TSTP Solution File: ALG147+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG147+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:43:05 EDT 2022
% Result : Unsatisfiable 3.04s 0.78s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 160
% Syntax : Number of formulae : 1438 ( 55 unt; 0 def)
% Number of atoms : 4292 (1676 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 5479 (2625 ~;2349 |; 389 &)
% ( 116 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 133 ( 131 usr; 132 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5534,plain,
$false,
inference(avatar_sat_refutation,[],[f327,f336,f362,f371,f376,f385,f399,f408,f417,f426,f431,f448,f461,f466,f483,f496,f509,f510,f511,f512,f525,f538,f547,f557,f558,f559,f560,f569,f570,f571,f580,f581,f591,f596,f601,f602,f611,f616,f621,f623,f649,f666,f679,f680,f681,f690,f691,f692,f694,f703,f708,f717,f722,f723,f732,f737,f742,f744,f749,f754,f755,f764,f774,f775,f776,f777,f778,f779,f780,f781,f782,f787,f792,f793,f802,f819,f820,f825,f826,f827,f828,f829,f830,f839,f840,f841,f842,f843,f845,f846,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f869,f870,f871,f872,f873,f875,f876,f881,f887,f888,f889,f890,f891,f892,f893,f898,f899,f900,f901,f906,f907,f908,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f956,f957,f958,f978,f1030,f1031,f1043,f1051,f1087,f1093,f1104,f1114,f1117,f1126,f1130,f1142,f1147,f1151,f1199,f1249,f1260,f1277,f1331,f1339,f1379,f1383,f1391,f1455,f1493,f1508,f1535,f1547,f1557,f1566,f1573,f1591,f1609,f1629,f1635,f1651,f1676,f1681,f1693,f1699,f1705,f1707,f1713,f1720,f1765,f1785,f1790,f1794,f1802,f1806,f1814,f1816,f1818,f1822,f1825,f1849,f1874,f1896,f1902,f1915,f1918,f1945,f1958,f1964,f2023,f2029,f2057,f2078,f2083,f2124,f2134,f2158,f2165,f2179,f2188,f2195,f2230,f2265,f2273,f2280,f2302,f2382,f2394,f2397,f2417,f2443,f2495,f2514,f2519,f2547,f2557,f2582,f2608,f2610,f2612,f2617,f2619,f2622,f2631,f2634,f2672,f2682,f2724,f2757,f2759,f2762,f2766,f2772,f2773,f2776,f2779,f2785,f2790,f2837,f2845,f2869,f2874,f2883,f2919,f2926,f2946,f2958,f2962,f3024,f3039,f3108,f3127,f3133,f3135,f3180,f3183,f3190,f3192,f3219,f3230,f3231,f3238,f3250,f3254,f3260,f3263,f3274,f3286,f3351,f3355,f3358,f3360,f3393,f3399,f3406,f3407,f3421,f3425,f3443,f3454,f3455,f3521,f3529,f3548,f3576,f3602,f3605,f3618,f3619,f3624,f3632,f3644,f3656,f3659,f3707,f3710,f3752,f3756,f3759,f3761,f3771,f3775,f3780,f3788,f3804,f3864,f3880,f3919,f3935,f3936,f3945,f3956,f3966,f3977,f3994,f4069,f4088,f4092,f4100,f4108,f4110,f4121,f4131,f4172,f4185,f4251,f4256,f4262,f4266,f4274,f4286,f4292,f4306,f4317,f4341,f4355,f4441,f4452,f4454,f4472,f4474,f4481,f4486,f4531,f4538,f4574,f4582,f4592,f4609,f4612,f4627,f4631,f4633,f4634,f4643,f4667,f4678,f4708,f4716,f4719,f4726,f4734,f4736,f4751,f4756,f4757,f4807,f4828,f4830,f4832,f4835,f4845,f4846,f4852,f4862,f4865,f4868,f4878,f4880,f4886,f4887,f4896,f4903,f4911,f4917,f4948,f4965,f5009,f5011,f5015,f5018,f5022,f5025,f5029,f5035,f5054,f5057,f5062,f5074,f5075,f5119,f5134,f5149,f5164,f5167,f5199,f5206,f5208,f5214,f5253,f5275,f5308,f5348,f5351,f5352,f5353,f5356,f5360,f5361,f5363,f5366,f5369,f5373,f5381,f5384,f5387,f5390,f5394,f5401,f5412,f5417,f5421,f5435,f5460]) ).
fof(f5460,plain,
( ~ spl15_49
| ~ spl15_75
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f5459]) ).
fof(f5459,plain,
( $false
| ~ spl15_49
| ~ spl15_75
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f5458,f283]) ).
fof(f283,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e1 != e3
& e1 != e2
& e0 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5458,plain,
( e0 = e2
| ~ spl15_49
| ~ spl15_75
| ~ spl15_82 ),
inference(forward_demodulation,[],[f5456,f528]) ).
fof(f528,plain,
( e0 = op(e2,e2)
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl15_49
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f5456,plain,
( e2 = op(e2,e2)
| ~ spl15_75
| ~ spl15_82 ),
inference(backward_demodulation,[],[f657,f689]) ).
fof(f689,plain,
( e2 = op(e2,e0)
| ~ spl15_82 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl15_82
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f657,plain,
( op(e2,e0) = op(op(e2,e0),e2)
| ~ spl15_75 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl15_75
<=> op(e2,e0) = op(op(e2,e0),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f5435,plain,
( ~ spl15_46
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f5434,f789,f514]) ).
fof(f514,plain,
( spl15_46
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f789,plain,
( spl15_100
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f5434,plain,
( e0 != op(e3,e1)
| ~ spl15_100 ),
inference(forward_demodulation,[],[f139,f791]) ).
fof(f791,plain,
( e0 = op(e3,e0)
| ~ spl15_100 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f139,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e0,e2) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e3,e0) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e2,e0) != op(e2,e2)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e1,e1)
& op(e1,e1) != op(e1,e3)
& op(e3,e1) != op(e3,e2)
& op(e1,e3) != op(e2,e3)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e0,e0) != op(e0,e2)
& op(e1,e1) != op(e3,e1)
& op(e0,e1) != op(e0,e2)
& op(e2,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e3) != op(e3,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e0) != op(e0,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e3,e0)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e1,e2) != op(e3,e2)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e1,e2)
& op(e0,e0) != op(e2,e0)
& op(e1,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e0,e0) != op(e0,e1)
& op(e0,e1) != op(e3,e1)
& op(e3,e2) != op(e3,e3)
& op(e0,e1) != op(e0,e3)
& op(e1,e1) != op(e2,e1)
& op(e0,e3) != op(e1,e3)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e3,e3)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e0,e0) != op(e1,e0)
& op(e0,e2) != op(e0,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f5421,plain,
( ~ spl15_19
| ~ spl15_112 ),
inference(avatar_contradiction_clause,[],[f5420]) ).
fof(f5420,plain,
( $false
| ~ spl15_19
| ~ spl15_112 ),
inference(subsumption_resolution,[],[f5419,f282]) ).
fof(f282,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f5419,plain,
( e1 = e3
| ~ spl15_19
| ~ spl15_112 ),
inference(forward_demodulation,[],[f5418,f392]) ).
fof(f392,plain,
( e3 = op(e3,e3)
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl15_19
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f5418,plain,
( e1 = op(e3,e3)
| ~ spl15_19
| ~ spl15_112 ),
inference(forward_demodulation,[],[f885,f392]) ).
fof(f885,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl15_112 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl15_112
<=> e1 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f5417,plain,
( ~ spl15_2
| ~ spl15_19 ),
inference(avatar_contradiction_clause,[],[f5416]) ).
fof(f5416,plain,
( $false
| ~ spl15_2
| ~ spl15_19 ),
inference(subsumption_resolution,[],[f5415,f318]) ).
fof(f318,plain,
( e3 = op(e2,e3)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl15_2
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f5415,plain,
( e3 != op(e2,e3)
| ~ spl15_19 ),
inference(forward_demodulation,[],[f153,f392]) ).
fof(f153,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5412,plain,
( ~ spl15_22
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f5410,f767,f405]) ).
fof(f405,plain,
( spl15_22
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f767,plain,
( spl15_97
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f5410,plain,
( e3 != op(e0,e3)
| ~ spl15_97 ),
inference(backward_demodulation,[],[f151,f769]) ).
fof(f769,plain,
( op(e0,e0) = e3
| ~ spl15_97 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f151,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5401,plain,
( ~ spl15_55
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f5400,f454,f554]) ).
fof(f554,plain,
( spl15_55
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f454,plain,
( spl15_33
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f5400,plain,
( e3 != op(e3,e1)
| ~ spl15_33 ),
inference(forward_demodulation,[],[f160,f456]) ).
fof(f456,plain,
( e3 = op(e1,e1)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f160,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5394,plain,
( spl15_6
| ~ spl15_47
| ~ spl15_69 ),
inference(avatar_split_clause,[],[f5393,f629,f518,f333]) ).
fof(f333,plain,
( spl15_6
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f518,plain,
( spl15_47
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
fof(f629,plain,
( spl15_69
<=> op(e0,e1) = op(op(e0,e1),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f5393,plain,
( e0 = op(e0,e0)
| ~ spl15_47
| ~ spl15_69 ),
inference(forward_demodulation,[],[f631,f520]) ).
fof(f520,plain,
( e0 = op(e0,e1)
| ~ spl15_47 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f631,plain,
( op(e0,e1) = op(op(e0,e1),e0)
| ~ spl15_69 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f5390,plain,
( ~ spl15_32
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f5389,f850,f450]) ).
fof(f450,plain,
( spl15_32
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f850,plain,
( spl15_110
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f5389,plain,
( e1 != op(e1,e1)
| ~ spl15_110 ),
inference(forward_demodulation,[],[f131,f852]) ).
fof(f852,plain,
( e1 = op(e1,e0)
| ~ spl15_110 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f131,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5387,plain,
( ~ spl15_28
| ~ spl15_52 ),
inference(avatar_contradiction_clause,[],[f5386]) ).
fof(f5386,plain,
( $false
| ~ spl15_28
| ~ spl15_52 ),
inference(subsumption_resolution,[],[f5385,f283]) ).
fof(f5385,plain,
( e0 = e2
| ~ spl15_28
| ~ spl15_52 ),
inference(forward_demodulation,[],[f542,f435]) ).
fof(f435,plain,
( e2 = op(e1,e3)
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl15_28
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f542,plain,
( e0 = op(e1,e3)
| ~ spl15_52 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl15_52
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f5384,plain,
( ~ spl15_61
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f5332,f338,f588]) ).
fof(f588,plain,
( spl15_61
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f338,plain,
( spl15_7
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f5332,plain,
( e1 != op(e2,e0)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f163,f339]) ).
fof(f339,plain,
( e1 = op(e2,e1)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f163,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5381,plain,
( ~ spl15_22
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f5379,f316,f405]) ).
fof(f5379,plain,
( e3 != op(e0,e3)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f140,f318]) ).
fof(f140,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5373,plain,
( ~ spl15_22
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f5372,f391,f405]) ).
fof(f5372,plain,
( e3 != op(e0,e3)
| ~ spl15_19 ),
inference(forward_demodulation,[],[f130,f392]) ).
fof(f130,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5369,plain,
( ~ spl15_6
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f5368,f789,f333]) ).
fof(f5368,plain,
( e0 != op(e0,e0)
| ~ spl15_100 ),
inference(forward_demodulation,[],[f144,f791]) ).
fof(f144,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f5366,plain,
( ~ spl15_80
| spl15_76
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f5263,f789,f659,f676]) ).
fof(f676,plain,
( spl15_80
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f659,plain,
( spl15_76
<=> op(e3,e0) = op(op(e3,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f5263,plain,
( e0 != op(e0,e3)
| spl15_76
| ~ spl15_100 ),
inference(backward_demodulation,[],[f660,f791]) ).
fof(f660,plain,
( op(e3,e0) != op(op(e3,e0),e3)
| spl15_76 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f5363,plain,
( ~ spl15_33
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f5362,f604,f454]) ).
fof(f604,plain,
( spl15_64
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f5362,plain,
( e3 != op(e1,e1)
| ~ spl15_64 ),
inference(forward_demodulation,[],[f149,f606]) ).
fof(f606,plain,
( e3 = op(e1,e2)
| ~ spl15_64 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f149,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5361,plain,
( ~ spl15_21
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f5358,f391,f401]) ).
fof(f401,plain,
( spl15_21
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f5358,plain,
( e3 != op(e1,e3)
| ~ spl15_19 ),
inference(backward_demodulation,[],[f141,f392]) ).
fof(f141,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5360,plain,
( ~ spl15_55
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f5359,f391,f554]) ).
fof(f5359,plain,
( e3 != op(e3,e1)
| ~ spl15_19 ),
inference(backward_demodulation,[],[f128,f392]) ).
fof(f128,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5356,plain,
( spl15_85
| ~ spl15_49
| ~ spl15_105 ),
inference(avatar_split_clause,[],[f5355,f812,f527,f705]) ).
fof(f705,plain,
( spl15_85
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f812,plain,
( spl15_105
<=> op(e2,e2) = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f5355,plain,
( e0 = op(e0,e2)
| ~ spl15_49
| ~ spl15_105 ),
inference(backward_demodulation,[],[f814,f528]) ).
fof(f814,plain,
( op(e2,e2) = op(op(e2,e2),e2)
| ~ spl15_105 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f5353,plain,
( ~ spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f5298,f359,f355]) ).
fof(f355,plain,
( spl15_11
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f359,plain,
( spl15_12
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f5298,plain,
( e1 != op(e2,e2)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f155,f361]) ).
fof(f361,plain,
( e1 = op(e3,e2)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f155,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5352,plain,
( ~ spl15_9
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f5271,f359,f347]) ).
fof(f347,plain,
( spl15_9
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f5271,plain,
( e1 != op(e0,e2)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f156,f361]) ).
fof(f156,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5351,plain,
( ~ spl15_6
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f5350,f518,f333]) ).
fof(f5350,plain,
( e0 != op(e0,e0)
| ~ spl15_47 ),
inference(forward_demodulation,[],[f138,f520]) ).
fof(f138,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5348,plain,
( ~ spl15_26
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f5347,f338,f423]) ).
fof(f423,plain,
( spl15_26
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f5347,plain,
( e1 != op(e0,e1)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f157,f339]) ).
fof(f157,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5308,plain,
( ~ spl15_31
| ~ spl15_34
| spl15_59
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f5307]) ).
fof(f5307,plain,
( $false
| ~ spl15_31
| ~ spl15_34
| spl15_59
| ~ spl15_64 ),
inference(subsumption_resolution,[],[f5154,f606]) ).
fof(f5154,plain,
( e3 != op(e1,e2)
| ~ spl15_31
| ~ spl15_34
| spl15_59 ),
inference(backward_demodulation,[],[f5014,f447]) ).
fof(f447,plain,
( e2 = op(e1,e0)
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl15_31
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f5014,plain,
( e3 != op(e1,op(e1,e0))
| ~ spl15_34
| spl15_59 ),
inference(backward_demodulation,[],[f579,f460]) ).
fof(f460,plain,
( e0 = op(e1,e1)
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl15_34
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f579,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| spl15_59 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl15_59
<=> e3 = op(e1,op(e1,op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f5275,plain,
( spl15_63
| ~ spl15_12
| ~ spl15_106 ),
inference(avatar_split_clause,[],[f5274,f816,f359,f598]) ).
fof(f598,plain,
( spl15_63
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f816,plain,
( spl15_106
<=> op(e3,e2) = op(op(e3,e2),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f5274,plain,
( e1 = op(e1,e3)
| ~ spl15_12
| ~ spl15_106 ),
inference(forward_demodulation,[],[f818,f361]) ).
fof(f818,plain,
( op(e3,e2) = op(op(e3,e2),e3)
| ~ spl15_106 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f5253,plain,
( ~ spl15_10
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f5252,f359,f351]) ).
fof(f351,plain,
( spl15_10
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f5252,plain,
( e1 != op(e1,e2)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f145,f361]) ).
fof(f145,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5214,plain,
( ~ spl15_52
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f5213,f458,f540]) ).
fof(f5213,plain,
( e0 != op(e1,e3)
| ~ spl15_34 ),
inference(forward_demodulation,[],[f166,f460]) ).
fof(f166,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5208,plain,
( ~ spl15_91
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f5207,f445,f734]) ).
fof(f734,plain,
( spl15_91
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f5207,plain,
( e2 != op(e3,e0)
| ~ spl15_31 ),
inference(forward_demodulation,[],[f148,f447]) ).
fof(f148,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f5206,plain,
( ~ spl15_79
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f5205,f719,f672]) ).
fof(f672,plain,
( spl15_79
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f719,plain,
( spl15_88
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f5205,plain,
( e2 != op(e0,e3)
| ~ spl15_88 ),
inference(forward_demodulation,[],[f130,f720]) ).
fof(f720,plain,
( e2 = op(e3,e3)
| ~ spl15_88 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f5199,plain,
( ~ spl15_82
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f5198,f445,f687]) ).
fof(f5198,plain,
( e2 != op(e2,e0)
| ~ spl15_31 ),
inference(forward_demodulation,[],[f150,f447]) ).
fof(f150,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f5167,plain,
( ~ spl15_90
| ~ spl15_98
| spl15_113 ),
inference(avatar_contradiction_clause,[],[f5166]) ).
fof(f5166,plain,
( $false
| ~ spl15_90
| ~ spl15_98
| spl15_113 ),
inference(subsumption_resolution,[],[f5165,f731]) ).
fof(f731,plain,
( e2 = op(e0,e1)
| ~ spl15_90 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl15_90
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f5165,plain,
( e2 != op(e0,e1)
| ~ spl15_98
| spl15_113 ),
inference(forward_demodulation,[],[f897,f773]) ).
fof(f773,plain,
( op(e0,e0) = e1
| ~ spl15_98 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f771,plain,
( spl15_98
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f897,plain,
( e2 != op(e0,op(e0,e0))
| spl15_113 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f895,plain,
( spl15_113
<=> e2 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).
fof(f5164,plain,
( ~ spl15_31
| ~ spl15_34
| spl15_95 ),
inference(avatar_contradiction_clause,[],[f5163]) ).
fof(f5163,plain,
( $false
| ~ spl15_31
| ~ spl15_34
| spl15_95 ),
inference(subsumption_resolution,[],[f5162,f447]) ).
fof(f5162,plain,
( e2 != op(e1,e0)
| ~ spl15_34
| spl15_95 ),
inference(forward_demodulation,[],[f759,f460]) ).
fof(f759,plain,
( e2 != op(e1,op(e1,e1))
| spl15_95 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl15_95
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f5149,plain,
( ~ spl15_19
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f5145,f646,f391]) ).
fof(f646,plain,
( spl15_73
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f5145,plain,
( e3 != op(e3,e3)
| ~ spl15_73 ),
inference(backward_demodulation,[],[f129,f648]) ).
fof(f648,plain,
( e3 = op(e3,e0)
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f129,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5134,plain,
( ~ spl15_74
| ~ spl15_98
| spl15_110 ),
inference(avatar_contradiction_clause,[],[f5133]) ).
fof(f5133,plain,
( $false
| ~ spl15_74
| ~ spl15_98
| spl15_110 ),
inference(subsumption_resolution,[],[f5132,f851]) ).
fof(f851,plain,
( e1 != op(e1,e0)
| spl15_110 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f5132,plain,
( e1 = op(e1,e0)
| ~ spl15_74
| ~ spl15_98 ),
inference(forward_demodulation,[],[f653,f773]) ).
fof(f653,plain,
( op(e0,e0) = op(op(e0,e0),e0)
| ~ spl15_74 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl15_74
<=> op(e0,e0) = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f5119,plain,
( ~ spl15_22
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f5118,f878,f405]) ).
fof(f878,plain,
( spl15_111
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f5118,plain,
( e3 != op(e0,e3)
| ~ spl15_111 ),
inference(forward_demodulation,[],[f126,f880]) ).
fof(f880,plain,
( e3 = op(e0,e2)
| ~ spl15_111 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f126,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5075,plain,
( ~ spl15_7
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f5068,f485,f338]) ).
fof(f485,plain,
( spl15_40
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f5068,plain,
( e1 != op(e2,e1)
| ~ spl15_40 ),
inference(backward_demodulation,[],[f158,f487]) ).
fof(f487,plain,
( e1 = op(e3,e1)
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f158,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5074,plain,
( ~ spl15_41
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f5066,f485,f489]) ).
fof(f489,plain,
( spl15_41
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f5066,plain,
( e1 != op(e3,e3)
| ~ spl15_40 ),
inference(backward_demodulation,[],[f128,f487]) ).
fof(f5062,plain,
( ~ spl15_23
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f5061,f549,f410]) ).
fof(f410,plain,
( spl15_23
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f549,plain,
( spl15_54
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f5061,plain,
( e0 != op(e1,e0)
| ~ spl15_54 ),
inference(forward_demodulation,[],[f150,f550]) ).
fof(f550,plain,
( e0 = op(e2,e0)
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f5057,plain,
( ~ spl15_67
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f5056,f822,f618]) ).
fof(f618,plain,
( spl15_67
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f822,plain,
( spl15_107
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f5056,plain,
( e0 != op(e3,e3)
| ~ spl15_107 ),
inference(forward_demodulation,[],[f136,f824]) ).
fof(f824,plain,
( e0 = op(e3,e2)
| ~ spl15_107 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f136,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5054,plain,
( ~ spl15_63
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f4900,f312,f598]) ).
fof(f312,plain,
( spl15_1
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f4900,plain,
( e1 != op(e1,e3)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f164,f314]) ).
fof(f314,plain,
( e1 = op(e2,e3)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f164,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5035,plain,
( ~ spl15_92
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f5033,f878,f739]) ).
fof(f739,plain,
( spl15_92
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f5033,plain,
( e3 != op(e0,e1)
| ~ spl15_111 ),
inference(backward_demodulation,[],[f159,f880]) ).
fof(f159,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5029,plain,
( ~ spl15_23
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f5028,f458,f410]) ).
fof(f5028,plain,
( e0 != op(e1,e0)
| ~ spl15_34 ),
inference(forward_demodulation,[],[f131,f460]) ).
fof(f5025,plain,
( ~ spl15_79
| ~ spl15_44
| spl15_99 ),
inference(avatar_split_clause,[],[f5024,f784,f502,f672]) ).
fof(f502,plain,
( spl15_44
<=> e3 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f784,plain,
( spl15_99
<=> e2 = op(e0,op(e0,op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f5024,plain,
( e2 != op(e0,e3)
| ~ spl15_44
| spl15_99 ),
inference(forward_demodulation,[],[f786,f503]) ).
fof(f503,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f786,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| spl15_99 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f5022,plain,
( ~ spl15_46
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f5021,f822,f514]) ).
fof(f5021,plain,
( e0 != op(e3,e1)
| ~ spl15_107 ),
inference(forward_demodulation,[],[f165,f824]) ).
fof(f165,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5018,plain,
( ~ spl15_53
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f5017,f458,f544]) ).
fof(f544,plain,
( spl15_53
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f5017,plain,
( e0 != op(e1,e2)
| ~ spl15_34 ),
inference(forward_demodulation,[],[f149,f460]) ).
fof(f5015,plain,
( ~ spl15_46
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f5013,f458,f514]) ).
fof(f5013,plain,
( e0 != op(e3,e1)
| ~ spl15_34 ),
inference(backward_demodulation,[],[f160,f460]) ).
fof(f5011,plain,
( ~ spl15_48
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f5010,f549,f522]) ).
fof(f522,plain,
( spl15_48
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f5010,plain,
( e0 != op(e2,e1)
| ~ spl15_54 ),
inference(forward_demodulation,[],[f163,f550]) ).
fof(f5009,plain,
( ~ spl15_100
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f5008,f549,f789]) ).
fof(f5008,plain,
( e0 != op(e3,e0)
| ~ spl15_54 ),
inference(backward_demodulation,[],[f152,f550]) ).
fof(f152,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f4965,plain,
( ~ spl15_73
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f4956,f767,f646]) ).
fof(f4956,plain,
( e3 != op(e3,e0)
| ~ spl15_97 ),
inference(backward_demodulation,[],[f144,f769]) ).
fof(f4948,plain,
( ~ spl15_42
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f4946,f850,f493]) ).
fof(f493,plain,
( spl15_42
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f4946,plain,
( e1 != op(e3,e0)
| ~ spl15_110 ),
inference(backward_demodulation,[],[f148,f852]) ).
fof(f4917,plain,
( ~ spl15_48
| spl15_71
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f4916]) ).
fof(f4916,plain,
( $false
| ~ spl15_48
| spl15_71
| ~ spl15_85 ),
inference(subsumption_resolution,[],[f4772,f707]) ).
fof(f707,plain,
( e0 = op(e0,e2)
| ~ spl15_85 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f4772,plain,
( e0 != op(e0,e2)
| ~ spl15_48
| spl15_71 ),
inference(backward_demodulation,[],[f638,f524]) ).
fof(f524,plain,
( e0 = op(e2,e1)
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f638,plain,
( op(e2,e1) != op(op(e2,e1),e2)
| spl15_71 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl15_71
<=> op(e2,e1) = op(op(e2,e1),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
fof(f4911,plain,
( ~ spl15_42
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f4910,f359,f493]) ).
fof(f4910,plain,
( e1 != op(e3,e0)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f171,f361]) ).
fof(f171,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4903,plain,
( ~ spl15_80
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f4902,f540,f676]) ).
fof(f4902,plain,
( e0 != op(e0,e3)
| ~ spl15_52 ),
inference(forward_demodulation,[],[f133,f542]) ).
fof(f133,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4896,plain,
( ~ spl15_80
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f4895,f705,f676]) ).
fof(f4895,plain,
( e0 != op(e0,e3)
| ~ spl15_85 ),
inference(forward_demodulation,[],[f126,f707]) ).
fof(f4887,plain,
( ~ spl15_91
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f4789,f725,f734]) ).
fof(f725,plain,
( spl15_89
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f4789,plain,
( e2 != op(e3,e0)
| ~ spl15_89 ),
inference(forward_demodulation,[],[f139,f727]) ).
fof(f727,plain,
( e2 = op(e3,e1)
| ~ spl15_89 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f4886,plain,
( ~ spl15_41
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f4885,f312,f489]) ).
fof(f4885,plain,
( e1 != op(e3,e3)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f153,f314]) ).
fof(f4880,plain,
( spl15_110
| ~ spl15_26
| ~ spl15_69 ),
inference(avatar_split_clause,[],[f4879,f629,f423,f850]) ).
fof(f4879,plain,
( e1 = op(e1,e0)
| ~ spl15_26
| ~ spl15_69 ),
inference(forward_demodulation,[],[f631,f424]) ).
fof(f424,plain,
( e1 = op(e0,e1)
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f4878,plain,
( ~ spl15_23
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f4877,f540,f410]) ).
fof(f4877,plain,
( e0 != op(e1,e0)
| ~ spl15_52 ),
inference(forward_demodulation,[],[f132,f542]) ).
fof(f132,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4868,plain,
( ~ spl15_1
| ~ spl15_17
| ~ spl15_48
| spl15_115 ),
inference(avatar_contradiction_clause,[],[f4867]) ).
fof(f4867,plain,
( $false
| ~ spl15_1
| ~ spl15_17
| ~ spl15_48
| spl15_115 ),
inference(subsumption_resolution,[],[f4866,f524]) ).
fof(f4866,plain,
( e0 != op(e2,e1)
| ~ spl15_1
| ~ spl15_17
| spl15_115 ),
inference(forward_demodulation,[],[f4858,f314]) ).
fof(f4858,plain,
( e0 != op(e2,op(e2,e3))
| ~ spl15_17
| spl15_115 ),
inference(backward_demodulation,[],[f912,f383]) ).
fof(f383,plain,
( e3 = op(e2,e2)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl15_17
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f912,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| spl15_115 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f910,plain,
( spl15_115
<=> e0 = op(e2,op(e2,op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).
fof(f4865,plain,
( ~ spl15_12
| ~ spl15_17
| ~ spl15_105 ),
inference(avatar_contradiction_clause,[],[f4864]) ).
fof(f4864,plain,
( $false
| ~ spl15_12
| ~ spl15_17
| ~ spl15_105 ),
inference(subsumption_resolution,[],[f4863,f282]) ).
fof(f4863,plain,
( e1 = e3
| ~ spl15_12
| ~ spl15_17
| ~ spl15_105 ),
inference(forward_demodulation,[],[f4859,f361]) ).
fof(f4859,plain,
( e3 = op(e3,e2)
| ~ spl15_17
| ~ spl15_105 ),
inference(backward_demodulation,[],[f814,f383]) ).
fof(f4862,plain,
( ~ spl15_81
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f4857,f382,f683]) ).
fof(f683,plain,
( spl15_81
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f4857,plain,
( e3 != op(e2,e0)
| ~ spl15_17 ),
inference(backward_demodulation,[],[f169,f383]) ).
fof(f169,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4852,plain,
( ~ spl15_11
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f4851,f312,f355]) ).
fof(f4851,plain,
( e1 != op(e2,e2)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f147,f314]) ).
fof(f147,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4846,plain,
( ~ spl15_67
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f4841,f540,f618]) ).
fof(f4841,plain,
( e0 != op(e3,e3)
| ~ spl15_52 ),
inference(backward_demodulation,[],[f141,f542]) ).
fof(f4845,plain,
( ~ spl15_31
| ~ spl15_33
| ~ spl15_52
| spl15_108 ),
inference(avatar_split_clause,[],[f4843,f832,f540,f454,f445]) ).
fof(f832,plain,
( spl15_108
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f4843,plain,
( e2 != op(e1,e0)
| ~ spl15_33
| ~ spl15_52
| spl15_108 ),
inference(backward_demodulation,[],[f4801,f542]) ).
fof(f4801,plain,
( e2 != op(e1,op(e1,e3))
| ~ spl15_33
| spl15_108 ),
inference(forward_demodulation,[],[f834,f456]) ).
fof(f834,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| spl15_108 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f4835,plain,
( ~ spl15_53
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f4834,f705,f544]) ).
fof(f4834,plain,
( e0 != op(e1,e2)
| ~ spl15_85 ),
inference(forward_demodulation,[],[f154,f707]) ).
fof(f154,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4832,plain,
( ~ spl15_4
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f4831,f522,f324]) ).
fof(f324,plain,
( spl15_4
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f4831,plain,
( e0 != op(e2,e3)
| ~ spl15_48 ),
inference(forward_demodulation,[],[f146,f524]) ).
fof(f146,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4830,plain,
( ~ spl15_98
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f4829,f423,f771]) ).
fof(f4829,plain,
( op(e0,e0) != e1
| ~ spl15_26 ),
inference(forward_demodulation,[],[f138,f424]) ).
fof(f4828,plain,
( ~ spl15_9
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f4827,f423,f347]) ).
fof(f4827,plain,
( e1 != op(e0,e2)
| ~ spl15_26 ),
inference(forward_demodulation,[],[f159,f424]) ).
fof(f4807,plain,
( ~ spl15_41
| spl15_86
| ~ spl15_89
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f4806]) ).
fof(f4806,plain,
( $false
| ~ spl15_41
| spl15_86
| ~ spl15_89
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f4805,f824]) ).
fof(f4805,plain,
( e0 != op(e3,e2)
| ~ spl15_41
| spl15_86
| ~ spl15_89 ),
inference(forward_demodulation,[],[f4804,f727]) ).
fof(f4804,plain,
( e0 != op(e3,op(e3,e1))
| ~ spl15_41
| spl15_86 ),
inference(forward_demodulation,[],[f712,f491]) ).
fof(f491,plain,
( e1 = op(e3,e3)
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f712,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| spl15_86 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl15_86
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f4757,plain,
( ~ spl15_94
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f4755,f316,f751]) ).
fof(f751,plain,
( spl15_94
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f4755,plain,
( e3 != op(e2,e1)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f146,f318]) ).
fof(f4756,plain,
( ~ spl15_21
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f4753,f316,f401]) ).
fof(f4753,plain,
( e3 != op(e1,e3)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f164,f318]) ).
fof(f4751,plain,
( ~ spl15_63
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f4750,f489,f598]) ).
fof(f4750,plain,
( e1 != op(e1,e3)
| ~ spl15_41 ),
inference(forward_demodulation,[],[f141,f491]) ).
fof(f4736,plain,
( ~ spl15_21
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f4735,f454,f401]) ).
fof(f4735,plain,
( e3 != op(e1,e3)
| ~ spl15_33 ),
inference(forward_demodulation,[],[f166,f456]) ).
fof(f4734,plain,
( ~ spl15_67
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f4733,f676,f618]) ).
fof(f4733,plain,
( e0 != op(e3,e3)
| ~ spl15_80 ),
inference(forward_demodulation,[],[f130,f678]) ).
fof(f678,plain,
( e0 = op(e0,e3)
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f4726,plain,
( spl15_28
| ~ spl15_33
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f4725,f757,f454,f433]) ).
fof(f4725,plain,
( e2 = op(e1,e3)
| ~ spl15_33
| ~ spl15_95 ),
inference(forward_demodulation,[],[f758,f456]) ).
fof(f758,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl15_95 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f4719,plain,
( ~ spl15_47
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f4718,f676,f518]) ).
fof(f4718,plain,
( e0 != op(e0,e1)
| ~ spl15_80 ),
inference(backward_demodulation,[],[f135,f678]) ).
fof(f135,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4716,plain,
( ~ spl15_92
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f4713,f454,f739]) ).
fof(f4713,plain,
( e3 != op(e0,e1)
| ~ spl15_33 ),
inference(backward_demodulation,[],[f167,f456]) ).
fof(f167,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4708,plain,
( spl15_44
| ~ spl15_45
| ~ spl15_111 ),
inference(avatar_contradiction_clause,[],[f4707]) ).
fof(f4707,plain,
( $false
| spl15_44
| ~ spl15_45
| ~ spl15_111 ),
inference(subsumption_resolution,[],[f4706,f880]) ).
fof(f4706,plain,
( e3 != op(e0,e2)
| spl15_44
| ~ spl15_45 ),
inference(forward_demodulation,[],[f504,f507]) ).
fof(f507,plain,
( op(e0,e0) = e2
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl15_45
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f504,plain,
( e3 != op(e0,op(e0,e0))
| spl15_44 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f4678,plain,
( spl15_43
| ~ spl15_45
| ~ spl15_78
| ~ spl15_111 ),
inference(avatar_contradiction_clause,[],[f4677]) ).
fof(f4677,plain,
( $false
| spl15_43
| ~ spl15_45
| ~ spl15_78
| ~ spl15_111 ),
inference(subsumption_resolution,[],[f4503,f670]) ).
fof(f670,plain,
( e1 = op(e0,e3)
| ~ spl15_78 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl15_78
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f4503,plain,
( e1 != op(e0,e3)
| spl15_43
| ~ spl15_45
| ~ spl15_111 ),
inference(backward_demodulation,[],[f4373,f880]) ).
fof(f4373,plain,
( e1 != op(e0,op(e0,e2))
| spl15_43
| ~ spl15_45 ),
inference(forward_demodulation,[],[f500,f507]) ).
fof(f500,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| spl15_43 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl15_43
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f4667,plain,
( ~ spl15_65
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f4665,f401,f608]) ).
fof(f608,plain,
( spl15_65
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f4665,plain,
( e3 != op(e1,e0)
| ~ spl15_21 ),
inference(backward_demodulation,[],[f132,f403]) ).
fof(f403,plain,
( e3 = op(e1,e3)
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f4643,plain,
( ~ spl15_65
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f4640,f646,f608]) ).
fof(f4640,plain,
( e3 != op(e1,e0)
| ~ spl15_73 ),
inference(backward_demodulation,[],[f148,f648]) ).
fof(f4634,plain,
( ~ spl15_73
| spl15_104
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f4522,f878,f808,f646]) ).
fof(f808,plain,
( spl15_104
<=> op(e0,e2) = op(op(e0,e2),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f4522,plain,
( e3 != op(e3,e0)
| spl15_104
| ~ spl15_111 ),
inference(forward_demodulation,[],[f809,f880]) ).
fof(f809,plain,
( op(e0,e2) != op(op(e0,e2),e0)
| spl15_104 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f4633,plain,
( ~ spl15_42
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f4632,f485,f493]) ).
fof(f4632,plain,
( e1 != op(e3,e0)
| ~ spl15_40 ),
inference(forward_demodulation,[],[f139,f487]) ).
fof(f4631,plain,
( ~ spl15_42
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f4630,f588,f493]) ).
fof(f4630,plain,
( e1 != op(e3,e0)
| ~ spl15_61 ),
inference(forward_demodulation,[],[f152,f590]) ).
fof(f590,plain,
( e1 = op(e2,e0)
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f4627,plain,
( ~ spl15_90
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f4626,f506,f729]) ).
fof(f4626,plain,
( e2 != op(e0,e1)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f138,f507]) ).
fof(f4612,plain,
( ~ spl15_42
| ~ spl15_88
| spl15_93
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f4611,f822,f746,f719,f493]) ).
fof(f746,plain,
( spl15_93
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f4611,plain,
( e1 != op(e3,e0)
| ~ spl15_88
| spl15_93
| ~ spl15_107 ),
inference(forward_demodulation,[],[f4610,f824]) ).
fof(f4610,plain,
( e1 != op(e3,op(e3,e2))
| ~ spl15_88
| spl15_93 ),
inference(forward_demodulation,[],[f748,f720]) ).
fof(f748,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| spl15_93 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f4609,plain,
( ~ spl15_110
| ~ spl15_78
| spl15_118 ),
inference(avatar_split_clause,[],[f4607,f948,f668,f850]) ).
fof(f948,plain,
( spl15_118
<=> op(e0,e3) = op(op(e0,e3),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).
fof(f4607,plain,
( e1 != op(e1,e0)
| ~ spl15_78
| spl15_118 ),
inference(backward_demodulation,[],[f949,f670]) ).
fof(f949,plain,
( op(e0,e3) != op(op(e0,e3),e0)
| spl15_118 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f4592,plain,
( ~ spl15_80
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f4590,f324,f676]) ).
fof(f4590,plain,
( e0 != op(e0,e3)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f140,f326]) ).
fof(f326,plain,
( e0 = op(e2,e3)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f4582,plain,
( ~ spl15_28
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f4524,f719,f433]) ).
fof(f4524,plain,
( e2 != op(e1,e3)
| ~ spl15_88 ),
inference(forward_demodulation,[],[f141,f720]) ).
fof(f4574,plain,
( ~ spl15_100
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f4573,f822,f789]) ).
fof(f4573,plain,
( e0 != op(e3,e0)
| ~ spl15_107 ),
inference(forward_demodulation,[],[f171,f824]) ).
fof(f4538,plain,
( ~ spl15_29
| ~ spl15_53
| spl15_58 ),
inference(avatar_contradiction_clause,[],[f4537]) ).
fof(f4537,plain,
( $false
| ~ spl15_29
| ~ spl15_53
| spl15_58 ),
inference(subsumption_resolution,[],[f4536,f546]) ).
fof(f546,plain,
( e0 = op(e1,e2)
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f4536,plain,
( e0 != op(e1,e2)
| ~ spl15_29
| spl15_58 ),
inference(forward_demodulation,[],[f575,f439]) ).
fof(f439,plain,
( e2 = op(e1,e1)
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl15_29
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f575,plain,
( e0 != op(e1,op(e1,e1))
| spl15_58 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl15_58
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f4531,plain,
( ~ spl15_48
| ~ spl15_71
| ~ spl15_111 ),
inference(avatar_contradiction_clause,[],[f4530]) ).
fof(f4530,plain,
( $false
| ~ spl15_48
| ~ spl15_71
| ~ spl15_111 ),
inference(subsumption_resolution,[],[f4529,f280]) ).
fof(f280,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4529,plain,
( e0 = e3
| ~ spl15_48
| ~ spl15_71
| ~ spl15_111 ),
inference(forward_demodulation,[],[f4528,f880]) ).
fof(f4528,plain,
( e0 = op(e0,e2)
| ~ spl15_48
| ~ spl15_71 ),
inference(forward_demodulation,[],[f639,f524]) ).
fof(f639,plain,
( op(e2,e1) = op(op(e2,e1),e2)
| ~ spl15_71 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4486,plain,
( ~ spl15_1
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f4485,f588,f312]) ).
fof(f4485,plain,
( e1 != op(e2,e3)
| ~ spl15_61 ),
inference(forward_demodulation,[],[f172,f590]) ).
fof(f172,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4481,plain,
( ~ spl15_65
| ~ spl15_29
| ~ spl15_53
| spl15_59 ),
inference(avatar_split_clause,[],[f4480,f577,f544,f437,f608]) ).
fof(f4480,plain,
( e3 != op(e1,e0)
| ~ spl15_29
| ~ spl15_53
| spl15_59 ),
inference(forward_demodulation,[],[f4346,f546]) ).
fof(f4346,plain,
( e3 != op(e1,op(e1,e2))
| ~ spl15_29
| spl15_59 ),
inference(backward_demodulation,[],[f579,f439]) ).
fof(f4474,plain,
( ~ spl15_60
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f4473,f506,f583]) ).
fof(f583,plain,
( spl15_60
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f4473,plain,
( e2 != op(e0,e2)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f161,f507]) ).
fof(f161,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4472,plain,
( ~ spl15_45
| ~ spl15_80
| ~ spl15_118 ),
inference(avatar_contradiction_clause,[],[f4471]) ).
fof(f4471,plain,
( $false
| ~ spl15_45
| ~ spl15_80
| ~ spl15_118 ),
inference(subsumption_resolution,[],[f4470,f283]) ).
fof(f4470,plain,
( e0 = e2
| ~ spl15_45
| ~ spl15_80
| ~ spl15_118 ),
inference(forward_demodulation,[],[f4468,f507]) ).
fof(f4468,plain,
( e0 = op(e0,e0)
| ~ spl15_80
| ~ spl15_118 ),
inference(backward_demodulation,[],[f950,f678]) ).
fof(f950,plain,
( op(e0,e3) = op(op(e0,e3),e0)
| ~ spl15_118 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f4454,plain,
( ~ spl15_78
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f4453,f423,f668]) ).
fof(f4453,plain,
( e1 != op(e0,e3)
| ~ spl15_26 ),
inference(forward_demodulation,[],[f135,f424]) ).
fof(f4452,plain,
( ~ spl15_26
| ~ spl15_53
| ~ spl15_103 ),
inference(avatar_contradiction_clause,[],[f4451]) ).
fof(f4451,plain,
( $false
| ~ spl15_26
| ~ spl15_53
| ~ spl15_103 ),
inference(subsumption_resolution,[],[f4450,f284]) ).
fof(f284,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f4450,plain,
( e0 = e1
| ~ spl15_26
| ~ spl15_53
| ~ spl15_103 ),
inference(forward_demodulation,[],[f4449,f424]) ).
fof(f4449,plain,
( e0 = op(e0,e1)
| ~ spl15_53
| ~ spl15_103 ),
inference(forward_demodulation,[],[f806,f546]) ).
fof(f806,plain,
( op(e1,e2) = op(op(e1,e2),e1)
| ~ spl15_103 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl15_103
<=> op(e1,e2) = op(op(e1,e2),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f4441,plain,
( ~ spl15_28
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f4440,f437,f433]) ).
fof(f4440,plain,
( e2 != op(e1,e3)
| ~ spl15_29 ),
inference(forward_demodulation,[],[f166,f439]) ).
fof(f4355,plain,
( ~ spl15_29
| ~ spl15_52
| ~ spl15_64
| spl15_96 ),
inference(avatar_contradiction_clause,[],[f4354]) ).
fof(f4354,plain,
( $false
| ~ spl15_29
| ~ spl15_52
| ~ spl15_64
| spl15_96 ),
inference(subsumption_resolution,[],[f4353,f542]) ).
fof(f4353,plain,
( e0 != op(e1,e3)
| ~ spl15_29
| ~ spl15_64
| spl15_96 ),
inference(forward_demodulation,[],[f4349,f606]) ).
fof(f4349,plain,
( e0 != op(e1,op(e1,e2))
| ~ spl15_29
| spl15_96 ),
inference(backward_demodulation,[],[f763,f439]) ).
fof(f763,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| spl15_96 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl15_96
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f4341,plain,
( ~ spl15_23
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f4340,f789,f410]) ).
fof(f4340,plain,
( e0 != op(e1,e0)
| ~ spl15_100 ),
inference(forward_demodulation,[],[f148,f791]) ).
fof(f4317,plain,
( ~ spl15_30
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f4316,f364,f441]) ).
fof(f441,plain,
( spl15_30
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f364,plain,
( spl15_13
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f4316,plain,
( e2 != op(e1,e2)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f170,f365]) ).
fof(f365,plain,
( e2 = op(e2,e2)
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f170,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4306,plain,
( ~ spl15_45
| ~ spl15_85
| ~ spl15_101 ),
inference(avatar_contradiction_clause,[],[f4305]) ).
fof(f4305,plain,
( $false
| ~ spl15_45
| ~ spl15_85
| ~ spl15_101 ),
inference(subsumption_resolution,[],[f4304,f284]) ).
fof(f4304,plain,
( e0 = e1
| ~ spl15_45
| ~ spl15_85
| ~ spl15_101 ),
inference(forward_demodulation,[],[f4303,f707]) ).
fof(f4303,plain,
( e1 = op(e0,e2)
| ~ spl15_45
| ~ spl15_101 ),
inference(forward_demodulation,[],[f796,f507]) ).
fof(f796,plain,
( e1 = op(e0,op(e0,e0))
| ~ spl15_101 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f795,plain,
( spl15_101
<=> e1 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f4292,plain,
( ~ spl15_79
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f4291,f506,f672]) ).
fof(f4291,plain,
( e2 != op(e0,e3)
| ~ spl15_45 ),
inference(backward_demodulation,[],[f151,f507]) ).
fof(f4286,plain,
( ~ spl15_67
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f4285,f789,f618]) ).
fof(f4285,plain,
( e0 != op(e3,e3)
| ~ spl15_100 ),
inference(backward_demodulation,[],[f129,f791]) ).
fof(f4274,plain,
( ~ spl15_65
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f4271,f683,f608]) ).
fof(f4271,plain,
( e3 != op(e1,e0)
| ~ spl15_81 ),
inference(backward_demodulation,[],[f150,f685]) ).
fof(f685,plain,
( e3 = op(e2,e0)
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f4266,plain,
( ~ spl15_41
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f4265,f359,f489]) ).
fof(f4265,plain,
( e1 != op(e3,e3)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f136,f361]) ).
fof(f4262,plain,
( ~ spl15_49
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f4261,f705,f527]) ).
fof(f4261,plain,
( e0 != op(e2,e2)
| ~ spl15_85 ),
inference(forward_demodulation,[],[f173,f707]) ).
fof(f173,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4256,plain,
( ~ spl15_53
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f4158,f540,f544]) ).
fof(f4158,plain,
( e0 != op(e1,e2)
| ~ spl15_52 ),
inference(forward_demodulation,[],[f162,f542]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4251,plain,
( ~ spl15_94
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f4250,f554,f751]) ).
fof(f4250,plain,
( e3 != op(e2,e1)
| ~ spl15_55 ),
inference(backward_demodulation,[],[f158,f556]) ).
fof(f556,plain,
( e3 = op(e3,e1)
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f4185,plain,
( ~ spl15_47
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f4183,f705,f518]) ).
fof(f4183,plain,
( e0 != op(e0,e1)
| ~ spl15_85 ),
inference(backward_demodulation,[],[f159,f707]) ).
fof(f4172,plain,
( ~ spl15_92
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f4165,f767,f739]) ).
fof(f4165,plain,
( e3 != op(e0,e1)
| ~ spl15_97 ),
inference(backward_demodulation,[],[f138,f769]) ).
fof(f4131,plain,
( ~ spl15_33
| ~ spl15_52
| spl15_58 ),
inference(avatar_contradiction_clause,[],[f4130]) ).
fof(f4130,plain,
( $false
| ~ spl15_33
| ~ spl15_52
| spl15_58 ),
inference(subsumption_resolution,[],[f4029,f542]) ).
fof(f4029,plain,
( e0 != op(e1,e3)
| ~ spl15_33
| spl15_58 ),
inference(forward_demodulation,[],[f575,f456]) ).
fof(f4121,plain,
( ~ spl15_47
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f4120,f514,f518]) ).
fof(f4120,plain,
( e0 != op(e0,e1)
| ~ spl15_46 ),
inference(backward_demodulation,[],[f137,f516]) ).
fof(f516,plain,
( e0 = op(e3,e1)
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f137,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4110,plain,
( ~ spl15_110
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f3836,f351,f850]) ).
fof(f3836,plain,
( e1 != op(e1,e0)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f143,f353]) ).
fof(f353,plain,
( e1 = op(e1,e2)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f143,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4108,plain,
( ~ spl15_60
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f4105,f672,f583]) ).
fof(f4105,plain,
( e2 != op(e0,e2)
| ~ spl15_79 ),
inference(backward_demodulation,[],[f126,f674]) ).
fof(f674,plain,
( e2 = op(e0,e3)
| ~ spl15_79 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f4100,plain,
( ~ spl15_28
| ~ spl15_33
| spl15_95 ),
inference(avatar_split_clause,[],[f4099,f757,f454,f433]) ).
fof(f4099,plain,
( e2 != op(e1,e3)
| ~ spl15_33
| spl15_95 ),
inference(forward_demodulation,[],[f759,f456]) ).
fof(f4092,plain,
( ~ spl15_92
| ~ spl15_101
| spl15_102 ),
inference(avatar_split_clause,[],[f4091,f799,f795,f739]) ).
fof(f799,plain,
( spl15_102
<=> e3 = op(e0,op(e0,op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f4091,plain,
( e3 != op(e0,e1)
| ~ spl15_101
| spl15_102 ),
inference(forward_demodulation,[],[f801,f796]) ).
fof(f801,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| spl15_102 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f4088,plain,
( ~ spl15_90
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f4046,f613,f729]) ).
fof(f613,plain,
( spl15_66
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f4046,plain,
( e2 != op(e0,e1)
| ~ spl15_66 ),
inference(forward_demodulation,[],[f157,f615]) ).
fof(f615,plain,
( e2 = op(e2,e1)
| ~ spl15_66 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f4069,plain,
( ~ spl15_67
| ~ spl15_72
| ~ spl15_106 ),
inference(avatar_contradiction_clause,[],[f4068]) ).
fof(f4068,plain,
( $false
| ~ spl15_67
| ~ spl15_72
| ~ spl15_106 ),
inference(subsumption_resolution,[],[f4067,f280]) ).
fof(f4067,plain,
( e0 = e3
| ~ spl15_67
| ~ spl15_72
| ~ spl15_106 ),
inference(forward_demodulation,[],[f4066,f619]) ).
fof(f619,plain,
( e0 = op(e3,e3)
| ~ spl15_67 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f4066,plain,
( e3 = op(e3,e3)
| ~ spl15_72
| ~ spl15_106 ),
inference(forward_demodulation,[],[f818,f644]) ).
fof(f644,plain,
( e3 = op(e3,e2)
| ~ spl15_72 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl15_72
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f3994,plain,
( ~ spl15_32
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f3884,f351,f450]) ).
fof(f3884,plain,
( e1 != op(e1,e1)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f149,f353]) ).
fof(f3977,plain,
( ~ spl15_78
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f3976,f771,f668]) ).
fof(f3976,plain,
( e1 != op(e0,e3)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f151,f773]) ).
fof(f3966,plain,
( ~ spl15_1
| spl15_50
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[],[f3965]) ).
fof(f3965,plain,
( $false
| ~ spl15_1
| spl15_50
| ~ spl15_51 ),
inference(subsumption_resolution,[],[f3964,f314]) ).
fof(f3964,plain,
( e1 != op(e2,e3)
| spl15_50
| ~ spl15_51 ),
inference(backward_demodulation,[],[f533,f536]) ).
fof(f536,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl15_51
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f533,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| spl15_50 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl15_50
<=> e1 = op(e2,op(e2,op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f3956,plain,
( ~ spl15_11
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f3955,f351,f355]) ).
fof(f3955,plain,
( e1 != op(e2,e2)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f170,f353]) ).
fof(f3945,plain,
( ~ spl15_89
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f3943,f613,f725]) ).
fof(f3943,plain,
( e2 != op(e3,e1)
| ~ spl15_66 ),
inference(backward_demodulation,[],[f158,f615]) ).
fof(f3936,plain,
( ~ spl15_62
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f3932,f734,f593]) ).
fof(f593,plain,
( spl15_62
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f3932,plain,
( e2 != op(e3,e2)
| ~ spl15_91 ),
inference(backward_demodulation,[],[f171,f736]) ).
fof(f736,plain,
( e2 = op(e3,e0)
| ~ spl15_91 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f3935,plain,
( ~ spl15_82
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f3929,f734,f687]) ).
fof(f3929,plain,
( e2 != op(e2,e0)
| ~ spl15_91 ),
inference(backward_demodulation,[],[f152,f736]) ).
fof(f3919,plain,
( ~ spl15_62
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f3916,f583,f593]) ).
fof(f3916,plain,
( e2 != op(e3,e2)
| ~ spl15_60 ),
inference(backward_demodulation,[],[f156,f584]) ).
fof(f584,plain,
( e2 = op(e0,e2)
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f3880,plain,
( ~ spl15_3
| ~ spl15_17
| ~ spl15_50 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
fof(f3879,plain,
( $false
| ~ spl15_3
| ~ spl15_17
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f3878,f282]) ).
fof(f3878,plain,
( e1 = e3
| ~ spl15_3
| ~ spl15_17
| ~ spl15_50 ),
inference(forward_demodulation,[],[f3877,f383]) ).
fof(f3877,plain,
( e1 = op(e2,e2)
| ~ spl15_3
| ~ spl15_17
| ~ spl15_50 ),
inference(forward_demodulation,[],[f3875,f322]) ).
fof(f322,plain,
( e2 = op(e2,e3)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl15_3
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f3875,plain,
( e1 = op(e2,op(e2,e3))
| ~ spl15_17
| ~ spl15_50 ),
inference(backward_demodulation,[],[f532,f383]) ).
fof(f532,plain,
( e1 = op(e2,op(e2,op(e2,e2)))
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f3864,plain,
( ~ spl15_23
| ~ spl15_77
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3863,plain,
( $false
| ~ spl15_23
| ~ spl15_77
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f3862,f283]) ).
fof(f3862,plain,
( e0 = e2
| ~ spl15_23
| ~ spl15_77
| ~ spl15_90 ),
inference(forward_demodulation,[],[f3861,f731]) ).
fof(f3861,plain,
( e0 = op(e0,e1)
| ~ spl15_23
| ~ spl15_77 ),
inference(forward_demodulation,[],[f665,f411]) ).
fof(f411,plain,
( e0 = op(e1,e0)
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f665,plain,
( op(e1,e0) = op(op(e1,e0),e1)
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl15_77
<=> op(e1,e0) = op(op(e1,e0),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f3804,plain,
( ~ spl15_111
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f3800,f767,f878]) ).
fof(f3800,plain,
( e3 != op(e0,e2)
| ~ spl15_97 ),
inference(backward_demodulation,[],[f161,f769]) ).
fof(f3788,plain,
( ~ spl15_29
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f3787]) ).
fof(f3787,plain,
( $false
| ~ spl15_29
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f3786,f731]) ).
fof(f3786,plain,
( e2 != op(e0,e1)
| ~ spl15_29 ),
inference(forward_demodulation,[],[f167,f439]) ).
fof(f3780,plain,
( ~ spl15_73
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f3779,f554,f646]) ).
fof(f3779,plain,
( e3 != op(e3,e0)
| ~ spl15_55 ),
inference(forward_demodulation,[],[f139,f556]) ).
fof(f3775,plain,
( ~ spl15_11
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3773,f338,f355]) ).
fof(f3773,plain,
( e1 != op(e2,e2)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f168,f339]) ).
fof(f168,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3771,plain,
( ~ spl15_90
| spl15_99
| ~ spl15_101 ),
inference(avatar_contradiction_clause,[],[f3770]) ).
fof(f3770,plain,
( $false
| ~ spl15_90
| spl15_99
| ~ spl15_101 ),
inference(subsumption_resolution,[],[f3769,f731]) ).
fof(f3769,plain,
( e2 != op(e0,e1)
| spl15_99
| ~ spl15_101 ),
inference(forward_demodulation,[],[f786,f796]) ).
fof(f3761,plain,
( ~ spl15_82
| spl15_69
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f3693,f729,f629,f687]) ).
fof(f3693,plain,
( e2 != op(e2,e0)
| spl15_69
| ~ spl15_90 ),
inference(forward_demodulation,[],[f630,f731]) ).
fof(f630,plain,
( op(e0,e1) != op(op(e0,e1),e0)
| spl15_69 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f3759,plain,
( ~ spl15_82
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f3758,f320,f687]) ).
fof(f3758,plain,
( e2 != op(e2,e0)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f172,f322]) ).
fof(f3756,plain,
( ~ spl15_9
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f3742,f668,f347]) ).
fof(f3742,plain,
( e1 != op(e0,e2)
| ~ spl15_78 ),
inference(forward_demodulation,[],[f126,f670]) ).
fof(f3752,plain,
( ~ spl15_30
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f3751,f593,f441]) ).
fof(f3751,plain,
( e2 != op(e1,e2)
| ~ spl15_62 ),
inference(forward_demodulation,[],[f145,f594]) ).
fof(f594,plain,
( e2 = op(e3,e2)
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f3710,plain,
( ~ spl15_13
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f3709,f320,f364]) ).
fof(f3709,plain,
( e2 != op(e2,e2)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f147,f322]) ).
fof(f3707,plain,
( spl15_13
| ~ spl15_3
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f3704,f944,f320,f364]) ).
fof(f944,plain,
( spl15_117
<=> op(e2,e3) = op(op(e2,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).
fof(f3704,plain,
( e2 = op(e2,e2)
| ~ spl15_3
| ~ spl15_117 ),
inference(backward_demodulation,[],[f946,f322]) ).
fof(f946,plain,
( op(e2,e3) = op(op(e2,e3),e2)
| ~ spl15_117 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f3659,plain,
( ~ spl15_1
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f3657,f668,f312]) ).
fof(f3657,plain,
( e1 != op(e2,e3)
| ~ spl15_78 ),
inference(backward_demodulation,[],[f140,f670]) ).
fof(f3656,plain,
( ~ spl15_90
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f3655,f725,f729]) ).
fof(f3655,plain,
( e2 != op(e0,e1)
| ~ spl15_89 ),
inference(forward_demodulation,[],[f137,f727]) ).
fof(f3644,plain,
( ~ spl15_110
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f3643,f588,f850]) ).
fof(f3643,plain,
( e1 != op(e1,e0)
| ~ spl15_61 ),
inference(forward_demodulation,[],[f150,f590]) ).
fof(f3632,plain,
( ~ spl15_72
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f3631,f878,f642]) ).
fof(f3631,plain,
( e3 != op(e3,e2)
| ~ spl15_111 ),
inference(forward_demodulation,[],[f156,f880]) ).
fof(f3624,plain,
( ~ spl15_72
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f3621,f646,f642]) ).
fof(f3621,plain,
( e3 != op(e3,e2)
| ~ spl15_73 ),
inference(backward_demodulation,[],[f171,f648]) ).
fof(f3619,plain,
( ~ spl15_47
| ~ spl15_53
| spl15_103 ),
inference(avatar_split_clause,[],[f3616,f804,f544,f518]) ).
fof(f3616,plain,
( e0 != op(e0,e1)
| ~ spl15_53
| spl15_103 ),
inference(backward_demodulation,[],[f805,f546]) ).
fof(f805,plain,
( op(e1,e2) != op(op(e1,e2),e1)
| spl15_103 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f3618,plain,
( ~ spl15_107
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f3617,f544,f822]) ).
fof(f3617,plain,
( e0 != op(e3,e2)
| ~ spl15_53 ),
inference(backward_demodulation,[],[f145,f546]) ).
fof(f3605,plain,
( ~ spl15_64
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f3604,f878,f604]) ).
fof(f3604,plain,
( e3 != op(e1,e2)
| ~ spl15_111 ),
inference(backward_demodulation,[],[f154,f880]) ).
fof(f3602,plain,
( ~ spl15_48
| ~ spl15_94 ),
inference(avatar_contradiction_clause,[],[f3601]) ).
fof(f3601,plain,
( $false
| ~ spl15_48
| ~ spl15_94 ),
inference(subsumption_resolution,[],[f3600,f280]) ).
fof(f3600,plain,
( e0 = e3
| ~ spl15_48
| ~ spl15_94 ),
inference(forward_demodulation,[],[f524,f753]) ).
fof(f753,plain,
( e3 = op(e2,e1)
| ~ spl15_94 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f3576,plain,
( ~ spl15_9
| ~ spl15_23
| ~ spl15_104 ),
inference(avatar_contradiction_clause,[],[f3575]) ).
fof(f3575,plain,
( $false
| ~ spl15_9
| ~ spl15_23
| ~ spl15_104 ),
inference(subsumption_resolution,[],[f3574,f284]) ).
fof(f3574,plain,
( e0 = e1
| ~ spl15_9
| ~ spl15_23
| ~ spl15_104 ),
inference(forward_demodulation,[],[f3573,f411]) ).
fof(f3573,plain,
( e1 = op(e1,e0)
| ~ spl15_9
| ~ spl15_104 ),
inference(forward_demodulation,[],[f810,f349]) ).
fof(f349,plain,
( e1 = op(e0,e2)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f810,plain,
( op(e0,e2) = op(op(e0,e2),e0)
| ~ spl15_104 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f3548,plain,
( ~ spl15_13
| ~ spl15_82 ),
inference(avatar_split_clause,[],[f3547,f687,f364]) ).
fof(f3547,plain,
( e2 != op(e2,e2)
| ~ spl15_82 ),
inference(forward_demodulation,[],[f169,f689]) ).
fof(f3529,plain,
( ~ spl15_42
| ~ spl15_67
| spl15_84
| ~ spl15_89 ),
inference(avatar_contradiction_clause,[],[f3528]) ).
fof(f3528,plain,
( $false
| ~ spl15_42
| ~ spl15_67
| spl15_84
| ~ spl15_89 ),
inference(subsumption_resolution,[],[f3527,f727]) ).
fof(f3527,plain,
( e2 != op(e3,e1)
| ~ spl15_42
| ~ spl15_67
| spl15_84 ),
inference(forward_demodulation,[],[f3526,f495]) ).
fof(f495,plain,
( e1 = op(e3,e0)
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f3526,plain,
( e2 != op(e3,op(e3,e0))
| ~ spl15_67
| spl15_84 ),
inference(forward_demodulation,[],[f702,f619]) ).
fof(f702,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| spl15_84 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl15_84
<=> e2 = op(e3,op(e3,op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f3521,plain,
( ~ spl15_79
| ~ spl15_97
| spl15_113 ),
inference(avatar_contradiction_clause,[],[f3520]) ).
fof(f3520,plain,
( $false
| ~ spl15_79
| ~ spl15_97
| spl15_113 ),
inference(subsumption_resolution,[],[f3519,f674]) ).
fof(f3519,plain,
( e2 != op(e0,e3)
| ~ spl15_97
| spl15_113 ),
inference(forward_demodulation,[],[f897,f769]) ).
fof(f3455,plain,
( ~ spl15_11
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f3452,f347,f355]) ).
fof(f3452,plain,
( e1 != op(e2,e2)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f173,f349]) ).
fof(f3454,plain,
( ~ spl15_10
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f3453,f347,f351]) ).
fof(f3453,plain,
( e1 != op(e1,e2)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f154,f349]) ).
fof(f3443,plain,
( ~ spl15_1
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f3442]) ).
fof(f3442,plain,
( $false
| ~ spl15_1
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f3441,f284]) ).
fof(f3441,plain,
( e0 = e1
| ~ spl15_1
| ~ spl15_4 ),
inference(forward_demodulation,[],[f314,f326]) ).
fof(f3425,plain,
( ~ spl15_9
| spl15_43
| ~ spl15_79
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f3424,f767,f672,f498,f347]) ).
fof(f3424,plain,
( e1 != op(e0,e2)
| spl15_43
| ~ spl15_79
| ~ spl15_97 ),
inference(forward_demodulation,[],[f3423,f674]) ).
fof(f3423,plain,
( e1 != op(e0,op(e0,e3))
| spl15_43
| ~ spl15_97 ),
inference(forward_demodulation,[],[f500,f769]) ).
fof(f3421,plain,
( ~ spl15_81
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f3420,f767,f683]) ).
fof(f3420,plain,
( e3 != op(e2,e0)
| ~ spl15_97 ),
inference(forward_demodulation,[],[f142,f769]) ).
fof(f142,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3407,plain,
( ~ spl15_17
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3400,f751,f382]) ).
fof(f3400,plain,
( e3 != op(e2,e2)
| ~ spl15_94 ),
inference(backward_demodulation,[],[f168,f753]) ).
fof(f3406,plain,
( ~ spl15_81
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3402,f751,f683]) ).
fof(f3402,plain,
( e3 != op(e2,e0)
| ~ spl15_94 ),
inference(backward_demodulation,[],[f163,f753]) ).
fof(f3399,plain,
( ~ spl15_65
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f3386,f767,f608]) ).
fof(f3386,plain,
( e3 != op(e1,e0)
| ~ spl15_97 ),
inference(backward_demodulation,[],[f127,f769]) ).
fof(f127,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3393,plain,
( ~ spl15_78
| ~ spl15_97
| spl15_101 ),
inference(avatar_split_clause,[],[f3392,f795,f767,f668]) ).
fof(f3392,plain,
( e1 != op(e0,e3)
| ~ spl15_97
| spl15_101 ),
inference(backward_demodulation,[],[f797,f769]) ).
fof(f797,plain,
( e1 != op(e0,op(e0,e0))
| spl15_101 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f3360,plain,
( ~ spl15_22
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f3359,f401,f405]) ).
fof(f3359,plain,
( e3 != op(e0,e3)
| ~ spl15_21 ),
inference(forward_demodulation,[],[f133,f403]) ).
fof(f3358,plain,
( ~ spl15_64
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f3357,f401,f604]) ).
fof(f3357,plain,
( e3 != op(e1,e2)
| ~ spl15_21 ),
inference(forward_demodulation,[],[f162,f403]) ).
fof(f3355,plain,
( ~ spl15_49
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f3354,f822,f527]) ).
fof(f3354,plain,
( e0 != op(e2,e2)
| ~ spl15_107 ),
inference(forward_demodulation,[],[f155,f824]) ).
fof(f3351,plain,
( ~ spl15_49
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f2814,f324,f527]) ).
fof(f2814,plain,
( e0 != op(e2,e2)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f147,f326]) ).
fof(f3286,plain,
( ~ spl15_85
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f3282,f822,f705]) ).
fof(f3282,plain,
( e0 != op(e0,e2)
| ~ spl15_107 ),
inference(backward_demodulation,[],[f156,f824]) ).
fof(f3274,plain,
( ~ spl15_85
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f3273,f333,f705]) ).
fof(f3273,plain,
( e0 != op(e0,e2)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f161,f334]) ).
fof(f334,plain,
( e0 = op(e0,e0)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f3263,plain,
( ~ spl15_72
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f3262,f554,f642]) ).
fof(f3262,plain,
( e3 != op(e3,e2)
| ~ spl15_55 ),
inference(backward_demodulation,[],[f165,f556]) ).
fof(f3260,plain,
( ~ spl15_72
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f3258,f604,f642]) ).
fof(f3258,plain,
( e3 != op(e3,e2)
| ~ spl15_64 ),
inference(backward_demodulation,[],[f145,f606]) ).
fof(f3254,plain,
( ~ spl15_85
| ~ spl15_4
| spl15_117 ),
inference(avatar_split_clause,[],[f3253,f944,f324,f705]) ).
fof(f3253,plain,
( e0 != op(e0,e2)
| ~ spl15_4
| spl15_117 ),
inference(forward_demodulation,[],[f945,f326]) ).
fof(f945,plain,
( op(e2,e3) != op(op(e2,e3),e2)
| spl15_117 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f3250,plain,
( ~ spl15_30
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f3249,f445,f441]) ).
fof(f3249,plain,
( e2 != op(e1,e2)
| ~ spl15_31 ),
inference(forward_demodulation,[],[f143,f447]) ).
fof(f3238,plain,
( spl15_107
| ~ spl15_83
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f3237,f719,f696,f822]) ).
fof(f696,plain,
( spl15_83
<=> e0 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f3237,plain,
( e0 = op(e3,e2)
| ~ spl15_83
| ~ spl15_88 ),
inference(forward_demodulation,[],[f697,f720]) ).
fof(f697,plain,
( e0 = op(e3,op(e3,e3))
| ~ spl15_83 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f3231,plain,
( ~ spl15_48
| ~ spl15_11
| spl15_57 ),
inference(avatar_split_clause,[],[f3017,f566,f355,f522]) ).
fof(f566,plain,
( spl15_57
<=> e0 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f3017,plain,
( e0 != op(e2,e1)
| ~ spl15_11
| spl15_57 ),
inference(forward_demodulation,[],[f568,f357]) ).
fof(f357,plain,
( e1 = op(e2,e2)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f568,plain,
( e0 != op(e2,op(e2,e2))
| spl15_57 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f3230,plain,
( ~ spl15_72
| ~ spl15_88
| ~ spl15_106 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3229,plain,
( $false
| ~ spl15_72
| ~ spl15_88
| ~ spl15_106 ),
inference(subsumption_resolution,[],[f3228,f279]) ).
fof(f279,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f3228,plain,
( e2 = e3
| ~ spl15_72
| ~ spl15_88
| ~ spl15_106 ),
inference(forward_demodulation,[],[f3225,f720]) ).
fof(f3225,plain,
( e3 = op(e3,e3)
| ~ spl15_72
| ~ spl15_106 ),
inference(backward_demodulation,[],[f818,f644]) ).
fof(f3219,plain,
( ~ spl15_26
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3218,plain,
( $false
| ~ spl15_26
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f3217,f281]) ).
fof(f281,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f3217,plain,
( e1 = e2
| ~ spl15_26
| ~ spl15_90 ),
inference(forward_demodulation,[],[f731,f424]) ).
fof(f3192,plain,
( ~ spl15_89
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f3191,f719,f725]) ).
fof(f3191,plain,
( e2 != op(e3,e1)
| ~ spl15_88 ),
inference(forward_demodulation,[],[f128,f720]) ).
fof(f3190,plain,
( ~ spl15_4
| ~ spl15_11
| ~ spl15_94
| spl15_115 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3189,plain,
( $false
| ~ spl15_4
| ~ spl15_11
| ~ spl15_94
| spl15_115 ),
inference(subsumption_resolution,[],[f3188,f326]) ).
fof(f3188,plain,
( e0 != op(e2,e3)
| ~ spl15_11
| ~ spl15_94
| spl15_115 ),
inference(forward_demodulation,[],[f2938,f753]) ).
fof(f2938,plain,
( e0 != op(e2,op(e2,e1))
| ~ spl15_11
| spl15_115 ),
inference(forward_demodulation,[],[f912,f357]) ).
fof(f3183,plain,
( ~ spl15_62
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f3171,f719,f593]) ).
fof(f3171,plain,
( e2 != op(e3,e2)
| ~ spl15_88 ),
inference(backward_demodulation,[],[f136,f720]) ).
fof(f3180,plain,
( ~ spl15_107
| spl15_83
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f3175,f719,f696,f822]) ).
fof(f3175,plain,
( e0 != op(e3,e2)
| spl15_83
| ~ spl15_88 ),
inference(backward_demodulation,[],[f698,f720]) ).
fof(f698,plain,
( e0 != op(e3,op(e3,e3))
| spl15_83 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f3135,plain,
( ~ spl15_110
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f3134,f598,f850]) ).
fof(f3134,plain,
( e1 != op(e1,e0)
| ~ spl15_63 ),
inference(forward_demodulation,[],[f132,f600]) ).
fof(f600,plain,
( e1 = op(e1,e3)
| ~ spl15_63 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f3133,plain,
( ~ spl15_42
| ~ spl15_100 ),
inference(avatar_contradiction_clause,[],[f3132]) ).
fof(f3132,plain,
( $false
| ~ spl15_42
| ~ spl15_100 ),
inference(subsumption_resolution,[],[f3131,f284]) ).
fof(f3131,plain,
( e0 = e1
| ~ spl15_42
| ~ spl15_100 ),
inference(forward_demodulation,[],[f495,f791]) ).
fof(f3127,plain,
( ~ spl15_22
| ~ spl15_76
| ~ spl15_100 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3126,plain,
( $false
| ~ spl15_22
| ~ spl15_76
| ~ spl15_100 ),
inference(subsumption_resolution,[],[f3125,f280]) ).
fof(f3125,plain,
( e0 = e3
| ~ spl15_22
| ~ spl15_76
| ~ spl15_100 ),
inference(forward_demodulation,[],[f3124,f407]) ).
fof(f407,plain,
( e3 = op(e0,e3)
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f3124,plain,
( e0 = op(e0,e3)
| ~ spl15_76
| ~ spl15_100 ),
inference(forward_demodulation,[],[f661,f791]) ).
fof(f661,plain,
( op(e3,e0) = op(op(e3,e0),e3)
| ~ spl15_76 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f3108,plain,
( spl15_65
| ~ spl15_34
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f3107,f836,f458,f608]) ).
fof(f836,plain,
( spl15_109
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f3107,plain,
( e3 = op(e1,e0)
| ~ spl15_34
| ~ spl15_109 ),
inference(forward_demodulation,[],[f837,f460]) ).
fof(f837,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl15_109 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f3039,plain,
( ~ spl15_26
| ~ spl15_47 ),
inference(avatar_contradiction_clause,[],[f3038]) ).
fof(f3038,plain,
( $false
| ~ spl15_26
| ~ spl15_47 ),
inference(subsumption_resolution,[],[f3037,f284]) ).
fof(f3037,plain,
( e0 = e1
| ~ spl15_26
| ~ spl15_47 ),
inference(forward_demodulation,[],[f520,f424]) ).
fof(f3024,plain,
( ~ spl15_89
| ~ spl15_41
| spl15_87 ),
inference(avatar_split_clause,[],[f3023,f714,f489,f725]) ).
fof(f714,plain,
( spl15_87
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f3023,plain,
( e2 != op(e3,e1)
| ~ spl15_41
| spl15_87 ),
inference(forward_demodulation,[],[f716,f491]) ).
fof(f716,plain,
( e2 != op(e3,op(e3,e3))
| spl15_87 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f2962,plain,
( ~ spl15_91
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f2961,f506,f734]) ).
fof(f2961,plain,
( e2 != op(e3,e0)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f144,f507]) ).
fof(f2958,plain,
( ~ spl15_47
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f2954,f458,f518]) ).
fof(f2954,plain,
( e0 != op(e0,e1)
| ~ spl15_34 ),
inference(backward_demodulation,[],[f167,f460]) ).
fof(f2946,plain,
( ~ spl15_46
| ~ spl15_41
| spl15_83 ),
inference(avatar_split_clause,[],[f2945,f696,f489,f514]) ).
fof(f2945,plain,
( e0 != op(e3,e1)
| ~ spl15_41
| spl15_83 ),
inference(backward_demodulation,[],[f698,f491]) ).
fof(f2926,plain,
( ~ spl15_23
| ~ spl15_77
| ~ spl15_92 ),
inference(avatar_contradiction_clause,[],[f2925]) ).
fof(f2925,plain,
( $false
| ~ spl15_23
| ~ spl15_77
| ~ spl15_92 ),
inference(subsumption_resolution,[],[f2924,f280]) ).
fof(f2924,plain,
( e0 = e3
| ~ spl15_23
| ~ spl15_77
| ~ spl15_92 ),
inference(forward_demodulation,[],[f2923,f741]) ).
fof(f741,plain,
( e3 = op(e0,e1)
| ~ spl15_92 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f2923,plain,
( e0 = op(e0,e1)
| ~ spl15_23
| ~ spl15_77 ),
inference(forward_demodulation,[],[f665,f411]) ).
fof(f2919,plain,
( ~ spl15_2
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f2918]) ).
fof(f2918,plain,
( $false
| ~ spl15_2
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f2917,f280]) ).
fof(f2917,plain,
( e0 = e3
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f318,f326]) ).
fof(f2883,plain,
( ~ spl15_12
| ~ spl15_88
| spl15_112 ),
inference(avatar_contradiction_clause,[],[f2882]) ).
fof(f2882,plain,
( $false
| ~ spl15_12
| ~ spl15_88
| spl15_112 ),
inference(subsumption_resolution,[],[f2876,f361]) ).
fof(f2876,plain,
( e1 != op(e3,e2)
| ~ spl15_88
| spl15_112 ),
inference(backward_demodulation,[],[f886,f720]) ).
fof(f886,plain,
( e1 != op(e3,op(e3,e3))
| spl15_112 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2874,plain,
( ~ spl15_41
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f2873,f668,f489]) ).
fof(f2873,plain,
( e1 != op(e3,e3)
| ~ spl15_78 ),
inference(forward_demodulation,[],[f130,f670]) ).
fof(f2869,plain,
( ~ spl15_23
| ~ spl15_110 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2868,plain,
( $false
| ~ spl15_23
| ~ spl15_110 ),
inference(subsumption_resolution,[],[f2867,f284]) ).
fof(f2867,plain,
( e0 = e1
| ~ spl15_23
| ~ spl15_110 ),
inference(forward_demodulation,[],[f852,f411]) ).
fof(f2845,plain,
( ~ spl15_64
| ~ spl15_29
| spl15_109 ),
inference(avatar_split_clause,[],[f2840,f836,f437,f604]) ).
fof(f2840,plain,
( e3 != op(e1,e2)
| ~ spl15_29
| spl15_109 ),
inference(backward_demodulation,[],[f838,f439]) ).
fof(f838,plain,
( e3 != op(e1,op(e1,e1))
| spl15_109 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f2837,plain,
( ~ spl15_32
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f2835,f598,f450]) ).
fof(f2835,plain,
( e1 != op(e1,e1)
| ~ spl15_63 ),
inference(backward_demodulation,[],[f166,f600]) ).
fof(f2790,plain,
( ~ spl15_94
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f2789,f739,f751]) ).
fof(f2789,plain,
( e3 != op(e2,e1)
| ~ spl15_92 ),
inference(backward_demodulation,[],[f157,f741]) ).
fof(f2785,plain,
( ~ spl15_9
| ~ spl15_45
| spl15_101 ),
inference(avatar_split_clause,[],[f2783,f795,f506,f347]) ).
fof(f2783,plain,
( e1 != op(e0,e2)
| ~ spl15_45
| spl15_101 ),
inference(backward_demodulation,[],[f797,f507]) ).
fof(f2779,plain,
( ~ spl15_45
| ~ spl15_82 ),
inference(avatar_split_clause,[],[f2778,f687,f506]) ).
fof(f2778,plain,
( op(e0,e0) != e2
| ~ spl15_82 ),
inference(forward_demodulation,[],[f142,f689]) ).
fof(f2776,plain,
( ~ spl15_52
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f2775,f324,f540]) ).
fof(f2775,plain,
( e0 != op(e1,e3)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f164,f326]) ).
fof(f2773,plain,
( ~ spl15_66
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f2769,f364,f613]) ).
fof(f2769,plain,
( e2 != op(e2,e1)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f168,f365]) ).
fof(f2772,plain,
( ~ spl15_13
| ~ spl15_114 ),
inference(avatar_contradiction_clause,[],[f2771]) ).
fof(f2771,plain,
( $false
| ~ spl15_13
| ~ spl15_114 ),
inference(subsumption_resolution,[],[f2770,f281]) ).
fof(f2770,plain,
( e1 = e2
| ~ spl15_13
| ~ spl15_114 ),
inference(forward_demodulation,[],[f2767,f365]) ).
fof(f2767,plain,
( e1 = op(e2,e2)
| ~ spl15_13
| ~ spl15_114 ),
inference(backward_demodulation,[],[f904,f365]) ).
fof(f904,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl15_114 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f903,plain,
( spl15_114
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).
fof(f2766,plain,
( ~ spl15_67
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f2764,f324,f618]) ).
fof(f2764,plain,
( e0 != op(e3,e3)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f153,f326]) ).
fof(f2762,plain,
( ~ spl15_66
| ~ spl15_82 ),
inference(avatar_split_clause,[],[f2761,f687,f613]) ).
fof(f2761,plain,
( e2 != op(e2,e1)
| ~ spl15_82 ),
inference(forward_demodulation,[],[f163,f689]) ).
fof(f2759,plain,
( ~ spl15_63
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f2758,f668,f598]) ).
fof(f2758,plain,
( e1 != op(e1,e3)
| ~ spl15_78 ),
inference(forward_demodulation,[],[f133,f670]) ).
fof(f2757,plain,
( ~ spl15_48
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f2548,f514,f522]) ).
fof(f2548,plain,
( e0 != op(e2,e1)
| ~ spl15_46 ),
inference(forward_demodulation,[],[f158,f516]) ).
fof(f2724,plain,
( ~ spl15_49
| ~ spl15_53 ),
inference(avatar_contradiction_clause,[],[f2723]) ).
fof(f2723,plain,
( $false
| ~ spl15_49
| ~ spl15_53 ),
inference(subsumption_resolution,[],[f2722,f546]) ).
fof(f2722,plain,
( e0 != op(e1,e2)
| ~ spl15_49 ),
inference(forward_demodulation,[],[f170,f528]) ).
fof(f2682,plain,
( ~ spl15_46
| ~ spl15_89 ),
inference(avatar_contradiction_clause,[],[f2681]) ).
fof(f2681,plain,
( $false
| ~ spl15_46
| ~ spl15_89 ),
inference(subsumption_resolution,[],[f2680,f283]) ).
fof(f2680,plain,
( e0 = e2
| ~ spl15_46
| ~ spl15_89 ),
inference(forward_demodulation,[],[f727,f516]) ).
fof(f2672,plain,
( ~ spl15_49
| spl15_56
| ~ spl15_61
| ~ spl15_94 ),
inference(avatar_contradiction_clause,[],[f2671]) ).
fof(f2671,plain,
( $false
| ~ spl15_49
| spl15_56
| ~ spl15_61
| ~ spl15_94 ),
inference(subsumption_resolution,[],[f2669,f753]) ).
fof(f2669,plain,
( e3 != op(e2,e1)
| ~ spl15_49
| spl15_56
| ~ spl15_61 ),
inference(backward_demodulation,[],[f2664,f590]) ).
fof(f2664,plain,
( e3 != op(e2,op(e2,e0))
| ~ spl15_49
| spl15_56 ),
inference(forward_demodulation,[],[f564,f528]) ).
fof(f564,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| spl15_56 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f562,plain,
( spl15_56
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f2634,plain,
( ~ spl15_67
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f2633,f514,f618]) ).
fof(f2633,plain,
( e0 != op(e3,e3)
| ~ spl15_46 ),
inference(forward_demodulation,[],[f128,f516]) ).
fof(f2631,plain,
( ~ spl15_13
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f2630,plain,
( $false
| ~ spl15_13
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f2629,f283]) ).
fof(f2629,plain,
( e0 = e2
| ~ spl15_13
| ~ spl15_49 ),
inference(forward_demodulation,[],[f365,f528]) ).
fof(f2622,plain,
( spl15_19
| ~ spl15_73
| ~ spl15_76 ),
inference(avatar_split_clause,[],[f2621,f659,f646,f391]) ).
fof(f2621,plain,
( e3 = op(e3,e3)
| ~ spl15_73
| ~ spl15_76 ),
inference(backward_demodulation,[],[f661,f648]) ).
fof(f2619,plain,
( ~ spl15_54
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f2618,f527,f549]) ).
fof(f2618,plain,
( e0 != op(e2,e0)
| ~ spl15_49 ),
inference(forward_demodulation,[],[f169,f528]) ).
fof(f2617,plain,
( ~ spl15_88
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f2616,f320,f719]) ).
fof(f2616,plain,
( e2 != op(e3,e3)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f153,f322]) ).
fof(f2612,plain,
( ~ spl15_23
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f2611,f544,f410]) ).
fof(f2611,plain,
( e0 != op(e1,e0)
| ~ spl15_53 ),
inference(backward_demodulation,[],[f143,f546]) ).
fof(f2610,plain,
( ~ spl15_81
| ~ spl15_49
| spl15_51 ),
inference(avatar_split_clause,[],[f2609,f535,f527,f683]) ).
fof(f2609,plain,
( e3 != op(e2,e0)
| ~ spl15_49
| spl15_51 ),
inference(forward_demodulation,[],[f537,f528]) ).
fof(f537,plain,
( e3 != op(e2,op(e2,e2))
| spl15_51 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f2608,plain,
( ~ spl15_90
| ~ spl15_98
| spl15_102
| ~ spl15_111 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
fof(f2607,plain,
( $false
| ~ spl15_90
| ~ spl15_98
| spl15_102
| ~ spl15_111 ),
inference(subsumption_resolution,[],[f2606,f880]) ).
fof(f2606,plain,
( e3 != op(e0,e2)
| ~ spl15_90
| ~ spl15_98
| spl15_102 ),
inference(forward_demodulation,[],[f2387,f731]) ).
fof(f2387,plain,
( e3 != op(e0,op(e0,e1))
| ~ spl15_98
| spl15_102 ),
inference(backward_demodulation,[],[f801,f773]) ).
fof(f2582,plain,
( ~ spl15_79
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f2581,f320,f672]) ).
fof(f2581,plain,
( e2 != op(e0,e3)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f140,f322]) ).
fof(f2557,plain,
( ~ spl15_79
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f2555,f729,f672]) ).
fof(f2555,plain,
( e2 != op(e0,e3)
| ~ spl15_90 ),
inference(backward_demodulation,[],[f135,f731]) ).
fof(f2547,plain,
( ~ spl15_11
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f2546]) ).
fof(f2546,plain,
( $false
| ~ spl15_11
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f2545,f284]) ).
fof(f2545,plain,
( e0 = e1
| ~ spl15_11
| ~ spl15_49 ),
inference(forward_demodulation,[],[f528,f357]) ).
fof(f2519,plain,
( ~ spl15_60
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f2486,f441,f583]) ).
fof(f2486,plain,
( e2 != op(e0,e2)
| ~ spl15_30 ),
inference(forward_demodulation,[],[f154,f443]) ).
fof(f443,plain,
( e2 = op(e1,e2)
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f2514,plain,
( ~ spl15_2
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f2513,f683,f316]) ).
fof(f2513,plain,
( e3 != op(e2,e3)
| ~ spl15_81 ),
inference(forward_demodulation,[],[f172,f685]) ).
fof(f2495,plain,
( ~ spl15_41
| ~ spl15_46
| spl15_84
| ~ spl15_91 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| ~ spl15_41
| ~ spl15_46
| spl15_84
| ~ spl15_91 ),
inference(subsumption_resolution,[],[f2493,f736]) ).
fof(f2493,plain,
( e2 != op(e3,e0)
| ~ spl15_41
| ~ spl15_46
| spl15_84 ),
inference(forward_demodulation,[],[f2492,f516]) ).
fof(f2492,plain,
( e2 != op(e3,op(e3,e1))
| ~ spl15_41
| spl15_84 ),
inference(forward_demodulation,[],[f702,f491]) ).
fof(f2443,plain,
( ~ spl15_29
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f2442,f441,f437]) ).
fof(f2442,plain,
( e2 != op(e1,e1)
| ~ spl15_30 ),
inference(forward_demodulation,[],[f149,f443]) ).
fof(f2417,plain,
( ~ spl15_41
| ~ spl15_72
| ~ spl15_106 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2416,plain,
( $false
| ~ spl15_41
| ~ spl15_72
| ~ spl15_106 ),
inference(subsumption_resolution,[],[f2415,f282]) ).
fof(f2415,plain,
( e1 = e3
| ~ spl15_41
| ~ spl15_72
| ~ spl15_106 ),
inference(forward_demodulation,[],[f2299,f491]) ).
fof(f2299,plain,
( e3 = op(e3,e3)
| ~ spl15_72
| ~ spl15_106 ),
inference(forward_demodulation,[],[f818,f644]) ).
fof(f2397,plain,
( ~ spl15_9
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f2396,f771,f347]) ).
fof(f2396,plain,
( e1 != op(e0,e2)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f161,f773]) ).
fof(f2394,plain,
( spl15_44
| ~ spl15_92
| ~ spl15_98 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2393,plain,
( $false
| spl15_44
| ~ spl15_92
| ~ spl15_98 ),
inference(subsumption_resolution,[],[f2388,f741]) ).
fof(f2388,plain,
( e3 != op(e0,e1)
| spl15_44
| ~ spl15_98 ),
inference(backward_demodulation,[],[f504,f773]) ).
fof(f2382,plain,
( ~ spl15_19
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f2381,f642,f391]) ).
fof(f2381,plain,
( e3 != op(e3,e3)
| ~ spl15_72 ),
inference(forward_demodulation,[],[f136,f644]) ).
fof(f2302,plain,
( ~ spl15_72
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2301,plain,
( $false
| ~ spl15_72
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f2300,f280]) ).
fof(f2300,plain,
( e0 = e3
| ~ spl15_72
| ~ spl15_107 ),
inference(forward_demodulation,[],[f824,f644]) ).
fof(f2280,plain,
( ~ spl15_61
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f2279,f355,f588]) ).
fof(f2279,plain,
( e1 != op(e2,e0)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f169,f357]) ).
fof(f2273,plain,
( ~ spl15_7
| ~ spl15_66 ),
inference(avatar_contradiction_clause,[],[f2272]) ).
fof(f2272,plain,
( $false
| ~ spl15_7
| ~ spl15_66 ),
inference(subsumption_resolution,[],[f2271,f281]) ).
fof(f2271,plain,
( e1 = e2
| ~ spl15_7
| ~ spl15_66 ),
inference(forward_demodulation,[],[f339,f615]) ).
fof(f2265,plain,
( ~ spl15_4
| ~ spl15_54 ),
inference(avatar_contradiction_clause,[],[f2264]) ).
fof(f2264,plain,
( $false
| ~ spl15_4
| ~ spl15_54 ),
inference(subsumption_resolution,[],[f1960,f550]) ).
fof(f1960,plain,
( e0 != op(e2,e0)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f172,f326]) ).
fof(f2230,plain,
( ~ spl15_19
| spl15_116 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl15_19
| spl15_116 ),
inference(subsumption_resolution,[],[f2221,f392]) ).
fof(f2221,plain,
( e3 != op(e3,e3)
| ~ spl15_19
| spl15_116 ),
inference(backward_demodulation,[],[f941,f392]) ).
fof(f941,plain,
( op(e3,e3) != op(op(e3,e3),e3)
| spl15_116 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl15_116
<=> op(e3,e3) = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).
fof(f2195,plain,
( ~ spl15_4
| ~ spl15_17
| spl15_57 ),
inference(avatar_contradiction_clause,[],[f2194]) ).
fof(f2194,plain,
( $false
| ~ spl15_4
| ~ spl15_17
| spl15_57 ),
inference(subsumption_resolution,[],[f2193,f326]) ).
fof(f2193,plain,
( e0 != op(e2,e3)
| ~ spl15_17
| spl15_57 ),
inference(forward_demodulation,[],[f568,f383]) ).
fof(f2188,plain,
( ~ spl15_53
| ~ spl15_95
| spl15_96 ),
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2187,plain,
( $false
| ~ spl15_53
| ~ spl15_95
| spl15_96 ),
inference(subsumption_resolution,[],[f2186,f546]) ).
fof(f2186,plain,
( e0 != op(e1,e2)
| ~ spl15_95
| spl15_96 ),
inference(forward_demodulation,[],[f763,f758]) ).
fof(f2179,plain,
( spl15_82
| ~ spl15_60
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f1837,f808,f583,f687]) ).
fof(f1837,plain,
( e2 = op(e2,e0)
| ~ spl15_60
| ~ spl15_104 ),
inference(forward_demodulation,[],[f810,f584]) ).
fof(f2165,plain,
( ~ spl15_54
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f2164,f333,f549]) ).
fof(f2164,plain,
( e0 != op(e2,e0)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f142,f334]) ).
fof(f2158,plain,
( ~ spl15_29
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f2157,f613,f437]) ).
fof(f2157,plain,
( e2 != op(e1,e1)
| ~ spl15_66 ),
inference(forward_demodulation,[],[f134,f615]) ).
fof(f134,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2134,plain,
( ~ spl15_4
| ~ spl15_17
| spl15_50
| ~ spl15_61 ),
inference(avatar_contradiction_clause,[],[f2133]) ).
fof(f2133,plain,
( $false
| ~ spl15_4
| ~ spl15_17
| spl15_50
| ~ spl15_61 ),
inference(subsumption_resolution,[],[f1928,f590]) ).
fof(f1928,plain,
( e1 != op(e2,e0)
| ~ spl15_4
| ~ spl15_17
| spl15_50 ),
inference(backward_demodulation,[],[f1926,f326]) ).
fof(f1926,plain,
( e1 != op(e2,op(e2,e3))
| ~ spl15_17
| spl15_50 ),
inference(backward_demodulation,[],[f533,f383]) ).
fof(f2124,plain,
( ~ spl15_34
| ~ spl15_65
| spl15_109 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2123,plain,
( $false
| ~ spl15_34
| ~ spl15_65
| spl15_109 ),
inference(subsumption_resolution,[],[f2122,f610]) ).
fof(f610,plain,
( e3 = op(e1,e0)
| ~ spl15_65 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f2122,plain,
( e3 != op(e1,e0)
| ~ spl15_34
| spl15_109 ),
inference(forward_demodulation,[],[f838,f460]) ).
fof(f2083,plain,
( ~ spl15_64
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f1995,f382,f604]) ).
fof(f1995,plain,
( e3 != op(e1,e2)
| ~ spl15_17 ),
inference(forward_demodulation,[],[f170,f383]) ).
fof(f2078,plain,
( ~ spl15_64
| ~ spl15_65 ),
inference(avatar_split_clause,[],[f2077,f608,f604]) ).
fof(f2077,plain,
( e3 != op(e1,e2)
| ~ spl15_65 ),
inference(forward_demodulation,[],[f143,f610]) ).
fof(f2057,plain,
( ~ spl15_28
| ~ spl15_63 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
fof(f2056,plain,
( $false
| ~ spl15_28
| ~ spl15_63 ),
inference(subsumption_resolution,[],[f2055,f281]) ).
fof(f2055,plain,
( e1 = e2
| ~ spl15_28
| ~ spl15_63 ),
inference(forward_demodulation,[],[f600,f435]) ).
fof(f2029,plain,
( ~ spl15_17
| ~ spl15_75
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| ~ spl15_17
| ~ spl15_75
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f2027,f279]) ).
fof(f2027,plain,
( e2 = e3
| ~ spl15_17
| ~ spl15_75
| ~ spl15_82 ),
inference(forward_demodulation,[],[f1808,f383]) ).
fof(f1808,plain,
( e2 = op(e2,e2)
| ~ spl15_75
| ~ spl15_82 ),
inference(backward_demodulation,[],[f657,f689]) ).
fof(f2023,plain,
( ~ spl15_28
| ~ spl15_34
| ~ spl15_65
| spl15_108 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl15_28
| ~ spl15_34
| ~ spl15_65
| spl15_108 ),
inference(subsumption_resolution,[],[f2018,f435]) ).
fof(f2018,plain,
( e2 != op(e1,e3)
| ~ spl15_34
| ~ spl15_65
| spl15_108 ),
inference(backward_demodulation,[],[f1992,f610]) ).
fof(f1992,plain,
( e2 != op(e1,op(e1,e0))
| ~ spl15_34
| spl15_108 ),
inference(forward_demodulation,[],[f834,f460]) ).
fof(f1964,plain,
( ~ spl15_48
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f1963,f458,f522]) ).
fof(f1963,plain,
( e0 != op(e2,e1)
| ~ spl15_34 ),
inference(forward_demodulation,[],[f134,f460]) ).
fof(f1958,plain,
( ~ spl15_88
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f1955,f734,f719]) ).
fof(f1955,plain,
( e2 != op(e3,e3)
| ~ spl15_91 ),
inference(backward_demodulation,[],[f129,f736]) ).
fof(f1945,plain,
( ~ spl15_61
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1944,plain,
( $false
| ~ spl15_61
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f1943,f281]) ).
fof(f1943,plain,
( e1 = e2
| ~ spl15_61
| ~ spl15_82 ),
inference(forward_demodulation,[],[f590,f689]) ).
fof(f1918,plain,
( ~ spl15_46
| spl15_86
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f1917,f884,f710,f514]) ).
fof(f1917,plain,
( e0 != op(e3,e1)
| spl15_86
| ~ spl15_112 ),
inference(backward_demodulation,[],[f712,f885]) ).
fof(f1915,plain,
( ~ spl15_80
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f1911,f333,f676]) ).
fof(f1911,plain,
( e0 != op(e0,e3)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f151,f334]) ).
fof(f1902,plain,
( ~ spl15_12
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1901,plain,
( $false
| ~ spl15_12
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f1900,f284]) ).
fof(f1900,plain,
( e0 = e1
| ~ spl15_12
| ~ spl15_107 ),
inference(forward_demodulation,[],[f824,f361]) ).
fof(f1896,plain,
( ~ spl15_3
| ~ spl15_28 ),
inference(avatar_split_clause,[],[f1895,f433,f320]) ).
fof(f1895,plain,
( e2 != op(e2,e3)
| ~ spl15_28 ),
inference(forward_demodulation,[],[f164,f435]) ).
fof(f1874,plain,
( ~ spl15_2
| ~ spl15_3 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1873,plain,
( $false
| ~ spl15_2
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f1872,f279]) ).
fof(f1872,plain,
( e2 = e3
| ~ spl15_2
| ~ spl15_3 ),
inference(forward_demodulation,[],[f322,f318]) ).
fof(f1849,plain,
( ~ spl15_22
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f1848,f739,f405]) ).
fof(f1848,plain,
( e3 != op(e0,e3)
| ~ spl15_92 ),
inference(forward_demodulation,[],[f135,f741]) ).
fof(f1825,plain,
( ~ spl15_53
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1824,plain,
( $false
| ~ spl15_53
| ~ spl15_64 ),
inference(subsumption_resolution,[],[f1823,f280]) ).
fof(f1823,plain,
( e0 = e3
| ~ spl15_53
| ~ spl15_64 ),
inference(forward_demodulation,[],[f546,f606]) ).
fof(f1822,plain,
( ~ spl15_73
| spl15_69
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f1602,f739,f629,f646]) ).
fof(f1602,plain,
( e3 != op(e3,e0)
| spl15_69
| ~ spl15_92 ),
inference(forward_demodulation,[],[f630,f741]) ).
fof(f1818,plain,
( ~ spl15_31
| ~ spl15_28 ),
inference(avatar_split_clause,[],[f1758,f433,f445]) ).
fof(f1758,plain,
( e2 != op(e1,e0)
| ~ spl15_28 ),
inference(forward_demodulation,[],[f132,f435]) ).
fof(f1816,plain,
( spl15_42
| ~ spl15_67
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f1685,f884,f618,f493]) ).
fof(f1685,plain,
( e1 = op(e3,e0)
| ~ spl15_67
| ~ spl15_112 ),
inference(forward_demodulation,[],[f885,f619]) ).
fof(f1814,plain,
( ~ spl15_11
| ~ spl15_75
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1813,plain,
( $false
| ~ spl15_11
| ~ spl15_75
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f1812,f281]) ).
fof(f1812,plain,
( e1 = e2
| ~ spl15_11
| ~ spl15_75
| ~ spl15_82 ),
inference(forward_demodulation,[],[f1808,f357]) ).
fof(f1806,plain,
( spl15_48
| ~ spl15_11
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f1805,f566,f355,f522]) ).
fof(f1805,plain,
( e0 = op(e2,e1)
| ~ spl15_11
| ~ spl15_57 ),
inference(forward_demodulation,[],[f567,f357]) ).
fof(f567,plain,
( e0 = op(e2,op(e2,e2))
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1802,plain,
( ~ spl15_42
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f1801,f771,f493]) ).
fof(f1801,plain,
( e1 != op(e3,e0)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f144,f773]) ).
fof(f1794,plain,
( ~ spl15_79
| ~ spl15_92
| ~ spl15_98
| spl15_99 ),
inference(avatar_split_clause,[],[f1615,f784,f771,f739,f672]) ).
fof(f1615,plain,
( e2 != op(e0,e3)
| ~ spl15_92
| ~ spl15_98
| spl15_99 ),
inference(forward_demodulation,[],[f1614,f741]) ).
fof(f1614,plain,
( e2 != op(e0,op(e0,e1))
| ~ spl15_98
| spl15_99 ),
inference(forward_demodulation,[],[f786,f773]) ).
fof(f1790,plain,
( ~ spl15_94
| ~ spl15_11
| spl15_51 ),
inference(avatar_split_clause,[],[f1658,f535,f355,f751]) ).
fof(f1658,plain,
( e3 != op(e2,e1)
| ~ spl15_11
| spl15_51 ),
inference(backward_demodulation,[],[f537,f357]) ).
fof(f1785,plain,
( ~ spl15_54
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| ~ spl15_54
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f1783,f283]) ).
fof(f1783,plain,
( e0 = e2
| ~ spl15_54
| ~ spl15_82 ),
inference(forward_demodulation,[],[f689,f550]) ).
fof(f1765,plain,
( ~ spl15_60
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1764,plain,
( $false
| ~ spl15_60
| ~ spl15_85 ),
inference(subsumption_resolution,[],[f1763,f283]) ).
fof(f1763,plain,
( e0 = e2
| ~ spl15_60
| ~ spl15_85 ),
inference(forward_demodulation,[],[f584,f707]) ).
fof(f1720,plain,
( ~ spl15_32
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| ~ spl15_32
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1718,f284]) ).
fof(f1718,plain,
( e0 = e1
| ~ spl15_32
| ~ spl15_34 ),
inference(forward_demodulation,[],[f460,f452]) ).
fof(f452,plain,
( e1 = op(e1,e1)
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1713,plain,
( ~ spl15_42
| ~ spl15_91 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1712,plain,
( $false
| ~ spl15_42
| ~ spl15_91 ),
inference(subsumption_resolution,[],[f1711,f281]) ).
fof(f1711,plain,
( e1 = e2
| ~ spl15_42
| ~ spl15_91 ),
inference(forward_demodulation,[],[f495,f736]) ).
fof(f1707,plain,
( ~ spl15_110
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f1706,f771,f850]) ).
fof(f1706,plain,
( e1 != op(e1,e0)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f127,f773]) ).
fof(f1705,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1704,plain,
( $false
| ~ spl15_1
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f1703,f282]) ).
fof(f1703,plain,
( e1 = e3
| ~ spl15_1
| ~ spl15_2 ),
inference(forward_demodulation,[],[f314,f318]) ).
fof(f1699,plain,
( ~ spl15_28
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f1698,f441,f433]) ).
fof(f1698,plain,
( e2 != op(e1,e3)
| ~ spl15_30 ),
inference(forward_demodulation,[],[f162,f443]) ).
fof(f1693,plain,
( ~ spl15_85
| ~ spl15_98
| ~ spl15_104 ),
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1692,plain,
( $false
| ~ spl15_85
| ~ spl15_98
| ~ spl15_104 ),
inference(subsumption_resolution,[],[f1691,f284]) ).
fof(f1691,plain,
( e0 = e1
| ~ spl15_85
| ~ spl15_98
| ~ spl15_104 ),
inference(forward_demodulation,[],[f1690,f773]) ).
fof(f1690,plain,
( e0 = op(e0,e0)
| ~ spl15_85
| ~ spl15_104 ),
inference(forward_demodulation,[],[f810,f707]) ).
fof(f1681,plain,
( spl15_80
| ~ spl15_67
| ~ spl15_116 ),
inference(avatar_split_clause,[],[f1406,f940,f618,f676]) ).
fof(f1406,plain,
( e0 = op(e0,e3)
| ~ spl15_67
| ~ spl15_116 ),
inference(backward_demodulation,[],[f942,f619]) ).
fof(f942,plain,
( op(e3,e3) = op(op(e3,e3),e3)
| ~ spl15_116 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1676,plain,
( ~ spl15_81
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1675,plain,
( $false
| ~ spl15_81
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f1674,f279]) ).
fof(f1674,plain,
( e2 = e3
| ~ spl15_81
| ~ spl15_82 ),
inference(forward_demodulation,[],[f689,f685]) ).
fof(f1651,plain,
( ~ spl15_17
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f1650,f642,f382]) ).
fof(f1650,plain,
( e3 != op(e2,e2)
| ~ spl15_72 ),
inference(forward_demodulation,[],[f155,f644]) ).
fof(f1635,plain,
( ~ spl15_41
| ~ spl15_67 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl15_41
| ~ spl15_67 ),
inference(subsumption_resolution,[],[f1633,f284]) ).
fof(f1633,plain,
( e0 = e1
| ~ spl15_41
| ~ spl15_67 ),
inference(forward_demodulation,[],[f491,f619]) ).
fof(f1629,plain,
( ~ spl15_17
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f1627,f316,f382]) ).
fof(f1627,plain,
( e3 != op(e2,e2)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f147,f318]) ).
fof(f1609,plain,
( ~ spl15_47
| ~ spl15_92 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1608,plain,
( $false
| ~ spl15_47
| ~ spl15_92 ),
inference(subsumption_resolution,[],[f1607,f280]) ).
fof(f1607,plain,
( e0 = e3
| ~ spl15_47
| ~ spl15_92 ),
inference(forward_demodulation,[],[f520,f741]) ).
fof(f1591,plain,
( spl15_66
| ~ spl15_30
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f1499,f804,f441,f613]) ).
fof(f1499,plain,
( e2 = op(e2,e1)
| ~ spl15_30
| ~ spl15_103 ),
inference(forward_demodulation,[],[f806,f443]) ).
fof(f1573,plain,
( ~ spl15_54
| ~ spl15_81 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1572,plain,
( $false
| ~ spl15_54
| ~ spl15_81 ),
inference(subsumption_resolution,[],[f1571,f280]) ).
fof(f1571,plain,
( e0 = e3
| ~ spl15_54
| ~ spl15_81 ),
inference(forward_demodulation,[],[f550,f685]) ).
fof(f1566,plain,
( ~ spl15_92
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f1434,f554,f739]) ).
fof(f1434,plain,
( e3 != op(e0,e1)
| ~ spl15_55 ),
inference(forward_demodulation,[],[f137,f556]) ).
fof(f1557,plain,
( ~ spl15_12
| ~ spl15_67
| ~ spl15_91
| spl15_93 ),
inference(avatar_contradiction_clause,[],[f1556]) ).
fof(f1556,plain,
( $false
| ~ spl15_12
| ~ spl15_67
| ~ spl15_91
| spl15_93 ),
inference(subsumption_resolution,[],[f1553,f361]) ).
fof(f1553,plain,
( e1 != op(e3,e2)
| ~ spl15_67
| ~ spl15_91
| spl15_93 ),
inference(backward_demodulation,[],[f1409,f736]) ).
fof(f1409,plain,
( e1 != op(e3,op(e3,e0))
| ~ spl15_67
| spl15_93 ),
inference(backward_demodulation,[],[f748,f619]) ).
fof(f1547,plain,
( ~ spl15_12
| ~ spl15_72 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1546,plain,
( $false
| ~ spl15_12
| ~ spl15_72 ),
inference(subsumption_resolution,[],[f1545,f282]) ).
fof(f1545,plain,
( e1 = e3
| ~ spl15_12
| ~ spl15_72 ),
inference(forward_demodulation,[],[f644,f361]) ).
fof(f1535,plain,
( ~ spl15_61
| ~ spl15_81 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| ~ spl15_61
| ~ spl15_81 ),
inference(subsumption_resolution,[],[f1533,f282]) ).
fof(f1533,plain,
( e1 = e3
| ~ spl15_61
| ~ spl15_81 ),
inference(forward_demodulation,[],[f590,f685]) ).
fof(f1508,plain,
( ~ spl15_90
| ~ spl15_92 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl15_90
| ~ spl15_92 ),
inference(subsumption_resolution,[],[f1506,f279]) ).
fof(f1506,plain,
( e2 = e3
| ~ spl15_90
| ~ spl15_92 ),
inference(forward_demodulation,[],[f741,f731]) ).
fof(f1493,plain,
( ~ spl15_91
| ~ spl15_67
| spl15_87 ),
inference(avatar_split_clause,[],[f1422,f714,f618,f734]) ).
fof(f1422,plain,
( e2 != op(e3,e0)
| ~ spl15_67
| spl15_87 ),
inference(forward_demodulation,[],[f716,f619]) ).
fof(f1455,plain,
( ~ spl15_42
| ~ spl15_67
| spl15_112 ),
inference(avatar_split_clause,[],[f1419,f884,f618,f493]) ).
fof(f1419,plain,
( e1 != op(e3,e0)
| ~ spl15_67
| spl15_112 ),
inference(forward_demodulation,[],[f886,f619]) ).
fof(f1391,plain,
( ~ spl15_41
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1390,f493,f489]) ).
fof(f1390,plain,
( e1 != op(e3,e3)
| ~ spl15_42 ),
inference(forward_demodulation,[],[f129,f495]) ).
fof(f1383,plain,
( ~ spl15_22
| ~ spl15_78 ),
inference(avatar_contradiction_clause,[],[f1382]) ).
fof(f1382,plain,
( $false
| ~ spl15_22
| ~ spl15_78 ),
inference(subsumption_resolution,[],[f1381,f282]) ).
fof(f1381,plain,
( e1 = e3
| ~ spl15_22
| ~ spl15_78 ),
inference(forward_demodulation,[],[f670,f407]) ).
fof(f1379,plain,
( ~ spl15_73
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f1378,f683,f646]) ).
fof(f1378,plain,
( e3 != op(e3,e0)
| ~ spl15_81 ),
inference(forward_demodulation,[],[f152,f685]) ).
fof(f1339,plain,
( ~ spl15_32
| ~ spl15_33 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl15_32
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f1337,f282]) ).
fof(f1337,plain,
( e1 = e3
| ~ spl15_32
| ~ spl15_33 ),
inference(forward_demodulation,[],[f456,f452]) ).
fof(f1331,plain,
( ~ spl15_11
| ~ spl15_48
| spl15_56
| ~ spl15_81 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl15_11
| ~ spl15_48
| spl15_56
| ~ spl15_81 ),
inference(subsumption_resolution,[],[f1329,f685]) ).
fof(f1329,plain,
( e3 != op(e2,e0)
| ~ spl15_11
| ~ spl15_48
| spl15_56 ),
inference(forward_demodulation,[],[f1327,f524]) ).
fof(f1327,plain,
( e3 != op(e2,op(e2,e1))
| ~ spl15_11
| spl15_56 ),
inference(backward_demodulation,[],[f564,f357]) ).
fof(f1277,plain,
( ~ spl15_42
| ~ spl15_73 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| ~ spl15_42
| ~ spl15_73 ),
inference(subsumption_resolution,[],[f1275,f282]) ).
fof(f1275,plain,
( e1 = e3
| ~ spl15_42
| ~ spl15_73 ),
inference(forward_demodulation,[],[f495,f648]) ).
fof(f1260,plain,
( ~ spl15_1
| ~ spl15_3 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl15_1
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f1258,f281]) ).
fof(f1258,plain,
( e1 = e2
| ~ spl15_1
| ~ spl15_3 ),
inference(forward_demodulation,[],[f314,f322]) ).
fof(f1249,plain,
( ~ spl15_9
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| ~ spl15_9
| ~ spl15_85 ),
inference(subsumption_resolution,[],[f1247,f284]) ).
fof(f1247,plain,
( e0 = e1
| ~ spl15_9
| ~ spl15_85 ),
inference(forward_demodulation,[],[f707,f349]) ).
fof(f1199,plain,
( ~ spl15_46
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1198,plain,
( $false
| ~ spl15_46
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1197,f280]) ).
fof(f1197,plain,
( e0 = e3
| ~ spl15_46
| ~ spl15_55 ),
inference(forward_demodulation,[],[f556,f516]) ).
fof(f1151,plain,
( ~ spl15_62
| ~ spl15_72 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl15_62
| ~ spl15_72 ),
inference(subsumption_resolution,[],[f1149,f279]) ).
fof(f1149,plain,
( e2 = e3
| ~ spl15_62
| ~ spl15_72 ),
inference(forward_demodulation,[],[f644,f594]) ).
fof(f1147,plain,
( ~ spl15_1
| ~ spl15_17
| spl15_114 ),
inference(avatar_split_clause,[],[f1145,f903,f382,f312]) ).
fof(f1145,plain,
( e1 != op(e2,e3)
| ~ spl15_17
| spl15_114 ),
inference(backward_demodulation,[],[f905,f383]) ).
fof(f905,plain,
( e1 != op(e2,op(e2,e2))
| spl15_114 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1142,plain,
( ~ spl15_31
| ~ spl15_65 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl15_31
| ~ spl15_65 ),
inference(subsumption_resolution,[],[f1140,f279]) ).
fof(f1140,plain,
( e2 = e3
| ~ spl15_31
| ~ spl15_65 ),
inference(forward_demodulation,[],[f447,f610]) ).
fof(f1130,plain,
( ~ spl15_3
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f1129,f613,f320]) ).
fof(f1129,plain,
( e2 != op(e2,e3)
| ~ spl15_66 ),
inference(forward_demodulation,[],[f146,f615]) ).
fof(f1126,plain,
( ~ spl15_48
| ~ spl15_66 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| ~ spl15_48
| ~ spl15_66 ),
inference(subsumption_resolution,[],[f1124,f283]) ).
fof(f1124,plain,
( e0 = e2
| ~ spl15_48
| ~ spl15_66 ),
inference(forward_demodulation,[],[f524,f615]) ).
fof(f1117,plain,
( ~ spl15_19
| ~ spl15_41 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1116,plain,
( $false
| ~ spl15_19
| ~ spl15_41 ),
inference(subsumption_resolution,[],[f1115,f282]) ).
fof(f1115,plain,
( e1 = e3
| ~ spl15_19
| ~ spl15_41 ),
inference(forward_demodulation,[],[f392,f491]) ).
fof(f1114,plain,
( ~ spl15_6
| ~ spl15_45 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1113,plain,
( $false
| ~ spl15_6
| ~ spl15_45 ),
inference(subsumption_resolution,[],[f1112,f283]) ).
fof(f1112,plain,
( e0 = e2
| ~ spl15_6
| ~ spl15_45 ),
inference(forward_demodulation,[],[f334,f507]) ).
fof(f1104,plain,
( ~ spl15_23
| ~ spl15_65 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| ~ spl15_23
| ~ spl15_65 ),
inference(subsumption_resolution,[],[f1102,f280]) ).
fof(f1102,plain,
( e0 = e3
| ~ spl15_23
| ~ spl15_65 ),
inference(forward_demodulation,[],[f411,f610]) ).
fof(f1093,plain,
( ~ spl15_17
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1092,plain,
( $false
| ~ spl15_17
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f1091,f280]) ).
fof(f1091,plain,
( e0 = e3
| ~ spl15_17
| ~ spl15_49 ),
inference(forward_demodulation,[],[f383,f528]) ).
fof(f1087,plain,
( ~ spl15_49
| ~ spl15_61
| spl15_114 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| ~ spl15_49
| ~ spl15_61
| spl15_114 ),
inference(subsumption_resolution,[],[f1085,f590]) ).
fof(f1085,plain,
( e1 != op(e2,e0)
| ~ spl15_49
| spl15_114 ),
inference(forward_demodulation,[],[f905,f528]) ).
fof(f1051,plain,
( ~ spl15_31
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f1048,f506,f445]) ).
fof(f1048,plain,
( e2 != op(e1,e0)
| ~ spl15_45 ),
inference(backward_demodulation,[],[f127,f507]) ).
fof(f1043,plain,
( ~ spl15_65
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f1039,f454,f608]) ).
fof(f1039,plain,
( e3 != op(e1,e0)
| ~ spl15_33 ),
inference(backward_demodulation,[],[f131,f456]) ).
fof(f1031,plain,
( spl15_32
| ~ spl15_10
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f1024,f804,f351,f450]) ).
fof(f1024,plain,
( e1 = op(e1,e1)
| ~ spl15_10
| ~ spl15_103 ),
inference(backward_demodulation,[],[f806,f353]) ).
fof(f1030,plain,
( ~ spl15_63
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f1022,f351,f598]) ).
fof(f1022,plain,
( e1 != op(e1,e3)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f162,f353]) ).
fof(f978,plain,
( ~ spl15_98
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f972,f588,f771]) ).
fof(f972,plain,
( op(e0,e0) != e1
| ~ spl15_61 ),
inference(backward_demodulation,[],[f142,f590]) ).
fof(f958,plain,
( ~ spl15_84
| ~ spl15_67
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f124,f884,f618,f700]) ).
fof(f124,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f957,plain,
( ~ spl15_24
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f249,f771,f414]) ).
fof(f414,plain,
( spl15_24
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f249,plain,
( op(e0,e0) != e1
| ~ sP2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e3 != op(e1,e3)
& e0 != op(e1,e0)
& op(e0,e0) != e1
& e2 != op(e1,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e3 != op(e1,e3)
& e0 != op(e1,e0)
& op(e0,e0) != e1
& e2 != op(e1,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f956,plain,
( spl15_39
| spl15_37
| spl15_16
| ~ spl15_23
| spl15_18
| spl15_35
| spl15_8
| spl15_27
| spl15_36
| spl15_24
| spl15_14
| spl15_38
| spl15_15
| spl15_20
| spl15_25
| spl15_5 ),
inference(avatar_split_clause,[],[f275,f329,f419,f396,f373,f476,f368,f414,f468,f428,f342,f463,f387,f410,f378,f472,f480]) ).
fof(f480,plain,
( spl15_39
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f472,plain,
( spl15_37
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f378,plain,
( spl15_16
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f387,plain,
( spl15_18
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f463,plain,
( spl15_35
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f342,plain,
( spl15_8
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f428,plain,
( spl15_27
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f468,plain,
( spl15_36
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f368,plain,
( spl15_14
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f476,plain,
( spl15_38
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f373,plain,
( spl15_15
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f396,plain,
( spl15_20
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f419,plain,
( spl15_25
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f329,plain,
( spl15_5
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f275,plain,
( sP9
| sP11
| sP3
| sP5
| sP8
| sP14
| sP2
| sP13
| sP12
| sP10
| sP0
| sP6
| e0 != op(e1,e0)
| sP7
| sP1
| sP4 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( ( e0 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e2,e2)
& e2 = op(e2,e1)
& e3 != op(e1,e3)
& e2 != op(e1,e2) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( op(e1,e3) = op(op(e1,e3),e1)
| op(e2,e3) = op(op(e2,e3),e2)
| op(e3,e3) = op(op(e3,e3),e3)
| op(e0,e3) = op(op(e0,e3),e0) )
& ( op(e1,e0) = op(op(e1,e0),e1)
| op(e0,e0) = op(op(e0,e0),e0)
| op(e2,e0) = op(op(e2,e0),e2)
| op(e3,e0) = op(op(e3,e0),e3) )
& ( op(e2,e2) = op(op(e2,e2),e2)
| op(e1,e2) = op(op(e1,e2),e1)
| op(e0,e2) = op(op(e0,e2),e0)
| op(e3,e2) = op(op(e3,e2),e3) )
& ( op(e2,e1) = op(op(e2,e1),e2)
| op(e0,e1) = op(op(e0,e1),e0)
| op(e1,e1) = op(op(e1,e1),e1)
| op(e3,e1) = op(op(e3,e1),e3) ) ),
inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e1 != op(e1,e1)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e3 != op(e1,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e2)
& e3 != op(e3,e3)
& e1 = op(e1,e3)
& e0 != op(e3,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f57,plain,
( ( e2 != op(e3,e2)
& op(e0,e0) != e3
& e0 != op(e3,e0)
& e0 = op(e0,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 != op(e3,e3)
& e3 != op(e1,e3)
& e3 = op(e3,e1)
& e1 != op(e1,e1) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e3 != op(e2,e3)
& e0 != op(e2,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e1)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e3 != op(e2,e2)
& e2 != op(e3,e2)
& e2 = op(e2,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0)
& e1 != op(e3,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f62,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f63,plain,
( ( e2 = op(e2,e0)
& e1 != op(e0,e1)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f64,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 != op(e2,e3)
& e2 != op(e2,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f65,plain,
( ( e0 != op(e3,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e3 = op(e3,e0)
& e3 != op(e0,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f66,plain,
( ( e3 != op(e0,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e1,e1)
& e1 = op(e1,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f67,plain,
( ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e0 != op(e2,e0)
& e3 != op(e2,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f68,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 = op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f5,axiom,
( ( ( e0 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e2,e2)
& e2 = op(e2,e1)
& e3 != op(e1,e3)
& e2 != op(e1,e2) )
| ( e3 != op(e2,e3)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 = op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e2,e2) )
| ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e0 != op(e2,e0)
& e3 != op(e2,e3) )
| ( e3 != op(e0,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e1,e1)
& e1 = op(e1,e0) )
| ( e0 != op(e3,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e3 = op(e3,e0)
& e3 != op(e0,e3) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 != op(e2,e3)
& e2 != op(e2,e2) )
| ( e2 = op(e2,e0)
& e1 != op(e0,e1)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e0) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e3 != op(e2,e2)
& e2 != op(e3,e2)
& e2 = op(e2,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0)
& e1 != op(e3,e1) )
| ( e2 != op(e3,e2)
& e1 != op(e3,e1)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0) )
| ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e3 != op(e2,e3)
& e0 != op(e2,e0) )
| ( e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 != op(e3,e3)
& e3 != op(e1,e3)
& e3 = op(e3,e1)
& e1 != op(e1,e1) )
| ( e2 != op(e3,e2)
& op(e0,e0) != e3
& e0 != op(e3,e0)
& e0 = op(e0,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e1) )
| ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e3 != op(e1,e3)
& e0 != op(e1,e0)
& op(e0,e0) != e1
& e2 != op(e1,e2) )
| ( e3 != op(e1,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e2)
& e3 != op(e3,e3)
& e1 = op(e1,e3)
& e0 != op(e3,e0) )
| ( e1 != op(e1,e1)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 = op(e1,e1)
& e1 != op(e1,e1) ) )
& ( op(e1,e3) = op(op(e1,e3),e1)
| op(e2,e3) = op(op(e2,e3),e2)
| op(e3,e3) = op(op(e3,e3),e3)
| op(e0,e3) = op(op(e0,e3),e0) )
& ( op(e1,e0) = op(op(e1,e0),e1)
| op(e0,e0) = op(op(e0,e0),e0)
| op(e2,e0) = op(op(e2,e0),e2)
| op(e3,e0) = op(op(e3,e0),e3) )
& ( op(e2,e2) = op(op(e2,e2),e2)
| op(e1,e2) = op(op(e1,e2),e1)
| op(e0,e2) = op(op(e0,e2),e0)
| op(e3,e2) = op(op(e3,e2),e3) )
& ( op(e2,e1) = op(op(e2,e1),e2)
| op(e0,e1) = op(op(e0,e1),e0)
| op(e1,e1) = op(op(e1,e1),e1)
| op(e3,e1) = op(op(e3,e1),e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f938,plain,
( ~ spl15_2
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f181,f368,f316]) ).
fof(f181,plain,
( ~ sP14
| e3 != op(e2,e3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 = op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f937,plain,
( spl15_72
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f178,f368,f642]) ).
fof(f178,plain,
( ~ sP14
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f936,plain,
( spl15_94
| spl15_48
| spl15_66
| spl15_7 ),
inference(avatar_split_clause,[],[f308,f338,f613,f522,f751]) ).
fof(f308,plain,
( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f935,plain,
( spl15_40
| spl15_46
| spl15_89
| spl15_55 ),
inference(avatar_split_clause,[],[f302,f554,f725,f514,f485]) ).
fof(f302,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f934,plain,
( spl15_54
| spl15_4
| spl15_49
| spl15_48 ),
inference(avatar_split_clause,[],[f94,f522,f527,f324,f549]) ).
fof(f94,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e2,e0) )
& ( e0 = op(e2,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e1,e0) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e2)
| op(e0,e0) = e2
| e2 = op(e0,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| e1 = op(e1,e0) )
& ( e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e3)
| op(e0,e0) = e1 )
& ( e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) )
& ( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2) )
& ( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e3) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1) )
& ( e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e2) )
& ( e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3 )
& ( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e3) )
& ( e3 = op(e2,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e2) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3) )
& ( e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e1,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f933,plain,
( spl15_3
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f221,f378,f320]) ).
fof(f221,plain,
( ~ sP7
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e3 != op(e2,e2)
& e2 != op(e3,e2)
& e2 = op(e2,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0)
& e1 != op(e3,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f932,plain,
( spl15_9
| spl15_78
| spl15_26
| spl15_98 ),
inference(avatar_split_clause,[],[f112,f771,f423,f668,f347]) ).
fof(f112,plain,
( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f931,plain,
( spl15_88
| spl15_79
| spl15_3
| spl15_28 ),
inference(avatar_split_clause,[],[f93,f433,f320,f672,f719]) ).
fof(f93,plain,
( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f930,plain,
( ~ spl15_24
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f248,f441,f414]) ).
fof(f248,plain,
( e2 != op(e1,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f929,plain,
( ~ spl15_25
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f198,f333,f419]) ).
fof(f198,plain,
( e0 != op(e0,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e0 != op(e3,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e3 = op(e3,e0)
& e3 != op(e0,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f928,plain,
( ~ spl15_36
| spl15_10 ),
inference(avatar_split_clause,[],[f184,f351,f468]) ).
fof(f184,plain,
( e1 = op(e1,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e0 != op(e2,e0)
& e3 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f927,plain,
( spl15_100
| spl15_46
| spl15_107
| spl15_67 ),
inference(avatar_split_clause,[],[f103,f618,f822,f514,f789]) ).
fof(f103,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f926,plain,
( spl15_17
| spl15_11
| spl15_13
| spl15_49 ),
inference(avatar_split_clause,[],[f304,f527,f364,f355,f382]) ).
fof(f304,plain,
( e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f925,plain,
( ~ spl15_102
| ~ spl15_98
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f123,f895,f771,f799]) ).
fof(f123,plain,
( e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( op(e0,e0) = e1
& e2 = op(e0,op(e0,e0))
& e3 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f924,plain,
( ~ spl15_20
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f247,f593,f396]) ).
fof(f247,plain,
( e2 != op(e3,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e2 != op(e3,e2)
& op(e0,e0) != e3
& e0 != op(e3,e0)
& e0 = op(e0,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f923,plain,
( ~ spl15_6
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f212,f476,f333]) ).
fof(f212,plain,
( ~ sP8
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f922,plain,
( ~ spl15_100
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f245,f396,f789]) ).
fof(f245,plain,
( ~ sP3
| e0 != op(e3,e0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f921,plain,
( ~ spl15_40
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f218,f378,f485]) ).
fof(f218,plain,
( ~ sP7
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f920,plain,
( ~ spl15_13
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f187,f468,f364]) ).
fof(f187,plain,
( ~ sP13
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f919,plain,
( ~ spl15_33
| ~ spl15_58
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f278,f832,f573,f454]) ).
fof(f278,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f918,plain,
( spl15_111
| spl15_97
| spl15_22
| spl15_92 ),
inference(avatar_split_clause,[],[f105,f739,f405,f767,f878]) ).
fof(f105,plain,
( e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f917,plain,
( spl15_30
| spl15_62
| spl15_60
| spl15_13 ),
inference(avatar_split_clause,[],[f110,f364,f583,f593,f441]) ).
fof(f110,plain,
( e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f916,plain,
( ~ spl15_96
| ~ spl15_109
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f287,f437,f836,f761]) ).
fof(f287,plain,
( e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f915,plain,
( ~ spl15_114
| ~ spl15_17
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f174,f910,f382,f903]) ).
fof(f174,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f914,plain,
( ~ spl15_15
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f230,f549,f373]) ).
fof(f230,plain,
( e0 != op(e2,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e3 != op(e2,e3)
& e0 != op(e2,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f913,plain,
( ~ spl15_115
| ~ spl15_51
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f286,f355,f535,f910]) ).
fof(f286,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f908,plain,
( spl15_60
| spl15_9
| spl15_111
| spl15_85 ),
inference(avatar_split_clause,[],[f303,f705,f878,f347,f583]) ).
fof(f303,plain,
( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f907,plain,
( ~ spl15_26
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f190,f428,f423]) ).
fof(f190,plain,
( ~ sP12
| e1 != op(e0,e1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e3 != op(e0,e3)
& e0 != op(e0,e0)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e1,e1)
& e1 = op(e1,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f906,plain,
( ~ spl15_56
| ~ spl15_114
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f88,f527,f903,f562]) ).
fof(f88,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2))
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f901,plain,
( spl15_54
| spl15_100
| spl15_6
| spl15_23 ),
inference(avatar_split_clause,[],[f119,f410,f333,f789,f549]) ).
fof(f119,plain,
( e0 = op(e1,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f900,plain,
( ~ spl15_29
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f185,f468,f437]) ).
fof(f185,plain,
( ~ sP13
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f899,plain,
( ~ spl15_36
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f182,f316,f468]) ).
fof(f182,plain,
( e3 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f71]) ).
fof(f898,plain,
( ~ spl15_97
| ~ spl15_113
| ~ spl15_43 ),
inference(avatar_split_clause,[],[f294,f498,f895,f767]) ).
fof(f294,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( op(e0,e0) != e3
| e1 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e2 = op(e0,op(e0,e0))
& op(e0,e0) = e3
& e1 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f893,plain,
( spl15_60
| spl15_45
| spl15_90
| spl15_79 ),
inference(avatar_split_clause,[],[f118,f672,f729,f506,f583]) ).
fof(f118,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f892,plain,
( ~ spl15_30
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f241,f480,f441]) ).
fof(f241,plain,
( ~ sP4
| e2 != op(e1,e2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 != op(e3,e3)
& e3 != op(e1,e3)
& e3 = op(e3,e1)
& e1 != op(e1,e1) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f891,plain,
( ~ spl15_97
| ~ spl15_99
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f285,f795,f784,f767]) ).
fof(f285,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,op(e0,op(e0,e0)))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e2 = op(e0,op(e0,op(e0,e0)))
& op(e0,e0) = e3
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f890,plain,
( ~ spl15_35
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f265,f450,f463]) ).
fof(f265,plain,
( e1 != op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e1 != op(e1,e1)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e0 != op(e1,e0)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f889,plain,
( spl15_7
| spl15_26
| spl15_32
| spl15_40 ),
inference(avatar_split_clause,[],[f107,f485,f450,f423,f338]) ).
fof(f107,plain,
( e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f888,plain,
( ~ spl15_13
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f204,f342,f364]) ).
fof(f204,plain,
( ~ sP10
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e0)
& e1 != op(e2,e1)
& e3 != op(e2,e3)
& e2 != op(e2,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f887,plain,
( ~ spl15_88
| ~ spl15_112
| ~ spl15_86 ),
inference(avatar_split_clause,[],[f125,f710,f884,f719]) ).
fof(f125,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f881,plain,
( spl15_72
| spl15_111
| spl15_17
| spl15_64 ),
inference(avatar_split_clause,[],[f89,f604,f382,f878,f642]) ).
fof(f89,plain,
( e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f876,plain,
( spl15_17
| spl15_81
| spl15_94
| spl15_2 ),
inference(avatar_split_clause,[],[f113,f316,f751,f683,f382]) ).
fof(f113,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f875,plain,
( spl15_63
| spl15_78
| spl15_41
| spl15_1 ),
inference(avatar_split_clause,[],[f92,f312,f489,f668,f598]) ).
fof(f92,plain,
( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f873,plain,
( ~ spl15_16
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f219,f789,f378]) ).
fof(f219,plain,
( e0 != op(e3,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f77]) ).
fof(f872,plain,
( ~ spl15_5
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f208,f583,f329]) ).
fof(f208,plain,
( e2 != op(e0,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e2 = op(e2,e0)
& e1 != op(e0,e1)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f871,plain,
( ~ spl15_14
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f179,f338,f368]) ).
fof(f179,plain,
( e1 != op(e2,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f70]) ).
fof(f870,plain,
( spl15_110
| spl15_65
| spl15_23
| spl15_31 ),
inference(avatar_split_clause,[],[f297,f445,f410,f608,f850]) ).
fof(f297,plain,
( e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f869,plain,
( ~ spl15_15
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f235,f364,f373]) ).
fof(f235,plain,
( e2 != op(e2,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f79]) ).
fof(f865,plain,
( spl15_19
| spl15_88
| spl15_67
| spl15_41 ),
inference(avatar_split_clause,[],[f299,f489,f618,f719,f391]) ).
fof(f299,plain,
( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f864,plain,
( spl15_110
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f188,f428,f850]) ).
fof(f188,plain,
( ~ sP12
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f863,plain,
( spl15_42
| spl15_61
| spl15_98
| spl15_110 ),
inference(avatar_split_clause,[],[f117,f850,f771,f588,f493]) ).
fof(f117,plain,
( e1 = op(e1,e0)
| op(e0,e0) = e1
| e1 = op(e2,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f862,plain,
( ~ spl15_34
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f189,f428,f458]) ).
fof(f189,plain,
( ~ sP12
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f861,plain,
( spl15_81
| spl15_65
| spl15_97
| spl15_73 ),
inference(avatar_split_clause,[],[f101,f646,f767,f608,f683]) ).
fof(f101,plain,
( e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f860,plain,
( ~ spl15_24
| spl15_47 ),
inference(avatar_split_clause,[],[f252,f518,f414]) ).
fof(f252,plain,
( e0 = op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f859,plain,
( spl15_107
| spl15_72
| spl15_62
| spl15_12 ),
inference(avatar_split_clause,[],[f300,f359,f593,f642,f822]) ).
fof(f300,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f858,plain,
( ~ spl15_37
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f256,f391,f472]) ).
fof(f256,plain,
( e3 != op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e3 != op(e1,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e2)
& e3 != op(e3,e3)
& e1 = op(e1,e3)
& e0 != op(e3,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f857,plain,
( ~ spl15_8
| spl15_13 ),
inference(avatar_split_clause,[],[f205,f364,f342]) ).
fof(f205,plain,
( e2 = op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f74]) ).
fof(f856,plain,
( ~ spl15_27
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f192,f333,f428]) ).
fof(f192,plain,
( e0 != op(e0,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f855,plain,
( ~ spl15_40
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f258,f472,f485]) ).
fof(f258,plain,
( ~ sP1
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f854,plain,
( spl15_88
| spl15_62
| spl15_91
| spl15_89 ),
inference(avatar_split_clause,[],[f98,f725,f734,f593,f719]) ).
fof(f98,plain,
( e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f853,plain,
( spl15_63
| spl15_110
| spl15_32
| spl15_10 ),
inference(avatar_split_clause,[],[f91,f351,f450,f850,f598]) ).
fof(f91,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f846,plain,
( spl15_80
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f244,f396,f676]) ).
fof(f244,plain,
( ~ sP3
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f845,plain,
( ~ spl15_19
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f220,f378,f391]) ).
fof(f220,plain,
( ~ sP7
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f77]) ).
fof(f843,plain,
( ~ spl15_54
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f183,f468,f549]) ).
fof(f183,plain,
( ~ sP13
| e0 != op(e2,e0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f842,plain,
( ~ spl15_22
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f194,f419,f405]) ).
fof(f194,plain,
( ~ sP11
| e3 != op(e0,e3) ),
inference(cnf_transformation,[],[f73]) ).
fof(f841,plain,
( ~ spl15_100
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f254,f472,f789]) ).
fof(f254,plain,
( ~ sP1
| e0 != op(e3,e0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f840,plain,
( ~ spl15_18
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f229,f593,f387]) ).
fof(f229,plain,
( e2 != op(e3,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e1)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f839,plain,
( ~ spl15_108
| ~ spl15_34
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f292,f836,f458,f832]) ).
fof(f292,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f830,plain,
( ~ spl15_23
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f240,f480,f410]) ).
fof(f240,plain,
( ~ sP4
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f829,plain,
( ~ spl15_41
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f239,f480,f489]) ).
fof(f239,plain,
( ~ sP4
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f80]) ).
fof(f828,plain,
( ~ spl15_37
| spl15_63 ),
inference(avatar_split_clause,[],[f255,f598,f472]) ).
fof(f255,plain,
( e1 = op(e1,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f827,plain,
( ~ spl15_39
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f238,f401,f480]) ).
fof(f238,plain,
( e3 != op(e1,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f826,plain,
( ~ spl15_5
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f210,f423,f329]) ).
fof(f210,plain,
( e1 != op(e0,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f825,plain,
( spl15_85
| spl15_49
| spl15_53
| spl15_107 ),
inference(avatar_split_clause,[],[f106,f822,f544,f527,f705]) ).
fof(f106,plain,
( e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f820,plain,
( ~ spl15_57
| ~ spl15_50
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f290,f382,f531,f566]) ).
fof(f290,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f819,plain,
( spl15_103
| spl15_104
| spl15_105
| spl15_106 ),
inference(avatar_split_clause,[],[f267,f816,f812,f808,f804]) ).
fof(f267,plain,
( op(e3,e2) = op(op(e3,e2),e3)
| op(e2,e2) = op(op(e2,e2),e2)
| op(e0,e2) = op(op(e0,e2),e0)
| op(e1,e2) = op(op(e1,e2),e1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f802,plain,
( ~ spl15_45
| ~ spl15_101
| ~ spl15_102 ),
inference(avatar_split_clause,[],[f121,f799,f795,f506]) ).
fof(f121,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( op(e0,e0) != e2
| e1 != op(e0,op(e0,e0))
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,op(e0,op(e0,e0)))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f793,plain,
( ~ spl15_60
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f197,f419,f583]) ).
fof(f197,plain,
( ~ sP11
| e2 != op(e0,e2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f792,plain,
( spl15_100
| spl15_91
| spl15_42
| spl15_73 ),
inference(avatar_split_clause,[],[f301,f646,f493,f734,f789]) ).
fof(f301,plain,
( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f787,plain,
( ~ spl15_44
| ~ spl15_99
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f87,f771,f784,f502]) ).
fof(f87,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( op(e0,e0) = e1
& e2 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f782,plain,
( ~ spl15_20
| ~ spl15_97 ),
inference(avatar_split_clause,[],[f246,f767,f396]) ).
fof(f246,plain,
( op(e0,e0) != e3
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f781,plain,
( ~ spl15_36
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f186,f338,f468]) ).
fof(f186,plain,
( e1 != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f71]) ).
fof(f780,plain,
( ~ spl15_34
| ~ spl15_95
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f288,f577,f757,f458]) ).
fof(f288,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f779,plain,
( ~ spl15_5
| spl15_82 ),
inference(avatar_split_clause,[],[f211,f687,f329]) ).
fof(f211,plain,
( e2 = op(e2,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f778,plain,
( ~ spl15_83
| ~ spl15_93
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f289,f719,f746,f696]) ).
fof(f289,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f777,plain,
( ~ spl15_60
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f191,f428,f583]) ).
fof(f191,plain,
( ~ sP12
| e2 != op(e0,e2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f776,plain,
( ~ spl15_49
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f207,f329,f527]) ).
fof(f207,plain,
( ~ sP9
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f775,plain,
( ~ spl15_18
| spl15_19 ),
inference(avatar_split_clause,[],[f226,f391,f387]) ).
fof(f226,plain,
( e3 = op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f78]) ).
fof(f774,plain,
( spl15_97
| spl15_45
| spl15_6
| spl15_98 ),
inference(avatar_split_clause,[],[f295,f771,f333,f506,f767]) ).
fof(f295,plain,
( op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f1]) ).
fof(f764,plain,
( ~ spl15_95
| ~ spl15_33
| ~ spl15_96 ),
inference(avatar_split_clause,[],[f293,f761,f454,f757]) ).
fof(f293,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f755,plain,
( spl15_66
| spl15_13
| spl15_82
| spl15_3 ),
inference(avatar_split_clause,[],[f108,f320,f687,f364,f613]) ).
fof(f108,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e0)
| e2 = op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f754,plain,
( spl15_94
| spl15_92
| spl15_55
| spl15_33 ),
inference(avatar_split_clause,[],[f97,f454,f554,f739,f751]) ).
fof(f97,plain,
( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f749,plain,
( ~ spl15_67
| ~ spl15_87
| ~ spl15_93 ),
inference(avatar_split_clause,[],[f122,f746,f714,f618]) ).
fof(f122,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e1 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f744,plain,
( ~ spl15_62
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f257,f472,f593]) ).
fof(f257,plain,
( ~ sP1
| e2 != op(e3,e2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f742,plain,
( spl15_90
| spl15_26
| spl15_92
| spl15_47 ),
inference(avatar_split_clause,[],[f310,f518,f739,f423,f729]) ).
fof(f310,plain,
( e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f737,plain,
( spl15_45
| spl15_82
| spl15_91
| spl15_31 ),
inference(avatar_split_clause,[],[f120,f445,f734,f687,f506]) ).
fof(f120,plain,
( e2 = op(e1,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f732,plain,
( spl15_29
| spl15_89
| spl15_66
| spl15_90 ),
inference(avatar_split_clause,[],[f116,f729,f613,f725,f437]) ).
fof(f116,plain,
( e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f723,plain,
( spl15_20
| ~ spl15_21
| spl15_27
| spl15_16
| spl15_35
| spl15_38
| spl15_14
| spl15_36
| spl15_24
| spl15_37
| spl15_39
| spl15_8
| spl15_18
| spl15_25
| spl15_5
| spl15_15 ),
inference(avatar_split_clause,[],[f271,f373,f329,f419,f387,f342,f480,f472,f414,f468,f368,f476,f463,f378,f428,f401,f396]) ).
fof(f271,plain,
( sP5
| sP9
| sP11
| sP6
| sP10
| sP4
| sP1
| sP2
| sP13
| sP14
| sP8
| sP0
| sP7
| sP12
| e3 != op(e1,e3)
| sP3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f722,plain,
( ~ spl15_88
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f177,f368,f719]) ).
fof(f177,plain,
( ~ sP14
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f717,plain,
( ~ spl15_86
| ~ spl15_87
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f276,f489,f714,f710]) ).
fof(f276,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f708,plain,
( ~ spl15_15
| spl15_85 ),
inference(avatar_split_clause,[],[f233,f705,f373]) ).
fof(f233,plain,
( e0 = op(e0,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f79]) ).
fof(f703,plain,
( ~ spl15_41
| ~ spl15_83
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f291,f700,f696,f489]) ).
fof(f291,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f694,plain,
( spl15_64
| spl15_53
| spl15_10
| spl15_30 ),
inference(avatar_split_clause,[],[f305,f441,f351,f544,f604]) ).
fof(f305,plain,
( e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f692,plain,
( ~ spl15_25
| spl15_73 ),
inference(avatar_split_clause,[],[f195,f646,f419]) ).
fof(f195,plain,
( e3 = op(e3,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f73]) ).
fof(f691,plain,
( ~ spl15_32
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f253,f414,f450]) ).
fof(f253,plain,
( ~ sP2
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f690,plain,
( spl15_61
| spl15_54
| spl15_81
| spl15_82 ),
inference(avatar_split_clause,[],[f298,f687,f683,f549,f588]) ).
fof(f298,plain,
( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f681,plain,
( spl15_4
| spl15_52
| spl15_67
| spl15_80 ),
inference(avatar_split_clause,[],[f95,f676,f618,f540,f324]) ).
fof(f95,plain,
( e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f680,plain,
( ~ spl15_40
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f242,f396,f485]) ).
fof(f242,plain,
( ~ sP3
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f679,plain,
( spl15_78
| spl15_79
| spl15_22
| spl15_80 ),
inference(avatar_split_clause,[],[f306,f676,f405,f672,f668]) ).
fof(f306,plain,
( e0 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f666,plain,
( spl15_74
| spl15_75
| spl15_76
| spl15_77 ),
inference(avatar_split_clause,[],[f268,f663,f659,f655,f651]) ).
fof(f268,plain,
( op(e1,e0) = op(op(e1,e0),e1)
| op(e3,e0) = op(op(e3,e0),e3)
| op(e2,e0) = op(op(e2,e0),e2)
| op(e0,e0) = op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f649,plain,
( spl15_55
| spl15_19
| spl15_72
| spl15_73 ),
inference(avatar_split_clause,[],[f102,f646,f642,f391,f554]) ).
fof(f102,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f623,plain,
( ~ spl15_54
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f180,f368,f549]) ).
fof(f180,plain,
( ~ sP14
| e0 != op(e2,e0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f621,plain,
( ~ spl15_25
| ~ spl15_67 ),
inference(avatar_split_clause,[],[f199,f618,f419]) ).
fof(f199,plain,
( e0 != op(e3,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f73]) ).
fof(f616,plain,
( spl15_14
| spl15_25
| spl15_37
| spl15_24
| spl15_20
| spl15_36
| spl15_16
| spl15_18
| spl15_27
| spl15_35
| spl15_15
| spl15_39
| spl15_8
| spl15_38
| spl15_5
| spl15_66 ),
inference(avatar_split_clause,[],[f272,f613,f329,f476,f342,f480,f373,f463,f428,f387,f378,f468,f396,f414,f472,f419,f368]) ).
fof(f272,plain,
( e2 = op(e2,e1)
| sP9
| sP8
| sP10
| sP4
| sP5
| sP0
| sP12
| sP6
| sP7
| sP13
| sP3
| sP2
| sP1
| sP11
| sP14 ),
inference(cnf_transformation,[],[f69]) ).
fof(f611,plain,
( spl15_64
| spl15_65
| spl15_21
| spl15_33 ),
inference(avatar_split_clause,[],[f99,f454,f401,f608,f604]) ).
fof(f99,plain,
( e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f602,plain,
( ~ spl15_37
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f259,f454,f472]) ).
fof(f259,plain,
( e3 != op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f601,plain,
( spl15_28
| spl15_63
| spl15_21
| spl15_52 ),
inference(avatar_split_clause,[],[f309,f540,f401,f598,f433]) ).
fof(f309,plain,
( e0 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f596,plain,
( ~ spl15_62
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f222,f378,f593]) ).
fof(f222,plain,
( ~ sP7
| e2 != op(e3,e2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f591,plain,
( spl15_11
| spl15_61
| spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f109,f338,f312,f588,f355]) ).
fof(f109,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f581,plain,
( spl15_6
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f214,f476,f333]) ).
fof(f214,plain,
( ~ sP8
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f580,plain,
( ~ spl15_58
| ~ spl15_29
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f277,f577,f437,f573]) ).
fof(f277,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f571,plain,
( ~ spl15_45
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f232,f373,f506]) ).
fof(f232,plain,
( ~ sP5
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f570,plain,
( spl15_14
| spl15_36
| spl15_27
| spl15_38
| ~ spl15_30
| spl15_24
| spl15_15
| spl15_37
| spl15_5
| spl15_8
| spl15_20
| spl15_16
| spl15_18
| spl15_35
| spl15_39
| spl15_25 ),
inference(avatar_split_clause,[],[f270,f419,f480,f463,f387,f378,f396,f342,f329,f472,f373,f414,f441,f476,f428,f468,f368]) ).
fof(f270,plain,
( sP11
| sP4
| sP0
| sP6
| sP7
| sP3
| sP10
| sP9
| sP1
| sP5
| sP2
| e2 != op(e1,e2)
| sP8
| sP12
| sP13
| sP14 ),
inference(cnf_transformation,[],[f69]) ).
fof(f569,plain,
( ~ spl15_11
| ~ spl15_56
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f85,f566,f562,f355]) ).
fof(f85,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f560,plain,
( spl15_8
| spl15_38
| spl15_25
| spl15_35
| spl15_27
| spl15_15
| spl15_5
| spl15_39
| spl15_37
| spl15_14
| spl15_36
| ~ spl15_32
| spl15_24
| spl15_18
| spl15_16
| spl15_20 ),
inference(avatar_split_clause,[],[f274,f396,f378,f387,f414,f450,f468,f368,f472,f480,f329,f373,f428,f463,f419,f476,f342]) ).
fof(f274,plain,
( sP3
| sP7
| sP6
| sP2
| e1 != op(e1,e1)
| sP13
| sP14
| sP1
| sP4
| sP9
| sP5
| sP12
| sP0
| sP11
| sP8
| sP10 ),
inference(cnf_transformation,[],[f69]) ).
fof(f559,plain,
( ~ spl15_32
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f236,f480,f450]) ).
fof(f236,plain,
( ~ sP4
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f558,plain,
( ~ spl15_22
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f209,f329,f405]) ).
fof(f209,plain,
( ~ sP9
| e3 != op(e0,e3) ),
inference(cnf_transformation,[],[f75]) ).
fof(f557,plain,
( ~ spl15_39
| spl15_55 ),
inference(avatar_split_clause,[],[f237,f554,f480]) ).
fof(f237,plain,
( e3 = op(e3,e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f547,plain,
( spl15_52
| spl15_23
| spl15_34
| spl15_53 ),
inference(avatar_split_clause,[],[f100,f544,f458,f410,f540]) ).
fof(f100,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f538,plain,
( ~ spl15_49
| ~ spl15_50
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f175,f535,f531,f527]) ).
fof(f175,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f525,plain,
( spl15_46
| spl15_47
| spl15_48
| spl15_34 ),
inference(avatar_split_clause,[],[f90,f458,f522,f518,f514]) ).
fof(f90,plain,
( e0 = op(e1,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f512,plain,
( ~ spl15_2
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f231,f373,f316]) ).
fof(f231,plain,
( ~ sP5
| e3 != op(e2,e3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f511,plain,
( ~ spl15_21
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f251,f414,f401]) ).
fof(f251,plain,
( ~ sP2
| e3 != op(e1,e3) ),
inference(cnf_transformation,[],[f82]) ).
fof(f510,plain,
( ~ spl15_18
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f227,f391,f387]) ).
fof(f227,plain,
( e3 != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f78]) ).
fof(f509,plain,
( ~ spl15_43
| ~ spl15_44
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f86,f506,f502,f498]) ).
fof(f86,plain,
( op(e0,e0) != e2
| e3 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,op(e0,e0)))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f496,plain,
( spl15_40
| spl15_41
| spl15_42
| spl15_12 ),
inference(avatar_split_clause,[],[f96,f359,f493,f489,f485]) ).
fof(f96,plain,
( e1 = op(e3,e2)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f483,plain,
( spl15_5
| spl15_36
| spl15_20
| spl15_35
| spl15_25
| spl15_14
| spl15_16
| spl15_8
| spl15_18
| spl15_37
| spl15_38
| spl15_24
| spl15_27
| ~ spl15_11
| spl15_39
| spl15_15 ),
inference(avatar_split_clause,[],[f273,f373,f480,f355,f428,f414,f476,f472,f387,f342,f378,f368,f419,f463,f396,f468,f329]) ).
fof(f273,plain,
( sP5
| sP4
| e1 != op(e2,e2)
| sP12
| sP2
| sP8
| sP1
| sP6
| sP10
| sP7
| sP14
| sP11
| sP0
| sP3
| sP13
| sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f466,plain,
( ~ spl15_35
| spl15_32 ),
inference(avatar_split_clause,[],[f261,f450,f463]) ).
fof(f261,plain,
( e1 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f461,plain,
( spl15_29
| spl15_32
| spl15_33
| spl15_34 ),
inference(avatar_split_clause,[],[f307,f458,f454,f450,f437]) ).
fof(f307,plain,
( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f448,plain,
( spl15_28
| spl15_29
| spl15_30
| spl15_31 ),
inference(avatar_split_clause,[],[f104,f445,f441,f437,f433]) ).
fof(f104,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f431,plain,
( ~ spl15_27
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f193,f405,f428]) ).
fof(f193,plain,
( e3 != op(e0,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f426,plain,
( ~ spl15_25
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f196,f423,f419]) ).
fof(f196,plain,
( e1 != op(e0,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f73]) ).
fof(f417,plain,
( ~ spl15_23
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f250,f414,f410]) ).
fof(f250,plain,
( ~ sP2
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f408,plain,
( spl15_2
| spl15_21
| spl15_22
| spl15_19 ),
inference(avatar_split_clause,[],[f111,f391,f405,f401,f316]) ).
fof(f111,plain,
( e3 = op(e3,e3)
| e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f399,plain,
( ~ spl15_19
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f243,f396,f391]) ).
fof(f243,plain,
( ~ sP3
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f385,plain,
( ~ spl15_16
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f223,f382,f378]) ).
fof(f223,plain,
( e3 != op(e2,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f77]) ).
fof(f376,plain,
( ~ spl15_7
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f234,f373,f338]) ).
fof(f234,plain,
( ~ sP5
| e1 != op(e2,e1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f371,plain,
( ~ spl15_13
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f176,f368,f364]) ).
fof(f176,plain,
( ~ sP14
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f362,plain,
( spl15_9
| spl15_10
| spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f115,f359,f355,f351,f347]) ).
fof(f115,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
( ~ spl15_5
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f206,f333,f329]) ).
fof(f206,plain,
( e0 != op(e0,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f327,plain,
( spl15_1
| spl15_2
| spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f296,f324,f320,f316,f312]) ).
fof(f296,plain,
( e0 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG147+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 14:52:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (2127)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 % (2119)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.57 % (2106)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 % (2116)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.57 % (2115)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 % (2106)Instruction limit reached!
% 0.21/0.58 % (2106)------------------------------
% 0.21/0.58 % (2106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (2106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (2106)Termination reason: Unknown
% 0.21/0.58 % (2106)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (2106)Memory used [KB]: 5628
% 0.21/0.58 % (2106)Time elapsed: 0.012 s
% 0.21/0.58 % (2106)Instructions burned: 7 (million)
% 0.21/0.58 % (2106)------------------------------
% 0.21/0.58 % (2106)------------------------------
% 0.21/0.59 % (2099)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59 % (2101)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (2098)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.60 % (2114)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60 % (2120)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)
% 0.21/0.60 % (2102)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 % (2104)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.60 % (2105)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61 % (2126)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)
% 0.21/0.61 % (2129)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.62 % (2131)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.62 % (2100)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)
% 1.95/0.62 % (2130)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)
% 1.95/0.62 % (2132)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.95/0.62 % (2121)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.95/0.63 % (2122)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.95/0.63 % (2123)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)
% 1.95/0.63 % (2124)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)
% 1.95/0.63 % (2133)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)
% 1.95/0.63 % (2117)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.95/0.64 % (2107)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.95/0.64 % (2108)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)
% 1.95/0.64 % (2125)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.95/0.64 % (2118)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)
% 2.20/0.65 % (2128)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.25/0.66 % (2119)Instruction limit reached!
% 2.25/0.66 % (2119)------------------------------
% 2.25/0.66 % (2119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66 % (2107)Instruction limit reached!
% 2.25/0.66 % (2107)------------------------------
% 2.25/0.66 % (2107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66 % (2107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66 % (2107)Termination reason: Unknown
% 2.25/0.66 % (2107)Termination phase: Preprocessing 2
% 2.25/0.66
% 2.25/0.66 % (2107)Memory used [KB]: 895
% 2.25/0.66 % (2107)Time elapsed: 0.003 s
% 2.25/0.66 % (2107)Instructions burned: 2 (million)
% 2.25/0.66 % (2107)------------------------------
% 2.25/0.66 % (2107)------------------------------
% 2.25/0.66 % (2119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66 % (2119)Termination reason: Unknown
% 2.25/0.66 % (2119)Termination phase: Saturation
% 2.25/0.66
% 2.25/0.66 % (2119)Memory used [KB]: 1535
% 2.25/0.66 % (2119)Time elapsed: 0.184 s
% 2.25/0.66 % (2119)Instructions burned: 75 (million)
% 2.25/0.66 % (2119)------------------------------
% 2.25/0.66 % (2119)------------------------------
% 2.25/0.66 TRYING [4]
% 2.25/0.67 % (2101)Instruction limit reached!
% 2.25/0.67 % (2101)------------------------------
% 2.25/0.67 % (2101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67 % (2101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67 % (2101)Termination reason: Unknown
% 2.25/0.67 % (2101)Termination phase: Saturation
% 2.25/0.67
% 2.25/0.67 % (2101)Memory used [KB]: 6652
% 2.25/0.67 % (2101)Time elapsed: 0.242 s
% 2.25/0.67 % (2101)Instructions burned: 52 (million)
% 2.25/0.67 % (2101)------------------------------
% 2.25/0.67 % (2101)------------------------------
% 2.25/0.68 TRYING [4]
% 2.25/0.69 TRYING [4]
% 2.25/0.70 % (2100)Instruction limit reached!
% 2.25/0.70 % (2100)------------------------------
% 2.25/0.70 % (2100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70 % (2100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.70 % (2100)Termination reason: Unknown
% 2.25/0.70 % (2100)Termination phase: Saturation
% 2.25/0.70
% 2.25/0.70 % (2100)Memory used [KB]: 1279
% 2.25/0.70 % (2100)Time elapsed: 0.282 s
% 2.25/0.70 % (2100)Instructions burned: 37 (million)
% 2.25/0.70 % (2100)------------------------------
% 2.25/0.70 % (2100)------------------------------
% 2.59/0.71 % (2114)Instruction limit reached!
% 2.59/0.71 % (2114)------------------------------
% 2.59/0.71 % (2114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.71 % (2114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.71 % (2114)Termination reason: Unknown
% 2.59/0.71 % (2114)Termination phase: Saturation
% 2.59/0.71
% 2.59/0.71 % (2114)Memory used [KB]: 6652
% 2.59/0.71 % (2114)Time elapsed: 0.040 s
% 2.59/0.71 % (2114)Instructions burned: 50 (million)
% 2.59/0.71 % (2114)------------------------------
% 2.59/0.71 % (2114)------------------------------
% 2.59/0.71 % (2104)Instruction limit reached!
% 2.59/0.71 % (2104)------------------------------
% 2.59/0.71 % (2104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.71 % (2104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.71 % (2104)Termination reason: Unknown
% 2.59/0.71 % (2104)Termination phase: Saturation
% 2.59/0.71
% 2.59/0.71 % (2104)Memory used [KB]: 6140
% 2.59/0.71 % (2104)Time elapsed: 0.290 s
% 2.59/0.71 % (2104)Instructions burned: 49 (million)
% 2.59/0.71 % (2104)------------------------------
% 2.59/0.71 % (2104)------------------------------
% 2.59/0.72 % (2105)Instruction limit reached!
% 2.59/0.72 % (2105)------------------------------
% 2.59/0.72 % (2105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.72 % (2105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.72 % (2105)Termination reason: Unknown
% 2.59/0.72 % (2105)Termination phase: Finite model building SAT solving
% 2.59/0.72
% 2.59/0.72 % (2105)Memory used [KB]: 7675
% 2.59/0.72 % (2105)Time elapsed: 0.254 s
% 2.59/0.72 % (2105)Instructions burned: 52 (million)
% 2.59/0.72 % (2105)------------------------------
% 2.59/0.72 % (2105)------------------------------
% 2.59/0.72 % (2099)Instruction limit reached!
% 2.59/0.72 % (2099)------------------------------
% 2.59/0.72 % (2099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.72 % (2099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.72 % (2099)Termination reason: Unknown
% 2.59/0.72 % (2099)Termination phase: Saturation
% 2.59/0.72
% 2.59/0.72 % (2099)Memory used [KB]: 6268
% 2.59/0.72 % (2099)Time elapsed: 0.039 s
% 2.59/0.72 % (2099)Instructions burned: 50 (million)
% 2.59/0.72 % (2099)------------------------------
% 2.59/0.72 % (2099)------------------------------
% 2.59/0.73 % (2127)First to succeed.
% 2.59/0.73 % (2102)Instruction limit reached!
% 2.59/0.73 % (2102)------------------------------
% 2.59/0.73 % (2102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (2102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (2102)Termination reason: Unknown
% 2.59/0.73 % (2102)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (2102)Memory used [KB]: 6268
% 2.59/0.73 % (2102)Time elapsed: 0.040 s
% 2.59/0.73 % (2102)Instructions burned: 52 (million)
% 2.59/0.73 % (2102)------------------------------
% 2.59/0.73 % (2102)------------------------------
% 3.04/0.76 % (2121)Instruction limit reached!
% 3.04/0.76 % (2121)------------------------------
% 3.04/0.76 % (2121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.76 % (2121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.76 % (2121)Termination reason: Unknown
% 3.04/0.76 % (2121)Termination phase: Finite model building SAT solving
% 3.04/0.76
% 3.04/0.76 % (2121)Memory used [KB]: 7803
% 3.04/0.76 % (2121)Time elapsed: 0.276 s
% 3.04/0.76 % (2121)Instructions burned: 59 (million)
% 3.04/0.76 % (2121)------------------------------
% 3.04/0.76 % (2121)------------------------------
% 3.04/0.76 % (2115)Instruction limit reached!
% 3.04/0.76 % (2115)------------------------------
% 3.04/0.76 % (2115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.76 % (2115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.76 % (2115)Termination reason: Unknown
% 3.04/0.76 % (2115)Termination phase: Saturation
% 3.04/0.76
% 3.04/0.76 % (2115)Memory used [KB]: 7419
% 3.04/0.76 % (2115)Time elapsed: 0.288 s
% 3.04/0.76 % (2115)Instructions burned: 100 (million)
% 3.04/0.76 % (2115)------------------------------
% 3.04/0.76 % (2115)------------------------------
% 3.04/0.77 % (2108)Instruction limit reached!
% 3.04/0.77 % (2108)------------------------------
% 3.04/0.77 % (2108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.77 % (2108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.77 % (2108)Termination reason: Unknown
% 3.04/0.77 % (2108)Termination phase: Saturation
% 3.04/0.77
% 3.04/0.77 % (2108)Memory used [KB]: 1407
% 3.04/0.77 % (2108)Time elapsed: 0.342 s
% 3.04/0.77 % (2108)Instructions burned: 52 (million)
% 3.04/0.77 % (2108)------------------------------
% 3.04/0.77 % (2108)------------------------------
% 3.04/0.78 % (2127)Refutation found. Thanks to Tanya!
% 3.04/0.78 % SZS status Unsatisfiable for theBenchmark
% 3.04/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.04/0.79 % (2127)------------------------------
% 3.04/0.79 % (2127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.79 % (2127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.79 % (2127)Termination reason: Refutation
% 3.04/0.79
% 3.04/0.79 % (2127)Memory used [KB]: 7291
% 3.04/0.79 % (2127)Time elapsed: 0.214 s
% 3.04/0.79 % (2127)Instructions burned: 124 (million)
% 3.04/0.79 % (2127)------------------------------
% 3.04/0.79 % (2127)------------------------------
% 3.04/0.79 % (2097)Success in time 0.419 s
%------------------------------------------------------------------------------