TSTP Solution File: ALG153+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG153+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 15:43:09 EDT 2022
% Result : Unsatisfiable 2.95s 0.84s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 173
% Syntax : Number of formulae : 1447 ( 55 unt; 0 def)
% Number of atoms : 4908 (2273 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 6324 (2863 ~;2780 |; 563 &)
% ( 118 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 150 ( 148 usr; 149 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3185,plain,
$false,
inference(avatar_sat_refutation,[],[f445,f454,f467,f476,f537,f554,f559,f577,f582,f587,f592,f601,f606,f628,f641,f643,f656,f670,f675,f688,f701,f702,f707,f721,f722,f723,f729,f730,f731,f732,f733,f734,f735,f740,f745,f754,f755,f760,f765,f770,f783,f788,f793,f806,f815,f828,f829,f838,f840,f841,f847,f852,f853,f854,f855,f856,f861,f862,f863,f864,f865,f867,f868,f869,f870,f875,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f898,f899,f900,f901,f902,f907,f908,f917,f918,f932,f933,f934,f943,f944,f945,f946,f947,f948,f949,f958,f963,f964,f965,f966,f967,f968,f978,f979,f980,f985,f986,f988,f990,f991,f993,f994,f995,f996,f1001,f1002,f1003,f1014,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1032,f1034,f1035,f1036,f1037,f1042,f1047,f1048,f1051,f1052,f1053,f1054,f1056,f1057,f1058,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1076,f1077,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1090,f1091,f1092,f1094,f1095,f1096,f1101,f1102,f1103,f1104,f1105,f1106,f1108,f1109,f1110,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1146,f1147,f1148,f1157,f1159,f1160,f1163,f1171,f1172,f1173,f1174,f1175,f1180,f1182,f1185,f1189,f1195,f1207,f1214,f1217,f1220,f1225,f1232,f1252,f1253,f1254,f1255,f1256,f1259,f1271,f1274,f1277,f1287,f1296,f1297,f1298,f1306,f1309,f1312,f1314,f1316,f1318,f1323,f1330,f1335,f1342,f1345,f1348,f1350,f1352,f1356,f1359,f1362,f1364,f1367,f1369,f1372,f1381,f1383,f1390,f1396,f1403,f1407,f1431,f1433,f1438,f1440,f1442,f1447,f1449,f1461,f1469,f1477,f1497,f1519,f1540,f1549,f1554,f1567,f1574,f1578,f1581,f1597,f1599,f1602,f1620,f1633,f1638,f1640,f1641,f1646,f1661,f1666,f1686,f1691,f1700,f1705,f1724,f1732,f1737,f1742,f1752,f1754,f1759,f1763,f1769,f1771,f1774,f1781,f1796,f1800,f1802,f1810,f1831,f1832,f1843,f1859,f1871,f1874,f1893,f1905,f1921,f1924,f1927,f1932,f1944,f1951,f1969,f1981,f1985,f1986,f1990,f1996,f2000,f2004,f2011,f2013,f2031,f2044,f2059,f2062,f2066,f2068,f2084,f2102,f2121,f2123,f2126,f2131,f2144,f2187,f2191,f2200,f2203,f2208,f2216,f2222,f2243,f2251,f2255,f2260,f2285,f2288,f2293,f2296,f2318,f2325,f2326,f2331,f2347,f2361,f2365,f2372,f2392,f2402,f2404,f2410,f2416,f2430,f2431,f2432,f2449,f2492,f2495,f2497,f2502,f2509,f2517,f2522,f2525,f2528,f2532,f2537,f2543,f2572,f2579,f2583,f2588,f2592,f2595,f2601,f2613,f2635,f2674,f2678,f2680,f2684,f2686,f2698,f2702,f2710,f2719,f2723,f2725,f2735,f2768,f2770,f2772,f2774,f2775,f2778,f2781,f2783,f2787,f2790,f2793,f2810,f2816,f2820,f2824,f2828,f2834,f2837,f2841,f2850,f2874,f2883,f2884,f2885,f2892,f2899,f2901,f2902,f2906,f2912,f2913,f2921,f2936,f2950,f2975,f2976,f2979,f2983,f2986,f2991,f2997,f2998,f3010,f3023,f3064,f3078,f3093,f3101,f3105,f3109,f3112,f3115,f3121,f3128,f3135,f3151,f3156,f3175,f3180,f3184]) ).
fof(f3184,plain,
( ~ spl30_5
| ~ spl30_49
| spl30_104 ),
inference(avatar_contradiction_clause,[],[f3183]) ).
fof(f3183,plain,
( $false
| ~ spl30_5
| ~ spl30_49
| spl30_104 ),
inference(subsumption_resolution,[],[f3182,f647]) ).
fof(f647,plain,
( e2 = op(e3,e1)
| ~ spl30_49 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl30_49
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_49])]) ).
fof(f3182,plain,
( e2 != op(e3,e1)
| ~ spl30_5
| spl30_104 ),
inference(forward_demodulation,[],[f957,f453]) ).
fof(f453,plain,
( e1 = op(e3,e3)
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl30_5
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f957,plain,
( e2 != op(e3,op(e3,e3))
| spl30_104 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl30_104
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_104])]) ).
fof(f3180,plain,
( spl30_43
| ~ spl30_44
| ~ spl30_54 ),
inference(avatar_contradiction_clause,[],[f3179]) ).
fof(f3179,plain,
( $false
| spl30_43
| ~ spl30_44
| ~ spl30_54 ),
inference(subsumption_resolution,[],[f3178,f668]) ).
fof(f668,plain,
( e0 = op(e1,e1)
| ~ spl30_54 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl30_54
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_54])]) ).
fof(f3178,plain,
( e0 != op(e1,e1)
| spl30_43
| ~ spl30_44 ),
inference(forward_demodulation,[],[f619,f622]) ).
fof(f622,plain,
( e1 = op(e2,e2)
| ~ spl30_44 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl30_44
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_44])]) ).
fof(f619,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl30_43 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl30_43
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_43])]) ).
fof(f3175,plain,
( ~ spl30_3
| ~ spl30_74
| spl30_115 ),
inference(avatar_contradiction_clause,[],[f3174]) ).
fof(f3174,plain,
( $false
| ~ spl30_3
| ~ spl30_74
| spl30_115 ),
inference(subsumption_resolution,[],[f3173,f774]) ).
fof(f774,plain,
( e3 = op(e0,e2)
| ~ spl30_74 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl30_74
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_74])]) ).
fof(f3173,plain,
( e3 != op(e0,e2)
| ~ spl30_3
| spl30_115 ),
inference(forward_demodulation,[],[f1046,f443]) ).
fof(f443,plain,
( op(e0,e0) = e2
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl30_3
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f1046,plain,
( e3 != op(e0,op(e0,e0))
| spl30_115 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1044,plain,
( spl30_115
<=> e3 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_115])]) ).
fof(f3156,plain,
( ~ spl30_44
| spl30_45
| ~ spl30_105 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3155,plain,
( $false
| ~ spl30_44
| spl30_45
| ~ spl30_105 ),
inference(subsumption_resolution,[],[f3154,f962]) ).
fof(f962,plain,
( e3 = op(e2,e1)
| ~ spl30_105 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl30_105
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_105])]) ).
fof(f3154,plain,
( e3 != op(e2,e1)
| ~ spl30_44
| spl30_45 ),
inference(forward_demodulation,[],[f627,f622]) ).
fof(f627,plain,
( e3 != op(e2,op(e2,e2))
| spl30_45 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl30_45
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_45])]) ).
fof(f3151,plain,
( spl30_40
| ~ spl30_44
| ~ spl30_106 ),
inference(avatar_contradiction_clause,[],[f3150]) ).
fof(f3150,plain,
( $false
| spl30_40
| ~ spl30_44
| ~ spl30_106 ),
inference(subsumption_resolution,[],[f3149,f604]) ).
fof(f604,plain,
( e1 != op(e1,e1)
| spl30_40 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl30_40
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_40])]) ).
fof(f3149,plain,
( e1 = op(e1,e1)
| ~ spl30_44
| ~ spl30_106 ),
inference(forward_demodulation,[],[f971,f622]) ).
fof(f971,plain,
( e1 = op(op(e2,e2),op(e2,e2))
| ~ spl30_106 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl30_106
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_106])]) ).
fof(f3135,plain,
( ~ spl30_87
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f3134,f561,f831]) ).
fof(f831,plain,
( spl30_87
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_87])]) ).
fof(f561,plain,
( spl30_31
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_31])]) ).
fof(f3134,plain,
( e3 != op(e3,e3)
| ~ spl30_31 ),
inference(backward_demodulation,[],[f155,f562]) ).
fof(f562,plain,
( e3 = op(e3,e0)
| ~ spl30_31 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f155,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e0,e0) != op(e2,e0)
& op(e3,e1) != op(e3,e3)
& op(e1,e2) != op(e3,e2)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e2)
& op(e2,e1) != op(e2,e3)
& op(e1,e0) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e2,e1)
& op(e2,e0) != op(e3,e0)
& op(e3,e2) != op(e3,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e0) != op(e2,e0)
& op(e2,e3) != op(e3,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e3,e1)
& op(e2,e2) != op(e3,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e3) != op(e2,e3)
& op(e1,e2) != op(e2,e2)
& op(e0,e1) != op(e3,e1)
& op(e1,e0) != op(e3,e0)
& op(e1,e1) != op(e1,e2)
& op(e0,e0) != op(e0,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e1,e3)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e0,e3) != op(e1,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e3,e3)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e0) != op(e3,e3)
& op(e0,e2) != op(e0,e3)
& op(e0,e0) != op(e1,e0)
& op(e1,e0) != op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f3128,plain,
( ~ spl30_47
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f3127,f621,f634]) ).
fof(f634,plain,
( spl30_47
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_47])]) ).
fof(f3127,plain,
( e1 != op(e1,e2)
| ~ spl30_44 ),
inference(forward_demodulation,[],[f179,f622]) ).
fof(f179,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3121,plain,
( ~ spl30_73
| ~ spl30_49 ),
inference(avatar_split_clause,[],[f3119,f645,f767]) ).
fof(f767,plain,
( spl30_73
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_73])]) ).
fof(f3119,plain,
( e2 != op(e2,e1)
| ~ spl30_49 ),
inference(backward_demodulation,[],[f192,f647]) ).
fof(f192,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3115,plain,
( ~ spl30_73
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f3057,f612,f767]) ).
fof(f612,plain,
( spl30_42
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_42])]) ).
fof(f3057,plain,
( e2 != op(e2,e1)
| ~ spl30_42 ),
inference(forward_demodulation,[],[f194,f613]) ).
fof(f613,plain,
( e2 = op(e2,e3)
| ~ spl30_42 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f194,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3112,plain,
( ~ spl30_117
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f3024,f612,f1080]) ).
fof(f1080,plain,
( spl30_117
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_117])]) ).
fof(f3024,plain,
( e2 != op(e0,e3)
| ~ spl30_42 ),
inference(forward_demodulation,[],[f180,f613]) ).
fof(f180,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3109,plain,
( ~ spl30_54
| ~ spl30_5
| spl30_112 ),
inference(avatar_split_clause,[],[f3055,f1016,f451,f667]) ).
fof(f1016,plain,
( spl30_112
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_112])]) ).
fof(f3055,plain,
( e0 != op(e1,e1)
| ~ spl30_5
| spl30_112 ),
inference(backward_demodulation,[],[f1018,f453]) ).
fof(f1018,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl30_112 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f3105,plain,
( ~ spl30_3
| ~ spl30_44
| spl30_65 ),
inference(avatar_contradiction_clause,[],[f3104]) ).
fof(f3104,plain,
( $false
| ~ spl30_3
| ~ spl30_44
| spl30_65 ),
inference(subsumption_resolution,[],[f3103,f622]) ).
fof(f3103,plain,
( e1 != op(e2,e2)
| ~ spl30_3
| spl30_65 ),
inference(forward_demodulation,[],[f719,f443]) ).
fof(f719,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl30_65 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl30_65
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_65])]) ).
fof(f3101,plain,
( ~ spl30_118
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f3100,f442,f1098]) ).
fof(f1098,plain,
( spl30_118
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_118])]) ).
fof(f3100,plain,
( e2 != op(e3,e0)
| ~ spl30_3 ),
inference(forward_demodulation,[],[f169,f443]) ).
fof(f169,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3093,plain,
( ~ spl30_67
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f3092,f621,f737]) ).
fof(f737,plain,
( spl30_67
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_67])]) ).
fof(f3092,plain,
( e1 != op(e2,e1)
| ~ spl30_44 ),
inference(forward_demodulation,[],[f166,f622]) ).
fof(f166,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3078,plain,
( ~ spl30_5
| ~ spl30_32 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| ~ spl30_5
| ~ spl30_32 ),
inference(subsumption_resolution,[],[f3076,f404]) ).
fof(f404,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e2
& e0 != e1
& e1 != e3
& e0 != e2
& e0 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3076,plain,
( e0 = e1
| ~ spl30_5
| ~ spl30_32 ),
inference(backward_demodulation,[],[f453,f566]) ).
fof(f566,plain,
( e0 = op(e3,e3)
| ~ spl30_32 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl30_32
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_32])]) ).
fof(f3064,plain,
( ~ spl30_5
| ~ spl30_26 ),
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3063,plain,
( $false
| ~ spl30_5
| ~ spl30_26 ),
inference(subsumption_resolution,[],[f3062,f541]) ).
fof(f541,plain,
( e1 = op(e3,e2)
| ~ spl30_26 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl30_26
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_26])]) ).
fof(f3062,plain,
( e1 != op(e3,e2)
| ~ spl30_5 ),
inference(forward_demodulation,[],[f188,f453]) ).
fof(f188,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3023,plain,
( ~ spl30_32
| ~ spl30_41
| spl30_43 ),
inference(avatar_split_clause,[],[f3022,f617,f608,f565]) ).
fof(f608,plain,
( spl30_41
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_41])]) ).
fof(f3022,plain,
( e0 != op(e3,e3)
| ~ spl30_41
| spl30_43 ),
inference(forward_demodulation,[],[f619,f609]) ).
fof(f609,plain,
( e3 = op(e2,e2)
| ~ spl30_41 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f3010,plain,
( ~ spl30_5
| ~ spl30_70 ),
inference(avatar_split_clause,[],[f3009,f751,f451]) ).
fof(f751,plain,
( spl30_70
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_70])]) ).
fof(f3009,plain,
( e1 != op(e3,e3)
| ~ spl30_70 ),
inference(forward_demodulation,[],[f187,f753]) ).
fof(f753,plain,
( e1 = op(e0,e3)
| ~ spl30_70 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f187,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2998,plain,
( ~ spl30_49
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f2996,f1098,f645]) ).
fof(f2996,plain,
( e2 != op(e3,e1)
| ~ spl30_118 ),
inference(backward_demodulation,[],[f170,f1100]) ).
fof(f1100,plain,
( e2 = op(e3,e0)
| ~ spl30_118 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f170,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2997,plain,
( ~ spl30_84
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f2994,f1098,f817]) ).
fof(f817,plain,
( spl30_84
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_84])]) ).
fof(f2994,plain,
( e2 != op(e1,e0)
| ~ spl30_118 ),
inference(backward_demodulation,[],[f177,f1100]) ).
fof(f177,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2991,plain,
( ~ spl30_14
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f2990,f799,f490]) ).
fof(f490,plain,
( spl30_14
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_14])]) ).
fof(f799,plain,
( spl30_80
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_80])]) ).
fof(f2990,plain,
( e0 != op(e3,e0)
| ~ spl30_80 ),
inference(backward_demodulation,[],[f189,f801]) ).
fof(f801,plain,
( e0 = op(e2,e0)
| ~ spl30_80 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f189,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2986,plain,
( ~ spl30_81
| ~ spl30_67 ),
inference(avatar_split_clause,[],[f2985,f737,f803]) ).
fof(f803,plain,
( spl30_81
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_81])]) ).
fof(f2985,plain,
( e1 != op(e2,e0)
| ~ spl30_67 ),
inference(backward_demodulation,[],[f163,f739]) ).
fof(f739,plain,
( e1 = op(e2,e1)
| ~ spl30_67 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f163,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2983,plain,
( ~ spl30_77
| ~ spl30_57 ),
inference(avatar_split_clause,[],[f2982,f681,f785]) ).
fof(f785,plain,
( spl30_77
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_77])]) ).
fof(f681,plain,
( spl30_57
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_57])]) ).
fof(f2982,plain,
( e0 != op(e0,e3)
| ~ spl30_57 ),
inference(forward_demodulation,[],[f181,f683]) ).
fof(f683,plain,
( e0 = op(e0,e1)
| ~ spl30_57 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f181,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2979,plain,
( ~ spl30_90
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f2978,f612,f849]) ).
fof(f849,plain,
( spl30_90
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_90])]) ).
fof(f2978,plain,
( e2 != op(e2,e2)
| ~ spl30_42 ),
inference(backward_demodulation,[],[f167,f613]) ).
fof(f167,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2976,plain,
( ~ spl30_41
| ~ spl30_46
| spl30_108 ),
inference(avatar_split_clause,[],[f2971,f982,f630,f608]) ).
fof(f630,plain,
( spl30_46
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_46])]) ).
fof(f982,plain,
( spl30_108
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_108])]) ).
fof(f2971,plain,
( e3 != op(e2,e2)
| ~ spl30_46
| spl30_108 ),
inference(backward_demodulation,[],[f984,f631]) ).
fof(f631,plain,
( e2 = op(e1,e1)
| ~ spl30_46 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f984,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl30_108 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f2975,plain,
( ~ spl30_49
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f2969,f630,f645]) ).
fof(f2969,plain,
( e2 != op(e3,e1)
| ~ spl30_46 ),
inference(backward_demodulation,[],[f183,f631]) ).
fof(f183,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2950,plain,
( ~ spl30_84
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f2949,f442,f817]) ).
fof(f2949,plain,
( e2 != op(e1,e0)
| ~ spl30_3 ),
inference(forward_demodulation,[],[f153,f443]) ).
fof(f153,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2936,plain,
( ~ spl30_82
| ~ spl30_3
| spl30_111 ),
inference(avatar_split_clause,[],[f2935,f1009,f442,f808]) ).
fof(f808,plain,
( spl30_82
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_82])]) ).
fof(f1009,plain,
( spl30_111
<=> e1 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_111])]) ).
fof(f2935,plain,
( e1 != op(e0,e2)
| ~ spl30_3
| spl30_111 ),
inference(forward_demodulation,[],[f1011,f443]) ).
fof(f1011,plain,
( e1 != op(e0,op(e0,e0))
| spl30_111 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f2921,plain,
( ~ spl30_64
| ~ spl30_74 ),
inference(avatar_split_clause,[],[f2920,f772,f713]) ).
fof(f713,plain,
( spl30_64
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_64])]) ).
fof(f2920,plain,
( op(e0,e0) != e3
| ~ spl30_74 ),
inference(backward_demodulation,[],[f159,f774]) ).
fof(f159,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2913,plain,
( ~ spl30_82
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f2910,f1029,f808]) ).
fof(f1029,plain,
( spl30_113
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_113])]) ).
fof(f2910,plain,
( e1 != op(e0,e2)
| ~ spl30_113 ),
inference(backward_demodulation,[],[f191,f1031]) ).
fof(f1031,plain,
( e1 = op(e0,e1)
| ~ spl30_113 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f191,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2912,plain,
( ~ spl30_40
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f2911,f1029,f603]) ).
fof(f2911,plain,
( e1 != op(e1,e1)
| ~ spl30_113 ),
inference(backward_demodulation,[],[f160,f1031]) ).
fof(f160,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2906,plain,
( ~ spl30_83
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f2903,f849,f812]) ).
fof(f812,plain,
( spl30_83
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_83])]) ).
fof(f2903,plain,
( e2 != op(e0,e2)
| ~ spl30_90 ),
inference(backward_demodulation,[],[f158,f851]) ).
fof(f851,plain,
( e2 = op(e2,e2)
| ~ spl30_90 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f158,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2902,plain,
( ~ spl30_42
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f2859,f757,f612]) ).
fof(f757,plain,
( spl30_71
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_71])]) ).
fof(f2859,plain,
( e2 != op(e2,e3)
| ~ spl30_71 ),
inference(forward_demodulation,[],[f185,f758]) ).
fof(f758,plain,
( e2 = op(e3,e3)
| ~ spl30_71 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f185,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2901,plain,
( ~ spl30_98
| ~ spl30_109 ),
inference(avatar_split_clause,[],[f2900,f998,f921]) ).
fof(f921,plain,
( spl30_98
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_98])]) ).
fof(f998,plain,
( spl30_109
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_109])]) ).
fof(f2900,plain,
( e3 != op(e1,e3)
| ~ spl30_109 ),
inference(forward_demodulation,[],[f172,f1000]) ).
fof(f1000,plain,
( e3 = op(e2,e3)
| ~ spl30_109 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f172,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2899,plain,
( ~ spl30_82
| ~ spl30_26 ),
inference(avatar_split_clause,[],[f2898,f539,f808]) ).
fof(f2898,plain,
( e1 != op(e0,e2)
| ~ spl30_26 ),
inference(backward_demodulation,[],[f171,f541]) ).
fof(f171,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2892,plain,
( ~ spl30_49
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f2861,f757,f645]) ).
fof(f2861,plain,
( e2 != op(e3,e1)
| ~ spl30_71 ),
inference(forward_demodulation,[],[f198,f758]) ).
fof(f198,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2885,plain,
( ~ spl30_27
| ~ spl30_71
| spl30_97 ),
inference(avatar_split_clause,[],[f2852,f914,f757,f543]) ).
fof(f543,plain,
( spl30_27
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_27])]) ).
fof(f914,plain,
( spl30_97
<=> e0 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_97])]) ).
fof(f2852,plain,
( e0 != op(e3,e2)
| ~ spl30_71
| spl30_97 ),
inference(forward_demodulation,[],[f916,f758]) ).
fof(f916,plain,
( e0 != op(e3,op(e3,e3))
| spl30_97 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f2884,plain,
( ~ spl30_54
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f2764,f940,f667]) ).
fof(f940,plain,
( spl30_102
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_102])]) ).
fof(f2764,plain,
( e0 != op(e1,e1)
| ~ spl30_102 ),
inference(forward_demodulation,[],[f161,f942]) ).
fof(f942,plain,
( e0 = op(e2,e1)
| ~ spl30_102 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f161,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2883,plain,
( ~ spl30_14
| ~ spl30_31 ),
inference(avatar_contradiction_clause,[],[f2882]) ).
fof(f2882,plain,
( $false
| ~ spl30_14
| ~ spl30_31 ),
inference(subsumption_resolution,[],[f2881,f401]) ).
fof(f401,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2881,plain,
( e0 = e3
| ~ spl30_14
| ~ spl30_31 ),
inference(forward_demodulation,[],[f562,f492]) ).
fof(f492,plain,
( e0 = op(e3,e0)
| ~ spl30_14 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f2874,plain,
( ~ spl30_64
| ~ spl30_100 ),
inference(avatar_contradiction_clause,[],[f2873]) ).
fof(f2873,plain,
( $false
| ~ spl30_64
| ~ spl30_100 ),
inference(subsumption_resolution,[],[f2872,f714]) ).
fof(f714,plain,
( op(e0,e0) = e3
| ~ spl30_64 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f2872,plain,
( op(e0,e0) != e3
| ~ spl30_100 ),
inference(forward_demodulation,[],[f153,f931]) ).
fof(f931,plain,
( e3 = op(e1,e0)
| ~ spl30_100 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl30_100
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_100])]) ).
fof(f2850,plain,
( ~ spl30_56
| ~ spl30_82 ),
inference(avatar_split_clause,[],[f2849,f808,f677]) ).
fof(f677,plain,
( spl30_56
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_56])]) ).
fof(f2849,plain,
( op(e0,e0) != e1
| ~ spl30_82 ),
inference(forward_demodulation,[],[f159,f810]) ).
fof(f810,plain,
( e1 = op(e0,e2)
| ~ spl30_82 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f2841,plain,
( ~ spl30_117
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f2707,f757,f1080]) ).
fof(f2707,plain,
( e2 != op(e0,e3)
| ~ spl30_71 ),
inference(forward_demodulation,[],[f187,f758]) ).
fof(f2837,plain,
( ~ spl30_75
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f2836,f713,f776]) ).
fof(f776,plain,
( spl30_75
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_75])]) ).
fof(f2836,plain,
( e3 != op(e0,e1)
| ~ spl30_64 ),
inference(forward_demodulation,[],[f156,f714]) ).
fof(f156,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2834,plain,
( ~ spl30_6
| ~ spl30_69 ),
inference(avatar_split_clause,[],[f2830,f747,f456]) ).
fof(f456,plain,
( spl30_6
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_6])]) ).
fof(f747,plain,
( spl30_69
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_69])]) ).
fof(f2830,plain,
( e1 != op(e1,e3)
| ~ spl30_69 ),
inference(backward_demodulation,[],[f172,f749]) ).
fof(f749,plain,
( e1 = op(e2,e3)
| ~ spl30_69 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f2828,plain,
( ~ spl30_98
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f2827,f929,f921]) ).
fof(f2827,plain,
( e3 != op(e1,e3)
| ~ spl30_100 ),
inference(forward_demodulation,[],[f168,f931]) ).
fof(f168,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2824,plain,
( ~ spl30_14
| ~ spl30_107 ),
inference(avatar_contradiction_clause,[],[f2823]) ).
fof(f2823,plain,
( $false
| ~ spl30_14
| ~ spl30_107 ),
inference(subsumption_resolution,[],[f2822,f404]) ).
fof(f2822,plain,
( e0 = e1
| ~ spl30_14
| ~ spl30_107 ),
inference(forward_demodulation,[],[f977,f492]) ).
fof(f977,plain,
( e1 = op(e3,e0)
| ~ spl30_107 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f975,plain,
( spl30_107
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_107])]) ).
fof(f2820,plain,
( ~ spl30_86
| ~ spl30_85 ),
inference(avatar_split_clause,[],[f2819,f821,f825]) ).
fof(f825,plain,
( spl30_86
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_86])]) ).
fof(f821,plain,
( spl30_85
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_85])]) ).
fof(f2819,plain,
( e2 != op(e1,e3)
| ~ spl30_85 ),
inference(forward_demodulation,[],[f174,f823]) ).
fof(f823,plain,
( e2 = op(e1,e2)
| ~ spl30_85 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f174,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2816,plain,
( ~ spl30_79
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f2815,f713,f795]) ).
fof(f795,plain,
( spl30_79
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_79])]) ).
fof(f2815,plain,
( e3 != op(e2,e0)
| ~ spl30_64 ),
inference(forward_demodulation,[],[f199,f714]) ).
fof(f199,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2810,plain,
( ~ spl30_76
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f2809,f713,f780]) ).
fof(f780,plain,
( spl30_76
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_76])]) ).
fof(f2809,plain,
( e3 != op(e0,e3)
| ~ spl30_64 ),
inference(forward_demodulation,[],[f175,f714]) ).
fof(f175,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2793,plain,
( ~ spl30_29
| ~ spl30_9 ),
inference(avatar_split_clause,[],[f2792,f469,f551]) ).
fof(f551,plain,
( spl30_29
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_29])]) ).
fof(f469,plain,
( spl30_9
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_9])]) ).
fof(f2792,plain,
( e3 != op(e3,e2)
| ~ spl30_9 ),
inference(backward_demodulation,[],[f196,f471]) ).
fof(f471,plain,
( e3 = op(e3,e1)
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f196,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2790,plain,
( ~ spl30_40
| ~ spl30_54 ),
inference(avatar_contradiction_clause,[],[f2789]) ).
fof(f2789,plain,
( $false
| ~ spl30_40
| ~ spl30_54 ),
inference(subsumption_resolution,[],[f2788,f404]) ).
fof(f2788,plain,
( e0 = e1
| ~ spl30_40
| ~ spl30_54 ),
inference(forward_demodulation,[],[f605,f668]) ).
fof(f605,plain,
( e1 = op(e1,e1)
| ~ spl30_40 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f2787,plain,
( ~ spl30_84
| spl30_34
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f2786,f667,f574,f817]) ).
fof(f574,plain,
( spl30_34
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_34])]) ).
fof(f2786,plain,
( e2 != op(e1,e0)
| spl30_34
| ~ spl30_54 ),
inference(forward_demodulation,[],[f576,f668]) ).
fof(f576,plain,
( e2 != op(e1,op(e1,e1))
| spl30_34 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f2783,plain,
( ~ spl30_79
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f2782,f929,f795]) ).
fof(f2782,plain,
( e3 != op(e2,e0)
| ~ spl30_100 ),
inference(backward_demodulation,[],[f186,f931]) ).
fof(f186,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2781,plain,
( ~ spl30_27
| ~ spl30_14 ),
inference(avatar_split_clause,[],[f2780,f490,f543]) ).
fof(f2780,plain,
( e0 != op(e3,e2)
| ~ spl30_14 ),
inference(forward_demodulation,[],[f195,f492]) ).
fof(f195,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2778,plain,
( ~ spl30_50
| ~ spl30_14 ),
inference(avatar_split_clause,[],[f2777,f490,f649]) ).
fof(f649,plain,
( spl30_50
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_50])]) ).
fof(f2777,plain,
( e0 != op(e3,e1)
| ~ spl30_14 ),
inference(forward_demodulation,[],[f170,f492]) ).
fof(f2775,plain,
( ~ spl30_64
| ~ spl30_54
| spl30_108 ),
inference(avatar_split_clause,[],[f2711,f982,f667,f713]) ).
fof(f2711,plain,
( op(e0,e0) != e3
| ~ spl30_54
| spl30_108 ),
inference(forward_demodulation,[],[f984,f668]) ).
fof(f2774,plain,
( ~ spl30_50
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f2773,f940,f649]) ).
fof(f2773,plain,
( e0 != op(e3,e1)
| ~ spl30_102 ),
inference(forward_demodulation,[],[f192,f942]) ).
fof(f2772,plain,
( ~ spl30_50
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f2771,f667,f649]) ).
fof(f2771,plain,
( e0 != op(e3,e1)
| ~ spl30_54 ),
inference(forward_demodulation,[],[f183,f668]) ).
fof(f2770,plain,
( ~ spl30_93
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f2769,f667,f877]) ).
fof(f877,plain,
( spl30_93
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_93])]) ).
fof(f2769,plain,
( e0 != op(e1,e3)
| ~ spl30_54 ),
inference(forward_demodulation,[],[f184,f668]) ).
fof(f184,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2768,plain,
( ~ spl30_29
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f2767,f608,f551]) ).
fof(f2767,plain,
( e3 != op(e3,e2)
| ~ spl30_41 ),
inference(backward_demodulation,[],[f182,f609]) ).
fof(f182,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2735,plain,
( ~ spl30_84
| ~ spl30_100 ),
inference(avatar_contradiction_clause,[],[f2734]) ).
fof(f2734,plain,
( $false
| ~ spl30_84
| ~ spl30_100 ),
inference(subsumption_resolution,[],[f2733,f406]) ).
fof(f406,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2733,plain,
( e2 = e3
| ~ spl30_84
| ~ spl30_100 ),
inference(backward_demodulation,[],[f931,f819]) ).
fof(f819,plain,
( e2 = op(e1,e0)
| ~ spl30_84 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2725,plain,
( ~ spl30_82
| ~ spl30_70 ),
inference(avatar_split_clause,[],[f2724,f751,f808]) ).
fof(f2724,plain,
( e1 != op(e0,e2)
| ~ spl30_70 ),
inference(forward_demodulation,[],[f154,f753]) ).
fof(f154,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2723,plain,
( ~ spl30_82
| ~ spl30_47 ),
inference(avatar_split_clause,[],[f2722,f634,f808]) ).
fof(f2722,plain,
( e1 != op(e0,e2)
| ~ spl30_47 ),
inference(backward_demodulation,[],[f157,f636]) ).
fof(f636,plain,
( e1 = op(e1,e2)
| ~ spl30_47 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f157,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2719,plain,
( spl30_53
| ~ spl30_54
| ~ spl30_100 ),
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2718,plain,
( $false
| spl30_53
| ~ spl30_54
| ~ spl30_100 ),
inference(subsumption_resolution,[],[f2717,f931]) ).
fof(f2717,plain,
( e3 != op(e1,e0)
| spl30_53
| ~ spl30_54 ),
inference(forward_demodulation,[],[f665,f668]) ).
fof(f665,plain,
( e3 != op(e1,op(e1,e1))
| spl30_53 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl30_53
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_53])]) ).
fof(f2710,plain,
( ~ spl30_95
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f2709,f767,f904]) ).
fof(f904,plain,
( spl30_95
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_95])]) ).
fof(f2709,plain,
( e2 != op(e0,e1)
| ~ spl30_73 ),
inference(forward_demodulation,[],[f190,f768]) ).
fof(f768,plain,
( e2 = op(e2,e1)
| ~ spl30_73 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f190,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2702,plain,
( ~ spl30_52
| ~ spl30_65 ),
inference(avatar_contradiction_clause,[],[f2701]) ).
fof(f2701,plain,
( $false
| ~ spl30_52
| ~ spl30_65 ),
inference(subsumption_resolution,[],[f2700,f404]) ).
fof(f2700,plain,
( e0 = e1
| ~ spl30_52
| ~ spl30_65 ),
inference(forward_demodulation,[],[f2699,f660]) ).
fof(f660,plain,
( e0 = op(e0,e0)
| ~ spl30_52 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl30_52
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_52])]) ).
fof(f2699,plain,
( op(e0,e0) = e1
| ~ spl30_52
| ~ spl30_65 ),
inference(forward_demodulation,[],[f718,f660]) ).
fof(f718,plain,
( e1 = op(op(e0,e0),op(e0,e0))
| ~ spl30_65 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f2698,plain,
( ~ spl30_113
| ~ spl30_70 ),
inference(avatar_split_clause,[],[f2697,f751,f1029]) ).
fof(f2697,plain,
( e1 != op(e0,e1)
| ~ spl30_70 ),
inference(forward_demodulation,[],[f181,f753]) ).
fof(f2686,plain,
( ~ spl30_31
| ~ spl30_29 ),
inference(avatar_split_clause,[],[f2685,f551,f561]) ).
fof(f2685,plain,
( e3 != op(e3,e0)
| ~ spl30_29 ),
inference(forward_demodulation,[],[f195,f553]) ).
fof(f553,plain,
( e3 = op(e3,e2)
| ~ spl30_29 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f2684,plain,
( ~ spl30_86
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f2683,f757,f825]) ).
fof(f2683,plain,
( e2 != op(e1,e3)
| ~ spl30_71 ),
inference(forward_demodulation,[],[f162,f758]) ).
fof(f162,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2680,plain,
( ~ spl30_6
| ~ spl30_70 ),
inference(avatar_split_clause,[],[f2679,f751,f456]) ).
fof(f2679,plain,
( e1 != op(e1,e3)
| ~ spl30_70 ),
inference(backward_demodulation,[],[f165,f753]) ).
fof(f165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2678,plain,
( ~ spl30_14
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f2677,f658,f490]) ).
fof(f2677,plain,
( e0 != op(e3,e0)
| ~ spl30_52 ),
inference(forward_demodulation,[],[f169,f660]) ).
fof(f2674,plain,
( ~ spl30_50
| ~ spl30_51 ),
inference(avatar_contradiction_clause,[],[f2673]) ).
fof(f2673,plain,
( $false
| ~ spl30_50
| ~ spl30_51 ),
inference(subsumption_resolution,[],[f2672,f404]) ).
fof(f2672,plain,
( e0 = e1
| ~ spl30_50
| ~ spl30_51 ),
inference(forward_demodulation,[],[f655,f651]) ).
fof(f651,plain,
( e0 = op(e3,e1)
| ~ spl30_50 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f655,plain,
( e1 = op(e3,e1)
| ~ spl30_51 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl30_51
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_51])]) ).
fof(f2635,plain,
( ~ spl30_5
| ~ spl30_6 ),
inference(avatar_contradiction_clause,[],[f2634]) ).
fof(f2634,plain,
( $false
| ~ spl30_5
| ~ spl30_6 ),
inference(subsumption_resolution,[],[f2633,f458]) ).
fof(f458,plain,
( e1 = op(e1,e3)
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f2633,plain,
( e1 != op(e1,e3)
| ~ spl30_5 ),
inference(forward_demodulation,[],[f162,f453]) ).
fof(f2613,plain,
( ~ spl30_77
| ~ spl30_117 ),
inference(avatar_contradiction_clause,[],[f2612]) ).
fof(f2612,plain,
( $false
| ~ spl30_77
| ~ spl30_117 ),
inference(subsumption_resolution,[],[f2611,f402]) ).
fof(f402,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2611,plain,
( e0 = e2
| ~ spl30_77
| ~ spl30_117 ),
inference(forward_demodulation,[],[f1082,f787]) ).
fof(f787,plain,
( e0 = op(e0,e3)
| ~ spl30_77 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f1082,plain,
( e2 = op(e0,e3)
| ~ spl30_117 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f2601,plain,
( ~ spl30_46
| ~ spl30_5
| spl30_96 ),
inference(avatar_split_clause,[],[f2599,f910,f451,f630]) ).
fof(f910,plain,
( spl30_96
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_96])]) ).
fof(f2599,plain,
( e2 != op(e1,e1)
| ~ spl30_5
| spl30_96 ),
inference(backward_demodulation,[],[f912,f453]) ).
fof(f912,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| spl30_96 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f2595,plain,
( ~ spl30_64
| ~ spl30_60
| spl30_61 ),
inference(avatar_split_clause,[],[f2594,f698,f694,f713]) ).
fof(f694,plain,
( spl30_60
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_60])]) ).
fof(f698,plain,
( spl30_61
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_61])]) ).
fof(f2594,plain,
( op(e0,e0) != e3
| ~ spl30_60
| spl30_61 ),
inference(forward_demodulation,[],[f700,f695]) ).
fof(f695,plain,
( e0 = op(e2,e2)
| ~ spl30_60 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f700,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| spl30_61 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f2592,plain,
( ~ spl30_67
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f2591,f1029,f737]) ).
fof(f2591,plain,
( e1 != op(e2,e1)
| ~ spl30_113 ),
inference(forward_demodulation,[],[f190,f1031]) ).
fof(f2588,plain,
( ~ spl30_56
| ~ spl30_113 ),
inference(avatar_split_clause,[],[f2586,f1029,f677]) ).
fof(f2586,plain,
( op(e0,e0) != e1
| ~ spl30_113 ),
inference(backward_demodulation,[],[f156,f1031]) ).
fof(f2583,plain,
( ~ spl30_56
| ~ spl30_81 ),
inference(avatar_split_clause,[],[f2581,f803,f677]) ).
fof(f2581,plain,
( op(e0,e0) != e1
| ~ spl30_81 ),
inference(backward_demodulation,[],[f199,f805]) ).
fof(f805,plain,
( e1 = op(e2,e0)
| ~ spl30_81 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f2579,plain,
( ~ spl30_93
| ~ spl30_7
| spl30_39 ),
inference(avatar_split_clause,[],[f2578,f598,f460,f877]) ).
fof(f460,plain,
( spl30_7
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_7])]) ).
fof(f598,plain,
( spl30_39
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_39])]) ).
fof(f2578,plain,
( e0 != op(e1,e3)
| ~ spl30_7
| spl30_39 ),
inference(forward_demodulation,[],[f600,f461]) ).
fof(f461,plain,
( e3 = op(e1,e1)
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f600,plain,
( e0 != op(e1,op(e1,e1))
| spl30_39 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f2572,plain,
( ~ spl30_52
| ~ spl30_110 ),
inference(avatar_contradiction_clause,[],[f2571]) ).
fof(f2571,plain,
( $false
| ~ spl30_52
| ~ spl30_110 ),
inference(subsumption_resolution,[],[f2570,f402]) ).
fof(f2570,plain,
( e0 = e2
| ~ spl30_52
| ~ spl30_110 ),
inference(forward_demodulation,[],[f2566,f660]) ).
fof(f2566,plain,
( op(e0,e0) = e2
| ~ spl30_52
| ~ spl30_110 ),
inference(backward_demodulation,[],[f1006,f660]) ).
fof(f1006,plain,
( e2 = op(op(e0,e0),op(e0,e0))
| ~ spl30_110 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl30_110
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_110])]) ).
fof(f2543,plain,
( ~ spl30_29
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f2539,f831,f551]) ).
fof(f2539,plain,
( e3 != op(e3,e2)
| ~ spl30_87 ),
inference(backward_demodulation,[],[f188,f833]) ).
fof(f833,plain,
( e3 = op(e3,e3)
| ~ spl30_87 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f2537,plain,
( ~ spl30_77
| ~ spl30_93 ),
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2536,plain,
( $false
| ~ spl30_77
| ~ spl30_93 ),
inference(subsumption_resolution,[],[f2535,f787]) ).
fof(f2535,plain,
( e0 != op(e0,e3)
| ~ spl30_93 ),
inference(forward_demodulation,[],[f165,f879]) ).
fof(f879,plain,
( e0 = op(e1,e3)
| ~ spl30_93 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f2532,plain,
( ~ spl30_107
| ~ spl30_118 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2531,plain,
( $false
| ~ spl30_107
| ~ spl30_118 ),
inference(subsumption_resolution,[],[f2530,f405]) ).
fof(f405,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2530,plain,
( e1 = e2
| ~ spl30_107
| ~ spl30_118 ),
inference(backward_demodulation,[],[f1100,f977]) ).
fof(f2528,plain,
( ~ spl30_99
| ~ spl30_46
| spl30_53 ),
inference(avatar_split_clause,[],[f2450,f663,f630,f925]) ).
fof(f925,plain,
( spl30_99
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_99])]) ).
fof(f2450,plain,
( e3 != op(e1,e2)
| ~ spl30_46
| spl30_53 ),
inference(forward_demodulation,[],[f665,f631]) ).
fof(f2525,plain,
( ~ spl30_28
| ~ spl30_83 ),
inference(avatar_split_clause,[],[f2524,f812,f547]) ).
fof(f547,plain,
( spl30_28
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_28])]) ).
fof(f2524,plain,
( e2 != op(e3,e2)
| ~ spl30_83 ),
inference(forward_demodulation,[],[f171,f814]) ).
fof(f814,plain,
( e2 = op(e0,e2)
| ~ spl30_83 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f2522,plain,
( ~ spl30_99
| ~ spl30_100 ),
inference(avatar_split_clause,[],[f2520,f929,f925]) ).
fof(f2520,plain,
( e3 != op(e1,e2)
| ~ spl30_100 ),
inference(backward_demodulation,[],[f193,f931]) ).
fof(f193,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2517,plain,
( ~ spl30_52
| ~ spl30_77 ),
inference(avatar_split_clause,[],[f2443,f785,f658]) ).
fof(f2443,plain,
( e0 != op(e0,e0)
| ~ spl30_77 ),
inference(forward_demodulation,[],[f175,f787]) ).
fof(f2509,plain,
( ~ spl30_36
| ~ spl30_93 ),
inference(avatar_split_clause,[],[f2508,f877,f584]) ).
fof(f584,plain,
( spl30_36
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_36])]) ).
fof(f2508,plain,
( e0 != op(e1,e0)
| ~ spl30_93 ),
inference(forward_demodulation,[],[f168,f879]) ).
fof(f2502,plain,
( ~ spl30_70
| ~ spl30_77 ),
inference(avatar_contradiction_clause,[],[f2501]) ).
fof(f2501,plain,
( $false
| ~ spl30_70
| ~ spl30_77 ),
inference(subsumption_resolution,[],[f2500,f404]) ).
fof(f2500,plain,
( e0 = e1
| ~ spl30_70
| ~ spl30_77 ),
inference(forward_demodulation,[],[f753,f787]) ).
fof(f2497,plain,
( ~ spl30_28
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f2496,f1098,f547]) ).
fof(f2496,plain,
( e2 != op(e3,e2)
| ~ spl30_118 ),
inference(forward_demodulation,[],[f195,f1100]) ).
fof(f2495,plain,
( ~ spl30_71
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f2494,f1098,f757]) ).
fof(f2494,plain,
( e2 != op(e3,e3)
| ~ spl30_118 ),
inference(forward_demodulation,[],[f155,f1100]) ).
fof(f2492,plain,
( ~ spl30_37
| ~ spl30_118 ),
inference(avatar_split_clause,[],[f2491,f1098,f589]) ).
fof(f589,plain,
( spl30_37
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_37])]) ).
fof(f2491,plain,
( e2 != op(e2,e0)
| ~ spl30_118 ),
inference(forward_demodulation,[],[f189,f1100]) ).
fof(f2449,plain,
( ~ spl30_105
| ~ spl30_75 ),
inference(avatar_split_clause,[],[f2448,f776,f960]) ).
fof(f2448,plain,
( e3 != op(e2,e1)
| ~ spl30_75 ),
inference(forward_demodulation,[],[f190,f778]) ).
fof(f778,plain,
( e3 = op(e0,e1)
| ~ spl30_75 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f2432,plain,
( ~ spl30_60
| ~ spl30_71
| spl30_112 ),
inference(avatar_split_clause,[],[f2428,f1016,f757,f694]) ).
fof(f2428,plain,
( e0 != op(e2,e2)
| ~ spl30_71
| spl30_112 ),
inference(backward_demodulation,[],[f1018,f758]) ).
fof(f2431,plain,
( ~ spl30_28
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f2426,f757,f547]) ).
fof(f2426,plain,
( e2 != op(e3,e2)
| ~ spl30_71 ),
inference(backward_demodulation,[],[f188,f758]) ).
fof(f2430,plain,
( spl30_26
| ~ spl30_71
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f2429,f1061,f757,f539]) ).
fof(f1061,plain,
( spl30_116
<=> e1 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_116])]) ).
fof(f2429,plain,
( e1 = op(e3,e2)
| ~ spl30_71
| ~ spl30_116 ),
inference(backward_demodulation,[],[f1062,f758]) ).
fof(f1062,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl30_116 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f2416,plain,
( ~ spl30_90
| ~ spl30_37 ),
inference(avatar_split_clause,[],[f2415,f589,f849]) ).
fof(f2415,plain,
( e2 != op(e2,e2)
| ~ spl30_37 ),
inference(forward_demodulation,[],[f164,f591]) ).
fof(f591,plain,
( e2 = op(e2,e0)
| ~ spl30_37 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f164,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2410,plain,
( ~ spl30_27
| ~ spl30_50 ),
inference(avatar_split_clause,[],[f2409,f649,f543]) ).
fof(f2409,plain,
( e0 != op(e3,e2)
| ~ spl30_50 ),
inference(forward_demodulation,[],[f196,f651]) ).
fof(f2404,plain,
( ~ spl30_74
| ~ spl30_75 ),
inference(avatar_split_clause,[],[f2403,f776,f772]) ).
fof(f2403,plain,
( e3 != op(e0,e2)
| ~ spl30_75 ),
inference(forward_demodulation,[],[f191,f778]) ).
fof(f2402,plain,
( ~ spl30_75
| ~ spl30_56
| spl30_115 ),
inference(avatar_split_clause,[],[f2401,f1044,f677,f776]) ).
fof(f2401,plain,
( e3 != op(e0,e1)
| ~ spl30_56
| spl30_115 ),
inference(forward_demodulation,[],[f1046,f678]) ).
fof(f678,plain,
( op(e0,e0) = e1
| ~ spl30_56 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f2392,plain,
( ~ spl30_46
| ~ spl30_56
| spl30_110 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2391,plain,
( $false
| ~ spl30_46
| ~ spl30_56
| spl30_110 ),
inference(subsumption_resolution,[],[f2388,f631]) ).
fof(f2388,plain,
( e2 != op(e1,e1)
| ~ spl30_56
| spl30_110 ),
inference(backward_demodulation,[],[f1007,f678]) ).
fof(f1007,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| spl30_110 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f2372,plain,
( ~ spl30_74
| ~ spl30_99 ),
inference(avatar_contradiction_clause,[],[f2371]) ).
fof(f2371,plain,
( $false
| ~ spl30_74
| ~ spl30_99 ),
inference(subsumption_resolution,[],[f2370,f774]) ).
fof(f2370,plain,
( e3 != op(e0,e2)
| ~ spl30_99 ),
inference(forward_demodulation,[],[f157,f927]) ).
fof(f927,plain,
( e3 = op(e1,e2)
| ~ spl30_99 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f2365,plain,
( ~ spl30_79
| ~ spl30_105 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2364,plain,
( $false
| ~ spl30_79
| ~ spl30_105 ),
inference(subsumption_resolution,[],[f2226,f797]) ).
fof(f797,plain,
( e3 = op(e2,e0)
| ~ spl30_79 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f2226,plain,
( e3 != op(e2,e0)
| ~ spl30_105 ),
inference(forward_demodulation,[],[f163,f962]) ).
fof(f2361,plain,
( ~ spl30_107
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f2360,f653,f975]) ).
fof(f2360,plain,
( e1 != op(e3,e0)
| ~ spl30_51 ),
inference(forward_demodulation,[],[f170,f655]) ).
fof(f2347,plain,
( ~ spl30_40
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f2346,f653,f603]) ).
fof(f2346,plain,
( e1 != op(e1,e1)
| ~ spl30_51 ),
inference(forward_demodulation,[],[f183,f655]) ).
fof(f2331,plain,
( ~ spl30_98
| ~ spl30_99 ),
inference(avatar_split_clause,[],[f2330,f925,f921]) ).
fof(f2330,plain,
( e3 != op(e1,e3)
| ~ spl30_99 ),
inference(backward_demodulation,[],[f174,f927]) ).
fof(f2326,plain,
( ~ spl30_98
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f2323,f831,f921]) ).
fof(f2323,plain,
( e3 != op(e1,e3)
| ~ spl30_87 ),
inference(backward_demodulation,[],[f162,f833]) ).
fof(f2325,plain,
( spl30_5
| ~ spl30_87
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f2324,f1061,f831,f451]) ).
fof(f2324,plain,
( e1 = op(e3,e3)
| ~ spl30_87
| ~ spl30_116 ),
inference(backward_demodulation,[],[f1062,f833]) ).
fof(f2318,plain,
( ~ spl30_109
| ~ spl30_79 ),
inference(avatar_split_clause,[],[f2317,f795,f998]) ).
fof(f2317,plain,
( e3 != op(e2,e3)
| ~ spl30_79 ),
inference(forward_demodulation,[],[f173,f797]) ).
fof(f173,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2296,plain,
( ~ spl30_81
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f2295,f621,f803]) ).
fof(f2295,plain,
( e1 != op(e2,e0)
| ~ spl30_44 ),
inference(forward_demodulation,[],[f164,f622]) ).
fof(f2293,plain,
( ~ spl30_94
| spl30_39
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f2292,f630,f598,f881]) ).
fof(f881,plain,
( spl30_94
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_94])]) ).
fof(f2292,plain,
( e0 != op(e1,e2)
| spl30_39
| ~ spl30_46 ),
inference(forward_demodulation,[],[f600,f631]) ).
fof(f2288,plain,
( ~ spl30_44
| ~ spl30_90 ),
inference(avatar_contradiction_clause,[],[f2287]) ).
fof(f2287,plain,
( $false
| ~ spl30_44
| ~ spl30_90 ),
inference(subsumption_resolution,[],[f2286,f405]) ).
fof(f2286,plain,
( e1 = e2
| ~ spl30_44
| ~ spl30_90 ),
inference(backward_demodulation,[],[f851,f622]) ).
fof(f2285,plain,
( ~ spl30_5
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f2283,f653,f451]) ).
fof(f2283,plain,
( e1 != op(e3,e3)
| ~ spl30_51 ),
inference(backward_demodulation,[],[f198,f655]) ).
fof(f2260,plain,
( ~ spl30_57
| ~ spl30_95 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| ~ spl30_57
| ~ spl30_95 ),
inference(subsumption_resolution,[],[f2257,f402]) ).
fof(f2257,plain,
( e0 = e2
| ~ spl30_57
| ~ spl30_95 ),
inference(backward_demodulation,[],[f906,f683]) ).
fof(f906,plain,
( e2 = op(e0,e1)
| ~ spl30_95 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f2255,plain,
( ~ spl30_9
| ~ spl30_105 ),
inference(avatar_contradiction_clause,[],[f2254]) ).
fof(f2254,plain,
( $false
| ~ spl30_9
| ~ spl30_105 ),
inference(subsumption_resolution,[],[f2253,f962]) ).
fof(f2253,plain,
( e3 != op(e2,e1)
| ~ spl30_9 ),
inference(forward_demodulation,[],[f192,f471]) ).
fof(f2251,plain,
( ~ spl30_3
| ~ spl30_32
| spl30_96 ),
inference(avatar_split_clause,[],[f2141,f910,f565,f442]) ).
fof(f2141,plain,
( op(e0,e0) != e2
| ~ spl30_32
| spl30_96 ),
inference(forward_demodulation,[],[f912,f566]) ).
fof(f2243,plain,
( ~ spl30_69
| ~ spl30_70 ),
inference(avatar_contradiction_clause,[],[f2242]) ).
fof(f2242,plain,
( $false
| ~ spl30_69
| ~ spl30_70 ),
inference(subsumption_resolution,[],[f2241,f753]) ).
fof(f2241,plain,
( e1 != op(e0,e3)
| ~ spl30_69 ),
inference(forward_demodulation,[],[f180,f749]) ).
fof(f2222,plain,
( ~ spl30_42
| ~ spl30_69 ),
inference(avatar_contradiction_clause,[],[f2221]) ).
fof(f2221,plain,
( $false
| ~ spl30_42
| ~ spl30_69 ),
inference(subsumption_resolution,[],[f2220,f405]) ).
fof(f2220,plain,
( e1 = e2
| ~ spl30_42
| ~ spl30_69 ),
inference(backward_demodulation,[],[f613,f749]) ).
fof(f2216,plain,
( ~ spl30_49
| ~ spl30_28 ),
inference(avatar_split_clause,[],[f2215,f547,f645]) ).
fof(f2215,plain,
( e2 != op(e3,e1)
| ~ spl30_28 ),
inference(forward_demodulation,[],[f196,f549]) ).
fof(f549,plain,
( e2 = op(e3,e2)
| ~ spl30_28 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f2208,plain,
( ~ spl30_41
| ~ spl30_105 ),
inference(avatar_split_clause,[],[f2207,f960,f608]) ).
fof(f2207,plain,
( e3 != op(e2,e2)
| ~ spl30_105 ),
inference(forward_demodulation,[],[f166,f962]) ).
fof(f2203,plain,
( ~ spl30_90
| ~ spl30_28 ),
inference(avatar_split_clause,[],[f2202,f547,f849]) ).
fof(f2202,plain,
( e2 != op(e2,e2)
| ~ spl30_28 ),
inference(backward_demodulation,[],[f182,f549]) ).
fof(f2200,plain,
( ~ spl30_109
| ~ spl30_105 ),
inference(avatar_split_clause,[],[f2199,f960,f998]) ).
fof(f2199,plain,
( e3 != op(e2,e3)
| ~ spl30_105 ),
inference(backward_demodulation,[],[f194,f962]) ).
fof(f2191,plain,
( ~ spl30_37
| ~ spl30_84 ),
inference(avatar_split_clause,[],[f2190,f817,f589]) ).
fof(f2190,plain,
( e2 != op(e2,e0)
| ~ spl30_84 ),
inference(backward_demodulation,[],[f186,f819]) ).
fof(f2187,plain,
( ~ spl30_94
| ~ spl30_99 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2186,plain,
( $false
| ~ spl30_94
| ~ spl30_99 ),
inference(subsumption_resolution,[],[f2185,f401]) ).
fof(f2185,plain,
( e0 = e3
| ~ spl30_94
| ~ spl30_99 ),
inference(forward_demodulation,[],[f927,f883]) ).
fof(f883,plain,
( e0 = op(e1,e2)
| ~ spl30_94 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f2144,plain,
( ~ spl30_73
| ~ spl30_37 ),
inference(avatar_split_clause,[],[f2143,f589,f767]) ).
fof(f2143,plain,
( e2 != op(e2,e1)
| ~ spl30_37 ),
inference(forward_demodulation,[],[f163,f591]) ).
fof(f2131,plain,
( ~ spl30_32
| ~ spl30_87 ),
inference(avatar_contradiction_clause,[],[f2130]) ).
fof(f2130,plain,
( $false
| ~ spl30_32
| ~ spl30_87 ),
inference(subsumption_resolution,[],[f2129,f401]) ).
fof(f2129,plain,
( e0 = e3
| ~ spl30_32
| ~ spl30_87 ),
inference(backward_demodulation,[],[f833,f566]) ).
fof(f2126,plain,
( ~ spl30_67
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f2125,f603,f737]) ).
fof(f2125,plain,
( e1 != op(e2,e1)
| ~ spl30_40 ),
inference(forward_demodulation,[],[f161,f605]) ).
fof(f2123,plain,
( ~ spl30_27
| ~ spl30_94 ),
inference(avatar_split_clause,[],[f2122,f881,f543]) ).
fof(f2122,plain,
( e0 != op(e3,e2)
| ~ spl30_94 ),
inference(forward_demodulation,[],[f197,f883]) ).
fof(f197,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2121,plain,
( ~ spl30_109
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f2051,f831,f998]) ).
fof(f2051,plain,
( e3 != op(e2,e3)
| ~ spl30_87 ),
inference(forward_demodulation,[],[f185,f833]) ).
fof(f2102,plain,
( ~ spl30_39
| ~ spl30_40
| spl30_54 ),
inference(avatar_contradiction_clause,[],[f2101]) ).
fof(f2101,plain,
( $false
| ~ spl30_39
| ~ spl30_40
| spl30_54 ),
inference(subsumption_resolution,[],[f2098,f669]) ).
fof(f669,plain,
( e0 != op(e1,e1)
| spl30_54 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f2098,plain,
( e0 = op(e1,e1)
| ~ spl30_39
| ~ spl30_40 ),
inference(backward_demodulation,[],[f599,f605]) ).
fof(f599,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl30_39 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f2084,plain,
( ~ spl30_49
| ~ spl30_50 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2083,plain,
( $false
| ~ spl30_49
| ~ spl30_50 ),
inference(subsumption_resolution,[],[f2082,f402]) ).
fof(f2082,plain,
( e0 = e2
| ~ spl30_49
| ~ spl30_50 ),
inference(backward_demodulation,[],[f647,f651]) ).
fof(f2068,plain,
( ~ spl30_93
| ~ spl30_101 ),
inference(avatar_split_clause,[],[f2067,f936,f877]) ).
fof(f936,plain,
( spl30_101
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_101])]) ).
fof(f2067,plain,
( e0 != op(e1,e3)
| ~ spl30_101 ),
inference(forward_demodulation,[],[f172,f938]) ).
fof(f938,plain,
( e0 = op(e2,e3)
| ~ spl30_101 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2066,plain,
( ~ spl30_47
| ~ spl30_94 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2065,plain,
( $false
| ~ spl30_47
| ~ spl30_94 ),
inference(subsumption_resolution,[],[f2064,f404]) ).
fof(f2064,plain,
( e0 = e1
| ~ spl30_47
| ~ spl30_94 ),
inference(backward_demodulation,[],[f636,f883]) ).
fof(f2062,plain,
( ~ spl30_95
| ~ spl30_49 ),
inference(avatar_split_clause,[],[f2055,f645,f904]) ).
fof(f2055,plain,
( e2 != op(e0,e1)
| ~ spl30_49 ),
inference(forward_demodulation,[],[f178,f647]) ).
fof(f178,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2059,plain,
( ~ spl30_74
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f2015,f608,f772]) ).
fof(f2015,plain,
( e3 != op(e0,e2)
| ~ spl30_41 ),
inference(forward_demodulation,[],[f158,f609]) ).
fof(f2044,plain,
( ~ spl30_52
| ~ spl30_114 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2043,plain,
( $false
| ~ spl30_52
| ~ spl30_114 ),
inference(subsumption_resolution,[],[f2042,f401]) ).
fof(f2042,plain,
( e0 = e3
| ~ spl30_52
| ~ spl30_114 ),
inference(forward_demodulation,[],[f2041,f660]) ).
fof(f2041,plain,
( op(e0,e0) = e3
| ~ spl30_52
| ~ spl30_114 ),
inference(forward_demodulation,[],[f1040,f660]) ).
fof(f1040,plain,
( e3 = op(op(e0,e0),op(e0,e0))
| ~ spl30_114 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl30_114
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_114])]) ).
fof(f2031,plain,
( ~ spl30_36
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f2024,f658,f584]) ).
fof(f2024,plain,
( e0 != op(e1,e0)
| ~ spl30_52 ),
inference(backward_demodulation,[],[f153,f660]) ).
fof(f2013,plain,
( ~ spl30_101
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f2012,f940,f936]) ).
fof(f2012,plain,
( e0 != op(e2,e3)
| ~ spl30_102 ),
inference(forward_demodulation,[],[f194,f942]) ).
fof(f2011,plain,
( ~ spl30_67
| ~ spl30_102 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2010,plain,
( $false
| ~ spl30_67
| ~ spl30_102 ),
inference(subsumption_resolution,[],[f2009,f404]) ).
fof(f2009,plain,
( e0 = e1
| ~ spl30_67
| ~ spl30_102 ),
inference(forward_demodulation,[],[f739,f942]) ).
fof(f2004,plain,
( ~ spl30_86
| ~ spl30_93 ),
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2003,plain,
( $false
| ~ spl30_86
| ~ spl30_93 ),
inference(subsumption_resolution,[],[f2001,f402]) ).
fof(f2001,plain,
( e0 = e2
| ~ spl30_86
| ~ spl30_93 ),
inference(backward_demodulation,[],[f827,f879]) ).
fof(f827,plain,
( e2 = op(e1,e3)
| ~ spl30_86 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f2000,plain,
( ~ spl30_100
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f1419,f460,f929]) ).
fof(f1419,plain,
( e3 != op(e1,e0)
| ~ spl30_7 ),
inference(forward_demodulation,[],[f152,f461]) ).
fof(f152,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1996,plain,
( ~ spl30_79
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f1995,f608,f795]) ).
fof(f1995,plain,
( e3 != op(e2,e0)
| ~ spl30_41 ),
inference(forward_demodulation,[],[f164,f609]) ).
fof(f1990,plain,
( ~ spl30_81
| ~ spl30_107 ),
inference(avatar_split_clause,[],[f1989,f975,f803]) ).
fof(f1989,plain,
( e1 != op(e2,e0)
| ~ spl30_107 ),
inference(forward_demodulation,[],[f189,f977]) ).
fof(f1986,plain,
( ~ spl30_117
| ~ spl30_86 ),
inference(avatar_split_clause,[],[f1958,f825,f1080]) ).
fof(f1958,plain,
( e2 != op(e0,e3)
| ~ spl30_86 ),
inference(forward_demodulation,[],[f165,f827]) ).
fof(f1985,plain,
( ~ spl30_47
| ~ spl30_85 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
fof(f1984,plain,
( $false
| ~ spl30_47
| ~ spl30_85 ),
inference(subsumption_resolution,[],[f1983,f405]) ).
fof(f1983,plain,
( e1 = e2
| ~ spl30_47
| ~ spl30_85 ),
inference(forward_demodulation,[],[f823,f636]) ).
fof(f1981,plain,
( ~ spl30_57
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f1980,f940,f681]) ).
fof(f1980,plain,
( e0 != op(e0,e1)
| ~ spl30_102 ),
inference(forward_demodulation,[],[f190,f942]) ).
fof(f1969,plain,
( ~ spl30_49
| ~ spl30_51 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| ~ spl30_49
| ~ spl30_51 ),
inference(subsumption_resolution,[],[f1967,f405]) ).
fof(f1967,plain,
( e1 = e2
| ~ spl30_49
| ~ spl30_51 ),
inference(backward_demodulation,[],[f647,f655]) ).
fof(f1951,plain,
( ~ spl30_73
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f1950,f849,f767]) ).
fof(f1950,plain,
( e2 != op(e2,e1)
| ~ spl30_90 ),
inference(forward_demodulation,[],[f166,f851]) ).
fof(f1944,plain,
( ~ spl30_105
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f1712,f460,f960]) ).
fof(f1712,plain,
( e3 != op(e2,e1)
| ~ spl30_7 ),
inference(forward_demodulation,[],[f161,f461]) ).
fof(f1932,plain,
( ~ spl30_71
| ~ spl30_7
| spl30_38 ),
inference(avatar_split_clause,[],[f1900,f594,f460,f757]) ).
fof(f594,plain,
( spl30_38
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_38])]) ).
fof(f1900,plain,
( e2 != op(e3,e3)
| ~ spl30_7
| spl30_38 ),
inference(forward_demodulation,[],[f596,f461]) ).
fof(f596,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl30_38 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1927,plain,
( ~ spl30_31
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f1926,f713,f561]) ).
fof(f1926,plain,
( e3 != op(e3,e0)
| ~ spl30_64 ),
inference(forward_demodulation,[],[f169,f714]) ).
fof(f1924,plain,
( ~ spl30_70
| ~ spl30_117 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl30_70
| ~ spl30_117 ),
inference(subsumption_resolution,[],[f1922,f405]) ).
fof(f1922,plain,
( e1 = e2
| ~ spl30_70
| ~ spl30_117 ),
inference(forward_demodulation,[],[f1082,f753]) ).
fof(f1921,plain,
( ~ spl30_6
| ~ spl30_47 ),
inference(avatar_split_clause,[],[f1920,f634,f456]) ).
fof(f1920,plain,
( e1 != op(e1,e3)
| ~ spl30_47 ),
inference(forward_demodulation,[],[f174,f636]) ).
fof(f1905,plain,
( ~ spl30_74
| ~ spl30_83 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1904,plain,
( $false
| ~ spl30_74
| ~ spl30_83 ),
inference(subsumption_resolution,[],[f1903,f406]) ).
fof(f1903,plain,
( e2 = e3
| ~ spl30_74
| ~ spl30_83 ),
inference(forward_demodulation,[],[f774,f814]) ).
fof(f1893,plain,
( ~ spl30_5
| ~ spl30_107 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1892,plain,
( $false
| ~ spl30_5
| ~ spl30_107 ),
inference(subsumption_resolution,[],[f1891,f977]) ).
fof(f1891,plain,
( e1 != op(e3,e0)
| ~ spl30_5 ),
inference(forward_demodulation,[],[f155,f453]) ).
fof(f1874,plain,
( ~ spl30_36
| ~ spl30_84 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1873,plain,
( $false
| ~ spl30_36
| ~ spl30_84 ),
inference(subsumption_resolution,[],[f1872,f402]) ).
fof(f1872,plain,
( e0 = e2
| ~ spl30_36
| ~ spl30_84 ),
inference(forward_demodulation,[],[f819,f586]) ).
fof(f586,plain,
( e0 = op(e1,e0)
| ~ spl30_36 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f1871,plain,
( ~ spl30_5
| ~ spl30_87 ),
inference(avatar_contradiction_clause,[],[f1870]) ).
fof(f1870,plain,
( $false
| ~ spl30_5
| ~ spl30_87 ),
inference(subsumption_resolution,[],[f1869,f403]) ).
fof(f403,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f1869,plain,
( e1 = e3
| ~ spl30_5
| ~ spl30_87 ),
inference(backward_demodulation,[],[f833,f453]) ).
fof(f1859,plain,
( ~ spl30_42
| ~ spl30_101 ),
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1858,plain,
( $false
| ~ spl30_42
| ~ spl30_101 ),
inference(subsumption_resolution,[],[f1857,f402]) ).
fof(f1857,plain,
( e0 = e2
| ~ spl30_42
| ~ spl30_101 ),
inference(forward_demodulation,[],[f613,f938]) ).
fof(f1843,plain,
( ~ spl30_3
| ~ spl30_83 ),
inference(avatar_split_clause,[],[f1842,f812,f442]) ).
fof(f1842,plain,
( op(e0,e0) != e2
| ~ spl30_83 ),
inference(forward_demodulation,[],[f159,f814]) ).
fof(f1832,plain,
( ~ spl30_44
| ~ spl30_26 ),
inference(avatar_split_clause,[],[f1747,f539,f621]) ).
fof(f1747,plain,
( e1 != op(e2,e2)
| ~ spl30_26 ),
inference(forward_demodulation,[],[f182,f541]) ).
fof(f1831,plain,
( ~ spl30_9
| ~ spl30_49 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1830,plain,
( $false
| ~ spl30_9
| ~ spl30_49 ),
inference(subsumption_resolution,[],[f1829,f406]) ).
fof(f1829,plain,
( e2 = e3
| ~ spl30_9
| ~ spl30_49 ),
inference(forward_demodulation,[],[f471,f647]) ).
fof(f1810,plain,
( ~ spl30_9
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f1805,f831,f469]) ).
fof(f1805,plain,
( e3 != op(e3,e1)
| ~ spl30_87 ),
inference(backward_demodulation,[],[f198,f833]) ).
fof(f1802,plain,
( ~ spl30_87
| ~ spl30_76 ),
inference(avatar_split_clause,[],[f1801,f780,f831]) ).
fof(f1801,plain,
( e3 != op(e3,e3)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f187,f782]) ).
fof(f782,plain,
( e3 = op(e0,e3)
| ~ spl30_76 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f1800,plain,
( ~ spl30_86
| ~ spl30_98 ),
inference(avatar_contradiction_clause,[],[f1799]) ).
fof(f1799,plain,
( $false
| ~ spl30_86
| ~ spl30_98 ),
inference(subsumption_resolution,[],[f1798,f406]) ).
fof(f1798,plain,
( e2 = e3
| ~ spl30_86
| ~ spl30_98 ),
inference(backward_demodulation,[],[f923,f827]) ).
fof(f923,plain,
( e3 = op(e1,e3)
| ~ spl30_98 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f1796,plain,
( ~ spl30_69
| ~ spl30_101 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
fof(f1795,plain,
( $false
| ~ spl30_69
| ~ spl30_101 ),
inference(subsumption_resolution,[],[f1794,f404]) ).
fof(f1794,plain,
( e0 = e1
| ~ spl30_69
| ~ spl30_101 ),
inference(forward_demodulation,[],[f749,f938]) ).
fof(f1781,plain,
( ~ spl30_9
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f1780,f460,f469]) ).
fof(f1780,plain,
( e3 != op(e3,e1)
| ~ spl30_7 ),
inference(forward_demodulation,[],[f183,f461]) ).
fof(f1774,plain,
( ~ spl30_26
| ~ spl30_27 ),
inference(avatar_contradiction_clause,[],[f1773]) ).
fof(f1773,plain,
( $false
| ~ spl30_26
| ~ spl30_27 ),
inference(subsumption_resolution,[],[f1772,f404]) ).
fof(f1772,plain,
( e0 = e1
| ~ spl30_26
| ~ spl30_27 ),
inference(backward_demodulation,[],[f541,f545]) ).
fof(f545,plain,
( e0 = op(e3,e2)
| ~ spl30_27 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f1771,plain,
( ~ spl30_76
| ~ spl30_98 ),
inference(avatar_split_clause,[],[f1770,f921,f780]) ).
fof(f1770,plain,
( e3 != op(e0,e3)
| ~ spl30_98 ),
inference(forward_demodulation,[],[f165,f923]) ).
fof(f1769,plain,
( ~ spl30_7
| ~ spl30_98 ),
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1768,plain,
( $false
| ~ spl30_7
| ~ spl30_98 ),
inference(subsumption_resolution,[],[f1767,f461]) ).
fof(f1767,plain,
( e3 != op(e1,e1)
| ~ spl30_98 ),
inference(forward_demodulation,[],[f184,f923]) ).
fof(f1763,plain,
( ~ spl30_117
| ~ spl30_83 ),
inference(avatar_split_clause,[],[f1762,f812,f1080]) ).
fof(f1762,plain,
( e2 != op(e0,e3)
| ~ spl30_83 ),
inference(backward_demodulation,[],[f154,f814]) ).
fof(f1759,plain,
( ~ spl30_47
| ~ spl30_26 ),
inference(avatar_split_clause,[],[f1743,f539,f634]) ).
fof(f1743,plain,
( e1 != op(e1,e2)
| ~ spl30_26 ),
inference(forward_demodulation,[],[f197,f541]) ).
fof(f1754,plain,
( ~ spl30_9
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f1753,f561,f469]) ).
fof(f1753,plain,
( e3 != op(e3,e1)
| ~ spl30_31 ),
inference(forward_demodulation,[],[f170,f562]) ).
fof(f1752,plain,
( ~ spl30_95
| ~ spl30_56
| spl30_63 ),
inference(avatar_split_clause,[],[f1751,f709,f677,f904]) ).
fof(f709,plain,
( spl30_63
<=> e2 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_63])]) ).
fof(f1751,plain,
( e2 != op(e0,e1)
| ~ spl30_56
| spl30_63 ),
inference(forward_demodulation,[],[f711,f678]) ).
fof(f711,plain,
( e2 != op(e0,op(e0,e0))
| spl30_63 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1742,plain,
( ~ spl30_101
| ~ spl30_109 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| ~ spl30_101
| ~ spl30_109 ),
inference(subsumption_resolution,[],[f1738,f401]) ).
fof(f1738,plain,
( e0 = e3
| ~ spl30_101
| ~ spl30_109 ),
inference(backward_demodulation,[],[f1000,f938]) ).
fof(f1737,plain,
( ~ spl30_26
| ~ spl30_71
| spl30_116 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| ~ spl30_26
| ~ spl30_71
| spl30_116 ),
inference(subsumption_resolution,[],[f1498,f541]) ).
fof(f1498,plain,
( e1 != op(e3,e2)
| ~ spl30_71
| spl30_116 ),
inference(forward_demodulation,[],[f1063,f758]) ).
fof(f1063,plain,
( e1 != op(e3,op(e3,e3))
| spl30_116 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1732,plain,
( ~ spl30_1
| ~ spl30_77 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl30_1
| ~ spl30_77 ),
inference(subsumption_resolution,[],[f1629,f436]) ).
fof(f436,plain,
( e0 = op(e0,e2)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl30_1
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f1629,plain,
( e0 != op(e0,e2)
| ~ spl30_77 ),
inference(backward_demodulation,[],[f154,f787]) ).
fof(f1724,plain,
( ~ spl30_7
| ~ spl30_56
| spl30_114 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1723,plain,
( $false
| ~ spl30_7
| ~ spl30_56
| spl30_114 ),
inference(subsumption_resolution,[],[f1722,f461]) ).
fof(f1722,plain,
( e3 != op(e1,e1)
| ~ spl30_56
| spl30_114 ),
inference(forward_demodulation,[],[f1041,f678]) ).
fof(f1041,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl30_114 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1705,plain,
( ~ spl30_85
| ~ spl30_99 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1704,plain,
( $false
| ~ spl30_85
| ~ spl30_99 ),
inference(subsumption_resolution,[],[f1703,f406]) ).
fof(f1703,plain,
( e2 = e3
| ~ spl30_85
| ~ spl30_99 ),
inference(backward_demodulation,[],[f927,f823]) ).
fof(f1700,plain,
( ~ spl30_76
| ~ spl30_77 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1699,plain,
( $false
| ~ spl30_76
| ~ spl30_77 ),
inference(subsumption_resolution,[],[f1698,f401]) ).
fof(f1698,plain,
( e0 = e3
| ~ spl30_76
| ~ spl30_77 ),
inference(forward_demodulation,[],[f782,f787]) ).
fof(f1691,plain,
( ~ spl30_40
| ~ spl30_6 ),
inference(avatar_split_clause,[],[f1690,f456,f603]) ).
fof(f1690,plain,
( e1 != op(e1,e1)
| ~ spl30_6 ),
inference(forward_demodulation,[],[f184,f458]) ).
fof(f1686,plain,
( ~ spl30_107
| ~ spl30_26 ),
inference(avatar_split_clause,[],[f1683,f539,f975]) ).
fof(f1683,plain,
( e1 != op(e3,e0)
| ~ spl30_26 ),
inference(backward_demodulation,[],[f195,f541]) ).
fof(f1666,plain,
( ~ spl30_37
| ~ spl30_80 ),
inference(avatar_contradiction_clause,[],[f1665]) ).
fof(f1665,plain,
( $false
| ~ spl30_37
| ~ spl30_80 ),
inference(subsumption_resolution,[],[f1664,f402]) ).
fof(f1664,plain,
( e0 = e2
| ~ spl30_37
| ~ spl30_80 ),
inference(backward_demodulation,[],[f591,f801]) ).
fof(f1661,plain,
( ~ spl30_35
| ~ spl30_107 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| ~ spl30_35
| ~ spl30_107 ),
inference(subsumption_resolution,[],[f1659,f581]) ).
fof(f581,plain,
( e1 = op(e1,e0)
| ~ spl30_35 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f579,plain,
( spl30_35
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_35])]) ).
fof(f1659,plain,
( e1 != op(e1,e0)
| ~ spl30_107 ),
inference(forward_demodulation,[],[f177,f977]) ).
fof(f1646,plain,
( ~ spl30_5
| ~ spl30_50
| spl30_97 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
fof(f1645,plain,
( $false
| ~ spl30_5
| ~ spl30_50
| spl30_97 ),
inference(subsumption_resolution,[],[f1644,f651]) ).
fof(f1644,plain,
( e0 != op(e3,e1)
| ~ spl30_5
| spl30_97 ),
inference(forward_demodulation,[],[f916,f453]) ).
fof(f1641,plain,
( ~ spl30_80
| ~ spl30_102 ),
inference(avatar_split_clause,[],[f1482,f940,f799]) ).
fof(f1482,plain,
( e0 != op(e2,e0)
| ~ spl30_102 ),
inference(forward_demodulation,[],[f163,f942]) ).
fof(f1640,plain,
( ~ spl30_83
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f1639,f904,f812]) ).
fof(f1639,plain,
( e2 != op(e0,e2)
| ~ spl30_95 ),
inference(forward_demodulation,[],[f191,f906]) ).
fof(f1638,plain,
( ~ spl30_5
| ~ spl30_71 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1637,plain,
( $false
| ~ spl30_5
| ~ spl30_71 ),
inference(subsumption_resolution,[],[f1636,f405]) ).
fof(f1636,plain,
( e1 = e2
| ~ spl30_5
| ~ spl30_71 ),
inference(backward_demodulation,[],[f758,f453]) ).
fof(f1633,plain,
( ~ spl30_82
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f1632,f621,f808]) ).
fof(f1632,plain,
( e1 != op(e0,e2)
| ~ spl30_44 ),
inference(forward_demodulation,[],[f158,f622]) ).
fof(f1620,plain,
( ~ spl30_42
| ~ spl30_37 ),
inference(avatar_split_clause,[],[f1619,f589,f612]) ).
fof(f1619,plain,
( e2 != op(e2,e3)
| ~ spl30_37 ),
inference(forward_demodulation,[],[f173,f591]) ).
fof(f1602,plain,
( ~ spl30_44
| spl30_91
| ~ spl30_102 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl30_44
| spl30_91
| ~ spl30_102 ),
inference(subsumption_resolution,[],[f1600,f942]) ).
fof(f1600,plain,
( e0 != op(e2,e1)
| ~ spl30_44
| spl30_91 ),
inference(forward_demodulation,[],[f860,f622]) ).
fof(f860,plain,
( e0 != op(e2,op(e2,e2))
| spl30_91 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl30_91
<=> e0 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_91])]) ).
fof(f1599,plain,
( ~ spl30_86
| ~ spl30_7
| spl30_34 ),
inference(avatar_split_clause,[],[f1408,f574,f460,f825]) ).
fof(f1408,plain,
( e2 != op(e1,e3)
| ~ spl30_7
| spl30_34 ),
inference(forward_demodulation,[],[f576,f461]) ).
fof(f1597,plain,
( ~ spl30_3
| ~ spl30_37 ),
inference(avatar_split_clause,[],[f1596,f589,f442]) ).
fof(f1596,plain,
( op(e0,e0) != e2
| ~ spl30_37 ),
inference(forward_demodulation,[],[f199,f591]) ).
fof(f1581,plain,
( ~ spl30_3
| ~ spl30_95 ),
inference(avatar_split_clause,[],[f1580,f904,f442]) ).
fof(f1580,plain,
( op(e0,e0) != e2
| ~ spl30_95 ),
inference(forward_demodulation,[],[f156,f906]) ).
fof(f1578,plain,
( ~ spl30_83
| ~ spl30_85 ),
inference(avatar_split_clause,[],[f1577,f821,f812]) ).
fof(f1577,plain,
( e2 != op(e0,e2)
| ~ spl30_85 ),
inference(forward_demodulation,[],[f157,f823]) ).
fof(f1574,plain,
( ~ spl30_7
| ~ spl30_40 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| ~ spl30_7
| ~ spl30_40 ),
inference(subsumption_resolution,[],[f1572,f403]) ).
fof(f1572,plain,
( e1 = e3
| ~ spl30_7
| ~ spl30_40 ),
inference(backward_demodulation,[],[f461,f605]) ).
fof(f1567,plain,
( ~ spl30_27
| ~ spl30_29 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1566,plain,
( $false
| ~ spl30_27
| ~ spl30_29 ),
inference(subsumption_resolution,[],[f1565,f401]) ).
fof(f1565,plain,
( e0 = e3
| ~ spl30_27
| ~ spl30_29 ),
inference(backward_demodulation,[],[f553,f545]) ).
fof(f1554,plain,
( ~ spl30_41
| ~ spl30_44 ),
inference(avatar_contradiction_clause,[],[f1553]) ).
fof(f1553,plain,
( $false
| ~ spl30_41
| ~ spl30_44 ),
inference(subsumption_resolution,[],[f1552,f403]) ).
fof(f1552,plain,
( e1 = e3
| ~ spl30_41
| ~ spl30_44 ),
inference(forward_demodulation,[],[f609,f622]) ).
fof(f1549,plain,
( ~ spl30_44
| ~ spl30_71
| spl30_103 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1548,plain,
( $false
| ~ spl30_44
| ~ spl30_71
| spl30_103 ),
inference(subsumption_resolution,[],[f1547,f622]) ).
fof(f1547,plain,
( e1 != op(e2,e2)
| ~ spl30_71
| spl30_103 ),
inference(forward_demodulation,[],[f953,f758]) ).
fof(f953,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl30_103 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl30_103
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_103])]) ).
fof(f1540,plain,
( ~ spl30_7
| ~ spl30_44
| spl30_61 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1539,plain,
( $false
| ~ spl30_7
| ~ spl30_44
| spl30_61 ),
inference(subsumption_resolution,[],[f1536,f461]) ).
fof(f1536,plain,
( e3 != op(e1,e1)
| ~ spl30_44
| spl30_61 ),
inference(backward_demodulation,[],[f700,f622]) ).
fof(f1519,plain,
( ~ spl30_75
| ~ spl30_76 ),
inference(avatar_split_clause,[],[f1518,f780,f776]) ).
fof(f1518,plain,
( e3 != op(e0,e1)
| ~ spl30_76 ),
inference(forward_demodulation,[],[f181,f782]) ).
fof(f1497,plain,
( ~ spl30_32
| ~ spl30_7
| spl30_33 ),
inference(avatar_split_clause,[],[f1425,f570,f460,f565]) ).
fof(f570,plain,
( spl30_33
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_33])]) ).
fof(f1425,plain,
( e0 != op(e3,e3)
| ~ spl30_7
| spl30_33 ),
inference(forward_demodulation,[],[f572,f461]) ).
fof(f572,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl30_33 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1477,plain,
( ~ spl30_73
| ~ spl30_102 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl30_73
| ~ spl30_102 ),
inference(subsumption_resolution,[],[f1474,f402]) ).
fof(f1474,plain,
( e0 = e2
| ~ spl30_73
| ~ spl30_102 ),
inference(backward_demodulation,[],[f768,f942]) ).
fof(f1469,plain,
( ~ spl30_1
| ~ spl30_82 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
fof(f1468,plain,
( $false
| ~ spl30_1
| ~ spl30_82 ),
inference(subsumption_resolution,[],[f1467,f404]) ).
fof(f1467,plain,
( e0 = e1
| ~ spl30_1
| ~ spl30_82 ),
inference(forward_demodulation,[],[f810,f436]) ).
fof(f1461,plain,
( spl30_44
| ~ spl30_59
| ~ spl30_90 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1460,plain,
( $false
| spl30_44
| ~ spl30_59
| ~ spl30_90 ),
inference(subsumption_resolution,[],[f1459,f623]) ).
fof(f623,plain,
( e1 != op(e2,e2)
| spl30_44 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1459,plain,
( e1 = op(e2,e2)
| ~ spl30_59
| ~ spl30_90 ),
inference(forward_demodulation,[],[f691,f851]) ).
fof(f691,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl30_59 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl30_59
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_59])]) ).
fof(f1449,plain,
( ~ spl30_46
| ~ spl30_85 ),
inference(avatar_split_clause,[],[f1448,f821,f630]) ).
fof(f1448,plain,
( e2 != op(e1,e1)
| ~ spl30_85 ),
inference(forward_demodulation,[],[f176,f823]) ).
fof(f176,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1447,plain,
( ~ spl30_113
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f1446,f653,f1029]) ).
fof(f1446,plain,
( e1 != op(e0,e1)
| ~ spl30_51 ),
inference(forward_demodulation,[],[f178,f655]) ).
fof(f1442,plain,
( ~ spl30_46
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f1441,f767,f630]) ).
fof(f1441,plain,
( e2 != op(e1,e1)
| ~ spl30_73 ),
inference(forward_demodulation,[],[f161,f768]) ).
fof(f1440,plain,
( ~ spl30_75
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f1439,f460,f776]) ).
fof(f1439,plain,
( e3 != op(e0,e1)
| ~ spl30_7 ),
inference(forward_demodulation,[],[f160,f461]) ).
fof(f1438,plain,
( ~ spl30_41
| ~ spl30_90 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl30_41
| ~ spl30_90 ),
inference(subsumption_resolution,[],[f1436,f406]) ).
fof(f1436,plain,
( e2 = e3
| ~ spl30_41
| ~ spl30_90 ),
inference(backward_demodulation,[],[f609,f851]) ).
fof(f1433,plain,
( ~ spl30_95
| ~ spl30_117 ),
inference(avatar_split_clause,[],[f1432,f1080,f904]) ).
fof(f1432,plain,
( e2 != op(e0,e1)
| ~ spl30_117 ),
inference(forward_demodulation,[],[f181,f1082]) ).
fof(f1431,plain,
( ~ spl30_6
| ~ spl30_98 ),
inference(avatar_contradiction_clause,[],[f1430]) ).
fof(f1430,plain,
( $false
| ~ spl30_6
| ~ spl30_98 ),
inference(subsumption_resolution,[],[f1429,f403]) ).
fof(f1429,plain,
( e1 = e3
| ~ spl30_6
| ~ spl30_98 ),
inference(forward_demodulation,[],[f923,f458]) ).
fof(f1407,plain,
( ~ spl30_3
| ~ spl30_117 ),
inference(avatar_split_clause,[],[f1406,f1080,f442]) ).
fof(f1406,plain,
( op(e0,e0) != e2
| ~ spl30_117 ),
inference(forward_demodulation,[],[f175,f1082]) ).
fof(f1403,plain,
( ~ spl30_3
| ~ spl30_41
| spl30_114 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1402,plain,
( $false
| ~ spl30_3
| ~ spl30_41
| spl30_114 ),
inference(subsumption_resolution,[],[f1401,f609]) ).
fof(f1401,plain,
( e3 != op(e2,e2)
| ~ spl30_3
| spl30_114 ),
inference(forward_demodulation,[],[f1041,f443]) ).
fof(f1396,plain,
( ~ spl30_101
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1395,f565,f936]) ).
fof(f1395,plain,
( e0 != op(e2,e3)
| ~ spl30_32 ),
inference(forward_demodulation,[],[f185,f566]) ).
fof(f1390,plain,
( ~ spl30_80
| ~ spl30_81 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl30_80
| ~ spl30_81 ),
inference(subsumption_resolution,[],[f1388,f404]) ).
fof(f1388,plain,
( e0 = e1
| ~ spl30_80
| ~ spl30_81 ),
inference(forward_demodulation,[],[f805,f801]) ).
fof(f1383,plain,
( ~ spl30_27
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1382,f565,f543]) ).
fof(f1382,plain,
( e0 != op(e3,e2)
| ~ spl30_32 ),
inference(forward_demodulation,[],[f188,f566]) ).
fof(f1381,plain,
( ~ spl30_26
| ~ spl30_51 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| ~ spl30_26
| ~ spl30_51 ),
inference(subsumption_resolution,[],[f1379,f655]) ).
fof(f1379,plain,
( e1 != op(e3,e1)
| ~ spl30_26 ),
inference(forward_demodulation,[],[f196,f541]) ).
fof(f1372,plain,
( ~ spl30_3
| spl30_38
| ~ spl30_54 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl30_3
| spl30_38
| ~ spl30_54 ),
inference(subsumption_resolution,[],[f1370,f443]) ).
fof(f1370,plain,
( op(e0,e0) != e2
| spl30_38
| ~ spl30_54 ),
inference(forward_demodulation,[],[f596,f668]) ).
fof(f1369,plain,
( ~ spl30_99
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f1368,f608,f925]) ).
fof(f1368,plain,
( e3 != op(e1,e2)
| ~ spl30_41 ),
inference(forward_demodulation,[],[f179,f609]) ).
fof(f1367,plain,
( ~ spl30_32
| spl30_104
| ~ spl30_118 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1366,plain,
( $false
| ~ spl30_32
| spl30_104
| ~ spl30_118 ),
inference(subsumption_resolution,[],[f1365,f1100]) ).
fof(f1365,plain,
( e2 != op(e3,e0)
| ~ spl30_32
| spl30_104 ),
inference(forward_demodulation,[],[f957,f566]) ).
fof(f1364,plain,
( ~ spl30_52
| ~ spl30_1 ),
inference(avatar_split_clause,[],[f1363,f434,f658]) ).
fof(f1363,plain,
( e0 != op(e0,e0)
| ~ spl30_1 ),
inference(forward_demodulation,[],[f159,f436]) ).
fof(f1362,plain,
( ~ spl30_76
| ~ spl30_117 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1361,plain,
( $false
| ~ spl30_76
| ~ spl30_117 ),
inference(subsumption_resolution,[],[f1360,f406]) ).
fof(f1360,plain,
( e2 = e3
| ~ spl30_76
| ~ spl30_117 ),
inference(backward_demodulation,[],[f782,f1082]) ).
fof(f1359,plain,
( ~ spl30_36
| ~ spl30_80 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1358,plain,
( $false
| ~ spl30_36
| ~ spl30_80 ),
inference(subsumption_resolution,[],[f1357,f586]) ).
fof(f1357,plain,
( e0 != op(e1,e0)
| ~ spl30_80 ),
inference(forward_demodulation,[],[f186,f801]) ).
fof(f1356,plain,
( ~ spl30_26
| ~ spl30_29 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl30_26
| ~ spl30_29 ),
inference(subsumption_resolution,[],[f1353,f403]) ).
fof(f1353,plain,
( e1 = e3
| ~ spl30_26
| ~ spl30_29 ),
inference(backward_demodulation,[],[f553,f541]) ).
fof(f1352,plain,
( ~ spl30_109
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f1351,f608,f998]) ).
fof(f1351,plain,
( e3 != op(e2,e3)
| ~ spl30_41 ),
inference(forward_demodulation,[],[f167,f609]) ).
fof(f1350,plain,
( ~ spl30_69
| ~ spl30_41
| spl30_59 ),
inference(avatar_split_clause,[],[f1349,f690,f608,f747]) ).
fof(f1349,plain,
( e1 != op(e2,e3)
| ~ spl30_41
| spl30_59 ),
inference(forward_demodulation,[],[f692,f609]) ).
fof(f692,plain,
( e1 != op(e2,op(e2,e2))
| spl30_59 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f1348,plain,
( ~ spl30_57
| ~ spl30_113 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl30_57
| ~ spl30_113 ),
inference(subsumption_resolution,[],[f1346,f404]) ).
fof(f1346,plain,
( e0 = e1
| ~ spl30_57
| ~ spl30_113 ),
inference(forward_demodulation,[],[f1031,f683]) ).
fof(f1345,plain,
( ~ spl30_3
| ~ spl30_64 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl30_3
| ~ spl30_64 ),
inference(subsumption_resolution,[],[f1343,f406]) ).
fof(f1343,plain,
( e2 = e3
| ~ spl30_3
| ~ spl30_64 ),
inference(forward_demodulation,[],[f714,f443]) ).
fof(f1342,plain,
( ~ spl30_94
| ~ spl30_1 ),
inference(avatar_split_clause,[],[f1341,f434,f881]) ).
fof(f1341,plain,
( e0 != op(e1,e2)
| ~ spl30_1 ),
inference(forward_demodulation,[],[f157,f436]) ).
fof(f1335,plain,
( ~ spl30_54
| ~ spl30_57 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| ~ spl30_54
| ~ spl30_57 ),
inference(subsumption_resolution,[],[f1333,f683]) ).
fof(f1333,plain,
( e0 != op(e0,e1)
| ~ spl30_54 ),
inference(forward_demodulation,[],[f160,f668]) ).
fof(f1330,plain,
( ~ spl30_94
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f1329,f667,f881]) ).
fof(f1329,plain,
( e0 != op(e1,e2)
| ~ spl30_54 ),
inference(forward_demodulation,[],[f176,f668]) ).
fof(f1323,plain,
( ~ spl30_94
| ~ spl30_36 ),
inference(avatar_split_clause,[],[f1322,f584,f881]) ).
fof(f1322,plain,
( e0 != op(e1,e2)
| ~ spl30_36 ),
inference(backward_demodulation,[],[f193,f586]) ).
fof(f1318,plain,
( ~ spl30_99
| ~ spl30_29 ),
inference(avatar_split_clause,[],[f1317,f551,f925]) ).
fof(f1317,plain,
( e3 != op(e1,e2)
| ~ spl30_29 ),
inference(backward_demodulation,[],[f197,f553]) ).
fof(f1316,plain,
( ~ spl30_67
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f1315,f653,f737]) ).
fof(f1315,plain,
( e1 != op(e2,e1)
| ~ spl30_51 ),
inference(forward_demodulation,[],[f192,f655]) ).
fof(f1314,plain,
( ~ spl30_36
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f1313,f667,f584]) ).
fof(f1313,plain,
( e0 != op(e1,e0)
| ~ spl30_54 ),
inference(forward_demodulation,[],[f152,f668]) ).
fof(f1312,plain,
( ~ spl30_7
| ~ spl30_54 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl30_7
| ~ spl30_54 ),
inference(subsumption_resolution,[],[f1310,f401]) ).
fof(f1310,plain,
( e0 = e3
| ~ spl30_7
| ~ spl30_54 ),
inference(forward_demodulation,[],[f461,f668]) ).
fof(f1309,plain,
( ~ spl30_52
| ~ spl30_57 ),
inference(avatar_split_clause,[],[f1308,f681,f658]) ).
fof(f1308,plain,
( e0 != op(e0,e0)
| ~ spl30_57 ),
inference(forward_demodulation,[],[f156,f683]) ).
fof(f1306,plain,
( ~ spl30_74
| ~ spl30_76 ),
inference(avatar_split_clause,[],[f1305,f780,f772]) ).
fof(f1305,plain,
( e3 != op(e0,e2)
| ~ spl30_76 ),
inference(forward_demodulation,[],[f154,f782]) ).
fof(f1298,plain,
( ~ spl30_52
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f1294,f799,f658]) ).
fof(f1294,plain,
( e0 != op(e0,e0)
| ~ spl30_80 ),
inference(backward_demodulation,[],[f199,f801]) ).
fof(f1297,plain,
( ~ spl30_101
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f1295,f799,f936]) ).
fof(f1295,plain,
( e0 != op(e2,e3)
| ~ spl30_80 ),
inference(backward_demodulation,[],[f173,f801]) ).
fof(f1296,plain,
( ~ spl30_60
| ~ spl30_80 ),
inference(avatar_split_clause,[],[f1293,f799,f694]) ).
fof(f1293,plain,
( e0 != op(e2,e2)
| ~ spl30_80 ),
inference(backward_demodulation,[],[f164,f801]) ).
fof(f1287,plain,
( ~ spl30_1
| ~ spl30_57 ),
inference(avatar_split_clause,[],[f1286,f681,f434]) ).
fof(f1286,plain,
( e0 != op(e0,e2)
| ~ spl30_57 ),
inference(forward_demodulation,[],[f191,f683]) ).
fof(f1277,plain,
( ~ spl30_32
| ~ spl30_56
| spl30_103 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| ~ spl30_32
| ~ spl30_56
| spl30_103 ),
inference(subsumption_resolution,[],[f1275,f678]) ).
fof(f1275,plain,
( op(e0,e0) != e1
| ~ spl30_32
| spl30_103 ),
inference(forward_demodulation,[],[f953,f566]) ).
fof(f1274,plain,
( ~ spl30_36
| ~ spl30_14 ),
inference(avatar_split_clause,[],[f1273,f490,f584]) ).
fof(f1273,plain,
( e0 != op(e1,e0)
| ~ spl30_14 ),
inference(backward_demodulation,[],[f177,f492]) ).
fof(f1271,plain,
( ~ spl30_9
| ~ spl30_51 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl30_9
| ~ spl30_51 ),
inference(subsumption_resolution,[],[f1269,f403]) ).
fof(f1269,plain,
( e1 = e3
| ~ spl30_9
| ~ spl30_51 ),
inference(backward_demodulation,[],[f471,f655]) ).
fof(f1259,plain,
( ~ spl30_35
| ~ spl30_6 ),
inference(avatar_split_clause,[],[f1258,f456,f579]) ).
fof(f1258,plain,
( e1 != op(e1,e0)
| ~ spl30_6 ),
inference(backward_demodulation,[],[f168,f458]) ).
fof(f1256,plain,
( ~ spl30_93
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1246,f565,f877]) ).
fof(f1246,plain,
( e0 != op(e1,e3)
| ~ spl30_32 ),
inference(backward_demodulation,[],[f162,f566]) ).
fof(f1255,plain,
( ~ spl30_107
| ~ spl30_32
| spl30_116 ),
inference(avatar_split_clause,[],[f1251,f1061,f565,f975]) ).
fof(f1251,plain,
( e1 != op(e3,e0)
| ~ spl30_32
| spl30_116 ),
inference(backward_demodulation,[],[f1063,f566]) ).
fof(f1254,plain,
( ~ spl30_50
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1248,f565,f649]) ).
fof(f1248,plain,
( e0 != op(e3,e1)
| ~ spl30_32 ),
inference(backward_demodulation,[],[f198,f566]) ).
fof(f1253,plain,
( ~ spl30_77
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1247,f565,f785]) ).
fof(f1247,plain,
( e0 != op(e0,e3)
| ~ spl30_32 ),
inference(backward_demodulation,[],[f187,f566]) ).
fof(f1252,plain,
( ~ spl30_14
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f1245,f565,f490]) ).
fof(f1245,plain,
( e0 != op(e3,e0)
| ~ spl30_32 ),
inference(backward_demodulation,[],[f155,f566]) ).
fof(f1232,plain,
( ~ spl30_86
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f1230,f612,f825]) ).
fof(f1230,plain,
( e2 != op(e1,e3)
| ~ spl30_42 ),
inference(backward_demodulation,[],[f172,f613]) ).
fof(f1225,plain,
( ~ spl30_50
| ~ spl30_57 ),
inference(avatar_split_clause,[],[f1223,f681,f649]) ).
fof(f1223,plain,
( e0 != op(e3,e1)
| ~ spl30_57 ),
inference(backward_demodulation,[],[f178,f683]) ).
fof(f1220,plain,
( ~ spl30_46
| ~ spl30_54 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl30_46
| ~ spl30_54 ),
inference(subsumption_resolution,[],[f1218,f402]) ).
fof(f1218,plain,
( e0 = e2
| ~ spl30_46
| ~ spl30_54 ),
inference(backward_demodulation,[],[f631,f668]) ).
fof(f1217,plain,
( ~ spl30_56
| ~ spl30_64 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl30_56
| ~ spl30_64 ),
inference(subsumption_resolution,[],[f1215,f403]) ).
fof(f1215,plain,
( e1 = e3
| ~ spl30_56
| ~ spl30_64 ),
inference(forward_demodulation,[],[f714,f678]) ).
fof(f1214,plain,
( ~ spl30_41
| ~ spl30_60 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl30_41
| ~ spl30_60 ),
inference(subsumption_resolution,[],[f1212,f401]) ).
fof(f1212,plain,
( e0 = e3
| ~ spl30_41
| ~ spl30_60 ),
inference(forward_demodulation,[],[f609,f695]) ).
fof(f1207,plain,
( ~ spl30_35
| ~ spl30_47 ),
inference(avatar_split_clause,[],[f1203,f634,f579]) ).
fof(f1203,plain,
( e1 != op(e1,e0)
| ~ spl30_47 ),
inference(backward_demodulation,[],[f193,f636]) ).
fof(f1195,plain,
( ~ spl30_85
| ~ spl30_28 ),
inference(avatar_split_clause,[],[f1191,f547,f821]) ).
fof(f1191,plain,
( e2 != op(e1,e2)
| ~ spl30_28 ),
inference(backward_demodulation,[],[f197,f549]) ).
fof(f1189,plain,
( ~ spl30_3
| ~ spl30_56 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl30_3
| ~ spl30_56 ),
inference(subsumption_resolution,[],[f1187,f405]) ).
fof(f1187,plain,
( e1 = e2
| ~ spl30_3
| ~ spl30_56 ),
inference(forward_demodulation,[],[f443,f678]) ).
fof(f1185,plain,
( spl30_33
| ~ spl30_46
| ~ spl30_60 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1184,plain,
( $false
| spl30_33
| ~ spl30_46
| ~ spl30_60 ),
inference(subsumption_resolution,[],[f1183,f695]) ).
fof(f1183,plain,
( e0 != op(e2,e2)
| spl30_33
| ~ spl30_46 ),
inference(forward_demodulation,[],[f572,f631]) ).
fof(f1182,plain,
( ~ spl30_81
| spl30_59
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1181,f694,f690,f803]) ).
fof(f1181,plain,
( e1 != op(e2,e0)
| spl30_59
| ~ spl30_60 ),
inference(forward_demodulation,[],[f692,f695]) ).
fof(f1180,plain,
( ~ spl30_56
| ~ spl30_60
| spl30_106 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| ~ spl30_56
| ~ spl30_60
| spl30_106 ),
inference(subsumption_resolution,[],[f1178,f678]) ).
fof(f1178,plain,
( op(e0,e0) != e1
| ~ spl30_60
| spl30_106 ),
inference(forward_demodulation,[],[f972,f695]) ).
fof(f972,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl30_106 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f1175,plain,
( ~ spl30_1
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1168,f694,f434]) ).
fof(f1168,plain,
( e0 != op(e0,e2)
| ~ spl30_60 ),
inference(backward_demodulation,[],[f158,f695]) ).
fof(f1174,plain,
( ~ spl30_94
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1166,f694,f881]) ).
fof(f1166,plain,
( e0 != op(e1,e2)
| ~ spl30_60 ),
inference(backward_demodulation,[],[f179,f695]) ).
fof(f1173,plain,
( ~ spl30_27
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1169,f694,f543]) ).
fof(f1169,plain,
( e0 != op(e3,e2)
| ~ spl30_60 ),
inference(backward_demodulation,[],[f182,f695]) ).
fof(f1172,plain,
( ~ spl30_101
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1165,f694,f936]) ).
fof(f1165,plain,
( e0 != op(e2,e3)
| ~ spl30_60 ),
inference(backward_demodulation,[],[f167,f695]) ).
fof(f1171,plain,
( ~ spl30_102
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f1167,f694,f940]) ).
fof(f1167,plain,
( e0 != op(e2,e1)
| ~ spl30_60 ),
inference(backward_demodulation,[],[f166,f695]) ).
fof(f1163,plain,
( ~ spl30_7
| ~ spl30_46 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl30_7
| ~ spl30_46 ),
inference(subsumption_resolution,[],[f1161,f406]) ).
fof(f1161,plain,
( e2 = e3
| ~ spl30_7
| ~ spl30_46 ),
inference(forward_demodulation,[],[f461,f631]) ).
fof(f1160,plain,
( ~ spl30_35
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f1151,f677,f579]) ).
fof(f1151,plain,
( e1 != op(e1,e0)
| ~ spl30_56 ),
inference(backward_demodulation,[],[f153,f678]) ).
fof(f1159,plain,
( ~ spl30_70
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f1149,f677,f751]) ).
fof(f1149,plain,
( e1 != op(e0,e3)
| ~ spl30_56 ),
inference(backward_demodulation,[],[f175,f678]) ).
fof(f1157,plain,
( ~ spl30_107
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f1150,f677,f975]) ).
fof(f1150,plain,
( e1 != op(e3,e0)
| ~ spl30_56 ),
inference(backward_demodulation,[],[f169,f678]) ).
fof(f1148,plain,
( ~ spl30_95
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f1141,f630,f904]) ).
fof(f1141,plain,
( e2 != op(e0,e1)
| ~ spl30_46 ),
inference(backward_demodulation,[],[f160,f631]) ).
fof(f1147,plain,
( ~ spl30_86
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f1139,f630,f825]) ).
fof(f1139,plain,
( e2 != op(e1,e3)
| ~ spl30_46 ),
inference(backward_demodulation,[],[f184,f631]) ).
fof(f1146,plain,
( ~ spl30_84
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f1137,f630,f817]) ).
fof(f1137,plain,
( e2 != op(e1,e0)
| ~ spl30_46 ),
inference(backward_demodulation,[],[f152,f631]) ).
fof(f1136,plain,
( ~ spl30_62
| ~ spl30_71
| spl30_29 ),
inference(avatar_split_clause,[],[f217,f551,f757,f704]) ).
fof(f704,plain,
( spl30_62
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_62])]) ).
fof(f217,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1135,plain,
( ~ spl30_71
| spl30_29
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f240,f438,f551,f757]) ).
fof(f438,plain,
( spl30_2
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f240,plain,
( ~ sP21
| e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& e2 = op(e1,e1)
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& e2 = op(e1,e1)
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1134,plain,
( spl30_35
| ~ spl30_68
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f234,f667,f742,f579]) ).
fof(f742,plain,
( spl30_68
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_68])]) ).
fof(f234,plain,
( e0 != op(e1,e1)
| ~ sP23
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& e0 = op(e2,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& e0 = op(e2,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1133,plain,
( spl30_90
| ~ spl30_62 ),
inference(avatar_split_clause,[],[f218,f704,f849]) ).
fof(f218,plain,
( ~ sP26
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f1132,plain,
( spl30_13
| spl30_15
| spl30_17
| spl30_12
| spl30_25
| spl30_19
| spl30_24
| spl30_16
| spl30_21
| spl30_18
| ~ spl30_5
| spl30_11
| spl30_10
| spl30_23
| spl30_22
| spl30_20
| ~ spl30_9 ),
inference(avatar_split_clause,[],[f367,f469,f514,f522,f526,f473,f478,f451,f506,f518,f498,f530,f510,f534,f482,f502,f494,f486]) ).
fof(f486,plain,
( spl30_13
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_13])]) ).
fof(f494,plain,
( spl30_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_15])]) ).
fof(f502,plain,
( spl30_17
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_17])]) ).
fof(f482,plain,
( spl30_12
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_12])]) ).
fof(f534,plain,
( spl30_25
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_25])]) ).
fof(f510,plain,
( spl30_19
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_19])]) ).
fof(f530,plain,
( spl30_24
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_24])]) ).
fof(f498,plain,
( spl30_16
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_16])]) ).
fof(f518,plain,
( spl30_21
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_21])]) ).
fof(f506,plain,
( spl30_18
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_18])]) ).
fof(f478,plain,
( spl30_11
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_11])]) ).
fof(f473,plain,
( spl30_10
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_10])]) ).
fof(f526,plain,
( spl30_23
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_23])]) ).
fof(f522,plain,
( spl30_22
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_22])]) ).
fof(f514,plain,
( spl30_20
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_20])]) ).
fof(f367,plain,
( e3 != op(e3,e1)
| sP11
| sP5
| sP1
| sP14
| sP4
| e1 != op(e3,e3)
| sP6
| sP8
| sP12
| sP9
| sP3
| sP13
| sP7
| sP10
| sP0
| sP2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( e0 = op(e1,e1)
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) ) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 )
& ( ( ( e0 != op(e3,e3)
| e3 != op(e3,e0) )
& e0 = op(e0,e3)
& e0 = op(e3,e0)
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) ) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& e2 = op(e1,e2)
& e2 = op(e2,e1)
& ( e2 != op(e1,e1)
| e1 != op(e1,e2) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( ( e3 != op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e2,e3)
& e2 = op(e3,e2)
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
( ( ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e2)
| e2 != op(e3,e3) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e1 = op(e1,e3)
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e1 = op(e3,e1) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e1 = op(e2,e1)
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e1,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( ( e1 != op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& e0 = op(e2,e0)
& e0 = op(e0,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e2 = op(e2,e0)
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) )
& e2 = op(e0,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f62,plain,
( ( e3 = op(e3,e2)
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& ( e3 != op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& e3 = op(e2,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f63,plain,
( ( e0 = op(e0,e0)
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& e0 = op(e0,e0)
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f64,plain,
( ( e1 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f65,plain,
( ( e0 = op(e1,e0)
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& e0 = op(e0,e1)
& ( e0 != op(e1,e1)
| e1 != op(e1,e0) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f66,plain,
( ( e1 = op(e0,e1)
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e1,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f67,plain,
( ( ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) )
& e3 = op(e0,e3)
& e3 = op(e3,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f68,plain,
( ( ( e1 != op(e1,e0)
| e0 != op(e1,e1) )
& e3 = op(e3,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e3)
| e3 != op(e1,e1) )
& e3 = op(e1,e3)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f69,plain,
( ( ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& op(e0,e0) = e1
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f70,plain,
( ( e3 = op(e3,e3)
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f71,plain,
( ( ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e2,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f72,plain,
( ( ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& e3 = op(e2,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f73,plain,
( ( ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& op(e0,e0) = e3 )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f74,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& op(e0,e0) = e2
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f76,plain,
( ( ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e3,e3)
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f78,plain,
( ( ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& e0 = op(e3,e3)
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f79,plain,
( ( ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& e3 = op(e1,e1)
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f81,plain,
( ( ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& e0 = op(e0,e0)
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f82,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e3,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f83,plain,
( ( ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f5,axiom,
( ( ( e0 = op(e1,e1)
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) ) )
| ( ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) ) )
| ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e3,e3) )
| ( ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& e0 = op(e0,e0)
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) ) )
| ( ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ( ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& e3 = op(e1,e1)
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) ) )
| ( ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& e0 = op(e3,e3)
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) ) )
| ( ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& e0 = op(e2,e2) )
| ( ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e3,e3)
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) ) )
| ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& e2 = op(e1,e1)
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) )
| ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& op(e0,e0) = e2
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) ) )
| ( ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& op(e0,e0) = e3 )
| ( ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& e3 = op(e2,e2) )
| ( ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e2,e2) )
| ( e3 = op(e3,e3)
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) ) )
| ( ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& op(e0,e0) = e1
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) ) ) )
& ( ( ( e0 != op(e3,e3)
| e3 != op(e3,e0) )
& e0 = op(e0,e3)
& e0 = op(e3,e0)
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) ) )
| ( ( e1 != op(e1,e0)
| e0 != op(e1,e1) )
& e3 = op(e3,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e3)
| e3 != op(e1,e1) )
& e3 = op(e1,e3)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ( ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) )
& e3 = op(e0,e3)
& e3 = op(e3,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 ) )
| ( e1 = op(e0,e1)
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e1,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) ) )
| ( e0 = op(e1,e0)
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& e0 = op(e0,e1)
& ( e0 != op(e1,e1)
| e1 != op(e1,e0) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ( e1 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) )
| ( e0 = op(e0,e0)
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& e0 = op(e0,e0)
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) ) )
| ( e3 = op(e3,e2)
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& ( e3 != op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& e3 = op(e2,e3) )
| ( e2 = op(e2,e0)
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) )
& e2 = op(e0,e2) )
| ( ( e1 != op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& e0 = op(e2,e0)
& e0 = op(e0,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) ) )
| ( e1 = op(e2,e1)
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e1,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ( ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e1 = op(e1,e3)
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e1 = op(e3,e1) )
| ( ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e2)
| e2 != op(e3,e3) ) )
| ( ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ( ( e3 != op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e2,e3)
& e2 = op(e3,e2)
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) ) )
| ( ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& e2 = op(e1,e2)
& e2 = op(e2,e1)
& ( e2 != op(e1,e1)
| e1 != op(e1,e2) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1131,plain,
( spl30_64
| spl30_31
| spl30_100
| spl30_79 ),
inference(avatar_split_clause,[],[f128,f795,f929,f561,f713]) ).
fof(f128,plain,
( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| e1 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3) )
& ( e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1) )
& ( e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e2) )
& ( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) )
& ( e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e1) )
& ( e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| e0 = op(e3,e1) )
& ( e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e3) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e0,e3)
| op(e0,e0) = e1
| e1 = op(e0,e1) )
& ( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) )
& ( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e3) )
& ( e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e3)
| e2 = op(e0,e2) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0) )
& ( e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1130,plain,
( ~ spl30_90
| ~ spl30_13 ),
inference(avatar_split_clause,[],[f417,f486,f849]) ).
fof(f417,plain,
( ~ sP2
| e2 != op(e2,e2) ),
inference(duplicate_literal_removal,[],[f350]) ).
fof(f350,plain,
( e2 != op(e2,e2)
| e2 != op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& e2 = op(e2,e2)
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1129,plain,
( ~ spl30_17
| spl30_40 ),
inference(avatar_split_clause,[],[f304,f603,f502]) ).
fof(f304,plain,
( e1 = op(e1,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e1 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1128,plain,
( spl30_99
| spl30_85
| spl30_47
| spl30_94 ),
inference(avatar_split_clause,[],[f384,f881,f634,f821,f925]) ).
fof(f384,plain,
( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e2 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e0 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0) )
& ( e2 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e0 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2) )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1127,plain,
( ~ spl30_10
| spl30_98 ),
inference(avatar_split_clause,[],[f276,f921,f473]) ).
fof(f276,plain,
( e3 = op(e1,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( e1 != op(e1,e0)
| e0 != op(e1,e1) )
& e3 = op(e3,e1)
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e3)
| e3 != op(e1,e1) )
& e3 = op(e1,e3)
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f1126,plain,
( spl30_100
| spl30_84
| spl30_36
| spl30_35 ),
inference(avatar_split_clause,[],[f392,f579,f584,f817,f929]) ).
fof(f392,plain,
( e1 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1123,plain,
( ~ spl30_110
| ~ spl30_115
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f116,f677,f1044,f1005]) ).
fof(f116,plain,
( op(e0,e0) != e1
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f1122,plain,
( spl30_71
| spl30_87
| spl30_5
| spl30_32 ),
inference(avatar_split_clause,[],[f383,f565,f451,f831,f757]) ).
fof(f383,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1121,plain,
( ~ spl30_3
| ~ spl30_111
| ~ spl30_114 ),
inference(avatar_split_clause,[],[f416,f1039,f1009,f442]) ).
fof(f416,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( op(e0,e0) != e2
| e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e3 = op(op(e0,e0),op(e0,e0))
& op(e0,e0) = e2
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f1120,plain,
( ~ spl30_39
| ~ spl30_46
| ~ spl30_108 ),
inference(avatar_split_clause,[],[f376,f982,f630,f598]) ).
fof(f376,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f1119,plain,
( ~ spl30_17
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f418,f603,f502]) ).
fof(f418,plain,
( e1 != op(e1,e1)
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f301,plain,
( e1 != op(e1,e1)
| ~ sP10
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f1118,plain,
( ~ spl30_23
| spl30_28 ),
inference(avatar_split_clause,[],[f356,f547,f526]) ).
fof(f356,plain,
( e2 = op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ( e3 != op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e2,e3)
& e2 = op(e3,e2)
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1117,plain,
( ~ spl30_5
| spl30_9
| ~ spl30_58 ),
inference(avatar_split_clause,[],[f270,f685,f469,f451]) ).
fof(f685,plain,
( spl30_58
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_58])]) ).
fof(f270,plain,
( ~ sP15
| e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& op(e0,e0) = e1
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1116,plain,
( spl30_76
| spl30_70
| spl30_77
| spl30_117 ),
inference(avatar_split_clause,[],[f382,f1080,f785,f751,f780]) ).
fof(f382,plain,
( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1115,plain,
( spl30_47
| ~ spl30_46
| ~ spl30_62 ),
inference(avatar_split_clause,[],[f216,f704,f630,f634]) ).
fof(f216,plain,
( ~ sP26
| e2 != op(e1,e1)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f1114,plain,
( spl30_49
| spl30_28
| spl30_71
| spl30_118 ),
inference(avatar_split_clause,[],[f139,f1098,f757,f547,f645]) ).
fof(f139,plain,
( e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1113,plain,
( spl30_73
| ~ spl30_44
| ~ spl30_4 ),
inference(avatar_split_clause,[],[f237,f447,f621,f767]) ).
fof(f447,plain,
( spl30_4
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f237,plain,
( ~ sP22
| e1 != op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e3,e3)
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1112,plain,
( spl30_67
| spl30_69
| spl30_81
| spl30_44 ),
inference(avatar_split_clause,[],[f121,f621,f803,f747,f737]) ).
fof(f121,plain,
( e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1111,plain,
( spl30_3
| spl30_118
| spl30_37
| spl30_84 ),
inference(avatar_split_clause,[],[f150,f817,f589,f1098,f442]) ).
fof(f150,plain,
( e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1110,plain,
( spl30_77
| ~ spl30_64
| ~ spl30_78 ),
inference(avatar_split_clause,[],[f258,f790,f713,f785]) ).
fof(f790,plain,
( spl30_78
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_78])]) ).
fof(f258,plain,
( ~ sP18
| op(e0,e0) != e3
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& e3 = op(e2,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f72]) ).
fof(f1109,plain,
( ~ spl30_21
| spl30_109 ),
inference(avatar_split_clause,[],[f311,f998,f518]) ).
fof(f311,plain,
( e3 = op(e2,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 = op(e3,e2)
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& ( e3 != op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& e3 = op(e2,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1108,plain,
( spl30_90
| ~ spl30_13 ),
inference(avatar_split_clause,[],[f349,f486,f849]) ).
fof(f349,plain,
( ~ sP2
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f1106,plain,
( spl30_16
| spl30_11
| spl30_20
| spl30_15
| spl30_21
| spl30_25
| spl30_19
| spl30_18
| spl30_24
| spl30_10
| ~ spl30_87
| spl30_13
| spl30_12
| spl30_22
| spl30_17
| spl30_23 ),
inference(avatar_split_clause,[],[f419,f526,f502,f522,f482,f486,f831,f473,f530,f506,f510,f534,f518,f494,f514,f478,f498]) ).
fof(f419,plain,
( sP1
| sP10
| sP5
| sP7
| sP2
| e3 != op(e3,e3)
| sP14
| sP9
| sP6
| sP3
| sP13
| sP8
| sP0
| sP11
| sP4
| sP12 ),
inference(duplicate_literal_removal,[],[f365]) ).
fof(f365,plain,
( sP13
| e3 != op(e3,e3)
| sP2
| e3 != op(e3,e3)
| sP8
| sP12
| sP3
| sP7
| sP0
| sP6
| sP9
| sP11
| sP14
| sP10
| sP5
| sP4
| sP1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1105,plain,
( ~ spl30_44
| spl30_73
| ~ spl30_30 ),
inference(avatar_split_clause,[],[f200,f556,f767,f621]) ).
fof(f556,plain,
( spl30_30
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_30])]) ).
fof(f200,plain,
( ~ sP29
| e2 = op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& e1 = op(e1,e1)
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f83]) ).
fof(f1104,plain,
( spl30_42
| ~ spl30_78
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f256,f608,f790,f612]) ).
fof(f256,plain,
( e3 != op(e2,e2)
| ~ sP18
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1103,plain,
( ~ spl30_77
| ~ spl30_64
| ~ spl30_16 ),
inference(avatar_split_clause,[],[f287,f498,f713,f785]) ).
fof(f287,plain,
( ~ sP12
| op(e0,e0) != e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e1 = op(e0,e1)
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e1,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1102,plain,
( ~ spl30_116
| ~ spl30_112
| ~ spl30_71 ),
inference(avatar_split_clause,[],[f399,f757,f1016,f1061]) ).
fof(f399,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f1101,plain,
( spl30_118
| spl30_107
| spl30_14
| spl30_31 ),
inference(avatar_split_clause,[],[f387,f561,f490,f975,f1098]) ).
fof(f387,plain,
( e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1096,plain,
( spl30_71
| spl30_86
| spl30_42
| spl30_117 ),
inference(avatar_split_clause,[],[f145,f1080,f612,f825,f757]) ).
fof(f145,plain,
( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1095,plain,
( spl30_42
| ~ spl30_41
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f254,f872,f608,f612]) ).
fof(f872,plain,
( spl30_92
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_92])]) ).
fof(f254,plain,
( ~ sP19
| e3 != op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& op(e0,e0) = e3 )
| ~ sP19 ),
inference(nnf_transformation,[],[f73]) ).
fof(f1094,plain,
( spl30_60
| spl30_1
| spl30_94
| spl30_27 ),
inference(avatar_split_clause,[],[f147,f543,f881,f434,f694]) ).
fof(f147,plain,
( e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1092,plain,
( ~ spl30_5
| spl30_9
| ~ spl30_4 ),
inference(avatar_split_clause,[],[f235,f447,f469,f451]) ).
fof(f235,plain,
( ~ sP22
| e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f1091,plain,
( spl30_29
| ~ spl30_71
| ~ spl30_72 ),
inference(avatar_split_clause,[],[f206,f762,f757,f551]) ).
fof(f762,plain,
( spl30_72
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_72])]) ).
fof(f206,plain,
( ~ sP28
| e2 != op(e3,e3)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& e2 = op(e3,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f82]) ).
fof(f1090,plain,
( ~ spl30_11
| ~ spl30_71
| ~ spl30_29 ),
inference(avatar_split_clause,[],[f337,f551,f757,f478]) ).
fof(f337,plain,
( e3 != op(e3,e2)
| e2 != op(e3,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e1 = op(e1,e3)
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e1 = op(e3,e1) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1088,plain,
( ~ spl30_15
| spl30_73 ),
inference(avatar_split_clause,[],[f362,f767,f494]) ).
fof(f362,plain,
( e2 = op(e2,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& e2 = op(e1,e2)
& e2 = op(e2,e1)
& ( e2 != op(e1,e1)
| e1 != op(e1,e2) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1087,plain,
( spl30_95
| spl30_113
| spl30_57
| spl30_75 ),
inference(avatar_split_clause,[],[f390,f776,f681,f1029,f904]) ).
fof(f390,plain,
( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1086,plain,
( ~ spl30_60
| ~ spl30_22
| ~ spl30_37 ),
inference(avatar_split_clause,[],[f333,f589,f522,f694]) ).
fof(f333,plain,
( e2 != op(e2,e0)
| ~ sP5
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 = op(e2,e1)
& ( e2 != op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e1)
| e1 != op(e2,e2) )
& e1 = op(e1,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1085,plain,
( spl30_87
| spl30_109
| spl30_98
| spl30_76 ),
inference(avatar_split_clause,[],[f142,f780,f921,f998,f831]) ).
fof(f142,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1084,plain,
( ~ spl30_12
| spl30_83 ),
inference(avatar_split_clause,[],[f317,f812,f482]) ).
fof(f317,plain,
( e2 = op(e0,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e2 = op(e2,e0)
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) )
& e2 = op(e0,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1083,plain,
( spl30_117
| spl30_3
| spl30_83
| spl30_95 ),
inference(avatar_split_clause,[],[f125,f904,f812,f442,f1080]) ).
fof(f125,plain,
( e2 = op(e0,e1)
| e2 = op(e0,e2)
| op(e0,e0) = e2
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1078,plain,
( ~ spl30_23
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f420,f831,f526]) ).
fof(f420,plain,
( e3 != op(e3,e3)
| ~ sP1 ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f353,plain,
( e3 != op(e3,e3)
| e3 != op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f1077,plain,
( spl30_11
| spl30_20
| spl30_15
| ~ spl30_71
| spl30_19
| spl30_10
| spl30_22
| spl30_12
| spl30_25
| spl30_24
| spl30_13
| spl30_17
| spl30_18
| spl30_16
| spl30_21
| ~ spl30_29
| spl30_23 ),
inference(avatar_split_clause,[],[f366,f526,f551,f518,f498,f506,f502,f486,f530,f534,f482,f522,f473,f510,f757,f494,f514,f478]) ).
fof(f366,plain,
( sP1
| e3 != op(e3,e2)
| sP8
| sP12
| sP6
| sP10
| sP2
| sP9
| sP13
| sP7
| sP5
| sP14
| sP3
| e2 != op(e3,e3)
| sP0
| sP11
| sP4 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1076,plain,
( ~ spl30_12
| ~ spl30_64
| ~ spl30_77 ),
inference(avatar_split_clause,[],[f319,f785,f713,f482]) ).
fof(f319,plain,
( e0 != op(e0,e3)
| op(e0,e0) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f107]) ).
fof(f1074,plain,
( ~ spl30_59
| ~ spl30_41
| ~ spl30_43 ),
inference(avatar_split_clause,[],[f117,f617,f608,f690]) ).
fof(f117,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1073,plain,
( ~ spl30_40
| ~ spl30_15 ),
inference(avatar_split_clause,[],[f421,f494,f603]) ).
fof(f421,plain,
( ~ sP0
| e1 != op(e1,e1) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
( ~ sP0
| e1 != op(e1,e1)
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f1072,plain,
( spl30_70
| spl30_56
| spl30_113
| spl30_82 ),
inference(avatar_split_clause,[],[f132,f808,f1029,f677,f751]) ).
fof(f132,plain,
( e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1071,plain,
( spl30_102
| spl30_54
| spl30_50
| spl30_57 ),
inference(avatar_split_clause,[],[f140,f681,f649,f667,f940]) ).
fof(f140,plain,
( e0 = op(e0,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1070,plain,
( ~ spl30_8
| spl30_7 ),
inference(avatar_split_clause,[],[f222,f460,f464]) ).
fof(f464,plain,
( spl30_8
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_8])]) ).
fof(f222,plain,
( e3 = op(e1,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& e3 = op(e1,e1)
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1069,plain,
( spl30_105
| spl30_79
| spl30_109
| spl30_41 ),
inference(avatar_split_clause,[],[f136,f608,f998,f795,f960]) ).
fof(f136,plain,
( e3 = op(e2,e2)
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1068,plain,
( ~ spl30_47
| ~ spl30_15
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f361,f630,f494,f634]) ).
fof(f361,plain,
( e2 != op(e1,e1)
| ~ sP0
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f1067,plain,
( spl30_37
| spl30_42
| spl30_90
| spl30_73 ),
inference(avatar_split_clause,[],[f129,f767,f849,f612,f589]) ).
fof(f129,plain,
( e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1066,plain,
( spl30_86
| spl30_93
| spl30_6
| spl30_98 ),
inference(avatar_split_clause,[],[f395,f921,f456,f877,f825]) ).
fof(f395,plain,
( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1065,plain,
( spl30_71
| ~ spl30_72 ),
inference(avatar_split_clause,[],[f205,f762,f757]) ).
fof(f205,plain,
( ~ sP28
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f1064,plain,
( ~ spl30_32
| ~ spl30_96
| ~ spl30_116 ),
inference(avatar_split_clause,[],[f115,f1061,f910,f565]) ).
fof(f115,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f1058,plain,
( ~ spl30_97
| ~ spl30_71
| ~ spl30_103 ),
inference(avatar_split_clause,[],[f118,f951,f757,f914]) ).
fof(f118,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1057,plain,
( ~ spl30_40
| ~ spl30_20 ),
inference(avatar_split_clause,[],[f422,f514,f603]) ).
fof(f422,plain,
( ~ sP11
| e1 != op(e1,e1) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f294,plain,
( e1 != op(e1,e1)
| e1 != op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e0 = op(e1,e0)
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& e0 = op(e0,e1)
& ( e0 != op(e1,e1)
| e1 != op(e1,e0) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1056,plain,
( ~ spl30_1
| ~ spl30_25
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f281,f442,f534,f434]) ).
fof(f281,plain,
( op(e0,e0) != e2
| ~ sP13
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e0,e1)
| op(e0,e0) != e1 )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) )
& e3 = op(e0,e3)
& e3 = op(e3,e0)
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f1054,plain,
( ~ spl30_22
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f423,f849,f522]) ).
fof(f423,plain,
( e2 != op(e2,e2)
| ~ sP5 ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f332,plain,
( e2 != op(e2,e2)
| ~ sP5
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1053,plain,
( spl30_76
| ~ spl30_25 ),
inference(avatar_split_clause,[],[f283,f534,f780]) ).
fof(f283,plain,
( ~ sP13
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1052,plain,
( spl30_51
| ~ spl30_11 ),
inference(avatar_split_clause,[],[f335,f478,f653]) ).
fof(f335,plain,
( ~ sP4
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f1051,plain,
( spl30_99
| spl30_41
| spl30_74
| spl30_29 ),
inference(avatar_split_clause,[],[f148,f551,f772,f608,f925]) ).
fof(f148,plain,
( e3 = op(e3,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1048,plain,
( spl30_73
| spl30_102
| spl30_67
| spl30_105 ),
inference(avatar_split_clause,[],[f389,f960,f737,f940,f767]) ).
fof(f389,plain,
( e3 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1047,plain,
( ~ spl30_65
| ~ spl30_115
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f408,f442,f1044,f717]) ).
fof(f408,plain,
( op(e0,e0) != e2
| e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(e0,op(e0,e0))
& op(e0,e0) = e2
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f1042,plain,
( ~ spl30_114
| ~ spl30_63
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f378,f677,f709,f1039]) ).
fof(f378,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f1037,plain,
( spl30_77
| ~ spl30_88
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f265,f713,f835,f785]) ).
fof(f835,plain,
( spl30_88
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_88])]) ).
fof(f265,plain,
( op(e0,e0) != e3
| ~ sP16
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e3 = op(e3,e3)
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1036,plain,
( spl30_113
| ~ spl30_16 ),
inference(avatar_split_clause,[],[f292,f498,f1029]) ).
fof(f292,plain,
( ~ sP12
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1035,plain,
( spl30_64
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f250,f872,f713]) ).
fof(f250,plain,
( ~ sP19
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1034,plain,
( ~ spl30_22
| spl30_47 ),
inference(avatar_split_clause,[],[f330,f634,f522]) ).
fof(f330,plain,
( e1 = op(e1,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f109]) ).
fof(f1032,plain,
( spl30_67
| spl30_40
| spl30_51
| spl30_113 ),
inference(avatar_split_clause,[],[f126,f1029,f653,f603,f737]) ).
fof(f126,plain,
( e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1027,plain,
( ~ spl30_3
| ~ spl30_16
| ~ spl30_1 ),
inference(avatar_split_clause,[],[f289,f434,f498,f442]) ).
fof(f289,plain,
( e0 != op(e0,e2)
| ~ sP12
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f1026,plain,
( ~ spl30_11
| ~ spl30_87 ),
inference(avatar_split_clause,[],[f424,f831,f478]) ).
fof(f424,plain,
( e3 != op(e3,e3)
| ~ sP4 ),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f336,plain,
( ~ sP4
| e3 != op(e3,e3)
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f1025,plain,
( spl30_31
| ~ spl30_32
| ~ spl30_68 ),
inference(avatar_split_clause,[],[f232,f742,f565,f561]) ).
fof(f232,plain,
( ~ sP23
| e0 != op(e3,e3)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f1024,plain,
( spl30_31
| ~ spl30_25 ),
inference(avatar_split_clause,[],[f282,f534,f561]) ).
fof(f282,plain,
( ~ sP13
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1023,plain,
( ~ spl30_57
| ~ spl30_56
| ~ spl30_12 ),
inference(avatar_split_clause,[],[f318,f482,f677,f681]) ).
fof(f318,plain,
( ~ sP7
| op(e0,e0) != e1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f1022,plain,
( ~ spl30_3
| ~ spl30_72
| spl30_1 ),
inference(avatar_split_clause,[],[f209,f434,f762,f442]) ).
fof(f209,plain,
( e0 = op(e0,e2)
| ~ sP28
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f1021,plain,
( ~ spl30_25
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f425,f658,f534]) ).
fof(f425,plain,
( e0 != op(e0,e0)
| ~ sP13 ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f286,plain,
( ~ sP13
| e0 != op(e0,e0)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1020,plain,
( ~ spl30_44
| ~ spl30_73
| ~ spl30_18 ),
inference(avatar_split_clause,[],[f328,f506,f767,f621]) ).
fof(f328,plain,
( ~ sP6
| e2 != op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ( e1 != op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& e0 = op(e2,e0)
& e0 = op(e0,e2)
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1019,plain,
( ~ spl30_112
| ~ spl30_104
| ~ spl30_5 ),
inference(avatar_split_clause,[],[f377,f451,f955,f1016]) ).
fof(f377,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f1014,plain,
( ~ spl30_46
| ~ spl30_47
| ~ spl30_10 ),
inference(avatar_split_clause,[],[f275,f473,f634,f630]) ).
fof(f275,plain,
( ~ sP14
| e1 != op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1003,plain,
( ~ spl30_12
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f426,f658,f482]) ).
fof(f426,plain,
( e0 != op(e0,e0)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( e0 != op(e0,e0)
| ~ sP7
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f1002,plain,
( ~ spl30_22
| ~ spl30_44
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f331,f767,f621,f522]) ).
fof(f331,plain,
( e2 != op(e2,e1)
| e1 != op(e2,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f109]) ).
fof(f1001,plain,
( spl30_69
| spl30_42
| spl30_109
| spl30_101 ),
inference(avatar_split_clause,[],[f385,f936,f998,f612,f747]) ).
fof(f385,plain,
( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f996,plain,
( ~ spl30_18
| spl30_80 ),
inference(avatar_split_clause,[],[f326,f799,f506]) ).
fof(f326,plain,
( e0 = op(e2,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f108]) ).
fof(f995,plain,
( ~ spl30_90
| ~ spl30_18 ),
inference(avatar_split_clause,[],[f427,f506,f849]) ).
fof(f427,plain,
( ~ sP6
| e2 != op(e2,e2) ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f323,plain,
( ~ sP6
| e2 != op(e2,e2)
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f994,plain,
( spl30_41
| ~ spl30_78 ),
inference(avatar_split_clause,[],[f255,f790,f608]) ).
fof(f255,plain,
( ~ sP18
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f993,plain,
( ~ spl30_68
| spl30_60 ),
inference(avatar_split_clause,[],[f230,f694,f742]) ).
fof(f230,plain,
( e0 = op(e2,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f91]) ).
fof(f991,plain,
( spl30_87
| spl30_9
| spl30_31
| spl30_29 ),
inference(avatar_split_clause,[],[f127,f551,f561,f469,f831]) ).
fof(f127,plain,
( e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f990,plain,
( spl30_55
| spl30_30
| spl30_68
| spl30_58
| spl30_88
| spl30_48
| spl30_4
| spl30_89
| spl30_8
| spl30_92
| spl30_78
| spl30_66
| spl30_2
| spl30_62
| spl30_72
| spl30_54 ),
inference(avatar_split_clause,[],[f375,f667,f762,f704,f438,f726,f790,f872,f464,f844,f447,f638,f835,f685,f742,f556,f672]) ).
fof(f672,plain,
( spl30_55
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_55])]) ).
fof(f638,plain,
( spl30_48
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_48])]) ).
fof(f844,plain,
( spl30_89
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_89])]) ).
fof(f726,plain,
( spl30_66
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_66])]) ).
fof(f375,plain,
( e0 = op(e1,e1)
| sP28
| sP26
| sP21
| sP27
| sP18
| sP19
| sP25
| sP17
| sP22
| sP20
| sP16
| sP15
| sP23
| sP29
| sP24 ),
inference(cnf_transformation,[],[f84]) ).
fof(f988,plain,
( spl30_35
| spl30_81
| spl30_107
| spl30_56 ),
inference(avatar_split_clause,[],[f149,f677,f975,f803,f579]) ).
fof(f149,plain,
( op(e0,e0) = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f986,plain,
( spl30_42
| ~ spl30_41
| ~ spl30_88 ),
inference(avatar_split_clause,[],[f266,f835,f608,f612]) ).
fof(f266,plain,
( ~ sP16
| e3 != op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f985,plain,
( ~ spl30_54
| ~ spl30_108
| ~ spl30_34 ),
inference(avatar_split_clause,[],[f398,f574,f982,f667]) ).
fof(f398,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f980,plain,
( ~ spl30_21
| spl30_29 ),
inference(avatar_split_clause,[],[f316,f551,f518]) ).
fof(f316,plain,
( e3 = op(e3,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f106]) ).
fof(f979,plain,
( ~ spl30_4
| ~ spl30_56
| spl30_57 ),
inference(avatar_split_clause,[],[f238,f681,f677,f447]) ).
fof(f238,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1
| ~ sP22 ),
inference(cnf_transformation,[],[f92]) ).
fof(f978,plain,
( spl30_107
| spl30_51
| spl30_5
| spl30_26 ),
inference(avatar_split_clause,[],[f124,f539,f451,f653,f975]) ).
fof(f124,plain,
( e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f968,plain,
( ~ spl30_32
| ~ spl30_55
| spl30_31 ),
inference(avatar_split_clause,[],[f229,f561,f672,f565]) ).
fof(f229,plain,
( e3 = op(e3,e0)
| ~ sP24
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& e0 = op(e3,e3)
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f78]) ).
fof(f967,plain,
( spl30_66
| spl30_72
| spl30_4
| ~ spl30_32
| spl30_30
| spl30_8
| spl30_88
| spl30_62
| spl30_2
| spl30_55
| spl30_48
| spl30_58
| spl30_92
| spl30_31
| spl30_78
| spl30_89
| spl30_68 ),
inference(avatar_split_clause,[],[f372,f742,f844,f790,f561,f872,f685,f638,f672,f438,f704,f835,f464,f556,f565,f447,f762,f726]) ).
fof(f372,plain,
( sP23
| sP17
| sP18
| e3 = op(e3,e0)
| sP19
| sP15
| sP20
| sP24
| sP21
| sP26
| sP16
| sP25
| sP29
| e0 != op(e3,e3)
| sP22
| sP28
| sP27 ),
inference(cnf_transformation,[],[f84]) ).
fof(f966,plain,
( ~ spl30_41
| ~ spl30_22
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f329,f612,f522,f608]) ).
fof(f329,plain,
( e2 != op(e2,e3)
| ~ sP5
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f965,plain,
( ~ spl30_24
| spl30_52 ),
inference(avatar_split_clause,[],[f308,f658,f530]) ).
fof(f308,plain,
( e0 = op(e0,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e0 = op(e0,e0)
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& e0 = op(e0,e0)
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f964,plain,
( ~ spl30_1
| ~ spl30_3
| ~ spl30_12 ),
inference(avatar_split_clause,[],[f320,f482,f442,f434]) ).
fof(f320,plain,
( ~ sP7
| op(e0,e0) != e2
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f963,plain,
( spl30_105
| spl30_75
| spl30_9
| spl30_7 ),
inference(avatar_split_clause,[],[f144,f460,f469,f776,f960]) ).
fof(f144,plain,
( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f958,plain,
( ~ spl30_103
| ~ spl30_104
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f413,f565,f955,f951]) ).
fof(f413,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f949,plain,
( spl30_85
| ~ spl30_15 ),
inference(avatar_split_clause,[],[f363,f494,f821]) ).
fof(f363,plain,
( ~ sP0
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f948,plain,
( spl30_77
| spl30_101
| spl30_32
| spl30_93 ),
inference(avatar_split_clause,[],[f119,f877,f565,f936,f785]) ).
fof(f119,plain,
( e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f947,plain,
( spl30_56
| ~ spl30_58 ),
inference(avatar_split_clause,[],[f271,f685,f677]) ).
fof(f271,plain,
( ~ sP15
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f946,plain,
( spl30_40
| spl30_46
| spl30_54
| spl30_7 ),
inference(avatar_split_clause,[],[f388,f460,f667,f630,f603]) ).
fof(f388,plain,
( e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f945,plain,
( ~ spl30_20
| ~ spl30_47
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f293,f630,f634,f514]) ).
fof(f293,plain,
( e2 != op(e1,e1)
| e1 != op(e1,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f103]) ).
fof(f944,plain,
( ~ spl30_23
| ~ spl30_31
| ~ spl30_32 ),
inference(avatar_split_clause,[],[f354,f565,f561,f526]) ).
fof(f354,plain,
( e0 != op(e3,e3)
| e3 != op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f943,plain,
( spl30_101
| spl30_60
| spl30_102
| spl30_80 ),
inference(avatar_split_clause,[],[f135,f799,f940,f694,f936]) ).
fof(f135,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f934,plain,
( ~ spl30_48
| ~ spl30_71
| spl30_29 ),
inference(avatar_split_clause,[],[f248,f551,f757,f638]) ).
fof(f248,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& op(e0,e0) = e2
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f74]) ).
fof(f933,plain,
( ~ spl30_56
| ~ spl30_25
| ~ spl30_57 ),
inference(avatar_split_clause,[],[f285,f681,f534,f677]) ).
fof(f285,plain,
( e0 != op(e0,e1)
| ~ sP13
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f932,plain,
( spl30_98
| spl30_99
| spl30_7
| spl30_100 ),
inference(avatar_split_clause,[],[f143,f929,f460,f925,f921]) ).
fof(f143,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f918,plain,
( ~ spl30_54
| spl30_88
| spl30_58
| spl30_92
| spl30_35
| spl30_62
| spl30_68
| spl30_66
| spl30_89
| spl30_72
| spl30_78
| spl30_30
| spl30_55
| spl30_2
| spl30_4
| spl30_8
| spl30_48 ),
inference(avatar_split_clause,[],[f371,f638,f464,f447,f438,f672,f556,f790,f762,f844,f726,f742,f704,f579,f872,f685,f835,f667]) ).
fof(f371,plain,
( sP20
| sP25
| sP22
| sP21
| sP24
| sP29
| sP18
| sP28
| sP17
| sP27
| sP23
| sP26
| e1 = op(e1,e0)
| sP19
| sP15
| sP16
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f917,plain,
( ~ spl30_96
| ~ spl30_97
| ~ spl30_5 ),
inference(avatar_split_clause,[],[f379,f451,f914,f910]) ).
fof(f379,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f908,plain,
( ~ spl30_19
| spl30_87 ),
inference(avatar_split_clause,[],[f345,f831,f510]) ).
fof(f345,plain,
( e3 = op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& e3 = op(e3,e3)
& ( e3 != op(e3,e2)
| e2 != op(e3,e3) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f907,plain,
( spl30_95
| spl30_73
| spl30_49
| spl30_46 ),
inference(avatar_split_clause,[],[f130,f630,f645,f767,f904]) ).
fof(f130,plain,
( e2 = op(e1,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f902,plain,
( ~ spl30_55
| ~ spl30_60
| spl30_37 ),
inference(avatar_split_clause,[],[f226,f589,f694,f672]) ).
fof(f226,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f90]) ).
fof(f901,plain,
( spl30_77
| ~ spl30_92
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f253,f713,f872,f785]) ).
fof(f253,plain,
( op(e0,e0) != e3
| ~ sP19
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f900,plain,
( spl30_80
| spl30_52
| spl30_36
| spl30_14 ),
inference(avatar_split_clause,[],[f120,f490,f584,f658,f799]) ).
fof(f120,plain,
( e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f899,plain,
( ~ spl30_18
| spl30_1 ),
inference(avatar_split_clause,[],[f325,f434,f506]) ).
fof(f325,plain,
( e0 = op(e0,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f108]) ).
fof(f898,plain,
( ~ spl30_48
| spl30_3 ),
inference(avatar_split_clause,[],[f246,f442,f638]) ).
fof(f246,plain,
( op(e0,e0) = e2
| ~ sP20 ),
inference(cnf_transformation,[],[f94]) ).
fof(f896,plain,
( spl30_57
| ~ spl30_20 ),
inference(avatar_split_clause,[],[f296,f514,f681]) ).
fof(f296,plain,
( ~ sP11
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f895,plain,
( spl30_62
| spl30_2
| spl30_92
| spl30_88
| spl30_55
| spl30_8
| spl30_30
| spl30_78
| spl30_89
| spl30_4
| ~ spl30_60
| spl30_66
| spl30_48
| spl30_68
| spl30_58
| spl30_72
| spl30_37 ),
inference(avatar_split_clause,[],[f374,f589,f762,f685,f742,f638,f726,f694,f447,f844,f790,f556,f464,f672,f835,f872,f438,f704]) ).
fof(f374,plain,
( e2 = op(e2,e0)
| sP28
| sP15
| sP23
| sP20
| sP27
| e0 != op(e2,e2)
| sP22
| sP17
| sP18
| sP29
| sP25
| sP24
| sP16
| sP19
| sP21
| sP26 ),
inference(cnf_transformation,[],[f84]) ).
fof(f894,plain,
( ~ spl30_33
| ~ spl30_53
| ~ spl30_46 ),
inference(avatar_split_clause,[],[f397,f630,f663,f570]) ).
fof(f397,plain,
( e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f893,plain,
( ~ spl30_60
| ~ spl30_37
| ~ spl30_21 ),
inference(avatar_split_clause,[],[f312,f518,f589,f694]) ).
fof(f312,plain,
( ~ sP8
| e2 != op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f892,plain,
( spl30_57
| spl30_1
| spl30_52
| spl30_77 ),
inference(avatar_split_clause,[],[f134,f785,f658,f434,f681]) ).
fof(f134,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f891,plain,
( spl30_52
| ~ spl30_66 ),
inference(avatar_split_clause,[],[f211,f726,f658]) ).
fof(f211,plain,
( ~ sP27
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& e0 = op(e0,e0)
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f81]) ).
fof(f890,plain,
( ~ spl30_89
| spl30_57
| ~ spl30_56 ),
inference(avatar_split_clause,[],[f261,f677,f681,f844]) ).
fof(f261,plain,
( op(e0,e0) != e1
| e0 = op(e0,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& e1 = op(e2,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f71]) ).
fof(f889,plain,
( spl30_56
| spl30_52
| spl30_64
| spl30_3 ),
inference(avatar_split_clause,[],[f380,f442,f713,f658,f677]) ).
fof(f380,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f888,plain,
( ~ spl30_87
| ~ spl30_19 ),
inference(avatar_split_clause,[],[f428,f510,f831]) ).
fof(f428,plain,
( ~ sP3
| e3 != op(e3,e3) ),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f346,plain,
( e3 != op(e3,e3)
| e3 != op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f111]) ).
fof(f887,plain,
( spl30_90
| spl30_60
| spl30_44
| spl30_41 ),
inference(avatar_split_clause,[],[f391,f608,f621,f694,f849]) ).
fof(f391,plain,
( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f886,plain,
( ~ spl30_5
| ~ spl30_89
| spl30_9 ),
inference(avatar_split_clause,[],[f262,f469,f844,f451]) ).
fof(f262,plain,
( e3 = op(e3,e1)
| ~ sP17
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f885,plain,
( ~ spl30_15
| ~ spl30_54
| ~ spl30_35 ),
inference(avatar_split_clause,[],[f359,f579,f667,f494]) ).
fof(f359,plain,
( e1 != op(e1,e0)
| e0 != op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f884,plain,
( spl30_93
| spl30_94
| spl30_54
| spl30_36 ),
inference(avatar_split_clause,[],[f141,f584,f667,f881,f877]) ).
fof(f141,plain,
( e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f875,plain,
( ~ spl30_7
| spl30_6
| ~ spl30_92 ),
inference(avatar_split_clause,[],[f251,f872,f456,f460]) ).
fof(f251,plain,
( ~ sP19
| e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f870,plain,
( ~ spl30_66
| ~ spl30_54
| spl30_35 ),
inference(avatar_split_clause,[],[f214,f579,f667,f726]) ).
fof(f214,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f87]) ).
fof(f869,plain,
( spl30_77
| ~ spl30_8
| ~ spl30_64 ),
inference(avatar_split_clause,[],[f223,f713,f464,f785]) ).
fof(f223,plain,
( op(e0,e0) != e3
| ~ sP25
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f868,plain,
( spl30_1
| ~ spl30_48
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f249,f442,f638,f434]) ).
fof(f249,plain,
( op(e0,e0) != e2
| ~ sP20
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f867,plain,
( spl30_73
| ~ spl30_44
| ~ spl30_58 ),
inference(avatar_split_clause,[],[f274,f685,f621,f767]) ).
fof(f274,plain,
( ~ sP15
| e1 != op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f865,plain,
( ~ spl30_7
| ~ spl30_6
| ~ spl30_20 ),
inference(avatar_split_clause,[],[f297,f514,f456,f460]) ).
fof(f297,plain,
( ~ sP11
| e1 != op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f864,plain,
( ~ spl30_5
| ~ spl30_9
| ~ spl30_23 ),
inference(avatar_split_clause,[],[f355,f526,f469,f451]) ).
fof(f355,plain,
( ~ sP1
| e3 != op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f863,plain,
( ~ spl30_21
| ~ spl30_90 ),
inference(avatar_split_clause,[],[f429,f849,f518]) ).
fof(f429,plain,
( e2 != op(e2,e2)
| ~ sP8 ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f313,plain,
( e2 != op(e2,e2)
| ~ sP8
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f862,plain,
( spl30_44
| ~ spl30_89 ),
inference(avatar_split_clause,[],[f260,f844,f621]) ).
fof(f260,plain,
( ~ sP17
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f861,plain,
( ~ spl30_44
| ~ spl30_91
| ~ spl30_61 ),
inference(avatar_split_clause,[],[f411,f698,f858,f621]) ).
fof(f411,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f856,plain,
( ~ spl30_7
| spl30_6
| ~ spl30_88 ),
inference(avatar_split_clause,[],[f267,f835,f456,f460]) ).
fof(f267,plain,
( ~ sP16
| e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f855,plain,
( ~ spl30_23
| spl30_42 ),
inference(avatar_split_clause,[],[f357,f612,f526]) ).
fof(f357,plain,
( e2 = op(e2,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f854,plain,
( ~ spl30_18
| ~ spl30_41
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f324,f612,f608,f506]) ).
fof(f324,plain,
( e2 != op(e2,e3)
| e3 != op(e2,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f108]) ).
fof(f853,plain,
( spl30_40
| spl30_6
| spl30_35
| spl30_47 ),
inference(avatar_split_clause,[],[f123,f634,f579,f456,f603]) ).
fof(f123,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f852,plain,
( spl30_28
| spl30_83
| spl30_85
| spl30_90 ),
inference(avatar_split_clause,[],[f138,f849,f821,f812,f547]) ).
fof(f138,plain,
( e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f847,plain,
( spl30_73
| ~ spl30_44
| ~ spl30_89 ),
inference(avatar_split_clause,[],[f264,f844,f621,f767]) ).
fof(f264,plain,
( ~ sP17
| e1 != op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f841,plain,
( ~ spl30_54
| spl30_35
| ~ spl30_55 ),
inference(avatar_split_clause,[],[f225,f672,f579,f667]) ).
fof(f225,plain,
( ~ sP24
| e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f840,plain,
( ~ spl30_52
| ~ spl30_16 ),
inference(avatar_split_clause,[],[f430,f498,f658]) ).
fof(f430,plain,
( ~ sP12
| e0 != op(e0,e0) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( e0 != op(e0,e0)
| ~ sP12
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f838,plain,
( spl30_87
| ~ spl30_88 ),
inference(avatar_split_clause,[],[f269,f835,f831]) ).
fof(f269,plain,
( ~ sP16
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f829,plain,
( spl30_47
| spl30_82
| spl30_26
| spl30_44 ),
inference(avatar_split_clause,[],[f131,f621,f539,f808,f634]) ).
fof(f131,plain,
( e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f828,plain,
( spl30_84
| spl30_46
| spl30_85
| spl30_86 ),
inference(avatar_split_clause,[],[f137,f825,f821,f630,f817]) ).
fof(f137,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f815,plain,
( spl30_82
| spl30_83
| spl30_74
| spl30_1 ),
inference(avatar_split_clause,[],[f386,f434,f772,f812,f808]) ).
fof(f386,plain,
( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f806,plain,
( spl30_79
| spl30_80
| spl30_81
| spl30_37 ),
inference(avatar_split_clause,[],[f393,f589,f803,f799,f795]) ).
fof(f393,plain,
( e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f793,plain,
( ~ spl30_7
| spl30_6
| ~ spl30_78 ),
inference(avatar_split_clause,[],[f257,f790,f456,f460]) ).
fof(f257,plain,
( ~ sP18
| e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f788,plain,
( spl30_22
| spl30_15
| spl30_24
| spl30_13
| spl30_21
| spl30_20
| spl30_77
| spl30_10
| spl30_17
| spl30_12
| spl30_19
| spl30_18
| spl30_23
| spl30_11
| spl30_16
| spl30_25 ),
inference(avatar_split_clause,[],[f369,f534,f498,f478,f526,f506,f510,f482,f502,f473,f785,f514,f518,f486,f530,f494,f522]) ).
fof(f369,plain,
( sP13
| sP12
| sP4
| sP1
| sP6
| sP3
| sP7
| sP10
| sP14
| e0 = op(e0,e3)
| sP11
| sP8
| sP2
| sP9
| sP0
| sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f783,plain,
( spl30_74
| spl30_75
| spl30_64
| spl30_76 ),
inference(avatar_split_clause,[],[f133,f780,f713,f776,f772]) ).
fof(f133,plain,
( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f770,plain,
( ~ spl30_73
| ~ spl30_21
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f315,f621,f518,f767]) ).
fof(f315,plain,
( e1 != op(e2,e2)
| ~ sP8
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f765,plain,
( spl30_47
| ~ spl30_46
| ~ spl30_72 ),
inference(avatar_split_clause,[],[f208,f762,f630,f634]) ).
fof(f208,plain,
( ~ sP28
| e2 != op(e1,e1)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f760,plain,
( ~ spl30_71
| ~ spl30_23
| ~ spl30_29 ),
inference(avatar_split_clause,[],[f358,f551,f526,f757]) ).
fof(f358,plain,
( e3 != op(e3,e2)
| ~ sP1
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f755,plain,
( ~ spl30_10
| ~ spl30_35
| ~ spl30_54 ),
inference(avatar_split_clause,[],[f280,f667,f579,f473]) ).
fof(f280,plain,
( e0 != op(e1,e1)
| e1 != op(e1,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f100]) ).
fof(f754,plain,
( spl30_6
| spl30_5
| spl30_69
| spl30_70 ),
inference(avatar_split_clause,[],[f146,f751,f747,f451,f456]) ).
fof(f146,plain,
( e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f745,plain,
( spl30_37
| ~ spl30_68
| ~ spl30_60 ),
inference(avatar_split_clause,[],[f231,f694,f742,f589]) ).
fof(f231,plain,
( e0 != op(e2,e2)
| ~ sP23
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f740,plain,
( spl30_67
| ~ spl30_22 ),
inference(avatar_split_clause,[],[f334,f522,f737]) ).
fof(f334,plain,
( ~ sP5
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f735,plain,
( ~ spl30_66
| ~ spl30_32
| spl30_31 ),
inference(avatar_split_clause,[],[f210,f561,f565,f726]) ).
fof(f210,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f87]) ).
fof(f734,plain,
( ~ spl30_8
| ~ spl30_41
| spl30_42 ),
inference(avatar_split_clause,[],[f224,f612,f608,f464]) ).
fof(f224,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f89]) ).
fof(f733,plain,
( ~ spl30_56
| ~ spl30_30
| spl30_57 ),
inference(avatar_split_clause,[],[f201,f681,f556,f677]) ).
fof(f201,plain,
( e0 = op(e0,e1)
| ~ sP29
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f732,plain,
( ~ spl30_24
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f431,f658,f530]) ).
fof(f431,plain,
( e0 != op(e0,e0)
| ~ sP9 ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f306,plain,
( e0 != op(e0,e0)
| e0 != op(e0,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f105]) ).
fof(f731,plain,
( spl30_47
| ~ spl30_46
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f242,f438,f630,f634]) ).
fof(f242,plain,
( ~ sP21
| e2 != op(e1,e1)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f730,plain,
( ~ spl30_40
| ~ spl30_10 ),
inference(avatar_split_clause,[],[f432,f473,f603]) ).
fof(f432,plain,
( ~ sP14
| e1 != op(e1,e1) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
( e1 != op(e1,e1)
| e1 != op(e1,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f100]) ).
fof(f729,plain,
( ~ spl30_66
| ~ spl30_60
| spl30_37 ),
inference(avatar_split_clause,[],[f212,f589,f694,f726]) ).
fof(f212,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f87]) ).
fof(f723,plain,
( ~ spl30_2
| spl30_46 ),
inference(avatar_split_clause,[],[f243,f630,f438]) ).
fof(f243,plain,
( e2 = op(e1,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f93]) ).
fof(f722,plain,
( spl30_32
| spl30_27
| spl30_14
| spl30_50 ),
inference(avatar_split_clause,[],[f122,f649,f490,f543,f565]) ).
fof(f122,plain,
( e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f721,plain,
( ~ spl30_11
| ~ spl30_32
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f339,f561,f565,f478]) ).
fof(f339,plain,
( e3 != op(e3,e0)
| e0 != op(e3,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f110]) ).
fof(f707,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_62 ),
inference(avatar_split_clause,[],[f215,f704,f442,f434]) ).
fof(f215,plain,
( ~ sP26
| op(e0,e0) != e2
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f702,plain,
( ~ spl30_7
| ~ spl30_6
| ~ spl30_15 ),
inference(avatar_split_clause,[],[f360,f494,f456,f460]) ).
fof(f360,plain,
( ~ sP0
| e1 != op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f701,plain,
( ~ spl30_59
| ~ spl30_60
| ~ spl30_61 ),
inference(avatar_split_clause,[],[f410,f698,f694,f690]) ).
fof(f410,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f688,plain,
( ~ spl30_56
| spl30_57
| ~ spl30_58 ),
inference(avatar_split_clause,[],[f272,f685,f681,f677]) ).
fof(f272,plain,
( ~ sP15
| e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f675,plain,
( ~ spl30_55
| spl30_32 ),
inference(avatar_split_clause,[],[f227,f565,f672]) ).
fof(f227,plain,
( e0 = op(e3,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f90]) ).
fof(f670,plain,
( ~ spl30_53
| ~ spl30_54
| ~ spl30_38 ),
inference(avatar_split_clause,[],[f409,f594,f667,f663]) ).
fof(f409,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f656,plain,
( spl30_49
| spl30_50
| spl30_9
| spl30_51 ),
inference(avatar_split_clause,[],[f394,f653,f469,f649,f645]) ).
fof(f394,plain,
( e1 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f643,plain,
( spl30_6
| ~ spl30_11 ),
inference(avatar_split_clause,[],[f338,f478,f456]) ).
fof(f338,plain,
( ~ sP4
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f641,plain,
( ~ spl30_46
| spl30_47
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f247,f638,f634,f630]) ).
fof(f247,plain,
( ~ sP20
| e1 = op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f628,plain,
( ~ spl30_43
| ~ spl30_44
| ~ spl30_45 ),
inference(avatar_split_clause,[],[f400,f625,f621,f617]) ).
fof(f400,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f606,plain,
( spl30_40
| ~ spl30_30 ),
inference(avatar_split_clause,[],[f203,f556,f603]) ).
fof(f203,plain,
( ~ sP29
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f601,plain,
( ~ spl30_7
| ~ spl30_38
| ~ spl30_39 ),
inference(avatar_split_clause,[],[f415,f598,f594,f460]) ).
fof(f415,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f592,plain,
( ~ spl30_12
| spl30_37 ),
inference(avatar_split_clause,[],[f322,f589,f482]) ).
fof(f322,plain,
( e2 = op(e2,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f107]) ).
fof(f587,plain,
( spl30_36
| ~ spl30_20 ),
inference(avatar_split_clause,[],[f298,f514,f584]) ).
fof(f298,plain,
( ~ sP11
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f582,plain,
( ~ spl30_16
| spl30_35 ),
inference(avatar_split_clause,[],[f290,f579,f498]) ).
fof(f290,plain,
( e1 = op(e1,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f102]) ).
fof(f577,plain,
( ~ spl30_33
| ~ spl30_7
| ~ spl30_34 ),
inference(avatar_split_clause,[],[f407,f574,f460,f570]) ).
fof(f407,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f559,plain,
( ~ spl30_5
| ~ spl30_30
| spl30_9 ),
inference(avatar_split_clause,[],[f204,f469,f556,f451]) ).
fof(f204,plain,
( e3 = op(e3,e1)
| ~ sP29
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f85]) ).
fof(f554,plain,
( spl30_26
| spl30_27
| spl30_28
| spl30_29 ),
inference(avatar_split_clause,[],[f381,f551,f547,f543,f539]) ).
fof(f381,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f537,plain,
( spl30_11
| spl30_12
| spl30_13
| spl30_14
| spl30_15
| spl30_16
| spl30_17
| spl30_18
| spl30_19
| spl30_20
| spl30_21
| spl30_22
| spl30_23
| spl30_24
| spl30_25
| spl30_10 ),
inference(avatar_split_clause,[],[f368,f473,f534,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478]) ).
fof(f368,plain,
( sP14
| sP13
| sP9
| sP1
| sP5
| sP8
| sP11
| sP3
| sP6
| sP10
| sP12
| sP0
| e0 = op(e3,e0)
| sP2
| sP7
| sP4 ),
inference(cnf_transformation,[],[f84]) ).
fof(f476,plain,
( spl30_9
| ~ spl30_10 ),
inference(avatar_split_clause,[],[f279,f473,f469]) ).
fof(f279,plain,
( ~ sP14
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f467,plain,
( spl30_6
| ~ spl30_7
| ~ spl30_8 ),
inference(avatar_split_clause,[],[f221,f464,f460,f456]) ).
fof(f221,plain,
( ~ sP25
| e3 != op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f454,plain,
( ~ spl30_4
| spl30_5 ),
inference(avatar_split_clause,[],[f236,f451,f447]) ).
fof(f236,plain,
( e1 = op(e3,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f92]) ).
fof(f445,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f244,f442,f438,f434]) ).
fof(f244,plain,
( op(e0,e0) != e2
| ~ sP21
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG153+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 14:59:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (24116)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (24108)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (24114)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54 % (24100)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (24106)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56 % (24100)Instruction limit reached!
% 0.21/0.56 % (24100)------------------------------
% 0.21/0.56 % (24100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (24100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (24100)Termination reason: Unknown
% 0.21/0.56 % (24100)Termination phase: Naming
% 0.21/0.56
% 0.21/0.56 % (24100)Memory used [KB]: 1023
% 0.21/0.56 % (24100)Time elapsed: 0.004 s
% 0.21/0.56 % (24100)Instructions burned: 3 (million)
% 0.21/0.56 % (24100)------------------------------
% 0.21/0.56 % (24100)------------------------------
% 0.21/0.58 % (24103)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58 % (24098)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.48/0.58 % (24092)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.48/0.59 % (24102)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.59 % (24101)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.48/0.59 % (24094)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.48/0.60 % (24104)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.48/0.60 % (24113)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.66/0.61 % (24096)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.61 % (24121)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.66/0.62 % (24120)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.66/0.62 % (24118)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.66/0.62 % (24112)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.66/0.63 % (24099)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.66/0.63 % (24110)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.63 % (24109)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.66/0.63 % (24093)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.66/0.63 % (24097)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.66/0.64 % (24105)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.66/0.64 % (24119)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.66/0.65 % (24117)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.99/0.65 % (24111)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.99/0.65 % (24099)Instruction limit reached!
% 1.99/0.65 % (24099)------------------------------
% 1.99/0.65 % (24099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.65 % (24099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.65 % (24099)Termination reason: Unknown
% 1.99/0.65 % (24099)Termination phase: Property scanning
% 1.99/0.65
% 1.99/0.65 % (24099)Memory used [KB]: 1023
% 1.99/0.65 % (24099)Time elapsed: 0.007 s
% 1.99/0.65 % (24099)Instructions burned: 8 (million)
% 1.99/0.65 % (24099)------------------------------
% 1.99/0.65 % (24099)------------------------------
% 1.99/0.66 % (24095)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.99/0.66 TRYING [4]
% 1.99/0.68 % (24115)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.99/0.68 TRYING [4]
% 1.99/0.68 % (24094)Instruction limit reached!
% 1.99/0.68 % (24094)------------------------------
% 1.99/0.68 % (24094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.68 % (24094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.68 % (24094)Termination reason: Unknown
% 1.99/0.68 % (24094)Termination phase: Saturation
% 1.99/0.68
% 1.99/0.68 % (24094)Memory used [KB]: 1279
% 1.99/0.68 % (24094)Time elapsed: 0.232 s
% 1.99/0.68 % (24094)Instructions burned: 38 (million)
% 1.99/0.68 % (24094)------------------------------
% 1.99/0.68 % (24094)------------------------------
% 1.99/0.69 % (24107)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.99/0.70 % (24098)Instruction limit reached!
% 1.99/0.70 % (24098)------------------------------
% 1.99/0.70 % (24098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.70 % (24098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.70 % (24098)Termination reason: Unknown
% 1.99/0.70 % (24098)Termination phase: Finite model building constraint generation
% 1.99/0.70
% 1.99/0.70 % (24098)Memory used [KB]: 7675
% 1.99/0.70 % (24098)Time elapsed: 0.264 s
% 1.99/0.70 % (24098)Instructions burned: 51 (million)
% 1.99/0.70 % (24098)------------------------------
% 1.99/0.70 % (24098)------------------------------
% 1.99/0.72 % (24101)Instruction limit reached!
% 1.99/0.72 % (24101)------------------------------
% 1.99/0.72 % (24101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.72 % (24101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.72 % (24101)Termination reason: Unknown
% 1.99/0.72 % (24101)Termination phase: Saturation
% 1.99/0.72
% 1.99/0.72 % (24101)Memory used [KB]: 1535
% 1.99/0.72 % (24101)Time elapsed: 0.287 s
% 1.99/0.72 % (24101)Instructions burned: 52 (million)
% 1.99/0.72 % (24101)------------------------------
% 1.99/0.72 % (24101)------------------------------
% 1.99/0.73 % (24096)Instruction limit reached!
% 1.99/0.73 % (24096)------------------------------
% 1.99/0.73 % (24096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.73 % (24096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.73 % (24096)Termination reason: Unknown
% 1.99/0.73 % (24096)Termination phase: Saturation
% 1.99/0.73
% 1.99/0.73 % (24096)Memory used [KB]: 6396
% 1.99/0.73 % (24096)Time elapsed: 0.040 s
% 1.99/0.73 % (24096)Instructions burned: 51 (million)
% 1.99/0.73 % (24096)------------------------------
% 1.99/0.73 % (24096)------------------------------
% 1.99/0.73 TRYING [5]
% 1.99/0.73 % (24102)Instruction limit reached!
% 1.99/0.73 % (24102)------------------------------
% 1.99/0.73 % (24102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.73 % (24102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.73 % (24102)Termination reason: Unknown
% 1.99/0.73 % (24102)Termination phase: Saturation
% 1.99/0.73
% 1.99/0.73 % (24102)Memory used [KB]: 6780
% 1.99/0.73 % (24102)Time elapsed: 0.038 s
% 1.99/0.73 % (24102)Instructions burned: 51 (million)
% 1.99/0.73 % (24102)------------------------------
% 1.99/0.73 % (24102)------------------------------
% 1.99/0.73 % (24108)Instruction limit reached!
% 1.99/0.73 % (24108)------------------------------
% 1.99/0.73 % (24108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.74 TRYING [4]
% 1.99/0.74 % (24108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.74 % (24108)Termination reason: Unknown
% 1.99/0.74 % (24108)Termination phase: Saturation
% 1.99/0.74
% 1.99/0.74 % (24108)Memory used [KB]: 6396
% 1.99/0.74 % (24108)Time elapsed: 0.305 s
% 1.99/0.74 % (24108)Instructions burned: 99 (million)
% 1.99/0.74 % (24108)------------------------------
% 1.99/0.74 % (24108)------------------------------
% 1.99/0.74 % (24093)Instruction limit reached!
% 1.99/0.74 % (24093)------------------------------
% 1.99/0.74 % (24093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.74 % (24093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.74 % (24093)Termination reason: Unknown
% 1.99/0.74 % (24093)Termination phase: Saturation
% 1.99/0.74
% 1.99/0.74 % (24093)Memory used [KB]: 6396
% 1.99/0.74 % (24093)Time elapsed: 0.039 s
% 1.99/0.74 % (24093)Instructions burned: 50 (million)
% 1.99/0.74 % (24093)------------------------------
% 1.99/0.74 % (24093)------------------------------
% 1.99/0.74 % (24106)Instruction limit reached!
% 1.99/0.74 % (24106)------------------------------
% 1.99/0.74 % (24106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.74 % (24106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.74 % (24106)Termination reason: Unknown
% 1.99/0.74 % (24106)Termination phase: Saturation
% 1.99/0.74
% 1.99/0.74 % (24106)Memory used [KB]: 6652
% 1.99/0.74 % (24106)Time elapsed: 0.049 s
% 1.99/0.74 % (24106)Instructions burned: 69 (million)
% 1.99/0.74 % (24106)------------------------------
% 1.99/0.74 % (24106)------------------------------
% 2.70/0.76 % (24103)Instruction limit reached!
% 2.70/0.76 % (24103)------------------------------
% 2.70/0.76 % (24103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.76 % (24103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.76 % (24103)Termination reason: Unknown
% 2.70/0.76 % (24103)Termination phase: Saturation
% 2.70/0.76
% 2.70/0.76 % (24103)Memory used [KB]: 7419
% 2.70/0.76 % (24103)Time elapsed: 0.319 s
% 2.70/0.76 % (24103)Instructions burned: 101 (million)
% 2.70/0.76 % (24103)------------------------------
% 2.70/0.76 % (24103)------------------------------
% 2.70/0.77 % (24118)Instruction limit reached!
% 2.70/0.77 % (24118)------------------------------
% 2.70/0.77 % (24118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (24118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (24118)Termination reason: Unknown
% 2.70/0.77 % (24118)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (24118)Memory used [KB]: 6652
% 2.70/0.77 % (24118)Time elapsed: 0.050 s
% 2.70/0.77 % (24118)Instructions burned: 68 (million)
% 2.70/0.77 % (24118)------------------------------
% 2.70/0.77 % (24118)------------------------------
% 2.70/0.77 % (24097)Instruction limit reached!
% 2.70/0.77 % (24097)------------------------------
% 2.70/0.77 % (24097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (24097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (24097)Termination reason: Unknown
% 2.70/0.77 % (24097)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (24097)Memory used [KB]: 6268
% 2.70/0.77 % (24097)Time elapsed: 0.289 s
% 2.70/0.77 % (24097)Instructions burned: 48 (million)
% 2.70/0.77 % (24097)------------------------------
% 2.70/0.77 % (24097)------------------------------
% 2.70/0.78 % (24109)Instruction limit reached!
% 2.70/0.78 % (24109)------------------------------
% 2.70/0.78 % (24109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.78 % (24109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.78 % (24109)Termination reason: Unknown
% 2.70/0.78 % (24109)Termination phase: Finite model building SAT solving
% 2.70/0.78
% 2.70/0.78 % (24109)Memory used [KB]: 7931
% 2.70/0.78 % (24109)Time elapsed: 0.312 s
% 2.70/0.78 % (24109)Instructions burned: 60 (million)
% 2.70/0.78 % (24109)------------------------------
% 2.70/0.78 % (24109)------------------------------
% 2.70/0.78 % (24120)First to succeed.
% 2.95/0.81 % (24154)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.95/0.81 TRYING [6]
% 2.95/0.84 % (24116)Also succeeded, but the first one will report.
% 2.95/0.84 % (24113)Also succeeded, but the first one will report.
% 2.95/0.84 % (24120)Refutation found. Thanks to Tanya!
% 2.95/0.84 % SZS status Unsatisfiable for theBenchmark
% 2.95/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.12/0.85 % (24120)------------------------------
% 3.12/0.85 % (24120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.85 % (24120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.85 % (24120)Termination reason: Refutation
% 3.12/0.85
% 3.12/0.85 % (24120)Memory used [KB]: 7036
% 3.12/0.85 % (24120)Time elapsed: 0.099 s
% 3.12/0.85 % (24120)Instructions burned: 80 (million)
% 3.12/0.85 % (24120)------------------------------
% 3.12/0.85 % (24120)------------------------------
% 3.12/0.85 % (24091)Success in time 0.471 s
%------------------------------------------------------------------------------