TSTP Solution File: ALG057+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG057+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_uns --cores 0 -t %d %s
% Computer : n015.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 15:39:17 EDT 2022
% Result : Theorem 2.13s 0.73s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 192
% Syntax : Number of formulae : 827 ( 111 unt; 0 def)
% Number of atoms : 2956 (1713 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3466 (1337 ~;1412 |; 566 &)
% ( 151 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 187 ( 185 usr; 186 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4350,plain,
$false,
inference(avatar_sat_refutation,[],[f655,f695,f747,f807,f821,f933,f959,f968,f1051,f1088,f1099,f1122,f1137,f1165,f1218,f1220,f1249,f1275,f1280,f1303,f1310,f1330,f1336,f1341,f1366,f1372,f1382,f1417,f1422,f1443,f1444,f1453,f1455,f1456,f1463,f1479,f1481,f1482,f1489,f1500,f1510,f1523,f1525,f1526,f1537,f1546,f1585,f1589,f1591,f1607,f1611,f1616,f1618,f1621,f1627,f1632,f1637,f1650,f1653,f1686,f1694,f1697,f1702,f1714,f1716,f1742,f1867,f1941,f1942,f1949,f1950,f1976,f1988,f1996,f2005,f2043,f2048,f2072,f2080,f2085,f2115,f2206,f2215,f2243,f2251,f2293,f2321,f2327,f2377,f2405,f2409,f2425,f2434,f2437,f2440,f2448,f2550,f2572,f2574,f2691,f2740,f2767,f2770,f2807,f2831,f2885,f2893,f2901,f2925,f2940,f2957,f2965,f2985,f3013,f3041,f3063,f3086,f3093,f3103,f3127,f3144,f3190,f3207,f3212,f3216,f3221,f3224,f3249,f3329,f3339,f3360,f3388,f3397,f3435,f3462,f3479,f3508,f3515,f3527,f3558,f3576,f3607,f3613,f3635,f3660,f3671,f3691,f3704,f3728,f3781,f3810,f3822,f3835,f3841,f3846,f3852,f3859,f3873,f3881,f3920,f3923,f3949,f3968,f4015,f4160,f4162,f4206,f4237,f4277,f4338]) ).
fof(f4338,plain,
( ~ spl34_205
| spl34_224
| ~ spl34_228 ),
inference(avatar_contradiction_clause,[],[f4337]) ).
fof(f4337,plain,
( $false
| ~ spl34_205
| spl34_224
| ~ spl34_228 ),
inference(subsumption_resolution,[],[f3903,f1451]) ).
fof(f1451,plain,
( e3 != op(e4,e1)
| spl34_224 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1450,plain,
( spl34_224
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_224])]) ).
fof(f3903,plain,
( e3 = op(e4,e1)
| ~ spl34_205
| ~ spl34_228 ),
inference(forward_demodulation,[],[f1488,f1356]) ).
fof(f1356,plain,
( e1 = op(e3,e4)
| ~ spl34_205 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl34_205
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_205])]) ).
fof(f1488,plain,
( e3 = op(e4,op(e3,e4))
| ~ spl34_228 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl34_228
<=> e3 = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_228])]) ).
fof(f4277,plain,
( ~ spl34_243
| ~ spl34_139 ),
inference(avatar_split_clause,[],[f4261,f1025,f1582]) ).
fof(f1582,plain,
( spl34_243
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_243])]) ).
fof(f1025,plain,
( spl34_139
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_139])]) ).
fof(f4261,plain,
( e0 != op(e3,e3)
| ~ spl34_139 ),
inference(backward_demodulation,[],[f235,f1027]) ).
fof(f1027,plain,
( e0 = op(e2,e3)
| ~ spl34_139 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f235,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e1,e2) != op(e4,e2)
& op(e3,e1) != op(e3,e2)
& op(e3,e3) != op(e3,e4)
& op(e0,e0) != op(e3,e0)
& op(e0,e2) != op(e2,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e3) != op(e4,e3)
& op(e3,e0) != op(e3,e4)
& op(e0,e3) != op(e4,e3)
& op(e2,e1) != op(e2,e3)
& op(e3,e1) != op(e4,e1)
& op(e1,e0) != op(e3,e0)
& op(e2,e1) != op(e3,e1)
& op(e3,e2) != op(e4,e2)
& op(e2,e1) != op(e2,e2)
& op(e2,e2) != op(e2,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e3) != op(e3,e3)
& op(e2,e4) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e0,e4) != op(e3,e4)
& op(e2,e3) != op(e4,e3)
& op(e2,e0) != op(e2,e3)
& op(e4,e1) != op(e4,e3)
& op(e1,e1) != op(e4,e1)
& op(e2,e0) != op(e2,e4)
& op(e1,e1) != op(e1,e4)
& op(e3,e0) != op(e3,e2)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e2) != op(e1,e2)
& op(e1,e2) != op(e1,e3)
& op(e1,e3) != op(e1,e4)
& op(e0,e1) != op(e0,e3)
& op(e1,e3) != op(e2,e3)
& op(e4,e1) != op(e4,e4)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e3,e2)
& op(e1,e1) != op(e1,e3)
& op(e3,e4) != op(e4,e4)
& op(e2,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e0,e2) != op(e0,e4)
& op(e3,e0) != op(e4,e0)
& op(e0,e3) != op(e1,e3)
& op(e0,e1) != op(e3,e1)
& op(e1,e0) != op(e1,e2)
& op(e0,e3) != op(e2,e3)
& op(e0,e1) != op(e0,e2)
& op(e2,e0) != op(e3,e0)
& op(e0,e2) != op(e4,e2)
& op(e2,e1) != op(e2,e4)
& op(e3,e1) != op(e3,e3)
& op(e4,e0) != op(e4,e2)
& op(e2,e0) != op(e2,e2)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e0,e1) != op(e1,e1)
& op(e1,e0) != op(e1,e3)
& op(e4,e1) != op(e4,e2)
& op(e2,e4) != op(e4,e4)
& op(e1,e3) != op(e4,e3)
& op(e3,e1) != op(e3,e4)
& op(e0,e3) != op(e3,e3)
& op(e1,e2) != op(e1,e4)
& op(e0,e0) != op(e4,e0)
& op(e3,e0) != op(e3,e1)
& op(e1,e4) != op(e3,e4)
& op(e1,e2) != op(e3,e2)
& op(e0,e4) != op(e4,e4)
& op(e4,e3) != op(e4,e4)
& op(e2,e2) != op(e3,e2)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e2,e0)
& op(e4,e2) != op(e4,e4)
& op(e2,e3) != op(e3,e3)
& op(e1,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e2) != op(e2,e2)
& op(e0,e4) != op(e1,e4)
& op(e2,e3) != op(e2,e4)
& op(e2,e1) != op(e4,e1)
& op(e0,e4) != op(e2,e4)
& op(e4,e2) != op(e4,e3)
& op(e0,e0) != op(e0,e3)
& op(e2,e2) != op(e4,e2)
& op(e1,e1) != op(e3,e1)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0)
& op(e1,e0) != op(e1,e4)
& op(e3,e2) != op(e3,e4)
& op(e0,e0) != op(e0,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e0) != op(e4,e0)
& op(e0,e1) != op(e2,e1)
& op(e4,e0) != op(e4,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f4237,plain,
( spl34_61
| ~ spl34_75
| ~ spl34_165 ),
inference(avatar_split_clause,[],[f4227,f1144,f740,f678]) ).
fof(f678,plain,
( spl34_61
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_61])]) ).
fof(f740,plain,
( spl34_75
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_75])]) ).
fof(f1144,plain,
( spl34_165
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_165])]) ).
fof(f4227,plain,
( e1 = op(e2,e0)
| ~ spl34_75
| ~ spl34_165 ),
inference(backward_demodulation,[],[f741,f1146]) ).
fof(f1146,plain,
( e1 = op(e0,e2)
| ~ spl34_165 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f741,plain,
( op(e0,e2) = op(e2,e0)
| ~ spl34_75 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f4206,plain,
( spl34_143
| ~ spl34_219 ),
inference(avatar_split_clause,[],[f4202,f1428,f1043]) ).
fof(f1043,plain,
( spl34_143
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_143])]) ).
fof(f1428,plain,
( spl34_219
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_219])]) ).
fof(f4202,plain,
( e3 = op(e3,e1)
| ~ spl34_219 ),
inference(backward_demodulation,[],[f343,f1430]) ).
fof(f1430,plain,
( e1 = unit
| ~ spl34_219 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f343,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(unit,e1)
& e4 = op(unit,e4)
& e2 = op(e2,unit)
& ( e4 = unit
| e3 = unit
| e2 = unit
| e0 = unit
| e1 = unit )
& e0 = op(unit,e0)
& e3 = op(unit,e3)
& e3 = op(e3,unit)
& e0 = op(e0,unit)
& e1 = op(e1,unit)
& e2 = op(unit,e2)
& e4 = op(e4,unit) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4162,plain,
( ~ spl34_50
| ~ spl34_47 ),
inference(avatar_split_clause,[],[f4161,f618,f630]) ).
fof(f630,plain,
( spl34_50
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_50])]) ).
fof(f618,plain,
( spl34_47
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_47])]) ).
fof(f4161,plain,
( e4 != op(e3,e3)
| ~ spl34_47 ),
inference(forward_demodulation,[],[f308,f620]) ).
fof(f620,plain,
( e4 = op(e3,e0)
| ~ spl34_47 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f308,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4160,plain,
( spl34_110
| ~ spl34_96
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f4159,f1419,f831,f892]) ).
fof(f892,plain,
( spl34_110
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_110])]) ).
fof(f831,plain,
( spl34_96
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_96])]) ).
fof(f1419,plain,
( spl34_217
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_217])]) ).
fof(f4159,plain,
( e3 = op(e1,e4)
| ~ spl34_96
| ~ spl34_217 ),
inference(backward_demodulation,[],[f1420,f833]) ).
fof(f833,plain,
( e1 = op(e4,e3)
| ~ spl34_96 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1420,plain,
( e3 = op(op(e4,e3),e4)
| ~ spl34_217 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f4015,plain,
( ~ spl34_234
| ~ spl34_194 ),
inference(avatar_split_clause,[],[f4014,f1288,f1530]) ).
fof(f1530,plain,
( spl34_234
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_234])]) ).
fof(f1288,plain,
( spl34_194
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_194])]) ).
fof(f4014,plain,
( e2 != op(e4,e1)
| ~ spl34_194 ),
inference(forward_demodulation,[],[f288,f1290]) ).
fof(f1290,plain,
( e2 = op(e4,e3)
| ~ spl34_194 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f288,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3968,plain,
( ~ spl34_17
| ~ spl34_164 ),
inference(avatar_split_clause,[],[f3967,f1140,f487]) ).
fof(f487,plain,
( spl34_17
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_17])]) ).
fof(f1140,plain,
( spl34_164
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_164])]) ).
fof(f3967,plain,
( e2 != op(e3,e2)
| ~ spl34_164 ),
inference(forward_demodulation,[],[f274,f1142]) ).
fof(f1142,plain,
( e2 = op(e0,e2)
| ~ spl34_164 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f274,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3949,plain,
( ~ spl34_184
| ~ spl34_198 ),
inference(avatar_split_clause,[],[f3948,f1312,f1242]) ).
fof(f1242,plain,
( spl34_184
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_184])]) ).
fof(f1312,plain,
( spl34_198
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_198])]) ).
fof(f3948,plain,
( e3 != op(e3,e2)
| ~ spl34_198 ),
inference(forward_demodulation,[],[f284,f1314]) ).
fof(f1314,plain,
( e3 = op(e3,e0)
| ~ spl34_198 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f284,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3923,plain,
( ~ spl34_131
| ~ spl34_181 ),
inference(avatar_contradiction_clause,[],[f3922]) ).
fof(f3922,plain,
( $false
| ~ spl34_131
| ~ spl34_181 ),
inference(subsumption_resolution,[],[f3921,f410]) ).
fof(f410,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e0 != e1
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3
& e0 != e4
& e1 != e4
& e0 != e2
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f3921,plain,
( e1 = e3
| ~ spl34_131
| ~ spl34_181 ),
inference(forward_demodulation,[],[f1228,f990]) ).
fof(f990,plain,
( e1 = op(e0,e1)
| ~ spl34_131 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl34_131
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_131])]) ).
fof(f1228,plain,
( e3 = op(e0,e1)
| ~ spl34_181 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1226,plain,
( spl34_181
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_181])]) ).
fof(f3920,plain,
( ~ spl34_36
| ~ spl34_89 ),
inference(avatar_contradiction_clause,[],[f3919]) ).
fof(f3919,plain,
( $false
| ~ spl34_36
| ~ spl34_89 ),
inference(subsumption_resolution,[],[f3918,f572]) ).
fof(f572,plain,
( e3 = op(e0,e3)
| ~ spl34_36 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl34_36
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_36])]) ).
fof(f3918,plain,
( e3 != op(e0,e3)
| ~ spl34_89 ),
inference(forward_demodulation,[],[f305,f801]) ).
fof(f801,plain,
( e3 = op(e4,e3)
| ~ spl34_89 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f799,plain,
( spl34_89
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_89])]) ).
fof(f305,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3881,plain,
( ~ spl34_45
| ~ spl34_164
| ~ spl34_202 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3880,plain,
( $false
| ~ spl34_45
| ~ spl34_164
| ~ spl34_202 ),
inference(subsumption_resolution,[],[f3879,f409]) ).
fof(f409,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3879,plain,
( e2 = e3
| ~ spl34_45
| ~ spl34_164
| ~ spl34_202 ),
inference(forward_demodulation,[],[f3878,f1142]) ).
fof(f3878,plain,
( e3 = op(e0,e2)
| ~ spl34_45
| ~ spl34_202 ),
inference(forward_demodulation,[],[f1340,f611]) ).
fof(f611,plain,
( e0 = op(e3,e2)
| ~ spl34_45 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl34_45
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_45])]) ).
fof(f1340,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl34_202 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl34_202
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_202])]) ).
fof(f3873,plain,
( ~ spl34_45
| ~ spl34_155
| ~ spl34_216 ),
inference(avatar_contradiction_clause,[],[f3872]) ).
fof(f3872,plain,
( $false
| ~ spl34_45
| ~ spl34_155
| ~ spl34_216 ),
inference(subsumption_resolution,[],[f3871,f413]) ).
fof(f413,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f3871,plain,
( e0 = e1
| ~ spl34_45
| ~ spl34_155
| ~ spl34_216 ),
inference(forward_demodulation,[],[f3870,f611]) ).
fof(f3870,plain,
( e1 = op(e3,e2)
| ~ spl34_155
| ~ spl34_216 ),
inference(forward_demodulation,[],[f1098,f1416]) ).
fof(f1416,plain,
( e3 = op(e1,e2)
| ~ spl34_216 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f1414,plain,
( spl34_216
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_216])]) ).
fof(f1098,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl34_155 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1096,plain,
( spl34_155
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_155])]) ).
fof(f3859,plain,
( ~ spl34_14
| ~ spl34_207
| ~ spl34_224 ),
inference(avatar_contradiction_clause,[],[f3858]) ).
fof(f3858,plain,
( $false
| ~ spl34_14
| ~ spl34_207
| ~ spl34_224 ),
inference(subsumption_resolution,[],[f3857,f405]) ).
fof(f405,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3857,plain,
( e2 = e4
| ~ spl34_14
| ~ spl34_207
| ~ spl34_224 ),
inference(forward_demodulation,[],[f3856,f477]) ).
fof(f477,plain,
( e2 = op(e3,e1)
| ~ spl34_14 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl34_14
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f3856,plain,
( e4 = op(e3,e1)
| ~ spl34_207
| ~ spl34_224 ),
inference(forward_demodulation,[],[f1371,f1452]) ).
fof(f1452,plain,
( e3 = op(e4,e1)
| ~ spl34_224 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1371,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl34_207 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1369,plain,
( spl34_207
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_207])]) ).
fof(f3852,plain,
( ~ spl34_26
| ~ spl34_131
| spl34_230 ),
inference(avatar_contradiction_clause,[],[f3851]) ).
fof(f3851,plain,
( $false
| ~ spl34_26
| ~ spl34_131
| spl34_230 ),
inference(subsumption_resolution,[],[f3850,f530]) ).
fof(f530,plain,
( e1 = op(e1,e0)
| ~ spl34_26 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl34_26
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_26])]) ).
fof(f3850,plain,
( e1 != op(e1,e0)
| ~ spl34_131
| spl34_230 ),
inference(forward_demodulation,[],[f1499,f990]) ).
fof(f1499,plain,
( e1 != op(op(e0,e1),e0)
| spl34_230 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1497,plain,
( spl34_230
<=> e1 = op(op(e0,e1),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_230])]) ).
fof(f3846,plain,
( ~ spl34_26
| spl34_93
| ~ spl34_131 ),
inference(avatar_contradiction_clause,[],[f3845]) ).
fof(f3845,plain,
( $false
| ~ spl34_26
| spl34_93
| ~ spl34_131 ),
inference(subsumption_resolution,[],[f3844,f990]) ).
fof(f3844,plain,
( e1 != op(e0,e1)
| ~ spl34_26
| spl34_93 ),
inference(forward_demodulation,[],[f820,f530]) ).
fof(f820,plain,
( op(e0,e1) != op(e1,e0)
| spl34_93 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl34_93
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_93])]) ).
fof(f3841,plain,
( spl34_35
| ~ spl34_179
| ~ spl34_183 ),
inference(avatar_contradiction_clause,[],[f3840]) ).
fof(f3840,plain,
( $false
| spl34_35
| ~ spl34_179
| ~ spl34_183 ),
inference(subsumption_resolution,[],[f3839,f567]) ).
fof(f567,plain,
( e1 != op(e0,e3)
| spl34_35 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl34_35
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_35])]) ).
fof(f3839,plain,
( e1 = op(e0,e3)
| ~ spl34_179
| ~ spl34_183 ),
inference(forward_demodulation,[],[f1217,f1239]) ).
fof(f1239,plain,
( e0 = op(e1,e3)
| ~ spl34_183 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1237,plain,
( spl34_183
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_183])]) ).
fof(f1217,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl34_179 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1215,plain,
( spl34_179
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_179])]) ).
fof(f3835,plain,
( ~ spl34_122
| ~ spl34_216
| spl34_231 ),
inference(avatar_contradiction_clause,[],[f3834]) ).
fof(f3834,plain,
( $false
| ~ spl34_122
| ~ spl34_216
| spl34_231 ),
inference(subsumption_resolution,[],[f3833,f1416]) ).
fof(f3833,plain,
( e3 != op(e1,e2)
| ~ spl34_122
| spl34_231 ),
inference(forward_demodulation,[],[f1509,f950]) ).
fof(f950,plain,
( e1 = op(e2,e3)
| ~ spl34_122 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl34_122
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_122])]) ).
fof(f1509,plain,
( e3 != op(op(e2,e3),e2)
| spl34_231 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl34_231
<=> e3 = op(op(e2,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_231])]) ).
fof(f3822,plain,
( spl34_121
| ~ spl34_144
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3821,plain,
( $false
| spl34_121
| ~ spl34_144
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f3820,f945]) ).
fof(f945,plain,
( e1 != op(e2,e4)
| spl34_121 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl34_121
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_121])]) ).
fof(f3820,plain,
( e1 = op(e2,e4)
| ~ spl34_144
| ~ spl34_200 ),
inference(forward_demodulation,[],[f1050,f1329]) ).
fof(f1329,plain,
( e2 = op(e1,e4)
| ~ spl34_200 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1327,plain,
( spl34_200
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_200])]) ).
fof(f1050,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl34_144 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl34_144
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_144])]) ).
fof(f3810,plain,
( ~ spl34_70
| spl34_118
| ~ spl34_200 ),
inference(avatar_contradiction_clause,[],[f3809]) ).
fof(f3809,plain,
( $false
| ~ spl34_70
| spl34_118
| ~ spl34_200 ),
inference(subsumption_resolution,[],[f3808,f1329]) ).
fof(f3808,plain,
( e2 != op(e1,e4)
| ~ spl34_70
| spl34_118 ),
inference(forward_demodulation,[],[f932,f720]) ).
fof(f720,plain,
( e1 = op(e4,e2)
| ~ spl34_70 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl34_70
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).
fof(f932,plain,
( e2 != op(op(e4,e2),e4)
| spl34_118 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl34_118
<=> e2 = op(op(e4,e2),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_118])]) ).
fof(f3781,plain,
( ~ spl34_14
| ~ spl34_101
| ~ spl34_248 ),
inference(avatar_contradiction_clause,[],[f3780]) ).
fof(f3780,plain,
( $false
| ~ spl34_14
| ~ spl34_101
| ~ spl34_248 ),
inference(subsumption_resolution,[],[f3779,f412]) ).
fof(f412,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3779,plain,
( e0 = e3
| ~ spl34_14
| ~ spl34_101
| ~ spl34_248 ),
inference(forward_demodulation,[],[f3775,f857]) ).
fof(f857,plain,
( e0 = op(e2,e1)
| ~ spl34_101 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f855,plain,
( spl34_101
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_101])]) ).
fof(f3775,plain,
( e3 = op(e2,e1)
| ~ spl34_14
| ~ spl34_248 ),
inference(backward_demodulation,[],[f1636,f477]) ).
fof(f1636,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl34_248 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1634,plain,
( spl34_248
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_248])]) ).
fof(f3728,plain,
( ~ spl34_101
| ~ spl34_131
| ~ spl34_247 ),
inference(avatar_contradiction_clause,[],[f3727]) ).
fof(f3727,plain,
( $false
| ~ spl34_101
| ~ spl34_131
| ~ spl34_247 ),
inference(subsumption_resolution,[],[f3726,f411]) ).
fof(f411,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3726,plain,
( e1 = e2
| ~ spl34_101
| ~ spl34_131
| ~ spl34_247 ),
inference(forward_demodulation,[],[f3725,f990]) ).
fof(f3725,plain,
( e2 = op(e0,e1)
| ~ spl34_101
| ~ spl34_247 ),
inference(forward_demodulation,[],[f1626,f857]) ).
fof(f1626,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl34_247 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl34_247
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_247])]) ).
fof(f3704,plain,
( ~ spl34_188
| spl34_75
| ~ spl34_164 ),
inference(avatar_split_clause,[],[f3703,f1140,f740,f1260]) ).
fof(f1260,plain,
( spl34_188
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_188])]) ).
fof(f3703,plain,
( e2 != op(e2,e0)
| spl34_75
| ~ spl34_164 ),
inference(forward_demodulation,[],[f742,f1142]) ).
fof(f742,plain,
( op(e0,e2) != op(e2,e0)
| spl34_75 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f3691,plain,
( ~ spl34_36
| ~ spl34_198
| spl34_201 ),
inference(avatar_contradiction_clause,[],[f3690]) ).
fof(f3690,plain,
( $false
| ~ spl34_36
| ~ spl34_198
| spl34_201 ),
inference(subsumption_resolution,[],[f3689,f1314]) ).
fof(f3689,plain,
( e3 != op(e3,e0)
| ~ spl34_36
| spl34_201 ),
inference(forward_demodulation,[],[f1335,f572]) ).
fof(f1335,plain,
( e3 != op(op(e0,e3),e0)
| spl34_201 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl34_201
<=> e3 = op(op(e0,e3),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_201])]) ).
fof(f3671,plain,
( ~ spl34_215
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f3670,f1327,f1410]) ).
fof(f1410,plain,
( spl34_215
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_215])]) ).
fof(f3670,plain,
( e2 != op(e1,e2)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f246,f1329]) ).
fof(f246,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3660,plain,
( ~ spl34_235
| ~ spl34_200 ),
inference(avatar_split_clause,[],[f3659,f1327,f1534]) ).
fof(f1534,plain,
( spl34_235
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_235])]) ).
fof(f3659,plain,
( e2 != op(e1,e1)
| ~ spl34_200 ),
inference(forward_demodulation,[],[f285,f1329]) ).
fof(f285,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3635,plain,
( ~ spl34_198
| ~ spl34_36
| spl34_55 ),
inference(avatar_split_clause,[],[f3634,f652,f570,f1312]) ).
fof(f652,plain,
( spl34_55
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_55])]) ).
fof(f3634,plain,
( e3 != op(e3,e0)
| ~ spl34_36
| spl34_55 ),
inference(forward_demodulation,[],[f654,f572]) ).
fof(f654,plain,
( op(e0,e3) != op(e3,e0)
| spl34_55 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f3613,plain,
( ~ spl34_68
| ~ spl34_120
| spl34_254 ),
inference(avatar_contradiction_clause,[],[f3612]) ).
fof(f3612,plain,
( $false
| ~ spl34_68
| ~ spl34_120
| spl34_254 ),
inference(subsumption_resolution,[],[f3611,f941]) ).
fof(f941,plain,
( e4 = op(e0,e4)
| ~ spl34_120 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f939,plain,
( spl34_120
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_120])]) ).
fof(f3611,plain,
( e4 != op(e0,e4)
| ~ spl34_68
| spl34_254 ),
inference(forward_demodulation,[],[f1693,f711]) ).
fof(f711,plain,
( e4 = op(e4,e0)
| ~ spl34_68 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl34_68
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_68])]) ).
fof(f1693,plain,
( op(e0,e4) != op(e4,e0)
| spl34_254 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f1691,plain,
( spl34_254
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_254])]) ).
fof(f3607,plain,
( ~ spl34_68
| spl34_90 ),
inference(avatar_contradiction_clause,[],[f3606]) ).
fof(f3606,plain,
( $false
| ~ spl34_68
| spl34_90 ),
inference(subsumption_resolution,[],[f3605,f1166]) ).
fof(f1166,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[],[f400,f401]) ).
fof(f401,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e4 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f400,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f3605,plain,
( e0 != op(e4,e4)
| ~ spl34_68
| spl34_90 ),
inference(forward_demodulation,[],[f806,f711]) ).
fof(f806,plain,
( e0 != op(op(e4,e0),e4)
| spl34_90 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl34_90
<=> e0 = op(op(e4,e0),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_90])]) ).
fof(f3576,plain,
( ~ spl34_191
| ~ spl34_221 ),
inference(avatar_contradiction_clause,[],[f3575]) ).
fof(f3575,plain,
( $false
| ~ spl34_191
| ~ spl34_221 ),
inference(subsumption_resolution,[],[f3574,f406]) ).
fof(f406,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3574,plain,
( e0 = e2
| ~ spl34_191
| ~ spl34_221 ),
inference(forward_demodulation,[],[f3573,f1274]) ).
fof(f1274,plain,
( e0 = op(e2,e0)
| ~ spl34_191 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1272,plain,
( spl34_191
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_191])]) ).
fof(f3573,plain,
( e2 = op(e2,e0)
| ~ spl34_221 ),
inference(forward_demodulation,[],[f347,f1438]) ).
fof(f1438,plain,
( e0 = unit
| ~ spl34_221 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl34_221
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_221])]) ).
fof(f347,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3558,plain,
( spl34_68
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f3557,f1436,f709]) ).
fof(f3557,plain,
( e4 = op(e4,e0)
| ~ spl34_221 ),
inference(forward_demodulation,[],[f339,f1438]) ).
fof(f339,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3527,plain,
( spl34_164
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f3526,f1436,f1140]) ).
fof(f3526,plain,
( e2 = op(e0,e2)
| ~ spl34_221 ),
inference(forward_demodulation,[],[f340,f1438]) ).
fof(f340,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3515,plain,
( ~ spl34_142
| ~ spl34_191 ),
inference(avatar_split_clause,[],[f3471,f1272,f1038]) ).
fof(f1038,plain,
( spl34_142
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_142])]) ).
fof(f3471,plain,
( e0 != op(e1,e0)
| ~ spl34_191 ),
inference(forward_demodulation,[],[f237,f1274]) ).
fof(f237,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3508,plain,
( spl34_198
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f3504,f1436,f1312]) ).
fof(f3504,plain,
( e3 = op(e3,e0)
| ~ spl34_221 ),
inference(backward_demodulation,[],[f343,f1438]) ).
fof(f3479,plain,
( ~ spl34_107
| ~ spl34_121 ),
inference(avatar_contradiction_clause,[],[f3478]) ).
fof(f3478,plain,
( $false
| ~ spl34_107
| ~ spl34_121 ),
inference(subsumption_resolution,[],[f3476,f410]) ).
fof(f3476,plain,
( e1 = e3
| ~ spl34_107
| ~ spl34_121 ),
inference(backward_demodulation,[],[f882,f946]) ).
fof(f946,plain,
( e1 = op(e2,e4)
| ~ spl34_121 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f882,plain,
( e3 = op(e2,e4)
| ~ spl34_107 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl34_107
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_107])]) ).
fof(f3462,plain,
( ~ spl34_107
| ~ spl34_194
| spl34_217 ),
inference(avatar_contradiction_clause,[],[f3461]) ).
fof(f3461,plain,
( $false
| ~ spl34_107
| ~ spl34_194
| spl34_217 ),
inference(subsumption_resolution,[],[f3460,f882]) ).
fof(f3460,plain,
( e3 != op(e2,e4)
| ~ spl34_194
| spl34_217 ),
inference(forward_demodulation,[],[f1421,f1290]) ).
fof(f1421,plain,
( e3 != op(op(e4,e3),e4)
| spl34_217 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f3435,plain,
( ~ spl34_35
| ~ spl34_82
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3434,plain,
( $false
| ~ spl34_35
| ~ spl34_82
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f3433,f407]) ).
fof(f407,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3433,plain,
( e1 = e4
| ~ spl34_35
| ~ spl34_82
| ~ spl34_251 ),
inference(forward_demodulation,[],[f3432,f568]) ).
fof(f568,plain,
( e1 = op(e0,e3)
| ~ spl34_35 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f3432,plain,
( e4 = op(e0,e3)
| ~ spl34_82
| ~ spl34_251 ),
inference(forward_demodulation,[],[f772,f1664]) ).
fof(f1664,plain,
( e3 = op(e4,e0)
| ~ spl34_251 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1662,plain,
( spl34_251
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_251])]) ).
fof(f772,plain,
( e4 = op(e0,op(e4,e0))
| ~ spl34_82 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl34_82
<=> e4 = op(e0,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_82])]) ).
fof(f3397,plain,
( ~ spl34_107
| ~ spl34_152
| ~ spl34_205 ),
inference(avatar_contradiction_clause,[],[f3396]) ).
fof(f3396,plain,
( $false
| ~ spl34_107
| ~ spl34_152
| ~ spl34_205 ),
inference(subsumption_resolution,[],[f3395,f411]) ).
fof(f3395,plain,
( e1 = e2
| ~ spl34_107
| ~ spl34_152
| ~ spl34_205 ),
inference(forward_demodulation,[],[f3394,f1356]) ).
fof(f3394,plain,
( e2 = op(e3,e4)
| ~ spl34_107
| ~ spl34_152 ),
inference(forward_demodulation,[],[f1083,f882]) ).
fof(f1083,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl34_152 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1081,plain,
( spl34_152
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_152])]) ).
fof(f3388,plain,
( spl34_194
| ~ spl34_107
| ~ spl34_163 ),
inference(avatar_split_clause,[],[f3387,f1134,f880,f1288]) ).
fof(f1134,plain,
( spl34_163
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_163])]) ).
fof(f3387,plain,
( e2 = op(e4,e3)
| ~ spl34_107
| ~ spl34_163 ),
inference(forward_demodulation,[],[f1136,f882]) ).
fof(f1136,plain,
( e2 = op(e4,op(e2,e4))
| ~ spl34_163 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f3360,plain,
( ~ spl34_61
| ~ spl34_102
| ~ spl34_209 ),
inference(avatar_contradiction_clause,[],[f3359]) ).
fof(f3359,plain,
( $false
| ~ spl34_61
| ~ spl34_102
| ~ spl34_209 ),
inference(subsumption_resolution,[],[f3358,f406]) ).
fof(f3358,plain,
( e0 = e2
| ~ spl34_61
| ~ spl34_102
| ~ spl34_209 ),
inference(forward_demodulation,[],[f3357,f861]) ).
fof(f861,plain,
( e0 = op(e0,e1)
| ~ spl34_102 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl34_102
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_102])]) ).
fof(f3357,plain,
( e2 = op(e0,e1)
| ~ spl34_61
| ~ spl34_209 ),
inference(forward_demodulation,[],[f1381,f680]) ).
fof(f680,plain,
( e1 = op(e2,e0)
| ~ spl34_61 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f1381,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl34_209 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl34_209
<=> e2 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_209])]) ).
fof(f3339,plain,
( ~ spl34_159
| ~ spl34_246 ),
inference(avatar_contradiction_clause,[],[f3338]) ).
fof(f3338,plain,
( $false
| ~ spl34_159
| ~ spl34_246 ),
inference(subsumption_resolution,[],[f3337,f405]) ).
fof(f3337,plain,
( e2 = e4
| ~ spl34_159
| ~ spl34_246 ),
inference(forward_demodulation,[],[f3336,f1615]) ).
fof(f1615,plain,
( e2 = op(e4,e0)
| ~ spl34_246 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1613,plain,
( spl34_246
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_246])]) ).
fof(f3336,plain,
( e4 = op(e4,e0)
| ~ spl34_159 ),
inference(forward_demodulation,[],[f1115,f1166]) ).
fof(f1115,plain,
( e4 = op(e4,op(e4,e4))
| ~ spl34_159 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl34_159
<=> e4 = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_159])]) ).
fof(f3329,plain,
( ~ spl34_16
| ~ spl34_45
| spl34_127 ),
inference(avatar_contradiction_clause,[],[f3328]) ).
fof(f3328,plain,
( $false
| ~ spl34_16
| ~ spl34_45
| spl34_127 ),
inference(subsumption_resolution,[],[f3327,f611]) ).
fof(f3327,plain,
( e0 != op(e3,e2)
| ~ spl34_16
| spl34_127 ),
inference(forward_demodulation,[],[f972,f485]) ).
fof(f485,plain,
( e2 = op(e3,e0)
| ~ spl34_16 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl34_16
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).
fof(f972,plain,
( e0 != op(e3,op(e3,e0))
| spl34_127 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl34_127
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_127])]) ).
fof(f3249,plain,
( ~ spl34_246
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f3248]) ).
fof(f3248,plain,
( $false
| ~ spl34_246
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f3247,f409]) ).
fof(f3247,plain,
( e2 = e3
| ~ spl34_246
| ~ spl34_251 ),
inference(forward_demodulation,[],[f1664,f1615]) ).
fof(f3224,plain,
( ~ spl34_198
| ~ spl34_213 ),
inference(avatar_contradiction_clause,[],[f3223]) ).
fof(f3223,plain,
( $false
| ~ spl34_198
| ~ spl34_213 ),
inference(subsumption_resolution,[],[f3222,f1402]) ).
fof(f1402,plain,
( op(e0,e0) = e3
| ~ spl34_213 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1400,plain,
( spl34_213
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_213])]) ).
fof(f3222,plain,
( op(e0,e0) != e3
| ~ spl34_198 ),
inference(forward_demodulation,[],[f310,f1314]) ).
fof(f310,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3221,plain,
~ spl34_123,
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3220,plain,
( $false
| ~ spl34_123 ),
inference(subsumption_resolution,[],[f3219,f407]) ).
fof(f3219,plain,
( e1 = e4
| ~ spl34_123 ),
inference(backward_demodulation,[],[f401,f954]) ).
fof(f954,plain,
( e1 = op(e2,e2)
| ~ spl34_123 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f952,plain,
( spl34_123
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_123])]) ).
fof(f3216,plain,
( spl34_110
| ~ spl34_126
| ~ spl34_205 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3215,plain,
( $false
| spl34_110
| ~ spl34_126
| ~ spl34_205 ),
inference(subsumption_resolution,[],[f2986,f893]) ).
fof(f893,plain,
( e3 != op(e1,e4)
| spl34_110 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f2986,plain,
( e3 = op(e1,e4)
| ~ spl34_126
| ~ spl34_205 ),
inference(forward_demodulation,[],[f967,f1356]) ).
fof(f967,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl34_126 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl34_126
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_126])]) ).
fof(f3212,plain,
( spl34_193
| ~ spl34_213
| ~ spl34_214 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3211,plain,
( $false
| spl34_193
| ~ spl34_213
| ~ spl34_214 ),
inference(subsumption_resolution,[],[f3210,f1284]) ).
fof(f1284,plain,
( e3 != e4
| spl34_193 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1283,plain,
( spl34_193
<=> e3 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_193])]) ).
fof(f3210,plain,
( e3 = e4
| ~ spl34_213
| ~ spl34_214 ),
inference(backward_demodulation,[],[f1406,f1402]) ).
fof(f1406,plain,
( op(e0,e0) = e4
| ~ spl34_214 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1404,plain,
( spl34_214
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_214])]) ).
fof(f3207,plain,
( ~ spl34_5
| ~ spl34_192 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3206,plain,
( $false
| ~ spl34_5
| ~ spl34_192 ),
inference(subsumption_resolution,[],[f3205,f413]) ).
fof(f3205,plain,
( e0 = e1
| ~ spl34_5
| ~ spl34_192 ),
inference(forward_demodulation,[],[f3202,f1166]) ).
fof(f3202,plain,
( e1 = op(e4,e4)
| ~ spl34_5
| ~ spl34_192 ),
inference(backward_demodulation,[],[f1279,f439]) ).
fof(f439,plain,
( e4 = op(e1,e4)
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl34_5
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f1279,plain,
( e1 = op(e4,op(e1,e4))
| ~ spl34_192 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl34_192
<=> e1 = op(e4,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_192])]) ).
fof(f3190,plain,
( ~ spl34_143
| ~ spl34_198 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3189,plain,
( $false
| ~ spl34_143
| ~ spl34_198 ),
inference(subsumption_resolution,[],[f3188,f1314]) ).
fof(f3188,plain,
( e3 != op(e3,e0)
| ~ spl34_143 ),
inference(forward_demodulation,[],[f244,f1045]) ).
fof(f1045,plain,
( e3 = op(e3,e1)
| ~ spl34_143 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f244,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3144,plain,
( ~ spl34_212
| ~ spl34_236 ),
inference(avatar_split_clause,[],[f3143,f1543,f1396]) ).
fof(f1396,plain,
( spl34_212
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_212])]) ).
fof(f1543,plain,
( spl34_236
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_236])]) ).
fof(f3143,plain,
( op(e0,e0) != e2
| ~ spl34_236 ),
inference(forward_demodulation,[],[f218,f1545]) ).
fof(f1545,plain,
( e2 = op(e0,e4)
| ~ spl34_236 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f218,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3127,plain,
( spl34_59
| ~ spl34_142
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f3048,f1124,f1038,f670]) ).
fof(f670,plain,
( spl34_59
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_59])]) ).
fof(f1124,plain,
( spl34_161
<=> e1 = op(e0,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_161])]) ).
fof(f3048,plain,
( op(e0,e0) = e1
| ~ spl34_142
| ~ spl34_161 ),
inference(backward_demodulation,[],[f1126,f1040]) ).
fof(f1040,plain,
( e0 = op(e1,e0)
| ~ spl34_142 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1126,plain,
( e1 = op(e0,op(e1,e0))
| ~ spl34_161 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f3103,plain,
( spl34_86
| ~ spl34_219 ),
inference(avatar_split_clause,[],[f3030,f1428,f787]) ).
fof(f787,plain,
( spl34_86
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_86])]) ).
fof(f3030,plain,
( e3 = op(e1,e3)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f344,f1430]) ).
fof(f344,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3093,plain,
( ~ spl34_59
| ~ spl34_61 ),
inference(avatar_split_clause,[],[f3092,f678,f670]) ).
fof(f3092,plain,
( op(e0,e0) != e1
| ~ spl34_61 ),
inference(forward_demodulation,[],[f222,f680]) ).
fof(f222,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3086,plain,
( ~ spl34_223
| ~ spl34_216 ),
inference(avatar_split_clause,[],[f3085,f1414,f1446]) ).
fof(f1446,plain,
( spl34_223
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_223])]) ).
fof(f3085,plain,
( e3 != op(e1,e1)
| ~ spl34_216 ),
inference(forward_demodulation,[],[f270,f1416]) ).
fof(f270,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3063,plain,
( spl34_42
| ~ spl34_157
| ~ spl34_236 ),
inference(avatar_contradiction_clause,[],[f3062]) ).
fof(f3062,plain,
( $false
| spl34_42
| ~ spl34_157
| ~ spl34_236 ),
inference(subsumption_resolution,[],[f3058,f598]) ).
fof(f598,plain,
( e0 != op(e4,e2)
| spl34_42 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl34_42
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_42])]) ).
fof(f3058,plain,
( e0 = op(e4,e2)
| ~ spl34_157
| ~ spl34_236 ),
inference(backward_demodulation,[],[f1108,f1545]) ).
fof(f1108,plain,
( e0 = op(e4,op(e0,e4))
| ~ spl34_157 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1106,plain,
( spl34_157
<=> e0 = op(e4,op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_157])]) ).
fof(f3041,plain,
( spl34_142
| ~ spl34_219 ),
inference(avatar_split_clause,[],[f3040,f1428,f1038]) ).
fof(f3040,plain,
( e0 = op(e1,e0)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f345,f1430]) ).
fof(f345,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f3013,plain,
( ~ spl34_234
| ~ spl34_169 ),
inference(avatar_split_clause,[],[f3010,f1162,f1530]) ).
fof(f1162,plain,
( spl34_169
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_169])]) ).
fof(f3010,plain,
( e2 != op(e4,e1)
| ~ spl34_169 ),
inference(backward_demodulation,[],[f229,f1164]) ).
fof(f1164,plain,
( e2 = op(e2,e1)
| ~ spl34_169 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f229,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2985,plain,
( spl34_67
| ~ spl34_219 ),
inference(avatar_contradiction_clause,[],[f2984]) ).
fof(f2984,plain,
( $false
| spl34_67
| ~ spl34_219 ),
inference(subsumption_resolution,[],[f2983,f706]) ).
fof(f706,plain,
( e4 != op(e4,e1)
| spl34_67 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl34_67
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_67])]) ).
fof(f2983,plain,
( e4 = op(e4,e1)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f339,f1430]) ).
fof(f2965,plain,
( ~ spl34_26
| ~ spl34_61 ),
inference(avatar_split_clause,[],[f2964,f678,f528]) ).
fof(f2964,plain,
( e1 != op(e1,e0)
| ~ spl34_61 ),
inference(backward_demodulation,[],[f237,f680]) ).
fof(f2957,plain,
( spl34_169
| ~ spl34_219 ),
inference(avatar_split_clause,[],[f2956,f1428,f1162]) ).
fof(f2956,plain,
( e2 = op(e2,e1)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f347,f1430]) ).
fof(f2940,plain,
( spl34_102
| ~ spl34_219 ),
inference(avatar_contradiction_clause,[],[f2939]) ).
fof(f2939,plain,
( $false
| spl34_102
| ~ spl34_219 ),
inference(subsumption_resolution,[],[f2938,f860]) ).
fof(f860,plain,
( e0 != op(e0,e1)
| spl34_102 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f2938,plain,
( e0 = op(e0,e1)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f342,f1430]) ).
fof(f342,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2925,plain,
( spl34_215
| ~ spl34_219 ),
inference(avatar_split_clause,[],[f2920,f1428,f1410]) ).
fof(f2920,plain,
( e2 = op(e1,e2)
| ~ spl34_219 ),
inference(backward_demodulation,[],[f340,f1430]) ).
fof(f2901,plain,
( ~ spl34_67
| ~ spl34_68 ),
inference(avatar_split_clause,[],[f2900,f709,f705]) ).
fof(f2900,plain,
( e4 != op(e4,e1)
| ~ spl34_68 ),
inference(forward_demodulation,[],[f214,f711]) ).
fof(f214,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2893,plain,
( ~ spl34_236
| ~ spl34_164 ),
inference(avatar_split_clause,[],[f2892,f1140,f1543]) ).
fof(f2892,plain,
( e2 != op(e0,e4)
| ~ spl34_164 ),
inference(forward_demodulation,[],[f269,f1142]) ).
fof(f269,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2885,plain,
( ~ spl34_194
| ~ spl34_15 ),
inference(avatar_split_clause,[],[f2884,f479,f1288]) ).
fof(f479,plain,
( spl34_15
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f2884,plain,
( e2 != op(e4,e3)
| ~ spl34_15 ),
inference(forward_demodulation,[],[f307,f481]) ).
fof(f481,plain,
( e2 = op(e3,e3)
| ~ spl34_15 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f307,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2831,plain,
( ~ spl34_124
| ~ spl34_131 ),
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2830,plain,
( $false
| ~ spl34_124
| ~ spl34_131 ),
inference(subsumption_resolution,[],[f2650,f990]) ).
fof(f2650,plain,
( e1 != op(e0,e1)
| ~ spl34_124 ),
inference(forward_demodulation,[],[f215,f958]) ).
fof(f958,plain,
( e1 = op(e2,e1)
| ~ spl34_124 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl34_124
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_124])]) ).
fof(f215,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2807,plain,
( ~ spl34_164
| ~ spl34_215 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| ~ spl34_164
| ~ spl34_215 ),
inference(subsumption_resolution,[],[f2805,f1142]) ).
fof(f2805,plain,
( e2 != op(e0,e2)
| ~ spl34_215 ),
inference(forward_demodulation,[],[f281,f1412]) ).
fof(f1412,plain,
( e2 = op(e1,e2)
| ~ spl34_215 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f281,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2770,plain,
( ~ spl34_35
| ~ spl34_221 ),
inference(avatar_contradiction_clause,[],[f2769]) ).
fof(f2769,plain,
( $false
| ~ spl34_35
| ~ spl34_221 ),
inference(subsumption_resolution,[],[f2768,f410]) ).
fof(f2768,plain,
( e1 = e3
| ~ spl34_35
| ~ spl34_221 ),
inference(forward_demodulation,[],[f2755,f568]) ).
fof(f2755,plain,
( e3 = op(e0,e3)
| ~ spl34_221 ),
inference(backward_demodulation,[],[f344,f1438]) ).
fof(f2767,plain,
( spl34_131
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f2758,f1436,f988]) ).
fof(f2758,plain,
( e1 = op(e0,e1)
| ~ spl34_221 ),
inference(backward_demodulation,[],[f349,f1438]) ).
fof(f349,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2740,plain,
( ~ spl34_164
| ~ spl34_166 ),
inference(avatar_contradiction_clause,[],[f2739]) ).
fof(f2739,plain,
( $false
| ~ spl34_164
| ~ spl34_166 ),
inference(subsumption_resolution,[],[f2738,f409]) ).
fof(f2738,plain,
( e2 = e3
| ~ spl34_164
| ~ spl34_166 ),
inference(backward_demodulation,[],[f1150,f1142]) ).
fof(f1150,plain,
( e3 = op(e0,e2)
| ~ spl34_166 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl34_166
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_166])]) ).
fof(f2691,plain,
~ spl34_222,
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| ~ spl34_222 ),
inference(subsumption_resolution,[],[f2689,f408]) ).
fof(f408,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2689,plain,
( e0 = e4
| ~ spl34_222 ),
inference(forward_demodulation,[],[f2688,f1166]) ).
fof(f2688,plain,
( e4 = op(e4,e4)
| ~ spl34_222 ),
inference(forward_demodulation,[],[f348,f1442]) ).
fof(f1442,plain,
( e4 = unit
| ~ spl34_222 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1440,plain,
( spl34_222
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_222])]) ).
fof(f348,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2574,plain,
( ~ spl34_169
| ~ spl34_188 ),
inference(avatar_split_clause,[],[f2573,f1260,f1162]) ).
fof(f2573,plain,
( e2 != op(e2,e1)
| ~ spl34_188 ),
inference(forward_demodulation,[],[f223,f1262]) ).
fof(f1262,plain,
( e2 = op(e2,e0)
| ~ spl34_188 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f223,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2572,plain,
( ~ spl34_65
| ~ spl34_68 ),
inference(avatar_split_clause,[],[f2571,f709,f697]) ).
fof(f697,plain,
( spl34_65
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_65])]) ).
fof(f2571,plain,
( e4 != op(e4,e3)
| ~ spl34_68 ),
inference(forward_demodulation,[],[f297,f711]) ).
fof(f297,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2550,plain,
( ~ spl34_122
| ~ spl34_139 ),
inference(avatar_contradiction_clause,[],[f2549]) ).
fof(f2549,plain,
( $false
| ~ spl34_122
| ~ spl34_139 ),
inference(subsumption_resolution,[],[f2548,f413]) ).
fof(f2548,plain,
( e0 = e1
| ~ spl34_122
| ~ spl34_139 ),
inference(backward_demodulation,[],[f950,f1027]) ).
fof(f2448,plain,
( ~ spl34_86
| ~ spl34_140 ),
inference(avatar_split_clause,[],[f2445,f1030,f787]) ).
fof(f1030,plain,
( spl34_140
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_140])]) ).
fof(f2445,plain,
( e3 != op(e1,e3)
| ~ spl34_140 ),
inference(backward_demodulation,[],[f252,f1032]) ).
fof(f1032,plain,
( e3 = op(e1,e0)
| ~ spl34_140 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f252,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2440,plain,
( ~ spl34_30
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f2329,f1354,f544]) ).
fof(f544,plain,
( spl34_30
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_30])]) ).
fof(f2329,plain,
( e1 != op(e1,e4)
| ~ spl34_205 ),
inference(forward_demodulation,[],[f243,f1356]) ).
fof(f243,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2437,plain,
( ~ spl34_33
| ~ spl34_221 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2436,plain,
( $false
| ~ spl34_33
| ~ spl34_221 ),
inference(subsumption_resolution,[],[f2435,f412]) ).
fof(f2435,plain,
( e0 = e3
| ~ spl34_33
| ~ spl34_221 ),
inference(forward_demodulation,[],[f2429,f560]) ).
fof(f560,plain,
( e0 = op(e0,e3)
| ~ spl34_33 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl34_33
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_33])]) ).
fof(f2429,plain,
( e3 = op(e0,e3)
| ~ spl34_221 ),
inference(backward_demodulation,[],[f344,f1438]) ).
fof(f2434,plain,
( spl34_26
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f2428,f1436,f528]) ).
fof(f2428,plain,
( e1 = op(e1,e0)
| ~ spl34_221 ),
inference(backward_demodulation,[],[f341,f1438]) ).
fof(f341,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2425,plain,
( ~ spl34_26
| ~ spl34_27 ),
inference(avatar_split_clause,[],[f2424,f532,f528]) ).
fof(f532,plain,
( spl34_27
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_27])]) ).
fof(f2424,plain,
( e1 != op(e1,e0)
| ~ spl34_27 ),
inference(forward_demodulation,[],[f265,f534]) ).
fof(f534,plain,
( e1 = op(e1,e2)
| ~ spl34_27 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f265,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2409,plain,
( ~ spl34_96
| ~ spl34_122 ),
inference(avatar_split_clause,[],[f2408,f948,f831]) ).
fof(f2408,plain,
( e1 != op(e4,e3)
| ~ spl34_122 ),
inference(forward_demodulation,[],[f290,f950]) ).
fof(f290,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2405,plain,
( ~ spl34_215
| ~ spl34_72 ),
inference(avatar_split_clause,[],[f2127,f726,f1410]) ).
fof(f726,plain,
( spl34_72
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_72])]) ).
fof(f2127,plain,
( e2 != op(e1,e2)
| ~ spl34_72 ),
inference(forward_demodulation,[],[f313,f728]) ).
fof(f728,plain,
( e2 = op(e4,e2)
| ~ spl34_72 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f313,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2377,plain,
( ~ spl34_205
| ~ spl34_220 ),
inference(avatar_contradiction_clause,[],[f2376]) ).
fof(f2376,plain,
( $false
| ~ spl34_205
| ~ spl34_220 ),
inference(subsumption_resolution,[],[f2375,f407]) ).
fof(f2375,plain,
( e1 = e4
| ~ spl34_205
| ~ spl34_220 ),
inference(forward_demodulation,[],[f2374,f1356]) ).
fof(f2374,plain,
( e4 = op(e3,e4)
| ~ spl34_220 ),
inference(forward_demodulation,[],[f348,f1434]) ).
fof(f1434,plain,
( e3 = unit
| ~ spl34_220 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1432,plain,
( spl34_220
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_220])]) ).
fof(f2327,plain,
( ~ spl34_131
| ~ spl34_180 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2326,plain,
( $false
| ~ spl34_131
| ~ spl34_180 ),
inference(subsumption_resolution,[],[f2325,f411]) ).
fof(f2325,plain,
( e1 = e2
| ~ spl34_131
| ~ spl34_180 ),
inference(forward_demodulation,[],[f1224,f990]) ).
fof(f1224,plain,
( e2 = op(e0,e1)
| ~ spl34_180 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1222,plain,
( spl34_180
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_180])]) ).
fof(f2321,plain,
( ~ spl34_206
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f2320,f1354,f1362]) ).
fof(f1362,plain,
( spl34_206
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_206])]) ).
fof(f2320,plain,
( e1 != op(e3,e3)
| ~ spl34_205 ),
inference(forward_demodulation,[],[f311,f1356]) ).
fof(f311,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2293,plain,
( ~ spl34_107
| ~ spl34_178 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2292,plain,
( $false
| ~ spl34_107
| ~ spl34_178 ),
inference(subsumption_resolution,[],[f2291,f409]) ).
fof(f2291,plain,
( e2 = e3
| ~ spl34_107
| ~ spl34_178 ),
inference(backward_demodulation,[],[f882,f1212]) ).
fof(f1212,plain,
( e2 = op(e2,e4)
| ~ spl34_178 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1210,plain,
( spl34_178
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_178])]) ).
fof(f2251,plain,
( ~ spl34_189
| ~ spl34_107 ),
inference(avatar_split_clause,[],[f2250,f880,f1264]) ).
fof(f1264,plain,
( spl34_189
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_189])]) ).
fof(f2250,plain,
( e3 != op(e2,e0)
| ~ spl34_107 ),
inference(forward_demodulation,[],[f286,f882]) ).
fof(f286,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2243,plain,
( ~ spl34_61
| ~ spl34_122 ),
inference(avatar_split_clause,[],[f2241,f948,f678]) ).
fof(f2241,plain,
( e1 != op(e2,e0)
| ~ spl34_122 ),
inference(backward_demodulation,[],[f289,f950]) ).
fof(f289,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2215,plain,
( ~ spl34_185
| ~ spl34_205 ),
inference(avatar_contradiction_clause,[],[f2214]) ).
fof(f2214,plain,
( $false
| ~ spl34_185
| ~ spl34_205 ),
inference(subsumption_resolution,[],[f2213,f1248]) ).
fof(f1248,plain,
( e1 = op(e3,e2)
| ~ spl34_185 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1246,plain,
( spl34_185
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_185])]) ).
fof(f2213,plain,
( e1 != op(e3,e2)
| ~ spl34_205 ),
inference(forward_demodulation,[],[f219,f1356]) ).
fof(f219,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2206,plain,
( ~ spl34_16
| ~ spl34_196 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2205,plain,
( $false
| ~ spl34_16
| ~ spl34_196 ),
inference(subsumption_resolution,[],[f2203,f406]) ).
fof(f2203,plain,
( e0 = e2
| ~ spl34_16
| ~ spl34_196 ),
inference(backward_demodulation,[],[f485,f1301]) ).
fof(f1301,plain,
( e0 = op(e3,e0)
| ~ spl34_196 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl34_196
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_196])]) ).
fof(f2115,plain,
( ~ spl34_4
| ~ spl34_5 ),
inference(avatar_split_clause,[],[f2114,f437,f433]) ).
fof(f433,plain,
( spl34_4
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f2114,plain,
( e4 != op(e1,e0)
| ~ spl34_5 ),
inference(backward_demodulation,[],[f220,f439]) ).
fof(f220,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2085,plain,
( ~ spl34_168
| ~ spl34_107 ),
inference(avatar_split_clause,[],[f2084,f880,f1158]) ).
fof(f1158,plain,
( spl34_168
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_168])]) ).
fof(f2084,plain,
( e3 != op(e2,e1)
| ~ spl34_107 ),
inference(forward_demodulation,[],[f260,f882]) ).
fof(f260,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2080,plain,
( ~ spl34_29
| ~ spl34_219 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl34_29
| ~ spl34_219 ),
inference(subsumption_resolution,[],[f2078,f410]) ).
fof(f2078,plain,
( e1 = e3
| ~ spl34_29
| ~ spl34_219 ),
inference(forward_demodulation,[],[f2077,f542]) ).
fof(f542,plain,
( e1 = op(e1,e3)
| ~ spl34_29 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl34_29
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).
fof(f2077,plain,
( e3 = op(e1,e3)
| ~ spl34_219 ),
inference(forward_demodulation,[],[f344,f1430]) ).
fof(f2072,plain,
( ~ spl34_101
| ~ spl34_102 ),
inference(avatar_split_clause,[],[f2071,f859,f855]) ).
fof(f2071,plain,
( e0 != op(e2,e1)
| ~ spl34_102 ),
inference(forward_demodulation,[],[f215,f861]) ).
fof(f2048,plain,
( ~ spl34_103
| ~ spl34_143 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2047,plain,
( $false
| ~ spl34_103
| ~ spl34_143 ),
inference(subsumption_resolution,[],[f2046,f412]) ).
fof(f2046,plain,
( e0 = e3
| ~ spl34_103
| ~ spl34_143 ),
inference(backward_demodulation,[],[f1045,f865]) ).
fof(f865,plain,
( e0 = op(e3,e1)
| ~ spl34_103 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl34_103
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_103])]) ).
fof(f2043,plain,
( ~ spl34_204
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f2042,f1354,f1350]) ).
fof(f1350,plain,
( spl34_204
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_204])]) ).
fof(f2042,plain,
( e1 != op(e0,e4)
| ~ spl34_205 ),
inference(forward_demodulation,[],[f291,f1356]) ).
fof(f291,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2005,plain,
( ~ spl34_224
| ~ spl34_143 ),
inference(avatar_split_clause,[],[f2004,f1043,f1450]) ).
fof(f2004,plain,
( e3 != op(e4,e1)
| ~ spl34_143 ),
inference(forward_demodulation,[],[f303,f1045]) ).
fof(f303,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1996,plain,
( ~ spl34_88
| ~ spl34_143 ),
inference(avatar_split_clause,[],[f1992,f1043,f795]) ).
fof(f795,plain,
( spl34_88
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_88])]) ).
fof(f1992,plain,
( e3 != op(e3,e3)
| ~ spl34_143 ),
inference(backward_demodulation,[],[f259,f1045]) ).
fof(f259,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1988,plain,
( ~ spl34_13
| ~ spl34_205 ),
inference(avatar_contradiction_clause,[],[f1987]) ).
fof(f1987,plain,
( $false
| ~ spl34_13
| ~ spl34_205 ),
inference(subsumption_resolution,[],[f1986,f411]) ).
fof(f1986,plain,
( e1 = e2
| ~ spl34_13
| ~ spl34_205 ),
inference(backward_demodulation,[],[f473,f1356]) ).
fof(f473,plain,
( e2 = op(e3,e4)
| ~ spl34_13 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl34_13
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f1976,plain,
( ~ spl34_141
| ~ spl34_142 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
fof(f1975,plain,
( $false
| ~ spl34_141
| ~ spl34_142 ),
inference(subsumption_resolution,[],[f1974,f406]) ).
fof(f1974,plain,
( e0 = e2
| ~ spl34_141
| ~ spl34_142 ),
inference(backward_demodulation,[],[f1036,f1040]) ).
fof(f1036,plain,
( e2 = op(e1,e0)
| ~ spl34_141 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1034,plain,
( spl34_141
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_141])]) ).
fof(f1950,plain,
( ~ spl34_46
| ~ spl34_45 ),
inference(avatar_split_clause,[],[f1946,f609,f613]) ).
fof(f613,plain,
( spl34_46
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).
fof(f1946,plain,
( e0 != op(e1,e2)
| ~ spl34_45 ),
inference(backward_demodulation,[],[f242,f611]) ).
fof(f242,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1949,plain,
( ~ spl34_243
| ~ spl34_45 ),
inference(avatar_split_clause,[],[f1947,f609,f1582]) ).
fof(f1947,plain,
( e0 != op(e3,e3)
| ~ spl34_45 ),
inference(backward_demodulation,[],[f292,f611]) ).
fof(f292,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1942,plain,
( spl34_205
| ~ spl34_107 ),
inference(avatar_split_clause,[],[f1940,f880,f1354]) ).
fof(f1940,plain,
( e1 = op(e3,e4)
| ~ spl34_107 ),
inference(backward_demodulation,[],[f1630,f882]) ).
fof(f1630,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[],[f402,f401]) ).
fof(f402,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f1941,plain,
( ~ spl34_110
| ~ spl34_107 ),
inference(avatar_split_clause,[],[f1938,f880,f892]) ).
fof(f1938,plain,
( e3 != op(e1,e4)
| ~ spl34_107 ),
inference(backward_demodulation,[],[f217,f882]) ).
fof(f217,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1867,plain,
~ spl34_218,
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1866,plain,
( $false
| ~ spl34_218 ),
inference(subsumption_resolution,[],[f1865,f405]) ).
fof(f1865,plain,
( e2 = e4
| ~ spl34_218 ),
inference(backward_demodulation,[],[f401,f1858]) ).
fof(f1858,plain,
( e2 = op(e2,e2)
| ~ spl34_218 ),
inference(backward_demodulation,[],[f347,f1426]) ).
fof(f1426,plain,
( e2 = unit
| ~ spl34_218 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1424,plain,
( spl34_218
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_218])]) ).
fof(f1742,plain,
( ~ spl34_107
| ~ spl34_109 ),
inference(avatar_split_clause,[],[f1734,f888,f880]) ).
fof(f888,plain,
( spl34_109
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_109])]) ).
fof(f1734,plain,
( e3 != op(e2,e4)
| ~ spl34_109 ),
inference(backward_demodulation,[],[f228,f890]) ).
fof(f890,plain,
( e3 = op(e0,e4)
| ~ spl34_109 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f228,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1716,plain,
( spl34_198
| spl34_251
| spl34_213
| spl34_140
| spl34_189 ),
inference(avatar_split_clause,[],[f359,f1264,f1030,f1400,f1662,f1312]) ).
fof(f359,plain,
( e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e1)
| e0 = op(e3,e2) )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e1)
| e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e3)
| e2 = op(e4,e1) )
& ( e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e1,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e2) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e4)
| e3 = op(e0,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2) )
& ( e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0)
| e4 = op(e4,e3)
| e4 = op(e4,e4) )
& ( e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| e0 = op(e4,e3)
| e0 = op(e4,e4) )
& ( e1 = op(e1,e4)
| e1 = op(e2,e4)
| e1 = op(e0,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4) )
& ( e4 = op(e4,e0)
| op(e0,e0) = e4
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) )
& ( e1 = op(e3,e1)
| e1 = op(e4,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1) )
& ( e1 = op(e2,e2)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| e1 = op(e2,e3) )
& ( e4 = op(e0,e2)
| e4 = op(e0,e4)
| e4 = op(e0,e3)
| op(e0,e0) = e4
| e4 = op(e0,e1) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e4)
| e0 = op(e2,e0)
| e0 = op(e2,e1) )
& ( e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e1) )
& ( e1 = op(e3,e0)
| e1 = op(e4,e0)
| op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0) )
& ( e2 = op(e3,e0)
| op(e0,e0) = e2
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e4)
| e2 = op(e0,e3)
| op(e0,e0) = e2 )
& ( e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e3 = op(e4,e4) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e4) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1) )
& ( e3 = op(e0,e1)
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1) )
& ( e4 = op(e4,e4)
| e4 = op(e0,e4)
| e4 = op(e1,e4)
| e4 = op(e2,e4)
| e4 = op(e3,e4) )
& ( e3 = op(e2,e3)
| e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| e3 = op(e1,e3) )
& ( e4 = op(e2,e0)
| e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e3)
| e4 = op(e2,e1) )
& ( e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e2)
| e4 = op(e1,e4) )
& ( e2 = op(e3,e4)
| e2 = op(e0,e4)
| e2 = op(e1,e4)
| e2 = op(e2,e4)
| e2 = op(e4,e4) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2) )
& ( e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e0) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e4) )
& ( e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0) )
& ( e4 = op(e3,e0)
| e4 = op(e3,e4)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3) )
& ( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e3,e3) )
& ( e4 = op(e0,e3)
| e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e0,e3)
| op(e0,e0) = e1
| e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e1) )
& ( e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e4)
| e1 = op(e4,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e0,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1714,plain,
( spl34_196
| spl34_243
| spl34_103
| spl34_45 ),
inference(avatar_split_clause,[],[f1713,f609,f863,f1582,f1299]) ).
fof(f1713,plain,
( e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e0) ),
inference(subsumption_resolution,[],[f399,f1168]) ).
fof(f1168,plain,
e0 != op(e3,e4),
inference(backward_demodulation,[],[f272,f1166]) ).
fof(f272,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f399,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1702,plain,
( spl34_47
| spl34_4
| spl34_68
| spl34_214
| spl34_190 ),
inference(avatar_split_clause,[],[f387,f1268,f1404,f709,f433,f618]) ).
fof(f1268,plain,
( spl34_190
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_190])]) ).
fof(f387,plain,
( e4 = op(e2,e0)
| op(e0,e0) = e4
| e4 = op(e4,e0)
| e4 = op(e1,e0)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1697,plain,
( spl34_72
| spl34_234
| spl34_194
| spl34_246 ),
inference(avatar_split_clause,[],[f1696,f1613,f1288,f1530,f726]) ).
fof(f1696,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2) ),
inference(subsumption_resolution,[],[f1695,f406]) ).
fof(f1695,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e0 = e2 ),
inference(forward_demodulation,[],[f396,f1166]) ).
fof(f396,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1694,plain,
( ~ spl34_254
| ~ spl34_21 ),
inference(avatar_split_clause,[],[f149,f505,f1691]) ).
fof(f505,plain,
( spl34_21
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_21])]) ).
fof(f149,plain,
( ~ sP9
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( op(e0,e4) != op(e4,e0)
& e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( op(e0,e4) != op(e4,e0)
& e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1686,plain,
( spl34_161
| spl34_82
| spl34_85
| spl34_63
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f180,f970,f688,f782,f770,f1124]) ).
fof(f782,plain,
( spl34_85
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_85])]) ).
fof(f688,plain,
( spl34_63
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_63])]) ).
fof(f180,plain,
( e0 != op(e3,op(e3,e0))
| sP3
| sP2
| e4 = op(e0,op(e4,e0))
| e1 = op(e0,op(e1,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| sP33
| sP32 )
& ( ( 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(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| sP31
| sP30 )
& ( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| sP5
| sP4 )
& ( ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| sP3
| sP2 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| 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,
( ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( op(e1,e4) != op(e4,e1)
& e1 = op(op(e1,e4),e4)
& e4 != op(op(e1,e4),e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
( ( op(e0,e0) != op(e0,e0)
& e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( op(e1,e3) != op(e3,e1)
& e3 = op(op(e3,e1),e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e3 = op(op(e3,e0),e0)
& e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2)
& e4 = op(op(e4,e2),e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f9,plain,
( ( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,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(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) ) )
& ( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3) )
| ( e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2)
& e4 = op(op(e4,e2),e2) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e0),e0)
& e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0) )
| ( op(e1,e3) != op(e3,e1)
& e3 = op(op(e3,e1),e1)
& e1 != op(op(e3,e1),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( op(e0,e0) != op(e0,e0)
& e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e1 = op(op(e1,e4),e4)
& e4 != op(op(e1,e4),e1) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) ) )
& ( ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,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(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) ) )
& ( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3) )
| ( e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2)
& e4 = op(op(e4,e2),e2) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e0),e0)
& e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0) )
| ( op(e1,e3) != op(e3,e1)
& e3 = op(op(e3,e1),e1)
& e1 != op(op(e3,e1),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( op(e0,e0) != op(e0,e0)
& e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e1 = op(op(e1,e4),e4)
& e4 != op(op(e1,e4),e1) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) ) )
& ( ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 != op(e4,op(e4,e2))
& e4 = op(e2,op(e4,e2)) )
| ( e2 != op(e2,op(e2,e2))
& e2 = op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,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(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) ) )
& ( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3) )
| ( e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2)
& e4 = op(op(e4,e2),e2) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e0),e0)
& e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0) )
| ( op(e1,e3) != op(e3,e1)
& e3 = op(op(e3,e1),e1)
& e1 != op(op(e3,e1),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( op(e0,e0) != op(e0,e0)
& e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e1 = op(op(e1,e4),e4)
& e4 != op(op(e1,e4),e1) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) ) )
& ( ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e0,op(e3,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e3 != op(e2,op(e2,e3))
& e2 = op(e3,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1653,plain,
( spl34_15
| spl34_50
| spl34_206
| spl34_88
| spl34_243 ),
inference(avatar_split_clause,[],[f331,f1582,f795,f1362,f630,f479]) ).
fof(f331,plain,
( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e4 = op(e3,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e1 = op(e0,e4)
| e2 = op(e0,e4)
| e0 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4) )
& ( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3) )
& ( e1 = op(e0,e1)
| e3 = op(e0,e1)
| e4 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e1 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e0 = op(e4,e0)
| e4 = op(e4,e0) )
& ( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e4 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e0 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4)
| e4 = op(e3,e4)
| e2 = op(e3,e4) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e4 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e4 = op(e1,e4)
| e0 = op(e1,e4)
| e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4) )
& ( e1 = op(e4,e1)
| e0 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1) )
& ( e2 = op(e1,e2)
| e1 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| e2 = op(e4,e2) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4)
| e4 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e1 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1) )
& ( e0 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3) )
& ( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e0 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e4 = op(e1,e0) )
& ( op(e0,e0) = e2
| e0 = op(e0,e0)
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e0,e0) = e3 )
& ( e2 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2)
| e4 = op(e3,e2) )
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3)
| e2 = op(e4,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1650,plain,
~ spl34_25,
inference(avatar_split_clause,[],[f414,f523]) ).
fof(f523,plain,
( spl34_25
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_25])]) ).
fof(f414,plain,
~ sP10,
inference(trivial_inequality_removal,[],[f146]) ).
fof(f146,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( op(e0,e0) != op(e0,e0)
& e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1637,plain,
( spl34_248
| ~ spl34_74 ),
inference(avatar_split_clause,[],[f136,f735,f1634]) ).
fof(f735,plain,
( spl34_74
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_74])]) ).
fof(f136,plain,
( ~ sP13
| e3 = op(op(e3,e1),e1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( op(e1,e3) != op(e3,e1)
& e3 = op(op(e3,e1),e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1632,plain,
~ spl34_145,
inference(avatar_split_clause,[],[f415,f1053]) ).
fof(f1053,plain,
( spl34_145
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_145])]) ).
fof(f415,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
( ~ sP17
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1627,plain,
( ~ spl34_151
| spl34_247 ),
inference(avatar_split_clause,[],[f101,f1624,f1077]) ).
fof(f1077,plain,
( spl34_151
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_151])]) ).
fof(f101,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1621,plain,
( spl34_165
| spl34_185
| spl34_70
| spl34_27 ),
inference(avatar_split_clause,[],[f1620,f532,f718,f1246,f1144]) ).
fof(f1620,plain,
( e1 = op(e1,e2)
| e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1619,f407]) ).
fof(f1619,plain,
( e1 = e4
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) ),
inference(forward_demodulation,[],[f363,f401]) ).
fof(f363,plain,
( e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1618,plain,
( spl34_204
| spl34_236
| spl34_109
| spl34_120
| spl34_170 ),
inference(avatar_split_clause,[],[f337,f1171,f939,f888,f1543,f1350]) ).
fof(f1171,plain,
( spl34_170
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_170])]) ).
fof(f337,plain,
( e0 = op(e0,e4)
| e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1616,plain,
( spl34_188
| spl34_246
| spl34_141
| spl34_16
| spl34_212 ),
inference(avatar_split_clause,[],[f379,f1396,f483,f1034,f1613,f1260]) ).
fof(f379,plain,
( op(e0,e0) = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1611,plain,
( spl34_96
| spl34_194
| spl34_89
| spl34_242
| spl34_65 ),
inference(avatar_split_clause,[],[f314,f697,f1578,f799,f1288,f831]) ).
fof(f1578,plain,
( spl34_242
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_242])]) ).
fof(f314,plain,
( e4 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1607,plain,
~ spl34_170,
inference(avatar_split_clause,[],[f1606,f1171]) ).
fof(f1606,plain,
e0 != op(e0,e4),
inference(forward_demodulation,[],[f241,f1166]) ).
fof(f241,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1591,plain,
~ spl34_190,
inference(avatar_split_clause,[],[f1590,f1268]) ).
fof(f1590,plain,
e4 != op(e2,e0),
inference(forward_demodulation,[],[f257,f401]) ).
fof(f257,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1589,plain,
~ spl34_242,
inference(avatar_split_clause,[],[f1588,f1578]) ).
fof(f1588,plain,
e0 != op(e4,e3),
inference(forward_demodulation,[],[f240,f1166]) ).
fof(f240,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1585,plain,
( spl34_139
| spl34_242
| spl34_183
| spl34_33
| spl34_243 ),
inference(avatar_split_clause,[],[f395,f1582,f558,f1237,f1578,f1025]) ).
fof(f395,plain,
( e0 = op(e3,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e4,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1546,plain,
( spl34_200
| spl34_178
| spl34_236
| spl34_13 ),
inference(avatar_split_clause,[],[f1541,f471,f1543,f1210,f1327]) ).
fof(f1541,plain,
( e2 = op(e3,e4)
| e2 = op(e0,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4) ),
inference(subsumption_resolution,[],[f1540,f406]) ).
fof(f1540,plain,
( e0 = e2
| e2 = op(e1,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f365,f1166]) ).
fof(f365,plain,
( e2 = op(e1,e4)
| e2 = op(e2,e4)
| e2 = op(e3,e4)
| e2 = op(e0,e4)
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1537,plain,
( spl34_14
| spl34_169
| spl34_234
| spl34_235
| spl34_180 ),
inference(avatar_split_clause,[],[f370,f1222,f1534,f1530,f1162,f475]) ).
fof(f370,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1526,plain,
~ spl34_148,
inference(avatar_split_clause,[],[f416,f1065]) ).
fof(f1065,plain,
( spl34_148
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_148])]) ).
fof(f416,plain,
~ sP26,
inference(trivial_inequality_removal,[],[f98]) ).
fof(f98,plain,
( ~ sP26
| op(e3,e3) != op(e3,e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1525,plain,
~ spl34_6,
inference(avatar_split_clause,[],[f1524,f441]) ).
fof(f441,plain,
( spl34_6
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f1524,plain,
e4 != op(e1,e2),
inference(forward_demodulation,[],[f232,f401]) ).
fof(f232,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1523,plain,
~ spl34_99,
inference(avatar_split_clause,[],[f417,f845]) ).
fof(f845,plain,
( spl34_99
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_99])]) ).
fof(f417,plain,
~ sP15,
inference(trivial_inequality_removal,[],[f129]) ).
fof(f129,plain,
( op(e4,e4) != op(e4,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1510,plain,
( ~ spl34_111
| ~ spl34_231 ),
inference(avatar_split_clause,[],[f90,f1507,f897]) ).
fof(f897,plain,
( spl34_111
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_111])]) ).
fof(f90,plain,
( e3 != op(op(e2,e3),e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1500,plain,
( ~ spl34_230
| ~ spl34_146 ),
inference(avatar_split_clause,[],[f153,f1057,f1497]) ).
fof(f1057,plain,
( spl34_146
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_146])]) ).
fof(f153,plain,
( ~ sP7
| e1 != op(op(e0,e1),e0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1489,plain,
( ~ spl34_158
| spl34_228 ),
inference(avatar_split_clause,[],[f159,f1486,f1110]) ).
fof(f1110,plain,
( spl34_158
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_158])]) ).
fof(f159,plain,
( e3 = op(e4,op(e3,e4))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1482,plain,
( spl34_181
| spl34_166
| spl34_109
| spl34_213
| spl34_36 ),
inference(avatar_split_clause,[],[f392,f570,f1400,f888,f1148,f1226]) ).
fof(f392,plain,
( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e4)
| e3 = op(e0,e2)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1481,plain,
~ spl34_225,
inference(avatar_split_clause,[],[f1480,f1460]) ).
fof(f1460,plain,
( spl34_225
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_225])]) ).
fof(f1480,plain,
e0 != op(e2,e4),
inference(forward_demodulation,[],[f250,f1166]) ).
fof(f250,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1479,plain,
spl34_107,
inference(avatar_split_clause,[],[f1478,f880]) ).
fof(f1478,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[],[f403,f401]) ).
fof(f403,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f1463,plain,
( spl34_101
| spl34_191
| spl34_225
| spl34_139 ),
inference(avatar_split_clause,[],[f1458,f1025,f1460,f1272,f855]) ).
fof(f1458,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e4)
| e0 = op(e2,e0)
| e0 = op(e2,e1) ),
inference(subsumption_resolution,[],[f1457,f408]) ).
fof(f1457,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e4)
| e0 = e4
| e0 = op(e2,e1) ),
inference(forward_demodulation,[],[f382,f401]) ).
fof(f382,plain,
( e0 = op(e2,e2)
| e0 = op(e2,e4)
| e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1456,plain,
( spl34_96
| spl34_29
| spl34_122
| spl34_206
| spl34_35 ),
inference(avatar_split_clause,[],[f355,f566,f1362,f948,f540,f831]) ).
fof(f355,plain,
( e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1455,plain,
~ spl34_42,
inference(avatar_split_clause,[],[f1454,f597]) ).
fof(f1454,plain,
e0 != op(e4,e2),
inference(forward_demodulation,[],[f236,f1166]) ).
fof(f236,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1453,plain,
( spl34_181
| spl34_223
| spl34_224
| spl34_168
| spl34_143 ),
inference(avatar_split_clause,[],[f371,f1043,f1158,f1450,f1446,f1226]) ).
fof(f371,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e4,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1444,plain,
~ spl34_147,
inference(avatar_split_clause,[],[f418,f1061]) ).
fof(f1061,plain,
( spl34_147
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_147])]) ).
fof(f418,plain,
~ sP16,
inference(trivial_inequality_removal,[],[f127]) ).
fof(f127,plain,
( ~ sP16
| op(e1,e1) != op(e1,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1443,plain,
( spl34_218
| spl34_219
| spl34_220
| spl34_221
| spl34_222 ),
inference(avatar_split_clause,[],[f346,f1440,f1436,f1432,f1428,f1424]) ).
fof(f346,plain,
( e4 = unit
| e0 = unit
| e3 = unit
| e1 = unit
| e2 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1422,plain,
( ~ spl34_150
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f89,f1419,f1073]) ).
fof(f1073,plain,
( spl34_150
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_150])]) ).
fof(f89,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1417,plain,
( spl34_215
| spl34_46
| spl34_27
| spl34_216
| spl34_6 ),
inference(avatar_split_clause,[],[f326,f441,f1414,f532,f613,f1410]) ).
fof(f326,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1382,plain,
( ~ spl34_85
| spl34_209 ),
inference(avatar_split_clause,[],[f166,f1379,f782]) ).
fof(f166,plain,
( e2 = op(e0,op(e2,e0))
| ~ sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1372,plain,
( spl34_207
| ~ spl34_57 ),
inference(avatar_split_clause,[],[f111,f661,f1369]) ).
fof(f661,plain,
( spl34_57
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_57])]) ).
fof(f111,plain,
( ~ sP21
| e4 = op(op(e4,e1),e1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1366,plain,
~ spl34_193,
inference(avatar_split_clause,[],[f404,f1283]) ).
fof(f404,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1341,plain,
( ~ spl34_115
| spl34_202 ),
inference(avatar_split_clause,[],[f117,f1338,f915]) ).
fof(f915,plain,
( spl34_115
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_115])]) ).
fof(f117,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1336,plain,
( ~ spl34_201
| ~ spl34_92 ),
inference(avatar_split_clause,[],[f114,f813,f1333]) ).
fof(f813,plain,
( spl34_92
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_92])]) ).
fof(f114,plain,
( ~ sP20
| e3 != op(op(e0,e3),e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1330,plain,
( spl34_5
| spl34_200
| spl34_110
| spl34_30 ),
inference(avatar_split_clause,[],[f1325,f544,f892,f1327,f437]) ).
fof(f1325,plain,
( e1 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4) ),
inference(subsumption_resolution,[],[f328,f1169]) ).
fof(f1169,plain,
e0 != op(e1,e4),
inference(backward_demodulation,[],[f234,f1166]) ).
fof(f234,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f328,plain,
( e1 = op(e1,e4)
| e2 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1310,plain,
~ spl34_135,
inference(avatar_split_clause,[],[f1309,f1008]) ).
fof(f1008,plain,
( spl34_135
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_135])]) ).
fof(f1309,plain,
e4 != op(e2,e1),
inference(forward_demodulation,[],[f299,f401]) ).
fof(f299,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1303,plain,
( ~ spl34_63
| spl34_64 ),
inference(avatar_split_clause,[],[f164,f692,f688]) ).
fof(f692,plain,
( spl34_64
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_64])]) ).
fof(f164,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1280,plain,
( spl34_192
| ~ spl34_156 ),
inference(avatar_split_clause,[],[f162,f1102,f1277]) ).
fof(f1102,plain,
( spl34_156
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_156])]) ).
fof(f162,plain,
( ~ sP4
| e1 = op(e4,op(e1,e4)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1275,plain,
( spl34_188
| spl34_189
| spl34_190
| spl34_191
| spl34_61 ),
inference(avatar_split_clause,[],[f324,f678,f1272,f1268,f1264,f1260]) ).
fof(f324,plain,
( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1249,plain,
( spl34_17
| spl34_51
| spl34_184
| spl34_185
| spl34_45 ),
inference(avatar_split_clause,[],[f316,f609,f1246,f1242,f634,f487]) ).
fof(f634,plain,
( spl34_51
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_51])]) ).
fof(f316,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1220,plain,
~ spl34_51,
inference(avatar_split_clause,[],[f1219,f634]) ).
fof(f1219,plain,
e4 != op(e3,e2),
inference(forward_demodulation,[],[f239,f401]) ).
fof(f239,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1218,plain,
( ~ spl34_153
| spl34_179 ),
inference(avatar_split_clause,[],[f106,f1215,f1085]) ).
fof(f1085,plain,
( spl34_153
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_153])]) ).
fof(f106,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1165,plain,
( spl34_135
| spl34_168
| spl34_169
| spl34_124
| spl34_101 ),
inference(avatar_split_clause,[],[f319,f855,f956,f1162,f1158,f1008]) ).
fof(f319,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1137,plain,
( spl34_156
| spl34_158
| spl34_159
| spl34_163
| spl34_157 ),
inference(avatar_split_clause,[],[f191,f1106,f1134,f1114,f1110,f1102]) ).
fof(f191,plain,
( e0 = op(e4,op(e0,e4))
| e2 = op(e4,op(e2,e4))
| e4 = op(e4,op(e4,e4))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1122,plain,
( ~ spl34_149
| ~ spl34_75 ),
inference(avatar_split_clause,[],[f94,f740,f1069]) ).
fof(f1069,plain,
( spl34_149
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_149])]) ).
fof(f94,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1099,plain,
( spl34_155
| ~ spl34_31 ),
inference(avatar_split_clause,[],[f156,f549,f1096]) ).
fof(f549,plain,
( spl34_31
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_31])]) ).
fof(f156,plain,
( ~ sP6
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1088,plain,
( spl34_145
| spl34_111
| spl34_57
| spl34_21
| spl34_76
| spl34_25
| spl34_125
| spl34_41
| spl34_146
| spl34_147
| spl34_148
| spl34_115
| spl34_92
| spl34_99
| spl34_149
| spl34_150
| spl34_151
| spl34_74
| spl34_53
| spl34_54
| spl34_152
| spl34_153
| spl34_18
| spl34_1
| spl34_31 ),
inference(avatar_split_clause,[],[f196,f549,f420,f492,f1085,f1081,f648,f643,f735,f1077,f1073,f1069,f845,f813,f915,f1065,f1061,f1057,f592,f961,f523,f744,f505,f661,f897,f1053]) ).
fof(f744,plain,
( spl34_76
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_76])]) ).
fof(f961,plain,
( spl34_125
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_125])]) ).
fof(f592,plain,
( spl34_41
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_41])]) ).
fof(f643,plain,
( spl34_53
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_53])]) ).
fof(f648,plain,
( spl34_54
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_54])]) ).
fof(f492,plain,
( spl34_18
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).
fof(f420,plain,
( spl34_1
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f196,plain,
( sP6
| sP24
| sP8
| sP23
| e2 = op(op(e2,e4),e4)
| sP14
| sP22
| sP13
| sP25
| sP29
| sP27
| sP15
| sP20
| sP19
| sP26
| sP16
| sP7
| sP11
| sP18
| sP10
| sP12
| sP9
| sP21
| sP28
| sP17 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1051,plain,
( spl34_144
| ~ spl34_18 ),
inference(avatar_split_clause,[],[f151,f492,f1048]) ).
fof(f151,plain,
( ~ sP8
| e1 = op(op(e1,e4),e4) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( op(e1,e4) != op(e4,e1)
& e1 = op(op(e1,e4),e4)
& e4 != op(op(e1,e4),e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f968,plain,
( ~ spl34_125
| spl34_126 ),
inference(avatar_split_clause,[],[f121,f965,f961]) ).
fof(f121,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f959,plain,
( spl34_121
| spl34_122
| spl34_61
| spl34_123
| spl34_124 ),
inference(avatar_split_clause,[],[f384,f956,f952,f678,f948,f944]) ).
fof(f384,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f933,plain,
( ~ spl34_53
| ~ spl34_118 ),
inference(avatar_split_clause,[],[f110,f930,f643]) ).
fof(f110,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2)
& e4 = op(op(e4,e2),e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f821,plain,
( ~ spl34_1
| ~ spl34_93 ),
inference(avatar_split_clause,[],[f102,f818,f420]) ).
fof(f102,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f807,plain,
( ~ spl34_90
| ~ spl34_41 ),
inference(avatar_split_clause,[],[f142,f592,f804]) ).
fof(f142,plain,
( ~ sP11
| e0 != op(op(e4,e0),e4) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f747,plain,
( ~ spl34_75
| ~ spl34_76 ),
inference(avatar_split_clause,[],[f140,f744,f740]) ).
fof(f140,plain,
( ~ sP12
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f695,plain,
( ~ spl34_63
| ~ spl34_64 ),
inference(avatar_split_clause,[],[f163,f692,f688]) ).
fof(f163,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f655,plain,
( ~ spl34_54
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f132,f652,f648]) ).
fof(f132,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e3 = op(op(e3,e0),e0)
& e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG057+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_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:04:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.50 % (26685)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50 % (26677)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (26677)Instruction limit reached!
% 0.18/0.50 % (26677)------------------------------
% 0.18/0.50 % (26677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (26677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (26677)Termination reason: Unknown
% 0.18/0.50 % (26677)Termination phase: Preprocessing 3
% 0.18/0.50
% 0.18/0.50 % (26677)Memory used [KB]: 1535
% 0.18/0.50 % (26677)Time elapsed: 0.004 s
% 0.18/0.50 % (26677)Instructions burned: 3 (million)
% 0.18/0.50 % (26677)------------------------------
% 0.18/0.50 % (26677)------------------------------
% 0.18/0.50 % (26669)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50 % (26671)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51 % (26675)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.29/0.52 % (26687)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.53 % (26665)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.53 % (26663)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.29/0.53 % (26667)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.53 % (26678)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.53 % (26668)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.29/0.53 % (26666)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (26689)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.54 % (26678)Instruction limit reached!
% 1.29/0.54 % (26678)------------------------------
% 1.29/0.54 % (26678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (26676)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.54 % (26674)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.54 % (26679)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54 % (26674)Instruction limit reached!
% 1.37/0.54 % (26674)------------------------------
% 1.37/0.54 % (26674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (26674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (26674)Termination reason: Unknown
% 1.37/0.54 % (26674)Termination phase: Saturation
% 1.37/0.54
% 1.37/0.54 % (26674)Memory used [KB]: 1663
% 1.37/0.54 % (26674)Time elapsed: 0.006 s
% 1.37/0.54 % (26674)Instructions burned: 10 (million)
% 1.37/0.54 % (26674)------------------------------
% 1.37/0.54 % (26674)------------------------------
% 1.37/0.54 % (26678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (26675)Instruction limit reached!
% 1.37/0.54 % (26675)------------------------------
% 1.37/0.54 % (26675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (26675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (26675)Termination reason: Unknown
% 1.37/0.54 % (26675)Termination phase: Saturation
% 1.37/0.54
% 1.37/0.54 % (26675)Memory used [KB]: 1791
% 1.37/0.54 % (26675)Time elapsed: 0.008 s
% 1.37/0.54 % (26675)Instructions burned: 17 (million)
% 1.37/0.54 % (26675)------------------------------
% 1.37/0.54 % (26675)------------------------------
% 1.37/0.54 % (26678)Termination reason: Unknown
% 1.37/0.54 % (26678)Termination phase: Property scanning
% 1.37/0.54
% 1.37/0.54 % (26678)Memory used [KB]: 1535
% 1.37/0.54 % (26678)Time elapsed: 0.007 s
% 1.37/0.54 % (26678)Instructions burned: 7 (million)
% 1.37/0.54 % (26678)------------------------------
% 1.37/0.54 % (26678)------------------------------
% 1.37/0.54 % (26681)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.54 % (26691)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.37/0.54 % (26681)Instruction limit reached!
% 1.37/0.54 % (26681)------------------------------
% 1.37/0.54 % (26681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (26681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (26681)Termination reason: Unknown
% 1.37/0.54 % (26681)Termination phase: Preprocessing 1
% 1.37/0.54
% 1.37/0.54 % (26681)Memory used [KB]: 1407
% 1.37/0.54 % (26681)Time elapsed: 0.002 s
% 1.37/0.54 % (26681)Instructions burned: 3 (million)
% 1.37/0.54 % (26681)------------------------------
% 1.37/0.54 % (26681)------------------------------
% 1.37/0.54 % (26680)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.54 % (26691)Instruction limit reached!
% 1.37/0.54 % (26691)------------------------------
% 1.37/0.54 % (26691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (26691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (26691)Termination reason: Unknown
% 1.37/0.54 % (26691)Termination phase: Property scanning
% 1.37/0.54
% 1.37/0.54 % (26691)Memory used [KB]: 1535
% 1.37/0.54 % (26691)Time elapsed: 0.004 s
% 1.37/0.54 % (26691)Instructions burned: 8 (million)
% 1.37/0.54 % (26691)------------------------------
% 1.37/0.54 % (26691)------------------------------
% 1.37/0.54 % (26683)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.37/0.54 % (26690)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.37/0.54 % (26670)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.37/0.55 % (26673)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.37/0.55 % (26692)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.37/0.55 % (26669)Instruction limit reached!
% 1.37/0.55 % (26669)------------------------------
% 1.37/0.55 % (26669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (26688)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.37/0.55 % (26669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (26669)Termination reason: Unknown
% 1.37/0.55 % (26669)Termination phase: Saturation
% 1.37/0.55
% 1.37/0.55 % (26669)Memory used [KB]: 6908
% 1.37/0.55 % (26669)Time elapsed: 0.092 s
% 1.37/0.55 % (26669)Instructions burned: 40 (million)
% 1.37/0.55 % (26669)------------------------------
% 1.37/0.55 % (26669)------------------------------
% 1.37/0.55 % (26665)Instruction limit reached!
% 1.37/0.55 % (26665)------------------------------
% 1.37/0.55 % (26665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (26665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (26665)Termination reason: Unknown
% 1.37/0.55 % (26665)Termination phase: Property scanning
% 1.37/0.55
% 1.37/0.55 % (26665)Memory used [KB]: 1535
% 1.37/0.55 % (26665)Time elapsed: 0.003 s
% 1.37/0.55 % (26665)Instructions burned: 4 (million)
% 1.37/0.55 % (26665)------------------------------
% 1.37/0.55 % (26665)------------------------------
% 1.37/0.55 % (26686)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.37/0.55 % (26682)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.37/0.55 % (26664)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.37/0.55 % (26684)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.55 % (26667)Instruction limit reached!
% 1.37/0.55 % (26667)------------------------------
% 1.37/0.55 % (26667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (26667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (26667)Termination reason: Unknown
% 1.37/0.55 % (26667)Termination phase: Clausification
% 1.37/0.55
% 1.37/0.55 % (26667)Memory used [KB]: 8955
% 1.37/0.55 % (26667)Time elapsed: 0.010 s
% 1.37/0.55 % (26667)Instructions burned: 14 (million)
% 1.37/0.55 % (26667)------------------------------
% 1.37/0.55 % (26667)------------------------------
% 1.37/0.55 % (26687)Refutation not found, incomplete strategy% (26687)------------------------------
% 1.37/0.55 % (26687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (26664)Instruction limit reached!
% 1.37/0.56 % (26664)------------------------------
% 1.37/0.56 % (26664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (26664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (26664)Termination reason: Unknown
% 1.37/0.56 % (26664)Termination phase: Saturation
% 1.37/0.56
% 1.37/0.56 % (26664)Memory used [KB]: 1791
% 1.37/0.56 % (26664)Time elapsed: 0.006 s
% 1.37/0.56 % (26664)Instructions burned: 13 (million)
% 1.37/0.56 % (26664)------------------------------
% 1.37/0.56 % (26664)------------------------------
% 1.37/0.56 % (26672)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.37/0.56 % (26668)Instruction limit reached!
% 1.37/0.56 % (26668)------------------------------
% 1.37/0.56 % (26668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (26668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (26668)Termination reason: Unknown
% 1.37/0.56 % (26668)Termination phase: Saturation
% 1.37/0.56
% 1.37/0.56 % (26668)Memory used [KB]: 1918
% 1.37/0.56 % (26668)Time elapsed: 0.008 s
% 1.37/0.56 % (26668)Instructions burned: 16 (million)
% 1.37/0.56 % (26668)------------------------------
% 1.37/0.56 % (26668)------------------------------
% 1.37/0.56 % (26680)Instruction limit reached!
% 1.37/0.56 % (26680)------------------------------
% 1.37/0.56 % (26680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (26680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (26680)Termination reason: Unknown
% 1.37/0.56 % (26680)Termination phase: Property scanning
% 1.37/0.56
% 1.37/0.56 % (26680)Memory used [KB]: 1663
% 1.37/0.56 % (26680)Time elapsed: 0.004 s
% 1.37/0.56 % (26680)Instructions burned: 5 (million)
% 1.37/0.56 % (26680)------------------------------
% 1.37/0.56 % (26680)------------------------------
% 1.37/0.57 % (26673)Instruction limit reached!
% 1.37/0.57 % (26673)------------------------------
% 1.37/0.57 % (26673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57 % (26673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57 % (26673)Termination reason: Unknown
% 1.37/0.57 % (26673)Termination phase: Property scanning
% 1.37/0.57
% 1.37/0.57 % (26673)Memory used [KB]: 1663
% 1.37/0.57 % (26673)Time elapsed: 0.006 s
% 1.37/0.57 % (26673)Instructions burned: 13 (million)
% 1.37/0.57 % (26673)------------------------------
% 1.37/0.57 % (26673)------------------------------
% 1.37/0.57 % (26683)Instruction limit reached!
% 1.37/0.57 % (26683)------------------------------
% 1.37/0.57 % (26683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57 % (26683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57 % (26683)Termination reason: Unknown
% 1.37/0.57 % (26683)Termination phase: Saturation
% 1.37/0.57
% 1.37/0.57 % (26683)Memory used [KB]: 7036
% 1.37/0.57 % (26683)Time elapsed: 0.183 s
% 1.37/0.57 % (26683)Instructions burned: 31 (million)
% 1.37/0.57 % (26683)------------------------------
% 1.37/0.57 % (26683)------------------------------
% 1.37/0.57 % (26682)Instruction limit reached!
% 1.37/0.57 % (26682)------------------------------
% 1.37/0.57 % (26682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57 % (26682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57 % (26682)Termination reason: Unknown
% 1.37/0.57 % (26682)Termination phase: Property scanning
% 1.37/0.57
% 1.37/0.57 % (26682)Memory used [KB]: 1663
% 1.37/0.57 % (26682)Time elapsed: 0.006 s
% 1.37/0.57 % (26682)Instructions burned: 13 (million)
% 1.37/0.57 % (26682)------------------------------
% 1.37/0.57 % (26682)------------------------------
% 1.37/0.57 % (26687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57 % (26687)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.57
% 1.37/0.57 % (26687)Memory used [KB]: 7036
% 1.37/0.57 % (26687)Time elapsed: 0.143 s
% 1.37/0.57 % (26687)Instructions burned: 30 (million)
% 1.37/0.57 % (26687)------------------------------
% 1.37/0.57 % (26687)------------------------------
% 1.37/0.59 % (26671)Instruction limit reached!
% 1.37/0.59 % (26671)------------------------------
% 1.37/0.59 % (26671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.59 % (26671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.59 % (26671)Termination reason: Unknown
% 1.37/0.59 % (26671)Termination phase: Saturation
% 1.37/0.59
% 1.37/0.59 % (26671)Memory used [KB]: 7291
% 1.37/0.59 % (26671)Time elapsed: 0.175 s
% 1.37/0.59 % (26671)Instructions burned: 49 (million)
% 1.37/0.59 % (26671)------------------------------
% 1.37/0.59 % (26671)------------------------------
% 1.37/0.60 % (26690)Instruction limit reached!
% 1.37/0.60 % (26690)------------------------------
% 1.37/0.60 % (26690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.60 % (26690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.60 % (26690)Termination reason: Unknown
% 1.37/0.60 % (26690)Termination phase: Saturation
% 1.37/0.60
% 1.37/0.60 % (26690)Memory used [KB]: 6780
% 1.37/0.60 % (26690)Time elapsed: 0.182 s
% 1.37/0.60 % (26690)Instructions burned: 26 (million)
% 1.37/0.60 % (26690)------------------------------
% 1.37/0.60 % (26690)------------------------------
% 1.37/0.60 % (26692)Instruction limit reached!
% 1.37/0.60 % (26692)------------------------------
% 1.37/0.60 % (26692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.60 % (26692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.60 % (26692)Termination reason: Unknown
% 1.37/0.60 % (26692)Termination phase: Clausification
% 1.37/0.60
% 1.37/0.60 % (26692)Memory used [KB]: 16630
% 1.37/0.60 % (26692)Time elapsed: 0.018 s
% 1.37/0.60 % (26692)Instructions burned: 24 (million)
% 1.37/0.60 % (26692)------------------------------
% 1.37/0.60 % (26692)------------------------------
% 1.37/0.61 % (26672)Instruction limit reached!
% 1.37/0.61 % (26672)------------------------------
% 1.37/0.61 % (26672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61 % (26672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61 % (26672)Termination reason: Unknown
% 1.37/0.61 % (26672)Termination phase: Saturation
% 1.37/0.61
% 1.37/0.61 % (26672)Memory used [KB]: 6908
% 1.37/0.61 % (26672)Time elapsed: 0.195 s
% 1.37/0.61 % (26672)Instructions burned: 34 (million)
% 1.37/0.61 % (26672)------------------------------
% 1.37/0.61 % (26672)------------------------------
% 1.37/0.61 % (26686)Instruction limit reached!
% 1.37/0.61 % (26686)------------------------------
% 1.37/0.61 % (26686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61 % (26686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61 % (26686)Termination reason: Unknown
% 1.37/0.61 % (26686)Termination phase: Saturation
% 1.37/0.61
% 1.37/0.61 % (26686)Memory used [KB]: 2302
% 1.37/0.61 % (26686)Time elapsed: 0.195 s
% 1.37/0.61 % (26686)Instructions burned: 46 (million)
% 1.37/0.61 % (26686)------------------------------
% 1.37/0.61 % (26686)------------------------------
% 1.37/0.61 % (26694)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.37/0.62 % (26676)Instruction limit reached!
% 1.37/0.62 % (26676)------------------------------
% 1.37/0.62 % (26676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (26676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (26676)Termination reason: Unknown
% 1.37/0.62 % (26676)Termination phase: Saturation
% 1.37/0.62
% 1.37/0.62 % (26676)Memory used [KB]: 7164
% 1.37/0.62 % (26676)Time elapsed: 0.028 s
% 1.37/0.62 % (26676)Instructions burned: 52 (million)
% 1.37/0.62 % (26676)------------------------------
% 1.37/0.62 % (26676)------------------------------
% 1.37/0.62 % (26666)Instruction limit reached!
% 1.37/0.62 % (26666)------------------------------
% 1.37/0.62 % (26666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (26666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (26666)Termination reason: Unknown
% 1.37/0.62 % (26666)Termination phase: Saturation
% 1.37/0.62
% 1.37/0.62 % (26666)Memory used [KB]: 7164
% 1.37/0.62 % (26666)Time elapsed: 0.169 s
% 1.37/0.62 % (26666)Instructions burned: 51 (million)
% 1.37/0.62 % (26666)------------------------------
% 1.37/0.62 % (26666)------------------------------
% 1.37/0.63 % (26670)Instruction limit reached!
% 1.37/0.63 % (26670)------------------------------
% 1.37/0.63 % (26670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.63 % (26670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.63 % (26670)Termination reason: Unknown
% 1.37/0.63 % (26670)Termination phase: Saturation
% 1.37/0.63
% 1.37/0.63 % (26670)Memory used [KB]: 7036
% 1.37/0.63 % (26670)Time elapsed: 0.205 s
% 1.37/0.63 % (26670)Instructions burned: 40 (million)
% 1.37/0.63 % (26670)------------------------------
% 1.37/0.63 % (26670)------------------------------
% 1.99/0.63 % (26679)Instruction limit reached!
% 1.99/0.63 % (26679)------------------------------
% 1.99/0.63 % (26679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (26679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (26679)Termination reason: Unknown
% 1.99/0.63 % (26679)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (26679)Memory used [KB]: 7164
% 1.99/0.63 % (26679)Time elapsed: 0.207 s
% 1.99/0.63 % (26679)Instructions burned: 51 (million)
% 1.99/0.63 % (26679)------------------------------
% 1.99/0.63 % (26679)------------------------------
% 1.99/0.66 % (26695)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.99/0.66 % (26698)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.99/0.66 % (26696)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.99/0.67 % (26697)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.99/0.67 % (26685)Instruction limit reached!
% 1.99/0.67 % (26685)------------------------------
% 1.99/0.67 % (26685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.67 % (26685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.67 % (26685)Termination reason: Unknown
% 1.99/0.67 % (26685)Termination phase: Clausification
% 1.99/0.67
% 1.99/0.67 % (26685)Memory used [KB]: 63325
% 1.99/0.67 % (26685)Time elapsed: 0.090 s
% 1.99/0.67 % (26685)Instructions burned: 82 (million)
% 1.99/0.67 % (26685)------------------------------
% 1.99/0.67 % (26685)------------------------------
% 1.99/0.68 % (26699)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.99/0.68 % (26707)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.99/0.68 % (26700)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 1.99/0.68 % (26695)Instruction limit reached!
% 1.99/0.68 % (26695)------------------------------
% 1.99/0.68 % (26695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.68 % (26695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.68 % (26695)Termination reason: Unknown
% 1.99/0.68 % (26695)Termination phase: Property scanning
% 1.99/0.68
% 1.99/0.68 % (26695)Memory used [KB]: 1535
% 1.99/0.68 % (26695)Time elapsed: 0.006 s
% 1.99/0.68 % (26695)Instructions burned: 10 (million)
% 1.99/0.68 % (26695)------------------------------
% 1.99/0.68 % (26695)------------------------------
% 1.99/0.69 % (26701)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.99/0.69 % (26708)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.13/0.69 % (26702)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.13/0.69 % (26704)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.13/0.70 % (26705)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.13/0.70 % (26688)First to succeed.
% 2.13/0.70 % (26706)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.13/0.70 % (26703)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.13/0.71 % (26710)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.13/0.71 % (26684)Instruction limit reached!
% 2.13/0.71 % (26684)------------------------------
% 2.13/0.71 % (26684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.71 % (26684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.71 % (26684)Termination reason: Unknown
% 2.13/0.71 % (26684)Termination phase: Saturation
% 2.13/0.71
% 2.13/0.71 % (26684)Memory used [KB]: 6908
% 2.13/0.71 % (26684)Time elapsed: 0.311 s
% 2.13/0.71 % (26684)Instructions burned: 99 (million)
% 2.13/0.71 % (26684)------------------------------
% 2.13/0.71 % (26684)------------------------------
% 2.13/0.71 % (26709)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.13/0.72 % (26702)Refutation not found, incomplete strategy% (26702)------------------------------
% 2.13/0.72 % (26702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (26702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (26702)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.72
% 2.13/0.72 % (26702)Memory used [KB]: 6524
% 2.13/0.72 % (26702)Time elapsed: 0.137 s
% 2.13/0.72 % (26702)Instructions burned: 20 (million)
% 2.13/0.72 % (26702)------------------------------
% 2.13/0.72 % (26702)------------------------------
% 2.13/0.72 % (26689)Instruction limit reached!
% 2.13/0.72 % (26689)------------------------------
% 2.13/0.72 % (26689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (26689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (26689)Termination reason: Unknown
% 2.13/0.72 % (26689)Termination phase: Saturation
% 2.13/0.72
% 2.13/0.72 % (26689)Memory used [KB]: 7675
% 2.13/0.72 % (26689)Time elapsed: 0.225 s
% 2.13/0.72 % (26689)Instructions burned: 100 (million)
% 2.13/0.72 % (26689)------------------------------
% 2.13/0.72 % (26689)------------------------------
% 2.13/0.72 % (26711)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.13/0.73 % (26688)Refutation found. Thanks to Tanya!
% 2.13/0.73 % SZS status Theorem for theBenchmark
% 2.13/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.73 % (26688)------------------------------
% 2.13/0.73 % (26688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.73 % (26688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.73 % (26688)Termination reason: Refutation
% 2.13/0.73
% 2.13/0.73 % (26688)Memory used [KB]: 8187
% 2.13/0.73 % (26688)Time elapsed: 0.055 s
% 2.13/0.73 % (26688)Instructions burned: 86 (million)
% 2.13/0.73 % (26688)------------------------------
% 2.13/0.73 % (26688)------------------------------
% 2.13/0.73 % (26662)Success in time 0.39 s
%------------------------------------------------------------------------------