,
( spl76_88
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_88])]) ).
fof(f696,plain,
( spl76_25
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_25])]) ).
fof(f1685,plain,
( ~ sP46
| ~ spl76_25 ),
inference(trivial_inequality_removal,[],[f1684]) ).
fof(f1684,plain,
( e0 != e0
| ~ sP46
| ~ spl76_25 ),
inference(forward_demodulation,[],[f308,f698]) ).
fof(f698,plain,
( e0 = op(e2,e4)
| ~ spl76_25 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f308,plain,
( e0 != op(e2,e4)
| ~ sP46 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP46 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f1683,plain,
( ~ spl76_84
| ~ spl76_18 ),
inference(avatar_split_clause,[],[f1682,f661,f991]) ).
fof(f991,plain,
( spl76_84
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_84])]) ).
fof(f1682,plain,
( ~ sP49
| ~ spl76_18 ),
inference(trivial_inequality_removal,[],[f1681]) ).
fof(f1681,plain,
( e1 != e1
| ~ sP49
| ~ spl76_18 ),
inference(forward_demodulation,[],[f290,f663]) ).
fof(f290,plain,
( e1 != op(e1,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f1680,plain,
( ~ spl76_82
| ~ spl76_23 ),
inference(avatar_split_clause,[],[f1679,f686,f981]) ).
fof(f981,plain,
( spl76_82
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_82])]) ).
fof(f1679,plain,
( ~ sP50
| ~ spl76_23 ),
inference(trivial_inequality_removal,[],[f1678]) ).
fof(f1678,plain,
( e2 != e2
| ~ sP50
| ~ spl76_23 ),
inference(forward_demodulation,[],[f286,f688]) ).
fof(f286,plain,
( e2 != op(e2,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP50 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f1676,plain,
( ~ spl76_80
| ~ spl76_23 ),
inference(avatar_split_clause,[],[f1675,f686,f971]) ).
fof(f971,plain,
( spl76_80
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_80])]) ).
fof(f1675,plain,
( ~ sP51
| ~ spl76_23 ),
inference(trivial_inequality_removal,[],[f1674]) ).
fof(f1674,plain,
( e2 != e2
| ~ sP51
| ~ spl76_23 ),
inference(forward_demodulation,[],[f281,f688]) ).
fof(f281,plain,
( e2 != op(e2,e2)
| ~ sP51 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP51 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1672,plain,
( ~ spl76_78
| ~ spl76_22 ),
inference(avatar_split_clause,[],[f1671,f681,f961]) ).
fof(f961,plain,
( spl76_78
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_78])]) ).
fof(f1671,plain,
( ~ sP52
| ~ spl76_22 ),
inference(trivial_inequality_removal,[],[f1670]) ).
fof(f1670,plain,
( e3 != e3
| ~ sP52
| ~ spl76_22 ),
inference(forward_demodulation,[],[f275,f683]) ).
fof(f275,plain,
( e3 != op(e2,e1)
| ~ sP52 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP52 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f1669,plain,
( ~ spl76_76
| ~ spl76_28 ),
inference(avatar_split_clause,[],[f1668,f711,f951]) ).
fof(f951,plain,
( spl76_76
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_76])]) ).
fof(f1668,plain,
( ~ sP53
| ~ spl76_28 ),
inference(trivial_inequality_removal,[],[f1667]) ).
fof(f1667,plain,
( e3 != e3
| ~ sP53
| ~ spl76_28 ),
inference(forward_demodulation,[],[f272,f713]) ).
fof(f272,plain,
( e3 != op(e3,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP53 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f1664,plain,
( ~ spl76_74
| ~ spl76_24 ),
inference(avatar_split_clause,[],[f1663,f691,f941]) ).
fof(f941,plain,
( spl76_74
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_74])]) ).
fof(f1663,plain,
( ~ sP54
| ~ spl76_24 ),
inference(trivial_inequality_removal,[],[f1662]) ).
fof(f1662,plain,
( e4 != e4
| ~ sP54
| ~ spl76_24 ),
inference(forward_demodulation,[],[f267,f693]) ).
fof(f267,plain,
( e4 != op(e2,e3)
| ~ sP54 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP54 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f1659,plain,
( ~ spl76_72
| ~ spl76_33 ),
inference(avatar_split_clause,[],[f1658,f736,f931]) ).
fof(f931,plain,
( spl76_72
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_72])]) ).
fof(f1658,plain,
( ~ sP55
| ~ spl76_33 ),
inference(trivial_inequality_removal,[],[f1657]) ).
fof(f1657,plain,
( e4 != e4
| ~ sP55
| ~ spl76_33 ),
inference(forward_demodulation,[],[f263,f738]) ).
fof(f263,plain,
( e4 != op(e4,e2)
| ~ sP55 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP55 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f1653,plain,
( ~ spl76_70
| ~ spl76_29 ),
inference(avatar_split_clause,[],[f1652,f716,f921]) ).
fof(f921,plain,
( spl76_70
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_70])]) ).
fof(f716,plain,
( spl76_29
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_29])]) ).
fof(f1652,plain,
( ~ sP56
| ~ spl76_29 ),
inference(trivial_inequality_removal,[],[f1651]) ).
fof(f1651,plain,
( e0 != e0
| ~ sP56
| ~ spl76_29 ),
inference(forward_demodulation,[],[f257,f718]) ).
fof(f718,plain,
( e0 = op(e3,e3)
| ~ spl76_29 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f257,plain,
( e0 != op(e3,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP56 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f1650,plain,
( ~ spl76_68
| ~ spl76_29 ),
inference(avatar_split_clause,[],[f1649,f716,f911]) ).
fof(f911,plain,
( spl76_68
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_68])]) ).
fof(f1649,plain,
( ~ sP57
| ~ spl76_29 ),
inference(trivial_inequality_removal,[],[f1648]) ).
fof(f1648,plain,
( e0 != e0
| ~ sP57
| ~ spl76_29 ),
inference(forward_demodulation,[],[f252,f718]) ).
fof(f252,plain,
( e0 != op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f1647,plain,
( ~ spl76_66
| ~ spl76_27 ),
inference(avatar_split_clause,[],[f1646,f706,f901]) ).
fof(f901,plain,
( spl76_66
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_66])]) ).
fof(f1646,plain,
( ~ sP58
| ~ spl76_27 ),
inference(trivial_inequality_removal,[],[f1645]) ).
fof(f1645,plain,
( e1 != e1
| ~ sP58
| ~ spl76_27 ),
inference(forward_demodulation,[],[f245,f708]) ).
fof(f245,plain,
( e1 != op(e3,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP58 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f1644,plain,
( ~ spl76_63
| ~ spl76_30 ),
inference(avatar_split_clause,[],[f1643,f721,f886]) ).
fof(f886,plain,
( spl76_63
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_63])]) ).
fof(f1643,plain,
( ~ sP60
| ~ spl76_30 ),
inference(trivial_inequality_removal,[],[f1642]) ).
fof(f1642,plain,
( e2 != e2
| ~ sP60
| ~ spl76_30 ),
inference(forward_demodulation,[],[f238,f723]) ).
fof(f238,plain,
( e2 != op(e3,e4)
| ~ sP60 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f1638,plain,
( ~ spl76_61
| ~ spl76_19 ),
inference(avatar_split_clause,[],[f1637,f666,f876]) ).
fof(f876,plain,
( spl76_61
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_61])]) ).
fof(f1637,plain,
( ~ sP61
| ~ spl76_19 ),
inference(trivial_inequality_removal,[],[f1636]) ).
fof(f1636,plain,
( e2 != e2
| ~ sP61
| ~ spl76_19 ),
inference(forward_demodulation,[],[f230,f668]) ).
fof(f230,plain,
( e2 != op(e1,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP61 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f1635,plain,
( ~ spl76_59
| ~ spl76_28 ),
inference(avatar_split_clause,[],[f1634,f711,f866]) ).
fof(f866,plain,
( spl76_59
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_59])]) ).
fof(f1634,plain,
( ~ sP62
| ~ spl76_28 ),
inference(trivial_inequality_removal,[],[f1633]) ).
fof(f1633,plain,
( e3 != e3
| ~ sP62
| ~ spl76_28 ),
inference(forward_demodulation,[],[f226,f713]) ).
fof(f226,plain,
( e3 != op(e3,e2)
| ~ sP62 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP62 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f1631,plain,
( ~ spl76_57
| ~ spl76_34 ),
inference(avatar_split_clause,[],[f1630,f741,f856]) ).
fof(f856,plain,
( spl76_57
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_57])]) ).
fof(f1630,plain,
( ~ sP63
| ~ spl76_34 ),
inference(trivial_inequality_removal,[],[f1629]) ).
fof(f1629,plain,
( e3 != e3
| ~ sP63
| ~ spl76_34 ),
inference(forward_demodulation,[],[f223,f743]) ).
fof(f223,plain,
( e3 != op(e4,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP63 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f1625,plain,
( ~ spl76_54
| ~ spl76_24 ),
inference(avatar_split_clause,[],[f1624,f691,f841]) ).
fof(f841,plain,
( spl76_54
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_54])]) ).
fof(f1624,plain,
( ~ sP65
| ~ spl76_24 ),
inference(trivial_inequality_removal,[],[f1623]) ).
fof(f1623,plain,
( e4 != e4
| ~ sP65
| ~ spl76_24 ),
inference(forward_demodulation,[],[f211,f693]) ).
fof(f211,plain,
( e4 != op(e2,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f1621,plain,
( ~ spl76_52
| ~ spl76_32 ),
inference(avatar_split_clause,[],[f1620,f731,f831]) ).
fof(f831,plain,
( spl76_52
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_52])]) ).
fof(f1620,plain,
( ~ sP66
| ~ spl76_32 ),
inference(trivial_inequality_removal,[],[f1619]) ).
fof(f1619,plain,
( e0 != e0
| ~ sP66
| ~ spl76_32 ),
inference(forward_demodulation,[],[f205,f733]) ).
fof(f205,plain,
( e0 != op(e4,e1)
| ~ sP66 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP66 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f1618,plain,
( ~ spl76_50
| ~ spl76_25 ),
inference(avatar_split_clause,[],[f1617,f696,f821]) ).
fof(f821,plain,
( spl76_50
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_50])]) ).
fof(f1617,plain,
( ~ sP67
| ~ spl76_25 ),
inference(trivial_inequality_removal,[],[f1616]) ).
fof(f1616,plain,
( e0 != e0
| ~ sP67
| ~ spl76_25 ),
inference(forward_demodulation,[],[f201,f698]) ).
fof(f201,plain,
( e0 != op(e2,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP67 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f1615,plain,
( ~ spl76_48
| ~ spl76_35 ),
inference(avatar_split_clause,[],[f1614,f746,f811]) ).
fof(f811,plain,
( spl76_48
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_48])]) ).
fof(f1614,plain,
( ~ sP68
| ~ spl76_35 ),
inference(trivial_inequality_removal,[],[f1613]) ).
fof(f1613,plain,
( e1 != e1
| ~ sP68
| ~ spl76_35 ),
inference(forward_demodulation,[],[f198,f748]) ).
fof(f198,plain,
( e1 != op(e4,e4)
| ~ sP68 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP68 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f1609,plain,
( ~ spl76_46
| ~ spl76_35 ),
inference(avatar_split_clause,[],[f1608,f746,f801]) ).
fof(f801,plain,
( spl76_46
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_46])]) ).
fof(f1608,plain,
( ~ sP69
| ~ spl76_35 ),
inference(trivial_inequality_removal,[],[f1607]) ).
fof(f1607,plain,
( e1 != e1
| ~ sP69
| ~ spl76_35 ),
inference(forward_demodulation,[],[f193,f748]) ).
fof(f193,plain,
( e1 != op(e4,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP69 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f1603,plain,
( ~ spl76_43
| ~ spl76_30 ),
inference(avatar_split_clause,[],[f1602,f721,f786]) ).
fof(f786,plain,
( spl76_43
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_43])]) ).
fof(f1602,plain,
( ~ sP71
| ~ spl76_30 ),
inference(trivial_inequality_removal,[],[f1601]) ).
fof(f1601,plain,
( e2 != e2
| ~ sP71
| ~ spl76_30 ),
inference(forward_demodulation,[],[f182,f723]) ).
fof(f182,plain,
( e2 != op(e3,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP71 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f1598,plain,
( ~ spl76_41
| ~ spl76_34 ),
inference(avatar_split_clause,[],[f1597,f741,f776]) ).
fof(f776,plain,
( spl76_41
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_41])]) ).
fof(f1597,plain,
( ~ sP72
| ~ spl76_34 ),
inference(trivial_inequality_removal,[],[f1596]) ).
fof(f1596,plain,
( e3 != e3
| ~ sP72
| ~ spl76_34 ),
inference(forward_demodulation,[],[f177,f743]) ).
fof(f177,plain,
( e3 != op(e4,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP72 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f1593,plain,
( ~ spl76_39
| ~ spl76_20 ),
inference(avatar_split_clause,[],[f1591,f671,f766]) ).
fof(f766,plain,
( spl76_39
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_39])]) ).
fof(f1591,plain,
( ~ sP73
| ~ spl76_20 ),
inference(trivial_inequality_removal,[],[f1590]) ).
fof(f1590,plain,
( e3 != e3
| ~ sP73
| ~ spl76_20 ),
inference(forward_demodulation,[],[f170,f673]) ).
fof(f170,plain,
( e3 != op(e1,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP73 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f1589,plain,
( ~ spl76_29
| ~ spl76_11
| spl76_161 ),
inference(avatar_split_clause,[],[f1520,f1376,f626,f716]) ).
fof(f626,plain,
( spl76_11
<=> e3 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_11])]) ).
fof(f1376,plain,
( spl76_161
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_161])]) ).
fof(f1520,plain,
( e0 != op(e3,e3)
| ~ spl76_11
| spl76_161 ),
inference(forward_demodulation,[],[f1378,f628]) ).
fof(f628,plain,
( e3 = op(e0,e0)
| ~ spl76_11 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1378,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl76_161 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1586,plain,
( ~ spl76_13
| ~ spl76_12
| ~ spl76_16
| spl76_162 ),
inference(avatar_split_clause,[],[f1519,f1380,f651,f631,f636]) ).
fof(f636,plain,
( spl76_13
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_13])]) ).
fof(f1380,plain,
( spl76_162
<=> e0 = op(op(e1,e0),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_162])]) ).
fof(f1519,plain,
( e0 != op(e0,e2)
| ~ spl76_12
| ~ spl76_16
| spl76_162 ),
inference(forward_demodulation,[],[f1518,f653]) ).
fof(f1518,plain,
( e0 != op(op(e1,e0),e2)
| ~ spl76_12
| spl76_162 ),
inference(forward_demodulation,[],[f1382,f633]) ).
fof(f1382,plain,
( e0 != op(op(e1,e0),op(e0,e1))
| spl76_162 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1583,plain,
( ~ spl76_16
| ~ spl76_13
| ~ spl76_21
| spl76_163 ),
inference(avatar_split_clause,[],[f1517,f1384,f676,f636,f651]) ).
fof(f1384,plain,
( spl76_163
<=> e0 = op(op(e2,e0),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_163])]) ).
fof(f1517,plain,
( e0 != op(e1,e0)
| ~ spl76_13
| ~ spl76_21
| spl76_163 ),
inference(forward_demodulation,[],[f1516,f678]) ).
fof(f1516,plain,
( e0 != op(op(e2,e0),e0)
| ~ spl76_13
| spl76_163 ),
inference(forward_demodulation,[],[f1386,f638]) ).
fof(f638,plain,
( e0 = op(e0,e2)
| ~ spl76_13 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f1386,plain,
( e0 != op(op(e2,e0),op(e0,e2))
| spl76_163 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1580,plain,
( ~ spl76_32
| ~ spl76_14
| ~ spl76_26
| spl76_164 ),
inference(avatar_split_clause,[],[f1515,f1388,f701,f641,f731]) ).
fof(f1388,plain,
( spl76_164
<=> e0 = op(op(e3,e0),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_164])]) ).
fof(f1515,plain,
( e0 != op(e4,e1)
| ~ spl76_14
| ~ spl76_26
| spl76_164 ),
inference(forward_demodulation,[],[f1514,f703]) ).
fof(f1514,plain,
( e0 != op(op(e3,e0),e1)
| ~ spl76_14
| spl76_164 ),
inference(forward_demodulation,[],[f1390,f643]) ).
fof(f1390,plain,
( e0 != op(op(e3,e0),op(e0,e3))
| spl76_164 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1577,plain,
( ~ spl76_25
| ~ spl76_15
| ~ spl76_31
| spl76_165 ),
inference(avatar_split_clause,[],[f1513,f1392,f726,f646,f696]) ).
fof(f1392,plain,
( spl76_165
<=> e0 = op(op(e4,e0),op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_165])]) ).
fof(f1513,plain,
( e0 != op(e2,e4)
| ~ spl76_15
| ~ spl76_31
| spl76_165 ),
inference(forward_demodulation,[],[f1512,f728]) ).
fof(f1512,plain,
( e0 != op(op(e4,e0),e4)
| ~ spl76_15
| spl76_165 ),
inference(forward_demodulation,[],[f1394,f648]) ).
fof(f1394,plain,
( e0 != op(op(e4,e0),op(e0,e4))
| spl76_165 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1574,plain,
( ~ spl76_21
| ~ spl76_12
| ~ spl76_16
| spl76_166 ),
inference(avatar_split_clause,[],[f1511,f1396,f651,f631,f676]) ).
fof(f1396,plain,
( spl76_166
<=> e1 = op(op(e0,e1),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_166])]) ).
fof(f1511,plain,
( e1 != op(e2,e0)
| ~ spl76_12
| ~ spl76_16
| spl76_166 ),
inference(forward_demodulation,[],[f1510,f633]) ).
fof(f1510,plain,
( e1 != op(op(e0,e1),e0)
| ~ spl76_16
| spl76_166 ),
inference(forward_demodulation,[],[f1398,f653]) ).
fof(f1398,plain,
( e1 != op(op(e0,e1),op(e1,e0))
| spl76_166 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1572,plain,
( ~ spl76_35
| ~ spl76_17
| spl76_167 ),
inference(avatar_split_clause,[],[f1509,f1400,f656,f746]) ).
fof(f1400,plain,
( spl76_167
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_167])]) ).
fof(f1509,plain,
( e1 != op(e4,e4)
| ~ spl76_17
| spl76_167 ),
inference(forward_demodulation,[],[f1402,f658]) ).
fof(f1402,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl76_167 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1569,plain,
( ~ spl76_27
| ~ spl76_18
| ~ spl76_22
| spl76_168 ),
inference(avatar_split_clause,[],[f1508,f1404,f681,f661,f706]) ).
fof(f1404,plain,
( spl76_168
<=> e1 = op(op(e2,e1),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_168])]) ).
fof(f1508,plain,
( e1 != op(e3,e1)
| ~ spl76_18
| ~ spl76_22
| spl76_168 ),
inference(forward_demodulation,[],[f1507,f683]) ).
fof(f1507,plain,
( e1 != op(op(e2,e1),e1)
| ~ spl76_18
| spl76_168 ),
inference(forward_demodulation,[],[f1406,f663]) ).
fof(f1406,plain,
( e1 != op(op(e2,e1),op(e1,e2))
| spl76_168 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1566,plain,
( ~ spl76_18
| ~ spl76_19
| ~ spl76_27
| spl76_169 ),
inference(avatar_split_clause,[],[f1506,f1408,f706,f666,f661]) ).
fof(f1408,plain,
( spl76_169
<=> e1 = op(op(e3,e1),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_169])]) ).
fof(f1506,plain,
( e1 != op(e1,e2)
| ~ spl76_19
| ~ spl76_27
| spl76_169 ),
inference(forward_demodulation,[],[f1505,f708]) ).
fof(f1505,plain,
( e1 != op(op(e3,e1),e2)
| ~ spl76_19
| spl76_169 ),
inference(forward_demodulation,[],[f1410,f668]) ).
fof(f1410,plain,
( e1 != op(op(e3,e1),op(e1,e3))
| spl76_169 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1563,plain,
( ~ spl76_14
| ~ spl76_20
| ~ spl76_32
| spl76_170 ),
inference(avatar_split_clause,[],[f1504,f1412,f731,f671,f641]) ).
fof(f1412,plain,
( spl76_170
<=> e1 = op(op(e4,e1),op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_170])]) ).
fof(f1504,plain,
( e1 != op(e0,e3)
| ~ spl76_20
| ~ spl76_32
| spl76_170 ),
inference(forward_demodulation,[],[f1503,f733]) ).
fof(f1503,plain,
( e1 != op(op(e4,e1),e3)
| ~ spl76_20
| spl76_170 ),
inference(forward_demodulation,[],[f1414,f673]) ).
fof(f1414,plain,
( e1 != op(op(e4,e1),op(e1,e4))
| spl76_170 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1560,plain,
( ~ spl76_12
| ~ spl76_13
| ~ spl76_21
| spl76_171 ),
inference(avatar_split_clause,[],[f1502,f1416,f676,f636,f631]) ).
fof(f1416,plain,
( spl76_171
<=> e2 = op(op(e0,e2),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_171])]) ).
fof(f1502,plain,
( e2 != op(e0,e1)
| ~ spl76_13
| ~ spl76_21
| spl76_171 ),
inference(forward_demodulation,[],[f1501,f638]) ).
fof(f1501,plain,
( e2 != op(op(e0,e2),e1)
| ~ spl76_21
| spl76_171 ),
inference(forward_demodulation,[],[f1418,f678]) ).
fof(f1418,plain,
( e2 != op(op(e0,e2),op(e2,e0))
| spl76_171 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1557,plain,
( ~ spl76_19
| ~ spl76_18
| ~ spl76_22
| spl76_172 ),
inference(avatar_split_clause,[],[f1500,f1420,f681,f661,f666]) ).
fof(f1420,plain,
( spl76_172
<=> e2 = op(op(e1,e2),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_172])]) ).
fof(f1500,plain,
( e2 != op(e1,e3)
| ~ spl76_18
| ~ spl76_22
| spl76_172 ),
inference(forward_demodulation,[],[f1499,f663]) ).
fof(f1499,plain,
( e2 != op(op(e1,e2),e3)
| ~ spl76_22
| spl76_172 ),
inference(forward_demodulation,[],[f1422,f683]) ).
fof(f1422,plain,
( e2 != op(op(e1,e2),op(e2,e1))
| spl76_172 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1555,plain,
( ~ spl76_23
| ~ spl76_23
| spl76_173 ),
inference(avatar_split_clause,[],[f1498,f1424,f686,f686]) ).
fof(f1424,plain,
( spl76_173
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_173])]) ).
fof(f1498,plain,
( e2 != op(e2,e2)
| ~ spl76_23
| spl76_173 ),
inference(forward_demodulation,[],[f1426,f688]) ).
fof(f1426,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl76_173 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1552,plain,
( ~ spl76_30
| ~ spl76_24
| ~ spl76_28
| spl76_174 ),
inference(avatar_split_clause,[],[f1497,f1428,f711,f691,f721]) ).
fof(f1428,plain,
( spl76_174
<=> e2 = op(op(e3,e2),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_174])]) ).
fof(f1497,plain,
( e2 != op(e3,e4)
| ~ spl76_24
| ~ spl76_28
| spl76_174 ),
inference(forward_demodulation,[],[f1496,f713]) ).
fof(f1496,plain,
( e2 != op(op(e3,e2),e4)
| ~ spl76_24
| spl76_174 ),
inference(forward_demodulation,[],[f1430,f693]) ).
fof(f1430,plain,
( e2 != op(op(e3,e2),op(e2,e3))
| spl76_174 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1549,plain,
( ~ spl76_31
| ~ spl76_25
| ~ spl76_33
| spl76_175 ),
inference(avatar_split_clause,[],[f1495,f1432,f736,f696,f726]) ).
fof(f1432,plain,
( spl76_175
<=> e2 = op(op(e4,e2),op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_175])]) ).
fof(f1495,plain,
( e2 != op(e4,e0)
| ~ spl76_25
| ~ spl76_33
| spl76_175 ),
inference(forward_demodulation,[],[f1494,f738]) ).
fof(f1494,plain,
( e2 != op(op(e4,e2),e0)
| ~ spl76_25
| spl76_175 ),
inference(forward_demodulation,[],[f1434,f698]) ).
fof(f1434,plain,
( e2 != op(op(e4,e2),op(e2,e4))
| spl76_175 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1546,plain,
( ~ spl76_20
| ~ spl76_14
| ~ spl76_26
| spl76_176 ),
inference(avatar_split_clause,[],[f1493,f1436,f701,f641,f671]) ).
fof(f1436,plain,
( spl76_176
<=> e3 = op(op(e0,e3),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_176])]) ).
fof(f1493,plain,
( e3 != op(e1,e4)
| ~ spl76_14
| ~ spl76_26
| spl76_176 ),
inference(forward_demodulation,[],[f1492,f643]) ).
fof(f1492,plain,
( e3 != op(op(e0,e3),e4)
| ~ spl76_26
| spl76_176 ),
inference(forward_demodulation,[],[f1438,f703]) ).
fof(f1438,plain,
( e3 != op(op(e0,e3),op(e3,e0))
| spl76_176 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1543,plain,
( ~ spl76_22
| ~ spl76_19
| ~ spl76_27
| spl76_177 ),
inference(avatar_split_clause,[],[f1491,f1440,f706,f666,f681]) ).
fof(f1440,plain,
( spl76_177
<=> e3 = op(op(e1,e3),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_177])]) ).
fof(f1491,plain,
( e3 != op(e2,e1)
| ~ spl76_19
| ~ spl76_27
| spl76_177 ),
inference(forward_demodulation,[],[f1490,f668]) ).
fof(f1490,plain,
( e3 != op(op(e1,e3),e1)
| ~ spl76_27
| spl76_177 ),
inference(forward_demodulation,[],[f1442,f708]) ).
fof(f1442,plain,
( e3 != op(op(e1,e3),op(e3,e1))
| spl76_177 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1540,plain,
( ~ spl76_34
| ~ spl76_24
| ~ spl76_28
| spl76_178 ),
inference(avatar_split_clause,[],[f1489,f1444,f711,f691,f741]) ).
fof(f1444,plain,
( spl76_178
<=> e3 = op(op(e2,e3),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_178])]) ).
fof(f1489,plain,
( e3 != op(e4,e3)
| ~ spl76_24
| ~ spl76_28
| spl76_178 ),
inference(forward_demodulation,[],[f1488,f693]) ).
fof(f1488,plain,
( e3 != op(op(e2,e3),e3)
| ~ spl76_28
| spl76_178 ),
inference(forward_demodulation,[],[f1446,f713]) ).
fof(f1446,plain,
( e3 != op(op(e2,e3),op(e3,e2))
| spl76_178 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1538,plain,
( ~ spl76_11
| ~ spl76_29
| spl76_179 ),
inference(avatar_split_clause,[],[f1487,f1448,f716,f626]) ).
fof(f1448,plain,
( spl76_179
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_179])]) ).
fof(f1487,plain,
( e3 != op(e0,e0)
| ~ spl76_29
| spl76_179 ),
inference(forward_demodulation,[],[f1450,f718]) ).
fof(f1450,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl76_179 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1535,plain,
( ~ spl76_28
| ~ spl76_30
| ~ spl76_34
| spl76_180 ),
inference(avatar_split_clause,[],[f1486,f1452,f741,f721,f711]) ).
fof(f1452,plain,
( spl76_180
<=> e3 = op(op(e4,e3),op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_180])]) ).
fof(f1486,plain,
( e3 != op(e3,e2)
| ~ spl76_30
| ~ spl76_34
| spl76_180 ),
inference(forward_demodulation,[],[f1485,f743]) ).
fof(f1485,plain,
( e3 != op(op(e4,e3),e2)
| ~ spl76_30
| spl76_180 ),
inference(forward_demodulation,[],[f1454,f723]) ).
fof(f1454,plain,
( e3 != op(op(e4,e3),op(e3,e4))
| spl76_180 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1532,plain,
( ~ spl76_33
| ~ spl76_15
| ~ spl76_31
| spl76_181 ),
inference(avatar_split_clause,[],[f1484,f1456,f726,f646,f736]) ).
fof(f1456,plain,
( spl76_181
<=> e4 = op(op(e0,e4),op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_181])]) ).
fof(f1484,plain,
( e4 != op(e4,e2)
| ~ spl76_15
| ~ spl76_31
| spl76_181 ),
inference(forward_demodulation,[],[f1483,f648]) ).
fof(f1483,plain,
( e4 != op(op(e0,e4),e2)
| ~ spl76_31
| spl76_181 ),
inference(forward_demodulation,[],[f1458,f728]) ).
fof(f1458,plain,
( e4 != op(op(e0,e4),op(e4,e0))
| spl76_181 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1529,plain,
( ~ spl76_26
| ~ spl76_20
| ~ spl76_32
| spl76_182 ),
inference(avatar_split_clause,[],[f1482,f1460,f731,f671,f701]) ).
fof(f1460,plain,
( spl76_182
<=> e4 = op(op(e1,e4),op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_182])]) ).
fof(f1482,plain,
( e4 != op(e3,e0)
| ~ spl76_20
| ~ spl76_32
| spl76_182 ),
inference(forward_demodulation,[],[f1481,f673]) ).
fof(f1481,plain,
( e4 != op(op(e1,e4),e0)
| ~ spl76_32
| spl76_182 ),
inference(forward_demodulation,[],[f1462,f733]) ).
fof(f1462,plain,
( e4 != op(op(e1,e4),op(e4,e1))
| spl76_182 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1526,plain,
( ~ spl76_15
| ~ spl76_25
| ~ spl76_33
| spl76_183 ),
inference(avatar_split_clause,[],[f1480,f1464,f736,f696,f646]) ).
fof(f1464,plain,
( spl76_183
<=> e4 = op(op(e2,e4),op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_183])]) ).
fof(f1480,plain,
( e4 != op(e0,e4)
| ~ spl76_25
| ~ spl76_33
| spl76_183 ),
inference(forward_demodulation,[],[f1479,f698]) ).
fof(f1479,plain,
( e4 != op(op(e2,e4),e4)
| ~ spl76_33
| spl76_183 ),
inference(forward_demodulation,[],[f1466,f738]) ).
fof(f1466,plain,
( e4 != op(op(e2,e4),op(e4,e2))
| spl76_183 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1523,plain,
( ~ spl76_24
| ~ spl76_30
| ~ spl76_34
| spl76_184 ),
inference(avatar_split_clause,[],[f1478,f1468,f741,f721,f691]) ).
fof(f1468,plain,
( spl76_184
<=> e4 = op(op(e3,e4),op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_184])]) ).
fof(f1478,plain,
( e4 != op(e2,e3)
| ~ spl76_30
| ~ spl76_34
| spl76_184 ),
inference(forward_demodulation,[],[f1477,f723]) ).
fof(f1477,plain,
( e4 != op(op(e3,e4),e3)
| ~ spl76_34
| spl76_184 ),
inference(forward_demodulation,[],[f1470,f743]) ).
fof(f1470,plain,
( e4 != op(op(e3,e4),op(e4,e3))
| spl76_184 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1521,plain,
( ~ spl76_17
| ~ spl76_35
| spl76_185 ),
inference(avatar_split_clause,[],[f1476,f1472,f746,f656]) ).
fof(f1472,plain,
( spl76_185
<=> e4 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_185])]) ).
fof(f1476,plain,
( e4 != op(e1,e1)
| ~ spl76_35
| spl76_185 ),
inference(forward_demodulation,[],[f1474,f748]) ).
fof(f1474,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| spl76_185 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1475,plain,
( spl76_160
| spl76_159
| spl76_158
| spl76_157
| spl76_156
| spl76_155
| spl76_154
| spl76_152
| spl76_150
| spl76_148
| spl76_146
| spl76_145
| spl76_143
| spl76_141
| spl76_139
| spl76_138
| spl76_137
| spl76_135
| spl76_133
| spl76_132
| spl76_130
| spl76_129
| spl76_128
| spl76_126
| spl76_124
| spl76_122
| spl76_121
| spl76_119
| spl76_118
| spl76_116
| spl76_115
| spl76_113
| spl76_112
| spl76_111
| spl76_110
| spl76_108
| spl76_107
| spl76_105
| spl76_103
| spl76_101
| spl76_99
| spl76_98
| spl76_96
| spl76_94
| spl76_92
| spl76_90
| spl76_88
| spl76_87
| spl76_86
| spl76_84
| spl76_82
| spl76_80
| spl76_78
| spl76_76
| spl76_74
| spl76_72
| spl76_70
| spl76_68
| spl76_66
| spl76_65
| spl76_63
| spl76_61
| spl76_59
| spl76_57
| spl76_56
| spl76_54
| spl76_52
| spl76_50
| spl76_48
| spl76_46
| spl76_45
| spl76_43
| spl76_41
| spl76_39
| spl76_37
| spl76_36
| ~ spl76_161
| ~ spl76_162
| ~ spl76_163
| ~ spl76_164
| ~ spl76_165
| ~ spl76_166
| ~ spl76_167
| ~ spl76_168
| ~ spl76_169
| ~ spl76_170
| ~ spl76_171
| ~ spl76_172
| ~ spl76_173
| ~ spl76_174
| ~ spl76_175
| ~ spl76_176
| ~ spl76_177
| ~ spl76_178
| ~ spl76_179
| ~ spl76_180
| ~ spl76_181
| ~ spl76_182
| ~ spl76_183
| ~ spl76_184
| ~ spl76_185 ),
inference(avatar_split_clause,[],[f539,f1472,f1468,f1464,f1460,f1456,f1452,f1448,f1444,f1440,f1436,f1432,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384,f1380,f1376,f751,f756,f766,f776,f786,f796,f801,f811,f821,f831,f841,f851,f856,f866,f876,f886,f896,f901,f911,f921,f931,f941,f951,f961,f971,f981,f991,f1001,f1006,f1011,f1021,f1031,f1041,f1051,f1061,f1066,f1076,f1086,f1096,f1106,f1111,f1121,f1126,f1131,f1136,f1146,f1151,f1161,f1166,f1176,f1181,f1191,f1201,f1211,f1216,f1221,f1231,f1236,f1246,f1256,f1261,f1266,f1276,f1286,f1296,f1301,f1311,f1321,f1331,f1341,f1346,f1351,f1356,f1361,f1366,f1371]) ).
fof(f1366,plain,
( spl76_159
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_159])]) ).
fof(f1361,plain,
( spl76_158
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_158])]) ).
fof(f1356,plain,
( spl76_157
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_157])]) ).
fof(f1351,plain,
( spl76_156
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_156])]) ).
fof(f1346,plain,
( spl76_155
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_155])]) ).
fof(f1341,plain,
( spl76_154
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_154])]) ).
fof(f1296,plain,
( spl76_145
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_145])]) ).
fof(f1261,plain,
( spl76_138
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_138])]) ).
fof(f1256,plain,
( spl76_137
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_137])]) ).
fof(f1231,plain,
( spl76_132
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_132])]) ).
fof(f1216,plain,
( spl76_129
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_129])]) ).
fof(f1211,plain,
( spl76_128
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_128])]) ).
fof(f1176,plain,
( spl76_121
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_121])]) ).
fof(f1146,plain,
( spl76_115
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_115])]) ).
fof(f1131,plain,
( spl76_112
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_112])]) ).
fof(f1126,plain,
( spl76_111
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_111])]) ).
fof(f1106,plain,
( spl76_107
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_107])]) ).
fof(f1061,plain,
( spl76_98
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_98])]) ).
fof(f1006,plain,
( spl76_87
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_87])]) ).
fof(f1001,plain,
( spl76_86
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_86])]) ).
fof(f896,plain,
( spl76_65
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_65])]) ).
fof(f851,plain,
( spl76_56
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_56])]) ).
fof(f796,plain,
( spl76_45
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_45])]) ).
fof(f751,plain,
( spl76_36
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_36])]) ).
fof(f539,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| 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
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| 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
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f5,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,f6]) ).
fof(f7,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f11,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f12,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f22,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f28,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f39,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f53,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f54,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f65,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f76,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f5,plain,
( e4 != op(op(e4,e4),op(e4,e4))
| e4 != op(op(e3,e4),op(e4,e3))
| e4 != op(op(e2,e4),op(e4,e2))
| e4 != op(op(e1,e4),op(e4,e1))
| e4 != op(op(e0,e4),op(e4,e0))
| e3 != op(op(e4,e3),op(e3,e4))
| e3 != op(op(e3,e3),op(e3,e3))
| e3 != op(op(e2,e3),op(e3,e2))
| e3 != op(op(e1,e3),op(e3,e1))
| e3 != op(op(e0,e3),op(e3,e0))
| e2 != op(op(e4,e2),op(e2,e4))
| e2 != op(op(e3,e2),op(e2,e3))
| e2 != op(op(e2,e2),op(e2,e2))
| e2 != op(op(e1,e2),op(e2,e1))
| e2 != op(op(e0,e2),op(e2,e0))
| e1 != op(op(e4,e1),op(e1,e4))
| e1 != op(op(e3,e1),op(e1,e3))
| e1 != op(op(e2,e1),op(e1,e2))
| e1 != op(op(e1,e1),op(e1,e1))
| e1 != op(op(e0,e1),op(e1,e0))
| e0 != op(op(e4,e0),op(e0,e4))
| e0 != op(op(e3,e0),op(e0,e3))
| e0 != op(op(e2,e0),op(e0,e2))
| e0 != op(op(e1,e0),op(e0,e1))
| e0 != op(op(e0,e0),op(e0,e0))
| ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ( ( e4 = op(e4,e4)
| e3 = op(e3,e4)
| e2 = op(e2,e4)
| e1 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( e4 = op(op(e4,e4),op(e4,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(op(e1,e4),op(e4,e1))
& e4 = op(op(e0,e4),op(e4,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e3 = op(op(e3,e3),op(e3,e3))
& e3 = op(op(e2,e3),op(e3,e2))
& e3 = op(op(e1,e3),op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(op(e4,e2),op(e2,e4))
& e2 = op(op(e3,e2),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e2 = op(op(e1,e2),op(e2,e1))
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(op(e4,e1),op(e1,e4))
& e1 = op(op(e3,e1),op(e1,e3))
& e1 = op(op(e2,e1),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e1 = op(op(e0,e1),op(e1,e0))
& e0 = op(op(e4,e0),op(e0,e4))
& e0 = op(op(e3,e0),op(e0,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0))
& ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| e4 = op(e0,e0) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( e4 = op(op(e4,e4),op(e4,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(op(e1,e4),op(e4,e1))
& e4 = op(op(e0,e4),op(e4,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e3 = op(op(e3,e3),op(e3,e3))
& e3 = op(op(e2,e3),op(e3,e2))
& e3 = op(op(e1,e3),op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(op(e4,e2),op(e2,e4))
& e2 = op(op(e3,e2),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e2 = op(op(e1,e2),op(e2,e1))
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(op(e4,e1),op(e1,e4))
& e1 = op(op(e3,e1),op(e1,e3))
& e1 = op(op(e2,e1),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e1 = op(op(e0,e1),op(e1,e0))
& e0 = op(op(e4,e0),op(e0,e4))
& e0 = op(op(e3,e0),op(e0,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0))
& ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e0,e0) )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| e4 = op(e0,e0) )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1374,plain,
( ~ spl76_160
| spl76_120
| spl76_104
| spl76_83
| spl76_60
| spl76_38 ),
inference(avatar_split_clause,[],[f534,f760,f870,f985,f1090,f1170,f1371]) ).
fof(f1170,plain,
( spl76_120
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_120])]) ).
fof(f1090,plain,
( spl76_104
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_104])]) ).
fof(f985,plain,
( spl76_83
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_83])]) ).
fof(f870,plain,
( spl76_60
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_60])]) ).
fof(f534,plain,
( e4 = op(e4,e0)
| e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f1369,plain,
( ~ spl76_159
| ~ spl76_11 ),
inference(avatar_split_clause,[],[f532,f626,f1366]) ).
fof(f532,plain,
( e3 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f1364,plain,
( ~ spl76_158
| ~ spl76_12 ),
inference(avatar_split_clause,[],[f526,f631,f1361]) ).
fof(f526,plain,
( e2 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1359,plain,
( ~ spl76_157
| ~ spl76_13 ),
inference(avatar_split_clause,[],[f519,f636,f1356]) ).
fof(f519,plain,
( e0 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1354,plain,
( ~ spl76_156
| ~ spl76_14 ),
inference(avatar_split_clause,[],[f515,f641,f1351]) ).
fof(f515,plain,
( e1 != op(e0,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1349,plain,
( ~ spl76_155
| ~ spl76_15 ),
inference(avatar_split_clause,[],[f513,f646,f1346]) ).
fof(f513,plain,
( e4 != op(e0,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1344,plain,
( ~ spl76_154
| ~ spl76_16 ),
inference(avatar_split_clause,[],[f504,f651,f1341]) ).
fof(f504,plain,
( e0 != op(e1,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1338,plain,
( ~ spl76_152
| ~ spl76_153 ),
inference(avatar_split_clause,[],[f499,f1335,f1331]) ).
fof(f1335,plain,
( spl76_153
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_153])]) ).
fof(f499,plain,
( e0 != op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1328,plain,
( ~ spl76_150
| ~ spl76_151 ),
inference(avatar_split_clause,[],[f494,f1325,f1321]) ).
fof(f1325,plain,
( spl76_151
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_151])]) ).
fof(f494,plain,
( e0 != op(e1,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f150]) ).
fof(f1318,plain,
( ~ spl76_148
| ~ spl76_149 ),
inference(avatar_split_clause,[],[f489,f1315,f1311]) ).
fof(f1315,plain,
( spl76_149
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_149])]) ).
fof(f489,plain,
( e0 != op(e1,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f149]) ).
fof(f1308,plain,
( ~ spl76_146
| ~ spl76_147 ),
inference(avatar_split_clause,[],[f484,f1305,f1301]) ).
fof(f1305,plain,
( spl76_147
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_147])]) ).
fof(f484,plain,
( e0 != op(e1,e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f148]) ).
fof(f1299,plain,
( ~ spl76_145
| ~ spl76_21 ),
inference(avatar_split_clause,[],[f480,f676,f1296]) ).
fof(f480,plain,
( e1 != op(e2,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1293,plain,
( ~ spl76_143
| ~ spl76_144 ),
inference(avatar_split_clause,[],[f474,f1290,f1286]) ).
fof(f1290,plain,
( spl76_144
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_144])]) ).
fof(f474,plain,
( e0 != op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f146]) ).
fof(f1283,plain,
( ~ spl76_141
| ~ spl76_142 ),
inference(avatar_split_clause,[],[f469,f1280,f1276]) ).
fof(f1280,plain,
( spl76_142
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_142])]) ).
fof(f469,plain,
( e0 != op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1273,plain,
( ~ spl76_139
| ~ spl76_140 ),
inference(avatar_split_clause,[],[f464,f1270,f1266]) ).
fof(f1270,plain,
( spl76_140
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_140])]) ).
fof(f464,plain,
( e0 != op(e2,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1264,plain,
( ~ spl76_138
| ~ spl76_25 ),
inference(avatar_split_clause,[],[f459,f696,f1261]) ).
fof(f459,plain,
( e0 != op(e2,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1259,plain,
( ~ spl76_137
| ~ spl76_26 ),
inference(avatar_split_clause,[],[f458,f701,f1256]) ).
fof(f458,plain,
( e4 != op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1253,plain,
( ~ spl76_135
| ~ spl76_136 ),
inference(avatar_split_clause,[],[f449,f1250,f1246]) ).
fof(f1250,plain,
( spl76_136
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_136])]) ).
fof(f449,plain,
( e0 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1243,plain,
( ~ spl76_133
| ~ spl76_134 ),
inference(avatar_split_clause,[],[f444,f1240,f1236]) ).
fof(f1240,plain,
( spl76_134
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_134])]) ).
fof(f444,plain,
( e0 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1234,plain,
( ~ spl76_132
| ~ spl76_29 ),
inference(avatar_split_clause,[],[f439,f716,f1231]) ).
fof(f439,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1228,plain,
( ~ spl76_130
| ~ spl76_131 ),
inference(avatar_split_clause,[],[f434,f1225,f1221]) ).
fof(f1225,plain,
( spl76_131
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_131])]) ).
fof(f434,plain,
( e0 != op(e3,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f138]) ).
fof(f1219,plain,
( ~ spl76_129
| ~ spl76_31 ),
inference(avatar_split_clause,[],[f431,f726,f1216]) ).
fof(f431,plain,
( e2 != op(e4,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1214,plain,
( ~ spl76_128
| ~ spl76_32 ),
inference(avatar_split_clause,[],[f424,f731,f1211]) ).
fof(f424,plain,
( e0 != op(e4,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1208,plain,
( ~ spl76_126
| ~ spl76_127 ),
inference(avatar_split_clause,[],[f419,f1205,f1201]) ).
fof(f1205,plain,
( spl76_127
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_127])]) ).
fof(f419,plain,
( e0 != op(e4,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f135]) ).
fof(f1198,plain,
( ~ spl76_124
| ~ spl76_125 ),
inference(avatar_split_clause,[],[f414,f1195,f1191]) ).
fof(f1195,plain,
( spl76_125
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_125])]) ).
fof(f414,plain,
( e0 != op(e4,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f134]) ).
fof(f1188,plain,
( ~ spl76_122
| ~ spl76_123 ),
inference(avatar_split_clause,[],[f409,f1185,f1181]) ).
fof(f1185,plain,
( spl76_123
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_123])]) ).
fof(f409,plain,
( e0 != op(e4,e4)
| ~ sP25 ),
inference(cnf_transformation,[],[f133]) ).
fof(f1179,plain,
( ~ spl76_121
| ~ spl76_13 ),
inference(avatar_split_clause,[],[f406,f636,f1176]) ).
fof(f406,plain,
( e0 != op(e0,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1173,plain,
( ~ spl76_119
| ~ spl76_120 ),
inference(avatar_split_clause,[],[f399,f1170,f1166]) ).
fof(f399,plain,
( e0 != op(e0,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f131]) ).
fof(f1164,plain,
( ~ spl76_118
| ~ spl76_85 ),
inference(avatar_split_clause,[],[f396,f995,f1161]) ).
fof(f995,plain,
( spl76_85
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_85])]) ).
fof(f396,plain,
( e1 != op(e0,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f130]) ).
fof(f1158,plain,
( ~ spl76_116
| ~ spl76_117 ),
inference(avatar_split_clause,[],[f389,f1155,f1151]) ).
fof(f1155,plain,
( spl76_117
<=> e1 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_117])]) ).
fof(f389,plain,
( e1 != op(e0,e0)
| ~ sP29 ),
inference(cnf_transformation,[],[f129]) ).
fof(f1149,plain,
( ~ spl76_115
| ~ spl76_12 ),
inference(avatar_split_clause,[],[f385,f631,f1146]) ).
fof(f385,plain,
( e2 != op(e0,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1143,plain,
( ~ spl76_113
| ~ spl76_114 ),
inference(avatar_split_clause,[],[f379,f1140,f1136]) ).
fof(f1140,plain,
( spl76_114
<=> e2 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_114])]) ).
fof(f379,plain,
( e2 != op(e0,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f127]) ).
fof(f1134,plain,
( ~ spl76_112
| ~ spl76_11 ),
inference(avatar_split_clause,[],[f374,f626,f1131]) ).
fof(f374,plain,
( e3 != op(e0,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1129,plain,
( ~ spl76_111
| ~ spl76_11 ),
inference(avatar_split_clause,[],[f369,f626,f1126]) ).
fof(f369,plain,
( e3 != op(e0,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1124,plain,
( ~ spl76_110
| ~ spl76_109 ),
inference(avatar_split_clause,[],[f364,f1115,f1121]) ).
fof(f1115,plain,
( spl76_109
<=> e4 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_109])]) ).
fof(f364,plain,
( e4 != op(e0,e0)
| ~ sP34 ),
inference(cnf_transformation,[],[f124]) ).
fof(f1118,plain,
( ~ spl76_108
| ~ spl76_109 ),
inference(avatar_split_clause,[],[f359,f1115,f1111]) ).
fof(f359,plain,
( e4 != op(e0,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f123]) ).
fof(f1109,plain,
( ~ spl76_107
| ~ spl76_16 ),
inference(avatar_split_clause,[],[f354,f651,f1106]) ).
fof(f354,plain,
( e0 != op(e1,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1103,plain,
( ~ spl76_105
| ~ spl76_106 ),
inference(avatar_split_clause,[],[f349,f1100,f1096]) ).
fof(f1100,plain,
( spl76_106
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_106])]) ).
fof(f349,plain,
( e0 != op(e0,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f121]) ).
fof(f1093,plain,
( ~ spl76_103
| ~ spl76_104 ),
inference(avatar_split_clause,[],[f344,f1090,f1086]) ).
fof(f344,plain,
( e1 != op(e1,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1083,plain,
( ~ spl76_101
| ~ spl76_102 ),
inference(avatar_split_clause,[],[f339,f1080,f1076]) ).
fof(f1080,plain,
( spl76_102
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_102])]) ).
fof(f339,plain,
( e1 != op(e0,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f119]) ).
fof(f1073,plain,
( ~ spl76_99
| ~ spl76_100 ),
inference(avatar_split_clause,[],[f334,f1070,f1066]) ).
fof(f1070,plain,
( spl76_100
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_100])]) ).
fof(f334,plain,
( e2 != op(e1,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f118]) ).
fof(f1064,plain,
( ~ spl76_98
| ~ spl76_12 ),
inference(avatar_split_clause,[],[f329,f631,f1061]) ).
fof(f329,plain,
( e2 != op(e0,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP41 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1058,plain,
( ~ spl76_96
| ~ spl76_97 ),
inference(avatar_split_clause,[],[f324,f1055,f1051]) ).
fof(f1055,plain,
( spl76_97
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_97])]) ).
fof(f324,plain,
( e3 != op(e1,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f116]) ).
fof(f1048,plain,
( ~ spl76_94
| ~ spl76_95 ),
inference(avatar_split_clause,[],[f319,f1045,f1041]) ).
fof(f1045,plain,
( spl76_95
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_95])]) ).
fof(f319,plain,
( e3 != op(e0,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f115]) ).
fof(f1038,plain,
( ~ spl76_92
| ~ spl76_93 ),
inference(avatar_split_clause,[],[f314,f1035,f1031]) ).
fof(f1035,plain,
( spl76_93
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_93])]) ).
fof(f314,plain,
( e4 != op(e1,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f114]) ).
fof(f1028,plain,
( ~ spl76_90
| ~ spl76_91 ),
inference(avatar_split_clause,[],[f309,f1025,f1021]) ).
fof(f1025,plain,
( spl76_91
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_91])]) ).
fof(f309,plain,
( e4 != op(e0,e1)
| ~ sP45 ),
inference(cnf_transformation,[],[f113]) ).
fof(f1018,plain,
( ~ spl76_88
| ~ spl76_89 ),
inference(avatar_split_clause,[],[f304,f1015,f1011]) ).
fof(f1015,plain,
( spl76_89
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_89])]) ).
fof(f304,plain,
( e0 != op(e2,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f112]) ).
fof(f1009,plain,
( ~ spl76_87
| ~ spl76_13 ),
inference(avatar_split_clause,[],[f299,f636,f1006]) ).
fof(f299,plain,
( e0 != op(e0,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP47 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1004,plain,
( ~ spl76_86
| ~ spl76_21 ),
inference(avatar_split_clause,[],[f294,f676,f1001]) ).
fof(f294,plain,
( e1 != op(e2,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f54]) ).
fof(f998,plain,
( ~ spl76_84
| ~ spl76_85 ),
inference(avatar_split_clause,[],[f289,f995,f991]) ).
fof(f289,plain,
( e1 != op(e0,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f109]) ).
fof(f988,plain,
( ~ spl76_82
| ~ spl76_83 ),
inference(avatar_split_clause,[],[f284,f985,f981]) ).
fof(f284,plain,
( e2 != op(e2,e0)
| ~ sP50 ),
inference(cnf_transformation,[],[f108]) ).
fof(f978,plain,
( ~ spl76_80
| ~ spl76_81 ),
inference(avatar_split_clause,[],[f279,f975,f971]) ).
fof(f975,plain,
( spl76_81
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_81])]) ).
fof(f279,plain,
( e2 != op(e0,e2)
| ~ sP51 ),
inference(cnf_transformation,[],[f107]) ).
fof(f968,plain,
( ~ spl76_78
| ~ spl76_79 ),
inference(avatar_split_clause,[],[f274,f965,f961]) ).
fof(f965,plain,
( spl76_79
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_79])]) ).
fof(f274,plain,
( e3 != op(e2,e0)
| ~ sP52 ),
inference(cnf_transformation,[],[f106]) ).
fof(f958,plain,
( ~ spl76_76
| ~ spl76_77 ),
inference(avatar_split_clause,[],[f269,f955,f951]) ).
fof(f955,plain,
( spl76_77
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_77])]) ).
fof(f269,plain,
( e3 != op(e0,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f105]) ).
fof(f948,plain,
( ~ spl76_74
| ~ spl76_75 ),
inference(avatar_split_clause,[],[f264,f945,f941]) ).
fof(f945,plain,
( spl76_75
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_75])]) ).
fof(f264,plain,
( e4 != op(e2,e0)
| ~ sP54 ),
inference(cnf_transformation,[],[f104]) ).
fof(f938,plain,
( ~ spl76_72
| ~ spl76_73 ),
inference(avatar_split_clause,[],[f259,f935,f931]) ).
fof(f935,plain,
( spl76_73
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_73])]) ).
fof(f259,plain,
( e4 != op(e0,e2)
| ~ sP55 ),
inference(cnf_transformation,[],[f103]) ).
fof(f928,plain,
( ~ spl76_70
| ~ spl76_71 ),
inference(avatar_split_clause,[],[f254,f925,f921]) ).
fof(f925,plain,
( spl76_71
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_71])]) ).
fof(f254,plain,
( e0 != op(e3,e0)
| ~ sP56 ),
inference(cnf_transformation,[],[f102]) ).
fof(f918,plain,
( ~ spl76_68
| ~ spl76_69 ),
inference(avatar_split_clause,[],[f249,f915,f911]) ).
fof(f915,plain,
( spl76_69
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_69])]) ).
fof(f249,plain,
( e0 != op(e0,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f101]) ).
fof(f908,plain,
( ~ spl76_66
| ~ spl76_67 ),
inference(avatar_split_clause,[],[f244,f905,f901]) ).
fof(f905,plain,
( spl76_67
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_67])]) ).
fof(f244,plain,
( e1 != op(e3,e0)
| ~ sP58 ),
inference(cnf_transformation,[],[f100]) ).
fof(f899,plain,
( ~ spl76_65
| ~ spl76_14 ),
inference(avatar_split_clause,[],[f239,f641,f896]) ).
fof(f239,plain,
( e1 != op(e0,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP59 ),
inference(nnf_transformation,[],[f65]) ).
fof(f893,plain,
( ~ spl76_63
| ~ spl76_64 ),
inference(avatar_split_clause,[],[f234,f890,f886]) ).
fof(f890,plain,
( spl76_64
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_64])]) ).
fof(f234,plain,
( e2 != op(e3,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f98]) ).
fof(f883,plain,
( ~ spl76_61
| ~ spl76_62 ),
inference(avatar_split_clause,[],[f229,f880,f876]) ).
fof(f880,plain,
( spl76_62
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_62])]) ).
fof(f229,plain,
( e2 != op(e0,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f97]) ).
fof(f873,plain,
( ~ spl76_59
| ~ spl76_60 ),
inference(avatar_split_clause,[],[f224,f870,f866]) ).
fof(f224,plain,
( e3 != op(e3,e0)
| ~ sP62 ),
inference(cnf_transformation,[],[f96]) ).
fof(f863,plain,
( ~ spl76_57
| ~ spl76_58 ),
inference(avatar_split_clause,[],[f219,f860,f856]) ).
fof(f860,plain,
( spl76_58
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_58])]) ).
fof(f219,plain,
( e3 != op(e0,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f95]) ).
fof(f854,plain,
( ~ spl76_56
| ~ spl76_26 ),
inference(avatar_split_clause,[],[f214,f701,f851]) ).
fof(f214,plain,
( e4 != op(e3,e0)
| ~ sP64 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP64 ),
inference(nnf_transformation,[],[f70]) ).
fof(f848,plain,
( ~ spl76_54
| ~ spl76_55 ),
inference(avatar_split_clause,[],[f209,f845,f841]) ).
fof(f845,plain,
( spl76_55
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_55])]) ).
fof(f209,plain,
( e4 != op(e0,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f93]) ).
fof(f838,plain,
( ~ spl76_52
| ~ spl76_53 ),
inference(avatar_split_clause,[],[f204,f835,f831]) ).
fof(f835,plain,
( spl76_53
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_53])]) ).
fof(f204,plain,
( e0 != op(e4,e0)
| ~ sP66 ),
inference(cnf_transformation,[],[f92]) ).
fof(f828,plain,
( ~ spl76_50
| ~ spl76_51 ),
inference(avatar_split_clause,[],[f199,f825,f821]) ).
fof(f825,plain,
( spl76_51
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_51])]) ).
fof(f199,plain,
( e0 != op(e0,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f91]) ).
fof(f818,plain,
( ~ spl76_48
| ~ spl76_49 ),
inference(avatar_split_clause,[],[f194,f815,f811]) ).
fof(f815,plain,
( spl76_49
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_49])]) ).
fof(f194,plain,
( e1 != op(e4,e0)
| ~ sP68 ),
inference(cnf_transformation,[],[f90]) ).
fof(f808,plain,
( ~ spl76_46
| ~ spl76_47 ),
inference(avatar_split_clause,[],[f189,f805,f801]) ).
fof(f805,plain,
( spl76_47
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_47])]) ).
fof(f189,plain,
( e1 != op(e0,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f89]) ).
fof(f799,plain,
( ~ spl76_45
| ~ spl76_31 ),
inference(avatar_split_clause,[],[f184,f726,f796]) ).
fof(f184,plain,
( e2 != op(e4,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP70 ),
inference(nnf_transformation,[],[f76]) ).
fof(f793,plain,
( ~ spl76_43
| ~ spl76_44 ),
inference(avatar_split_clause,[],[f179,f790,f786]) ).
fof(f790,plain,
( spl76_44
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_44])]) ).
fof(f179,plain,
( e2 != op(e0,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f87]) ).
fof(f783,plain,
( ~ spl76_41
| ~ spl76_42 ),
inference(avatar_split_clause,[],[f174,f780,f776]) ).
fof(f780,plain,
( spl76_42
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_42])]) ).
fof(f174,plain,
( e3 != op(e4,e0)
| ~ sP72 ),
inference(cnf_transformation,[],[f86]) ).
fof(f773,plain,
( ~ spl76_39
| ~ spl76_40 ),
inference(avatar_split_clause,[],[f169,f770,f766]) ).
fof(f770,plain,
( spl76_40
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl76_40])]) ).
fof(f169,plain,
( e3 != op(e0,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f85]) ).
fof(f763,plain,
( ~ spl76_37
| ~ spl76_38 ),
inference(avatar_split_clause,[],[f164,f760,f756]) ).
fof(f164,plain,
( e4 != op(e4,e0)
| ~ sP74 ),
inference(cnf_transformation,[],[f84]) ).
fof(f754,plain,
( ~ spl76_36
| ~ spl76_15 ),
inference(avatar_split_clause,[],[f159,f646,f751]) ).
fof(f159,plain,
( e4 != op(e0,e4)
| ~ sP75 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP75 ),
inference(nnf_transformation,[],[f81]) ).
fof(f749,plain,
spl76_35,
inference(avatar_split_clause,[],[f574,f746]) ).
fof(f574,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(e4,e4)
& e3 = op(e4,e3)
& e4 = op(e4,e2)
& e0 = op(e4,e1)
& e2 = op(e4,e0)
& e2 = op(e3,e4)
& e0 = op(e3,e3)
& e3 = op(e3,e2)
& e1 = op(e3,e1)
& e4 = op(e3,e0)
& e0 = op(e2,e4)
& e4 = op(e2,e3)
& e2 = op(e2,e2)
& e3 = op(e2,e1)
& e1 = op(e2,e0)
& e3 = op(e1,e4)
& e2 = op(e1,e3)
& e1 = op(e1,e2)
& e4 = op(e1,e1)
& e0 = op(e1,e0)
& e4 = op(e0,e4)
& e1 = op(e0,e3)
& e0 = op(e0,e2)
& e2 = op(e0,e1)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f744,plain,
spl76_34,
inference(avatar_split_clause,[],[f573,f741]) ).
fof(f573,plain,
e3 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f739,plain,
spl76_33,
inference(avatar_split_clause,[],[f572,f736]) ).
fof(f572,plain,
e4 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f734,plain,
spl76_32,
inference(avatar_split_clause,[],[f571,f731]) ).
fof(f571,plain,
e0 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f729,plain,
spl76_31,
inference(avatar_split_clause,[],[f570,f726]) ).
fof(f570,plain,
e2 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f724,plain,
spl76_30,
inference(avatar_split_clause,[],[f569,f721]) ).
fof(f569,plain,
e2 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f719,plain,
spl76_29,
inference(avatar_split_clause,[],[f568,f716]) ).
fof(f568,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f714,plain,
spl76_28,
inference(avatar_split_clause,[],[f567,f711]) ).
fof(f567,plain,
e3 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f709,plain,
spl76_27,
inference(avatar_split_clause,[],[f566,f706]) ).
fof(f566,plain,
e1 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f704,plain,
spl76_26,
inference(avatar_split_clause,[],[f565,f701]) ).
fof(f565,plain,
e4 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f699,plain,
spl76_25,
inference(avatar_split_clause,[],[f564,f696]) ).
fof(f564,plain,
e0 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f694,plain,
spl76_24,
inference(avatar_split_clause,[],[f563,f691]) ).
fof(f563,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f689,plain,
spl76_23,
inference(avatar_split_clause,[],[f562,f686]) ).
fof(f562,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f684,plain,
spl76_22,
inference(avatar_split_clause,[],[f561,f681]) ).
fof(f561,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f679,plain,
spl76_21,
inference(avatar_split_clause,[],[f560,f676]) ).
fof(f560,plain,
e1 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f674,plain,
spl76_20,
inference(avatar_split_clause,[],[f559,f671]) ).
fof(f559,plain,
e3 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f669,plain,
spl76_19,
inference(avatar_split_clause,[],[f558,f666]) ).
fof(f558,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f664,plain,
spl76_18,
inference(avatar_split_clause,[],[f557,f661]) ).
fof(f557,plain,
e1 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f659,plain,
spl76_17,
inference(avatar_split_clause,[],[f556,f656]) ).
fof(f556,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f654,plain,
spl76_16,
inference(avatar_split_clause,[],[f555,f651]) ).
fof(f555,plain,
e0 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f649,plain,
spl76_15,
inference(avatar_split_clause,[],[f554,f646]) ).
fof(f554,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f644,plain,
spl76_14,
inference(avatar_split_clause,[],[f553,f641]) ).
fof(f553,plain,
e1 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f639,plain,
spl76_13,
inference(avatar_split_clause,[],[f552,f636]) ).
fof(f552,plain,
e0 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f634,plain,
spl76_12,
inference(avatar_split_clause,[],[f551,f631]) ).
fof(f551,plain,
e2 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f629,plain,
spl76_11,
inference(avatar_split_clause,[],[f550,f626]) ).
fof(f550,plain,
e3 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f624,plain,
~ spl76_10,
inference(avatar_split_clause,[],[f549,f621]) ).
fof(f621,plain,
( spl76_10
<=> e3 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_10])]) ).
fof(f549,plain,
e3 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f619,plain,
~ spl76_9,
inference(avatar_split_clause,[],[f548,f616]) ).
fof(f548,plain,
e2 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f614,plain,
~ spl76_8,
inference(avatar_split_clause,[],[f547,f611]) ).
fof(f547,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f609,plain,
~ spl76_7,
inference(avatar_split_clause,[],[f546,f606]) ).
fof(f546,plain,
e1 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f604,plain,
~ spl76_6,
inference(avatar_split_clause,[],[f545,f601]) ).
fof(f545,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f599,plain,
~ spl76_5,
inference(avatar_split_clause,[],[f544,f596]) ).
fof(f596,plain,
( spl76_5
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_5])]) ).
fof(f544,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f594,plain,
~ spl76_4,
inference(avatar_split_clause,[],[f543,f591]) ).
fof(f543,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f589,plain,
~ spl76_3,
inference(avatar_split_clause,[],[f542,f586]) ).
fof(f586,plain,
( spl76_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_3])]) ).
fof(f542,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f584,plain,
~ spl76_2,
inference(avatar_split_clause,[],[f541,f581]) ).
fof(f541,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f579,plain,
~ spl76_1,
inference(avatar_split_clause,[],[f540,f576]) ).
fof(f576,plain,
( spl76_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl76_1])]) ).
fof(f540,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG186+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:59:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16200)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (16205)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (16203)WARNING: value z3 for option sas not known
% 0.22/0.40 % (16204)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (16203)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40 % (16201)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40 % (16202)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (16207)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.40 % (16206)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.43 % (16205)First to succeed.
% 0.22/0.45 % (16205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16200"
% 0.22/0.45 % (16205)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (16205)------------------------------
% 0.22/0.46 % (16205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46 % (16205)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (16205)Memory used [KB]: 1427
% 0.22/0.46 % (16205)Time elapsed: 0.057 s
% 0.22/0.46 % (16205)Instructions burned: 75 (million)
% 0.22/0.46 % (16200)Success in time 0.094 s
%------------------------------------------------------------------------------