TSTP Solution File: ALG110+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:11:15 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 124
% Syntax : Number of formulae : 598 ( 119 unt; 0 def)
% Number of atoms : 2608 (1755 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3143 (1133 ~;1371 |; 550 &)
% ( 89 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 111 ( 109 usr; 110 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2580,plain,
$false,
inference(avatar_sat_refutation,[],[f535,f564,f593,f890,f1102,f1116,f1126,f1182,f1193,f1194,f1202,f1219,f1288,f1312,f1349,f1356,f1373,f1378,f1397,f1401,f1403,f1412,f1460,f1470,f1545,f1546,f1557,f1558,f1560,f1561,f1576,f1645,f1689,f1711,f1724,f1734,f1748,f1754,f1758,f1762,f1764,f1766,f1773,f1796,f1800,f1803,f1804,f1829,f1853,f1870,f1891,f1895,f1915,f1921,f1962,f1997,f2000,f2021,f2025,f2039,f2043,f2045,f2050,f2052,f2071,f2075,f2080,f2091,f2094,f2097,f2105,f2121,f2145,f2152,f2179,f2181,f2183,f2190,f2195,f2213,f2241,f2290,f2313,f2343,f2367,f2385,f2404,f2423,f2443,f2463,f2481,f2500,f2519,f2538,f2556,f2579]) ).
fof(f2579,plain,
( ~ spl20_18
| ~ spl20_24
| spl20_95
| ~ spl20_97
| ~ spl20_163
| ~ spl20_209 ),
inference(avatar_contradiction_clause,[],[f2578]) ).
fof(f2578,plain,
( $false
| ~ spl20_18
| ~ spl20_24
| spl20_95
| ~ spl20_97
| ~ spl20_163
| ~ spl20_209 ),
inference(subsumption_resolution,[],[f2577,f1628]) ).
fof(f1628,plain,
( e21 = op2(e23,e22)
| ~ spl20_209 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1626,plain,
( spl20_209
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).
fof(f2577,plain,
( e21 != op2(e23,e22)
| ~ spl20_18
| ~ spl20_24
| spl20_95
| ~ spl20_97
| ~ spl20_163 ),
inference(forward_demodulation,[],[f2576,f562]) ).
fof(f562,plain,
( e21 = h3(e11)
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl20_24
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f2576,plain,
( op2(e23,e22) != h3(e11)
| ~ spl20_18
| spl20_95
| ~ spl20_97
| ~ spl20_163 ),
inference(forward_demodulation,[],[f2575,f1269]) ).
fof(f1269,plain,
( e11 = op1(e13,e12)
| ~ spl20_163 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl20_163
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f2575,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl20_18
| spl20_95
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2574,f888]) ).
fof(f888,plain,
( e23 = h3(e13)
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl20_97
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f2574,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| ~ spl20_18
| spl20_95 ),
inference(forward_demodulation,[],[f881,f533]) ).
fof(f533,plain,
( e22 = h3(e12)
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl20_18
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f881,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl20_95 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl20_95
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f2556,plain,
( ~ spl20_30
| spl20_96
| ~ spl20_97 ),
inference(avatar_contradiction_clause,[],[f2555]) ).
fof(f2555,plain,
( $false
| ~ spl20_30
| spl20_96
| ~ spl20_97 ),
inference(subsumption_resolution,[],[f2554,f1416]) ).
fof(f1416,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[],[f273,f275]) ).
fof(f275,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e20 = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax13) ).
fof(f273,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f2554,plain,
( e20 != op2(e23,e23)
| ~ spl20_30
| spl20_96
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2553,f591]) ).
fof(f591,plain,
( e20 = h3(e10)
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f590,plain,
( spl20_30
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f2553,plain,
( op2(e23,e23) != h3(e10)
| spl20_96
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2552,f1075]) ).
fof(f1075,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[],[f134,f136]) ).
fof(f136,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e10 = op1(op1(e12,e12),op1(e12,e12)) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax12) ).
fof(f134,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f2552,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl20_96
| ~ spl20_97 ),
inference(forward_demodulation,[],[f885,f888]) ).
fof(f885,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl20_96 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f883,plain,
( spl20_96
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f2538,plain,
( ~ spl20_24
| spl20_94
| ~ spl20_97
| ~ spl20_151
| ~ spl20_193 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl20_24
| spl20_94
| ~ spl20_97
| ~ spl20_151
| ~ spl20_193 ),
inference(subsumption_resolution,[],[f2536,f1474]) ).
fof(f1474,plain,
( e23 = op2(e23,e21)
| ~ spl20_193 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1473,plain,
( spl20_193
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_193])]) ).
fof(f2536,plain,
( e23 != op2(e23,e21)
| ~ spl20_24
| spl20_94
| ~ spl20_97
| ~ spl20_151 ),
inference(forward_demodulation,[],[f2535,f888]) ).
fof(f2535,plain,
( op2(e23,e21) != h3(e13)
| ~ spl20_24
| spl20_94
| ~ spl20_97
| ~ spl20_151 ),
inference(forward_demodulation,[],[f2534,f1135]) ).
fof(f1135,plain,
( e13 = op1(e13,e11)
| ~ spl20_151 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1134,plain,
( spl20_151
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f2534,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl20_24
| spl20_94
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2533,f888]) ).
fof(f2533,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| ~ spl20_24
| spl20_94 ),
inference(forward_demodulation,[],[f877,f562]) ).
fof(f877,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl20_94 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl20_94
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f2519,plain,
( ~ spl20_18
| ~ spl20_30
| spl20_93
| ~ spl20_97
| ~ spl20_158
| ~ spl20_204 ),
inference(avatar_contradiction_clause,[],[f2518]) ).
fof(f2518,plain,
( $false
| ~ spl20_18
| ~ spl20_30
| spl20_93
| ~ spl20_97
| ~ spl20_158
| ~ spl20_204 ),
inference(subsumption_resolution,[],[f2517,f1606]) ).
fof(f1606,plain,
( e22 = op2(e23,e20)
| ~ spl20_204 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl20_204
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).
fof(f2517,plain,
( e22 != op2(e23,e20)
| ~ spl20_18
| ~ spl20_30
| spl20_93
| ~ spl20_97
| ~ spl20_158 ),
inference(forward_demodulation,[],[f2516,f533]) ).
fof(f2516,plain,
( op2(e23,e20) != h3(e12)
| ~ spl20_30
| spl20_93
| ~ spl20_97
| ~ spl20_158 ),
inference(forward_demodulation,[],[f2515,f1246]) ).
fof(f1246,plain,
( e12 = op1(e13,e10)
| ~ spl20_158 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1244,plain,
( spl20_158
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_158])]) ).
fof(f2515,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl20_30
| spl20_93
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2514,f888]) ).
fof(f2514,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl20_30
| spl20_93 ),
inference(forward_demodulation,[],[f873,f591]) ).
fof(f873,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl20_93 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f871,plain,
( spl20_93
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f2500,plain,
( ~ spl20_18
| spl20_92
| ~ spl20_97
| ~ spl20_154
| ~ spl20_197 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2499,plain,
( $false
| ~ spl20_18
| spl20_92
| ~ spl20_97
| ~ spl20_154
| ~ spl20_197 ),
inference(subsumption_resolution,[],[f2498,f1495]) ).
fof(f1495,plain,
( e22 = op2(e22,e23)
| ~ spl20_197 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl20_197
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_197])]) ).
fof(f2498,plain,
( e22 != op2(e22,e23)
| ~ spl20_18
| spl20_92
| ~ spl20_97
| ~ spl20_154 ),
inference(forward_demodulation,[],[f2497,f533]) ).
fof(f2497,plain,
( op2(e22,e23) != h3(e12)
| ~ spl20_18
| spl20_92
| ~ spl20_97
| ~ spl20_154 ),
inference(forward_demodulation,[],[f2496,f1154]) ).
fof(f1154,plain,
( e12 = op1(e12,e13)
| ~ spl20_154 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1152,plain,
( spl20_154
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_154])]) ).
fof(f2496,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl20_18
| spl20_92
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2495,f533]) ).
fof(f2495,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl20_92
| ~ spl20_97 ),
inference(forward_demodulation,[],[f869,f888]) ).
fof(f869,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl20_92 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl20_92
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f2481,plain,
( ~ spl20_18
| spl20_91
| ~ spl20_97 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2480,plain,
( $false
| ~ spl20_18
| spl20_91
| ~ spl20_97 ),
inference(subsumption_resolution,[],[f2479,f275]) ).
fof(f2479,plain,
( e23 != op2(e22,e22)
| ~ spl20_18
| spl20_91
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2478,f888]) ).
fof(f2478,plain,
( op2(e22,e22) != h3(e13)
| ~ spl20_18
| spl20_91 ),
inference(forward_demodulation,[],[f2477,f136]) ).
fof(f2477,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| ~ spl20_18
| spl20_91 ),
inference(forward_demodulation,[],[f865,f533]) ).
fof(f865,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl20_91 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl20_91
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f2463,plain,
( ~ spl20_18
| ~ spl20_24
| spl20_90
| ~ spl20_167
| ~ spl20_213 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2462,plain,
( $false
| ~ spl20_18
| ~ spl20_24
| spl20_90
| ~ spl20_167
| ~ spl20_213 ),
inference(subsumption_resolution,[],[f2461,f1654]) ).
fof(f1654,plain,
( e21 = op2(e22,e21)
| ~ spl20_213 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1652,plain,
( spl20_213
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_213])]) ).
fof(f2461,plain,
( e21 != op2(e22,e21)
| ~ spl20_18
| ~ spl20_24
| spl20_90
| ~ spl20_167 ),
inference(forward_demodulation,[],[f2460,f562]) ).
fof(f2460,plain,
( op2(e22,e21) != h3(e11)
| ~ spl20_18
| ~ spl20_24
| spl20_90
| ~ spl20_167 ),
inference(forward_demodulation,[],[f2459,f1297]) ).
fof(f1297,plain,
( e11 = op1(e12,e11)
| ~ spl20_167 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1295,plain,
( spl20_167
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_167])]) ).
fof(f2459,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl20_18
| ~ spl20_24
| spl20_90 ),
inference(forward_demodulation,[],[f2458,f533]) ).
fof(f2458,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl20_24
| spl20_90 ),
inference(forward_demodulation,[],[f861,f562]) ).
fof(f861,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl20_90 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl20_90
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f2443,plain,
( ~ spl20_18
| ~ spl20_30
| spl20_89
| ~ spl20_171
| ~ spl20_217 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2442,plain,
( $false
| ~ spl20_18
| ~ spl20_30
| spl20_89
| ~ spl20_171
| ~ spl20_217 ),
inference(subsumption_resolution,[],[f2441,f1674]) ).
fof(f1674,plain,
( e20 = op2(e22,e20)
| ~ spl20_217 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1672,plain,
( spl20_217
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_217])]) ).
fof(f2441,plain,
( e20 != op2(e22,e20)
| ~ spl20_18
| ~ spl20_30
| spl20_89
| ~ spl20_171 ),
inference(forward_demodulation,[],[f2440,f591]) ).
fof(f2440,plain,
( op2(e22,e20) != h3(e10)
| ~ spl20_18
| ~ spl20_30
| spl20_89
| ~ spl20_171 ),
inference(forward_demodulation,[],[f2439,f1317]) ).
fof(f1317,plain,
( e10 = op1(e12,e10)
| ~ spl20_171 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1315,plain,
( spl20_171
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_171])]) ).
fof(f2439,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl20_18
| ~ spl20_30
| spl20_89 ),
inference(forward_demodulation,[],[f2438,f533]) ).
fof(f2438,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl20_30
| spl20_89 ),
inference(forward_demodulation,[],[f857,f591]) ).
fof(f857,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl20_89 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f855,plain,
( spl20_89
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f2423,plain,
( ~ spl20_24
| spl20_88
| ~ spl20_97
| ~ spl20_202 ),
inference(avatar_contradiction_clause,[],[f2422]) ).
fof(f2422,plain,
( $false
| ~ spl20_24
| spl20_88
| ~ spl20_97
| ~ spl20_202 ),
inference(subsumption_resolution,[],[f2421,f1588]) ).
fof(f1588,plain,
( e23 = op2(e21,e23)
| ~ spl20_202 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1586,plain,
( spl20_202
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_202])]) ).
fof(f2421,plain,
( e23 != op2(e21,e23)
| ~ spl20_24
| spl20_88
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2420,f888]) ).
fof(f2420,plain,
( op2(e21,e23) != h3(e13)
| ~ spl20_24
| spl20_88
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2419,f1226]) ).
fof(f1226,plain,
e13 = op1(e11,e13),
inference(subsumption_resolution,[],[f1225,f132]) ).
fof(f132,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax7) ).
fof(f1225,plain,
( e11 = e13
| e13 = op1(e11,e13) ),
inference(forward_demodulation,[],[f1224,f1076]) ).
fof(f1076,plain,
e11 = op1(e10,e13),
inference(backward_demodulation,[],[f1074,f1075]) ).
fof(f1074,plain,
e11 = op1(op1(e13,e13),e13),
inference(forward_demodulation,[],[f135,f136]) ).
fof(f135,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f1224,plain,
( e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1223,f130]) ).
fof(f130,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1223,plain,
( e10 = e13
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f1222,f1075]) ).
fof(f1222,plain,
( e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f256,f1206]) ).
fof(f1206,plain,
e13 != op1(e12,e13),
inference(forward_demodulation,[],[f218,f136]) ).
fof(f218,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax5) ).
fof(f256,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax2) ).
fof(f2419,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl20_24
| spl20_88
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2418,f562]) ).
fof(f2418,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl20_88
| ~ spl20_97 ),
inference(forward_demodulation,[],[f853,f888]) ).
fof(f853,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl20_88 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f851,plain,
( spl20_88
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f2404,plain,
( ~ spl20_18
| ~ spl20_24
| spl20_87
| ~ spl20_165
| ~ spl20_211 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| ~ spl20_18
| ~ spl20_24
| spl20_87
| ~ spl20_165
| ~ spl20_211 ),
inference(subsumption_resolution,[],[f2402,f1638]) ).
fof(f1638,plain,
( e22 = op2(e21,e22)
| ~ spl20_211 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1636,plain,
( spl20_211
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_211])]) ).
fof(f2402,plain,
( e22 != op2(e21,e22)
| ~ spl20_18
| ~ spl20_24
| spl20_87
| ~ spl20_165 ),
inference(forward_demodulation,[],[f2401,f533]) ).
fof(f2401,plain,
( op2(e21,e22) != h3(e12)
| ~ spl20_18
| ~ spl20_24
| spl20_87
| ~ spl20_165 ),
inference(forward_demodulation,[],[f2400,f1280]) ).
fof(f1280,plain,
( e12 = op1(e11,e12)
| ~ spl20_165 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1278,plain,
( spl20_165
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_165])]) ).
fof(f2400,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl20_18
| ~ spl20_24
| spl20_87 ),
inference(forward_demodulation,[],[f2399,f562]) ).
fof(f2399,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl20_18
| spl20_87 ),
inference(forward_demodulation,[],[f849,f533]) ).
fof(f849,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl20_87 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f847,plain,
( spl20_87
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f2385,plain,
( ~ spl20_24
| ~ spl20_30
| spl20_86
| ~ spl20_178
| ~ spl20_225 ),
inference(avatar_contradiction_clause,[],[f2384]) ).
fof(f2384,plain,
( $false
| ~ spl20_24
| ~ spl20_30
| spl20_86
| ~ spl20_178
| ~ spl20_225 ),
inference(subsumption_resolution,[],[f2383,f1717]) ).
fof(f1717,plain,
( e20 = op2(e21,e21)
| ~ spl20_225 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1715,plain,
( spl20_225
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).
fof(f2383,plain,
( e20 != op2(e21,e21)
| ~ spl20_24
| ~ spl20_30
| spl20_86
| ~ spl20_178 ),
inference(forward_demodulation,[],[f2382,f591]) ).
fof(f2382,plain,
( op2(e21,e21) != h3(e10)
| ~ spl20_24
| spl20_86
| ~ spl20_178 ),
inference(forward_demodulation,[],[f2381,f1355]) ).
fof(f1355,plain,
( e10 = op1(e11,e11)
| ~ spl20_178 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1353,plain,
( spl20_178
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_178])]) ).
fof(f2381,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl20_24
| spl20_86 ),
inference(forward_demodulation,[],[f845,f562]) ).
fof(f845,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl20_86 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl20_86
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f2367,plain,
( ~ spl20_24
| ~ spl20_30
| spl20_85
| ~ spl20_147
| ~ spl20_189 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| ~ spl20_24
| ~ spl20_30
| spl20_85
| ~ spl20_147
| ~ spl20_189 ),
inference(subsumption_resolution,[],[f2365,f1453]) ).
fof(f1453,plain,
( e21 = op2(e21,e20)
| ~ spl20_189 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl20_189
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f2365,plain,
( e21 != op2(e21,e20)
| ~ spl20_24
| ~ spl20_30
| spl20_85
| ~ spl20_147 ),
inference(forward_demodulation,[],[f2364,f562]) ).
fof(f2364,plain,
( op2(e21,e20) != h3(e11)
| ~ spl20_24
| ~ spl20_30
| spl20_85
| ~ spl20_147 ),
inference(forward_demodulation,[],[f2363,f1109]) ).
fof(f1109,plain,
( e11 = op1(e11,e10)
| ~ spl20_147 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1108,plain,
( spl20_147
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f2363,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl20_24
| ~ spl20_30
| spl20_85 ),
inference(forward_demodulation,[],[f2362,f562]) ).
fof(f2362,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl20_30
| spl20_85 ),
inference(forward_demodulation,[],[f841,f591]) ).
fof(f841,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl20_85 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f839,plain,
( spl20_85
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f2343,plain,
( ~ spl20_24
| ~ spl20_30
| spl20_84
| ~ spl20_97 ),
inference(avatar_contradiction_clause,[],[f2342]) ).
fof(f2342,plain,
( $false
| ~ spl20_24
| ~ spl20_30
| spl20_84
| ~ spl20_97 ),
inference(subsumption_resolution,[],[f2341,f1417]) ).
fof(f1417,plain,
e21 = op2(e20,e23),
inference(backward_demodulation,[],[f1415,f1416]) ).
fof(f1415,plain,
e21 = op2(op2(e23,e23),e23),
inference(forward_demodulation,[],[f274,f275]) ).
fof(f274,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f2341,plain,
( e21 != op2(e20,e23)
| ~ spl20_24
| ~ spl20_30
| spl20_84
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2340,f562]) ).
fof(f2340,plain,
( op2(e20,e23) != h3(e11)
| ~ spl20_30
| spl20_84
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2339,f1076]) ).
fof(f2339,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl20_30
| spl20_84
| ~ spl20_97 ),
inference(forward_demodulation,[],[f2338,f591]) ).
fof(f2338,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl20_84
| ~ spl20_97 ),
inference(forward_demodulation,[],[f837,f888]) ).
fof(f837,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl20_84 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl20_84
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f2313,plain,
( ~ spl20_18
| ~ spl20_30
| spl20_83
| ~ spl20_145
| ~ spl20_187 ),
inference(avatar_contradiction_clause,[],[f2312]) ).
fof(f2312,plain,
( $false
| ~ spl20_18
| ~ spl20_30
| spl20_83
| ~ spl20_145
| ~ spl20_187 ),
inference(subsumption_resolution,[],[f2311,f1445]) ).
fof(f1445,plain,
( e20 = op2(e20,e22)
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1443,plain,
( spl20_187
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f2311,plain,
( e20 != op2(e20,e22)
| ~ spl20_18
| ~ spl20_30
| spl20_83
| ~ spl20_145 ),
inference(forward_demodulation,[],[f2310,f591]) ).
fof(f2310,plain,
( op2(e20,e22) != h3(e10)
| ~ spl20_18
| ~ spl20_30
| spl20_83
| ~ spl20_145 ),
inference(forward_demodulation,[],[f2309,f1101]) ).
fof(f1101,plain,
( e10 = op1(e10,e12)
| ~ spl20_145 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1099,plain,
( spl20_145
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f2309,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl20_18
| ~ spl20_30
| spl20_83 ),
inference(forward_demodulation,[],[f2308,f591]) ).
fof(f2308,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl20_18
| spl20_83 ),
inference(forward_demodulation,[],[f833,f533]) ).
fof(f833,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl20_83 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f831,plain,
( spl20_83
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f2290,plain,
( ~ spl20_18
| ~ spl20_24
| ~ spl20_30
| spl20_82
| ~ spl20_174
| ~ spl20_222 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2289,plain,
( $false
| ~ spl20_18
| ~ spl20_24
| ~ spl20_30
| spl20_82
| ~ spl20_174
| ~ spl20_222 ),
inference(subsumption_resolution,[],[f2288,f1699]) ).
fof(f1699,plain,
( e22 = op2(e20,e21)
| ~ spl20_222 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1697,plain,
( spl20_222
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_222])]) ).
fof(f2288,plain,
( e22 != op2(e20,e21)
| ~ spl20_18
| ~ spl20_24
| ~ spl20_30
| spl20_82
| ~ spl20_174 ),
inference(forward_demodulation,[],[f2287,f533]) ).
fof(f2287,plain,
( op2(e20,e21) != h3(e12)
| ~ spl20_24
| ~ spl20_30
| spl20_82
| ~ spl20_174 ),
inference(forward_demodulation,[],[f2286,f1333]) ).
fof(f1333,plain,
( e12 = op1(e10,e11)
| ~ spl20_174 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl20_174
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f2286,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl20_24
| ~ spl20_30
| spl20_82 ),
inference(forward_demodulation,[],[f2285,f591]) ).
fof(f2285,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl20_24
| spl20_82 ),
inference(forward_demodulation,[],[f829,f562]) ).
fof(f829,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl20_82 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl20_82
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f2241,plain,
( ~ spl20_147
| ~ spl20_176 ),
inference(avatar_contradiction_clause,[],[f2240]) ).
fof(f2240,plain,
( $false
| ~ spl20_147
| ~ spl20_176 ),
inference(subsumption_resolution,[],[f2239,f131]) ).
fof(f131,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2239,plain,
( e11 = e12
| ~ spl20_147
| ~ spl20_176 ),
inference(forward_demodulation,[],[f1342,f1109]) ).
fof(f1342,plain,
( e12 = op1(e11,e10)
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1340,plain,
( spl20_176
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_176])]) ).
fof(f2213,plain,
( ~ spl20_183
| ~ spl20_193 ),
inference(avatar_split_clause,[],[f2059,f1473,f1423]) ).
fof(f1423,plain,
( spl20_183
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f2059,plain,
( e23 != op2(e23,e20)
| ~ spl20_193 ),
inference(forward_demodulation,[],[f380,f1474]) ).
fof(f380,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax6) ).
fof(f2195,plain,
( ~ spl20_142
| ~ spl20_151 ),
inference(avatar_split_clause,[],[f2008,f1134,f1082]) ).
fof(f1082,plain,
( spl20_142
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_142])]) ).
fof(f2008,plain,
( e13 != op1(e13,e10)
| ~ spl20_151 ),
inference(forward_demodulation,[],[f219,f1135]) ).
fof(f219,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2190,plain,
( ~ spl20_156
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f2189,f1108,f1171]) ).
fof(f1171,plain,
( spl20_156
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).
fof(f2189,plain,
( e11 != op1(e11,e12)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f208,f1109]) ).
fof(f208,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2183,plain,
( ~ spl20_150
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f2014,f1099,f1122]) ).
fof(f1122,plain,
( spl20_150
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_150])]) ).
fof(f2014,plain,
( e10 != op1(e10,e10)
| ~ spl20_145 ),
inference(forward_demodulation,[],[f202,f1101]) ).
fof(f202,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2181,plain,
( ~ spl20_181
| ~ spl20_174 ),
inference(avatar_split_clause,[],[f2180,f1331,f1375]) ).
fof(f1375,plain,
( spl20_181
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_181])]) ).
fof(f2180,plain,
( op1(e10,e10) != e12
| ~ spl20_174 ),
inference(forward_demodulation,[],[f201,f1333]) ).
fof(f201,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2179,plain,
( ~ spl20_227
| ~ spl20_30
| spl20_81
| ~ spl20_97
| ~ spl20_180 ),
inference(avatar_split_clause,[],[f2178,f1366,f887,f823,f590,f1727]) ).
fof(f1727,plain,
( spl20_227
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_227])]) ).
fof(f823,plain,
( spl20_81
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f1366,plain,
( spl20_180
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).
fof(f2178,plain,
( op2(e20,e20) != e23
| ~ spl20_30
| spl20_81
| ~ spl20_97
| ~ spl20_180 ),
inference(forward_demodulation,[],[f2177,f888]) ).
fof(f2177,plain,
( op2(e20,e20) != h3(e13)
| ~ spl20_30
| spl20_81
| ~ spl20_180 ),
inference(backward_demodulation,[],[f2161,f1368]) ).
fof(f1368,plain,
( op1(e10,e10) = e13
| ~ spl20_180 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f2161,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl20_30
| spl20_81 ),
inference(forward_demodulation,[],[f825,f591]) ).
fof(f825,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl20_81 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f2152,plain,
( ~ spl20_151
| ~ spl20_162 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2151,plain,
( $false
| ~ spl20_151
| ~ spl20_162 ),
inference(subsumption_resolution,[],[f2150,f132]) ).
fof(f2150,plain,
( e11 = e13
| ~ spl20_151
| ~ spl20_162 ),
inference(backward_demodulation,[],[f1135,f1265]) ).
fof(f1265,plain,
( e11 = op1(e13,e11)
| ~ spl20_162 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl20_162
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f2145,plain,
( ~ spl20_171
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f2143,f1319,f1315]) ).
fof(f1319,plain,
( spl20_172
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_172])]) ).
fof(f2143,plain,
( e10 != op1(e12,e10)
| ~ spl20_172 ),
inference(backward_demodulation,[],[f213,f1321]) ).
fof(f1321,plain,
( e10 = op1(e12,e11)
| ~ spl20_172 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f213,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2121,plain,
( ~ spl20_193
| ~ spl20_208 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl20_193
| ~ spl20_208 ),
inference(subsumption_resolution,[],[f2119,f336]) ).
fof(f336,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax8) ).
fof(f2119,plain,
( e21 = e23
| ~ spl20_193
| ~ spl20_208 ),
inference(backward_demodulation,[],[f1474,f1624]) ).
fof(f1624,plain,
( e21 = op2(e23,e21)
| ~ spl20_208 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1622,plain,
( spl20_208
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_208])]) ).
fof(f2105,plain,
( spl20_117
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f2104,f1686,f971]) ).
fof(f971,plain,
( spl20_117
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1686,plain,
( spl20_220
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_220])]) ).
fof(f2104,plain,
( e23 = h2(e13)
| ~ spl20_220 ),
inference(backward_demodulation,[],[f441,f1688]) ).
fof(f1688,plain,
( e23 = op2(e21,e21)
| ~ spl20_220 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f441,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax15) ).
fof(f2097,plain,
( spl20_184
| ~ spl20_189
| ~ spl20_226 ),
inference(avatar_contradiction_clause,[],[f2096]) ).
fof(f2096,plain,
( $false
| spl20_184
| ~ spl20_189
| ~ spl20_226 ),
inference(subsumption_resolution,[],[f2095,f1430]) ).
fof(f1430,plain,
( e20 != e21
| spl20_184 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl20_184
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_184])]) ).
fof(f2095,plain,
( e20 = e21
| ~ spl20_189
| ~ spl20_226 ),
inference(backward_demodulation,[],[f1453,f1723]) ).
fof(f1723,plain,
( e20 = op2(e21,e20)
| ~ spl20_226 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f1721,plain,
( spl20_226
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f2094,plain,
( ~ spl20_192
| spl20_195
| ~ spl20_227 ),
inference(avatar_contradiction_clause,[],[f2093]) ).
fof(f2093,plain,
( $false
| ~ spl20_192
| spl20_195
| ~ spl20_227 ),
inference(subsumption_resolution,[],[f2092,f1483]) ).
fof(f1483,plain,
( e20 != e23
| spl20_195 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1481,plain,
( spl20_195
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f2092,plain,
( e20 = e23
| ~ spl20_192
| ~ spl20_227 ),
inference(forward_demodulation,[],[f1729,f1467]) ).
fof(f1467,plain,
( e20 = op2(e20,e20)
| ~ spl20_192 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1466,plain,
( spl20_192
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_192])]) ).
fof(f1729,plain,
( op2(e20,e20) = e23
| ~ spl20_227 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f2091,plain,
( ~ spl20_219
| ~ spl20_193 ),
inference(avatar_split_clause,[],[f2090,f1473,f1682]) ).
fof(f1682,plain,
( spl20_219
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).
fof(f2090,plain,
( e23 != op2(e20,e21)
| ~ spl20_193 ),
inference(forward_demodulation,[],[f346,f1474]) ).
fof(f346,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2080,plain,
( ~ spl20_189
| ~ spl20_200 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl20_189
| ~ spl20_200 ),
inference(subsumption_resolution,[],[f2078,f1453]) ).
fof(f2078,plain,
( e21 != op2(e21,e20)
| ~ spl20_200 ),
inference(forward_demodulation,[],[f369,f1521]) ).
fof(f1521,plain,
( e21 = op2(e21,e22)
| ~ spl20_200 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1519,plain,
( spl20_200
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_200])]) ).
fof(f369,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2075,plain,
( ~ spl20_212
| ~ spl20_189 ),
inference(avatar_split_clause,[],[f2074,f1452,f1648]) ).
fof(f1648,plain,
( spl20_212
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_212])]) ).
fof(f2074,plain,
( e21 != op2(e22,e20)
| ~ spl20_189 ),
inference(forward_demodulation,[],[f341,f1453]) ).
fof(f341,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2071,plain,
( ~ spl20_186
| ~ spl20_197 ),
inference(avatar_split_clause,[],[f2070,f1493,f1438]) ).
fof(f1438,plain,
( spl20_186
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_186])]) ).
fof(f2070,plain,
( e22 != op2(e22,e20)
| ~ spl20_197 ),
inference(forward_demodulation,[],[f376,f1495]) ).
fof(f376,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2052,plain,
( ~ spl20_117
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f2051,f1586,f971]) ).
fof(f2051,plain,
( e23 != h2(e13)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f1790,f1588]) ).
fof(f1790,plain,
op2(e21,e23) != h2(e13),
inference(backward_demodulation,[],[f372,f441]) ).
fof(f372,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2050,plain,
( ~ spl20_203
| ~ spl20_197 ),
inference(avatar_split_clause,[],[f2049,f1493,f1597]) ).
fof(f1597,plain,
( spl20_203
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_203])]) ).
fof(f2049,plain,
( e22 != op2(e21,e23)
| ~ spl20_197 ),
inference(forward_demodulation,[],[f359,f1495]) ).
fof(f359,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2045,plain,
( ~ spl20_198
| ~ spl20_197 ),
inference(avatar_split_clause,[],[f2044,f1493,f1509]) ).
fof(f1509,plain,
( spl20_198
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_198])]) ).
fof(f2044,plain,
( e22 != op2(e22,e21)
| ~ spl20_197 ),
inference(forward_demodulation,[],[f378,f1495]) ).
fof(f378,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2043,plain,
( ~ spl20_173
| ~ spl20_151 ),
inference(avatar_split_clause,[],[f2042,f1134,f1326]) ).
fof(f1326,plain,
( spl20_173
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_173])]) ).
fof(f2042,plain,
( e13 != op1(e10,e11)
| ~ spl20_151 ),
inference(forward_demodulation,[],[f185,f1135]) ).
fof(f185,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2039,plain,
( ~ spl20_148
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f2038,f1099,f1113]) ).
fof(f1113,plain,
( spl20_148
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_148])]) ).
fof(f2038,plain,
( e10 != op1(e10,e11)
| ~ spl20_145 ),
inference(forward_demodulation,[],[f204,f1101]) ).
fof(f204,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2025,plain,
( ~ spl20_166
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f2024,f1108,f1291]) ).
fof(f1291,plain,
( spl20_166
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_166])]) ).
fof(f2024,plain,
( e11 != op1(e12,e10)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f180,f1109]) ).
fof(f180,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2021,plain,
( ~ spl20_144
| ~ spl20_154 ),
inference(avatar_split_clause,[],[f2020,f1152,f1094]) ).
fof(f1094,plain,
( spl20_144
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f2020,plain,
( e12 != op1(e12,e10)
| ~ spl20_154 ),
inference(forward_demodulation,[],[f215,f1154]) ).
fof(f215,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2000,plain,
( ~ spl20_157
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f1999,f1108,f1184]) ).
fof(f1184,plain,
( spl20_157
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_157])]) ).
fof(f1999,plain,
( e11 != op1(e11,e11)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f207,f1109]) ).
fof(f207,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1997,plain,
( ~ spl20_155
| ~ spl20_154 ),
inference(avatar_split_clause,[],[f1996,f1152,f1164]) ).
fof(f1164,plain,
( spl20_155
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f1996,plain,
( e12 != op1(e12,e11)
| ~ spl20_154 ),
inference(forward_demodulation,[],[f217,f1154]) ).
fof(f217,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1962,plain,
( ~ spl20_156
| ~ spl20_169 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| ~ spl20_156
| ~ spl20_169 ),
inference(subsumption_resolution,[],[f1960,f128]) ).
fof(f128,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f1960,plain,
( e10 = e11
| ~ spl20_156
| ~ spl20_169 ),
inference(forward_demodulation,[],[f1173,f1307]) ).
fof(f1307,plain,
( e10 = op1(e11,e12)
| ~ spl20_169 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1305,plain,
( spl20_169
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_169])]) ).
fof(f1173,plain,
( e11 = op1(e11,e12)
| ~ spl20_156 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1921,plain,
( ~ spl20_145
| ~ spl20_169 ),
inference(avatar_split_clause,[],[f1916,f1305,f1099]) ).
fof(f1916,plain,
( e10 != op1(e10,e12)
| ~ spl20_169 ),
inference(backward_demodulation,[],[f189,f1307]) ).
fof(f189,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1915,plain,
~ spl20_170,
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1914,plain,
( $false
| ~ spl20_170 ),
inference(subsumption_resolution,[],[f1913,f130]) ).
fof(f1913,plain,
( e10 = e13
| ~ spl20_170 ),
inference(backward_demodulation,[],[f136,f1311]) ).
fof(f1311,plain,
( e10 = op1(e12,e12)
| ~ spl20_170 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl20_170
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_170])]) ).
fof(f1895,plain,
( ~ spl20_37
| ~ spl20_189 ),
inference(avatar_split_clause,[],[f1893,f1452,f623]) ).
fof(f623,plain,
( spl20_37
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f1893,plain,
( e21 != h2(e13)
| ~ spl20_189 ),
inference(backward_demodulation,[],[f1788,f1453]) ).
fof(f1788,plain,
op2(e21,e20) != h2(e13),
inference(backward_demodulation,[],[f368,f441]) ).
fof(f368,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1891,plain,
( ~ spl20_190
| spl20_195
| ~ spl20_219 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| ~ spl20_190
| spl20_195
| ~ spl20_219 ),
inference(subsumption_resolution,[],[f1888,f1483]) ).
fof(f1888,plain,
( e20 = e23
| ~ spl20_190
| ~ spl20_219 ),
inference(backward_demodulation,[],[f1684,f1459]) ).
fof(f1459,plain,
( e20 = op2(e20,e21)
| ~ spl20_190 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1457,plain,
( spl20_190
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f1684,plain,
( e23 = op2(e20,e21)
| ~ spl20_219 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1870,plain,
( spl20_37
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f1869,f1536,f623]) ).
fof(f1536,plain,
( spl20_201
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_201])]) ).
fof(f1869,plain,
( e21 = h2(e13)
| ~ spl20_201 ),
inference(backward_demodulation,[],[f441,f1537]) ).
fof(f1537,plain,
( e21 = op2(e21,e21)
| ~ spl20_201 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1853,plain,
( ~ spl20_189
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f1849,f1618,f1452]) ).
fof(f1618,plain,
( spl20_207
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_207])]) ).
fof(f1849,plain,
( e21 != op2(e21,e20)
| ~ spl20_207 ),
inference(backward_demodulation,[],[f342,f1620]) ).
fof(f1620,plain,
( e21 = op2(e23,e20)
| ~ spl20_207 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f342,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1829,plain,
( ~ spl20_187
| ~ spl20_215 ),
inference(avatar_split_clause,[],[f1823,f1662,f1443]) ).
fof(f1662,plain,
( spl20_215
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_215])]) ).
fof(f1823,plain,
( e20 != op2(e20,e22)
| ~ spl20_215 ),
inference(backward_demodulation,[],[f350,f1664]) ).
fof(f1664,plain,
( e20 = op2(e21,e22)
| ~ spl20_215 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f350,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1804,plain,
spl20_18,
inference(avatar_split_clause,[],[f442,f532]) ).
fof(f442,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax16) ).
fof(f1803,plain,
spl20_30,
inference(avatar_split_clause,[],[f1802,f590]) ).
fof(f1802,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f1801,f1416]) ).
fof(f1801,plain,
op2(e23,e23) = h3(e10),
inference(forward_demodulation,[],[f443,f275]) ).
fof(f443,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f1800,plain,
spl20_24,
inference(avatar_split_clause,[],[f1799,f561]) ).
fof(f1799,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f1798,f1417]) ).
fof(f1798,plain,
op2(e20,e23) = h3(e11),
inference(forward_demodulation,[],[f1797,f1416]) ).
fof(f1797,plain,
h3(e11) = op2(op2(e23,e23),e23),
inference(forward_demodulation,[],[f444,f275]) ).
fof(f444,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1796,plain,
spl20_97,
inference(avatar_split_clause,[],[f1795,f887]) ).
fof(f1795,plain,
e23 = h3(e13),
inference(forward_demodulation,[],[f445,f275]) ).
fof(f445,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f1773,plain,
( spl20_190
| spl20_222
| spl20_219 ),
inference(avatar_split_clause,[],[f1772,f1682,f1697,f1457]) ).
fof(f1772,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f419,f1569]) ).
fof(f1569,plain,
e21 != op2(e20,e21),
inference(forward_demodulation,[],[f366,f1417]) ).
fof(f366,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f419,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax3) ).
fof(f1766,plain,
( spl20_215
| spl20_200
| spl20_211 ),
inference(avatar_split_clause,[],[f1765,f1636,f1519,f1662]) ).
fof(f1765,plain,
( e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(subsumption_resolution,[],[f424,f1579]) ).
fof(f1579,plain,
e23 != op2(e21,e22),
inference(forward_demodulation,[],[f353,f275]) ).
fof(f353,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f424,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1764,plain,
( spl20_196
| spl20_203
| spl20_202 ),
inference(avatar_split_clause,[],[f1763,f1586,f1597,f1487]) ).
fof(f1487,plain,
( spl20_196
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).
fof(f1763,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f425,f1572]) ).
fof(f1572,plain,
e20 != op2(e21,e23),
inference(forward_demodulation,[],[f360,f1416]) ).
fof(f360,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f425,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1762,plain,
( spl20_217
| spl20_212
| spl20_186 ),
inference(avatar_split_clause,[],[f1761,f1438,f1648,f1672]) ).
fof(f1761,plain,
( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f426,f1567]) ).
fof(f1567,plain,
e23 != op2(e22,e20),
inference(forward_demodulation,[],[f375,f275]) ).
fof(f375,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f426,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1758,plain,
spl20_197,
inference(avatar_split_clause,[],[f1757,f1493]) ).
fof(f1757,plain,
e22 = op2(e22,e23),
inference(subsumption_resolution,[],[f1756,f1571]) ).
fof(f1571,plain,
e20 != op2(e22,e23),
inference(forward_demodulation,[],[f361,f1416]) ).
fof(f361,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1756,plain,
( e22 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f1755,f1574]) ).
fof(f1574,plain,
e21 != op2(e22,e23),
inference(forward_demodulation,[],[f357,f1417]) ).
fof(f357,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1755,plain,
( e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f429,f1565]) ).
fof(f1565,plain,
e23 != op2(e22,e23),
inference(forward_demodulation,[],[f379,f275]) ).
fof(f379,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f429,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1754,plain,
( spl20_207
| spl20_204
| spl20_183 ),
inference(avatar_split_clause,[],[f1753,f1423,f1604,f1618]) ).
fof(f1753,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f430,f1564]) ).
fof(f1564,plain,
e20 != op2(e23,e20),
inference(forward_demodulation,[],[f382,f1416]) ).
fof(f382,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f430,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1748,plain,
( spl20_192
| spl20_190
| spl20_187 ),
inference(avatar_split_clause,[],[f1747,f1443,f1457,f1466]) ).
fof(f1747,plain,
( e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f386,f1573]) ).
fof(f1573,plain,
e20 != op2(e20,e23),
inference(forward_demodulation,[],[f358,f1416]) ).
fof(f358,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f386,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax4) ).
fof(f1734,plain,
( spl20_227
| spl20_219 ),
inference(avatar_split_clause,[],[f1733,f1682,f1727]) ).
fof(f1733,plain,
( e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(subsumption_resolution,[],[f1732,f336]) ).
fof(f1732,plain,
( e21 = e23
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f1731,f1417]) ).
fof(f1731,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(subsumption_resolution,[],[f392,f1580]) ).
fof(f1580,plain,
e23 != op2(e20,e22),
inference(forward_demodulation,[],[f351,f275]) ).
fof(f351,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f392,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1724,plain,
( spl20_226
| spl20_225
| spl20_215 ),
inference(avatar_split_clause,[],[f1719,f1662,f1715,f1721]) ).
fof(f1719,plain,
( e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(subsumption_resolution,[],[f394,f1572]) ).
fof(f394,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1711,plain,
( spl20_201
| spl20_213
| spl20_208 ),
inference(avatar_split_clause,[],[f1710,f1622,f1652,f1536]) ).
fof(f1710,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21) ),
inference(subsumption_resolution,[],[f397,f1569]) ).
fof(f397,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1689,plain,
( spl20_219
| spl20_220
| spl20_193 ),
inference(avatar_split_clause,[],[f1680,f1473,f1686,f1682]) ).
fof(f1680,plain,
( e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f401,f1566]) ).
fof(f1566,plain,
e23 != op2(e22,e21),
inference(forward_demodulation,[],[f377,f275]) ).
fof(f377,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f401,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1645,plain,
( spl20_200
| spl20_209 ),
inference(avatar_split_clause,[],[f1644,f1626,f1519]) ).
fof(f1644,plain,
( e21 = op2(e23,e22)
| e21 = op2(e21,e22) ),
inference(subsumption_resolution,[],[f1643,f336]) ).
fof(f1643,plain,
( e21 = e23
| e21 = op2(e23,e22)
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[],[f1642,f275]) ).
fof(f1642,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22) ),
inference(subsumption_resolution,[],[f405,f1568]) ).
fof(f1568,plain,
e21 != op2(e20,e22),
inference(forward_demodulation,[],[f367,f1417]) ).
fof(f367,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f405,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1576,plain,
~ spl20_196,
inference(avatar_split_clause,[],[f1575,f1487]) ).
fof(f1575,plain,
e21 != op2(e21,e23),
inference(forward_demodulation,[],[f356,f1417]) ).
fof(f356,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1561,plain,
~ spl20_184,
inference(avatar_split_clause,[],[f332,f1429]) ).
fof(f332,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f1560,plain,
~ spl20_195,
inference(avatar_split_clause,[],[f334,f1481]) ).
fof(f334,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1558,plain,
( spl20_191
| spl20_189
| spl20_186
| spl20_183 ),
inference(avatar_split_clause,[],[f284,f1423,f1438,f1452,f1462]) ).
fof(f1462,plain,
( spl20_191
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f284,plain,
( e23 = op2(e23,e20)
| e22 = op2(e22,e20)
| e21 = op2(e21,e20)
| sP16 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e21)
& e21 = op2(e21,e23) )
| sP19 )
& ( ( e22 != op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| sP18 )
& ( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| sP17 )
& ( ( e20 != op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e21)
& e21 = op2(e21,e20) )
| sP16 ) ),
inference(definition_folding,[],[f11,f42,f41,f40,f39]) ).
fof(f39,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) ) )
& ( ( e22 != op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e20)
& e20 = op2(e20,e22) ) )
& ( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) ) )
& ( ( e20 != op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax11) ).
fof(f1557,plain,
( spl20_191
| ~ spl20_190
| spl20_186
| spl20_183 ),
inference(avatar_split_clause,[],[f285,f1423,f1438,f1457,f1462]) ).
fof(f285,plain,
( e23 = op2(e23,e20)
| e22 = op2(e22,e20)
| e20 != op2(e20,e21)
| sP16 ),
inference(cnf_transformation,[],[f43]) ).
fof(f1546,plain,
( spl20_188
| spl20_201
| spl20_198
| spl20_193 ),
inference(avatar_split_clause,[],[f292,f1473,f1509,f1536,f1448]) ).
fof(f1448,plain,
( spl20_188
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).
fof(f292,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,e21)
| e21 = op2(e21,e21)
| sP17 ),
inference(cnf_transformation,[],[f43]) ).
fof(f1545,plain,
( spl20_188
| ~ spl20_201
| spl20_198
| spl20_193 ),
inference(avatar_split_clause,[],[f293,f1473,f1509,f1536,f1448]) ).
fof(f293,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,e21)
| e21 != op2(e21,e21)
| sP17 ),
inference(cnf_transformation,[],[f43]) ).
fof(f1470,plain,
( ~ spl20_191
| spl20_192 ),
inference(avatar_split_clause,[],[f282,f1466,f1462]) ).
fof(f282,plain,
( e20 = op2(e20,e20)
| ~ sP16 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1460,plain,
( ~ spl20_188
| spl20_190 ),
inference(avatar_split_clause,[],[f280,f1457,f1448]) ).
fof(f280,plain,
( e20 = op2(e20,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1412,plain,
( spl20_148
| spl20_174
| spl20_173 ),
inference(avatar_split_clause,[],[f1411,f1326,f1331,f1113]) ).
fof(f1411,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f258,f1210]) ).
fof(f1210,plain,
e11 != op1(e10,e11),
inference(forward_demodulation,[],[f205,f1076]) ).
fof(f205,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax1) ).
fof(f1403,plain,
( spl20_169
| spl20_156
| spl20_165 ),
inference(avatar_split_clause,[],[f1402,f1278,f1171,f1305]) ).
fof(f1402,plain,
( e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(subsumption_resolution,[],[f263,f1220]) ).
fof(f1220,plain,
e13 != op1(e11,e12),
inference(forward_demodulation,[],[f192,f136]) ).
fof(f192,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f263,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1401,plain,
( spl20_171
| spl20_166
| spl20_144 ),
inference(avatar_split_clause,[],[f1400,f1094,f1291,f1315]) ).
fof(f1400,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f265,f1208]) ).
fof(f1208,plain,
e13 != op1(e12,e10),
inference(forward_demodulation,[],[f214,f136]) ).
fof(f214,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f265,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1397,plain,
spl20_154,
inference(avatar_split_clause,[],[f1396,f1152]) ).
fof(f1396,plain,
e12 = op1(e12,e13),
inference(subsumption_resolution,[],[f1395,f1212]) ).
fof(f1212,plain,
e10 != op1(e12,e13),
inference(forward_demodulation,[],[f200,f1075]) ).
fof(f200,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1395,plain,
( e12 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f1394,f1215]) ).
fof(f1215,plain,
e11 != op1(e12,e13),
inference(forward_demodulation,[],[f196,f1076]) ).
fof(f196,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1394,plain,
( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f268,f1206]) ).
fof(f268,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1378,plain,
( spl20_181
| spl20_176
| spl20_144
| spl20_158 ),
inference(avatar_split_clause,[],[f230,f1244,f1094,f1340,f1375]) ).
fof(f230,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1373,plain,
( spl20_180
| spl20_173 ),
inference(avatar_split_clause,[],[f1372,f1326,f1366]) ).
fof(f1372,plain,
( e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(subsumption_resolution,[],[f1371,f132]) ).
fof(f1371,plain,
( e11 = e13
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(forward_demodulation,[],[f1370,f1076]) ).
fof(f1370,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(subsumption_resolution,[],[f231,f1221]) ).
fof(f1221,plain,
e13 != op1(e10,e12),
inference(forward_demodulation,[],[f190,f136]) ).
fof(f190,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1356,plain,
( spl20_148
| spl20_178
| spl20_172 ),
inference(avatar_split_clause,[],[f1351,f1319,f1353,f1113]) ).
fof(f1351,plain,
( e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f234,f1204]) ).
fof(f1204,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[],[f223,f1075]) ).
fof(f223,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1349,plain,
( spl20_157
| spl20_167
| spl20_162 ),
inference(avatar_split_clause,[],[f1348,f1263,f1295,f1184]) ).
fof(f1348,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11) ),
inference(subsumption_resolution,[],[f236,f1210]) ).
fof(f236,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1312,plain,
( spl20_145
| spl20_169
| spl20_170 ),
inference(avatar_split_clause,[],[f1303,f1309,f1305,f1099]) ).
fof(f1303,plain,
( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f242,f1203]) ).
fof(f1203,plain,
e10 != op1(e13,e12),
inference(forward_demodulation,[],[f224,f1075]) ).
fof(f224,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1288,plain,
( spl20_156
| spl20_163 ),
inference(avatar_split_clause,[],[f1287,f1267,f1171]) ).
fof(f1287,plain,
( e11 = op1(e13,e12)
| e11 = op1(e11,e12) ),
inference(subsumption_resolution,[],[f1286,f132]) ).
fof(f1286,plain,
( e11 = e13
| e11 = op1(e13,e12)
| e11 = op1(e11,e12) ),
inference(forward_demodulation,[],[f1285,f136]) ).
fof(f1285,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12) ),
inference(subsumption_resolution,[],[f244,f1209]) ).
fof(f1209,plain,
e11 != op1(e10,e12),
inference(forward_demodulation,[],[f206,f1076]) ).
fof(f206,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1219,plain,
~ spl20_152,
inference(avatar_split_clause,[],[f1218,f1138]) ).
fof(f1138,plain,
( spl20_152
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_152])]) ).
fof(f1218,plain,
e13 != op1(e13,e12),
inference(forward_demodulation,[],[f194,f136]) ).
fof(f194,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1202,plain,
( spl20_149
| spl20_147
| spl20_144
| spl20_142 ),
inference(avatar_split_clause,[],[f145,f1082,f1094,f1108,f1118]) ).
fof(f1118,plain,
( spl20_149
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f145,plain,
( e13 = op1(e13,e10)
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| sP12 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e11)
& e11 = op1(e11,e13) )
| sP15 )
& ( ( e12 != op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| sP14 )
& ( ( e11 != op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| sP13 )
& ( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| sP12 ) ),
inference(definition_folding,[],[f10,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) ) )
& ( ( e12 != op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) ) )
& ( ( e11 != op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) ) )
& ( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',ax10) ).
fof(f1194,plain,
( spl20_146
| spl20_157
| spl20_155
| spl20_151 ),
inference(avatar_split_clause,[],[f153,f1134,f1164,f1184,f1104]) ).
fof(f1104,plain,
( spl20_146
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f153,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 = op1(e11,e11)
| sP13 ),
inference(cnf_transformation,[],[f38]) ).
fof(f1193,plain,
( spl20_146
| ~ spl20_157
| spl20_155
| spl20_151 ),
inference(avatar_split_clause,[],[f154,f1134,f1164,f1184,f1104]) ).
fof(f154,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 != op1(e11,e11)
| sP13 ),
inference(cnf_transformation,[],[f38]) ).
fof(f1182,plain,
( spl20_143
| spl20_156
| spl20_152 ),
inference(avatar_split_clause,[],[f1181,f1138,f1171,f1090]) ).
fof(f1090,plain,
( spl20_143
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f1181,plain,
( e13 = op1(e13,e12)
| e11 = op1(e11,e12)
| sP14 ),
inference(subsumption_resolution,[],[f1180,f133]) ).
fof(f133,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1180,plain,
( e12 = e13
| e13 = op1(e13,e12)
| e11 = op1(e11,e12)
| sP14 ),
inference(forward_demodulation,[],[f161,f136]) ).
fof(f161,plain,
( e13 = op1(e13,e12)
| e12 = op1(e12,e12)
| e11 = op1(e11,e12)
| sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f1126,plain,
( ~ spl20_149
| spl20_150 ),
inference(avatar_split_clause,[],[f143,f1122,f1118]) ).
fof(f143,plain,
( e10 = op1(e10,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1116,plain,
( ~ spl20_146
| spl20_148 ),
inference(avatar_split_clause,[],[f141,f1113,f1104]) ).
fof(f141,plain,
( e10 = op1(e10,e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1102,plain,
( ~ spl20_143
| spl20_145 ),
inference(avatar_split_clause,[],[f139,f1099,f1090]) ).
fof(f139,plain,
( e10 = op1(e10,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f890,plain,
( ~ spl20_81
| ~ spl20_82
| ~ spl20_83
| ~ spl20_84
| ~ spl20_85
| ~ spl20_86
| ~ spl20_87
| ~ spl20_88
| ~ spl20_89
| ~ spl20_90
| ~ spl20_91
| ~ spl20_92
| ~ spl20_93
| ~ spl20_94
| ~ spl20_95
| ~ spl20_96
| spl20_26
| spl20_21
| spl20_16
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f123,f887,f523,f547,f571,f883,f879,f875,f871,f867,f863,f859,f855,f851,f847,f843,f839,f835,f831,f827,f823]) ).
fof(f571,plain,
( spl20_26
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f547,plain,
( spl20_21
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f523,plain,
( spl20_16
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f123,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116',co1) ).
fof(f593,plain,
( ~ spl20_26
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f84,f590,f571]) ).
fof(f84,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f564,plain,
( ~ spl20_21
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f81,f561,f547]) ).
fof(f81,plain,
( e21 != h3(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f535,plain,
( ~ spl20_16
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f78,f532,f523]) ).
fof(f78,plain,
( e22 != h3(e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 19:58:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.tdnQ9GV1de/Vampire---4.8_11116
% 0.60/0.76 % (11514)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (11507)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (11510)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (11509)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (11508)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (11512)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (11511)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (11513)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76 % (11514)Refutation not found, incomplete strategy% (11514)------------------------------
% 0.60/0.76 % (11514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (11514)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (11514)Memory used [KB]: 1451
% 0.60/0.76 % (11514)Time elapsed: 0.008 s
% 0.60/0.76 % (11514)Instructions burned: 30 (million)
% 0.60/0.76 % (11514)------------------------------
% 0.60/0.76 % (11514)------------------------------
% 0.61/0.77 % (11519)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.77 % (11511)Refutation not found, incomplete strategy% (11511)------------------------------
% 0.61/0.77 % (11511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (11511)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (11511)Memory used [KB]: 1497
% 0.61/0.77 % (11511)Time elapsed: 0.014 s
% 0.61/0.77 % (11511)Instructions burned: 32 (million)
% 0.61/0.77 % (11511)------------------------------
% 0.61/0.77 % (11511)------------------------------
% 0.61/0.77 % (11510)Instruction limit reached!
% 0.61/0.77 % (11510)------------------------------
% 0.61/0.77 % (11510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (11510)Termination reason: Unknown
% 0.61/0.77 % (11510)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (11510)Memory used [KB]: 1684
% 0.61/0.77 % (11510)Time elapsed: 0.016 s
% 0.61/0.77 % (11510)Instructions burned: 33 (million)
% 0.61/0.77 % (11510)------------------------------
% 0.61/0.77 % (11510)------------------------------
% 0.61/0.77 % (11507)Instruction limit reached!
% 0.61/0.77 % (11507)------------------------------
% 0.61/0.77 % (11507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (11507)Termination reason: Unknown
% 0.61/0.77 % (11507)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (11507)Memory used [KB]: 1956
% 0.61/0.77 % (11507)Time elapsed: 0.017 s
% 0.61/0.77 % (11507)Instructions burned: 35 (million)
% 0.61/0.77 % (11507)------------------------------
% 0.61/0.77 % (11507)------------------------------
% 0.61/0.77 % (11512)Instruction limit reached!
% 0.61/0.77 % (11512)------------------------------
% 0.61/0.77 % (11512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (11512)Termination reason: Unknown
% 0.61/0.77 % (11512)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (11512)Memory used [KB]: 1341
% 0.61/0.77 % (11512)Time elapsed: 0.019 s
% 0.61/0.77 % (11512)Instructions burned: 47 (million)
% 0.61/0.77 % (11512)------------------------------
% 0.61/0.77 % (11512)------------------------------
% 0.61/0.77 % (11523)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.77 % (11525)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.78 % (11526)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.78 % (11519)Instruction limit reached!
% 0.61/0.78 % (11519)------------------------------
% 0.61/0.78 % (11519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (11519)Termination reason: Unknown
% 0.61/0.78 % (11519)Termination phase: Property scanning
% 0.61/0.78
% 0.61/0.78 % (11519)Memory used [KB]: 1429
% 0.61/0.78 % (11519)Time elapsed: 0.012 s
% 0.61/0.78 % (11519)Instructions burned: 57 (million)
% 0.61/0.78 % (11519)------------------------------
% 0.61/0.78 % (11519)------------------------------
% 0.61/0.78 % (11508)Instruction limit reached!
% 0.61/0.78 % (11508)------------------------------
% 0.61/0.78 % (11508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (11508)Termination reason: Unknown
% 0.61/0.78 % (11508)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (11508)Memory used [KB]: 1698
% 0.61/0.78 % (11508)Time elapsed: 0.022 s
% 0.61/0.78 % (11508)Instructions burned: 51 (million)
% 0.61/0.78 % (11508)------------------------------
% 0.61/0.78 % (11508)------------------------------
% 0.61/0.78 % (11528)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.78 % (11530)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.78 % (11531)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.79 % (11509)First to succeed.
% 0.61/0.79 % (11530)Instruction limit reached!
% 0.61/0.79 % (11530)------------------------------
% 0.61/0.79 % (11530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (11530)Termination reason: Unknown
% 0.61/0.79 % (11530)Termination phase: Property scanning
% 0.61/0.79
% 0.61/0.79 % (11530)Memory used [KB]: 1429
% 0.61/0.79 % (11530)Time elapsed: 0.009 s
% 0.61/0.79 % (11530)Instructions burned: 42 (million)
% 0.61/0.79 % (11530)------------------------------
% 0.61/0.79 % (11530)------------------------------
% 0.61/0.79 % (11513)Instruction limit reached!
% 0.61/0.79 % (11513)------------------------------
% 0.61/0.79 % (11513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (11513)Termination reason: Unknown
% 0.61/0.79 % (11513)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (11513)Memory used [KB]: 1770
% 0.61/0.79 % (11513)Time elapsed: 0.033 s
% 0.61/0.79 % (11513)Instructions burned: 84 (million)
% 0.61/0.79 % (11513)------------------------------
% 0.61/0.79 % (11513)------------------------------
% 0.61/0.79 % (11537)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.79 % (11539)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.79 % (11523)Instruction limit reached!
% 0.61/0.79 % (11523)------------------------------
% 0.61/0.79 % (11523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (11523)Termination reason: Unknown
% 0.61/0.79 % (11523)Termination phase: Property scanning
% 0.61/0.79
% 0.61/0.79 % (11523)Memory used [KB]: 2683
% 0.61/0.79 % (11523)Time elapsed: 0.022 s
% 0.61/0.79 % (11523)Instructions burned: 51 (million)
% 0.61/0.79 % (11523)------------------------------
% 0.61/0.79 % (11523)------------------------------
% 0.61/0.80 % (11509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11357"
% 0.61/0.80 % (11509)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (11509)------------------------------
% 0.61/0.80 % (11509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (11509)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (11509)Memory used [KB]: 1871
% 0.61/0.80 % (11509)Time elapsed: 0.041 s
% 0.61/0.80 % (11509)Instructions burned: 85 (million)
% 0.61/0.80 % (11357)Success in time 0.442 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------