TSTP Solution File: ALG112+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:48 EDT 2022
% Result : Theorem 3.65s 0.90s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 195
% Syntax : Number of formulae : 979 ( 126 unt; 0 def)
% Number of atoms : 3660 (2080 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4398 (1717 ~;1982 |; 538 &)
% ( 161 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 181 ( 179 usr; 180 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5126,plain,
$false,
inference(avatar_sat_refutation,[],[f500,f509,f514,f635,f657,f914,f990,f1027,f1079,f1114,f1123,f1136,f1166,f1185,f1196,f1231,f1245,f1258,f1284,f1290,f1295,f1300,f1325,f1330,f1339,f1357,f1372,f1382,f1437,f1524,f1553,f1560,f1561,f1564,f1591,f1601,f1610,f1616,f1626,f1632,f1637,f1639,f1652,f1667,f1678,f1702,f1714,f1715,f1744,f1749,f1756,f1757,f1774,f1776,f1785,f1786,f1793,f1798,f1801,f1803,f1808,f1815,f1827,f1834,f1844,f1847,f1854,f1877,f1882,f1886,f1887,f1892,f1931,f1932,f1934,f1940,f1967,f1969,f1980,f2014,f2023,f2032,f2051,f2053,f2054,f2055,f2056,f2063,f2073,f2074,f2075,f2076,f2079,f2104,f2123,f2138,f2145,f2150,f2204,f2224,f2230,f2240,f2245,f2266,f2295,f2303,f2317,f2333,f2344,f2357,f2375,f2378,f2388,f2439,f2474,f2477,f2488,f2496,f2509,f2511,f2518,f2520,f2535,f2577,f2581,f2595,f2615,f2693,f2707,f2712,f2728,f2743,f2832,f2841,f2866,f2896,f2897,f2898,f2915,f2922,f2959,f2997,f3082,f3106,f3112,f3116,f3135,f3155,f3160,f3164,f3194,f3257,f3273,f3295,f3410,f3418,f3428,f3445,f3467,f3472,f3474,f3522,f3547,f3552,f3632,f3645,f3662,f3677,f3682,f3704,f3758,f3767,f3783,f3836,f3840,f3880,f3958,f3976,f3981,f3982,f3985,f4002,f4023,f4186,f4234,f4274,f4421,f4425,f4429,f4433,f4449,f4539,f4583,f4598,f4626,f4691,f4701,f4735,f4778,f4790,f4825,f4844,f4865,f4891,f4900,f4919,f4994,f5060]) ).
fof(f5060,plain,
( ~ spl18_136
| spl18_197
| ~ spl18_270 ),
inference(avatar_contradiction_clause,[],[f5059]) ).
fof(f5059,plain,
( $false
| ~ spl18_136
| spl18_197
| ~ spl18_270 ),
inference(subsumption_resolution,[],[f5058,f1323]) ).
fof(f1323,plain,
( e11 != e12
| spl18_197 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1322,plain,
( spl18_197
<=> e11 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_197])]) ).
fof(f5058,plain,
( e11 = e12
| ~ spl18_136
| ~ spl18_270 ),
inference(forward_demodulation,[],[f5057,f151]) ).
fof(f151,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e11,op1(op1(e11,e11),e11))
& e12 = op1(e11,e11)
& e10 = op1(op1(e11,e11),e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f5057,plain,
( e11 = op1(e11,e11)
| ~ spl18_136
| ~ spl18_270 ),
inference(forward_demodulation,[],[f1748,f998]) ).
fof(f998,plain,
( e11 = op1(e11,e12)
| ~ spl18_136 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f996,plain,
( spl18_136
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_136])]) ).
fof(f1748,plain,
( e11 = op1(op1(e11,e12),op1(e11,e12))
| ~ spl18_270 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1746,plain,
( spl18_270
<=> e11 = op1(op1(e11,e12),op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_270])]) ).
fof(f4994,plain,
( spl18_145
| ~ spl18_186
| ~ spl18_217 ),
inference(avatar_split_clause,[],[f4992,f1427,f1255,f1047]) ).
fof(f1047,plain,
( spl18_145
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_145])]) ).
fof(f1255,plain,
( spl18_186
<=> e10 = op1(op1(e10,e12),op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_186])]) ).
fof(f1427,plain,
( spl18_217
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_217])]) ).
fof(f4992,plain,
( e10 = op1(e12,e12)
| ~ spl18_186
| ~ spl18_217 ),
inference(backward_demodulation,[],[f1257,f1429]) ).
fof(f1429,plain,
( e12 = op1(e10,e12)
| ~ spl18_217 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1257,plain,
( e10 = op1(op1(e10,e12),op1(e10,e12))
| ~ spl18_186 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f4919,plain,
( ~ spl18_132
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f4918,f516,f978]) ).
fof(f978,plain,
( spl18_132
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_132])]) ).
fof(f516,plain,
( spl18_28
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f4918,plain,
( e11 != op1(e12,e12)
| ~ spl18_28 ),
inference(forward_demodulation,[],[f366,f518]) ).
fof(f518,plain,
( e11 = op1(e12,e10)
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f366,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e10,e10) != op1(e10,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e13,e10)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e10) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e12) != op1(e11,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f4900,plain,
( ~ spl18_132
| ~ spl18_136 ),
inference(avatar_split_clause,[],[f4899,f996,f978]) ).
fof(f4899,plain,
( e11 != op1(e12,e12)
| ~ spl18_136 ),
inference(forward_demodulation,[],[f374,f998]) ).
fof(f374,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4891,plain,
( spl18_20
| ~ spl18_253
| ~ spl18_261 ),
inference(avatar_contradiction_clause,[],[f4890]) ).
fof(f4890,plain,
( $false
| spl18_20
| ~ spl18_253
| ~ spl18_261 ),
inference(subsumption_resolution,[],[f4298,f481]) ).
fof(f481,plain,
( e13 != op1(e12,e12)
| spl18_20 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl18_20
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
fof(f4298,plain,
( e13 = op1(e12,e12)
| ~ spl18_253
| ~ spl18_261 ),
inference(forward_demodulation,[],[f1615,f1685]) ).
fof(f1685,plain,
( e12 = op1(e13,e10)
| ~ spl18_261 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1683,plain,
( spl18_261
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_261])]) ).
fof(f1615,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| ~ spl18_253 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1613,plain,
( spl18_253
<=> e13 = op1(op1(e13,e10),op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_253])]) ).
fof(f4865,plain,
( ~ spl18_67
| ~ spl18_118
| ~ spl18_133
| spl18_235
| ~ spl18_251 ),
inference(avatar_contradiction_clause,[],[f4864]) ).
fof(f4864,plain,
( $false
| ~ spl18_67
| ~ spl18_118
| ~ spl18_133
| spl18_235
| ~ spl18_251 ),
inference(subsumption_resolution,[],[f4863,f1605]) ).
fof(f1605,plain,
( e22 = op2(e22,e23)
| ~ spl18_251 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f1603,plain,
( spl18_251
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_251])]) ).
fof(f4863,plain,
( e22 != op2(e22,e23)
| ~ spl18_67
| ~ spl18_118
| ~ spl18_133
| spl18_235 ),
inference(forward_demodulation,[],[f4862,f908]) ).
fof(f908,plain,
( e22 = h2(e12)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl18_118
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_118])]) ).
fof(f4862,plain,
( op2(e22,e23) != h2(e12)
| ~ spl18_67
| ~ spl18_118
| ~ spl18_133
| spl18_235 ),
inference(forward_demodulation,[],[f4861,f682]) ).
fof(f682,plain,
( e12 = op1(e12,e13)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl18_67
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f4861,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| ~ spl18_118
| ~ spl18_133
| spl18_235 ),
inference(forward_demodulation,[],[f4860,f908]) ).
fof(f4860,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| ~ spl18_133
| spl18_235 ),
inference(forward_demodulation,[],[f1513,f984]) ).
fof(f984,plain,
( e23 = h2(e13)
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl18_133
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_133])]) ).
fof(f1513,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl18_235 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f1511,plain,
( spl18_235
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_235])]) ).
fof(f4844,plain,
( ~ spl18_118
| ~ spl18_136
| ~ spl18_171
| ~ spl18_194
| spl18_234 ),
inference(avatar_contradiction_clause,[],[f4843]) ).
fof(f4843,plain,
( $false
| ~ spl18_118
| ~ spl18_136
| ~ spl18_171
| ~ spl18_194
| spl18_234 ),
inference(subsumption_resolution,[],[f4842,f1176]) ).
fof(f1176,plain,
( e21 = op2(e21,e22)
| ~ spl18_171 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1174,plain,
( spl18_171
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_171])]) ).
fof(f4842,plain,
( e21 != op2(e21,e22)
| ~ spl18_118
| ~ spl18_136
| ~ spl18_194
| spl18_234 ),
inference(forward_demodulation,[],[f4841,f1298]) ).
fof(f1298,plain,
( e21 = h2(e11)
| ~ spl18_194 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1297,plain,
( spl18_194
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_194])]) ).
fof(f4841,plain,
( op2(e21,e22) != h2(e11)
| ~ spl18_118
| ~ spl18_136
| ~ spl18_194
| spl18_234 ),
inference(forward_demodulation,[],[f4840,f998]) ).
fof(f4840,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| ~ spl18_118
| ~ spl18_194
| spl18_234 ),
inference(forward_demodulation,[],[f4839,f1298]) ).
fof(f4839,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| ~ spl18_118
| spl18_234 ),
inference(forward_demodulation,[],[f1509,f908]) ).
fof(f1509,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl18_234 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl18_234
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_234])]) ).
fof(f4825,plain,
( ~ spl18_95
| ~ spl18_133
| ~ spl18_194
| spl18_233 ),
inference(avatar_contradiction_clause,[],[f4824]) ).
fof(f4824,plain,
( $false
| ~ spl18_95
| ~ spl18_133
| ~ spl18_194
| spl18_233 ),
inference(subsumption_resolution,[],[f4823,f626]) ).
fof(f626,plain,
e23 = op2(e21,e20),
inference(backward_demodulation,[],[f329,f327]) ).
fof(f327,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(e21,op2(op2(e21,e21),e21))
& e22 = op2(e21,e21)
& e20 = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f329,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f4823,plain,
( e23 != op2(e21,e20)
| ~ spl18_95
| ~ spl18_133
| ~ spl18_194
| spl18_233 ),
inference(forward_demodulation,[],[f4822,f984]) ).
fof(f4822,plain,
( op2(e21,e20) != h2(e13)
| ~ spl18_95
| ~ spl18_194
| spl18_233 ),
inference(forward_demodulation,[],[f4821,f810]) ).
fof(f810,plain,
( e13 = op1(e11,e10)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl18_95
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).
fof(f4821,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| ~ spl18_194
| spl18_233 ),
inference(forward_demodulation,[],[f1505,f1298]) ).
fof(f1505,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl18_233 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1503,plain,
( spl18_233
<=> h2(op1(e11,e10)) = op2(h2(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_233])]) ).
fof(f4790,plain,
( ~ spl18_150
| ~ spl18_194
| ~ spl18_202
| spl18_231 ),
inference(avatar_contradiction_clause,[],[f4789]) ).
fof(f4789,plain,
( $false
| ~ spl18_150
| ~ spl18_194
| ~ spl18_202
| spl18_231 ),
inference(subsumption_resolution,[],[f4788,f1074]) ).
fof(f1074,plain,
( e21 = op2(e20,e21)
| ~ spl18_150 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1072,plain,
( spl18_150
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_150])]) ).
fof(f4788,plain,
( e21 != op2(e20,e21)
| ~ spl18_194
| ~ spl18_202
| spl18_231 ),
inference(forward_demodulation,[],[f4787,f1298]) ).
fof(f4787,plain,
( op2(e20,e21) != h2(e11)
| ~ spl18_194
| ~ spl18_202
| spl18_231 ),
inference(forward_demodulation,[],[f4786,f1352]) ).
fof(f1352,plain,
( e11 = op1(e10,e11)
| ~ spl18_202 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl18_202
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_202])]) ).
fof(f4786,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| ~ spl18_194
| spl18_231 ),
inference(forward_demodulation,[],[f1497,f1298]) ).
fof(f1497,plain,
( h2(op1(e10,e11)) != op2(e20,h2(e11))
| spl18_231 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1495,plain,
( spl18_231
<=> h2(op1(e10,e11)) = op2(e20,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_231])]) ).
fof(f4778,plain,
( ~ spl18_133
| spl18_230
| ~ spl18_239
| ~ spl18_265 ),
inference(avatar_contradiction_clause,[],[f4777]) ).
fof(f4777,plain,
( $false
| ~ spl18_133
| spl18_230
| ~ spl18_239
| ~ spl18_265 ),
inference(subsumption_resolution,[],[f4776,f1532]) ).
fof(f1532,plain,
( e23 = op2(e20,e23)
| ~ spl18_239 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1530,plain,
( spl18_239
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_239])]) ).
fof(f4776,plain,
( e23 != op2(e20,e23)
| ~ spl18_133
| spl18_230
| ~ spl18_265 ),
inference(forward_demodulation,[],[f4775,f984]) ).
fof(f4775,plain,
( op2(e20,e23) != h2(e13)
| ~ spl18_133
| spl18_230
| ~ spl18_265 ),
inference(forward_demodulation,[],[f4774,f1713]) ).
fof(f1713,plain,
( e13 = op1(e10,e13)
| ~ spl18_265 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl18_265
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_265])]) ).
fof(f4774,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| ~ spl18_133
| spl18_230 ),
inference(forward_demodulation,[],[f1493,f984]) ).
fof(f1493,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| spl18_230 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1491,plain,
( spl18_230
<=> h2(op1(e10,e13)) = op2(e20,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_230])]) ).
fof(f4735,plain,
( ~ spl18_7
| ~ spl18_20
| ~ spl18_118
| ~ spl18_133
| spl18_229 ),
inference(avatar_contradiction_clause,[],[f4734]) ).
fof(f4734,plain,
( $false
| ~ spl18_7
| ~ spl18_20
| ~ spl18_118
| ~ spl18_133
| spl18_229 ),
inference(subsumption_resolution,[],[f4733,f427]) ).
fof(f427,plain,
( e23 = op2(e22,e22)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl18_7
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f4733,plain,
( e23 != op2(e22,e22)
| ~ spl18_20
| ~ spl18_118
| ~ spl18_133
| spl18_229 ),
inference(forward_demodulation,[],[f4732,f984]) ).
fof(f4732,plain,
( op2(e22,e22) != h2(e13)
| ~ spl18_20
| ~ spl18_118
| spl18_229 ),
inference(forward_demodulation,[],[f4731,f482]) ).
fof(f482,plain,
( e13 = op1(e12,e12)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f4731,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| ~ spl18_118
| spl18_229 ),
inference(forward_demodulation,[],[f1489,f908]) ).
fof(f1489,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl18_229 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1487,plain,
( spl18_229
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_229])]) ).
fof(f4701,plain,
( ~ spl18_14
| ~ spl18_118
| ~ spl18_194
| spl18_228 ),
inference(avatar_contradiction_clause,[],[f4700]) ).
fof(f4700,plain,
( $false
| ~ spl18_14
| ~ spl18_118
| ~ spl18_194
| spl18_228 ),
inference(subsumption_resolution,[],[f4699,f457]) ).
fof(f457,plain,
( e22 = op2(e21,e21)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl18_14
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f4699,plain,
( e22 != op2(e21,e21)
| ~ spl18_118
| ~ spl18_194
| spl18_228 ),
inference(forward_demodulation,[],[f4698,f908]) ).
fof(f4698,plain,
( op2(e21,e21) != h2(e12)
| ~ spl18_194
| spl18_228 ),
inference(forward_demodulation,[],[f1485,f1298]) ).
fof(f1485,plain,
( h2(e12) != op2(h2(e11),h2(e11))
| spl18_228 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1483,plain,
( spl18_228
<=> h2(e12) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_228])]) ).
fof(f4691,plain,
( ~ spl18_118
| ~ spl18_133
| ~ spl18_154
| ~ spl18_187
| spl18_227 ),
inference(avatar_contradiction_clause,[],[f4690]) ).
fof(f4690,plain,
( $false
| ~ spl18_118
| ~ spl18_133
| ~ spl18_154
| ~ spl18_187
| spl18_227 ),
inference(subsumption_resolution,[],[f4689,f1262]) ).
fof(f1262,plain,
( e20 = op2(e23,e22)
| ~ spl18_187 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1260,plain,
( spl18_187
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_187])]) ).
fof(f4689,plain,
( e20 != op2(e23,e22)
| ~ spl18_118
| ~ spl18_133
| ~ spl18_154
| spl18_227 ),
inference(forward_demodulation,[],[f4688,f1275]) ).
fof(f1275,plain,
e20 = h2(e10),
inference(forward_demodulation,[],[f155,f327]) ).
fof(f155,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e21 = h2(e11)
& op2(op2(e21,e21),e21) = h2(e10)
& op2(e21,op2(op2(e21,e21),e21)) = h2(e13)
& op2(e21,e21) = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f4688,plain,
( op2(e23,e22) != h2(e10)
| ~ spl18_118
| ~ spl18_133
| ~ spl18_154
| spl18_227 ),
inference(forward_demodulation,[],[f4687,f1094]) ).
fof(f1094,plain,
( e10 = op1(e13,e12)
| ~ spl18_154 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1092,plain,
( spl18_154
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_154])]) ).
fof(f4687,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| ~ spl18_118
| ~ spl18_133
| spl18_227 ),
inference(forward_demodulation,[],[f4686,f984]) ).
fof(f4686,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl18_118
| spl18_227 ),
inference(forward_demodulation,[],[f1481,f908]) ).
fof(f1481,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl18_227 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1479,plain,
( spl18_227
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_227])]) ).
fof(f4626,plain,
( ~ spl18_126
| ~ spl18_133
| ~ spl18_153
| ~ spl18_194
| spl18_226 ),
inference(avatar_contradiction_clause,[],[f4625]) ).
fof(f4625,plain,
( $false
| ~ spl18_126
| ~ spl18_133
| ~ spl18_153
| ~ spl18_194
| spl18_226 ),
inference(subsumption_resolution,[],[f4624,f955]) ).
fof(f955,plain,
( e23 = op2(e23,e21)
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl18_126
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_126])]) ).
fof(f4624,plain,
( e23 != op2(e23,e21)
| ~ spl18_133
| ~ spl18_153
| ~ spl18_194
| spl18_226 ),
inference(forward_demodulation,[],[f4623,f984]) ).
fof(f4623,plain,
( op2(e23,e21) != h2(e13)
| ~ spl18_133
| ~ spl18_153
| ~ spl18_194
| spl18_226 ),
inference(forward_demodulation,[],[f4622,f1089]) ).
fof(f1089,plain,
( e13 = op1(e13,e11)
| ~ spl18_153 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1087,plain,
( spl18_153
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_153])]) ).
fof(f4622,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl18_133
| ~ spl18_194
| spl18_226 ),
inference(forward_demodulation,[],[f4621,f984]) ).
fof(f4621,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| ~ spl18_194
| spl18_226 ),
inference(forward_demodulation,[],[f1477,f1298]) ).
fof(f1477,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl18_226 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1475,plain,
( spl18_226
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_226])]) ).
fof(f4598,plain,
( ~ spl18_118
| ~ spl18_133
| ~ spl18_206
| spl18_224
| ~ spl18_261 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4597,plain,
( $false
| ~ spl18_118
| ~ spl18_133
| ~ spl18_206
| spl18_224
| ~ spl18_261 ),
inference(subsumption_resolution,[],[f4596,f1371]) ).
fof(f1371,plain,
( e22 = op2(e23,e20)
| ~ spl18_206 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1369,plain,
( spl18_206
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_206])]) ).
fof(f4596,plain,
( e22 != op2(e23,e20)
| ~ spl18_118
| ~ spl18_133
| spl18_224
| ~ spl18_261 ),
inference(forward_demodulation,[],[f4595,f908]) ).
fof(f4595,plain,
( op2(e23,e20) != h2(e12)
| ~ spl18_133
| spl18_224
| ~ spl18_261 ),
inference(forward_demodulation,[],[f4594,f1685]) ).
fof(f4594,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl18_133
| spl18_224 ),
inference(forward_demodulation,[],[f1469,f984]) ).
fof(f1469,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl18_224 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl18_224
<=> h2(op1(e13,e10)) = op2(h2(e13),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_224])]) ).
fof(f4583,plain,
( ~ spl18_118
| ~ spl18_199
| ~ spl18_217
| spl18_223 ),
inference(avatar_contradiction_clause,[],[f4582]) ).
fof(f4582,plain,
( $false
| ~ spl18_118
| ~ spl18_199
| ~ spl18_217
| spl18_223 ),
inference(subsumption_resolution,[],[f4581,f1334]) ).
fof(f1334,plain,
( e22 = op2(e20,e22)
| ~ spl18_199 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1332,plain,
( spl18_199
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_199])]) ).
fof(f4581,plain,
( e22 != op2(e20,e22)
| ~ spl18_118
| ~ spl18_217
| spl18_223 ),
inference(forward_demodulation,[],[f4580,f908]) ).
fof(f4580,plain,
( op2(e20,e22) != h2(e12)
| ~ spl18_118
| ~ spl18_217
| spl18_223 ),
inference(forward_demodulation,[],[f4579,f1429]) ).
fof(f4579,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl18_118
| spl18_223 ),
inference(forward_demodulation,[],[f1465,f908]) ).
fof(f1465,plain,
( h2(op1(e10,e12)) != op2(e20,h2(e12))
| spl18_223 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1463,plain,
( spl18_223
<=> h2(op1(e10,e12)) = op2(e20,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_223])]) ).
fof(f4539,plain,
( ~ spl18_133
| ~ spl18_174
| ~ spl18_178
| ~ spl18_194
| spl18_220 ),
inference(avatar_contradiction_clause,[],[f4538]) ).
fof(f4538,plain,
( $false
| ~ spl18_133
| ~ spl18_174
| ~ spl18_178
| ~ spl18_194
| spl18_220 ),
inference(subsumption_resolution,[],[f4537,f1191]) ).
fof(f1191,plain,
( e21 = op2(e23,e23)
| ~ spl18_174 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1189,plain,
( spl18_174
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_174])]) ).
fof(f4537,plain,
( e21 != op2(e23,e23)
| ~ spl18_133
| ~ spl18_178
| ~ spl18_194
| spl18_220 ),
inference(forward_demodulation,[],[f4536,f1298]) ).
fof(f4536,plain,
( op2(e23,e23) != h2(e11)
| ~ spl18_133
| ~ spl18_178
| spl18_220 ),
inference(forward_demodulation,[],[f4535,f1208]) ).
fof(f1208,plain,
( e11 = op1(e13,e13)
| ~ spl18_178 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl18_178
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_178])]) ).
fof(f4535,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| ~ spl18_133
| spl18_220 ),
inference(forward_demodulation,[],[f1453,f984]) ).
fof(f1453,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl18_220 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1451,plain,
( spl18_220
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_220])]) ).
fof(f4449,plain,
( ~ spl18_7
| spl18_189
| ~ spl18_238
| ~ spl18_277 ),
inference(avatar_contradiction_clause,[],[f4448]) ).
fof(f4448,plain,
( $false
| ~ spl18_7
| spl18_189
| ~ spl18_238
| ~ spl18_277 ),
inference(subsumption_resolution,[],[f4447,f1272]) ).
fof(f1272,plain,
( e20 != e23
| spl18_189 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1270,plain,
( spl18_189
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_189])]) ).
fof(f4447,plain,
( e20 = e23
| ~ spl18_7
| ~ spl18_238
| ~ spl18_277 ),
inference(forward_demodulation,[],[f4366,f427]) ).
fof(f4366,plain,
( e20 = op2(e22,e22)
| ~ spl18_238
| ~ spl18_277 ),
inference(backward_demodulation,[],[f1807,f1528]) ).
fof(f1528,plain,
( e22 = op2(e20,e23)
| ~ spl18_238 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1526,plain,
( spl18_238
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_238])]) ).
fof(f1807,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| ~ spl18_277 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f1805,plain,
( spl18_277
<=> e20 = op2(op2(e20,e23),op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_277])]) ).
fof(f4433,plain,
( ~ spl18_200
| ~ spl18_243 ),
inference(avatar_split_clause,[],[f4432,f1550,f1336]) ).
fof(f1336,plain,
( spl18_200
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_200])]) ).
fof(f1550,plain,
( spl18_243
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_243])]) ).
fof(f4432,plain,
( e23 != op2(e20,e22)
| ~ spl18_243 ),
inference(forward_demodulation,[],[f1167,f1552]) ).
fof(f1552,plain,
( e23 = h3(e12)
| ~ spl18_243 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1167,plain,
op2(e20,e22) != h3(e12),
inference(forward_demodulation,[],[f206,f348]) ).
fof(f348,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e22 = h3(e11)
& op2(e22,e22) = h3(e12)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22))
& h3(e10) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e21,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e23) != op2(e22,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e22,e22) != op2(e22,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f4429,plain,
( spl18_7
| ~ spl18_243 ),
inference(avatar_split_clause,[],[f4426,f1550,f425]) ).
fof(f4426,plain,
( e23 = op2(e22,e22)
| ~ spl18_243 ),
inference(backward_demodulation,[],[f348,f1552]) ).
fof(f4425,plain,
( ~ spl18_164
| ~ spl18_169
| spl18_225 ),
inference(avatar_contradiction_clause,[],[f4424]) ).
fof(f4424,plain,
( $false
| ~ spl18_164
| ~ spl18_169
| spl18_225 ),
inference(subsumption_resolution,[],[f4423,f1140]) ).
fof(f1140,plain,
( e20 = op2(e20,e20)
| ~ spl18_164 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1138,plain,
( spl18_164
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_164])]) ).
fof(f4423,plain,
( e20 != op2(e20,e20)
| ~ spl18_169
| spl18_225 ),
inference(forward_demodulation,[],[f4422,f1275]) ).
fof(f4422,plain,
( op2(e20,e20) != h2(e10)
| ~ spl18_169
| spl18_225 ),
inference(forward_demodulation,[],[f1473,f1163]) ).
fof(f1163,plain,
( e10 = op1(e10,e10)
| ~ spl18_169 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1161,plain,
( spl18_169
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_169])]) ).
fof(f1473,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl18_225 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1471,plain,
( spl18_225
<=> op2(e20,e20) = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_225])]) ).
fof(f4421,plain,
( spl18_243
| ~ spl18_22
| ~ spl18_206 ),
inference(avatar_split_clause,[],[f4169,f1369,f489,f1550]) ).
fof(f489,plain,
( spl18_22
<=> e23 = op2(op2(e23,e20),op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f4169,plain,
( e23 = h3(e12)
| ~ spl18_22
| ~ spl18_206 ),
inference(forward_demodulation,[],[f4168,f348]) ).
fof(f4168,plain,
( e23 = op2(e22,e22)
| ~ spl18_22
| ~ spl18_206 ),
inference(forward_demodulation,[],[f491,f1371]) ).
fof(f491,plain,
( e23 = op2(op2(e23,e20),op2(e23,e20))
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f4274,plain,
( ~ spl18_28
| ~ spl18_118
| ~ spl18_141
| ~ spl18_194
| spl18_222 ),
inference(avatar_contradiction_clause,[],[f4273]) ).
fof(f4273,plain,
( $false
| ~ spl18_28
| ~ spl18_118
| ~ spl18_141
| ~ spl18_194
| spl18_222 ),
inference(subsumption_resolution,[],[f4271,f1298]) ).
fof(f4271,plain,
( e21 != h2(e11)
| ~ spl18_28
| ~ spl18_118
| ~ spl18_141
| spl18_222 ),
inference(backward_demodulation,[],[f4227,f518]) ).
fof(f4227,plain,
( e21 != h2(op1(e12,e10))
| ~ spl18_118
| ~ spl18_141
| spl18_222 ),
inference(forward_demodulation,[],[f2904,f1022]) ).
fof(f1022,plain,
( e21 = op2(e22,e20)
| ~ spl18_141 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl18_141
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_141])]) ).
fof(f2904,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl18_118
| spl18_222 ),
inference(forward_demodulation,[],[f1461,f908]) ).
fof(f1461,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl18_222 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl18_222
<=> h2(op1(e12,e10)) = op2(h2(e12),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_222])]) ).
fof(f4234,plain,
( ~ spl18_130
| ~ spl18_178 ),
inference(avatar_split_clause,[],[f4233,f1206,f970]) ).
fof(f970,plain,
( spl18_130
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_130])]) ).
fof(f4233,plain,
( e11 != op1(e12,e13)
| ~ spl18_178 ),
inference(backward_demodulation,[],[f364,f1208]) ).
fof(f364,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4186,plain,
( spl18_178
| ~ spl18_55
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f4185,f808,f628,f1206]) ).
fof(f628,plain,
( spl18_55
<=> e11 = op1(op1(e11,e10),op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).
fof(f4185,plain,
( e11 = op1(e13,e13)
| ~ spl18_55
| ~ spl18_95 ),
inference(forward_demodulation,[],[f630,f810]) ).
fof(f630,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f4023,plain,
( ~ spl18_20
| ~ spl18_208
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4022,plain,
( $false
| ~ spl18_20
| ~ spl18_208
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4021,f325]) ).
fof(f325,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e12
& e10 != e13
& e10 != e12
& e12 != e13
& e11 != e13
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f4021,plain,
( e10 = e13
| ~ spl18_20
| ~ spl18_208
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4020,f482]) ).
fof(f4020,plain,
( e10 = op1(e12,e12)
| ~ spl18_208
| ~ spl18_246 ),
inference(forward_demodulation,[],[f1381,f1582]) ).
fof(f1582,plain,
( e12 = op1(e10,e13)
| ~ spl18_246 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1580,plain,
( spl18_246
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_246])]) ).
fof(f1381,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| ~ spl18_208 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl18_208
<=> e10 = op1(op1(e10,e13),op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_208])]) ).
fof(f4002,plain,
( spl18_9
| ~ spl18_190
| ~ spl18_288 ),
inference(avatar_split_clause,[],[f4001,f1879,f1277,f433]) ).
fof(f433,plain,
( spl18_9
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f1277,plain,
( spl18_190
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_190])]) ).
fof(f1879,plain,
( spl18_288
<=> e20 = op2(op2(e20,e20),op2(e20,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_288])]) ).
fof(f4001,plain,
( e20 = op2(e22,e22)
| ~ spl18_190
| ~ spl18_288 ),
inference(forward_demodulation,[],[f1881,f1279]) ).
fof(f1279,plain,
( op2(e20,e20) = e22
| ~ spl18_190 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1881,plain,
( e20 = op2(op2(e20,e20),op2(e20,e20))
| ~ spl18_288 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f3985,plain,
( ~ spl18_153
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f3984,f1083,f1087]) ).
fof(f1083,plain,
( spl18_152
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_152])]) ).
fof(f3984,plain,
( e13 != op1(e13,e11)
| ~ spl18_152 ),
inference(backward_demodulation,[],[f378,f1085]) ).
fof(f1085,plain,
( e13 = op1(e10,e11)
| ~ spl18_152 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f378,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3982,plain,
( spl18_31
| ~ spl18_1
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f3979,f502,f399,f528]) ).
fof(f528,plain,
( spl18_31
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
fof(f399,plain,
( spl18_1
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f502,plain,
( spl18_25
<=> e11 = op1(op1(e11,e13),op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f3979,plain,
( op1(e10,e10) = e11
| ~ spl18_1
| ~ spl18_25 ),
inference(backward_demodulation,[],[f504,f401]) ).
fof(f401,plain,
( e10 = op1(e11,e13)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f504,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f3981,plain,
( ~ spl18_1
| ~ spl18_64
| ~ spl18_133
| ~ spl18_194
| spl18_221 ),
inference(avatar_contradiction_clause,[],[f3980]) ).
fof(f3980,plain,
( $false
| ~ spl18_1
| ~ spl18_64
| ~ spl18_133
| ~ spl18_194
| spl18_221 ),
inference(subsumption_resolution,[],[f3977,f1275]) ).
fof(f3977,plain,
( e20 != h2(e10)
| ~ spl18_1
| ~ spl18_64
| ~ spl18_133
| ~ spl18_194
| spl18_221 ),
inference(backward_demodulation,[],[f3974,f401]) ).
fof(f3974,plain,
( e20 != h2(op1(e11,e13))
| ~ spl18_64
| ~ spl18_133
| ~ spl18_194
| spl18_221 ),
inference(forward_demodulation,[],[f3598,f669]) ).
fof(f669,plain,
( e20 = op2(e21,e23)
| ~ spl18_64 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl18_64
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).
fof(f3598,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl18_133
| ~ spl18_194
| spl18_221 ),
inference(forward_demodulation,[],[f3597,f1298]) ).
fof(f3597,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| ~ spl18_133
| spl18_221 ),
inference(forward_demodulation,[],[f1457,f984]) ).
fof(f1457,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl18_221 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl18_221
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_221])]) ).
fof(f3976,plain,
( ~ spl18_187
| ~ spl18_244 ),
inference(avatar_split_clause,[],[f3975,f1556,f1260]) ).
fof(f1556,plain,
( spl18_244
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_244])]) ).
fof(f3975,plain,
( e20 != op2(e23,e22)
| ~ spl18_244 ),
inference(forward_demodulation,[],[f223,f1558]) ).
fof(f1558,plain,
( e20 = op2(e23,e20)
| ~ spl18_244 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f223,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3958,plain,
( ~ spl18_59
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f3957,f480,f646]) ).
fof(f646,plain,
( spl18_59
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f3957,plain,
( e13 != op1(e12,e13)
| ~ spl18_20 ),
inference(backward_demodulation,[],[f386,f482]) ).
fof(f386,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3880,plain,
( ~ spl18_14
| ~ spl18_27
| ~ spl18_171 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
fof(f3879,plain,
( $false
| ~ spl18_14
| ~ spl18_27
| ~ spl18_171 ),
inference(subsumption_resolution,[],[f3878,f62]) ).
fof(f62,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e22
& e20 != e21
& e22 != e23
& e21 != e22
& e21 != e23
& e20 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f3878,plain,
( e21 = e22
| ~ spl18_14
| ~ spl18_27
| ~ spl18_171 ),
inference(forward_demodulation,[],[f3877,f457]) ).
fof(f3877,plain,
( e21 = op2(e21,e21)
| ~ spl18_27
| ~ spl18_171 ),
inference(forward_demodulation,[],[f513,f1176]) ).
fof(f513,plain,
( e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl18_27
<=> e21 = op2(op2(e21,e22),op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f3840,plain,
( ~ spl18_165
| ~ spl18_190
| ~ spl18_287 ),
inference(avatar_contradiction_clause,[],[f3839]) ).
fof(f3839,plain,
( $false
| ~ spl18_165
| ~ spl18_190
| ~ spl18_287 ),
inference(subsumption_resolution,[],[f3838,f65]) ).
fof(f65,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3838,plain,
( e20 = e22
| ~ spl18_165
| ~ spl18_190
| ~ spl18_287 ),
inference(forward_demodulation,[],[f3837,f1279]) ).
fof(f3837,plain,
( e20 = op2(e20,e20)
| ~ spl18_165
| ~ spl18_287 ),
inference(forward_demodulation,[],[f1876,f1144]) ).
fof(f1144,plain,
( e20 = op2(e20,e22)
| ~ spl18_165 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1142,plain,
( spl18_165
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_165])]) ).
fof(f1876,plain,
( e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ spl18_287 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f1874,plain,
( spl18_287
<=> e20 = op2(op2(e20,e22),op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_287])]) ).
fof(f3836,plain,
( ~ spl18_63
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f3835,f790,f663]) ).
fof(f663,plain,
( spl18_63
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
fof(f790,plain,
( spl18_91
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_91])]) ).
fof(f3835,plain,
( e20 != op2(e22,e23)
| ~ spl18_91 ),
inference(forward_demodulation,[],[f221,f792]) ).
fof(f792,plain,
( e20 = op2(e22,e21)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f221,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3783,plain,
( ~ spl18_202
| ~ spl18_269 ),
inference(avatar_contradiction_clause,[],[f3782]) ).
fof(f3782,plain,
( $false
| ~ spl18_202
| ~ spl18_269 ),
inference(subsumption_resolution,[],[f3781,f324]) ).
fof(f324,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3781,plain,
( e10 = e12
| ~ spl18_202
| ~ spl18_269 ),
inference(forward_demodulation,[],[f3780,f151]) ).
fof(f3780,plain,
( e10 = op1(e11,e11)
| ~ spl18_202
| ~ spl18_269 ),
inference(forward_demodulation,[],[f1743,f1352]) ).
fof(f1743,plain,
( e10 = op1(op1(e10,e11),op1(e10,e11))
| ~ spl18_269 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl18_269
<=> e10 = op1(op1(e10,e11),op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_269])]) ).
fof(f3767,plain,
( ~ spl18_252
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f3766,f1020,f1607]) ).
fof(f1607,plain,
( spl18_252
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_252])]) ).
fof(f3766,plain,
( e21 != op2(e22,e23)
| ~ spl18_141 ),
inference(forward_demodulation,[],[f231,f1022]) ).
fof(f231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3758,plain,
( spl18_264
| ~ spl18_190
| ~ spl18_210 ),
inference(avatar_split_clause,[],[f3757,f1398,f1277,f1706]) ).
fof(f1706,plain,
( spl18_264
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_264])]) ).
fof(f1398,plain,
( spl18_210
<=> op2(e20,e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_210])]) ).
fof(f3757,plain,
( e22 = h1(e12)
| ~ spl18_190
| ~ spl18_210 ),
inference(forward_demodulation,[],[f1399,f1279]) ).
fof(f1399,plain,
( op2(e20,e20) = h1(e12)
| ~ spl18_210 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f3704,plain,
( ~ spl18_9
| spl18_282 ),
inference(avatar_contradiction_clause,[],[f3703]) ).
fof(f3703,plain,
( $false
| ~ spl18_9
| spl18_282 ),
inference(subsumption_resolution,[],[f3702,f1838]) ).
fof(f1838,plain,
( e20 != h3(e12)
| spl18_282 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1836,plain,
( spl18_282
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_282])]) ).
fof(f3702,plain,
( e20 = h3(e12)
| ~ spl18_9 ),
inference(forward_demodulation,[],[f435,f348]) ).
fof(f435,plain,
( e20 = op2(e22,e22)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f3682,plain,
( spl18_282
| ~ spl18_199
| ~ spl18_287 ),
inference(avatar_split_clause,[],[f3681,f1874,f1332,f1836]) ).
fof(f3681,plain,
( e20 = h3(e12)
| ~ spl18_199
| ~ spl18_287 ),
inference(forward_demodulation,[],[f3510,f348]) ).
fof(f3510,plain,
( e20 = op2(e22,e22)
| ~ spl18_199
| ~ spl18_287 ),
inference(forward_demodulation,[],[f1876,f1334]) ).
fof(f3677,plain,
( ~ spl18_203
| ~ spl18_255 ),
inference(avatar_contradiction_clause,[],[f3676]) ).
fof(f3676,plain,
( $false
| ~ spl18_203
| ~ spl18_255 ),
inference(subsumption_resolution,[],[f3675,f323]) ).
fof(f323,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3675,plain,
( e12 = e13
| ~ spl18_203
| ~ spl18_255 ),
inference(forward_demodulation,[],[f3674,f151]) ).
fof(f3674,plain,
( e13 = op1(e11,e11)
| ~ spl18_203
| ~ spl18_255 ),
inference(forward_demodulation,[],[f1636,f1356]) ).
fof(f1356,plain,
( e11 = op1(e13,e11)
| ~ spl18_203 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl18_203
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_203])]) ).
fof(f1636,plain,
( e13 = op1(op1(e13,e11),op1(e13,e11))
| ~ spl18_255 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1634,plain,
( spl18_255
<=> e13 = op1(op1(e13,e11),op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_255])]) ).
fof(f3662,plain,
( spl18_139
| ~ spl18_64
| ~ spl18_193 ),
inference(avatar_split_clause,[],[f3493,f1292,f667,f1012]) ).
fof(f1012,plain,
( spl18_139
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_139])]) ).
fof(f1292,plain,
( spl18_193
<=> e21 = op2(op2(e21,e23),op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_193])]) ).
fof(f3493,plain,
( op2(e20,e20) = e21
| ~ spl18_64
| ~ spl18_193 ),
inference(forward_demodulation,[],[f1294,f669]) ).
fof(f1294,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| ~ spl18_193 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f3645,plain,
( ~ spl18_172
| spl18_8 ),
inference(avatar_split_clause,[],[f3644,f429,f1178]) ).
fof(f1178,plain,
( spl18_172
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_172])]) ).
fof(f429,plain,
( spl18_8
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f3644,plain,
( e21 != h3(e12)
| spl18_8 ),
inference(forward_demodulation,[],[f430,f348]) ).
fof(f430,plain,
( e21 != op2(e22,e22)
| spl18_8 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3632,plain,
( ~ spl18_172
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f3631,f1020,f1178]) ).
fof(f3631,plain,
( e21 != h3(e12)
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1065,f1022]) ).
fof(f1065,plain,
op2(e22,e20) != h3(e12),
inference(forward_demodulation,[],[f234,f348]) ).
fof(f234,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3552,plain,
( ~ spl18_176
| spl18_257 ),
inference(avatar_contradiction_clause,[],[f3551]) ).
fof(f3551,plain,
( $false
| ~ spl18_176
| spl18_257 ),
inference(subsumption_resolution,[],[f3550,f1200]) ).
fof(f1200,plain,
( e13 = op1(e13,e13)
| ~ spl18_176 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1198,plain,
( spl18_176
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_176])]) ).
fof(f3550,plain,
( e13 != op1(e13,e13)
| ~ spl18_176
| spl18_257 ),
inference(backward_demodulation,[],[f1650,f1200]) ).
fof(f1650,plain,
( e13 != op1(op1(e13,e13),op1(e13,e13))
| spl18_257 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1649,plain,
( spl18_257
<=> e13 = op1(op1(e13,e13),op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_257])]) ).
fof(f3547,plain,
( ~ spl18_176
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f3546,f646,f1198]) ).
fof(f3546,plain,
( e13 != op1(e13,e13)
| ~ spl18_59 ),
inference(backward_demodulation,[],[f364,f648]) ).
fof(f648,plain,
( e13 = op1(e12,e13)
| ~ spl18_59 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f3522,plain,
( spl18_176
| ~ spl18_19
| ~ spl18_198 ),
inference(avatar_split_clause,[],[f3244,f1327,f476,f1198]) ).
fof(f476,plain,
( spl18_19
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
fof(f1327,plain,
( spl18_198
<=> e13 = op1(op1(e13,e12),op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_198])]) ).
fof(f3244,plain,
( e13 = op1(e13,e13)
| ~ spl18_19
| ~ spl18_198 ),
inference(forward_demodulation,[],[f1329,f478]) ).
fof(f478,plain,
( e13 = op1(e13,e12)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f1329,plain,
( e13 = op1(op1(e13,e12),op1(e13,e12))
| ~ spl18_198 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f3474,plain,
( ~ spl18_67
| ~ spl18_69 ),
inference(avatar_split_clause,[],[f3473,f688,f680]) ).
fof(f688,plain,
( spl18_69
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_69])]) ).
fof(f3473,plain,
( e12 != op1(e12,e13)
| ~ spl18_69 ),
inference(forward_demodulation,[],[f376,f690]) ).
fof(f690,plain,
( e12 = op1(e12,e10)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f376,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3472,plain,
( ~ spl18_171
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f3471]) ).
fof(f3471,plain,
( $false
| ~ spl18_171
| ~ spl18_276 ),
inference(subsumption_resolution,[],[f3470,f64]) ).
fof(f64,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f3470,plain,
( e20 = e21
| ~ spl18_171
| ~ spl18_276 ),
inference(forward_demodulation,[],[f1176,f1797]) ).
fof(f1797,plain,
( e20 = op2(e21,e22)
| ~ spl18_276 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1795,plain,
( spl18_276
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_276])]) ).
fof(f3467,plain,
( ~ spl18_178
| ~ spl18_203 ),
inference(avatar_split_clause,[],[f3466,f1354,f1206]) ).
fof(f3466,plain,
( e11 != op1(e13,e13)
| ~ spl18_203 ),
inference(forward_demodulation,[],[f396,f1356]) ).
fof(f396,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3445,plain,
( ~ spl18_178
| ~ spl18_184 ),
inference(avatar_split_clause,[],[f3444,f1242,f1206]) ).
fof(f1242,plain,
( spl18_184
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_184])]) ).
fof(f3444,plain,
( e11 != op1(e13,e13)
| ~ spl18_184 ),
inference(forward_demodulation,[],[f359,f1244]) ).
fof(f1244,plain,
( e11 = op1(e11,e13)
| ~ spl18_184 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f359,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3428,plain,
( ~ spl18_27
| ~ spl18_190
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f3427]) ).
fof(f3427,plain,
( $false
| ~ spl18_27
| ~ spl18_190
| ~ spl18_276 ),
inference(subsumption_resolution,[],[f3426,f62]) ).
fof(f3426,plain,
( e21 = e22
| ~ spl18_27
| ~ spl18_190
| ~ spl18_276 ),
inference(forward_demodulation,[],[f2863,f1279]) ).
fof(f2863,plain,
( op2(e20,e20) = e21
| ~ spl18_27
| ~ spl18_276 ),
inference(forward_demodulation,[],[f513,f1797]) ).
fof(f3418,plain,
( ~ spl18_14
| spl18_76
| ~ spl18_158
| ~ spl18_173 ),
inference(avatar_contradiction_clause,[],[f3417]) ).
fof(f3417,plain,
( $false
| ~ spl18_14
| spl18_76
| ~ spl18_158
| ~ spl18_173 ),
inference(subsumption_resolution,[],[f3416,f727]) ).
fof(f727,plain,
( e22 != e23
| spl18_76 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f725,plain,
( spl18_76
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f3416,plain,
( e22 = e23
| ~ spl18_14
| ~ spl18_158
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3415,f457]) ).
fof(f3415,plain,
( e23 = op2(e21,e21)
| ~ spl18_158
| ~ spl18_173 ),
inference(forward_demodulation,[],[f1113,f1184]) ).
fof(f1184,plain,
( e21 = op2(e23,e22)
| ~ spl18_173 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1182,plain,
( spl18_173
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_173])]) ).
fof(f1113,plain,
( e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ spl18_158 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1111,plain,
( spl18_158
<=> e23 = op2(op2(e23,e22),op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_158])]) ).
fof(f3410,plain,
( ~ spl18_59
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f3409]) ).
fof(f3409,plain,
( $false
| ~ spl18_59
| ~ spl18_67 ),
inference(subsumption_resolution,[],[f3408,f323]) ).
fof(f3408,plain,
( e12 = e13
| ~ spl18_59
| ~ spl18_67 ),
inference(forward_demodulation,[],[f648,f682]) ).
fof(f3295,plain,
( spl18_31
| ~ spl18_2
| ~ spl18_270 ),
inference(avatar_split_clause,[],[f3157,f1746,f403,f528]) ).
fof(f403,plain,
( spl18_2
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f3157,plain,
( op1(e10,e10) = e11
| ~ spl18_2
| ~ spl18_270 ),
inference(forward_demodulation,[],[f1748,f405]) ).
fof(f405,plain,
( e10 = op1(e11,e12)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f3273,plain,
( ~ spl18_246
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3016,f680,f1580]) ).
fof(f3016,plain,
( e12 != op1(e10,e13)
| ~ spl18_67 ),
inference(forward_demodulation,[],[f352,f682]) ).
fof(f352,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3257,plain,
( ~ spl18_164
| ~ spl18_244 ),
inference(avatar_split_clause,[],[f3256,f1556,f1138]) ).
fof(f3256,plain,
( e20 != op2(e20,e20)
| ~ spl18_244 ),
inference(forward_demodulation,[],[f226,f1558]) ).
fof(f226,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3194,plain,
( spl18_66
| ~ spl18_67
| ~ spl18_218 ),
inference(avatar_split_clause,[],[f3010,f1434,f680,f676]) ).
fof(f676,plain,
( spl18_66
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).
fof(f1434,plain,
( spl18_218
<=> e12 = op1(op1(e12,e13),op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_218])]) ).
fof(f3010,plain,
( e12 = op1(e12,e12)
| ~ spl18_67
| ~ spl18_218 ),
inference(backward_demodulation,[],[f1436,f682]) ).
fof(f1436,plain,
( e12 = op1(op1(e12,e13),op1(e12,e13))
| ~ spl18_218 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f3164,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3163,f680,f676]) ).
fof(f3163,plain,
( e12 != op1(e12,e12)
| ~ spl18_67 ),
inference(forward_demodulation,[],[f386,f682]) ).
fof(f3160,plain,
( ~ spl18_2
| spl18_197
| ~ spl18_248
| ~ spl18_270 ),
inference(avatar_contradiction_clause,[],[f3159]) ).
fof(f3159,plain,
( $false
| ~ spl18_2
| spl18_197
| ~ spl18_248
| ~ spl18_270 ),
inference(subsumption_resolution,[],[f3158,f1323]) ).
fof(f3158,plain,
( e11 = e12
| ~ spl18_2
| ~ spl18_248
| ~ spl18_270 ),
inference(forward_demodulation,[],[f3157,f1590]) ).
fof(f1590,plain,
( op1(e10,e10) = e12
| ~ spl18_248 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1588,plain,
( spl18_248
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_248])]) ).
fof(f3155,plain,
( spl18_145
| ~ spl18_192
| ~ spl18_248 ),
inference(avatar_split_clause,[],[f3152,f1588,f1287,f1047]) ).
fof(f1287,plain,
( spl18_192
<=> e10 = op1(op1(e10,e10),op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_192])]) ).
fof(f3152,plain,
( e10 = op1(e12,e12)
| ~ spl18_192
| ~ spl18_248 ),
inference(backward_demodulation,[],[f1289,f1590]) ).
fof(f1289,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| ~ spl18_192 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f3135,plain,
( ~ spl18_14
| ~ spl18_160
| ~ spl18_193 ),
inference(avatar_contradiction_clause,[],[f3134]) ).
fof(f3134,plain,
( $false
| ~ spl18_14
| ~ spl18_160
| ~ spl18_193 ),
inference(subsumption_resolution,[],[f3133,f62]) ).
fof(f3133,plain,
( e21 = e22
| ~ spl18_14
| ~ spl18_160
| ~ spl18_193 ),
inference(forward_demodulation,[],[f3132,f457]) ).
fof(f3132,plain,
( e21 = op2(e21,e21)
| ~ spl18_160
| ~ spl18_193 ),
inference(forward_demodulation,[],[f1294,f1122]) ).
fof(f1122,plain,
( e21 = op2(e21,e23)
| ~ spl18_160 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl18_160
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_160])]) ).
fof(f3116,plain,
( ~ spl18_178
| ~ spl18_257 ),
inference(avatar_contradiction_clause,[],[f3115]) ).
fof(f3115,plain,
( $false
| ~ spl18_178
| ~ spl18_257 ),
inference(subsumption_resolution,[],[f3114,f323]) ).
fof(f3114,plain,
( e12 = e13
| ~ spl18_178
| ~ spl18_257 ),
inference(forward_demodulation,[],[f3113,f151]) ).
fof(f3113,plain,
( e13 = op1(e11,e11)
| ~ spl18_178
| ~ spl18_257 ),
inference(forward_demodulation,[],[f1651,f1208]) ).
fof(f1651,plain,
( e13 = op1(op1(e13,e13),op1(e13,e13))
| ~ spl18_257 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f3112,plain,
( ~ spl18_61
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl18_61
| ~ spl18_157 ),
inference(subsumption_resolution,[],[f3110,f325]) ).
fof(f3110,plain,
( e10 = e13
| ~ spl18_61
| ~ spl18_157 ),
inference(forward_demodulation,[],[f656,f1108]) ).
fof(f1108,plain,
( e10 = op1(e12,e11)
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1106,plain,
( spl18_157
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_157])]) ).
fof(f656,plain,
( e13 = op1(e12,e11)
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl18_61
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f3106,plain,
( ~ spl18_145
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f3105,f1106,f1047]) ).
fof(f3105,plain,
( e10 != op1(e12,e12)
| ~ spl18_157 ),
inference(forward_demodulation,[],[f362,f1108]) ).
fof(f362,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3082,plain,
( ~ spl18_55
| ~ spl18_95
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3081]) ).
fof(f3081,plain,
( $false
| ~ spl18_55
| ~ spl18_95
| ~ spl18_163 ),
inference(subsumption_resolution,[],[f3080,f321]) ).
fof(f321,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f3080,plain,
( e10 = e11
| ~ spl18_55
| ~ spl18_95
| ~ spl18_163 ),
inference(forward_demodulation,[],[f3079,f1135]) ).
fof(f1135,plain,
( e10 = op1(e13,e13)
| ~ spl18_163 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1133,plain,
( spl18_163
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_163])]) ).
fof(f3079,plain,
( e11 = op1(e13,e13)
| ~ spl18_55
| ~ spl18_95 ),
inference(forward_demodulation,[],[f630,f810]) ).
fof(f2997,plain,
( ~ spl18_126
| ~ spl18_151 ),
inference(avatar_split_clause,[],[f2996,f1076,f953]) ).
fof(f1076,plain,
( spl18_151
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_151])]) ).
fof(f2996,plain,
( e23 != op2(e23,e21)
| ~ spl18_151 ),
inference(forward_demodulation,[],[f225,f1078]) ).
fof(f1078,plain,
( e23 = op2(e20,e21)
| ~ spl18_151 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f225,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2959,plain,
( ~ spl18_136
| ~ spl18_184 ),
inference(avatar_split_clause,[],[f2958,f1242,f996]) ).
fof(f2958,plain,
( e11 != op1(e11,e12)
| ~ spl18_184 ),
inference(forward_demodulation,[],[f393,f1244]) ).
fof(f393,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2922,plain,
( ~ spl18_130
| ~ spl18_184 ),
inference(avatar_split_clause,[],[f2921,f1242,f970]) ).
fof(f2921,plain,
( e11 != op1(e12,e13)
| ~ spl18_184 ),
inference(forward_demodulation,[],[f395,f1244]) ).
fof(f395,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2915,plain,
( ~ spl18_30
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f2914,f516,f524]) ).
fof(f524,plain,
( spl18_30
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
fof(f2914,plain,
( e11 != op1(e13,e10)
| ~ spl18_28 ),
inference(forward_demodulation,[],[f379,f518]) ).
fof(f379,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2898,plain,
( ~ spl18_146
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f2627,f790,f1052]) ).
fof(f1052,plain,
( spl18_146
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_146])]) ).
fof(f2627,plain,
( e20 != op2(e20,e21)
| ~ spl18_91 ),
inference(forward_demodulation,[],[f246,f792]) ).
fof(f246,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2897,plain,
( ~ spl18_142
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2895,f1012,f1024]) ).
fof(f1024,plain,
( spl18_142
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).
fof(f2895,plain,
( e21 != op2(e23,e20)
| ~ spl18_139 ),
inference(backward_demodulation,[],[f226,f1014]) ).
fof(f1014,plain,
( op2(e20,e20) = e21
| ~ spl18_139 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f2896,plain,
( ~ spl18_170
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2894,f1012,f1170]) ).
fof(f1170,plain,
( spl18_170
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_170])]) ).
fof(f2894,plain,
( e21 != op2(e20,e22)
| ~ spl18_139 ),
inference(backward_demodulation,[],[f235,f1014]) ).
fof(f235,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2866,plain,
( ~ spl18_27
| ~ spl18_164
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f2865,plain,
( $false
| ~ spl18_27
| ~ spl18_164
| ~ spl18_276 ),
inference(subsumption_resolution,[],[f2864,f64]) ).
fof(f2864,plain,
( e20 = e21
| ~ spl18_27
| ~ spl18_164
| ~ spl18_276 ),
inference(forward_demodulation,[],[f2863,f1140]) ).
fof(f2841,plain,
( ~ spl18_208
| ~ spl18_250 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
fof(f2840,plain,
( $false
| ~ spl18_208
| ~ spl18_250 ),
inference(subsumption_resolution,[],[f2839,f324]) ).
fof(f2839,plain,
( e10 = e12
| ~ spl18_208
| ~ spl18_250 ),
inference(forward_demodulation,[],[f2838,f151]) ).
fof(f2838,plain,
( e10 = op1(e11,e11)
| ~ spl18_208
| ~ spl18_250 ),
inference(backward_demodulation,[],[f1381,f1600]) ).
fof(f1600,plain,
( e11 = op1(e10,e13)
| ~ spl18_250 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl18_250
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_250])]) ).
fof(f2832,plain,
( ~ spl18_265
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f2831,f1083,f1711]) ).
fof(f2831,plain,
( e13 != op1(e10,e13)
| ~ spl18_152 ),
inference(backward_demodulation,[],[f360,f1085]) ).
fof(f360,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2743,plain,
( ~ spl18_8
| spl18_140
| ~ spl18_158
| ~ spl18_188 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
fof(f2742,plain,
( $false
| ~ spl18_8
| spl18_140
| ~ spl18_158
| ~ spl18_188 ),
inference(subsumption_resolution,[],[f2741,f1017]) ).
fof(f1017,plain,
( e21 != e23
| spl18_140 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl18_140
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_140])]) ).
fof(f2741,plain,
( e21 = e23
| ~ spl18_8
| ~ spl18_158
| ~ spl18_188 ),
inference(forward_demodulation,[],[f2740,f431]) ).
fof(f431,plain,
( e21 = op2(e22,e22)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f2740,plain,
( e23 = op2(e22,e22)
| ~ spl18_158
| ~ spl18_188 ),
inference(backward_demodulation,[],[f1113,f1266]) ).
fof(f1266,plain,
( e22 = op2(e23,e22)
| ~ spl18_188 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl18_188
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_188])]) ).
fof(f2728,plain,
( ~ spl18_60
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f2727,f808,f650]) ).
fof(f650,plain,
( spl18_60
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f2727,plain,
( e13 != op1(e12,e10)
| ~ spl18_95 ),
inference(forward_demodulation,[],[f394,f810]) ).
fof(f394,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2712,plain,
( ~ spl18_174
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2711,f1120,f1189]) ).
fof(f2711,plain,
( e21 != op2(e23,e23)
| ~ spl18_160 ),
inference(forward_demodulation,[],[f252,f1122]) ).
fof(f252,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2707,plain,
( ~ spl18_175
| ~ spl18_238 ),
inference(avatar_split_clause,[],[f2706,f1526,f1193]) ).
fof(f1193,plain,
( spl18_175
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_175])]) ).
fof(f2706,plain,
( e22 != op2(e23,e23)
| ~ spl18_238 ),
inference(forward_demodulation,[],[f210,f1528]) ).
fof(f210,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2693,plain,
( ~ spl18_25
| ~ spl18_184
| spl18_197 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2692,plain,
( $false
| ~ spl18_25
| ~ spl18_184
| spl18_197 ),
inference(subsumption_resolution,[],[f2691,f1323]) ).
fof(f2691,plain,
( e11 = e12
| ~ spl18_25
| ~ spl18_184 ),
inference(forward_demodulation,[],[f2690,f151]) ).
fof(f2690,plain,
( e11 = op1(e11,e11)
| ~ spl18_25
| ~ spl18_184 ),
inference(forward_demodulation,[],[f504,f1244]) ).
fof(f2615,plain,
( ~ spl18_264
| ~ spl18_210
| ~ spl18_254 ),
inference(avatar_split_clause,[],[f2613,f1629,f1398,f1706]) ).
fof(f1629,plain,
( spl18_254
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_254])]) ).
fof(f2613,plain,
( e22 != h1(e12)
| ~ spl18_210
| ~ spl18_254 ),
inference(backward_demodulation,[],[f2504,f1631]) ).
fof(f1631,plain,
( e22 = op2(e22,e20)
| ~ spl18_254 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f2504,plain,
( op2(e22,e20) != h1(e12)
| ~ spl18_210 ),
inference(forward_demodulation,[],[f216,f1399]) ).
fof(f216,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2595,plain,
( ~ spl18_91
| ~ spl18_118
| ~ spl18_157
| ~ spl18_194
| spl18_219 ),
inference(avatar_contradiction_clause,[],[f2594]) ).
fof(f2594,plain,
( $false
| ~ spl18_91
| ~ spl18_118
| ~ spl18_157
| ~ spl18_194
| spl18_219 ),
inference(subsumption_resolution,[],[f2593,f792]) ).
fof(f2593,plain,
( e20 != op2(e22,e21)
| ~ spl18_118
| ~ spl18_157
| ~ spl18_194
| spl18_219 ),
inference(forward_demodulation,[],[f2592,f1275]) ).
fof(f2592,plain,
( op2(e22,e21) != h2(e10)
| ~ spl18_118
| ~ spl18_157
| ~ spl18_194
| spl18_219 ),
inference(forward_demodulation,[],[f2591,f1108]) ).
fof(f2591,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| ~ spl18_118
| ~ spl18_194
| spl18_219 ),
inference(forward_demodulation,[],[f2590,f908]) ).
fof(f2590,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| ~ spl18_194
| spl18_219 ),
inference(forward_demodulation,[],[f1449,f1298]) ).
fof(f1449,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl18_219 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1447,plain,
( spl18_219
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_219])]) ).
fof(f2581,plain,
( ~ spl18_59
| ~ spl18_130 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2580,plain,
( $false
| ~ spl18_59
| ~ spl18_130 ),
inference(subsumption_resolution,[],[f2579,f322]) ).
fof(f322,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2579,plain,
( e11 = e13
| ~ spl18_59
| ~ spl18_130 ),
inference(forward_demodulation,[],[f648,f972]) ).
fof(f972,plain,
( e11 = op1(e12,e13)
| ~ spl18_130 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f2577,plain,
( ~ spl18_240
| ~ spl18_174 ),
inference(avatar_split_clause,[],[f2576,f1189,f1534]) ).
fof(f1534,plain,
( spl18_240
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_240])]) ).
fof(f2576,plain,
( e21 != op2(e20,e23)
| ~ spl18_174 ),
inference(forward_demodulation,[],[f210,f1191]) ).
fof(f2535,plain,
( ~ spl18_268
| ~ spl18_150
| ~ spl18_210 ),
inference(avatar_split_clause,[],[f2534,f1398,f1072,f1736]) ).
fof(f1736,plain,
( spl18_268
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_268])]) ).
fof(f2534,plain,
( e21 != h1(e12)
| ~ spl18_150
| ~ spl18_210 ),
inference(backward_demodulation,[],[f2154,f1074]) ).
fof(f2154,plain,
( op2(e20,e21) != h1(e12)
| ~ spl18_210 ),
inference(backward_demodulation,[],[f239,f1399]) ).
fof(f239,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2520,plain,
( ~ spl18_183
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f2519,f808,f1238]) ).
fof(f1238,plain,
( spl18_183
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_183])]) ).
fof(f2519,plain,
( e13 != op1(e11,e13)
| ~ spl18_95 ),
inference(forward_demodulation,[],[f380,f810]) ).
fof(f380,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2518,plain,
( ~ spl18_4
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f2517]) ).
fof(f2517,plain,
( $false
| ~ spl18_4
| ~ spl18_95 ),
inference(subsumption_resolution,[],[f2516,f325]) ).
fof(f2516,plain,
( e10 = e13
| ~ spl18_4
| ~ spl18_95 ),
inference(forward_demodulation,[],[f413,f810]) ).
fof(f413,plain,
( e10 = op1(e11,e10)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl18_4
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f2511,plain,
( spl18_268
| ~ spl18_139
| ~ spl18_210 ),
inference(avatar_split_clause,[],[f2510,f1398,f1012,f1736]) ).
fof(f2510,plain,
( e21 = h1(e12)
| ~ spl18_139
| ~ spl18_210 ),
inference(forward_demodulation,[],[f1014,f1399]) ).
fof(f2509,plain,
( ~ spl18_187
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2508,plain,
( $false
| ~ spl18_187
| ~ spl18_276 ),
inference(subsumption_resolution,[],[f2507,f1797]) ).
fof(f2507,plain,
( e20 != op2(e21,e22)
| ~ spl18_187 ),
inference(forward_demodulation,[],[f215,f1262]) ).
fof(f215,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2496,plain,
( ~ spl18_182
| ~ spl18_174 ),
inference(avatar_split_clause,[],[f2495,f1189,f1228]) ).
fof(f1228,plain,
( spl18_182
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_182])]) ).
fof(f2495,plain,
( e21 != op2(e23,e21)
| ~ spl18_174 ),
inference(forward_demodulation,[],[f241,f1191]) ).
fof(f241,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2488,plain,
( ~ spl18_283
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f2487,f808,f1841]) ).
fof(f1841,plain,
( spl18_283
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_283])]) ).
fof(f2487,plain,
( e13 != op1(e13,e10)
| ~ spl18_95 ),
inference(forward_demodulation,[],[f368,f810]) ).
fof(f368,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2477,plain,
( ~ spl18_147
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f2476,f790,f1056]) ).
fof(f1056,plain,
( spl18_147
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_147])]) ).
fof(f2476,plain,
( e20 != op2(e23,e21)
| ~ spl18_91 ),
inference(forward_demodulation,[],[f236,f792]) ).
fof(f236,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2474,plain,
( ~ spl18_254
| ~ spl18_206 ),
inference(avatar_split_clause,[],[f2473,f1369,f1629]) ).
fof(f2473,plain,
( e22 != op2(e22,e20)
| ~ spl18_206 ),
inference(forward_demodulation,[],[f243,f1371]) ).
fof(f243,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2439,plain,
( ~ spl18_160
| ~ spl18_171 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2438,plain,
( $false
| ~ spl18_160
| ~ spl18_171 ),
inference(subsumption_resolution,[],[f2437,f1176]) ).
fof(f2437,plain,
( e21 != op2(e21,e22)
| ~ spl18_160 ),
inference(forward_demodulation,[],[f247,f1122]) ).
fof(f247,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2388,plain,
( ~ spl18_29
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl18_29
| ~ spl18_95 ),
inference(subsumption_resolution,[],[f2386,f322]) ).
fof(f2386,plain,
( e11 = e13
| ~ spl18_29
| ~ spl18_95 ),
inference(forward_demodulation,[],[f522,f810]) ).
fof(f522,plain,
( e11 = op1(e11,e10)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl18_29
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
fof(f2378,plain,
( ~ spl18_99
| ~ spl18_165
| ~ spl18_210 ),
inference(avatar_split_clause,[],[f2377,f1398,f1142,f826]) ).
fof(f826,plain,
( spl18_99
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_99])]) ).
fof(f2377,plain,
( e20 != h1(e12)
| ~ spl18_165
| ~ spl18_210 ),
inference(forward_demodulation,[],[f2376,f1399]) ).
fof(f2376,plain,
( e20 != op2(e20,e20)
| ~ spl18_165 ),
inference(forward_demodulation,[],[f235,f1144]) ).
fof(f2375,plain,
( ~ spl18_91
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| ~ spl18_91
| ~ spl18_92 ),
inference(subsumption_resolution,[],[f2373,f796]) ).
fof(f796,plain,
( e20 = op2(e22,e20)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl18_92
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).
fof(f2373,plain,
( e20 != op2(e22,e20)
| ~ spl18_91 ),
inference(forward_demodulation,[],[f214,f792]) ).
fof(f214,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2357,plain,
( ~ spl18_165
| ~ spl18_199 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| ~ spl18_165
| ~ spl18_199 ),
inference(subsumption_resolution,[],[f2355,f65]) ).
fof(f2355,plain,
( e20 = e22
| ~ spl18_165
| ~ spl18_199 ),
inference(forward_demodulation,[],[f1334,f1144]) ).
fof(f2344,plain,
( spl18_140
| ~ spl18_150
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2343,plain,
( $false
| spl18_140
| ~ spl18_150
| ~ spl18_151 ),
inference(subsumption_resolution,[],[f2342,f1017]) ).
fof(f2342,plain,
( e21 = e23
| ~ spl18_150
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1074,f1078]) ).
fof(f2333,plain,
( spl18_275
| ~ spl18_162
| ~ spl18_253 ),
inference(avatar_split_clause,[],[f2332,f1613,f1129,f1788]) ).
fof(f1788,plain,
( spl18_275
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_275])]) ).
fof(f1129,plain,
( spl18_162
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_162])]) ).
fof(f2332,plain,
( op1(e10,e10) = e13
| ~ spl18_162
| ~ spl18_253 ),
inference(forward_demodulation,[],[f1615,f1131]) ).
fof(f1131,plain,
( e10 = op1(e13,e10)
| ~ spl18_162 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f2317,plain,
( ~ spl18_275
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f2316,f808,f1788]) ).
fof(f2316,plain,
( op1(e10,e10) != e13
| ~ spl18_95 ),
inference(forward_demodulation,[],[f351,f810]) ).
fof(f351,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2303,plain,
( spl18_264
| ~ spl18_91
| ~ spl18_210
| ~ spl18_260 ),
inference(avatar_split_clause,[],[f2302,f1675,f1398,f790,f1706]) ).
fof(f1675,plain,
( spl18_260
<=> e22 = op2(op2(e22,e21),op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_260])]) ).
fof(f2302,plain,
( e22 = h1(e12)
| ~ spl18_91
| ~ spl18_210
| ~ spl18_260 ),
inference(forward_demodulation,[],[f2301,f1399]) ).
fof(f2301,plain,
( op2(e20,e20) = e22
| ~ spl18_91
| ~ spl18_260 ),
inference(forward_demodulation,[],[f1677,f792]) ).
fof(f1677,plain,
( e22 = op2(op2(e22,e21),op2(e22,e21))
| ~ spl18_260 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f2295,plain,
( ~ spl18_282
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f2294,f790,f1836]) ).
fof(f2294,plain,
( e20 != h3(e12)
| ~ spl18_91 ),
inference(backward_demodulation,[],[f905,f792]) ).
fof(f905,plain,
op2(e22,e21) != h3(e12),
inference(backward_demodulation,[],[f209,f348]) ).
fof(f209,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2266,plain,
( ~ spl18_127
| ~ spl18_241 ),
inference(avatar_split_clause,[],[f2265,f1542,f957]) ).
fof(f957,plain,
( spl18_127
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_127])]) ).
fof(f1542,plain,
( spl18_241
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_241])]) ).
fof(f2265,plain,
( e23 != op2(e23,e23)
| ~ spl18_241 ),
inference(forward_demodulation,[],[f244,f1544]) ).
fof(f1544,plain,
( e23 = op2(e22,e23)
| ~ spl18_241 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f244,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2245,plain,
( spl18_99
| ~ spl18_164
| ~ spl18_210 ),
inference(avatar_split_clause,[],[f2244,f1398,f1138,f826]) ).
fof(f2244,plain,
( e20 = h1(e12)
| ~ spl18_164
| ~ spl18_210 ),
inference(forward_demodulation,[],[f1140,f1399]) ).
fof(f2240,plain,
( ~ spl18_242
| ~ spl18_151 ),
inference(avatar_split_clause,[],[f2239,f1076,f1546]) ).
fof(f1546,plain,
( spl18_242
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_242])]) ).
fof(f2239,plain,
( e23 != op2(e22,e21)
| ~ spl18_151 ),
inference(forward_demodulation,[],[f246,f1078]) ).
fof(f2230,plain,
( ~ spl18_237
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2229,f1106,f1521]) ).
fof(f1521,plain,
( spl18_237
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_237])]) ).
fof(f2229,plain,
( e10 != op1(e12,e10)
| ~ spl18_157 ),
inference(forward_demodulation,[],[f385,f1108]) ).
fof(f385,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2224,plain,
( ~ spl18_30
| ~ spl18_253 ),
inference(avatar_contradiction_clause,[],[f2223]) ).
fof(f2223,plain,
( $false
| ~ spl18_30
| ~ spl18_253 ),
inference(subsumption_resolution,[],[f2222,f323]) ).
fof(f2222,plain,
( e12 = e13
| ~ spl18_30
| ~ spl18_253 ),
inference(forward_demodulation,[],[f2221,f151]) ).
fof(f2221,plain,
( e13 = op1(e11,e11)
| ~ spl18_30
| ~ spl18_253 ),
inference(backward_demodulation,[],[f1615,f526]) ).
fof(f526,plain,
( e11 = op1(e13,e10)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f2204,plain,
( spl18_172
| ~ spl18_118
| ~ spl18_280 ),
inference(avatar_split_clause,[],[f2203,f1824,f907,f1178]) ).
fof(f1824,plain,
( spl18_280
<=> e21 = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_280])]) ).
fof(f2203,plain,
( e21 = h3(e12)
| ~ spl18_118
| ~ spl18_280 ),
inference(forward_demodulation,[],[f2202,f348]) ).
fof(f2202,plain,
( e21 = op2(e22,e22)
| ~ spl18_118
| ~ spl18_280 ),
inference(forward_demodulation,[],[f1826,f908]) ).
fof(f1826,plain,
( e21 = op2(h2(e12),h2(e12))
| ~ spl18_280 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f2150,plain,
( ~ spl18_243
| ~ spl18_241 ),
inference(avatar_split_clause,[],[f2147,f1542,f1550]) ).
fof(f2147,plain,
( e23 != h3(e12)
| ~ spl18_241 ),
inference(backward_demodulation,[],[f1565,f1544]) ).
fof(f1565,plain,
op2(e22,e23) != h3(e12),
inference(forward_demodulation,[],[f212,f348]) ).
fof(f212,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2145,plain,
( ~ spl18_131
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2144,plain,
( $false
| ~ spl18_131
| ~ spl18_157 ),
inference(subsumption_resolution,[],[f2143,f321]) ).
fof(f2143,plain,
( e10 = e11
| ~ spl18_131
| ~ spl18_157 ),
inference(forward_demodulation,[],[f976,f1108]) ).
fof(f976,plain,
( e11 = op1(e12,e11)
| ~ spl18_131 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f974,plain,
( spl18_131
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_131])]) ).
fof(f2138,plain,
( ~ spl18_139
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f2133,f1020,f1012]) ).
fof(f2133,plain,
( op2(e20,e20) != e21
| ~ spl18_141 ),
inference(backward_demodulation,[],[f216,f1022]) ).
fof(f2123,plain,
( ~ spl18_202
| ~ spl18_31 ),
inference(avatar_split_clause,[],[f2120,f528,f1350]) ).
fof(f2120,plain,
( e11 != op1(e10,e11)
| ~ spl18_31 ),
inference(backward_demodulation,[],[f390,f530]) ).
fof(f530,plain,
( op1(e10,e10) = e11
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f390,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2104,plain,
( ~ spl18_1
| ~ spl18_168 ),
inference(avatar_split_clause,[],[f2096,f1157,f399]) ).
fof(f1157,plain,
( spl18_168
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_168])]) ).
fof(f2096,plain,
( e10 != op1(e11,e13)
| ~ spl18_168 ),
inference(backward_demodulation,[],[f370,f1159]) ).
fof(f1159,plain,
( e10 = op1(e10,e13)
| ~ spl18_168 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f370,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2079,plain,
( ~ spl18_11
| ~ spl18_118 ),
inference(avatar_contradiction_clause,[],[f2078]) ).
fof(f2078,plain,
( $false
| ~ spl18_11
| ~ spl18_118 ),
inference(subsumption_resolution,[],[f2077,f62]) ).
fof(f2077,plain,
( e21 = e22
| ~ spl18_11
| ~ spl18_118 ),
inference(forward_demodulation,[],[f443,f908]) ).
fof(f443,plain,
( e21 = h2(e12)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl18_11
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f2076,plain,
( spl18_95
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2072,f1106,f808]) ).
fof(f2072,plain,
( e13 = op1(e11,e10)
| ~ spl18_157 ),
inference(backward_demodulation,[],[f779,f1108]) ).
fof(f779,plain,
e13 = op1(e11,op1(e12,e11)),
inference(backward_demodulation,[],[f152,f151]) ).
fof(f152,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f2075,plain,
( ~ spl18_161
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2070,f1106,f1125]) ).
fof(f1125,plain,
( spl18_161
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_161])]) ).
fof(f2070,plain,
( e10 != op1(e13,e11)
| ~ spl18_157 ),
inference(backward_demodulation,[],[f356,f1108]) ).
fof(f356,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2074,plain,
( ~ spl18_167
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2069,f1106,f1153]) ).
fof(f1153,plain,
( spl18_167
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_167])]) ).
fof(f2069,plain,
( e10 != op1(e10,e11)
| ~ spl18_157 ),
inference(backward_demodulation,[],[f391,f1108]) ).
fof(f391,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2073,plain,
( ~ spl18_207
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2071,f1106,f1374]) ).
fof(f1374,plain,
( spl18_207
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_207])]) ).
fof(f2071,plain,
( e10 != op1(e12,e13)
| ~ spl18_157 ),
inference(backward_demodulation,[],[f384,f1108]) ).
fof(f384,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2063,plain,
( ~ spl18_171
| ~ spl18_170 ),
inference(avatar_split_clause,[],[f2061,f1170,f1174]) ).
fof(f2061,plain,
( e21 != op2(e21,e22)
| ~ spl18_170 ),
inference(backward_demodulation,[],[f250,f1172]) ).
fof(f1172,plain,
( e21 = op2(e20,e22)
| ~ spl18_170 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f250,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2056,plain,
( ~ spl18_121
| ~ spl18_118 ),
inference(avatar_split_clause,[],[f2047,f907,f921]) ).
fof(f921,plain,
( spl18_121
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_121])]) ).
fof(f2047,plain,
( e22 != op2(e21,e23)
| ~ spl18_118 ),
inference(backward_demodulation,[],[f1770,f908]) ).
fof(f1770,plain,
op2(e21,e23) != h2(e12),
inference(backward_demodulation,[],[f220,f153]) ).
fof(f153,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f220,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2055,plain,
( spl18_14
| ~ spl18_118 ),
inference(avatar_split_clause,[],[f2045,f907,f455]) ).
fof(f2045,plain,
( e22 = op2(e21,e21)
| ~ spl18_118 ),
inference(backward_demodulation,[],[f153,f908]) ).
fof(f2054,plain,
( ~ spl18_120
| ~ spl18_118 ),
inference(avatar_split_clause,[],[f2048,f907,f917]) ).
fof(f917,plain,
( spl18_120
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_120])]) ).
fof(f2048,plain,
( e22 != op2(e21,e22)
| ~ spl18_118 ),
inference(backward_demodulation,[],[f1771,f908]) ).
fof(f1771,plain,
op2(e21,e22) != h2(e12),
inference(backward_demodulation,[],[f213,f153]) ).
fof(f213,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2053,plain,
( ~ spl18_52
| ~ spl18_118 ),
inference(avatar_split_clause,[],[f2046,f907,f614]) ).
fof(f614,plain,
( spl18_52
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).
fof(f2046,plain,
( e22 != op2(e20,e21)
| ~ spl18_118 ),
inference(backward_demodulation,[],[f1769,f908]) ).
fof(f1769,plain,
op2(e20,e21) != h2(e12),
inference(backward_demodulation,[],[f245,f153]) ).
fof(f245,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2051,plain,
( spl18_91
| ~ spl18_118 ),
inference(avatar_split_clause,[],[f2050,f907,f790]) ).
fof(f2050,plain,
( e20 = op2(e22,e21)
| ~ spl18_118 ),
inference(backward_demodulation,[],[f1773,f908]) ).
fof(f1773,plain,
e20 = op2(h2(e12),e21),
inference(backward_demodulation,[],[f327,f153]) ).
fof(f2032,plain,
( ~ spl18_64
| ~ spl18_62 ),
inference(avatar_split_clause,[],[f2030,f659,f667]) ).
fof(f659,plain,
( spl18_62
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f2030,plain,
( e20 != op2(e21,e23)
| ~ spl18_62 ),
inference(backward_demodulation,[],[f252,f661]) ).
fof(f661,plain,
( e20 = op2(e23,e23)
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f2023,plain,
( ~ spl18_174
| ~ spl18_142 ),
inference(avatar_split_clause,[],[f2019,f1024,f1189]) ).
fof(f2019,plain,
( e21 != op2(e23,e23)
| ~ spl18_142 ),
inference(backward_demodulation,[],[f227,f1026]) ).
fof(f1026,plain,
( e21 = op2(e23,e20)
| ~ spl18_142 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f227,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2014,plain,
( ~ spl18_95
| ~ spl18_17 ),
inference(avatar_split_clause,[],[f2007,f468,f808]) ).
fof(f468,plain,
( spl18_17
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f2007,plain,
( e13 != op1(e11,e10)
| ~ spl18_17 ),
inference(backward_demodulation,[],[f361,f470]) ).
fof(f470,plain,
( e13 = op1(e11,e12)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f361,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1980,plain,
( ~ spl18_118
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f1976,f622,f907]) ).
fof(f622,plain,
( spl18_54
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
fof(f1976,plain,
( e22 != h2(e12)
| ~ spl18_54 ),
inference(backward_demodulation,[],[f1884,f624]) ).
fof(f624,plain,
( e22 = op2(e23,e21)
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f1884,plain,
op2(e23,e21) != h2(e12),
inference(forward_demodulation,[],[f211,f153]) ).
fof(f211,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1969,plain,
~ spl18_247,
inference(avatar_split_clause,[],[f1968,f1584]) ).
fof(f1584,plain,
( spl18_247
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_247])]) ).
fof(f1968,plain,
e12 != op1(e10,e11),
inference(forward_demodulation,[],[f383,f151]) ).
fof(f383,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1967,plain,
~ spl18_76,
inference(avatar_split_clause,[],[f63,f725]) ).
fof(f63,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1940,plain,
( spl18_183
| spl18_59
| spl18_265
| spl18_176 ),
inference(avatar_split_clause,[],[f297,f1198,f1711,f646,f1238]) ).
fof(f297,plain,
( e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12) )
& ( e12 = op1(e11,e11)
| e12 = op1(e13,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11) )
& ( e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e13) )
& ( e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12) )
& ( e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e13,e10)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13)
| e13 = op1(e13,e11) )
& ( e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13)
| e10 = op1(e12,e10) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( op1(e10,e10) = e12
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| e12 = op1(e13,e10) )
& ( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e13)
| e11 = op1(e10,e11) )
& ( e11 = op1(e12,e10)
| e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e13 = op1(e12,e11)
| e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e13,e11) )
& ( e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) )
& ( e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11) )
& ( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e13)
| e12 = op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e12,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12) )
& ( e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13)
| e12 = op1(e10,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) )
& ( e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12 )
& ( e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11) )
& ( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1934,plain,
( spl18_23
| spl18_21
| spl18_174
| spl18_24 ),
inference(avatar_split_clause,[],[f1933,f497,f1189,f485,f493]) ).
fof(f493,plain,
( spl18_23
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f485,plain,
( spl18_21
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
fof(f497,plain,
( spl18_24
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f1933,plain,
( sP0
| e21 = op2(e23,e23)
| sP1
| sP2 ),
inference(forward_demodulation,[],[f84,f626]) ).
fof(f84,plain,
( e21 = op2(op2(e21,e20),op2(e21,e20))
| sP0
| sP2
| sP1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e20 = op2(op2(e20,e20),op2(e20,e20))
& e21 = op2(op2(e21,e20),op2(e21,e20))
& e23 = op2(op2(e23,e20),op2(e23,e20))
& e22 = op2(op2(e22,e20),op2(e22,e20)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f11,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 = op2(op2(e20,e23),op2(e20,e23))
& e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e21,e23),op2(e21,e23))
& e22 = op2(op2(e22,e23),op2(e22,e23)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 = op2(op2(e21,e21),op2(e21,e21))
& e23 = op2(op2(e23,e21),op2(e23,e21))
& e20 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e22,e21),op2(e22,e21)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e23,e22),op2(e23,e22)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,axiom,
( ( e20 = op2(op2(e20,e20),op2(e20,e20))
& e21 = op2(op2(e21,e20),op2(e21,e20))
& e23 = op2(op2(e23,e20),op2(e23,e20))
& e22 = op2(op2(e22,e20),op2(e22,e20)) )
| ( e22 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e23,e22),op2(e23,e22)) )
| ( e21 = op2(op2(e21,e21),op2(e21,e21))
& e23 = op2(op2(e23,e21),op2(e23,e21))
& e20 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e22,e21),op2(e22,e21)) )
| ( e20 = op2(op2(e20,e23),op2(e20,e23))
& e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e21,e23),op2(e21,e23))
& e22 = op2(op2(e22,e23),op2(e22,e23)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f1932,plain,
( spl18_52
| spl18_238
| spl18_190
| spl18_199 ),
inference(avatar_split_clause,[],[f169,f1332,f1277,f1526,f614]) ).
fof(f169,plain,
( e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e21 = op2(e23,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e20,e23) )
& ( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e23,e21) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) )
& ( e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = op2(e23,e22) )
& ( op2(e20,e20) = e23
| e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) )
& ( e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e20,e20) )
& ( e23 = op2(e22,e20)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) )
& ( e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22) )
& ( e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e20,e23) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23)
| e20 = op2(e22,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22) )
& ( e20 = op2(e21,e23)
| e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22) )
& ( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22) )
& ( e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22)
| e22 = op2(e20,e22) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) )
& ( e22 = op2(e22,e20)
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1931,plain,
( spl18_261
| spl18_283
| spl18_162
| spl18_30 ),
inference(avatar_split_clause,[],[f256,f524,f1129,f1841,f1683]) ).
fof(f256,plain,
( e11 = op1(e13,e10)
| e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e12 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( op1(e10,e10) = e11
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e12 )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13)
| e12 = op1(e12,e13) )
& ( e11 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12) )
& ( e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e12 = op1(e11,e11)
| e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11) )
& ( e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10) )
& ( e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12) )
& ( e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1892,plain,
( spl18_56
| spl18_89
| spl18_26
| spl18_132 ),
inference(avatar_split_clause,[],[f1891,f978,f506,f781,f632]) ).
fof(f632,plain,
( spl18_56
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f781,plain,
( spl18_89
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).
fof(f506,plain,
( spl18_26
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f1891,plain,
( e11 = op1(e12,e12)
| sP16
| sP17
| sP15 ),
inference(forward_demodulation,[],[f201,f151]) ).
fof(f201,plain,
( e11 = op1(op1(e11,e11),op1(e11,e11))
| sP15
| sP17
| sP16 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e13 = op1(op1(e13,e11),op1(e13,e11))
& e10 = op1(op1(e10,e11),op1(e10,e11))
& e12 = op1(op1(e12,e11),op1(e12,e11))
& e11 = op1(op1(e11,e11),op1(e11,e11)) )
| sP17
| sP16
| sP15 ),
inference(definition_folding,[],[f10,f40,f39,f38]) ).
fof(f38,plain,
( ( e13 = op1(op1(e13,e10),op1(e13,e10))
& e11 = op1(op1(e11,e10),op1(e11,e10))
& e12 = op1(op1(e12,e10),op1(e12,e10))
& e10 = op1(op1(e10,e10),op1(e10,e10)) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e11 = op1(op1(e11,e13),op1(e11,e13))
& e12 = op1(op1(e12,e13),op1(e12,e13))
& e13 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(op1(e10,e13),op1(e10,e13)) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e12 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(op1(e13,e12),op1(e13,e12))
& e11 = op1(op1(e11,e12),op1(e11,e12))
& e10 = op1(op1(e10,e12),op1(e10,e12)) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f10,axiom,
( ( e13 = op1(op1(e13,e11),op1(e13,e11))
& e10 = op1(op1(e10,e11),op1(e10,e11))
& e12 = op1(op1(e12,e11),op1(e12,e11))
& e11 = op1(op1(e11,e11),op1(e11,e11)) )
| ( e12 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(op1(e13,e12),op1(e13,e12))
& e11 = op1(op1(e11,e12),op1(e11,e12))
& e10 = op1(op1(e10,e12),op1(e10,e12)) )
| ( e11 = op1(op1(e11,e13),op1(e11,e13))
& e12 = op1(op1(e12,e13),op1(e12,e13))
& e13 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(op1(e10,e13),op1(e10,e13)) )
| ( e13 = op1(op1(e13,e10),op1(e13,e10))
& e11 = op1(op1(e11,e10),op1(e11,e10))
& e12 = op1(op1(e12,e10),op1(e12,e10))
& e10 = op1(op1(e10,e10),op1(e10,e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f1887,plain,
( spl18_147
| spl18_187
| spl18_244
| spl18_62 ),
inference(avatar_split_clause,[],[f179,f659,f1556,f1260,f1056]) ).
fof(f179,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1886,plain,
~ spl18_273,
inference(avatar_split_clause,[],[f1885,f1765]) ).
fof(f1765,plain,
( spl18_273
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_273])]) ).
fof(f1885,plain,
e23 != op2(e21,e22),
inference(forward_demodulation,[],[f251,f626]) ).
fof(f251,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1882,plain,
( spl18_21
| spl18_288
| spl18_24
| spl18_23 ),
inference(avatar_split_clause,[],[f85,f493,f497,f1879,f485]) ).
fof(f85,plain,
( sP2
| sP0
| e20 = op2(op2(e20,e20),op2(e20,e20))
| sP1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f1877,plain,
( spl18_287
| ~ spl18_23 ),
inference(avatar_split_clause,[],[f71,f493,f1874]) ).
fof(f71,plain,
( ~ sP2
| e20 = op2(op2(e20,e22),op2(e20,e22)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e22 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e23,e22),op2(e23,e22)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1854,plain,
( spl18_282
| spl18_187
| spl18_165
| spl18_276 ),
inference(avatar_split_clause,[],[f1853,f1795,f1142,f1260,f1836]) ).
fof(f1853,plain,
( e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = h3(e12) ),
inference(forward_demodulation,[],[f165,f348]) ).
fof(f165,plain,
( e20 = op2(e21,e22)
| e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1847,plain,
( spl18_200
| spl18_191
| spl18_151
| spl18_239 ),
inference(avatar_split_clause,[],[f166,f1530,f1076,f1281,f1336]) ).
fof(f1281,plain,
( spl18_191
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_191])]) ).
fof(f166,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1844,plain,
( spl18_176
| spl18_19
| spl18_153
| spl18_283 ),
inference(avatar_split_clause,[],[f289,f1841,f1087,f476,f1198]) ).
fof(f289,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1834,plain,
( spl18_203
| spl18_161
| spl18_153 ),
inference(avatar_split_clause,[],[f1833,f1087,f1125,f1354]) ).
fof(f1833,plain,
( e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e11 = op1(e13,e11) ),
inference(subsumption_resolution,[],[f254,f1319]) ).
fof(f1319,plain,
e12 != op1(e13,e11),
inference(forward_demodulation,[],[f353,f151]) ).
fof(f353,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
( e12 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1827,plain,
( ~ spl18_21
| spl18_280 ),
inference(avatar_split_clause,[],[f1822,f1824,f485]) ).
fof(f1822,plain,
( e21 = op2(h2(e12),h2(e12))
| ~ sP1 ),
inference(forward_demodulation,[],[f77,f153]) ).
fof(f77,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| ~ sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e21 = op2(op2(e21,e21),op2(e21,e21))
& e23 = op2(op2(e23,e21),op2(e23,e21))
& e20 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e22,e21),op2(e22,e21)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1815,plain,
~ spl18_159,
inference(avatar_split_clause,[],[f1814,f1116]) ).
fof(f1116,plain,
( spl18_159
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).
fof(f1814,plain,
e23 != op2(e21,e23),
inference(forward_demodulation,[],[f228,f626]) ).
fof(f228,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1808,plain,
( spl18_277
| ~ spl18_24 ),
inference(avatar_split_clause,[],[f81,f497,f1805]) ).
fof(f81,plain,
( ~ sP0
| e20 = op2(op2(e20,e23),op2(e20,e23)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e20 = op2(op2(e20,e23),op2(e20,e23))
& e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e21,e23),op2(e21,e23))
& e22 = op2(op2(e22,e23),op2(e22,e23)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1803,plain,
( spl18_17
| spl18_136
| spl18_2 ),
inference(avatar_split_clause,[],[f1802,f403,f996,f468]) ).
fof(f1802,plain,
( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(subsumption_resolution,[],[f259,f778]) ).
fof(f778,plain,
e12 != op1(e11,e12),
inference(backward_demodulation,[],[f363,f151]) ).
fof(f363,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f259,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1801,plain,
( spl18_11
| spl18_171
| spl18_160
| spl18_140 ),
inference(avatar_split_clause,[],[f1800,f1016,f1120,f1174,f442]) ).
fof(f1800,plain,
( e21 = e23
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = h2(e12) ),
inference(forward_demodulation,[],[f1799,f153]) ).
fof(f1799,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = e23 ),
inference(forward_demodulation,[],[f174,f626]) ).
fof(f174,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1798,plain,
( spl18_273
| spl18_171
| spl18_120
| spl18_276 ),
inference(avatar_split_clause,[],[f337,f1795,f917,f1174,f1765]) ).
fof(f337,plain,
( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e22 = op2(e23,e21) )
& ( e20 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20) )
& ( e20 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e22 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e23 = op2(e21,e20)
| e20 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e22 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e20 = op2(e20,e22)
| e23 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e21,e22)
| e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e23 = op2(e21,e21) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20)
| op2(e20,e20) = e23 )
& ( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e20 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e20 = op2(e20,e23)
| e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1793,plain,
spl18_157,
inference(avatar_split_clause,[],[f1792,f1106]) ).
fof(f1792,plain,
e10 = op1(e12,e11),
inference(forward_demodulation,[],[f150,f151]) ).
fof(f150,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1786,plain,
~ spl18_197,
inference(avatar_split_clause,[],[f326,f1322]) ).
fof(f326,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f1785,plain,
( spl18_206
| spl18_244
| spl18_128
| spl18_142 ),
inference(avatar_split_clause,[],[f342,f1024,f961,f1556,f1369]) ).
fof(f961,plain,
( spl18_128
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_128])]) ).
fof(f342,plain,
( e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1776,plain,
spl18_118,
inference(avatar_split_clause,[],[f1775,f907]) ).
fof(f1775,plain,
e22 = h2(e12),
inference(forward_demodulation,[],[f328,f153]) ).
fof(f328,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1774,plain,
( spl18_237
| spl18_162
| spl18_4
| spl18_169 ),
inference(avatar_split_clause,[],[f299,f1161,f411,f1129,f1521]) ).
fof(f299,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1757,plain,
spl18_194,
inference(avatar_split_clause,[],[f156,f1297]) ).
fof(f156,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1756,plain,
spl18_210,
inference(avatar_split_clause,[],[f301,f1398]) ).
fof(f301,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(op2(e20,e20),e20))
& h1(e10) = op2(op2(e20,e20),e20)
& e20 = h1(e11)
& op2(e20,e20) = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f1749,plain,
( spl18_270
| ~ spl18_89 ),
inference(avatar_split_clause,[],[f190,f781,f1746]) ).
fof(f190,plain,
( ~ sP17
| e11 = op1(op1(e11,e12),op1(e11,e12)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e12 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(op1(e13,e12),op1(e13,e12))
& e11 = op1(op1(e11,e12),op1(e11,e12))
& e10 = op1(op1(e10,e12),op1(e10,e12)) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1744,plain,
( spl18_56
| spl18_269
| spl18_89
| spl18_26 ),
inference(avatar_split_clause,[],[f203,f506,f781,f1741,f632]) ).
fof(f203,plain,
( sP16
| sP17
| e10 = op1(op1(e10,e11),op1(e10,e11))
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f1715,plain,
( spl18_247
| spl18_152
| spl18_167
| spl18_202 ),
inference(avatar_split_clause,[],[f263,f1350,f1153,f1083,f1584]) ).
fof(f263,plain,
( e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e13 = op1(e10,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1714,plain,
( spl18_246
| spl18_265
| spl18_168
| spl18_250 ),
inference(avatar_split_clause,[],[f264,f1598,f1157,f1711,f1580]) ).
fof(f264,plain,
( e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1702,plain,
~ spl18_191,
inference(avatar_split_clause,[],[f1701,f1281]) ).
fof(f1701,plain,
op2(e20,e20) != e23,
inference(forward_demodulation,[],[f249,f626]) ).
fof(f249,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1678,plain,
( spl18_260
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f74,f485,f1675]) ).
fof(f74,plain,
( ~ sP1
| e22 = op2(op2(e22,e21),op2(e22,e21)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1667,plain,
~ spl18_140,
inference(avatar_split_clause,[],[f61,f1016]) ).
fof(f61,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1652,plain,
( spl18_257
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f194,f506,f1649]) ).
fof(f194,plain,
( ~ sP16
| e13 = op1(op1(e13,e13),op1(e13,e13)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e11 = op1(op1(e11,e13),op1(e11,e13))
& e12 = op1(op1(e12,e13),op1(e12,e13))
& e13 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(op1(e10,e13),op1(e10,e13)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1639,plain,
( spl18_130
| spl18_207
| spl18_67
| spl18_59 ),
inference(avatar_split_clause,[],[f262,f646,f680,f1374,f970]) ).
fof(f262,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e10 = op1(e12,e13)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1637,plain,
( spl18_56
| spl18_26
| spl18_89
| spl18_255 ),
inference(avatar_split_clause,[],[f204,f1634,f781,f506,f632]) ).
fof(f204,plain,
( e13 = op1(op1(e13,e11),op1(e13,e11))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f1632,plain,
( spl18_141
| spl18_92
| spl18_254 ),
inference(avatar_split_clause,[],[f1627,f1629,f794,f1020]) ).
fof(f1627,plain,
( e22 = op2(e22,e20)
| e20 = op2(e22,e20)
| e21 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f344,f1146]) ).
fof(f1146,plain,
e23 != op2(e22,e20),
inference(forward_demodulation,[],[f233,f626]) ).
fof(f233,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f344,plain,
( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1626,plain,
( ~ spl18_221
| spl18_119
| ~ spl18_231
| ~ spl18_219
| ~ spl18_220
| ~ spl18_226
| ~ spl18_233
| ~ spl18_222
| ~ spl18_225
| ~ spl18_235
| spl18_12
| ~ spl18_224
| ~ spl18_234
| ~ spl18_228
| ~ spl18_230
| ~ spl18_223
| ~ spl18_227
| spl18_134
| ~ spl18_229 ),
inference(avatar_split_clause,[],[f1625,f1487,f987,f1479,f1463,f1491,f1483,f1507,f1467,f446,f1511,f1471,f1459,f1503,f1475,f1451,f1447,f1495,f911,f1455]) ).
fof(f911,plain,
( spl18_119
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_119])]) ).
fof(f446,plain,
( spl18_12
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f987,plain,
( spl18_134
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_134])]) ).
fof(f1625,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP12
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(e12) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| sP13
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| sP14
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[],[f1624,f1275]) ).
fof(f1624,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP12
| h2(e12) != op2(h2(e11),h2(e11))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| sP13
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP14 ),
inference(forward_demodulation,[],[f1623,f1275]) ).
fof(f1623,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP14
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP13
| h2(e12) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| sP12
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[],[f1622,f151]) ).
fof(f1622,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| sP13
| sP12
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| sP14
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[],[f1621,f1275]) ).
fof(f1621,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| sP14
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| sP13
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| sP12 ),
inference(forward_demodulation,[],[f1620,f1275]) ).
fof(f1620,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| sP14
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP13
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP12
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[],[f1619,f1275]) ).
fof(f1619,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP13
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP12
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP14
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[],[f1618,f1275]) ).
fof(f1618,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP12
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| sP14
| sP13 ),
inference(forward_demodulation,[],[f1617,f1275]) ).
fof(f1617,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP14
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP12
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP13
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(subsumption_resolution,[],[f147,f1275]) ).
fof(f147,plain,
( sP12
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| e20 != h2(e10)
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP13
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP14
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| ( e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP14
| sP13
| sP12
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) )
& ( ( e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12) )
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP11
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| sP10
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| sP9 )
& ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13)
& e22 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP8
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP7
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| sP6
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| sP5
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP4
| sP3
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ) ),
inference(definition_folding,[],[f20,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25]) ).
fof(f25,plain,
( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,plain,
( ( e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e11) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e23 != h4(e11)
& e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f31,plain,
( ( e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f33,plain,
( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10)
& e23 != h1(e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f20,plain,
( ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| ( e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11) )
| ( e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13) )
| ( e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12) )
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) )
& ( ( e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12) )
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10)
& e23 != h1(e11) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e12) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| ( e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12) ) )
& ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13)
& e22 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e23 != h4(e11)
& e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| ( e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e11) )
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11) )
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11) )
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11) )
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e10)
| e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) )
| ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e23 = h3(e11)
| e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13) )
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e20 = h3(e12)
| e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10) )
& ( e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e13) )
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e10) ) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e10) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e12) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10)
| e22 = h2(e13) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e10)
| e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) )
| ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e23 = h3(e11)
| e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13) )
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e20 = h3(e12)
| e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10) )
& ( e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e13) )
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e10) ) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e10) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e12) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10)
| e22 = h2(e13) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1616,plain,
( ~ spl18_56
| spl18_253 ),
inference(avatar_split_clause,[],[f200,f1613,f632]) ).
fof(f200,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e13 = op1(op1(e13,e10),op1(e13,e10))
& e11 = op1(op1(e11,e10),op1(e11,e10))
& e12 = op1(op1(e12,e10),op1(e12,e10))
& e10 = op1(op1(e10,e10),op1(e10,e10)) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1610,plain,
( spl18_63
| spl18_241
| spl18_251
| spl18_252 ),
inference(avatar_split_clause,[],[f332,f1607,f1603,f1542,f663]) ).
fof(f332,plain,
( e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1601,plain,
( spl18_250
| spl18_184
| spl18_178
| spl18_130 ),
inference(avatar_split_clause,[],[f275,f970,f1206,f1242,f1598]) ).
fof(f275,plain,
( e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1591,plain,
( spl18_246
| spl18_247
| spl18_248
| spl18_217 ),
inference(avatar_split_clause,[],[f271,f1427,f1588,f1584,f1580]) ).
fof(f271,plain,
( e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1564,plain,
spl18_133,
inference(avatar_split_clause,[],[f1563,f983]) ).
fof(f1563,plain,
e23 = h2(e13),
inference(forward_demodulation,[],[f1562,f626]) ).
fof(f1562,plain,
op2(e21,e20) = h2(e13),
inference(forward_demodulation,[],[f154,f327]) ).
fof(f154,plain,
op2(e21,op2(op2(e21,e21),e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1561,plain,
( spl18_150
| spl18_139
| spl18_170
| spl18_240 ),
inference(avatar_split_clause,[],[f188,f1534,f1170,f1012,f1072]) ).
fof(f188,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1560,plain,
~ spl18_189,
inference(avatar_split_clause,[],[f60,f1270]) ).
fof(f60,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1553,plain,
( spl18_241
| spl18_242
| spl18_243 ),
inference(avatar_split_clause,[],[f1540,f1550,f1546,f1542]) ).
fof(f1540,plain,
( e23 = h3(e12)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f1539,f348]) ).
fof(f1539,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f177,f1146]) ).
fof(f177,plain,
( e23 = op2(e22,e22)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1524,plain,
( spl18_60
| spl18_237
| spl18_28
| spl18_69 ),
inference(avatar_split_clause,[],[f267,f688,f516,f1521,f650]) ).
fof(f267,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1437,plain,
( ~ spl18_26
| spl18_218 ),
inference(avatar_split_clause,[],[f195,f1434,f506]) ).
fof(f195,plain,
( e12 = op1(op1(e12,e13),op1(e12,e13))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f1382,plain,
( spl18_208
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f193,f506,f1379]) ).
fof(f193,plain,
( ~ sP16
| e10 = op1(op1(e10,e13),op1(e10,e13)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1372,plain,
( spl18_175
| spl18_206
| spl18_54
| spl18_188 ),
inference(avatar_split_clause,[],[f160,f1264,f622,f1369,f1193]) ).
fof(f160,plain,
( e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1357,plain,
( spl18_197
| spl18_202
| spl18_203
| spl18_131 ),
inference(avatar_split_clause,[],[f1348,f974,f1354,f1350,f1322]) ).
fof(f1348,plain,
( e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| e11 = e12 ),
inference(forward_demodulation,[],[f270,f151]) ).
fof(f270,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1339,plain,
( spl18_170
| spl18_165
| spl18_199
| spl18_200 ),
inference(avatar_split_clause,[],[f338,f1336,f1332,f1142,f1170]) ).
fof(f338,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1330,plain,
( spl18_198
| ~ spl18_89 ),
inference(avatar_split_clause,[],[f191,f781,f1327]) ).
fof(f191,plain,
( ~ sP17
| e13 = op1(op1(e13,e12),op1(e13,e12)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f1325,plain,
( spl18_29
| spl18_136
| spl18_197
| spl18_184 ),
inference(avatar_split_clause,[],[f1320,f1242,f1322,f996,f520]) ).
fof(f1320,plain,
( e11 = op1(e11,e13)
| e11 = e12
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) ),
inference(forward_demodulation,[],[f280,f151]) ).
fof(f280,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1300,plain,
( ~ spl18_194
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f91,f446,f1297]) ).
fof(f91,plain,
( ~ sP13
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1295,plain,
( ~ spl18_24
| spl18_193 ),
inference(avatar_split_clause,[],[f79,f1292,f497]) ).
fof(f79,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1290,plain,
( spl18_192
| ~ spl18_56 ),
inference(avatar_split_clause,[],[f197,f632,f1287]) ).
fof(f197,plain,
( ~ sP15
| e10 = op1(op1(e10,e10),op1(e10,e10)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f1284,plain,
( spl18_190
| spl18_164
| spl18_139
| spl18_191 ),
inference(avatar_split_clause,[],[f334,f1281,f1012,f1138,f1277]) ).
fof(f334,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e21
| e20 = op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1258,plain,
( ~ spl18_89
| spl18_186 ),
inference(avatar_split_clause,[],[f189,f1255,f781]) ).
fof(f189,plain,
( e10 = op1(op1(e10,e12),op1(e10,e12))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f1245,plain,
( spl18_183
| spl18_184
| spl18_1 ),
inference(avatar_split_clause,[],[f1236,f399,f1242,f1238]) ).
fof(f1236,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f260,f1215]) ).
fof(f1215,plain,
e12 != op1(e11,e13),
inference(forward_demodulation,[],[f377,f151]) ).
fof(f377,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f260,plain,
( e11 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1231,plain,
( spl18_54
| spl18_182
| spl18_147
| spl18_126 ),
inference(avatar_split_clause,[],[f345,f953,f1056,f1228,f622]) ).
fof(f345,plain,
( e23 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1196,plain,
( spl18_62
| spl18_174
| spl18_127
| spl18_175 ),
inference(avatar_split_clause,[],[f330,f1193,f957,f1189,f659]) ).
fof(f330,plain,
( e22 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1185,plain,
( spl18_170
| spl18_171
| spl18_172
| spl18_173 ),
inference(avatar_split_clause,[],[f1168,f1182,f1178,f1174,f1170]) ).
fof(f1168,plain,
( e21 = op2(e23,e22)
| e21 = h3(e12)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(forward_demodulation,[],[f183,f348]) ).
fof(f183,plain,
( e21 = op2(e21,e22)
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1166,plain,
~ spl18_128,
inference(avatar_split_clause,[],[f1165,f961]) ).
fof(f1165,plain,
e23 != op2(e23,e20),
inference(forward_demodulation,[],[f208,f626]) ).
fof(f208,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1136,plain,
( spl18_161
| spl18_162
| spl18_154
| spl18_163 ),
inference(avatar_split_clause,[],[f300,f1133,f1092,f1129,f1125]) ).
fof(f300,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1123,plain,
( spl18_159
| spl18_64
| spl18_121
| spl18_160 ),
inference(avatar_split_clause,[],[f339,f1120,f921,f667,f1116]) ).
fof(f339,plain,
( e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1114,plain,
( ~ spl18_23
| spl18_158 ),
inference(avatar_split_clause,[],[f70,f1111,f493]) ).
fof(f70,plain,
( e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f1079,plain,
( spl18_150
| spl18_146
| spl18_52
| spl18_151 ),
inference(avatar_split_clause,[],[f340,f1076,f614,f1052,f1072]) ).
fof(f340,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1027,plain,
( spl18_139
| spl18_140
| spl18_141
| spl18_142 ),
inference(avatar_split_clause,[],[f1010,f1024,f1020,f1016,f1012]) ).
fof(f1010,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = e23
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[],[f168,f626]) ).
fof(f168,plain,
( e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| e21 = op2(e23,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f990,plain,
( ~ spl18_133
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f95,f987,f983]) ).
fof(f95,plain,
( ~ sP12
| e23 != h2(e13) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f914,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(avatar_split_clause,[],[f87,f911,f907]) ).
fof(f87,plain,
( ~ sP14
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f657,plain,
( spl18_20
| spl18_59
| spl18_60
| spl18_61 ),
inference(avatar_split_clause,[],[f296,f654,f650,f646,f480]) ).
fof(f296,plain,
( e13 = op1(e12,e11)
| e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f635,plain,
( spl18_55
| ~ spl18_56 ),
inference(avatar_split_clause,[],[f199,f632,f628]) ).
fof(f199,plain,
( ~ sP15
| e11 = op1(op1(e11,e10),op1(e11,e10)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f514,plain,
( ~ spl18_23
| spl18_27 ),
inference(avatar_split_clause,[],[f72,f511,f493]) ).
fof(f72,plain,
( e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f509,plain,
( spl18_25
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f196,f506,f502]) ).
fof(f196,plain,
( ~ sP16
| e11 = op1(op1(e11,e13),op1(e11,e13)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f500,plain,
( spl18_21
| spl18_22
| spl18_23
| spl18_24 ),
inference(avatar_split_clause,[],[f83,f497,f493,f489,f485]) ).
fof(f83,plain,
( sP0
| sP2
| e23 = op2(op2(e23,e20),op2(e23,e20))
| sP1 ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:52:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.57 % (30721)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (30723)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57 % (30723)Instruction limit reached!
% 0.21/0.57 % (30723)------------------------------
% 0.21/0.57 % (30723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (30723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (30723)Termination reason: Unknown
% 0.21/0.57 % (30737)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.57 % (30723)Termination phase: shuffling
% 0.21/0.57
% 0.21/0.57 % (30723)Memory used [KB]: 1023
% 0.21/0.57 % (30723)Time elapsed: 0.003 s
% 0.21/0.57 % (30723)Instructions burned: 2 (million)
% 0.21/0.57 % (30723)------------------------------
% 0.21/0.57 % (30723)------------------------------
% 0.21/0.58 % (30731)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58 % (30739)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.58 % (30729)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.61 % (30715)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.62 % (30744)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.62 % (30718)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.62 % (30726)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.62 % (30717)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.62 % (30738)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.62 % (30736)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.62 % (30742)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.63 % (30728)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.63 % (30720)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.63 % (30730)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.91/0.63 % (30727)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.91/0.63 % (30740)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.91/0.63 % (30732)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.91/0.63 % (30719)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.63 % (30724)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.63 % (30722)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.91/0.63 % (30734)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.64 % (30735)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.91/0.64 % (30741)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.91/0.65 % (30733)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.65 % (30743)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.65 % (30725)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.08/0.65 % (30716)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.08/0.65 % (30722)Instruction limit reached!
% 2.08/0.65 % (30722)------------------------------
% 2.08/0.65 % (30722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66 % (30722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66 % (30722)Termination reason: Unknown
% 2.08/0.66 % (30722)Termination phase: Property scanning
% 2.08/0.66
% 2.08/0.66 % (30722)Memory used [KB]: 1151
% 2.08/0.66 % (30722)Time elapsed: 0.007 s
% 2.08/0.66 % (30722)Instructions burned: 7 (million)
% 2.08/0.66 % (30722)------------------------------
% 2.08/0.66 % (30722)------------------------------
% 2.14/0.69 % (30721)Instruction limit reached!
% 2.14/0.69 % (30721)------------------------------
% 2.14/0.69 % (30721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.69 % (30721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.69 % (30721)Termination reason: Unknown
% 2.14/0.69 % (30721)Termination phase: Finite model building preprocessing
% 2.14/0.69
% 2.14/0.69 % (30721)Memory used [KB]: 2430
% 2.14/0.69 % (30721)Time elapsed: 0.036 s
% 2.14/0.69 % (30721)Instructions burned: 51 (million)
% 2.14/0.69 % (30721)------------------------------
% 2.14/0.69 % (30721)------------------------------
% 2.54/0.72 % (30729)Instruction limit reached!
% 2.54/0.72 % (30729)------------------------------
% 2.54/0.72 % (30729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.72 % (30729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.72 % (30729)Termination reason: Unknown
% 2.54/0.72 % (30729)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (30729)Memory used [KB]: 6908
% 2.54/0.72 % (30729)Time elapsed: 0.066 s
% 2.54/0.72 % (30729)Instructions burned: 69 (million)
% 2.54/0.72 % (30729)------------------------------
% 2.54/0.72 % (30729)------------------------------
% 2.54/0.72 % (30718)Instruction limit reached!
% 2.54/0.72 % (30718)------------------------------
% 2.54/0.72 % (30718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.72 % (30718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.72 % (30718)Termination reason: Unknown
% 2.54/0.72 % (30718)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (30718)Memory used [KB]: 6268
% 2.54/0.72 % (30718)Time elapsed: 0.032 s
% 2.54/0.72 % (30718)Instructions burned: 52 (million)
% 2.54/0.72 % (30718)------------------------------
% 2.54/0.72 % (30718)------------------------------
% 2.54/0.74 % (30717)Instruction limit reached!
% 2.54/0.74 % (30717)------------------------------
% 2.54/0.74 % (30717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.74 % (30717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.74 % (30717)Termination reason: Unknown
% 2.54/0.74 % (30717)Termination phase: Saturation
% 2.54/0.74
% 2.54/0.74 % (30717)Memory used [KB]: 1279
% 2.54/0.74 % (30717)Time elapsed: 0.029 s
% 2.54/0.74 % (30717)Instructions burned: 38 (million)
% 2.54/0.74 % (30717)------------------------------
% 2.54/0.74 % (30717)------------------------------
% 2.54/0.74 % (30720)Instruction limit reached!
% 2.54/0.74 % (30720)------------------------------
% 2.54/0.74 % (30720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.74 % (30720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.74 % (30720)Termination reason: Unknown
% 2.54/0.74 % (30720)Termination phase: Saturation
% 2.54/0.74
% 2.54/0.74 % (30720)Memory used [KB]: 6652
% 2.54/0.74 % (30720)Time elapsed: 0.298 s
% 2.54/0.74 % (30720)Instructions burned: 49 (million)
% 2.54/0.74 % (30720)------------------------------
% 2.54/0.74 % (30720)------------------------------
% 2.54/0.75 % (30719)Instruction limit reached!
% 2.54/0.75 % (30719)------------------------------
% 2.54/0.75 % (30719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.75 % (30719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.75 % (30719)Termination reason: Unknown
% 2.54/0.75 % (30719)Termination phase: Saturation
% 2.54/0.75
% 2.54/0.75 % (30719)Memory used [KB]: 6780
% 2.54/0.75 % (30719)Time elapsed: 0.038 s
% 2.54/0.75 % (30719)Instructions burned: 51 (million)
% 2.54/0.75 % (30719)------------------------------
% 2.54/0.75 % (30719)------------------------------
% 2.87/0.75 % (30724)Instruction limit reached!
% 2.87/0.75 % (30724)------------------------------
% 2.87/0.75 % (30724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.75 % (30724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.75 % (30724)Termination reason: Unknown
% 2.87/0.75 % (30724)Termination phase: Saturation
% 2.87/0.75
% 2.87/0.75 % (30724)Memory used [KB]: 1407
% 2.87/0.75 % (30724)Time elapsed: 0.040 s
% 2.87/0.75 % (30724)Instructions burned: 52 (million)
% 2.87/0.75 % (30724)------------------------------
% 2.87/0.75 % (30724)------------------------------
% 2.87/0.75 % (30732)Instruction limit reached!
% 2.87/0.75 % (30732)------------------------------
% 2.87/0.75 % (30732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.75 % (30732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.75 % (30732)Termination reason: Unknown
% 2.87/0.75 % (30732)Termination phase: Finite model building preprocessing
% 2.87/0.75
% 2.87/0.75 % (30732)Memory used [KB]: 2558
% 2.87/0.75 % (30732)Time elapsed: 0.039 s
% 2.87/0.75 % (30732)Instructions burned: 60 (million)
% 2.87/0.75 % (30732)------------------------------
% 2.87/0.75 % (30732)------------------------------
% 2.87/0.78 % (30730)Instruction limit reached!
% 2.87/0.78 % (30730)------------------------------
% 2.87/0.78 % (30730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78 % (30725)Instruction limit reached!
% 2.87/0.78 % (30725)------------------------------
% 2.87/0.78 % (30725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78 % (30725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78 % (30725)Termination reason: Unknown
% 2.87/0.78 % (30725)Termination phase: Saturation
% 2.87/0.78
% 2.87/0.78 % (30725)Memory used [KB]: 7036
% 2.87/0.78 % (30725)Time elapsed: 0.041 s
% 2.87/0.78 % (30725)Instructions burned: 50 (million)
% 2.87/0.78 % (30725)------------------------------
% 2.87/0.78 % (30725)------------------------------
% 2.87/0.78 % (30716)Instruction limit reached!
% 2.87/0.78 % (30716)------------------------------
% 2.87/0.78 % (30716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78 % (30716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78 % (30716)Termination reason: Unknown
% 2.87/0.78 % (30716)Termination phase: Saturation
% 2.87/0.78
% 2.87/0.78 % (30716)Memory used [KB]: 6780
% 2.87/0.78 % (30716)Time elapsed: 0.038 s
% 2.87/0.78 % (30716)Instructions burned: 50 (million)
% 2.87/0.78 % (30716)------------------------------
% 2.87/0.78 % (30716)------------------------------
% 2.87/0.78 % (30730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78 % (30730)Termination reason: Unknown
% 2.87/0.78 % (30730)Termination phase: Saturation
% 2.87/0.79
% 2.87/0.79 % (30730)Memory used [KB]: 1663
% 2.87/0.79 % (30730)Time elapsed: 0.055 s
% 2.87/0.79 % (30730)Instructions burned: 75 (million)
% 2.87/0.79 % (30730)------------------------------
% 2.87/0.79 % (30730)------------------------------
% 2.87/0.79 TRYING [8]
% 2.87/0.82 % (30746)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.87/0.82 % (30741)Instruction limit reached!
% 2.87/0.82 % (30741)------------------------------
% 2.87/0.82 % (30741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.82 % (30741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.82 % (30741)Termination reason: Unknown
% 2.87/0.82 % (30741)Termination phase: Saturation
% 2.87/0.82
% 2.87/0.82 % (30741)Memory used [KB]: 6908
% 2.87/0.82 % (30741)Time elapsed: 0.053 s
% 2.87/0.82 % (30741)Instructions burned: 69 (million)
% 2.87/0.82 % (30741)------------------------------
% 2.87/0.82 % (30741)------------------------------
% 2.87/0.82 % (30731)Instruction limit reached!
% 2.87/0.82 % (30731)------------------------------
% 2.87/0.82 % (30731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.82 % (30731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.82 % (30731)Termination reason: Unknown
% 2.87/0.82 % (30731)Termination phase: Saturation
% 2.87/0.82
% 2.87/0.82 % (30731)Memory used [KB]: 6908
% 2.87/0.82 % (30731)Time elapsed: 0.362 s
% 2.87/0.82 % (30731)Instructions burned: 99 (million)
% 2.87/0.82 % (30731)------------------------------
% 2.87/0.82 % (30731)------------------------------
% 3.40/0.84 % (30728)Instruction limit reached!
% 3.40/0.84 % (30728)------------------------------
% 3.40/0.84 % (30728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.84 % (30728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.84 % (30728)Termination reason: Unknown
% 3.40/0.84 % (30728)Termination phase: Saturation
% 3.40/0.84
% 3.40/0.85 % (30728)Memory used [KB]: 7419
% 3.40/0.85 % (30728)Time elapsed: 0.402 s
% 3.40/0.85 % (30728)Instructions burned: 100 (million)
% 3.40/0.85 % (30728)------------------------------
% 3.40/0.85 % (30728)------------------------------
% 3.40/0.85 % (30726)Instruction limit reached!
% 3.40/0.85 % (30726)------------------------------
% 3.40/0.85 % (30726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.85 % (30726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.85 % (30726)Termination reason: Unknown
% 3.40/0.85 % (30726)Termination phase: Saturation
% 3.40/0.85
% 3.40/0.85 % (30726)Memory used [KB]: 7547
% 3.40/0.85 % (30726)Time elapsed: 0.389 s
% 3.40/0.85 % (30726)Instructions burned: 100 (million)
% 3.40/0.85 % (30726)------------------------------
% 3.40/0.85 % (30726)------------------------------
% 3.40/0.85 % (30738)First to succeed.
% 3.40/0.85 % (30763)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.40/0.87 % (30734)Instruction limit reached!
% 3.40/0.87 % (30734)------------------------------
% 3.40/0.87 % (30734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.87 % (30734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.87 % (30734)Termination reason: Unknown
% 3.40/0.87 % (30734)Termination phase: Saturation
% 3.40/0.87
% 3.40/0.87 % (30734)Memory used [KB]: 1535
% 3.40/0.87 % (30734)Time elapsed: 0.416 s
% 3.40/0.87 % (30734)Instructions burned: 100 (million)
% 3.40/0.87 % (30734)------------------------------
% 3.40/0.87 % (30734)------------------------------
% 3.65/0.89 % (30727)Instruction limit reached!
% 3.65/0.89 % (30727)------------------------------
% 3.65/0.89 % (30727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.89 % (30727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.89 % (30727)Termination reason: Unknown
% 3.65/0.89 % (30727)Termination phase: Saturation
% 3.65/0.89
% 3.65/0.89 % (30727)Memory used [KB]: 7419
% 3.65/0.89 % (30727)Time elapsed: 0.449 s
% 3.65/0.89 % (30727)Instructions burned: 102 (million)
% 3.65/0.89 % (30727)------------------------------
% 3.65/0.89 % (30727)------------------------------
% 3.65/0.89 % (30756)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.65/0.90 % (30733)Instruction limit reached!
% 3.65/0.90 % (30733)------------------------------
% 3.65/0.90 % (30733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.90 % (30733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.90 % (30733)Termination reason: Unknown
% 3.65/0.90 % (30733)Termination phase: Saturation
% 3.65/0.90
% 3.65/0.90 % (30733)Memory used [KB]: 7291
% 3.65/0.90 % (30733)Time elapsed: 0.076 s
% 3.65/0.90 % (30733)Instructions burned: 100 (million)
% 3.65/0.90 % (30733)------------------------------
% 3.65/0.90 % (30733)------------------------------
% 3.65/0.90 % (30738)Refutation found. Thanks to Tanya!
% 3.65/0.90 % SZS status Theorem for theBenchmark
% 3.65/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/0.91 % (30738)------------------------------
% 3.65/0.91 % (30738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.91 % (30738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.91 % (30738)Termination reason: Refutation
% 3.65/0.91
% 3.65/0.91 % (30738)Memory used [KB]: 8059
% 3.65/0.91 % (30738)Time elapsed: 0.100 s
% 3.65/0.91 % (30738)Instructions burned: 118 (million)
% 3.65/0.91 % (30738)------------------------------
% 3.65/0.91 % (30738)------------------------------
% 3.65/0.91 % (30714)Success in time 0.56 s
%------------------------------------------------------------------------------