TSTP Solution File: ALG056+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG056+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:25 EDT 2022
% Result : Theorem 2.15s 0.66s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 156
% Syntax : Number of formulae : 694 ( 65 unt; 0 def)
% Number of atoms : 2708 (1549 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3144 (1130 ~;1335 |; 564 &)
% ( 115 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 151 ( 149 usr; 150 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5248,plain,
$false,
inference(avatar_sat_refutation,[],[f431,f496,f519,f605,f647,f778,f797,f817,f852,f901,f964,f1024,f1025,f1036,f1045,f1065,f1079,f1081,f1130,f1149,f1150,f1156,f1173,f1209,f1230,f1239,f1241,f1242,f1243,f1244,f1287,f1293,f1304,f1313,f1328,f1329,f1335,f1340,f1349,f1359,f1371,f1372,f1373,f1394,f1396,f1397,f1398,f1400,f1408,f1420,f1423,f1427,f1429,f1437,f1460,f1464,f1478,f1493,f1535,f1561,f1562,f1591,f1694,f1714,f1746,f1749,f1754,f1761,f1763,f1771,f1792,f1831,f1894,f1935,f1942,f1961,f1997,f2075,f2113,f2178,f2297,f2312,f2316,f2319,f2381,f2386,f2472,f2486,f2495,f2549,f2682,f2982,f3029,f3107,f3141,f3151,f3181,f3202,f3327,f3346,f3380,f3394,f3402,f3443,f3588,f3614,f3641,f3657,f3801,f4032,f4070,f4205,f4299,f4306,f4363,f4429,f4452,f4486,f4535,f4555,f4559,f4586,f4603,f4622,f4656,f4670,f4694,f4746,f4798,f4838,f4851,f4933,f4994,f5015,f5024,f5026,f5031,f5056,f5126,f5208,f5231]) ).
fof(f5231,plain,
( ~ spl34_118
| ~ spl34_138
| ~ spl34_203
| spl34_204 ),
inference(avatar_contradiction_clause,[],[f5230]) ).
fof(f5230,plain,
( $false
| ~ spl34_118
| ~ spl34_138
| ~ spl34_203
| spl34_204 ),
inference(subsumption_resolution,[],[f5229,f1392]) ).
fof(f1392,plain,
( e4 != unit
| spl34_204 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1391,plain,
( spl34_204
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_204])]) ).
fof(f5229,plain,
( e4 = unit
| ~ spl34_118
| ~ spl34_138
| ~ spl34_203 ),
inference(forward_demodulation,[],[f5228,f1023]) ).
fof(f1023,plain,
( op(e0,e0) = e4
| ~ spl34_138 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl34_138
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_138])]) ).
fof(f5228,plain,
( op(e0,e0) = unit
| ~ spl34_118
| ~ spl34_203 ),
inference(forward_demodulation,[],[f5227,f401]) ).
fof(f401,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e0,unit)
& e3 = op(e3,unit)
& e4 = op(e4,unit)
& e3 = op(unit,e3)
& e4 = op(unit,e4)
& e1 = op(e1,unit)
& e2 = op(unit,e2)
& e2 = op(e2,unit)
& e0 = op(unit,e0)
& e1 = op(unit,e1)
& ( e4 = unit
| e0 = unit
| e3 = unit
| e1 = unit
| e2 = unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f5227,plain,
( unit = op(e0,op(unit,e0))
| ~ spl34_118
| ~ spl34_203 ),
inference(forward_demodulation,[],[f932,f1389]) ).
fof(f1389,plain,
( e1 = unit
| ~ spl34_203 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1387,plain,
( spl34_203
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_203])]) ).
fof(f932,plain,
( e1 = op(e0,op(e1,e0))
| ~ spl34_118 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl34_118
<=> e1 = op(e0,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_118])]) ).
fof(f5208,plain,
( ~ spl34_6
| ~ spl34_138
| ~ spl34_175
| spl34_196
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f5207]) ).
fof(f5207,plain,
( $false
| ~ spl34_6
| ~ spl34_138
| ~ spl34_175
| spl34_196
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f5206,f4477]) ).
fof(f4477,plain,
( e0 != e2
| spl34_196
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4476,f409]) ).
fof(f409,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4476,plain,
( e2 != op(e0,unit)
| spl34_196
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1343,f1389]) ).
fof(f1343,plain,
( e2 != op(e0,e1)
| spl34_196 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1342,plain,
( spl34_196
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_196])]) ).
fof(f5206,plain,
( e0 = e2
| ~ spl34_6
| ~ spl34_138
| ~ spl34_175 ),
inference(forward_demodulation,[],[f5205,f1208]) ).
fof(f1208,plain,
( e2 = op(e0,e4)
| ~ spl34_175 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl34_175
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_175])]) ).
fof(f5205,plain,
( e0 = op(e0,e4)
| ~ spl34_6
| ~ spl34_138 ),
inference(forward_demodulation,[],[f438,f1023]) ).
fof(f438,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl34_6 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl34_6
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f5126,plain,
( ~ spl34_177
| ~ spl34_193
| spl34_195 ),
inference(avatar_contradiction_clause,[],[f5125]) ).
fof(f5125,plain,
( $false
| ~ spl34_177
| ~ spl34_193
| spl34_195 ),
inference(subsumption_resolution,[],[f5124,f1323]) ).
fof(f1323,plain,
( e0 = op(e3,e2)
| ~ spl34_193 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f1321,plain,
( spl34_193
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_193])]) ).
fof(f5124,plain,
( e0 != op(e3,e2)
| ~ spl34_177
| spl34_195 ),
inference(forward_demodulation,[],[f1339,f1218]) ).
fof(f1218,plain,
( e2 = op(e3,e0)
| ~ spl34_177 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl34_177
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_177])]) ).
fof(f1339,plain,
( e0 != op(e3,op(e3,e0))
| spl34_195 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl34_195
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_195])]) ).
fof(f5056,plain,
( ~ spl34_52
| ~ spl34_101
| spl34_200
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f5055]) ).
fof(f5055,plain,
( $false
| ~ spl34_52
| ~ spl34_101
| spl34_200
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f5054,f1376]) ).
fof(f1376,plain,
( e0 != unit
| spl34_200 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1375,plain,
( spl34_200
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_200])]) ).
fof(f5054,plain,
( e0 = unit
| ~ spl34_52
| ~ spl34_101
| ~ spl34_203 ),
inference(forward_demodulation,[],[f638,f4082]) ).
fof(f4082,plain,
( op(e2,e3) = unit
| ~ spl34_101
| ~ spl34_203 ),
inference(backward_demodulation,[],[f856,f1389]) ).
fof(f856,plain,
( e1 = op(e2,e3)
| ~ spl34_101 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl34_101
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_101])]) ).
fof(f638,plain,
( e0 = op(e2,e3)
| ~ spl34_52 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl34_52
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_52])]) ).
fof(f5031,plain,
( ~ spl34_172
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f1901,f475,f1191]) ).
fof(f1191,plain,
( spl34_172
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_172])]) ).
fof(f475,plain,
( spl34_15
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f1901,plain,
( e4 != op(e2,e0)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f97,f477]) ).
fof(f477,plain,
( e4 = op(e2,e2)
| ~ spl34_15 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f97,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e1,e1) != op(e1,e4)
& op(e0,e2) != op(e4,e2)
& op(e4,e3) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e0,e4) != op(e4,e4)
& op(e0,e0) != op(e4,e0)
& op(e1,e4) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e1,e3) != op(e2,e3)
& op(e3,e3) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e3,e1) != op(e4,e1)
& op(e4,e2) != op(e4,e3)
& op(e1,e3) != op(e1,e4)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e0,e4) != op(e2,e4)
& op(e1,e0) != op(e4,e0)
& op(e1,e2) != op(e4,e2)
& op(e1,e0) != op(e1,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e0) != op(e3,e0)
& op(e0,e3) != op(e4,e3)
& op(e1,e2) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e4) != op(e4,e4)
& op(e2,e1) != op(e2,e4)
& op(e3,e1) != op(e3,e4)
& op(e2,e4) != op(e3,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e2) != op(e1,e2)
& op(e1,e1) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e2,e3) != op(e3,e3)
& op(e3,e2) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e0,e0) != op(e2,e0)
& op(e1,e4) != op(e2,e4)
& op(e4,e1) != op(e4,e3)
& op(e1,e1) != op(e4,e1)
& op(e3,e2) != op(e4,e2)
& op(e0,e0) != op(e0,e1)
& op(e0,e1) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e0,e4)
& op(e2,e0) != op(e2,e4)
& op(e4,e1) != op(e4,e4)
& op(e1,e0) != op(e1,e3)
& op(e4,e0) != op(e4,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e3,e1)
& op(e3,e1) != op(e3,e3)
& op(e0,e1) != op(e2,e1)
& op(e2,e0) != op(e4,e0)
& op(e0,e2) != op(e0,e4)
& op(e1,e0) != op(e3,e0)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e1,e1) != op(e1,e3)
& op(e0,e3) != op(e1,e3)
& op(e1,e0) != op(e2,e0)
& op(e2,e0) != op(e2,e3)
& op(e2,e4) != op(e4,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e0,e2) != op(e3,e2)
& op(e2,e3) != op(e2,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e2)
& op(e0,e2) != op(e0,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e0) != op(e2,e2)
& op(e2,e2) != op(e4,e2)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e0,e3) != op(e2,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e1) != op(e0,e4)
& op(e3,e0) != op(e3,e2)
& op(e2,e0) != op(e3,e0)
& op(e0,e2) != op(e2,e2)
& op(e2,e1) != op(e4,e1)
& op(e1,e2) != op(e3,e2)
& op(e2,e3) != op(e4,e3)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e1,e0)
& op(e0,e3) != op(e3,e3)
& op(e0,e4) != op(e1,e4)
& op(e3,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5026,plain,
( spl34_171
| ~ spl34_189
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f4958,f1402,f1290,f1184]) ).
fof(f1184,plain,
( spl34_171
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_171])]) ).
fof(f1290,plain,
( spl34_189
<=> e4 = op(e0,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_189])]) ).
fof(f1402,plain,
( spl34_205
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_205])]) ).
fof(f4958,plain,
( e4 = op(e0,e3)
| ~ spl34_189
| ~ spl34_205 ),
inference(forward_demodulation,[],[f1292,f1404]) ).
fof(f1404,plain,
( e3 = op(e4,e0)
| ~ spl34_205 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1292,plain,
( e4 = op(e0,op(e4,e0))
| ~ spl34_189 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f5024,plain,
( ~ spl34_171
| ~ spl34_18 ),
inference(avatar_split_clause,[],[f5000,f489,f1184]) ).
fof(f489,plain,
( spl34_18
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).
fof(f5000,plain,
( e4 != op(e0,e3)
| ~ spl34_18 ),
inference(forward_demodulation,[],[f82,f491]) ).
fof(f491,plain,
( e4 = op(e3,e3)
| ~ spl34_18 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f82,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f5015,plain,
( ~ spl34_160
| ~ spl34_47 ),
inference(avatar_split_clause,[],[f4002,f615,f1126]) ).
fof(f1126,plain,
( spl34_160
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_160])]) ).
fof(f615,plain,
( spl34_47
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_47])]) ).
fof(f4002,plain,
( e3 != op(e2,e0)
| ~ spl34_47 ),
inference(forward_demodulation,[],[f126,f617]) ).
fof(f617,plain,
( e3 = op(e2,e4)
| ~ spl34_47 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f126,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4994,plain,
( ~ spl34_47
| spl34_49
| ~ spl34_54
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4993]) ).
fof(f4993,plain,
( $false
| ~ spl34_47
| spl34_49
| ~ spl34_54
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4992,f3607]) ).
fof(f3607,plain,
( e0 != e3
| ~ spl34_47
| spl34_49 ),
inference(forward_demodulation,[],[f624,f617]) ).
fof(f624,plain,
( e0 != op(e2,e4)
| spl34_49 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl34_49
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).
fof(f4992,plain,
( e0 = e3
| ~ spl34_54
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4991,f406]) ).
fof(f406,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f4991,plain,
( e0 = op(unit,e3)
| ~ spl34_54
| ~ spl34_203 ),
inference(forward_demodulation,[],[f646,f1389]) ).
fof(f646,plain,
( e0 = op(e1,e3)
| ~ spl34_54 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl34_54
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_54])]) ).
fof(f4933,plain,
( ~ spl34_15
| ~ spl34_84 ),
inference(avatar_contradiction_clause,[],[f4932]) ).
fof(f4932,plain,
( $false
| ~ spl34_15
| ~ spl34_84 ),
inference(subsumption_resolution,[],[f4931,f320]) ).
fof(f320,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e1 != e3
& e1 != e2
& e1 != e4
& e0 != e4
& e3 != e4
& e0 != e1
& e0 != e3
& e2 != e3
& e2 != e4
& e0 != e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4931,plain,
( e0 = e4
| ~ spl34_15
| ~ spl34_84 ),
inference(forward_demodulation,[],[f777,f477]) ).
fof(f777,plain,
( e0 = op(e2,e2)
| ~ spl34_84 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl34_84
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_84])]) ).
fof(f4851,plain,
( ~ spl34_178
| ~ spl34_138 ),
inference(avatar_split_clause,[],[f4850,f1021,f1220]) ).
fof(f1220,plain,
( spl34_178
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_178])]) ).
fof(f4850,plain,
( e4 != op(e3,e0)
| ~ spl34_138 ),
inference(forward_demodulation,[],[f154,f1023]) ).
fof(f154,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f4838,plain,
( ~ spl34_197
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f4624,f1387,f1354]) ).
fof(f1354,plain,
( spl34_197
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_197])]) ).
fof(f4624,plain,
( e4 != op(e4,e0)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4623,f407]) ).
fof(f407,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4623,plain,
( op(e4,e0) != op(e4,unit)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f170,f1389]) ).
fof(f170,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4798,plain,
( ~ spl34_35
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f4755,f1387,f564]) ).
fof(f564,plain,
( spl34_35
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_35])]) ).
fof(f4755,plain,
( e0 != op(e0,e0)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4754,f409]) ).
fof(f4754,plain,
( op(e0,e0) != op(e0,unit)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f131,f1389]) ).
fof(f131,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4746,plain,
( ~ spl34_106
| ~ spl34_203
| spl34_204 ),
inference(avatar_contradiction_clause,[],[f4745]) ).
fof(f4745,plain,
( $false
| ~ spl34_106
| ~ spl34_203
| spl34_204 ),
inference(subsumption_resolution,[],[f4744,f1392]) ).
fof(f4744,plain,
( e4 = unit
| ~ spl34_106
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4743,f4075]) ).
fof(f4075,plain,
( unit = op(unit,unit)
| ~ spl34_203 ),
inference(backward_demodulation,[],[f400,f1389]) ).
fof(f400,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f4743,plain,
( e4 = op(unit,unit)
| ~ spl34_106
| ~ spl34_203 ),
inference(forward_demodulation,[],[f877,f1389]) ).
fof(f877,plain,
( e4 = op(e1,e1)
| ~ spl34_106 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl34_106
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_106])]) ).
fof(f4694,plain,
( ~ spl34_122
| spl34_196
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4693]) ).
fof(f4693,plain,
( $false
| ~ spl34_122
| spl34_196
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4099,f4477]) ).
fof(f4099,plain,
( e0 = e2
| ~ spl34_122
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4085,f403]) ).
fof(f403,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f4085,plain,
( e0 = op(unit,e2)
| ~ spl34_122
| ~ spl34_203 ),
inference(backward_demodulation,[],[f951,f1389]) ).
fof(f951,plain,
( e0 = op(e1,e2)
| ~ spl34_122 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f949,plain,
( spl34_122
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_122])]) ).
fof(f4670,plain,
( spl34_141
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4669]) ).
fof(f4669,plain,
( $false
| spl34_141
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4668,f409]) ).
fof(f4668,plain,
( e0 != op(e0,unit)
| spl34_141
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1039,f1389]) ).
fof(f1039,plain,
( e0 != op(e0,e1)
| spl34_141 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1038,plain,
( spl34_141
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_141])]) ).
fof(f4656,plain,
( spl34_29
| ~ spl34_177
| ~ spl34_178
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4655]) ).
fof(f4655,plain,
( $false
| spl34_29
| ~ spl34_177
| ~ spl34_178
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4654,f4098]) ).
fof(f4098,plain,
( e2 != e4
| spl34_29
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4079,f402]) ).
fof(f402,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4079,plain,
( e4 != op(e2,unit)
| spl34_29
| ~ spl34_203 ),
inference(backward_demodulation,[],[f538,f1389]) ).
fof(f538,plain,
( e4 != op(e2,e1)
| spl34_29 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl34_29
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).
fof(f4654,plain,
( e2 = e4
| ~ spl34_177
| ~ spl34_178 ),
inference(forward_demodulation,[],[f1218,f1222]) ).
fof(f1222,plain,
( e4 = op(e3,e0)
| ~ spl34_178 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f4622,plain,
( ~ spl34_67
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f4621,f1387,f700]) ).
fof(f700,plain,
( spl34_67
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_67])]) ).
fof(f4621,plain,
( e0 != op(e0,e2)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4620,f409]) ).
fof(f4620,plain,
( op(e0,e2) != op(e0,unit)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f122,f1389]) ).
fof(f122,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4603,plain,
( ~ spl34_47
| spl34_49
| ~ spl34_183
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4602]) ).
fof(f4602,plain,
( $false
| ~ spl34_47
| spl34_49
| ~ spl34_183
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4601,f3607]) ).
fof(f4601,plain,
( e0 = e3
| ~ spl34_183
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4600,f401]) ).
fof(f4600,plain,
( e3 = op(unit,e0)
| ~ spl34_183
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1260,f1389]) ).
fof(f1260,plain,
( e3 = op(e1,e0)
| ~ spl34_183 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1258,plain,
( spl34_183
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_183])]) ).
fof(f4586,plain,
( spl34_104
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4585]) ).
fof(f4585,plain,
( $false
| spl34_104
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4584,f4075]) ).
fof(f4584,plain,
( unit != op(unit,unit)
| spl34_104
| ~ spl34_203 ),
inference(forward_demodulation,[],[f868,f1389]) ).
fof(f868,plain,
( e1 != op(e1,e1)
| spl34_104 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl34_104
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_104])]) ).
fof(f4559,plain,
( spl34_69
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4558]) ).
fof(f4558,plain,
( $false
| spl34_69
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4557,f406]) ).
fof(f4557,plain,
( e3 != op(unit,e3)
| spl34_69
| ~ spl34_203 ),
inference(forward_demodulation,[],[f710,f1389]) ).
fof(f710,plain,
( e3 != op(e1,e3)
| spl34_69 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl34_69
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_69])]) ).
fof(f4555,plain,
( ~ spl34_193
| ~ spl34_51 ),
inference(avatar_split_clause,[],[f3884,f632,f1321]) ).
fof(f632,plain,
( spl34_51
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_51])]) ).
fof(f3884,plain,
( e0 != op(e3,e2)
| ~ spl34_51 ),
inference(forward_demodulation,[],[f138,f634]) ).
fof(f634,plain,
( e0 = op(e3,e3)
| ~ spl34_51 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f138,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4535,plain,
( spl34_111
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4534]) ).
fof(f4534,plain,
( $false
| spl34_111
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4533,f407]) ).
fof(f4533,plain,
( e4 != op(e4,unit)
| spl34_111
| ~ spl34_203 ),
inference(forward_demodulation,[],[f897,f1389]) ).
fof(f897,plain,
( e4 != op(e4,e1)
| spl34_111 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl34_111
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_111])]) ).
fof(f4486,plain,
( ~ spl34_148
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4485]) ).
fof(f4485,plain,
( $false
| ~ spl34_148
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4369,f1073]) ).
fof(f1073,plain,
( e3 = op(e0,e3)
| ~ spl34_148 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1071,plain,
( spl34_148
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_148])]) ).
fof(f4369,plain,
( e3 != op(e0,e3)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4368,f406]) ).
fof(f4368,plain,
( op(e0,e3) != op(unit,e3)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f110,f1389]) ).
fof(f110,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4452,plain,
( ~ spl34_53
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f4451,f1387,f640]) ).
fof(f640,plain,
( spl34_53
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_53])]) ).
fof(f4451,plain,
( e0 != op(e0,e3)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4450,f409]) ).
fof(f4450,plain,
( op(e0,e3) != op(e0,unit)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f130,f1389]) ).
fof(f130,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4429,plain,
( ~ spl34_196
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4428]) ).
fof(f4428,plain,
( $false
| ~ spl34_196
| ~ spl34_203 ),
inference(trivial_inequality_removal,[],[f4427]) ).
fof(f4427,plain,
( op(e0,e3) != op(e0,e3)
| ~ spl34_196
| ~ spl34_203 ),
inference(forward_demodulation,[],[f93,f4227]) ).
fof(f4227,plain,
( e0 = e2
| ~ spl34_196
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4226,f409]) ).
fof(f4226,plain,
( e2 = op(e0,unit)
| ~ spl34_196
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1344,f1389]) ).
fof(f1344,plain,
( e2 = op(e0,e1)
| ~ spl34_196 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f93,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4363,plain,
( spl34_162
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4362]) ).
fof(f4362,plain,
( $false
| spl34_162
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f405,f4310]) ).
fof(f4310,plain,
( e4 != op(unit,e4)
| spl34_162
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1138,f1389]) ).
fof(f1138,plain,
( e4 != op(e1,e4)
| spl34_162 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1137,plain,
( spl34_162
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_162])]) ).
fof(f405,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f4306,plain,
( ~ spl34_186
| ~ spl34_187
| ~ spl34_203
| spl34_204 ),
inference(avatar_contradiction_clause,[],[f4305]) ).
fof(f4305,plain,
( $false
| ~ spl34_186
| ~ spl34_187
| ~ spl34_203
| spl34_204 ),
inference(subsumption_resolution,[],[f4304,f1392]) ).
fof(f4304,plain,
( e4 = unit
| ~ spl34_186
| ~ spl34_187
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1273,f4132]) ).
fof(f4132,plain,
( op(e3,e4) = unit
| ~ spl34_187
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1277,f1389]) ).
fof(f1277,plain,
( e1 = op(e3,e4)
| ~ spl34_187 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1275,plain,
( spl34_187
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_187])]) ).
fof(f1273,plain,
( e4 = op(e3,e4)
| ~ spl34_186 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl34_186
<=> e4 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_186])]) ).
fof(f4299,plain,
( ~ spl34_184
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4298]) ).
fof(f4298,plain,
( $false
| ~ spl34_184
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4297,f320]) ).
fof(f4297,plain,
( e0 = e4
| ~ spl34_184
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4296,f401]) ).
fof(f4296,plain,
( e4 = op(unit,e0)
| ~ spl34_184
| ~ spl34_203 ),
inference(forward_demodulation,[],[f1264,f1389]) ).
fof(f1264,plain,
( e4 = op(e1,e0)
| ~ spl34_184 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f1262,plain,
( spl34_184
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_184])]) ).
fof(f4205,plain,
( ~ spl34_116
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f4204]) ).
fof(f4204,plain,
( $false
| ~ spl34_116
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f4203,f403]) ).
fof(f4203,plain,
( e2 != op(unit,e2)
| ~ spl34_116
| ~ spl34_203 ),
inference(forward_demodulation,[],[f4202,f1389]) ).
fof(f4202,plain,
( e2 != op(e1,e2)
| ~ spl34_116 ),
inference(forward_demodulation,[],[f86,f922]) ).
fof(f922,plain,
( e2 = op(e3,e2)
| ~ spl34_116 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl34_116
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_116])]) ).
fof(f86,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4070,plain,
( ~ spl34_133
| ~ spl34_24 ),
inference(avatar_split_clause,[],[f4069,f516,f999]) ).
fof(f999,plain,
( spl34_133
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_133])]) ).
fof(f516,plain,
( spl34_24
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_24])]) ).
fof(f4069,plain,
( e3 != op(e0,e2)
| ~ spl34_24 ),
inference(forward_demodulation,[],[f92,f518]) ).
fof(f518,plain,
( op(e0,e0) = e3
| ~ spl34_24 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f92,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4032,plain,
( ~ spl34_66
| ~ spl34_95 ),
inference(avatar_split_clause,[],[f3840,f827,f695]) ).
fof(f695,plain,
( spl34_66
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_66])]) ).
fof(f827,plain,
( spl34_95
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_95])]) ).
fof(f3840,plain,
( e3 != op(e3,e0)
| ~ spl34_95 ),
inference(forward_demodulation,[],[f175,f829]) ).
fof(f829,plain,
( e3 = op(e3,e1)
| ~ spl34_95 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3801,plain,
( ~ spl34_47
| ~ spl34_204 ),
inference(avatar_contradiction_clause,[],[f3800]) ).
fof(f3800,plain,
( $false
| ~ spl34_47
| ~ spl34_204 ),
inference(subsumption_resolution,[],[f3799,f316]) ).
fof(f316,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3799,plain,
( e2 = e3
| ~ spl34_47
| ~ spl34_204 ),
inference(forward_demodulation,[],[f402,f3668]) ).
fof(f3668,plain,
( e3 = op(e2,unit)
| ~ spl34_47
| ~ spl34_204 ),
inference(backward_demodulation,[],[f617,f1393]) ).
fof(f1393,plain,
( e4 = unit
| ~ spl34_204 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f3657,plain,
( ~ spl34_167
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f3143,f475,f1163]) ).
fof(f1163,plain,
( spl34_167
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_167])]) ).
fof(f3143,plain,
( e4 != op(e3,e2)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f128,f477]) ).
fof(f128,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3641,plain,
( spl34_95
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f3640]) ).
fof(f3640,plain,
( $false
| spl34_95
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f3639,f408]) ).
fof(f408,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3639,plain,
( e3 != op(e3,unit)
| spl34_95
| ~ spl34_203 ),
inference(forward_demodulation,[],[f828,f1389]) ).
fof(f828,plain,
( e3 != op(e3,e1)
| spl34_95 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f3614,plain,
( ~ spl34_107
| spl34_201
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f3613]) ).
fof(f3613,plain,
( $false
| ~ spl34_107
| spl34_201
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f3612,f1380]) ).
fof(f1380,plain,
( e3 != unit
| spl34_201 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl34_201
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_201])]) ).
fof(f3612,plain,
( e3 = unit
| ~ spl34_107
| ~ spl34_203 ),
inference(forward_demodulation,[],[f3611,f3465]) ).
fof(f3465,plain,
( unit = op(unit,unit)
| ~ spl34_203 ),
inference(backward_demodulation,[],[f404,f1389]) ).
fof(f404,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3611,plain,
( e3 = op(unit,unit)
| ~ spl34_107
| ~ spl34_203 ),
inference(forward_demodulation,[],[f881,f1389]) ).
fof(f881,plain,
( e3 = op(e1,e1)
| ~ spl34_107 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl34_107
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_107])]) ).
fof(f3588,plain,
( ~ spl34_97
| ~ spl34_203 ),
inference(avatar_contradiction_clause,[],[f3587]) ).
fof(f3587,plain,
( $false
| ~ spl34_97
| ~ spl34_203 ),
inference(subsumption_resolution,[],[f3586,f316]) ).
fof(f3586,plain,
( e2 = e3
| ~ spl34_97
| ~ spl34_203 ),
inference(forward_demodulation,[],[f3585,f408]) ).
fof(f3585,plain,
( e2 = op(e3,unit)
| ~ spl34_97
| ~ spl34_203 ),
inference(forward_demodulation,[],[f837,f1389]) ).
fof(f837,plain,
( e2 = op(e3,e1)
| ~ spl34_97 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl34_97
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_97])]) ).
fof(f3443,plain,
( ~ spl34_174
| ~ spl34_187 ),
inference(avatar_split_clause,[],[f2870,f1275,f1202]) ).
fof(f1202,plain,
( spl34_174
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_174])]) ).
fof(f2870,plain,
( e1 != op(e0,e4)
| ~ spl34_187 ),
inference(forward_demodulation,[],[f155,f1277]) ).
fof(f155,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3402,plain,
( ~ spl34_175
| ~ spl34_90 ),
inference(avatar_split_clause,[],[f3398,f805,f1206]) ).
fof(f805,plain,
( spl34_90
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_90])]) ).
fof(f3398,plain,
( e2 != op(e0,e4)
| ~ spl34_90 ),
inference(backward_demodulation,[],[f127,f807]) ).
fof(f807,plain,
( e2 = op(e0,e3)
| ~ spl34_90 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f127,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3394,plain,
( ~ spl34_142
| ~ spl34_121 ),
inference(avatar_split_clause,[],[f3393,f944,f1042]) ).
fof(f1042,plain,
( spl34_142
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_142])]) ).
fof(f944,plain,
( spl34_121
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_121])]) ).
fof(f3393,plain,
( e0 != op(e0,e4)
| ~ spl34_121 ),
inference(forward_demodulation,[],[f173,f946]) ).
fof(f946,plain,
( e0 = op(e4,e4)
| ~ spl34_121 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f173,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3380,plain,
( ~ spl34_190
| ~ spl34_145 ),
inference(avatar_split_clause,[],[f3379,f1057,f1296]) ).
fof(f1296,plain,
( spl34_190
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_190])]) ).
fof(f1057,plain,
( spl34_145
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_145])]) ).
fof(f3379,plain,
( e1 != op(e0,e3)
| ~ spl34_145 ),
inference(forward_demodulation,[],[f99,f1059]) ).
fof(f1059,plain,
( e1 = op(e0,e2)
| ~ spl34_145 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f99,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3346,plain,
( ~ spl34_29
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f2257,f475,f537]) ).
fof(f2257,plain,
( e4 != op(e2,e1)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f163,f477]) ).
fof(f163,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3327,plain,
( spl34_46
| ~ spl34_202 ),
inference(avatar_contradiction_clause,[],[f3326]) ).
fof(f3326,plain,
( $false
| spl34_46
| ~ spl34_202 ),
inference(subsumption_resolution,[],[f3325,f405]) ).
fof(f3325,plain,
( e4 != op(unit,e4)
| spl34_46
| ~ spl34_202 ),
inference(forward_demodulation,[],[f612,f1385]) ).
fof(f1385,plain,
( e2 = unit
| ~ spl34_202 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl34_202
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_202])]) ).
fof(f612,plain,
( e4 != op(e2,e4)
| spl34_46 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl34_46
<=> e4 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).
fof(f3202,plain,
( ~ spl34_46
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f3201,f475,f611]) ).
fof(f3201,plain,
( e4 != op(e2,e4)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f98,f477]) ).
fof(f98,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3181,plain,
( spl34_47
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f1974,f475,f615]) ).
fof(f1974,plain,
( e3 = op(e2,e4)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f411,f477]) ).
fof(f411,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3151,plain,
( ~ spl34_124
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f1939,f475,f957]) ).
fof(f957,plain,
( spl34_124
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_124])]) ).
fof(f1939,plain,
( e4 != op(e1,e2)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f140,f477]) ).
fof(f140,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3141,plain,
( ~ spl34_115
| ~ spl34_114 ),
inference(avatar_split_clause,[],[f3139,f912,f916]) ).
fof(f916,plain,
( spl34_115
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_115])]) ).
fof(f912,plain,
( spl34_114
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_114])]) ).
fof(f3139,plain,
( e2 != op(e1,e2)
| ~ spl34_114 ),
inference(backward_demodulation,[],[f145,f914]) ).
fof(f914,plain,
( e2 = op(e0,e2)
| ~ spl34_114 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f145,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3107,plain,
( ~ spl34_123
| ~ spl34_104 ),
inference(avatar_split_clause,[],[f3106,f867,f953]) ).
fof(f953,plain,
( spl34_123
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_123])]) ).
fof(f3106,plain,
( e1 != op(e1,e2)
| ~ spl34_104 ),
inference(forward_demodulation,[],[f144,f869]) ).
fof(f869,plain,
( e1 = op(e1,e1)
| ~ spl34_104 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f144,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3029,plain,
( ~ spl34_60
| ~ spl34_121 ),
inference(avatar_contradiction_clause,[],[f3028]) ).
fof(f3028,plain,
( $false
| ~ spl34_60
| ~ spl34_121 ),
inference(trivial_inequality_removal,[],[f3027]) ).
fof(f3027,plain,
( op(e3,e0) != op(e3,e0)
| ~ spl34_60
| ~ spl34_121 ),
inference(forward_demodulation,[],[f90,f2708]) ).
fof(f2708,plain,
( e0 = e2
| ~ spl34_60
| ~ spl34_121 ),
inference(forward_demodulation,[],[f672,f946]) ).
fof(f672,plain,
( e2 = op(e4,e4)
| ~ spl34_60 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl34_60
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_60])]) ).
fof(f90,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2982,plain,
( ~ spl34_187
| ~ spl34_201 ),
inference(avatar_contradiction_clause,[],[f2981]) ).
fof(f2981,plain,
( $false
| ~ spl34_187
| ~ spl34_201 ),
inference(subsumption_resolution,[],[f2980,f321]) ).
fof(f321,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2980,plain,
( e1 = e4
| ~ spl34_187
| ~ spl34_201 ),
inference(forward_demodulation,[],[f2964,f405]) ).
fof(f2964,plain,
( e1 = op(unit,e4)
| ~ spl34_187
| ~ spl34_201 ),
inference(backward_demodulation,[],[f1277,f1381]) ).
fof(f1381,plain,
( e3 = unit
| ~ spl34_201 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2682,plain,
( ~ spl34_47
| ~ spl34_49 ),
inference(avatar_contradiction_clause,[],[f2681]) ).
fof(f2681,plain,
( $false
| ~ spl34_47
| ~ spl34_49 ),
inference(trivial_inequality_removal,[],[f2680]) ).
fof(f2680,plain,
( op(e0,e0) != op(e0,e0)
| ~ spl34_47
| ~ spl34_49 ),
inference(forward_demodulation,[],[f105,f2211]) ).
fof(f2211,plain,
( e0 = e3
| ~ spl34_47
| ~ spl34_49 ),
inference(forward_demodulation,[],[f625,f617]) ).
fof(f625,plain,
( e0 = op(e2,e4)
| ~ spl34_49 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f105,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2549,plain,
( ~ spl34_194
| ~ spl34_121 ),
inference(avatar_split_clause,[],[f2547,f944,f1332]) ).
fof(f1332,plain,
( spl34_194
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_194])]) ).
fof(f2547,plain,
( e0 != op(e4,e2)
| ~ spl34_121 ),
inference(backward_demodulation,[],[f167,f946]) ).
fof(f167,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2495,plain,
( ~ spl34_162
| ~ spl34_170 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| ~ spl34_162
| ~ spl34_170 ),
inference(subsumption_resolution,[],[f2493,f1182]) ).
fof(f1182,plain,
( e4 = op(e0,e4)
| ~ spl34_170 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1180,plain,
( spl34_170
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_170])]) ).
fof(f2493,plain,
( e4 != op(e0,e4)
| ~ spl34_162 ),
inference(forward_demodulation,[],[f81,f1139]) ).
fof(f1139,plain,
( e4 = op(e1,e4)
| ~ spl34_162 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f81,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2486,plain,
( spl34_121
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f2485,f475,f944]) ).
fof(f2485,plain,
( e0 = op(e4,e4)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f413,f477]) ).
fof(f413,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2472,plain,
( ~ spl34_166
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f2069,f475,f1159]) ).
fof(f1159,plain,
( spl34_166
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_166])]) ).
fof(f2069,plain,
( e4 != op(e0,e2)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f88,f477]) ).
fof(f88,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2386,plain,
( ~ spl34_99
| ~ spl34_47 ),
inference(avatar_split_clause,[],[f2306,f615,f844]) ).
fof(f844,plain,
( spl34_99
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_99])]) ).
fof(f2306,plain,
( e3 != op(e0,e4)
| ~ spl34_47 ),
inference(forward_demodulation,[],[f159,f617]) ).
fof(f159,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2381,plain,
( ~ spl34_180
| ~ spl34_187 ),
inference(avatar_contradiction_clause,[],[f2380]) ).
fof(f2380,plain,
( $false
| ~ spl34_180
| ~ spl34_187 ),
inference(subsumption_resolution,[],[f2379,f322]) ).
fof(f322,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2379,plain,
( e1 = e2
| ~ spl34_180
| ~ spl34_187 ),
inference(forward_demodulation,[],[f1277,f1238]) ).
fof(f1238,plain,
( e2 = op(e3,e4)
| ~ spl34_180 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl34_180
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_180])]) ).
fof(f2319,plain,
( ~ spl34_15
| ~ spl34_134 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2318,plain,
( $false
| ~ spl34_15
| ~ spl34_134 ),
inference(subsumption_resolution,[],[f2317,f319]) ).
fof(f319,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2317,plain,
( e3 = e4
| ~ spl34_15
| ~ spl34_134 ),
inference(forward_demodulation,[],[f1005,f477]) ).
fof(f1005,plain,
( e3 = op(e2,e2)
| ~ spl34_134 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl34_134
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_134])]) ).
fof(f2316,plain,
( ~ spl34_18
| ~ spl34_80 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
fof(f2315,plain,
( $false
| ~ spl34_18
| ~ spl34_80 ),
inference(subsumption_resolution,[],[f2314,f315]) ).
fof(f315,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2314,plain,
( e2 = e4
| ~ spl34_18
| ~ spl34_80 ),
inference(forward_demodulation,[],[f759,f491]) ).
fof(f759,plain,
( e2 = op(e3,e3)
| ~ spl34_80 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl34_80
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_80])]) ).
fof(f2312,plain,
( spl34_12
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2311,plain,
( $false
| spl34_12
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f2310,f404]) ).
fof(f2310,plain,
( e1 != op(e1,unit)
| spl34_12
| ~ spl34_200 ),
inference(forward_demodulation,[],[f463,f1377]) ).
fof(f1377,plain,
( e0 = unit
| ~ spl34_200 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f463,plain,
( e1 != op(e1,e0)
| spl34_12 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl34_12
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f2297,plain,
( ~ spl34_45
| ~ spl34_47 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| ~ spl34_45
| ~ spl34_47 ),
inference(subsumption_resolution,[],[f2295,f323]) ).
fof(f323,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2295,plain,
( e1 = e3
| ~ spl34_45
| ~ spl34_47 ),
inference(forward_demodulation,[],[f609,f617]) ).
fof(f609,plain,
( e1 = op(e2,e4)
| ~ spl34_45 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f607,plain,
( spl34_45
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_45])]) ).
fof(f2178,plain,
( spl34_187
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f2094,f475,f1275]) ).
fof(f2094,plain,
( e1 = op(e3,e4)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f1450,f477]) ).
fof(f1450,plain,
e1 = op(e3,op(e2,e2)),
inference(backward_demodulation,[],[f412,f411]) ).
fof(f412,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2113,plain,
( ~ spl34_53
| ~ spl34_200
| spl34_201 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| ~ spl34_53
| ~ spl34_200
| spl34_201 ),
inference(subsumption_resolution,[],[f2111,f1380]) ).
fof(f2111,plain,
( e3 = unit
| ~ spl34_53
| ~ spl34_200 ),
inference(forward_demodulation,[],[f2110,f406]) ).
fof(f2110,plain,
( unit = op(unit,e3)
| ~ spl34_53
| ~ spl34_200 ),
inference(forward_demodulation,[],[f642,f1377]) ).
fof(f642,plain,
( e0 = op(e0,e3)
| ~ spl34_53 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f2075,plain,
( ~ spl34_138
| ~ spl34_200
| spl34_204 ),
inference(avatar_contradiction_clause,[],[f2074]) ).
fof(f2074,plain,
( $false
| ~ spl34_138
| ~ spl34_200
| spl34_204 ),
inference(subsumption_resolution,[],[f2073,f1392]) ).
fof(f2073,plain,
( e4 = unit
| ~ spl34_138
| ~ spl34_200 ),
inference(forward_demodulation,[],[f2072,f1730]) ).
fof(f1730,plain,
( unit = op(unit,unit)
| ~ spl34_200 ),
inference(backward_demodulation,[],[f401,f1377]) ).
fof(f2072,plain,
( e4 = op(unit,unit)
| ~ spl34_138
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1023,f1377]) ).
fof(f1997,plain,
( spl34_203
| ~ spl34_3
| ~ spl34_15
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1996,f1375,f475,f424,f1387]) ).
fof(f424,plain,
( spl34_3
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f1996,plain,
( e1 = unit
| ~ spl34_3
| ~ spl34_15
| ~ spl34_200 ),
inference(forward_demodulation,[],[f426,f1866]) ).
fof(f1866,plain,
( op(e4,e4) = unit
| ~ spl34_15
| ~ spl34_200 ),
inference(backward_demodulation,[],[f1778,f477]) ).
fof(f1778,plain,
( unit = op(op(e2,e2),op(e2,e2))
| ~ spl34_200 ),
inference(forward_demodulation,[],[f413,f1377]) ).
fof(f426,plain,
( e1 = op(e4,e4)
| ~ spl34_3 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1961,plain,
( ~ spl34_24
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1960,plain,
( $false
| ~ spl34_24
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f1959,f1886]) ).
fof(f1886,plain,
( e3 != op(unit,unit)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1885,f406]) ).
fof(f1885,plain,
( op(unit,e3) != op(unit,unit)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f113,f1377]) ).
fof(f113,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1959,plain,
( e3 = op(unit,unit)
| ~ spl34_24
| ~ spl34_200 ),
inference(forward_demodulation,[],[f518,f1377]) ).
fof(f1942,plain,
( ~ spl34_111
| ~ spl34_93 ),
inference(avatar_split_clause,[],[f1941,f819,f896]) ).
fof(f819,plain,
( spl34_93
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_93])]) ).
fof(f1941,plain,
( e4 != op(e4,e1)
| ~ spl34_93 ),
inference(forward_demodulation,[],[f166,f821]) ).
fof(f821,plain,
( e4 = op(e3,e1)
| ~ spl34_93 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f166,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1935,plain,
( ~ spl34_15
| ~ spl34_88
| ~ spl34_200
| spl34_201 ),
inference(avatar_contradiction_clause,[],[f1934]) ).
fof(f1934,plain,
( $false
| ~ spl34_15
| ~ spl34_88
| ~ spl34_200
| spl34_201 ),
inference(subsumption_resolution,[],[f1933,f1380]) ).
fof(f1933,plain,
( e3 = unit
| ~ spl34_15
| ~ spl34_88
| ~ spl34_200 ),
inference(forward_demodulation,[],[f796,f1866]) ).
fof(f796,plain,
( e3 = op(e4,e4)
| ~ spl34_88 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl34_88
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_88])]) ).
fof(f1894,plain,
( spl34_191
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| spl34_191
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f1892,f400]) ).
fof(f1892,plain,
( e1 != op(unit,e1)
| spl34_191
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1301,f1377]) ).
fof(f1301,plain,
( e1 != op(e0,e1)
| spl34_191 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl34_191
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_191])]) ).
fof(f1831,plain,
( ~ spl34_31
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1830,f1375,f546]) ).
fof(f546,plain,
( spl34_31
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_31])]) ).
fof(f1830,plain,
( e4 != op(e4,e4)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1829,f405]) ).
fof(f1829,plain,
( op(e4,e4) != op(unit,e4)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f173,f1377]) ).
fof(f1792,plain,
( ~ spl34_69
| ~ spl34_125 ),
inference(avatar_split_clause,[],[f1791,f961,f709]) ).
fof(f961,plain,
( spl34_125
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_125])]) ).
fof(f1791,plain,
( e3 != op(e1,e3)
| ~ spl34_125 ),
inference(forward_demodulation,[],[f152,f963]) ).
fof(f963,plain,
( e3 = op(e1,e2)
| ~ spl34_125 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f152,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1771,plain,
( ~ spl34_15
| ~ spl34_100 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1770,plain,
( $false
| ~ spl34_15
| ~ spl34_100 ),
inference(subsumption_resolution,[],[f1769,f321]) ).
fof(f1769,plain,
( e1 = e4
| ~ spl34_15
| ~ spl34_100 ),
inference(forward_demodulation,[],[f477,f851]) ).
fof(f851,plain,
( e1 = op(e2,e2)
| ~ spl34_100 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f849,plain,
( spl34_100
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_100])]) ).
fof(f1763,plain,
( spl34_203
| ~ spl34_11
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1762,f1375,f458,f1387]) ).
fof(f458,plain,
( spl34_11
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_11])]) ).
fof(f1762,plain,
( e1 = unit
| ~ spl34_11
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1730,f1733]) ).
fof(f1733,plain,
( e1 = op(unit,unit)
| ~ spl34_11
| ~ spl34_200 ),
inference(backward_demodulation,[],[f460,f1377]) ).
fof(f460,plain,
( op(e0,e0) = e1
| ~ spl34_11 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f1761,plain,
( spl34_202
| ~ spl34_67
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1760,f1375,f700,f1383]) ).
fof(f1760,plain,
( e2 = unit
| ~ spl34_67
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1739,f403]) ).
fof(f1739,plain,
( unit = op(unit,e2)
| ~ spl34_67
| ~ spl34_200 ),
inference(backward_demodulation,[],[f701,f1377]) ).
fof(f701,plain,
( e0 = op(e0,e2)
| ~ spl34_67 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1754,plain,
( spl34_203
| ~ spl34_141
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1753,f1375,f1038,f1387]) ).
fof(f1753,plain,
( e1 = unit
| ~ spl34_141
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1742,f400]) ).
fof(f1742,plain,
( unit = op(unit,e1)
| ~ spl34_141
| ~ spl34_200 ),
inference(backward_demodulation,[],[f1040,f1377]) ).
fof(f1040,plain,
( e0 = op(e0,e1)
| ~ spl34_141 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1749,plain,
( ~ spl34_10
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| ~ spl34_10
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f1747,f322]) ).
fof(f1747,plain,
( e1 = e2
| ~ spl34_10
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1732,f402]) ).
fof(f1732,plain,
( e1 = op(e2,unit)
| ~ spl34_10
| ~ spl34_200 ),
inference(backward_demodulation,[],[f456,f1377]) ).
fof(f456,plain,
( e1 = op(e2,e0)
| ~ spl34_10 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl34_10
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).
fof(f1746,plain,
( ~ spl34_203
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f1728,f1375,f1387]) ).
fof(f1728,plain,
( e1 != unit
| ~ spl34_200 ),
inference(backward_demodulation,[],[f318,f1377]) ).
fof(f318,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1714,plain,
( spl34_196
| ~ spl34_5
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f1713,f454,f433,f1342]) ).
fof(f433,plain,
( spl34_5
<=> e2 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f1713,plain,
( e2 = op(e0,e1)
| ~ spl34_5
| ~ spl34_10 ),
inference(forward_demodulation,[],[f435,f456]) ).
fof(f435,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f1694,plain,
( ~ spl34_104
| ~ spl34_12 ),
inference(avatar_split_clause,[],[f1692,f462,f867]) ).
fof(f1692,plain,
( e1 != op(e1,e1)
| ~ spl34_12 ),
inference(backward_demodulation,[],[f129,f464]) ).
fof(f464,plain,
( e1 = op(e1,e0)
| ~ spl34_12 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f129,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1591,plain,
( ~ spl34_101
| ~ spl34_43 ),
inference(avatar_split_clause,[],[f1590,f598,f854]) ).
fof(f598,plain,
( spl34_43
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_43])]) ).
fof(f1590,plain,
( e1 != op(e2,e3)
| ~ spl34_43 ),
inference(backward_demodulation,[],[f139,f600]) ).
fof(f600,plain,
( e1 = op(e3,e3)
| ~ spl34_43 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f139,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1562,plain,
( ~ spl34_104
| ~ spl34_26 ),
inference(avatar_split_clause,[],[f1556,f525,f867]) ).
fof(f525,plain,
( spl34_26
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_26])]) ).
fof(f1556,plain,
( e1 != op(e1,e1)
| ~ spl34_26 ),
inference(backward_demodulation,[],[f161,f527]) ).
fof(f527,plain,
( e1 = op(e2,e1)
| ~ spl34_26 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f161,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1561,plain,
( ~ spl34_191
| ~ spl34_26 ),
inference(avatar_split_clause,[],[f1553,f525,f1300]) ).
fof(f1553,plain,
( e1 != op(e0,e1)
| ~ spl34_26 ),
inference(backward_demodulation,[],[f119,f527]) ).
fof(f119,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1535,plain,
( ~ spl34_10
| ~ spl34_11 ),
inference(avatar_split_clause,[],[f1528,f458,f454]) ).
fof(f1528,plain,
( e1 != op(e2,e0)
| ~ spl34_11 ),
inference(backward_demodulation,[],[f136,f460]) ).
fof(f136,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1493,plain,
( ~ spl34_111
| ~ spl34_31 ),
inference(avatar_split_clause,[],[f1483,f546,f896]) ).
fof(f1483,plain,
( e4 != op(e4,e1)
| ~ spl34_31 ),
inference(backward_demodulation,[],[f125,f547]) ).
fof(f547,plain,
( e4 = op(e4,e4)
| ~ spl34_31 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f125,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1478,plain,
( ~ spl34_121
| ~ spl34_50 ),
inference(avatar_split_clause,[],[f1472,f628,f944]) ).
fof(f628,plain,
( spl34_50
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_50])]) ).
fof(f1472,plain,
( e0 != op(e4,e4)
| ~ spl34_50 ),
inference(backward_demodulation,[],[f176,f630]) ).
fof(f630,plain,
( e0 = op(e4,e3)
| ~ spl34_50 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f176,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1464,plain,
( spl34_35
| ~ spl34_152 ),
inference(avatar_split_clause,[],[f200,f1093,f564]) ).
fof(f1093,plain,
( spl34_152
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_152])]) ).
fof(f200,plain,
( ~ sP23
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1460,plain,
( spl34_113
| ~ spl34_157 ),
inference(avatar_split_clause,[],[f250,f1113,f908]) ).
fof(f908,plain,
( spl34_113
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_113])]) ).
fof(f1113,plain,
( spl34_157
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_157])]) ).
fof(f250,plain,
( ~ sP6
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1437,plain,
( spl34_53
| spl34_148
| spl34_90
| spl34_190
| spl34_171 ),
inference(avatar_split_clause,[],[f325,f1184,f1296,f805,f1071,f640]) ).
fof(f325,plain,
( e4 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e0 = op(e4,e2)
| e1 = op(e4,e2) )
& ( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e4 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e2,e1)
| e4 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e0 = op(e4,e4)
| e2 = op(e4,e4)
| e4 = op(e4,e4)
| e3 = op(e4,e4)
| e1 = op(e4,e4) )
& ( e4 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e4 = op(e0,e4)
| e2 = op(e0,e4)
| e0 = op(e0,e4)
| e1 = op(e0,e4)
| e3 = op(e0,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3) )
& ( e2 = op(e4,e1)
| e3 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1) )
& ( op(e0,e0) = e4
| e0 = op(e0,e0)
| op(e0,e0) = e3
| op(e0,e0) = e1
| op(e0,e0) = e2 )
& ( e2 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e3 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4)
| e4 = op(e3,e4)
| e1 = op(e3,e4) )
& ( e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e4 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e4 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e0 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e1 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e1 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e4 = op(e2,e4) )
& ( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0) )
& ( e4 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e4 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1429,plain,
( spl34_160
| spl34_66
| spl34_24
| spl34_183
| spl34_205 ),
inference(avatar_split_clause,[],[f395,f1402,f1258,f516,f695,f1126]) ).
fof(f395,plain,
( e3 = op(e4,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e3)
| e4 = op(e4,e4)
| e4 = op(e4,e2) )
& ( e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e4,e2)
| e4 = op(e2,e2) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e2)
| e0 = op(e2,e3) )
& ( e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e4,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e4)
| e2 = op(e1,e0)
| e2 = op(e1,e3) )
& ( e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e4,e2) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e4) )
& ( e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e2,e4)
| e3 = op(e0,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e1,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0)
| op(e0,e0) = e4
| e4 = op(e2,e0) )
& ( op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| e1 = op(e0,e2) )
& ( e2 = op(e1,e4)
| e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e0 = op(e4,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3) )
& ( e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e2)
| e1 = op(e4,e4) )
& ( e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| e3 = op(e2,e3) )
& ( op(e0,e0) = e1
| e1 = op(e4,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0) )
& ( e4 = op(e0,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e4)
| e4 = op(e0,e3)
| op(e0,e0) = e4 )
& ( e0 = op(e3,e2)
| e0 = op(e3,e4)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1) )
& ( e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e3,e0)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e4)
| e4 = op(e3,e1) )
& ( e0 = op(e0,e0)
| e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e4,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4)
| e1 = op(e3,e4) )
& ( op(e0,e0) = e2
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e3,e0) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0) )
& ( e4 = op(e2,e1)
| e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| e4 = op(e2,e3) )
& ( e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3)
| e4 = op(e4,e3) )
& ( e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| e2 = op(e2,e2)
| e2 = op(e4,e2) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e1 = op(e3,e4)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e0)
| e0 = op(e0,e1) )
& ( e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e3,e1)
| e4 = op(e4,e1)
| e4 = op(e2,e1) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e4) )
& ( e3 = op(e4,e1)
| e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e4)
| e3 = op(e4,e2) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e1) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e1,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e4,e3) )
& ( e0 = op(e4,e4)
| e0 = op(e0,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e1,e4) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e4,e2) )
& ( e2 = op(e4,e1)
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| e0 = op(e4,e3)
| e0 = op(e4,e4) )
& ( e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| e3 = op(e3,e1)
| e3 = op(e4,e1) )
& ( e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e3) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e3) )
& ( e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e4)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1427,plain,
( ~ spl34_81
| spl34_134 ),
inference(avatar_split_clause,[],[f237,f1003,f761]) ).
fof(f761,plain,
( spl34_81
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_81])]) ).
fof(f237,plain,
( e3 = op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e3,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e3,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1423,plain,
( spl34_172
| spl34_138
| spl34_184
| spl34_178
| spl34_197 ),
inference(avatar_split_clause,[],[f388,f1354,f1220,f1262,f1021,f1191]) ).
fof(f388,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1420,plain,
( spl34_24
| ~ spl34_65 ),
inference(avatar_split_clause,[],[f210,f691,f516]) ).
fof(f691,plain,
( spl34_65
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_65])]) ).
fof(f210,plain,
( ~ sP20
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1408,plain,
( spl34_67
| spl34_114
| spl34_133
| spl34_145
| spl34_166 ),
inference(avatar_split_clause,[],[f345,f1159,f1057,f999,f912,f700]) ).
fof(f345,plain,
( e4 = op(e0,e2)
| e1 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1400,plain,
( ~ spl34_14
| spl34_60 ),
inference(avatar_split_clause,[],[f258,f670,f471]) ).
fof(f471,plain,
( spl34_14
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f258,plain,
( e2 = op(e4,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1398,plain,
( ~ spl34_156
| ~ spl34_95 ),
inference(avatar_split_clause,[],[f238,f827,f1109]) ).
fof(f1109,plain,
( spl34_156
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_156])]) ).
fof(f238,plain,
( e3 != op(e3,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1397,plain,
( ~ spl34_87
| spl34_18 ),
inference(avatar_split_clause,[],[f212,f489,f790]) ).
fof(f790,plain,
( spl34_87
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_87])]) ).
fof(f212,plain,
( e4 = op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1396,plain,
( ~ spl34_159
| ~ spl34_12 ),
inference(avatar_split_clause,[],[f247,f462,f1121]) ).
fof(f1121,plain,
( spl34_159
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_159])]) ).
fof(f247,plain,
( e1 != op(e1,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( op(e0,e0) = e1
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( op(e0,e0) = e1
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1394,plain,
( spl34_200
| spl34_201
| spl34_202
| spl34_203
| spl34_204 ),
inference(avatar_split_clause,[],[f399,f1391,f1387,f1383,f1379,f1375]) ).
fof(f399,plain,
( e4 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1373,plain,
( ~ spl34_104
| ~ spl34_132 ),
inference(avatar_split_clause,[],[f261,f994,f867]) ).
fof(f994,plain,
( spl34_132
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_132])]) ).
fof(f261,plain,
( ~ sP3
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1372,plain,
( spl34_51
| ~ spl34_65 ),
inference(avatar_split_clause,[],[f209,f691,f632]) ).
fof(f209,plain,
( ~ sP20
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1371,plain,
( ~ spl34_157
| ~ spl34_113 ),
inference(avatar_split_clause,[],[f251,f908,f1113]) ).
fof(f251,plain,
( e2 != op(e2,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f72]) ).
fof(f1359,plain,
( ~ spl34_155
| spl34_3 ),
inference(avatar_split_clause,[],[f230,f424,f1105]) ).
fof(f1105,plain,
( spl34_155
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_155])]) ).
fof(f230,plain,
( e1 = op(e4,e4)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e4 = op(e1,e1)
& e1 = op(e4,e4)
& e1 != op(e1,e4) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e4 = op(e1,e1)
& e1 = op(e4,e4)
& e1 != op(e1,e4) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1349,plain,
spl34_15,
inference(avatar_split_clause,[],[f410,f475]) ).
fof(f410,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f1340,plain,
( ~ spl34_1
| ~ spl34_195 ),
inference(avatar_split_clause,[],[f186,f1337,f415]) ).
fof(f415,plain,
( spl34_1
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f186,plain,
( e0 != op(e3,op(e3,e0))
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f1335,plain,
( spl34_67
| spl34_84
| spl34_122
| spl34_194
| spl34_193 ),
inference(avatar_split_clause,[],[f393,f1321,f1332,f949,f775,f700]) ).
fof(f393,plain,
( e0 = op(e3,e2)
| e0 = op(e4,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1329,plain,
( spl34_68
| spl34_87
| ~ spl34_149
| spl34_30
| spl34_159
| spl34_14
| spl34_153
| spl34_22
| spl34_65
| spl34_158
| spl34_79
| spl34_137
| spl34_23
| spl34_44
| spl34_157
| spl34_154
| spl34_155
| spl34_81
| spl34_4
| spl34_83
| spl34_19
| spl34_132
| spl34_156
| spl34_152
| spl34_92 ),
inference(avatar_split_clause,[],[f273,f814,f1093,f1109,f994,f493,f771,f428,f761,f1105,f1101,f1113,f602,f512,f1017,f752,f1117,f691,f507,f1097,f471,f1121,f542,f1075,f790,f704]) ).
fof(f704,plain,
( spl34_68
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_68])]) ).
fof(f1075,plain,
( spl34_149
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_149])]) ).
fof(f542,plain,
( spl34_30
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_30])]) ).
fof(f1097,plain,
( spl34_153
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_153])]) ).
fof(f507,plain,
( spl34_22
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_22])]) ).
fof(f1117,plain,
( spl34_158
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_158])]) ).
fof(f752,plain,
( spl34_79
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_79])]) ).
fof(f1017,plain,
( spl34_137
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_137])]) ).
fof(f512,plain,
( spl34_23
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_23])]) ).
fof(f602,plain,
( spl34_44
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_44])]) ).
fof(f1101,plain,
( spl34_154
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_154])]) ).
fof(f428,plain,
( spl34_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f771,plain,
( spl34_83
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_83])]) ).
fof(f493,plain,
( spl34_19
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_19])]) ).
fof(f814,plain,
( spl34_92
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_92])]) ).
fof(f273,plain,
( sP14
| sP23
| sP10
| sP3
| sP2
| sP16
| sP0
| sP11
| sP13
| sP9
| sP6
| sP8
| sP12
| sP21
| sP22
| sP5
| sP20
| sP18
| sP17
| sP4
| sP7
| sP15
| e3 != op(e3,e3)
| sP19
| sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| sP33
| sP32 )
& ( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| sP31
| sP30 )
& ( ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| sP29
| sP28 )
& ( ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| sP27
| sP26 )
& ( ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| sP25
| sP24 )
& ( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e4 != op(e4,e1)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
( ( e1 = op(e3,e3)
& e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
( ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e0 != op(e0,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e4 = op(e4,e4)
& e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0)
& op(e0,e0) = e2 )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
( ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e4 != op(e4,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f41,plain,
( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f9,plain,
( ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) ) )
& ( ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) ) )
& ( ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) ) )
& ( ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) ) )
& ( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e4 != op(e4,e0) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0)
& op(e0,e0) = e2 )
| ( e4 = op(e4,e4)
& e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e4 = op(e1,e1)
& e1 = op(e4,e4)
& e1 != op(e1,e4) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e0 != op(e0,e3) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e3,e3) )
| ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 != op(e2,e4)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e1 = op(e3,e3)
& e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( op(e0,e0) = e1
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e3 != op(e3,e2)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ( e4 != op(e4,e1)
& e1 = op(e4,e4)
& e4 = op(e1,e1) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) ) )
& ( ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) ) )
& ( ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) ) )
& ( ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) ) )
& ( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e4 != op(e4,e0) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0)
& op(e0,e0) = e2 )
| ( e4 = op(e4,e4)
& e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e4 = op(e1,e1)
& e1 = op(e4,e4)
& e1 != op(e1,e4) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e0 != op(e0,e3) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e3,e3) )
| ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 != op(e2,e4)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e1 = op(e3,e3)
& e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( op(e0,e0) = e1
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e3 != op(e3,e2)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ( e4 != op(e4,e1)
& e1 = op(e4,e4)
& e4 = op(e1,e1) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) ) )
& ( ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) ) )
& ( ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) ) )
& ( ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) ) )
& ( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e4 != op(e4,e0) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0)
& op(e0,e0) = e2 )
| ( e4 = op(e4,e4)
& e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e4 = op(e1,e1)
& e1 = op(e4,e4)
& e1 != op(e1,e4) )
| ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e0 != op(e0,e3) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e3,e3) )
| ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 != op(e2,e4)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e1 = op(e3,e3)
& e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( op(e0,e0) = e1
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e3 != op(e3,e2)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2)
& e4 = op(e2,e2) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ( e4 != op(e4,e1)
& e1 = op(e4,e4)
& e4 = op(e1,e1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1328,plain,
( spl34_167
| spl34_178
| spl34_186
| spl34_18
| spl34_93 ),
inference(avatar_split_clause,[],[f375,f819,f489,f1271,f1220,f1163]) ).
fof(f375,plain,
( e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1313,plain,
( spl34_134
| ~ spl34_158 ),
inference(avatar_split_clause,[],[f253,f1117,f1003]) ).
fof(f253,plain,
( ~ sP5
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1304,plain,
( spl34_45
| spl34_10
| spl34_100
| spl34_101
| spl34_26 ),
inference(avatar_split_clause,[],[f392,f525,f854,f849,f454,f607]) ).
fof(f392,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1293,plain,
( ~ spl34_7
| spl34_189 ),
inference(avatar_split_clause,[],[f184,f1290,f441]) ).
fof(f441,plain,
( spl34_7
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f184,plain,
( e4 = op(e0,op(e4,e0))
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1287,plain,
( spl34_60
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f241,f1101,f670]) ).
fof(f241,plain,
( ~ sP9
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1244,plain,
( spl34_106
| ~ spl34_4 ),
inference(avatar_split_clause,[],[f268,f428,f875]) ).
fof(f268,plain,
( ~ sP0
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e4 != op(e4,e1)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1243,plain,
( spl34_88
| ~ spl34_19 ),
inference(avatar_split_clause,[],[f263,f493,f794]) ).
fof(f263,plain,
( ~ sP2
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1242,plain,
( ~ spl34_159
| spl34_11 ),
inference(avatar_split_clause,[],[f249,f458,f1121]) ).
fof(f249,plain,
( op(e0,e0) = e1
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f1241,plain,
( spl34_23
| spl34_152
| spl34_157
| spl34_68
| spl34_132
| spl34_22
| spl34_83
| spl34_14
| spl34_81
| spl34_44
| spl34_156
| spl34_159
| spl34_137
| spl34_92
| spl34_19
| spl34_30
| spl34_154
| spl34_149
| spl34_87
| spl34_79
| spl34_158
| spl34_65
| spl34_155
| spl34_4
| spl34_153 ),
inference(avatar_split_clause,[],[f272,f1097,f428,f1105,f691,f1117,f752,f790,f1075,f1101,f542,f493,f814,f1017,f1121,f1109,f602,f761,f471,f771,f507,f994,f704,f1113,f1093,f512]) ).
fof(f272,plain,
( sP17
| sP0
| sP13
| sP20
| sP5
| sP22
| sP19
| e3 = op(e3,e3)
| sP9
| sP15
| sP2
| sP14
| sP21
| sP7
| sP10
| sP8
| sP11
| sP4
| sP16
| sP18
| sP3
| sP1
| sP6
| sP23
| sP12 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1239,plain,
( spl34_177
| spl34_80
| spl34_116
| spl34_97
| spl34_180 ),
inference(avatar_split_clause,[],[f378,f1236,f835,f920,f757,f1216]) ).
fof(f378,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1230,plain,
( ~ spl34_23
| spl34_51 ),
inference(avatar_split_clause,[],[f233,f632,f512]) ).
fof(f233,plain,
( e0 = op(e3,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( op(e0,e0) = e3
& e0 = op(e3,e3)
& e0 != op(e0,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1209,plain,
( spl34_174
| spl34_170
| spl34_175
| spl34_99
| spl34_142 ),
inference(avatar_split_clause,[],[f341,f1042,f844,f1206,f1180,f1202]) ).
fof(f341,plain,
( e0 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1173,plain,
( ~ spl34_153
| spl34_138 ),
inference(avatar_split_clause,[],[f217,f1021,f1097]) ).
fof(f217,plain,
( op(e0,e0) = e4
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1156,plain,
( ~ spl34_156
| spl34_43 ),
inference(avatar_split_clause,[],[f239,f598,f1109]) ).
fof(f239,plain,
( e1 = op(e3,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f1150,plain,
( spl34_106
| ~ spl34_155 ),
inference(avatar_split_clause,[],[f231,f1105,f875]) ).
fof(f231,plain,
( ~ sP13
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1149,plain,
( spl34_104
| ~ spl34_132 ),
inference(avatar_split_clause,[],[f260,f994,f867]) ).
fof(f260,plain,
( ~ sP3
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1130,plain,
( ~ spl34_35
| ~ spl34_152 ),
inference(avatar_split_clause,[],[f201,f1093,f564]) ).
fof(f201,plain,
( ~ sP23
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f1081,plain,
( ~ spl34_141
| ~ spl34_92 ),
inference(avatar_split_clause,[],[f228,f814,f1038]) ).
fof(f228,plain,
( ~ sP14
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1079,plain,
( ~ spl34_79
| spl34_100 ),
inference(avatar_split_clause,[],[f204,f849,f752]) ).
fof(f204,plain,
( e1 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1065,plain,
( spl34_84
| ~ spl34_68 ),
inference(avatar_split_clause,[],[f267,f704,f775]) ).
fof(f267,plain,
( ~ sP1
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1045,plain,
( spl34_67
| spl34_35
| spl34_141
| spl34_53
| spl34_142 ),
inference(avatar_split_clause,[],[f363,f1042,f640,f1038,f564,f700]) ).
fof(f363,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1036,plain,
( spl34_7
| spl34_6
| spl34_118
| spl34_1
| spl34_5 ),
inference(avatar_split_clause,[],[f304,f433,f415,f930,f437,f441]) ).
fof(f304,plain,
( e2 = op(e0,op(e2,e0))
| sP30
| e1 = op(e0,op(e1,e0))
| e0 = op(e0,op(e0,e0))
| sP31 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1025,plain,
( ~ spl34_30
| spl34_31 ),
inference(avatar_split_clause,[],[f224,f546,f542]) ).
fof(f224,plain,
( e4 = op(e4,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e4 = op(e4,e4)
& e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1024,plain,
( ~ spl34_137
| spl34_138 ),
inference(avatar_split_clause,[],[f206,f1021,f1017]) ).
fof(f206,plain,
( op(e0,e0) = e4
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e4 != op(e4,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f964,plain,
( spl34_115
| spl34_122
| spl34_123
| spl34_124
| spl34_125 ),
inference(avatar_split_clause,[],[f332,f961,f957,f953,f949,f916]) ).
fof(f332,plain,
( e3 = op(e1,e2)
| e4 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f901,plain,
( spl34_107
| ~ spl34_44 ),
inference(avatar_split_clause,[],[f245,f602,f879]) ).
fof(f245,plain,
( ~ sP8
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e1 = op(e3,e3)
& e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f852,plain,
( ~ spl34_22
| spl34_100 ),
inference(avatar_split_clause,[],[f214,f849,f507]) ).
fof(f214,plain,
( e1 = op(e2,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f817,plain,
( spl34_11
| ~ spl34_92 ),
inference(avatar_split_clause,[],[f227,f814,f458]) ).
fof(f227,plain,
( ~ sP14
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f797,plain,
( ~ spl34_87
| spl34_88 ),
inference(avatar_split_clause,[],[f213,f794,f790]) ).
fof(f213,plain,
( e3 = op(e4,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f778,plain,
( ~ spl34_83
| spl34_84 ),
inference(avatar_split_clause,[],[f222,f775,f771]) ).
fof(f222,plain,
( e0 = op(e2,e2)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0)
& op(e0,e0) = e2 )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f647,plain,
( spl34_50
| spl34_51
| spl34_52
| spl34_53
| spl34_54 ),
inference(avatar_split_clause,[],[f384,f644,f640,f636,f632,f628]) ).
fof(f384,plain,
( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f605,plain,
( spl34_43
| ~ spl34_44 ),
inference(avatar_split_clause,[],[f246,f602,f598]) ).
fof(f246,plain,
( ~ sP8
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f519,plain,
( ~ spl34_23
| spl34_24 ),
inference(avatar_split_clause,[],[f234,f516,f512]) ).
fof(f234,plain,
( op(e0,e0) = e3
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f496,plain,
( spl34_18
| ~ spl34_19 ),
inference(avatar_split_clause,[],[f262,f493,f489]) ).
fof(f262,plain,
( ~ sP2
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f431,plain,
( spl34_3
| ~ spl34_4 ),
inference(avatar_split_clause,[],[f269,f428,f424]) ).
fof(f269,plain,
( ~ sP0
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG056+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:52:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (9572)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (9565)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (9573)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (9581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (9577)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (9578)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (9572)Instruction limit reached!
% 0.19/0.52 % (9572)------------------------------
% 0.19/0.52 % (9572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9572)Termination reason: Unknown
% 0.19/0.52 % (9572)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9572)Memory used [KB]: 1023
% 0.19/0.52 % (9572)Time elapsed: 0.007 s
% 0.19/0.52 % (9572)Instructions burned: 8 (million)
% 0.19/0.52 % (9572)------------------------------
% 0.19/0.52 % (9572)------------------------------
% 0.19/0.52 % (9588)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (9580)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (9571)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9570)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (9579)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (9590)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (9567)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (9568)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9573)Instruction limit reached!
% 0.19/0.53 % (9573)------------------------------
% 0.19/0.53 % (9573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9573)Termination reason: Unknown
% 0.19/0.53 % (9573)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (9573)Memory used [KB]: 1023
% 0.19/0.53 % (9573)Time elapsed: 0.004 s
% 0.19/0.53 % (9573)Instructions burned: 4 (million)
% 0.19/0.53 % (9573)------------------------------
% 0.19/0.53 % (9573)------------------------------
% 0.19/0.53 % (9585)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (9566)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (9569)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (9576)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9587)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (9583)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9574)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (9589)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (9591)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (9593)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (9592)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55 % (9594)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 % (9582)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (9575)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (9584)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (9586)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.58 TRYING [5]
% 0.19/0.59 % (9567)Instruction limit reached!
% 0.19/0.59 % (9567)------------------------------
% 0.19/0.59 % (9567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (9567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (9567)Termination reason: Unknown
% 0.19/0.59 % (9567)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (9567)Memory used [KB]: 1279
% 0.19/0.59 % (9567)Time elapsed: 0.180 s
% 0.19/0.59 % (9567)Instructions burned: 37 (million)
% 0.19/0.59 % (9567)------------------------------
% 0.19/0.59 % (9567)------------------------------
% 1.82/0.61 % (9571)Instruction limit reached!
% 1.82/0.61 % (9571)------------------------------
% 1.82/0.61 % (9571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (9571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (9571)Termination reason: Unknown
% 1.82/0.61 % (9571)Termination phase: Finite model building preprocessing
% 1.82/0.61
% 1.82/0.61 % (9571)Memory used [KB]: 7291
% 1.82/0.61 % (9571)Time elapsed: 0.023 s
% 1.82/0.61 % (9571)Instructions burned: 53 (million)
% 1.82/0.61 % (9571)------------------------------
% 1.82/0.61 % (9571)------------------------------
% 1.82/0.61 % (9580)Instruction limit reached!
% 1.82/0.61 % (9580)------------------------------
% 1.82/0.61 % (9580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (9580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (9580)Termination reason: Unknown
% 1.82/0.61 % (9580)Termination phase: Saturation
% 1.82/0.61
% 1.82/0.61 % (9580)Memory used [KB]: 1663
% 1.82/0.61 % (9580)Time elapsed: 0.195 s
% 1.82/0.61 % (9580)Instructions burned: 75 (million)
% 1.82/0.61 % (9580)------------------------------
% 1.82/0.61 % (9580)------------------------------
% 1.82/0.61 % (9570)Instruction limit reached!
% 1.82/0.61 % (9570)------------------------------
% 1.82/0.61 % (9570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (9570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (9570)Termination reason: Unknown
% 1.82/0.61 % (9570)Termination phase: Saturation
% 1.82/0.61
% 1.82/0.61 % (9570)Memory used [KB]: 6524
% 1.82/0.61 % (9570)Time elapsed: 0.201 s
% 1.82/0.61 % (9570)Instructions burned: 48 (million)
% 1.82/0.61 % (9570)------------------------------
% 1.82/0.61 % (9570)------------------------------
% 1.82/0.62 % (9568)Instruction limit reached!
% 1.82/0.62 % (9568)------------------------------
% 1.82/0.62 % (9568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62 % (9568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62 % (9568)Termination reason: Unknown
% 1.82/0.62 % (9568)Termination phase: Saturation
% 1.82/0.62
% 1.82/0.62 % (9568)Memory used [KB]: 6908
% 1.82/0.62 % (9568)Time elapsed: 0.182 s
% 1.82/0.62 % (9568)Instructions burned: 52 (million)
% 1.82/0.62 % (9568)------------------------------
% 1.82/0.62 % (9568)------------------------------
% 2.04/0.62 % (9569)Instruction limit reached!
% 2.04/0.62 % (9569)------------------------------
% 2.04/0.62 % (9569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (9569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (9569)Termination reason: Unknown
% 2.04/0.62 % (9569)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (9569)Memory used [KB]: 6652
% 2.04/0.62 % (9569)Time elapsed: 0.025 s
% 2.04/0.62 % (9569)Instructions burned: 51 (million)
% 2.04/0.62 % (9569)------------------------------
% 2.04/0.62 % (9569)------------------------------
% 2.04/0.62 % (9566)Instruction limit reached!
% 2.04/0.62 % (9566)------------------------------
% 2.04/0.62 % (9566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (9566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (9566)Termination reason: Unknown
% 2.04/0.62 % (9566)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (9566)Memory used [KB]: 6652
% 2.04/0.62 % (9566)Time elapsed: 0.027 s
% 2.04/0.62 % (9566)Instructions burned: 51 (million)
% 2.04/0.62 % (9566)------------------------------
% 2.04/0.62 % (9566)------------------------------
% 2.04/0.62 % (9574)Instruction limit reached!
% 2.04/0.62 % (9574)------------------------------
% 2.04/0.62 % (9574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (9574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (9574)Termination reason: Unknown
% 2.04/0.62 % (9574)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (9574)Memory used [KB]: 1535
% 2.04/0.62 % (9574)Time elapsed: 0.215 s
% 2.04/0.62 % (9574)Instructions burned: 52 (million)
% 2.04/0.62 % (9574)------------------------------
% 2.04/0.62 % (9574)------------------------------
% 2.15/0.63 % (9582)Instruction limit reached!
% 2.15/0.63 % (9582)------------------------------
% 2.15/0.63 % (9582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63 % (9582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63 % (9582)Termination reason: Unknown
% 2.15/0.63 % (9582)Termination phase: Finite model building preprocessing
% 2.15/0.63
% 2.15/0.63 % (9582)Memory used [KB]: 7675
% 2.15/0.63 % (9582)Time elapsed: 0.025 s
% 2.15/0.63 % (9582)Instructions burned: 60 (million)
% 2.15/0.63 % (9582)------------------------------
% 2.15/0.63 % (9582)------------------------------
% 2.15/0.63 % (9575)Instruction limit reached!
% 2.15/0.63 % (9575)------------------------------
% 2.15/0.63 % (9575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63 % (9575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63 % (9575)Termination reason: Unknown
% 2.15/0.63 % (9575)Termination phase: Saturation
% 2.15/0.63
% 2.15/0.63 % (9575)Memory used [KB]: 6908
% 2.15/0.63 % (9575)Time elapsed: 0.026 s
% 2.15/0.63 % (9575)Instructions burned: 51 (million)
% 2.15/0.63 % (9575)------------------------------
% 2.15/0.63 % (9575)------------------------------
% 2.15/0.64 % (9588)First to succeed.
% 2.15/0.64 % (9579)Instruction limit reached!
% 2.15/0.64 % (9579)------------------------------
% 2.15/0.64 % (9579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64 % (9579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64 % (9579)Termination reason: Unknown
% 2.15/0.64 % (9579)Termination phase: Saturation
% 2.15/0.64
% 2.15/0.64 % (9579)Memory used [KB]: 6780
% 2.15/0.64 % (9579)Time elapsed: 0.034 s
% 2.15/0.64 % (9579)Instructions burned: 69 (million)
% 2.15/0.64 % (9579)------------------------------
% 2.15/0.64 % (9579)------------------------------
% 2.15/0.65 % (9591)Instruction limit reached!
% 2.15/0.65 % (9591)------------------------------
% 2.15/0.65 % (9591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (9591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (9591)Termination reason: Unknown
% 2.15/0.65 % (9591)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (9591)Memory used [KB]: 6780
% 2.15/0.65 % (9591)Time elapsed: 0.036 s
% 2.15/0.65 % (9591)Instructions burned: 69 (million)
% 2.15/0.65 % (9591)------------------------------
% 2.15/0.65 % (9591)------------------------------
% 2.15/0.66 % (9588)Refutation found. Thanks to Tanya!
% 2.15/0.66 % SZS status Theorem for theBenchmark
% 2.15/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.66 % (9588)------------------------------
% 2.15/0.66 % (9588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66 % (9588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66 % (9588)Termination reason: Refutation
% 2.15/0.66
% 2.15/0.66 % (9588)Memory used [KB]: 7931
% 2.15/0.66 % (9588)Time elapsed: 0.132 s
% 2.15/0.66 % (9588)Instructions burned: 97 (million)
% 2.15/0.66 % (9588)------------------------------
% 2.15/0.66 % (9588)------------------------------
% 2.15/0.66 % (9564)Success in time 0.3 s
%------------------------------------------------------------------------------