TSTP Solution File: ALG136+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG136+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Mon May 20 18:32:45 EDT 2024
% Result : Unsatisfiable 0.13s 0.50s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 143
% Syntax : Number of formulae : 1568 ( 117 unt; 0 def)
% Number of atoms : 6801 (3308 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 8595 (3362 ~;4927 |; 188 &)
% ( 118 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 120 ( 118 usr; 119 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9345,plain,
$false,
inference(avatar_sat_refutation,[],[f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f594,f603,f612,f621,f630,f639,f648,f657,f666,f675,f684,f693,f694,f710,f725,f738,f747,f756,f760,f780,f789,f795,f802,f805,f811,f818,f837,f853,f858,f867,f876,f884,f889,f893,f898,f926,f938,f940,f942,f948,f960,f972,f978,f979,f989,f1000,f1008,f1018,f1034,f1049,f1061,f1063,f1081,f1098,f1108,f1116,f1124,f1152,f1186,f1188,f1195,f1239,f1284,f1307,f1313,f1340,f1352,f1366,f1374,f1387,f1399,f1426,f1444,f1473,f1475,f1490,f1495,f1505,f1522,f1556,f1581,f1619,f1655,f1659,f1698,f1707,f1710,f1740,f1760,f1764,f1777,f1787,f1790,f1817,f1844,f1889,f1953,f1966,f1987,f1989,f2054,f2116,f2169,f2205,f2234,f2245,f2260,f2291,f2302,f2354,f2440,f2458,f2510,f2525,f2565,f2576,f2604,f2651,f2652,f2666,f2708,f2738,f2775,f2798,f2812,f2827,f2855,f2867,f2908,f2915,f2957,f3011,f3013,f3035,f3049,f3069,f3104,f3106,f3136,f3169,f3191,f3200,f3221,f3234,f3253,f3271,f3276,f3303,f3337,f3407,f3420,f3431,f3463,f3471,f3522,f3529,f3534,f3536,f3549,f3583,f3585,f3596,f3608,f3618,f3622,f3687,f3725,f3727,f3733,f3736,f3748,f3756,f3764,f3766,f3790,f3869,f3935,f3943,f3973,f3978,f3980,f3992,f3996,f4017,f4072,f4131,f4187,f4241,f4302,f4352,f4423,f4447,f4448,f4458,f4462,f4526,f4534,f4582,f4639,f4644,f4657,f4684,f4686,f4701,f4725,f4729,f4730,f4780,f4836,f4863,f4917,f4928,f4997,f5021,f5135,f5200,f5238,f5253,f5286,f5325,f5340,f5348,f5354,f5416,f5433,f5438,f5463,f5508,f5703,f5772,f5773,f5791,f5802,f5821,f5831,f5832,f5851,f5884,f5893,f5895,f5907,f5917,f5939,f5961,f6058,f6060,f6069,f6071,f6127,f6136,f6151,f6162,f6184,f6196,f6197,f6215,f6224,f6232,f6318,f6331,f6415,f6416,f6417,f6429,f6439,f6522,f6549,f6669,f6692,f6694,f6720,f6732,f6872,f6895,f6905,f6937,f6949,f6963,f7005,f7093,f7103,f7117,f7125,f7134,f7159,f7187,f7223,f7230,f7249,f7253,f7340,f7355,f7356,f7368,f7401,f7412,f7431,f7520,f7531,f7635,f7702,f7783,f7784,f7830,f7838,f7848,f7860,f7867,f7875,f7939,f7986,f8031,f8091,f8119,f8150,f8160,f8194,f8210,f8253,f8271,f8309,f8412,f8455,f8520,f8600,f8624,f8626,f8638,f8658,f8727,f8740,f8763,f8820,f8875,f8889,f8908,f8919,f8935,f8966,f8990,f8992,f9007,f9051,f9056,f9110,f9142,f9143,f9182,f9272,f9281,f9344]) ).
fof(f9344,plain,
( ~ spl0_101
| ~ spl0_78
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f9292,f782,f672,f855]) ).
fof(f855,plain,
( spl0_101
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f672,plain,
( spl0_78
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f782,plain,
( spl0_97
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f9292,plain,
( e0 != op(e3,e3)
| e2 != op(e3,e0)
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f9291]) ).
fof(f9291,plain,
( e1 != e1
| e0 != op(e3,e3)
| e2 != op(e3,e0)
| ~ spl0_97 ),
inference(forward_demodulation,[],[f273,f784]) ).
fof(f784,plain,
( e1 = op(e2,e0)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f273,plain,
( e1 != op(e2,e0)
| e0 != op(e3,e3)
| e2 != op(e3,e0) ),
inference(inner_rewriting,[],[f272]) ).
fof(f272,plain,
( e1 != op(op(e3,e0),e0)
| e0 != op(e3,e3)
| e2 != op(e3,e0) ),
inference(inner_rewriting,[],[f232]) ).
fof(f232,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f9281,plain,
( spl0_74
| spl0_96
| spl0_4
| spl0_1
| ~ spl0_93
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f4078,f1027,f749,f297,f312,f777,f654]) ).
fof(f654,plain,
( spl0_74
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f777,plain,
( spl0_96
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f312,plain,
( spl0_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f297,plain,
( spl0_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f749,plain,
( spl0_93
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1027,plain,
( spl0_109
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f4078,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl0_93
| ~ spl0_109 ),
inference(forward_demodulation,[],[f949,f1029]) ).
fof(f1029,plain,
( e0 = op(e1,e2)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f949,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_93 ),
inference(forward_demodulation,[],[f191,f751]) ).
fof(f751,plain,
( e2 = op(e0,e2)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f191,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f9272,plain,
( spl0_78
| spl0_1
| spl0_3
| ~ spl0_88
| ~ spl0_113
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f9201,f3745,f1058,f722,f307,f297,f672]) ).
fof(f307,plain,
( spl0_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f722,plain,
( spl0_88
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1058,plain,
( spl0_113
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f3745,plain,
( spl0_118
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f9201,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl0_88
| ~ spl0_113
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f9200]) ).
fof(f9200,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl0_88
| ~ spl0_113
| ~ spl0_118 ),
inference(forward_demodulation,[],[f8212,f3747]) ).
fof(f3747,plain,
( e3 = op(e2,e3)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3745]) ).
fof(f8212,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl0_88
| ~ spl0_113 ),
inference(forward_demodulation,[],[f1775,f1060]) ).
fof(f1060,plain,
( e3 = op(e1,e3)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1775,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl0_88 ),
inference(forward_demodulation,[],[f197,f724]) ).
fof(f724,plain,
( e1 = op(e0,e3)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f197,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9182,plain,
( spl0_68
| spl0_6
| spl0_2
| spl0_4
| ~ spl0_65
| ~ spl0_105
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f4999,f1031,f975,f614,f312,f302,f322,f627]) ).
fof(f627,plain,
( spl0_68
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f322,plain,
( spl0_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f302,plain,
( spl0_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f614,plain,
( spl0_65
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f975,plain,
( spl0_105
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1031,plain,
( spl0_110
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f4999,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl0_65
| ~ spl0_105
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4736,f615]) ).
fof(f615,plain,
( e1 = op(e1,e0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f4736,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl0_105
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4593,f1033]) ).
fof(f1033,plain,
( e0 = op(e1,e3)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f4593,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f184,f976]) ).
fof(f976,plain,
( e3 = op(e1,e2)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f184,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9143,plain,
( spl0_76
| spl0_3
| spl0_5
| spl0_6
| ~ spl0_73
| ~ spl0_97
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f3254,f1078,f782,f650,f322,f317,f307,f663]) ).
fof(f663,plain,
( spl0_76
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f317,plain,
( spl0_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f650,plain,
( spl0_73
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1078,plain,
( spl0_114
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f3254,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_73
| ~ spl0_97
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3112,f651]) ).
fof(f651,plain,
( e2 = op(e2,e1)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f3112,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_97
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1641,f784]) ).
fof(f1641,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f194,f1080]) ).
fof(f1080,plain,
( e0 = op(e2,e3)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f194,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9142,plain,
( ~ spl0_71
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f141,f618,f641]) ).
fof(f641,plain,
( spl0_71
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f618,plain,
( spl0_66
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f141,plain,
( e0 != op(e1,e1)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e3 != op(e3,e3) )
& ( e3 != op(e1,e1)
| e3 != op(e3,e3) )
& ( op(e0,e0) != e3
| e3 != op(e3,e3) )
& ( e2 != op(e3,e3)
| e3 != op(e3,e2) )
& ( e2 != op(e2,e2)
| e3 != op(e3,e2) )
& ( e2 != op(e1,e1)
| e3 != op(e3,e2) )
& ( op(e0,e0) != e2
| e3 != op(e3,e2) )
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e1 != op(e2,e2)
| e3 != op(e3,e1) )
& ( e1 != op(e1,e1)
| e3 != op(e3,e1) )
& ( op(e0,e0) != e1
| e3 != op(e3,e1) )
& ( e0 != op(e3,e3)
| e3 != op(e3,e0) )
& ( e0 != op(e2,e2)
| e3 != op(e3,e0) )
& ( e0 != op(e1,e1)
| e3 != op(e3,e0) )
& ( e0 != op(e0,e0)
| e3 != op(e3,e0) )
& ( e3 != op(e3,e3)
| e2 != op(e2,e3) )
& ( e3 != op(e2,e2)
| e2 != op(e2,e3) )
& ( e3 != op(e1,e1)
| e2 != op(e2,e3) )
& ( op(e0,e0) != e3
| e2 != op(e2,e3) )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| e2 != op(e2,e2) )
& ( op(e0,e0) != e2
| e2 != op(e2,e2) )
& ( e1 != op(e3,e3)
| e2 != op(e2,e1) )
& ( e1 != op(e2,e2)
| e2 != op(e2,e1) )
& ( e1 != op(e1,e1)
| e2 != op(e2,e1) )
& ( op(e0,e0) != e1
| e2 != op(e2,e1) )
& ( e0 != op(e3,e3)
| e2 != op(e2,e0) )
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& ( e0 != op(e1,e1)
| e2 != op(e2,e0) )
& ( e0 != op(e0,e0)
| e2 != op(e2,e0) )
& ( e3 != op(e3,e3)
| e1 != op(e1,e3) )
& ( e3 != op(e2,e2)
| e1 != op(e1,e3) )
& ( e3 != op(e1,e1)
| e1 != op(e1,e3) )
& ( op(e0,e0) != e3
| e1 != op(e1,e3) )
& ( e2 != op(e3,e3)
| e1 != op(e1,e2) )
& ( e2 != op(e2,e2)
| e1 != op(e1,e2) )
& ( e2 != op(e1,e1)
| e1 != op(e1,e2) )
& ( op(e0,e0) != e2
| e1 != op(e1,e2) )
& ( e1 != op(e3,e3)
| e1 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( op(e0,e0) != e1
| e1 != op(e1,e1) )
& ( e0 != op(e3,e3)
| e1 != op(e1,e0) )
& ( e0 != op(e2,e2)
| e1 != op(e1,e0) )
& ( e0 != op(e1,e1)
| e1 != op(e1,e0) )
& ( e0 != op(e0,e0)
| e1 != op(e1,e0) )
& ( e3 != op(e3,e3)
| e0 != op(e0,e3) )
& ( e3 != op(e2,e2)
| e0 != op(e0,e3) )
& ( e3 != op(e1,e1)
| e0 != op(e0,e3) )
& ( op(e0,e0) != e3
| e0 != op(e0,e3) )
& ( e2 != op(e3,e3)
| e0 != op(e0,e2) )
& ( e2 != op(e2,e2)
| e0 != op(e0,e2) )
& ( e2 != op(e1,e1)
| e0 != op(e0,e2) )
& ( op(e0,e0) != e2
| e0 != op(e0,e2) )
& ( e1 != op(e3,e3)
| e0 != op(e0,e1) )
& ( e1 != op(e2,e2)
| e0 != op(e0,e1) )
& ( e1 != op(e1,e1)
| e0 != op(e0,e1) )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) )
& ( e0 != op(e3,e3)
| e0 != op(e0,e0) )
& ( e0 != op(e2,e2)
| e0 != op(e0,e0) )
& ( e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f9110,plain,
( spl0_1
| ~ spl0_85
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f9099,f786,f707,f297]) ).
fof(f707,plain,
( spl0_85
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f786,plain,
( spl0_98
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f9099,plain,
( e0 = e1
| ~ spl0_85
| ~ spl0_98 ),
inference(superposition,[],[f709,f788]) ).
fof(f788,plain,
( e1 = op(e3,e0)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f709,plain,
( e0 = op(e3,e0)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f9056,plain,
( spl0_8
| spl0_69
| spl0_1
| spl0_4
| ~ spl0_83
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3974,f1091,f699,f312,f297,f632,f332]) ).
fof(f332,plain,
( spl0_8
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f632,plain,
( spl0_69
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f699,plain,
( spl0_83
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1091,plain,
( spl0_115
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f3974,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl0_83
| ~ spl0_115 ),
inference(forward_demodulation,[],[f3205,f1093]) ).
fof(f1093,plain,
( e2 = op(e1,e2)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f3205,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f182,f701]) ).
fof(f701,plain,
( e0 = op(e1,e0)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f182,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9051,plain,
( spl0_78
| spl0_3
| spl0_2
| ~ spl0_94
| ~ spl0_113
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f9019,f3745,f1058,f753,f302,f307,f672]) ).
fof(f753,plain,
( spl0_94
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f9019,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl0_94
| ~ spl0_113
| ~ spl0_118 ),
inference(forward_demodulation,[],[f9018,f755]) ).
fof(f755,plain,
( e2 = op(e0,e3)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f9018,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl0_113
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f9017]) ).
fof(f9017,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl0_113
| ~ spl0_118 ),
inference(forward_demodulation,[],[f8221,f3747]) ).
fof(f8221,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl0_113 ),
inference(forward_demodulation,[],[f197,f1060]) ).
fof(f9007,plain,
( spl0_80
| spl0_5
| spl0_4
| ~ spl0_94
| ~ spl0_100
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f8994,f3745,f850,f753,f312,f317,f681]) ).
fof(f681,plain,
( spl0_80
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f850,plain,
( spl0_100
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f8994,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl0_94
| ~ spl0_100
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f8993]) ).
fof(f8993,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_94
| ~ spl0_100
| ~ spl0_118 ),
inference(forward_demodulation,[],[f5150,f851]) ).
fof(f851,plain,
( e2 = op(e1,e3)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f5150,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl0_94
| ~ spl0_118 ),
inference(forward_demodulation,[],[f899,f3747]) ).
fof(f899,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl0_94 ),
inference(forward_demodulation,[],[f199,f755]) ).
fof(f199,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8992,plain,
( spl0_118
| spl0_10
| spl0_6
| ~ spl0_94
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f8921,f850,f753,f322,f342,f3745]) ).
fof(f342,plain,
( spl0_10
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f8921,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl0_94
| ~ spl0_100 ),
inference(duplicate_literal_removal,[],[f4650]) ).
fof(f4650,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl0_94
| ~ spl0_100 ),
inference(forward_demodulation,[],[f4602,f755]) ).
fof(f4602,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_100 ),
inference(forward_demodulation,[],[f203,f851]) ).
fof(f203,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8990,plain,
( ~ spl0_69
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f8943,f609,f632]) ).
fof(f609,plain,
( spl0_64
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f8943,plain,
( e1 != op(e1,e3)
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f8942]) ).
fof(f8942,plain,
( e3 != e3
| e1 != op(e1,e3)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f136,f610]) ).
fof(f610,plain,
( op(e0,e0) = e3
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f136,plain,
( op(e0,e0) != e3
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8966,plain,
( ~ spl0_68
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f8941,f596,f627]) ).
fof(f596,plain,
( spl0_61
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f8941,plain,
( e2 != op(e1,e1)
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f8940]) ).
fof(f8940,plain,
( e0 != e0
| e2 != op(e1,e1)
| ~ spl0_61 ),
inference(forward_demodulation,[],[f117,f597]) ).
fof(f597,plain,
( e0 = op(e0,e2)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f117,plain,
( e2 != op(e1,e1)
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8935,plain,
( spl0_10
| spl0_6
| spl0_3
| ~ spl0_94
| ~ spl0_100
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8923,f1078,f850,f753,f307,f322,f342]) ).
fof(f8923,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_94
| ~ spl0_100
| ~ spl0_114 ),
inference(forward_demodulation,[],[f4651,f1080]) ).
fof(f4651,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl0_94
| ~ spl0_100 ),
inference(duplicate_literal_removal,[],[f4650]) ).
fof(f8919,plain,
( spl0_68
| spl0_100
| spl0_6
| spl0_2
| ~ spl0_83
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f7465,f975,f699,f302,f322,f850,f627]) ).
fof(f7465,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl0_83
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4593,f701]) ).
fof(f8908,plain,
( spl0_96
| spl0_5
| spl0_1
| ~ spl0_61
| ~ spl0_76
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f8895,f975,f663,f596,f297,f317,f777]) ).
fof(f8895,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl0_61
| ~ spl0_76
| ~ spl0_105 ),
inference(forward_demodulation,[],[f8603,f597]) ).
fof(f8603,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl0_76
| ~ spl0_105 ),
inference(duplicate_literal_removal,[],[f5357]) ).
fof(f5357,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl0_76
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4224,f664]) ).
fof(f664,plain,
( e3 = op(e2,e2)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f4224,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f191,f976]) ).
fof(f8889,plain,
( spl0_74
| spl0_1
| spl0_4
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8879,f1078,f650,f641,f312,f297,f654]) ).
fof(f8879,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f8878]) ).
fof(f8878,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114 ),
inference(forward_demodulation,[],[f6572,f642]) ).
fof(f642,plain,
( e2 = op(e2,e0)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f6572,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl0_73
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1635,f651]) ).
fof(f1635,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f190,f1080]) ).
fof(f190,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8875,plain,
( spl0_73
| spl0_92
| spl0_6
| spl0_4
| ~ spl0_70
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f3273,f714,f636,f312,f322,f744,f650]) ).
fof(f744,plain,
( spl0_92
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f636,plain,
( spl0_70
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f714,plain,
( spl0_86
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f3273,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl0_70
| ~ spl0_86 ),
inference(forward_demodulation,[],[f3272,f716]) ).
fof(f716,plain,
( e1 = op(e0,e1)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f3272,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl0_70 ),
inference(forward_demodulation,[],[f185,f637]) ).
fof(f637,plain,
( e3 = op(e1,e1)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f185,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8820,plain,
( spl0_106
| spl0_1
| spl0_5
| spl0_4
| ~ spl0_71
| ~ spl0_76
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f8780,f931,f663,f641,f312,f317,f297,f986]) ).
fof(f986,plain,
( spl0_106
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f931,plain,
( spl0_103
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f8780,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| ~ spl0_71
| ~ spl0_76
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6263,f642]) ).
fof(f6263,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl0_76
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2125,f664]) ).
fof(f2125,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f190,f933]) ).
fof(f933,plain,
( e0 = op(e2,e1)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f8763,plain,
( ~ spl0_114
| ~ spl0_76
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f257,f722,f663,f1078]) ).
fof(f257,plain,
( e1 != op(e0,e3)
| e3 != op(e2,e2)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f256]) ).
fof(f256,plain,
( e1 != op(op(e2,e3),e3)
| e3 != op(e2,e2)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f224]) ).
fof(f224,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f8740,plain,
( spl0_82
| spl0_4
| spl0_6
| spl0_2
| ~ spl0_88
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8681,f1078,f1058,f722,f302,f322,f312,f690]) ).
fof(f690,plain,
( spl0_82
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f8681,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl0_88
| ~ spl0_113
| ~ spl0_114 ),
inference(forward_demodulation,[],[f8211,f1080]) ).
fof(f8211,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl0_88
| ~ spl0_113 ),
inference(forward_demodulation,[],[f1774,f1060]) ).
fof(f1774,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl0_88 ),
inference(forward_demodulation,[],[f201,f724]) ).
fof(f201,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8727,plain,
( spl0_10
| spl0_6
| spl0_3
| spl0_5
| ~ spl0_98
| ~ spl0_104
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f8670,f1095,f935,f786,f317,f307,f322,f342]) ).
fof(f935,plain,
( spl0_104
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1095,plain,
( spl0_116
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f8670,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_98
| ~ spl0_104
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5782,f788]) ).
fof(f5782,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl0_104
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5350,f937]) ).
fof(f937,plain,
( e0 = op(e3,e1)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f5350,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f202,f1097]) ).
fof(f1097,plain,
( e2 = op(e3,e2)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f202,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8658,plain,
( spl0_71
| spl0_4
| spl0_2
| spl0_6
| ~ spl0_64
| ~ spl0_83
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f8539,f786,f699,f609,f322,f302,f312,f641]) ).
fof(f8539,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl0_64
| ~ spl0_83
| ~ spl0_98 ),
inference(forward_demodulation,[],[f6358,f610]) ).
fof(f6358,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl0_83
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1935,f701]) ).
fof(f1935,plain,
( e1 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl0_98 ),
inference(forward_demodulation,[],[f177,f788]) ).
fof(f177,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f8638,plain,
( spl0_76
| spl0_5
| spl0_3
| spl0_6
| ~ spl0_71
| ~ spl0_111
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8629,f1078,f1042,f641,f322,f307,f317,f663]) ).
fof(f1042,plain,
( spl0_111
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f8629,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl0_71
| ~ spl0_111
| ~ spl0_114 ),
inference(forward_demodulation,[],[f8628,f642]) ).
fof(f8628,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_111
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3705,f1080]) ).
fof(f3705,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_111 ),
inference(forward_demodulation,[],[f194,f1044]) ).
fof(f1044,plain,
( e1 = op(e2,e1)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f8626,plain,
( spl0_117
| spl0_3
| spl0_1
| ~ spl0_76
| ~ spl0_87
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f8613,f975,f718,f663,f297,f307,f1470]) ).
fof(f1470,plain,
( spl0_117
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f718,plain,
( spl0_87
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f8613,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl0_76
| ~ spl0_87
| ~ spl0_105 ),
inference(forward_demodulation,[],[f5356,f720]) ).
fof(f720,plain,
( e1 = op(e0,e2)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f5356,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl0_76
| ~ spl0_105 ),
inference(duplicate_literal_removal,[],[f5355]) ).
fof(f5355,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl0_76
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4222,f664]) ).
fof(f4222,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f189,f976]) ).
fof(f189,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8624,plain,
( ~ spl0_84
| spl0_49
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f7183,f1078,f537,f703]) ).
fof(f703,plain,
( spl0_84
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f537,plain,
( spl0_49
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f7183,plain,
( e0 != op(e2,e0)
| spl0_49
| ~ spl0_114 ),
inference(superposition,[],[f539,f1080]) ).
fof(f539,plain,
( op(e2,e0) != op(e2,e3)
| spl0_49 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f8600,plain,
( ~ spl0_71
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f143,f672,f641]) ).
fof(f143,plain,
( e0 != op(e3,e3)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8520,plain,
( spl0_101
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_64
| ~ spl0_83
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f8478,f782,f699,f609,f322,f312,f302,f855]) ).
fof(f8478,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl0_64
| ~ spl0_83
| ~ spl0_97 ),
inference(forward_demodulation,[],[f8477,f610]) ).
fof(f8477,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl0_83
| ~ spl0_97 ),
inference(forward_demodulation,[],[f6342,f784]) ).
fof(f6342,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl0_83 ),
inference(forward_demodulation,[],[f177,f701]) ).
fof(f8455,plain,
( spl0_80
| spl0_4
| spl0_1
| ~ spl0_85
| ~ spl0_92
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f8427,f1095,f744,f707,f297,f312,f681]) ).
fof(f8427,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_85
| ~ spl0_92
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7881,f709]) ).
fof(f7881,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl0_92
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f3816]) ).
fof(f3816,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl0_92
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3075,f745]) ).
fof(f745,plain,
( e2 = op(e3,e1)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f3075,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f198,f1097]) ).
fof(f198,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8412,plain,
( spl0_80
| spl0_5
| spl0_4
| spl0_1
| ~ spl0_94
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8335,f1078,f1058,f753,f297,f312,f317,f681]) ).
fof(f8335,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl0_94
| ~ spl0_113
| ~ spl0_114 ),
inference(forward_demodulation,[],[f7995,f1080]) ).
fof(f7995,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl0_94
| ~ spl0_113 ),
inference(forward_demodulation,[],[f6345,f755]) ).
fof(f6345,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl0_113 ),
inference(forward_demodulation,[],[f199,f1060]) ).
fof(f8309,plain,
( spl0_116
| spl0_82
| spl0_4
| ~ spl0_98
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f8283,f1046,f786,f312,f690,f1095]) ).
fof(f1046,plain,
( spl0_112
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f8283,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl0_98
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f8282]) ).
fof(f8282,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl0_98
| ~ spl0_112 ),
inference(forward_demodulation,[],[f7712,f1048]) ).
fof(f1048,plain,
( e1 = op(e3,e1)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f7712,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl0_98 ),
inference(forward_demodulation,[],[f200,f788]) ).
fof(f200,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8271,plain,
( spl0_10
| spl0_6
| spl0_5
| ~ spl0_96
| ~ spl0_101
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f8258,f1046,f855,f777,f317,f322,f342]) ).
fof(f8258,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_96
| ~ spl0_101
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f8257]) ).
fof(f8257,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_96
| ~ spl0_101
| ~ spl0_112 ),
inference(forward_demodulation,[],[f7529,f1048]) ).
fof(f7529,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl0_96
| ~ spl0_101 ),
inference(forward_demodulation,[],[f5941,f778]) ).
fof(f778,plain,
( e1 = op(e3,e2)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f5941,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f202,f857]) ).
fof(f857,plain,
( e2 = op(e3,e0)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f8253,plain,
( spl0_96
| spl0_5
| spl0_1
| spl0_4
| ~ spl0_76
| ~ spl0_93
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8237,f1027,f749,f663,f312,f297,f317,f777]) ).
fof(f8237,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl0_76
| ~ spl0_93
| ~ spl0_109 ),
inference(forward_demodulation,[],[f7954,f751]) ).
fof(f7954,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl0_76
| ~ spl0_109 ),
inference(forward_demodulation,[],[f5971,f1029]) ).
fof(f5971,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl0_76 ),
inference(forward_demodulation,[],[f191,f664]) ).
fof(f8210,plain,
( spl0_75
| spl0_4
| spl0_2
| spl0_6
| ~ spl0_78
| ~ spl0_88
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8178,f1058,f722,f672,f322,f302,f312,f659]) ).
fof(f659,plain,
( spl0_75
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f8178,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl0_78
| ~ spl0_88
| ~ spl0_113 ),
inference(forward_demodulation,[],[f8177,f1060]) ).
fof(f8177,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl0_78
| ~ spl0_88 ),
inference(forward_demodulation,[],[f1774,f673]) ).
fof(f673,plain,
( e0 = op(e3,e3)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f8194,plain,
( spl0_75
| spl0_4
| spl0_6
| spl0_2
| ~ spl0_74
| ~ spl0_84
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f8121,f735,f703,f654,f302,f322,f312,f659]) ).
fof(f735,plain,
( spl0_90
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f8121,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl0_74
| ~ spl0_84
| ~ spl0_90 ),
inference(forward_demodulation,[],[f8120,f705]) ).
fof(f705,plain,
( e0 = op(e2,e0)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f8120,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl0_74
| ~ spl0_90 ),
inference(forward_demodulation,[],[f7019,f736]) ).
fof(f736,plain,
( e3 = op(e2,e1)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f7019,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl0_74 ),
inference(forward_demodulation,[],[f192,f655]) ).
fof(f655,plain,
( e1 = op(e2,e2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f192,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8160,plain,
( spl0_80
| spl0_5
| spl0_4
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f8125,f855,f744,f686,f312,f317,f681]) ).
fof(f686,plain,
( spl0_81
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f8125,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(duplicate_literal_removal,[],[f8124]) ).
fof(f8124,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(forward_demodulation,[],[f8123,f745]) ).
fof(f8123,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl0_81
| ~ spl0_101 ),
inference(forward_demodulation,[],[f5940,f687]) ).
fof(f687,plain,
( e3 = op(e3,e2)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f5940,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f198,f857]) ).
fof(f8150,plain,
( spl0_78
| spl0_3
| spl0_2
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f8108,f855,f744,f686,f302,f307,f672]) ).
fof(f8108,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(duplicate_literal_removal,[],[f8107]) ).
fof(f8107,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_81
| ~ spl0_92
| ~ spl0_101 ),
inference(forward_demodulation,[],[f6128,f745]) ).
fof(f6128,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl0_81
| ~ spl0_101 ),
inference(forward_demodulation,[],[f5942,f687]) ).
fof(f5942,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f196,f857]) ).
fof(f196,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8119,plain,
( spl0_5
| ~ spl0_81
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f8113,f777,f686,f317]) ).
fof(f8113,plain,
( e1 = e3
| ~ spl0_81
| ~ spl0_96 ),
inference(forward_demodulation,[],[f687,f778]) ).
fof(f8091,plain,
( spl0_90
| spl0_3
| spl0_6
| spl0_5
| ~ spl0_66
| ~ spl0_86
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f7898,f744,f714,f618,f317,f322,f307,f735]) ).
fof(f7898,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl0_66
| ~ spl0_86
| ~ spl0_92 ),
inference(forward_demodulation,[],[f7745,f716]) ).
fof(f7745,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_92 ),
inference(forward_demodulation,[],[f7141,f745]) ).
fof(f7141,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f187,f619]) ).
fof(f619,plain,
( e0 = op(e1,e1)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f187,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8031,plain,
( ~ spl0_106
| ~ spl0_64
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f7992,f753,f609,f986]) ).
fof(f7992,plain,
( e1 != op(e2,e3)
| ~ spl0_64
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f7991]) ).
fof(f7991,plain,
( e2 != e2
| e1 != op(e2,e3)
| ~ spl0_64
| ~ spl0_94 ),
inference(forward_demodulation,[],[f7990,f755]) ).
fof(f7990,plain,
( e1 != op(e2,e3)
| e2 != op(e0,e3)
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f7989]) ).
fof(f7989,plain,
( e3 != e3
| e1 != op(e2,e3)
| e2 != op(e0,e3)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f287,f610]) ).
fof(f287,plain,
( e1 != op(e2,e3)
| op(e0,e0) != e3
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f286]) ).
fof(f286,plain,
( e1 != op(op(e0,e3),e3)
| op(e0,e0) != e3
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f239]) ).
fof(f239,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e3
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f7986,plain,
( spl0_96
| spl0_5
| spl0_1
| ~ spl0_61
| ~ spl0_76
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f7956,f1027,f663,f596,f297,f317,f777]) ).
fof(f7956,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl0_61
| ~ spl0_76
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f7955]) ).
fof(f7955,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl0_61
| ~ spl0_76
| ~ spl0_109 ),
inference(forward_demodulation,[],[f7954,f597]) ).
fof(f7939,plain,
( spl0_78
| spl0_2
| spl0_1
| ~ spl0_92
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f7900,f1095,f786,f744,f297,f302,f672]) ).
fof(f7900,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_92
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3814,f788]) ).
fof(f3814,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl0_92
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f3813]) ).
fof(f3813,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl0_92
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3077,f745]) ).
fof(f3077,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f196,f1097]) ).
fof(f7875,plain,
( spl0_74
| spl0_106
| spl0_1
| spl0_4
| ~ spl0_73
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4248,f703,f650,f312,f297,f986,f654]) ).
fof(f4248,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl0_73
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1763,f651]) ).
fof(f1763,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl0_84 ),
inference(forward_demodulation,[],[f190,f705]) ).
fof(f7867,plain,
( spl0_73
| spl0_92
| spl0_2
| spl0_4
| ~ spl0_66
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f7836,f714,f618,f312,f302,f744,f650]) ).
fof(f7836,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl0_66
| ~ spl0_86 ),
inference(forward_demodulation,[],[f7143,f716]) ).
fof(f7143,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f185,f619]) ).
fof(f7860,plain,
( spl0_79
| spl0_81
| spl0_6
| spl0_5
| ~ spl0_82
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f7831,f786,f690,f317,f322,f686,f677]) ).
fof(f677,plain,
( spl0_79
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f7831,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl0_82
| ~ spl0_98 ),
inference(forward_demodulation,[],[f7151,f788]) ).
fof(f7151,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f202,f691]) ).
fof(f691,plain,
( e2 = op(e3,e3)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f7848,plain,
( spl0_118
| spl0_6
| spl0_5
| spl0_3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f7811,f690,f632,f605,f307,f317,f322,f3745]) ).
fof(f605,plain,
( spl0_63
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f7811,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl0_63
| ~ spl0_69
| ~ spl0_82 ),
inference(forward_demodulation,[],[f7580,f606]) ).
fof(f606,plain,
( e0 = op(e0,e3)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f7580,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_69
| ~ spl0_82 ),
inference(forward_demodulation,[],[f2968,f633]) ).
fof(f633,plain,
( e1 = op(e1,e3)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f2968,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f203,f691]) ).
fof(f7838,plain,
( spl0_117
| spl0_3
| spl0_2
| spl0_1
| ~ spl0_74
| ~ spl0_95
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f7722,f1091,f773,f654,f297,f302,f307,f1470]) ).
fof(f773,plain,
( spl0_95
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f7722,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl0_74
| ~ spl0_95
| ~ spl0_115 ),
inference(forward_demodulation,[],[f6902,f655]) ).
fof(f6902,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl0_95
| ~ spl0_115 ),
inference(forward_demodulation,[],[f1781,f1093]) ).
fof(f1781,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f189,f774]) ).
fof(f774,plain,
( e3 = op(e0,e2)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f7830,plain,
( spl0_81
| spl0_6
| spl0_5
| ~ spl0_82
| ~ spl0_92
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f7789,f786,f744,f690,f317,f322,f686]) ).
fof(f7789,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl0_82
| ~ spl0_92
| ~ spl0_98 ),
inference(forward_demodulation,[],[f7586,f788]) ).
fof(f7586,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_92 ),
inference(duplicate_literal_removal,[],[f7585]) ).
fof(f7585,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_92 ),
inference(forward_demodulation,[],[f7151,f745]) ).
fof(f7784,plain,
( spl0_81
| spl0_5
| spl0_6
| ~ spl0_80
| ~ spl0_92
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f7733,f786,f744,f681,f322,f317,f686]) ).
fof(f7733,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl0_80
| ~ spl0_92
| ~ spl0_98 ),
inference(forward_demodulation,[],[f6925,f745]) ).
fof(f6925,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98 ),
inference(duplicate_literal_removal,[],[f6924]) ).
fof(f6924,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2833,f682]) ).
fof(f682,plain,
( e1 = op(e3,e3)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2833,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl0_98 ),
inference(forward_demodulation,[],[f202,f788]) ).
fof(f7783,plain,
( ~ spl0_79
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f162,f654,f677]) ).
fof(f162,plain,
( e1 != op(e2,e2)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7702,plain,
( spl0_2
| ~ spl0_78
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f7675,f690,f672,f302]) ).
fof(f7675,plain,
( e0 = e2
| ~ spl0_78
| ~ spl0_82 ),
inference(superposition,[],[f673,f691]) ).
fof(f7635,plain,
( spl0_6
| ~ spl0_79
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f7241,f744,f677,f322]) ).
fof(f7241,plain,
( e2 = e3
| ~ spl0_79
| ~ spl0_92 ),
inference(superposition,[],[f745,f678]) ).
fof(f678,plain,
( e3 = op(e3,e1)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f7531,plain,
( spl0_10
| spl0_6
| spl0_5
| spl0_3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f7521,f659,f632,f605,f307,f317,f322,f342]) ).
fof(f7521,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75 ),
inference(forward_demodulation,[],[f4215,f606]) ).
fof(f4215,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl0_69
| ~ spl0_75 ),
inference(forward_demodulation,[],[f3627,f633]) ).
fof(f3627,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f203,f660]) ).
fof(f660,plain,
( e2 = op(e2,e3)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f7520,plain,
( spl0_6
| spl0_3
| spl0_5
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f7480,f681,f659,f632,f605,f317,f307,f322]) ).
fof(f7480,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f7479]) ).
fof(f7479,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75
| ~ spl0_80 ),
inference(forward_demodulation,[],[f4451,f682]) ).
fof(f4451,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_63
| ~ spl0_69
| ~ spl0_75 ),
inference(forward_demodulation,[],[f4203,f633]) ).
fof(f4203,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl0_63
| ~ spl0_75 ),
inference(forward_demodulation,[],[f4202,f606]) ).
fof(f4202,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f203,f660]) ).
fof(f7431,plain,
( spl0_69
| spl0_4
| spl0_1
| ~ spl0_66
| ~ spl0_83
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f7420,f1091,f699,f618,f297,f312,f632]) ).
fof(f7420,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl0_66
| ~ spl0_83
| ~ spl0_115 ),
inference(duplicate_literal_removal,[],[f7419]) ).
fof(f7419,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl0_66
| ~ spl0_83
| ~ spl0_115 ),
inference(forward_demodulation,[],[f7418,f701]) ).
fof(f7418,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl0_66
| ~ spl0_115 ),
inference(forward_demodulation,[],[f7261,f1093]) ).
fof(f7261,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f182,f619]) ).
fof(f7412,plain,
( spl0_66
| spl0_104
| spl0_2
| spl0_1
| ~ spl0_89
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3951,f1042,f731,f297,f302,f935,f618]) ).
fof(f731,plain,
( spl0_89
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f3951,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl0_89
| ~ spl0_111 ),
inference(forward_demodulation,[],[f819,f1044]) ).
fof(f819,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl0_89 ),
inference(forward_demodulation,[],[f181,f732]) ).
fof(f732,plain,
( e2 = op(e0,e1)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f181,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f7401,plain,
( spl0_96
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_72
| ~ spl0_95
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f7372,f1091,f773,f645,f297,f317,f312,f777]) ).
fof(f645,plain,
( spl0_72
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f7372,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl0_72
| ~ spl0_95
| ~ spl0_115 ),
inference(forward_demodulation,[],[f6896,f646]) ).
fof(f646,plain,
( e0 = op(e2,e2)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f6896,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl0_95
| ~ spl0_115 ),
inference(forward_demodulation,[],[f6080,f774]) ).
fof(f6080,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl0_115 ),
inference(forward_demodulation,[],[f191,f1093]) ).
fof(f7368,plain,
( spl0_101
| spl0_6
| spl0_2
| spl0_4
| ~ spl0_60
| ~ spl0_83
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f7341,f1015,f699,f591,f312,f302,f322,f855]) ).
fof(f591,plain,
( spl0_60
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1015,plain,
( spl0_108
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f7341,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl0_60
| ~ spl0_83
| ~ spl0_108 ),
inference(forward_demodulation,[],[f6353,f592]) ).
fof(f592,plain,
( op(e0,e0) = e1
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f6353,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl0_83
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1524,f701]) ).
fof(f1524,plain,
( e2 = e3
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl0_108 ),
inference(forward_demodulation,[],[f177,f1017]) ).
fof(f1017,plain,
( e3 = op(e2,e0)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f7356,plain,
( spl0_115
| spl0_100
| spl0_2
| ~ spl0_66
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f3237,f699,f618,f302,f850,f1091]) ).
fof(f3237,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl0_66
| ~ spl0_83 ),
inference(duplicate_literal_removal,[],[f3236]) ).
fof(f3236,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl0_66
| ~ spl0_83 ),
inference(forward_demodulation,[],[f3204,f619]) ).
fof(f3204,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f184,f701]) ).
fof(f7355,plain,
( ~ spl0_102
| ~ spl0_108
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f7263,f618,f1015,f873]) ).
fof(f873,plain,
( spl0_102
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f7263,plain,
( e3 != op(e2,e0)
| e2 != op(e1,e0)
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f7262]) ).
fof(f7262,plain,
( e0 != e0
| e3 != op(e2,e0)
| e2 != op(e1,e0)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f275,f619]) ).
fof(f275,plain,
( e3 != op(e2,e0)
| e0 != op(e1,e1)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f274]) ).
fof(f274,plain,
( e3 != op(op(e1,e0),e0)
| e0 != op(e1,e1)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f233]) ).
fof(f233,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f7340,plain,
( spl0_2
| ~ spl0_83
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f7311,f873,f699,f302]) ).
fof(f7311,plain,
( e0 = e2
| ~ spl0_83
| ~ spl0_102 ),
inference(superposition,[],[f875,f701]) ).
fof(f875,plain,
( e2 = op(e1,e0)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f7253,plain,
( spl0_9
| ~ spl0_79
| ~ spl0_92
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f7252,f3745,f744,f677,f337]) ).
fof(f337,plain,
( spl0_9
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f7252,plain,
( e2 = op(e2,e2)
| ~ spl0_79
| ~ spl0_92
| ~ spl0_118 ),
inference(forward_demodulation,[],[f3747,f7241]) ).
fof(f7249,plain,
( spl0_76
| spl0_118
| spl0_3
| spl0_5
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6753,f931,f782,f317,f307,f3745,f663]) ).
fof(f6753,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2121,f784]) ).
fof(f2121,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f194,f933]) ).
fof(f7230,plain,
( spl0_92
| spl0_2
| spl0_4
| ~ spl0_66
| ~ spl0_86
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f7198,f931,f714,f618,f312,f302,f744]) ).
fof(f7198,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl0_66
| ~ spl0_86
| ~ spl0_103 ),
inference(forward_demodulation,[],[f7197,f716]) ).
fof(f7197,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl0_66
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f7196]) ).
fof(f7196,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl0_66
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6890,f619]) ).
fof(f6890,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f185,f933]) ).
fof(f7223,plain,
( spl0_79
| spl0_3
| spl0_5
| ~ spl0_66
| ~ spl0_86
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f7195,f931,f714,f618,f317,f307,f677]) ).
fof(f7195,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl0_66
| ~ spl0_86
| ~ spl0_103 ),
inference(forward_demodulation,[],[f7194,f716]) ).
fof(f7194,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f7193]) ).
fof(f7193,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6892,f619]) ).
fof(f6892,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f187,f933]) ).
fof(f7187,plain,
( spl0_6
| spl0_5
| spl0_3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_82
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f7163,f1078,f690,f632,f605,f307,f317,f322]) ).
fof(f7163,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_82
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f7162]) ).
fof(f7162,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl0_63
| ~ spl0_69
| ~ spl0_82
| ~ spl0_114 ),
inference(forward_demodulation,[],[f7161,f606]) ).
fof(f7161,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl0_69
| ~ spl0_82
| ~ spl0_114 ),
inference(forward_demodulation,[],[f7160,f633]) ).
fof(f7160,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_82
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3309,f691]) ).
fof(f3309,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f203,f1080]) ).
fof(f7159,plain,
( spl0_84
| ~ spl0_114
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f7157,f3745,f1078,f703]) ).
fof(f7157,plain,
( e0 = op(e2,e0)
| ~ spl0_114
| ~ spl0_118 ),
inference(forward_demodulation,[],[f1080,f5012]) ).
fof(f5012,plain,
( e0 = e3
| ~ spl0_114
| ~ spl0_118 ),
inference(superposition,[],[f1080,f3747]) ).
fof(f7134,plain,
( spl0_80
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_79
| ~ spl0_85
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f7118,f1095,f707,f677,f297,f317,f312,f681]) ).
fof(f7118,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_79
| ~ spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3070,f709]) ).
fof(f3070,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1377,f678]) ).
fof(f1377,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f198,f1097]) ).
fof(f7125,plain,
( spl0_115
| spl0_4
| spl0_2
| spl0_6
| ~ spl0_66
| ~ spl0_69
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4688,f1011,f632,f618,f322,f302,f312,f1091]) ).
fof(f1011,plain,
( spl0_107
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f4688,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| ~ spl0_66
| ~ spl0_69
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4687,f1013]) ).
fof(f1013,plain,
( e3 = op(e1,e0)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f4687,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl0_66
| ~ spl0_69 ),
inference(forward_demodulation,[],[f4386,f619]) ).
fof(f4386,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl0_69 ),
inference(forward_demodulation,[],[f184,f633]) ).
fof(f7117,plain,
( spl0_79
| spl0_6
| spl0_3
| ~ spl0_82
| ~ spl0_85
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f7050,f1095,f707,f690,f307,f322,f677]) ).
fof(f7050,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl0_82
| ~ spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5305,f709]) ).
fof(f5305,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5304]) ).
fof(f5304,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5303,f1097]) ).
fof(f5303,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f202,f691]) ).
fof(f7103,plain,
( spl0_75
| spl0_2
| spl0_4
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f7043,f931,f782,f654,f312,f302,f659]) ).
fof(f7043,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f7042]) ).
fof(f7042,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6752,f655]) ).
fof(f6752,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2124,f784]) ).
fof(f2124,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f192,f933]) ).
fof(f7093,plain,
( spl0_118
| spl0_3
| spl0_5
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f7041,f931,f782,f654,f317,f307,f3745]) ).
fof(f7041,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f7040]) ).
fof(f7040,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl0_74
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6753,f655]) ).
fof(f7005,plain,
( spl0_79
| spl0_5
| spl0_6
| spl0_3
| ~ spl0_80
| ~ spl0_85
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4984,f1095,f707,f681,f307,f322,f317,f677]) ).
fof(f4984,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4983,f709]) ).
fof(f4983,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_80
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1127,f1097]) ).
fof(f1127,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_80 ),
inference(forward_demodulation,[],[f202,f682]) ).
fof(f6963,plain,
( spl0_79
| spl0_6
| spl0_5
| ~ spl0_80
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f6953,f1095,f786,f681,f317,f322,f677]) ).
fof(f6953,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f6952]) ).
fof(f6952,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6951,f788]) ).
fof(f6951,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_80
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5778,f682]) ).
fof(f5778,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f202,f1097]) ).
fof(f6949,plain,
( ~ spl0_92
| ~ spl0_80
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6939,f931,f681,f744]) ).
fof(f6939,plain,
( e1 != op(e3,e3)
| e2 != op(e3,e1)
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f6938]) ).
fof(f6938,plain,
( e0 != e0
| e1 != op(e3,e3)
| e2 != op(e3,e1)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f277,f933]) ).
fof(f277,plain,
( e0 != op(e2,e1)
| e1 != op(e3,e3)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f276]) ).
fof(f276,plain,
( e0 != op(op(e3,e1),e1)
| e1 != op(e3,e3)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f234]) ).
fof(f234,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f6937,plain,
( spl0_92
| spl0_116
| spl0_4
| ~ spl0_80
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f6923,f786,f681,f312,f1095,f744]) ).
fof(f6923,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98 ),
inference(duplicate_literal_removal,[],[f6922]) ).
fof(f6922,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl0_80
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2834,f682]) ).
fof(f2834,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl0_98 ),
inference(forward_demodulation,[],[f200,f788]) ).
fof(f6905,plain,
( spl0_76
| spl0_3
| spl0_6
| spl0_5
| ~ spl0_75
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6794,f931,f782,f659,f317,f322,f307,f663]) ).
fof(f6794,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_75
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f4081,f784]) ).
fof(f4081,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_75
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2121,f660]) ).
fof(f6895,plain,
( spl0_6
| spl0_3
| spl0_5
| ~ spl0_74
| ~ spl0_75
| ~ spl0_97
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6806,f931,f782,f659,f654,f317,f307,f322]) ).
fof(f6806,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_74
| ~ spl0_75
| ~ spl0_97
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f6805]) ).
fof(f6805,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl0_74
| ~ spl0_75
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_demodulation,[],[f6804,f784]) ).
fof(f6804,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl0_74
| ~ spl0_75
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3613,f933]) ).
fof(f3613,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl0_74
| ~ spl0_75 ),
inference(forward_demodulation,[],[f3612,f655]) ).
fof(f3612,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f194,f660]) ).
fof(f6872,plain,
( spl0_6
| spl0_2
| spl0_4
| ~ spl0_77
| ~ spl0_80
| ~ spl0_112
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f6786,f1470,f1046,f681,f668,f312,f302,f322]) ).
fof(f668,plain,
( spl0_77
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f6786,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl0_77
| ~ spl0_80
| ~ spl0_112
| ~ spl0_117 ),
inference(duplicate_literal_removal,[],[f6785]) ).
fof(f6785,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl0_77
| ~ spl0_80
| ~ spl0_112
| ~ spl0_117 ),
inference(forward_demodulation,[],[f6784,f1048]) ).
fof(f6784,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl0_77
| ~ spl0_80
| ~ spl0_117 ),
inference(forward_demodulation,[],[f6463,f682]) ).
fof(f6463,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl0_77
| ~ spl0_117 ),
inference(forward_demodulation,[],[f4205,f1471]) ).
fof(f1471,plain,
( e0 = op(e3,e2)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f4205,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl0_77 ),
inference(forward_demodulation,[],[f200,f669]) ).
fof(f669,plain,
( e3 = op(e3,e0)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f6732,plain,
( ~ spl0_59
| spl0_17
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4391,f618,f377,f587]) ).
fof(f587,plain,
( spl0_59
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f377,plain,
( spl0_17
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f4391,plain,
( e0 != op(e0,e1)
| spl0_17
| ~ spl0_66 ),
inference(superposition,[],[f379,f619]) ).
fof(f379,plain,
( op(e0,e1) != op(e1,e1)
| spl0_17 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f6720,plain,
( spl0_5
| spl0_6
| spl0_3
| ~ spl0_59
| ~ spl0_66
| ~ spl0_73
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6708,f1046,f650,f618,f587,f307,f322,f317]) ).
fof(f6708,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_59
| ~ spl0_66
| ~ spl0_73
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f6707]) ).
fof(f6707,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl0_59
| ~ spl0_66
| ~ spl0_73
| ~ spl0_112 ),
inference(forward_demodulation,[],[f6706,f588]) ).
fof(f588,plain,
( e0 = op(e0,e1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f6706,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_73
| ~ spl0_112 ),
inference(forward_demodulation,[],[f4449,f651]) ).
fof(f4449,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1308,f619]) ).
fof(f1308,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f187,f1048]) ).
fof(f6694,plain,
( spl0_80
| spl0_5
| spl0_1
| ~ spl0_99
| ~ spl0_110
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f6576,f1078,f1031,f799,f297,f317,f681]) ).
fof(f799,plain,
( spl0_99
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f6576,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl0_99
| ~ spl0_110
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f6575]) ).
fof(f6575,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl0_99
| ~ spl0_110
| ~ spl0_114 ),
inference(forward_demodulation,[],[f6199,f1080]) ).
fof(f6199,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl0_99
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1712,f801]) ).
fof(f801,plain,
( e3 = op(e0,e3)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f1712,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f199,f1033]) ).
fof(f6692,plain,
( ~ spl0_72
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f6550,f614,f645]) ).
fof(f6550,plain,
( e0 != op(e2,e2)
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1427]) ).
fof(f1427,plain,
( e1 != e1
| e0 != op(e2,e2)
| ~ spl0_65 ),
inference(forward_demodulation,[],[f126,f615]) ).
fof(f126,plain,
( e0 != op(e2,e2)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f6669,plain,
( ~ spl0_82
| ~ spl0_87
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f6567,f1470,f718,f690]) ).
fof(f6567,plain,
( e2 != op(e3,e3)
| ~ spl0_87
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f6566]) ).
fof(f6566,plain,
( e0 != e0
| e2 != op(e3,e3)
| ~ spl0_87
| ~ spl0_117 ),
inference(forward_demodulation,[],[f6565,f1471]) ).
fof(f6565,plain,
( e2 != op(e3,e3)
| e0 != op(e3,e2)
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f6564]) ).
fof(f6564,plain,
( e1 != e1
| e2 != op(e3,e3)
| e0 != op(e3,e2)
| ~ spl0_87 ),
inference(forward_demodulation,[],[f253,f720]) ).
fof(f253,plain,
( e1 != op(e0,e2)
| e2 != op(e3,e3)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f252]) ).
fof(f252,plain,
( e1 != op(op(e3,e2),e2)
| e2 != op(e3,e3)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f222]) ).
fof(f222,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f6549,plain,
( spl0_69
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_70
| ~ spl0_83
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f6270,f1091,f699,f636,f317,f312,f297,f632]) ).
fof(f6270,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl0_70
| ~ spl0_83
| ~ spl0_115 ),
inference(forward_demodulation,[],[f3974,f637]) ).
fof(f6522,plain,
( ~ spl0_99
| spl0_29
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3916,f1058,f437,f799]) ).
fof(f437,plain,
( spl0_29
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3916,plain,
( e3 != op(e0,e3)
| spl0_29
| ~ spl0_113 ),
inference(superposition,[],[f439,f1060]) ).
fof(f439,plain,
( op(e0,e3) != op(e1,e3)
| spl0_29 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f6439,plain,
( ~ spl0_108
| ~ spl0_72
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f283,f786,f645,f1015]) ).
fof(f283,plain,
( e1 != op(e3,e0)
| e0 != op(e2,e2)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f282]) ).
fof(f282,plain,
( e1 != op(op(e2,e0),e0)
| e0 != op(e2,e2)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f237]) ).
fof(f237,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f6429,plain,
( spl0_78
| spl0_2
| spl0_3
| spl0_1
| ~ spl0_75
| ~ spl0_88
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f6418,f1058,f722,f659,f297,f307,f302,f672]) ).
fof(f6418,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_75
| ~ spl0_88
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3843,f724]) ).
fof(f3843,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl0_75
| ~ spl0_113 ),
inference(forward_demodulation,[],[f1285,f1060]) ).
fof(f1285,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f197,f660]) ).
fof(f6417,plain,
( spl0_75
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_72
| ~ spl0_108
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f6363,f1042,f1015,f645,f322,f312,f302,f659]) ).
fof(f6363,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl0_72
| ~ spl0_108
| ~ spl0_111 ),
inference(forward_demodulation,[],[f6362,f1017]) ).
fof(f6362,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl0_72
| ~ spl0_111 ),
inference(forward_demodulation,[],[f5208,f1044]) ).
fof(f5208,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl0_72 ),
inference(forward_demodulation,[],[f192,f646]) ).
fof(f6416,plain,
( ~ spl0_77
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f158,f645,f668]) ).
fof(f158,plain,
( e0 != op(e2,e2)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f6415,plain,
( ~ spl0_70
| spl0_45
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f2998,f1058,f517,f636]) ).
fof(f517,plain,
( spl0_45
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2998,plain,
( e3 != op(e1,e1)
| spl0_45
| ~ spl0_113 ),
inference(superposition,[],[f519,f1060]) ).
fof(f519,plain,
( op(e1,e1) != op(e1,e3)
| spl0_45 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f6331,plain,
( spl0_101
| spl0_4
| spl0_2
| ~ spl0_60
| ~ spl0_83
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4247,f703,f699,f591,f302,f312,f855]) ).
fof(f4247,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e0)
| ~ spl0_60
| ~ spl0_83
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f4246]) ).
fof(f4246,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl0_60
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[],[f3944,f701]) ).
fof(f3944,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| ~ spl0_60
| ~ spl0_84 ),
inference(forward_demodulation,[],[f3798,f592]) ).
fof(f3798,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl0_84 ),
inference(forward_demodulation,[],[f177,f705]) ).
fof(f6318,plain,
( spl0_5
| ~ spl0_74
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f6279,f663,f654,f317]) ).
fof(f6279,plain,
( e1 = e3
| ~ spl0_74
| ~ spl0_76 ),
inference(superposition,[],[f655,f664]) ).
fof(f6232,plain,
( spl0_75
| spl0_82
| spl0_6
| spl0_2
| ~ spl0_99
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f4837,f1031,f799,f302,f322,f690,f659]) ).
fof(f4837,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl0_99
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4709,f1033]) ).
fof(f4709,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl0_99 ),
inference(forward_demodulation,[],[f201,f801]) ).
fof(f6224,plain,
( spl0_70
| spl0_90
| spl0_6
| spl0_5
| ~ spl0_89
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f4665,f1046,f731,f317,f322,f735,f636]) ).
fof(f4665,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl0_89
| ~ spl0_112 ),
inference(forward_demodulation,[],[f4005,f1048]) ).
fof(f4005,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl0_89 ),
inference(forward_demodulation,[],[f187,f732]) ).
fof(f6215,plain,
( spl0_96
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_61
| ~ spl0_76
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f5932,f1091,f663,f596,f297,f317,f312,f777]) ).
fof(f5932,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl0_61
| ~ spl0_76
| ~ spl0_115 ),
inference(forward_demodulation,[],[f5931,f597]) ).
fof(f5931,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl0_76
| ~ spl0_115 ),
inference(forward_demodulation,[],[f3999,f664]) ).
fof(f3999,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl0_115 ),
inference(forward_demodulation,[],[f191,f1093]) ).
fof(f6197,plain,
( spl0_75
| spl0_6
| spl0_2
| ~ spl0_78
| ~ spl0_99
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f6188,f1031,f799,f672,f302,f322,f659]) ).
fof(f6188,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl0_78
| ~ spl0_99
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f6187]) ).
fof(f6187,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl0_78
| ~ spl0_99
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4837,f673]) ).
fof(f6196,plain,
( ~ spl0_73
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f6186,f591,f650]) ).
fof(f6186,plain,
( e2 != op(e2,e1)
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f6185]) ).
fof(f6185,plain,
( e1 != e1
| e2 != op(e2,e1)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f144,f592]) ).
fof(f144,plain,
( op(e0,e0) != e1
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f6184,plain,
( spl0_1
| ~ spl0_78
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f6152,f681,f672,f297]) ).
fof(f6152,plain,
( e0 = e1
| ~ spl0_78
| ~ spl0_80 ),
inference(superposition,[],[f673,f682]) ).
fof(f6162,plain,
( spl0_90
| spl0_76
| spl0_6
| spl0_3
| ~ spl0_75
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4006,f703,f659,f307,f322,f663,f735]) ).
fof(f4006,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_demodulation,[],[f3880,f705]) ).
fof(f3880,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f194,f660]) ).
fof(f6151,plain,
( spl0_78
| spl0_2
| spl0_3
| spl0_1
| ~ spl0_81
| ~ spl0_101
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6129,f1046,f855,f686,f297,f307,f302,f672]) ).
fof(f6129,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_81
| ~ spl0_101
| ~ spl0_112 ),
inference(forward_demodulation,[],[f6128,f1048]) ).
fof(f6136,plain,
( spl0_80
| spl0_4
| spl0_1
| spl0_5
| ~ spl0_75
| ~ spl0_99
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f6092,f1031,f799,f659,f317,f297,f312,f681]) ).
fof(f6092,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_75
| ~ spl0_99
| ~ spl0_110 ),
inference(forward_demodulation,[],[f6091,f801]) ).
fof(f6091,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl0_75
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4206,f1033]) ).
fof(f4206,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f199,f660]) ).
fof(f6127,plain,
( spl0_101
| spl0_6
| spl0_2
| spl0_4
| ~ spl0_60
| ~ spl0_84
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4322,f1011,f703,f591,f312,f302,f322,f855]) ).
fof(f4322,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl0_60
| ~ spl0_84
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4321,f592]) ).
fof(f4321,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl0_84
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2368,f705]) ).
fof(f2368,plain,
( e2 = e3
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl0_107 ),
inference(forward_demodulation,[],[f177,f1013]) ).
fof(f6071,plain,
( spl0_106
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_73
| ~ spl0_76
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f6062,f703,f663,f650,f317,f312,f297,f986]) ).
fof(f6062,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl0_73
| ~ spl0_76
| ~ spl0_84 ),
inference(forward_demodulation,[],[f4248,f664]) ).
fof(f6069,plain,
( ~ spl0_102
| spl0_42
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3968,f1091,f502,f873]) ).
fof(f502,plain,
( spl0_42
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f3968,plain,
( e2 != op(e1,e0)
| spl0_42
| ~ spl0_115 ),
inference(superposition,[],[f504,f1093]) ).
fof(f504,plain,
( op(e1,e0) != op(e1,e2)
| spl0_42 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f6060,plain,
( spl0_73
| spl0_4
| spl0_2
| spl0_6
| ~ spl0_59
| ~ spl0_70
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5999,f1046,f636,f587,f322,f302,f312,f650]) ).
fof(f5999,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl0_59
| ~ spl0_70
| ~ spl0_112 ),
inference(forward_demodulation,[],[f5211,f637]) ).
fof(f5211,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl0_59
| ~ spl0_112 ),
inference(forward_demodulation,[],[f4586,f588]) ).
fof(f4586,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f185,f1048]) ).
fof(f6058,plain,
( spl0_80
| spl0_1
| spl0_5
| ~ spl0_99
| ~ spl0_110
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5979,f3745,f1031,f799,f317,f297,f681]) ).
fof(f5979,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl0_99
| ~ spl0_110
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f5978]) ).
fof(f5978,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl0_99
| ~ spl0_110
| ~ spl0_118 ),
inference(forward_demodulation,[],[f4712,f3747]) ).
fof(f4712,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl0_99
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2264,f801]) ).
fof(f2264,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f199,f1033]) ).
fof(f5961,plain,
( spl0_98
| spl0_1
| spl0_5
| ~ spl0_64
| ~ spl0_84
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f5945,f1011,f703,f609,f317,f297,f786]) ).
fof(f5945,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl0_64
| ~ spl0_84
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f5944]) ).
fof(f5944,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| ~ spl0_64
| ~ spl0_84
| ~ spl0_107 ),
inference(forward_demodulation,[],[f5943,f610]) ).
fof(f5943,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl0_84
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2367,f705]) ).
fof(f2367,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl0_107 ),
inference(forward_demodulation,[],[f175,f1013]) ).
fof(f175,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f5939,plain,
( spl0_4
| ~ spl0_98
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f5938,f855,f786,f312]) ).
fof(f5938,plain,
( e1 = e2
| ~ spl0_98
| ~ spl0_101 ),
inference(forward_demodulation,[],[f857,f788]) ).
fof(f5917,plain,
( spl0_6
| ~ spl0_102
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f5915,f1011,f873,f322]) ).
fof(f5915,plain,
( e2 = e3
| ~ spl0_102
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1013,f875]) ).
fof(f5907,plain,
( ~ spl0_110
| ~ spl0_70
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f5901,f753,f636,f1031]) ).
fof(f5901,plain,
( e0 != op(e1,e3)
| ~ spl0_70
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f5900]) ).
fof(f5900,plain,
( e3 != e3
| e0 != op(e1,e3)
| ~ spl0_70
| ~ spl0_94 ),
inference(forward_demodulation,[],[f5899,f637]) ).
fof(f5899,plain,
( e3 != op(e1,e1)
| e0 != op(e1,e3)
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f5898]) ).
fof(f5898,plain,
( e2 != e2
| e3 != op(e1,e1)
| e0 != op(e1,e3)
| ~ spl0_94 ),
inference(forward_demodulation,[],[f259,f755]) ).
fof(f259,plain,
( e2 != op(e0,e3)
| e3 != op(e1,e1)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f258]) ).
fof(f258,plain,
( e2 != op(op(e1,e3),e3)
| e3 != op(e1,e1)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f225]) ).
fof(f225,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f5895,plain,
( spl0_78
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_79
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5886,f1095,f786,f677,f307,f302,f297,f672]) ).
fof(f5886,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl0_79
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5885,f678]) ).
fof(f5885,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f2828,f1097]) ).
fof(f2828,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl0_98 ),
inference(forward_demodulation,[],[f196,f788]) ).
fof(f5893,plain,
( ~ spl0_66
| spl0_45
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f3675,f1031,f517,f618]) ).
fof(f3675,plain,
( e0 != op(e1,e1)
| spl0_45
| ~ spl0_110 ),
inference(superposition,[],[f519,f1033]) ).
fof(f5884,plain,
( ~ spl0_98
| ~ spl0_78
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f261,f873,f672,f786]) ).
fof(f261,plain,
( e2 != op(e1,e0)
| e0 != op(e3,e3)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f260]) ).
fof(f260,plain,
( e2 != op(op(e3,e0),e0)
| e0 != op(e3,e3)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f226]) ).
fof(f226,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f5851,plain,
( spl0_8
| spl0_5
| spl0_1
| spl0_4
| ~ spl0_102
| ~ spl0_105
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f5298,f1031,f975,f873,f312,f297,f317,f332]) ).
fof(f5298,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| ~ spl0_102
| ~ spl0_105
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4735,f875]) ).
fof(f4735,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl0_105
| ~ spl0_110 ),
inference(forward_demodulation,[],[f4588,f1033]) ).
fof(f4588,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f182,f976]) ).
fof(f5832,plain,
( spl0_80
| spl0_5
| spl0_4
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5808,f1095,f855,f677,f312,f317,f681]) ).
fof(f5808,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5807]) ).
fof(f5807,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3070,f857]) ).
fof(f5831,plain,
( ~ spl0_70
| spl0_44
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1321,f975,f512,f636]) ).
fof(f512,plain,
( spl0_44
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1321,plain,
( e3 != op(e1,e1)
| spl0_44
| ~ spl0_105 ),
inference(superposition,[],[f514,f976]) ).
fof(f514,plain,
( op(e1,e1) != op(e1,e2)
| spl0_44 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f5821,plain,
( spl0_78
| spl0_3
| spl0_2
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5806,f1095,f855,f677,f302,f307,f672]) ).
fof(f5806,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5805]) ).
fof(f5805,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_79
| ~ spl0_101
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3071,f857]) ).
fof(f3071,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1535,f678]) ).
fof(f1535,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f196,f1097]) ).
fof(f5802,plain,
( spl0_79
| spl0_10
| spl0_6
| ~ spl0_101
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5793,f1095,f855,f322,f342,f677]) ).
fof(f5793,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl0_101
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5792]) ).
fof(f5792,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl0_101
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1371,f857]) ).
fof(f1371,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f202,f1097]) ).
fof(f5791,plain,
( spl0_80
| spl0_1
| spl0_4
| ~ spl0_101
| ~ spl0_104
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5777,f1095,f935,f855,f312,f297,f681]) ).
fof(f5777,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl0_101
| ~ spl0_104
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5776]) ).
fof(f5776,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_101
| ~ spl0_104
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5775,f857]) ).
fof(f5775,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl0_104
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5774,f937]) ).
fof(f5774,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f198,f1097]) ).
fof(f5773,plain,
( spl0_79
| spl0_5
| spl0_6
| ~ spl0_80
| ~ spl0_101
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5709,f1095,f855,f681,f322,f317,f677]) ).
fof(f5709,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_101
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f5708]) ).
fof(f5708,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_101
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1292,f857]) ).
fof(f1292,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_80
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1127,f1097]) ).
fof(f5772,plain,
( ~ spl0_75
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f5510,f609,f659]) ).
fof(f5510,plain,
( e2 != op(e2,e3)
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f5439]) ).
fof(f5439,plain,
( e3 != e3
| e2 != op(e2,e3)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f152,f610]) ).
fof(f152,plain,
( op(e0,e0) != e3
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5703,plain,
( spl0_6
| ~ spl0_77
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f5500,f855,f668,f322]) ).
fof(f5500,plain,
( e2 = e3
| ~ spl0_77
| ~ spl0_101 ),
inference(forward_demodulation,[],[f669,f857]) ).
fof(f5508,plain,
( spl0_2
| ~ spl0_61
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1885,f749,f596,f302]) ).
fof(f1885,plain,
( e0 = e2
| ~ spl0_61
| ~ spl0_93 ),
inference(forward_demodulation,[],[f751,f597]) ).
fof(f5463,plain,
( ~ spl0_75
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f5440,f609,f659]) ).
fof(f5440,plain,
( e2 != op(e2,e3)
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f5439]) ).
fof(f5438,plain,
( spl0_81
| spl0_5
| spl0_6
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5382,f1046,f855,f690,f322,f317,f686]) ).
fof(f5382,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f5381]) ).
fof(f5381,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112 ),
inference(forward_demodulation,[],[f5380,f857]) ).
fof(f5380,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_112 ),
inference(forward_demodulation,[],[f5303,f1048]) ).
fof(f5433,plain,
( spl0_3
| spl0_5
| spl0_6
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f5423,f1470,f1046,f855,f690,f322,f317,f307]) ).
fof(f5423,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112
| ~ spl0_117 ),
inference(duplicate_literal_removal,[],[f5422]) ).
fof(f5422,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_82
| ~ spl0_101
| ~ spl0_112
| ~ spl0_117 ),
inference(forward_demodulation,[],[f5421,f857]) ).
fof(f5421,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_112
| ~ spl0_117 ),
inference(forward_demodulation,[],[f3433,f1048]) ).
fof(f3433,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_117 ),
inference(forward_demodulation,[],[f3432,f1471]) ).
fof(f3432,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f202,f691]) ).
fof(f5416,plain,
( spl0_117
| spl0_2
| spl0_3
| ~ spl0_76
| ~ spl0_93
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f5372,f975,f749,f663,f307,f302,f1470]) ).
fof(f5372,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl0_76
| ~ spl0_93
| ~ spl0_105 ),
inference(duplicate_literal_removal,[],[f5371]) ).
fof(f5371,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl0_76
| ~ spl0_93
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4212,f664]) ).
fof(f4212,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl0_93
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1448,f751]) ).
fof(f1448,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f189,f976]) ).
fof(f5354,plain,
( spl0_98
| spl0_5
| spl0_1
| spl0_4
| ~ spl0_64
| ~ spl0_84
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f5297,f873,f703,f609,f312,f297,f317,f786]) ).
fof(f5297,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| ~ spl0_64
| ~ spl0_84
| ~ spl0_102 ),
inference(forward_demodulation,[],[f5296,f875]) ).
fof(f5296,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl0_64
| ~ spl0_84 ),
inference(forward_demodulation,[],[f877,f705]) ).
fof(f877,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f175,f610]) ).
fof(f5348,plain,
( spl0_77
| spl0_6
| spl0_5
| ~ spl0_82
| ~ spl0_112
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4798,f1095,f1046,f690,f317,f322,f668]) ).
fof(f4798,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3690,f1048]) ).
fof(f3690,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f2710]) ).
fof(f2710,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1371,f691]) ).
fof(f5340,plain,
( ~ spl0_106
| ~ spl0_76
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f5328,f1031,f663,f986]) ).
fof(f5328,plain,
( e1 != op(e2,e3)
| ~ spl0_76
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f5327]) ).
fof(f5327,plain,
( e3 != e3
| e1 != op(e2,e3)
| ~ spl0_76
| ~ spl0_110 ),
inference(forward_demodulation,[],[f5242,f664]) ).
fof(f5242,plain,
( e3 != op(e2,e2)
| e1 != op(e2,e3)
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f5241]) ).
fof(f5241,plain,
( e0 != e0
| e3 != op(e2,e2)
| e1 != op(e2,e3)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f269,f1033]) ).
fof(f269,plain,
( e0 != op(e1,e3)
| e3 != op(e2,e2)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f268]) ).
fof(f268,plain,
( e0 != op(op(e2,e3),e3)
| e3 != op(e2,e2)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f230]) ).
fof(f230,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f5325,plain,
( spl0_5
| ~ spl0_106
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5315,f3745,f986,f317]) ).
fof(f5315,plain,
( e1 = e3
| ~ spl0_106
| ~ spl0_118 ),
inference(superposition,[],[f988,f3747]) ).
fof(f988,plain,
( e1 = op(e2,e3)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f5286,plain,
( spl0_111
| ~ spl0_79
| ~ spl0_106
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5250,f1046,f986,f677,f1042]) ).
fof(f5250,plain,
( e1 = op(e2,e1)
| ~ spl0_79
| ~ spl0_106
| ~ spl0_112 ),
inference(forward_demodulation,[],[f988,f5230]) ).
fof(f5230,plain,
( e1 = e3
| ~ spl0_79
| ~ spl0_112 ),
inference(superposition,[],[f1048,f678]) ).
fof(f5253,plain,
( spl0_3
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f5252,f663,f645,f307]) ).
fof(f5252,plain,
( e0 = e3
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_demodulation,[],[f664,f646]) ).
fof(f5238,plain,
( spl0_111
| spl0_106
| spl0_1
| ~ spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4455,f703,f645,f297,f986,f1042]) ).
fof(f4455,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl0_72
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f4454]) ).
fof(f4454,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl0_72
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1763,f646]) ).
fof(f5200,plain,
( spl0_8
| spl0_67
| spl0_1
| ~ spl0_83
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f5153,f1031,f699,f297,f623,f332]) ).
fof(f623,plain,
( spl0_67
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f5153,plain,
( e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| ~ spl0_83
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f5152]) ).
fof(f5152,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| ~ spl0_83
| ~ spl0_110 ),
inference(forward_demodulation,[],[f3205,f1033]) ).
fof(f5135,plain,
( spl0_4
| ~ spl0_82
| ~ spl0_88
| ~ spl0_114
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5133,f3745,f1078,f722,f690,f312]) ).
fof(f5133,plain,
( e1 = e2
| ~ spl0_82
| ~ spl0_88
| ~ spl0_114
| ~ spl0_118 ),
inference(forward_demodulation,[],[f5132,f5089]) ).
fof(f5089,plain,
( op(e0,e0) = e1
| ~ spl0_88
| ~ spl0_114
| ~ spl0_118 ),
inference(forward_demodulation,[],[f724,f5012]) ).
fof(f5132,plain,
( op(e0,e0) = e2
| ~ spl0_82
| ~ spl0_114
| ~ spl0_118 ),
inference(forward_demodulation,[],[f691,f5012]) ).
fof(f5021,plain,
( ~ spl0_80
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f4940,f587,f681]) ).
fof(f4940,plain,
( e1 != op(e3,e3)
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f4939]) ).
fof(f4939,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl0_59 ),
inference(forward_demodulation,[],[f115,f588]) ).
fof(f115,plain,
( e1 != op(e3,e3)
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f4997,plain,
( spl0_4
| ~ spl0_65
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4990,f873,f614,f312]) ).
fof(f4990,plain,
( e1 = e2
| ~ spl0_65
| ~ spl0_102 ),
inference(superposition,[],[f615,f875]) ).
fof(f4928,plain,
( spl0_9
| spl0_75
| spl0_4
| ~ spl0_97
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f4881,f1042,f782,f312,f659,f337]) ).
fof(f4881,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl0_97
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f4880]) ).
fof(f4880,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl0_97
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3346,f1044]) ).
fof(f3346,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_97 ),
inference(forward_demodulation,[],[f192,f784]) ).
fof(f4917,plain,
( spl0_118
| spl0_3
| spl0_5
| ~ spl0_72
| ~ spl0_97
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f4887,f1042,f782,f645,f317,f307,f3745]) ).
fof(f4887,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl0_72
| ~ spl0_97
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f4886]) ).
fof(f4886,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl0_72
| ~ spl0_97
| ~ spl0_111 ),
inference(forward_demodulation,[],[f4885,f784]) ).
fof(f4885,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl0_72
| ~ spl0_111 ),
inference(forward_demodulation,[],[f4601,f1044]) ).
fof(f4601,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl0_72 ),
inference(forward_demodulation,[],[f194,f646]) ).
fof(f4863,plain,
( spl0_10
| spl0_5
| spl0_3
| spl0_6
| ~ spl0_85
| ~ spl0_112
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4757,f1095,f1046,f707,f322,f307,f317,f342]) ).
fof(f4757,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl0_85
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f2595,f1097]) ).
fof(f2595,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl0_85
| ~ spl0_112 ),
inference(forward_demodulation,[],[f2594,f709]) ).
fof(f2594,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f202,f1048]) ).
fof(f4836,plain,
( ~ spl0_82
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f4789,f596,f690]) ).
fof(f4789,plain,
( e2 != op(e3,e3)
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f4788]) ).
fof(f4788,plain,
( e0 != e0
| e2 != op(e3,e3)
| ~ spl0_61 ),
inference(forward_demodulation,[],[f119,f597]) ).
fof(f119,plain,
( e2 != op(e3,e3)
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f4780,plain,
( spl0_82
| spl0_2
| spl0_6
| ~ spl0_99
| ~ spl0_110
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f4739,f1078,f1031,f799,f322,f302,f690]) ).
fof(f4739,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl0_99
| ~ spl0_110
| ~ spl0_114 ),
inference(forward_demodulation,[],[f4738,f801]) ).
fof(f4738,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl0_110
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f4737]) ).
fof(f4737,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl0_110
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3151,f1033]) ).
fof(f3151,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f201,f1080]) ).
fof(f4730,plain,
( spl0_68
| spl0_100
| spl0_6
| ~ spl0_105
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4704,f1011,f975,f322,f850,f627]) ).
fof(f4704,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl0_105
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f4703]) ).
fof(f4703,plain,
( e2 = e3
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4593,f1013]) ).
fof(f4729,plain,
( spl0_10
| spl0_5
| spl0_6
| ~ spl0_101
| ~ spl0_112
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4660,f1095,f1046,f855,f322,f317,f342]) ).
fof(f4660,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl0_101
| ~ spl0_112
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f4659]) ).
fof(f4659,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl0_101
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4649,f857]) ).
fof(f4649,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1371,f1048]) ).
fof(f4725,plain,
( spl0_96
| spl0_1
| spl0_5
| ~ spl0_61
| ~ spl0_72
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f4613,f975,f645,f596,f317,f297,f777]) ).
fof(f4613,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl0_61
| ~ spl0_72
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4612,f976]) ).
fof(f4612,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl0_61
| ~ spl0_72 ),
inference(duplicate_literal_removal,[],[f4611]) ).
fof(f4611,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl0_61
| ~ spl0_72 ),
inference(forward_demodulation,[],[f838,f646]) ).
fof(f838,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_61 ),
inference(forward_demodulation,[],[f191,f597]) ).
fof(f4701,plain,
( spl0_2
| spl0_6
| spl0_4
| ~ spl0_66
| ~ spl0_69
| ~ spl0_105
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4692,f1011,f975,f632,f618,f312,f322,f302]) ).
fof(f4692,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl0_66
| ~ spl0_69
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4596,f633]) ).
fof(f4596,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| ~ spl0_66
| ~ spl0_105
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f4595]) ).
fof(f4595,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl0_66
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4594,f1013]) ).
fof(f4594,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl0_66
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4593,f619]) ).
fof(f4686,plain,
( spl0_4
| ~ spl0_69
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f4532,f850,f632,f312]) ).
fof(f4532,plain,
( e1 = e2
| ~ spl0_69
| ~ spl0_100 ),
inference(forward_demodulation,[],[f851,f633]) ).
fof(f4684,plain,
( spl0_69
| spl0_1
| spl0_5
| ~ spl0_66
| ~ spl0_105
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4591,f1011,f975,f618,f317,f297,f632]) ).
fof(f4591,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e3)
| ~ spl0_66
| ~ spl0_105
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f4590]) ).
fof(f4590,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| ~ spl0_66
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_demodulation,[],[f4589,f1013]) ).
fof(f4589,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl0_66
| ~ spl0_105 ),
inference(forward_demodulation,[],[f4588,f619]) ).
fof(f4657,plain,
( spl0_5
| ~ spl0_60
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f4656,f609,f591,f317]) ).
fof(f4656,plain,
( e1 = e3
| ~ spl0_60
| ~ spl0_64 ),
inference(forward_demodulation,[],[f610,f592]) ).
fof(f4644,plain,
( spl0_6
| ~ spl0_94
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4642,f799,f753,f322]) ).
fof(f4642,plain,
( e2 = e3
| ~ spl0_94
| ~ spl0_99 ),
inference(forward_demodulation,[],[f801,f755]) ).
fof(f4639,plain,
( ~ spl0_73
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f4196,f591,f650]) ).
fof(f4196,plain,
( e2 != op(e2,e1)
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f4195]) ).
fof(f4195,plain,
( e1 != e1
| e2 != op(e2,e1)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f144,f592]) ).
fof(f4582,plain,
( spl0_4
| ~ spl0_96
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f3931,f1095,f777,f312]) ).
fof(f3931,plain,
( e1 = e2
| ~ spl0_96
| ~ spl0_116 ),
inference(superposition,[],[f778,f1097]) ).
fof(f4534,plain,
( ~ spl0_69
| spl0_75
| ~ spl0_96
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4525,f1095,f777,f659,f632]) ).
fof(f4525,plain,
( e1 != op(e1,e3)
| spl0_75
| ~ spl0_96
| ~ spl0_116 ),
inference(forward_demodulation,[],[f661,f3931]) ).
fof(f661,plain,
( e2 != op(e2,e3)
| spl0_75 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f4526,plain,
( spl0_80
| ~ spl0_82
| ~ spl0_96
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4524,f1095,f777,f690,f681]) ).
fof(f4524,plain,
( e1 = op(e3,e3)
| ~ spl0_82
| ~ spl0_96
| ~ spl0_116 ),
inference(forward_demodulation,[],[f691,f3931]) ).
fof(f4462,plain,
( spl0_90
| spl0_6
| spl0_3
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4453,f703,f659,f645,f307,f322,f735]) ).
fof(f4453,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f4452]) ).
fof(f4452,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_demodulation,[],[f4006,f646]) ).
fof(f4458,plain,
( spl0_96
| spl0_1
| spl0_5
| ~ spl0_72
| ~ spl0_95
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f4304,f975,f773,f645,f317,f297,f777]) ).
fof(f4304,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl0_72
| ~ spl0_95
| ~ spl0_105 ),
inference(duplicate_literal_removal,[],[f2662]) ).
fof(f2662,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl0_72
| ~ spl0_95
| ~ spl0_105 ),
inference(forward_demodulation,[],[f2661,f774]) ).
fof(f2661,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl0_72
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1291,f646]) ).
fof(f1291,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f191,f976]) ).
fof(f4448,plain,
( spl0_6
| spl0_3
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f4371,f931,f703,f659,f645,f307,f322]) ).
fof(f4371,plain,
( e0 = e3
| e2 = e3
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f4370]) ).
fof(f4370,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| ~ spl0_72
| ~ spl0_75
| ~ spl0_84
| ~ spl0_103 ),
inference(forward_demodulation,[],[f4369,f705]) ).
fof(f4369,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl0_72
| ~ spl0_75
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f4368]) ).
fof(f4368,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl0_72
| ~ spl0_75
| ~ spl0_103 ),
inference(forward_demodulation,[],[f4367,f646]) ).
fof(f4367,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_75
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2121,f660]) ).
fof(f4447,plain,
( ~ spl0_77
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4303,f645,f668]) ).
fof(f4303,plain,
( e3 != op(e3,e0)
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f2656]) ).
fof(f2656,plain,
( e0 != e0
| e3 != op(e3,e0)
| ~ spl0_72 ),
inference(forward_demodulation,[],[f158,f646]) ).
fof(f4423,plain,
( spl0_5
| ~ spl0_67
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f4393,f975,f623,f317]) ).
fof(f4393,plain,
( e1 = e3
| ~ spl0_67
| ~ spl0_105 ),
inference(superposition,[],[f624,f976]) ).
fof(f624,plain,
( e1 = op(e1,e2)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f4352,plain,
( spl0_3
| ~ spl0_83
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4324,f1011,f699,f307]) ).
fof(f4324,plain,
( e0 = e3
| ~ spl0_83
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1013,f701]) ).
fof(f4302,plain,
( spl0_5
| ~ spl0_86
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f4111,f740,f714,f317]) ).
fof(f740,plain,
( spl0_91
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f4111,plain,
( e1 = e3
| ~ spl0_86
| ~ spl0_91 ),
inference(superposition,[],[f741,f716]) ).
fof(f741,plain,
( e3 = op(e0,e1)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f4241,plain,
( spl0_2
| ~ spl0_73
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f2503,f931,f650,f302]) ).
fof(f2503,plain,
( e0 = e2
| ~ spl0_73
| ~ spl0_103 ),
inference(superposition,[],[f933,f651]) ).
fof(f4187,plain,
( spl0_67
| ~ spl0_86
| ~ spl0_91
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f4181,f975,f740,f714,f623]) ).
fof(f4181,plain,
( e1 = op(e1,e2)
| ~ spl0_86
| ~ spl0_91
| ~ spl0_105 ),
inference(forward_demodulation,[],[f976,f4111]) ).
fof(f4131,plain,
( ~ spl0_81
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f4018,f627,f686]) ).
fof(f4018,plain,
( e3 != op(e3,e2)
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f1109]) ).
fof(f1109,plain,
( e2 != e2
| e3 != op(e3,e2)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f165,f628]) ).
fof(f628,plain,
( e2 = op(e1,e1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f165,plain,
( e2 != op(e1,e1)
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f4072,plain,
( spl0_3
| ~ spl0_81
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f4016,f1470,f686,f307]) ).
fof(f4016,plain,
( e0 = e3
| ~ spl0_81
| ~ spl0_117 ),
inference(forward_demodulation,[],[f687,f1471]) ).
fof(f4017,plain,
( spl0_3
| ~ spl0_63
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4014,f799,f605,f307]) ).
fof(f4014,plain,
( e0 = e3
| ~ spl0_63
| ~ spl0_99 ),
inference(forward_demodulation,[],[f801,f606]) ).
fof(f3996,plain,
( spl0_76
| spl0_3
| spl0_6
| spl0_5
| ~ spl0_75
| ~ spl0_84
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3835,f1042,f703,f659,f317,f322,f307,f663]) ).
fof(f3835,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_75
| ~ spl0_84
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3615,f1044]) ).
fof(f3615,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1761,f660]) ).
fof(f1761,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_84 ),
inference(forward_demodulation,[],[f194,f705]) ).
fof(f3992,plain,
( spl0_70
| spl0_5
| spl0_6
| ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3983,f1042,f744,f731,f322,f317,f636]) ).
fof(f3983,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f3982]) ).
fof(f3982,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3872,f732]) ).
fof(f3872,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_92
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3800,f1044]) ).
fof(f3800,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f187,f745]) ).
fof(f3980,plain,
( spl0_92
| spl0_4
| spl0_6
| ~ spl0_77
| ~ spl0_80
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f3958,f777,f681,f668,f322,f312,f744]) ).
fof(f3958,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl0_77
| ~ spl0_80
| ~ spl0_96 ),
inference(forward_demodulation,[],[f3957,f669]) ).
fof(f3957,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl0_80
| ~ spl0_96 ),
inference(duplicate_literal_removal,[],[f3956]) ).
fof(f3956,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl0_80
| ~ spl0_96 ),
inference(forward_demodulation,[],[f3955,f778]) ).
fof(f3955,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl0_80 ),
inference(forward_demodulation,[],[f200,f682]) ).
fof(f3978,plain,
( ~ spl0_62
| spl0_35
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2225,f731,f467,f600]) ).
fof(f600,plain,
( spl0_62
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f467,plain,
( spl0_35
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2225,plain,
( op(e0,e0) != e2
| spl0_35
| ~ spl0_89 ),
inference(superposition,[],[f469,f732]) ).
fof(f469,plain,
( op(e0,e0) != op(e0,e1)
| spl0_35 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f3973,plain,
( ~ spl0_77
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f157,f618,f668]) ).
fof(f157,plain,
( e0 != op(e1,e1)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3943,plain,
( ~ spl0_80
| ~ spl0_89
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f3940,f935,f731,f681]) ).
fof(f3940,plain,
( e1 != op(e3,e3)
| ~ spl0_89
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f3939]) ).
fof(f3939,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl0_89
| ~ spl0_104 ),
inference(forward_demodulation,[],[f3938,f937]) ).
fof(f3938,plain,
( e1 != op(e3,e3)
| e0 != op(e3,e1)
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3937]) ).
fof(f3937,plain,
( e2 != e2
| e1 != op(e3,e3)
| e0 != op(e3,e1)
| ~ spl0_89 ),
inference(forward_demodulation,[],[f249,f732]) ).
fof(f249,plain,
( e2 != op(e0,e1)
| e1 != op(e3,e3)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f248]) ).
fof(f248,plain,
( e2 != op(op(e3,e1),e1)
| e1 != op(e3,e3)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f220]) ).
fof(f220,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f3935,plain,
( spl0_2
| ~ spl0_92
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f3895,f935,f744,f302]) ).
fof(f3895,plain,
( e0 = e2
| ~ spl0_92
| ~ spl0_104 ),
inference(superposition,[],[f937,f745]) ).
fof(f3869,plain,
( spl0_6
| ~ spl0_75
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f3851,f3745,f659,f322]) ).
fof(f3851,plain,
( e2 = e3
| ~ spl0_75
| ~ spl0_118 ),
inference(superposition,[],[f660,f3747]) ).
fof(f3790,plain,
( spl0_117
| spl0_78
| spl0_1
| spl0_3
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3778,f1046,f668,f307,f297,f672,f1470]) ).
fof(f3778,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl0_77
| ~ spl0_112 ),
inference(forward_demodulation,[],[f2803,f669]) ).
fof(f2803,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f196,f1048]) ).
fof(f3766,plain,
( spl0_9
| spl0_75
| spl0_4
| spl0_2
| ~ spl0_84
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2836,f1042,f703,f302,f312,f659,f337]) ).
fof(f2836,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl0_84
| ~ spl0_111 ),
inference(forward_demodulation,[],[f2249,f705]) ).
fof(f2249,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl0_111 ),
inference(forward_demodulation,[],[f192,f1044]) ).
fof(f3764,plain,
( ~ spl0_109
| spl0_46
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1840,f1031,f522,f1027]) ).
fof(f522,plain,
( spl0_46
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1840,plain,
( e0 != op(e1,e2)
| spl0_46
| ~ spl0_110 ),
inference(superposition,[],[f524,f1033]) ).
fof(f524,plain,
( op(e1,e2) != op(e1,e3)
| spl0_46 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f3756,plain,
( spl0_92
| spl0_6
| spl0_4
| spl0_2
| ~ spl0_59
| ~ spl0_70
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3739,f1042,f636,f587,f302,f312,f322,f744]) ).
fof(f3739,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl0_59
| ~ spl0_70
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3738,f588]) ).
fof(f3738,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl0_70
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3272,f1044]) ).
fof(f3748,plain,
( spl0_118
| spl0_6
| spl0_3
| spl0_5
| ~ spl0_82
| ~ spl0_88
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f3710,f1031,f722,f690,f317,f307,f322,f3745]) ).
fof(f3710,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl0_82
| ~ spl0_88
| ~ spl0_110 ),
inference(forward_demodulation,[],[f3709,f724]) ).
fof(f3709,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_82
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2968,f1033]) ).
fof(f3736,plain,
( spl0_89
| spl0_6
| spl0_2
| spl0_4
| ~ spl0_70
| ~ spl0_104
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3656,f1042,f935,f636,f312,f302,f322,f731]) ).
fof(f3656,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e1)
| ~ spl0_70
| ~ spl0_104
| ~ spl0_111 ),
inference(forward_demodulation,[],[f3655,f1044]) ).
fof(f3655,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl0_70
| ~ spl0_104 ),
inference(forward_demodulation,[],[f3272,f937]) ).
fof(f3733,plain,
( spl0_80
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_77
| ~ spl0_104
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f3628,f1095,f935,f668,f297,f317,f312,f681]) ).
fof(f3628,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_77
| ~ spl0_104
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3144,f937]) ).
fof(f3144,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl0_77
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3075,f669]) ).
fof(f3727,plain,
( spl0_115
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_65
| ~ spl0_70
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1431,f1031,f636,f614,f322,f312,f302,f1091]) ).
fof(f1431,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl0_65
| ~ spl0_70
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1365,f637]) ).
fof(f1365,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl0_65
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1364,f615]) ).
fof(f1364,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f184,f1033]) ).
fof(f3725,plain,
( ~ spl0_63
| spl0_29
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1035,f1031,f437,f605]) ).
fof(f1035,plain,
( e0 != op(e0,e3)
| spl0_29
| ~ spl0_110 ),
inference(superposition,[],[f439,f1033]) ).
fof(f3687,plain,
( ~ spl0_75
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f153,f636,f659]) ).
fof(f153,plain,
( e3 != op(e1,e1)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3622,plain,
( spl0_74
| spl0_96
| spl0_1
| spl0_5
| ~ spl0_95
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f3527,f1027,f773,f317,f297,f777,f654]) ).
fof(f3527,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl0_95
| ~ spl0_109 ),
inference(forward_demodulation,[],[f1719,f774]) ).
fof(f1719,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl0_109 ),
inference(forward_demodulation,[],[f191,f1029]) ).
fof(f3618,plain,
( spl0_90
| spl0_3
| spl0_6
| spl0_5
| ~ spl0_74
| ~ spl0_75
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f3609,f703,f659,f654,f317,f322,f307,f735]) ).
fof(f3609,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl0_74
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_demodulation,[],[f2211,f655]) ).
fof(f2211,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1761,f660]) ).
fof(f3608,plain,
( ~ spl0_104
| ~ spl0_74
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f3600,f735,f654,f935]) ).
fof(f3600,plain,
( e0 != op(e3,e1)
| ~ spl0_74
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f3599]) ).
fof(f3599,plain,
( e3 != e3
| e0 != op(e3,e1)
| ~ spl0_74
| ~ spl0_90 ),
inference(forward_demodulation,[],[f3598,f736]) ).
fof(f3598,plain,
( e0 != op(e3,e1)
| e3 != op(e2,e1)
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3597]) ).
fof(f3597,plain,
( e1 != e1
| e0 != op(e3,e1)
| e3 != op(e2,e1)
| ~ spl0_74 ),
inference(forward_demodulation,[],[f271,f655]) ).
fof(f271,plain,
( e0 != op(e3,e1)
| e1 != op(e2,e2)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f270]) ).
fof(f270,plain,
( e0 != op(op(e2,e1),e1)
| e1 != op(e2,e2)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f231]) ).
fof(f231,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f3596,plain,
( spl0_104
| spl0_78
| spl0_2
| spl0_3
| ~ spl0_77
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f3143,f1095,f668,f307,f302,f672,f935]) ).
fof(f3143,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl0_77
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3077,f669]) ).
fof(f3585,plain,
( spl0_74
| spl0_106
| spl0_1
| spl0_5
| ~ spl0_84
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2821,f735,f703,f317,f297,f986,f654]) ).
fof(f2821,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl0_84
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1763,f736]) ).
fof(f3583,plain,
( ~ spl0_83
| spl0_42
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1493,f1027,f502,f699]) ).
fof(f1493,plain,
( e0 != op(e1,e0)
| spl0_42
| ~ spl0_109 ),
inference(superposition,[],[f504,f1029]) ).
fof(f3549,plain,
( spl0_9
| spl0_2
| spl0_6
| spl0_4
| ~ spl0_84
| ~ spl0_90
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3537,f986,f735,f703,f312,f322,f302,f337]) ).
fof(f3537,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e2)
| ~ spl0_84
| ~ spl0_90
| ~ spl0_106 ),
inference(forward_demodulation,[],[f2820,f988]) ).
fof(f2820,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl0_84
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1762,f736]) ).
fof(f1762,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_84 ),
inference(forward_demodulation,[],[f192,f705]) ).
fof(f3536,plain,
( spl0_90
| spl0_76
| spl0_3
| spl0_5
| ~ spl0_84
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f2311,f986,f703,f317,f307,f663,f735]) ).
fof(f2311,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_84
| ~ spl0_106 ),
inference(forward_demodulation,[],[f1761,f988]) ).
fof(f3534,plain,
( ~ spl0_91
| spl0_38
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1317,f773,f482,f740]) ).
fof(f482,plain,
( spl0_38
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1317,plain,
( e3 != op(e0,e1)
| spl0_38
| ~ spl0_95 ),
inference(superposition,[],[f484,f774]) ).
fof(f484,plain,
( op(e0,e1) != op(e0,e2)
| spl0_38 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f3529,plain,
( spl0_76
| spl0_5
| spl0_3
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3524,f986,f931,f703,f307,f317,f663]) ).
fof(f3524,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f3523]) ).
fof(f3523,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(forward_demodulation,[],[f3497,f933]) ).
fof(f3497,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl0_84
| ~ spl0_106 ),
inference(forward_demodulation,[],[f1761,f988]) ).
fof(f3522,plain,
( spl0_4
| spl0_2
| ~ spl0_74
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3485,f986,f931,f703,f654,f302,f312]) ).
fof(f3485,plain,
( e0 = e2
| e1 = e2
| ~ spl0_74
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f3484]) ).
fof(f3484,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| ~ spl0_74
| ~ spl0_84
| ~ spl0_103
| ~ spl0_106 ),
inference(forward_demodulation,[],[f3483,f933]) ).
fof(f3483,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl0_74
| ~ spl0_84
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f3482]) ).
fof(f3482,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl0_74
| ~ spl0_84
| ~ spl0_106 ),
inference(forward_demodulation,[],[f2752,f655]) ).
fof(f2752,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_84
| ~ spl0_106 ),
inference(forward_demodulation,[],[f1762,f988]) ).
fof(f3471,plain,
( spl0_9
| spl0_6
| spl0_4
| spl0_2
| ~ spl0_103
| ~ spl0_106
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f3441,f1015,f986,f931,f302,f312,f322,f337]) ).
fof(f3441,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl0_103
| ~ spl0_106
| ~ spl0_108 ),
inference(forward_demodulation,[],[f2734,f933]) ).
fof(f2734,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_106
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1435,f988]) ).
fof(f1435,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_108 ),
inference(forward_demodulation,[],[f192,f1017]) ).
fof(f3463,plain,
( spl0_74
| spl0_5
| spl0_4
| spl0_1
| ~ spl0_95
| ~ spl0_115
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3353,f1470,f1091,f773,f297,f312,f317,f654]) ).
fof(f3353,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e2)
| ~ spl0_95
| ~ spl0_115
| ~ spl0_117 ),
inference(forward_demodulation,[],[f2962,f1471]) ).
fof(f2962,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl0_95
| ~ spl0_115 ),
inference(forward_demodulation,[],[f1780,f1093]) ).
fof(f1780,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f191,f774]) ).
fof(f3431,plain,
( ~ spl0_76
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f3422,f605,f663]) ).
fof(f3422,plain,
( e3 != op(e2,e2)
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3421]) ).
fof(f3421,plain,
( e0 != e0
| e3 != op(e2,e2)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f122,f606]) ).
fof(f122,plain,
( e3 != op(e2,e2)
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3420,plain,
( spl0_76
| spl0_3
| spl0_5
| ~ spl0_97
| ~ spl0_103
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f2476,f986,f931,f782,f317,f307,f663]) ).
fof(f2476,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_97
| ~ spl0_103
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f2475]) ).
fof(f2475,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl0_97
| ~ spl0_103
| ~ spl0_106 ),
inference(forward_demodulation,[],[f2474,f784]) ).
fof(f2474,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl0_103
| ~ spl0_106 ),
inference(forward_demodulation,[],[f2121,f988]) ).
fof(f3407,plain,
( ~ spl0_70
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f3343,f605,f636]) ).
fof(f3343,plain,
( e3 != op(e1,e1)
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3342]) ).
fof(f3342,plain,
( e0 != e0
| e3 != op(e1,e1)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f121,f606]) ).
fof(f121,plain,
( e3 != op(e1,e1)
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3337,plain,
( spl0_2
| ~ spl0_116
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3294,f1470,f1095,f302]) ).
fof(f3294,plain,
( e0 = e2
| ~ spl0_116
| ~ spl0_117 ),
inference(superposition,[],[f1471,f1097]) ).
fof(f3303,plain,
( spl0_5
| spl0_6
| spl0_3
| ~ spl0_63
| ~ spl0_80
| ~ spl0_100
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f3244,f1078,f850,f681,f605,f307,f322,f317]) ).
fof(f3244,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_63
| ~ spl0_80
| ~ spl0_100
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f3243]) ).
fof(f3243,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl0_63
| ~ spl0_80
| ~ spl0_100
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3242,f606]) ).
fof(f3242,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl0_80
| ~ spl0_100
| ~ spl0_114 ),
inference(forward_demodulation,[],[f3241,f851]) ).
fof(f3241,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_80
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1172,f1080]) ).
fof(f1172,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_80 ),
inference(forward_demodulation,[],[f203,f682]) ).
fof(f3276,plain,
( ~ spl0_114
| ~ spl0_70
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f3259,f850,f636,f1078]) ).
fof(f3259,plain,
( e0 != op(e2,e3)
| ~ spl0_70
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f3258]) ).
fof(f3258,plain,
( e2 != e2
| e0 != op(e2,e3)
| ~ spl0_70
| ~ spl0_100 ),
inference(forward_demodulation,[],[f3257,f851]) ).
fof(f3257,plain,
( e0 != op(e2,e3)
| e2 != op(e1,e3)
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f3256]) ).
fof(f3256,plain,
( e3 != e3
| e0 != op(e2,e3)
| e2 != op(e1,e3)
| ~ spl0_70 ),
inference(forward_demodulation,[],[f281,f637]) ).
fof(f281,plain,
( e0 != op(e2,e3)
| e3 != op(e1,e1)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f280]) ).
fof(f280,plain,
( e0 != op(op(e1,e3),e3)
| e3 != op(e1,e1)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f236]) ).
fof(f236,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f3271,plain,
( ~ spl0_80
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f3203,f650,f681]) ).
fof(f3203,plain,
( e1 != op(e3,e3)
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3202]) ).
fof(f3202,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl0_73 ),
inference(forward_demodulation,[],[f147,f651]) ).
fof(f147,plain,
( e1 != op(e3,e3)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3253,plain,
( spl0_3
| ~ spl0_66
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f3252,f636,f618,f307]) ).
fof(f3252,plain,
( e0 = e3
| ~ spl0_66
| ~ spl0_70 ),
inference(forward_demodulation,[],[f637,f619]) ).
fof(f3234,plain,
( spl0_6
| ~ spl0_100
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3162,f1058,f850,f322]) ).
fof(f3162,plain,
( e2 = e3
| ~ spl0_100
| ~ spl0_113 ),
inference(superposition,[],[f851,f1060]) ).
fof(f3221,plain,
( spl0_2
| ~ spl0_75
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f3220,f1078,f659,f302]) ).
fof(f3220,plain,
( e0 = e2
| ~ spl0_75
| ~ spl0_114 ),
inference(forward_demodulation,[],[f660,f1080]) ).
fof(f3200,plain,
( spl0_66
| spl0_103
| spl0_1
| ~ spl0_86
| ~ spl0_100
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3184,f1058,f850,f714,f297,f931,f618]) ).
fof(f3184,plain,
( e0 = e1
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl0_86
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3183,f716]) ).
fof(f3183,plain,
( e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(duplicate_literal_removal,[],[f3182]) ).
fof(f3182,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f181,f3162]) ).
fof(f3191,plain,
( spl0_73
| spl0_68
| spl0_4
| ~ spl0_86
| ~ spl0_100
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3178,f1058,f850,f714,f312,f627,f650]) ).
fof(f3178,plain,
( e1 = e2
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| ~ spl0_86
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3177,f3162]) ).
fof(f3177,plain,
( e1 = e3
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| ~ spl0_86
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3176,f716]) ).
fof(f3176,plain,
( e2 = op(e1,e1)
| e2 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3175,f3162]) ).
fof(f3175,plain,
( e2 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(duplicate_literal_removal,[],[f3174]) ).
fof(f3174,plain,
( e2 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f3173,f3162]) ).
fof(f3173,plain,
( e2 = op(e2,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_100
| ~ spl0_113 ),
inference(forward_demodulation,[],[f187,f3162]) ).
fof(f3169,plain,
( spl0_67
| spl0_69
| spl0_4
| spl0_1
| ~ spl0_68
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f3016,f699,f627,f297,f312,f632,f623]) ).
fof(f3016,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| ~ spl0_68
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1778,f701]) ).
fof(f1778,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f182,f628]) ).
fof(f3136,plain,
( spl0_5
| ~ spl0_69
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3125,f1058,f632,f317]) ).
fof(f3125,plain,
( e1 = e3
| ~ spl0_69
| ~ spl0_113 ),
inference(superposition,[],[f633,f1060]) ).
fof(f3106,plain,
( spl0_4
| ~ spl0_71
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f3105,f782,f641,f312]) ).
fof(f3105,plain,
( e1 = e2
| ~ spl0_71
| ~ spl0_97 ),
inference(forward_demodulation,[],[f642,f784]) ).
fof(f3104,plain,
( spl0_71
| spl0_9
| spl0_2
| spl0_4
| ~ spl0_111
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2971,f1078,f1042,f312,f302,f337,f641]) ).
fof(f2971,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl0_111
| ~ spl0_114 ),
inference(forward_demodulation,[],[f2571,f1044]) ).
fof(f2571,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f192,f1080]) ).
fof(f3069,plain,
( spl0_84
| ~ spl0_103
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3067,f1042,f931,f703]) ).
fof(f3067,plain,
( e0 = op(e2,e0)
| ~ spl0_103
| ~ spl0_111 ),
inference(forward_demodulation,[],[f933,f1082]) ).
fof(f1082,plain,
( e0 = e1
| ~ spl0_103
| ~ spl0_111 ),
inference(superposition,[],[f933,f1044]) ).
fof(f3049,plain,
( spl0_9
| spl0_6
| spl0_2
| spl0_4
| ~ spl0_108
| ~ spl0_111
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2974,f1078,f1042,f1015,f312,f302,f322,f337]) ).
fof(f2974,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl0_108
| ~ spl0_111
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1512,f1044]) ).
fof(f1512,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl0_108
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1435,f1080]) ).
fof(f3035,plain,
( spl0_79
| spl0_6
| spl0_5
| ~ spl0_82
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f3017,f1095,f786,f690,f317,f322,f677]) ).
fof(f3017,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl0_82
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f2711,f788]) ).
fof(f2711,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl0_82
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f2710]) ).
fof(f3013,plain,
( spl0_69
| spl0_4
| spl0_1
| ~ spl0_68
| ~ spl0_83
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2967,f1091,f699,f627,f297,f312,f632]) ).
fof(f2967,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl0_68
| ~ spl0_83
| ~ spl0_115 ),
inference(forward_demodulation,[],[f2966,f701]) ).
fof(f2966,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl0_68
| ~ spl0_115 ),
inference(duplicate_literal_removal,[],[f2965]) ).
fof(f2965,plain,
( e1 = e2
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl0_68
| ~ spl0_115 ),
inference(forward_demodulation,[],[f1778,f1093]) ).
fof(f3011,plain,
( ~ spl0_89
| spl0_17
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f983,f627,f377,f731]) ).
fof(f983,plain,
( e2 != op(e0,e1)
| spl0_17
| ~ spl0_68 ),
inference(superposition,[],[f379,f628]) ).
fof(f2957,plain,
( spl0_5
| ~ spl0_77
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f2906,f786,f668,f317]) ).
fof(f2906,plain,
( e1 = e3
| ~ spl0_77
| ~ spl0_98 ),
inference(forward_demodulation,[],[f669,f788]) ).
fof(f2915,plain,
( spl0_5
| ~ spl0_90
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2846,f1042,f735,f317]) ).
fof(f2846,plain,
( e1 = e3
| ~ spl0_90
| ~ spl0_111 ),
inference(superposition,[],[f1044,f736]) ).
fof(f2908,plain,
( spl0_1
| ~ spl0_65
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2907,f699,f614,f297]) ).
fof(f2907,plain,
( e0 = e1
| ~ spl0_65
| ~ spl0_83 ),
inference(forward_demodulation,[],[f615,f701]) ).
fof(f2867,plain,
( spl0_65
| spl0_67
| spl0_1
| spl0_4
| ~ spl0_68
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1827,f1031,f627,f312,f297,f623,f614]) ).
fof(f1827,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl0_68
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1527,f628]) ).
fof(f1527,plain,
( e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f182,f1033]) ).
fof(f2855,plain,
( spl0_75
| spl0_82
| spl0_2
| spl0_4
| ~ spl0_88
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1368,f1031,f722,f312,f302,f690,f659]) ).
fof(f1368,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl0_88
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1367,f724]) ).
fof(f1367,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f201,f1033]) ).
fof(f2827,plain,
( spl0_81
| spl0_10
| spl0_5
| ~ spl0_98
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2800,f1046,f786,f317,f342,f686]) ).
fof(f2800,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl0_98
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f2799]) ).
fof(f2799,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl0_98
| ~ spl0_112 ),
inference(forward_demodulation,[],[f2594,f788]) ).
fof(f2812,plain,
( spl0_82
| spl0_4
| spl0_2
| ~ spl0_88
| ~ spl0_106
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2787,f1031,f986,f722,f302,f312,f690]) ).
fof(f2787,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl0_88
| ~ spl0_106
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2786,f1033]) ).
fof(f2786,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl0_88
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f2785]) ).
fof(f2785,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl0_88
| ~ spl0_106 ),
inference(forward_demodulation,[],[f1774,f988]) ).
fof(f2798,plain,
( spl0_78
| spl0_2
| spl0_1
| ~ spl0_98
| ~ spl0_112
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f2750,f1095,f1046,f786,f297,f302,f672]) ).
fof(f2750,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_98
| ~ spl0_112
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f2749]) ).
fof(f2749,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl0_98
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f2183,f1048]) ).
fof(f2183,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1535,f788]) ).
fof(f2775,plain,
( spl0_3
| spl0_6
| spl0_5
| ~ spl0_63
| ~ spl0_82
| ~ spl0_106
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2730,f1031,f986,f690,f605,f317,f322,f307]) ).
fof(f2730,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl0_63
| ~ spl0_82
| ~ spl0_106
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2729,f988]) ).
fof(f2729,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl0_63
| ~ spl0_82
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2585,f691]) ).
fof(f2585,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl0_63
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f2584]) ).
fof(f2584,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl0_63
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1369,f606]) ).
fof(f1369,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_110 ),
inference(forward_demodulation,[],[f203,f1033]) ).
fof(f2738,plain,
( spl0_5
| ~ spl0_97
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f2736,f1015,f782,f317]) ).
fof(f2736,plain,
( e1 = e3
| ~ spl0_97
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1017,f784]) ).
fof(f2708,plain,
( spl0_3
| ~ spl0_77
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2665,f707,f668,f307]) ).
fof(f2665,plain,
( e0 = e3
| ~ spl0_77
| ~ spl0_85 ),
inference(forward_demodulation,[],[f669,f709]) ).
fof(f2666,plain,
( spl0_6
| ~ spl0_105
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2664,f1091,f975,f322]) ).
fof(f2664,plain,
( e2 = e3
| ~ spl0_105
| ~ spl0_115 ),
inference(forward_demodulation,[],[f976,f1093]) ).
fof(f2652,plain,
( ~ spl0_72
| ~ spl0_97
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2581,f1011,f782,f645]) ).
fof(f2581,plain,
( e0 != op(e2,e2)
| ~ spl0_97
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f2580]) ).
fof(f2580,plain,
( e1 != e1
| e0 != op(e2,e2)
| ~ spl0_97
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2579,f784]) ).
fof(f2579,plain,
( e0 != op(e2,e2)
| e1 != op(e2,e0)
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f2578]) ).
fof(f2578,plain,
( e3 != e3
| e0 != op(e2,e2)
| e1 != op(e2,e0)
| ~ spl0_107 ),
inference(forward_demodulation,[],[f263,f1013]) ).
fof(f263,plain,
( e3 != op(e1,e0)
| e0 != op(e2,e2)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f262]) ).
fof(f262,plain,
( e3 != op(op(e2,e0),e0)
| e0 != op(e2,e2)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f227]) ).
fof(f227,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f2651,plain,
( ~ spl0_81
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2460,f600,f686]) ).
fof(f2460,plain,
( e3 != op(e3,e2)
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1112]) ).
fof(f1112,plain,
( e2 != e2
| e3 != op(e3,e2)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f164,f601]) ).
fof(f601,plain,
( op(e0,e0) = e2
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f164,plain,
( op(e0,e0) != e2
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f2604,plain,
( spl0_4
| ~ spl0_75
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f2601,f986,f659,f312]) ).
fof(f2601,plain,
( e1 = e2
| ~ spl0_75
| ~ spl0_106 ),
inference(forward_demodulation,[],[f660,f988]) ).
fof(f2576,plain,
( spl0_1
| ~ spl0_69
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2575,f1031,f632,f297]) ).
fof(f2575,plain,
( e0 = e1
| ~ spl0_69
| ~ spl0_110 ),
inference(forward_demodulation,[],[f633,f1033]) ).
fof(f2565,plain,
( spl0_1
| ~ spl0_106
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2432,f1078,f986,f297]) ).
fof(f2432,plain,
( e0 = e1
| ~ spl0_106
| ~ spl0_114 ),
inference(superposition,[],[f1080,f988]) ).
fof(f2525,plain,
( spl0_7
| ~ spl0_63
| ~ spl0_90
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f2511,f931,f735,f605,f327]) ).
fof(f327,plain,
( spl0_7
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2511,plain,
( e0 = op(e0,e0)
| ~ spl0_63
| ~ spl0_90
| ~ spl0_103 ),
inference(forward_demodulation,[],[f606,f2502]) ).
fof(f2502,plain,
( e0 = e3
| ~ spl0_90
| ~ spl0_103 ),
inference(superposition,[],[f933,f736]) ).
fof(f2510,plain,
( spl0_61
| ~ spl0_63
| ~ spl0_73
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2492,f735,f650,f605,f596]) ).
fof(f2492,plain,
( e0 = op(e0,e2)
| ~ spl0_63
| ~ spl0_73
| ~ spl0_90 ),
inference(forward_demodulation,[],[f606,f2417]) ).
fof(f2417,plain,
( e2 = e3
| ~ spl0_73
| ~ spl0_90 ),
inference(superposition,[],[f651,f736]) ).
fof(f2458,plain,
( spl0_3
| ~ spl0_61
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1831,f773,f596,f307]) ).
fof(f1831,plain,
( e0 = e3
| ~ spl0_61
| ~ spl0_95 ),
inference(superposition,[],[f597,f774]) ).
fof(f2440,plain,
( spl0_84
| ~ spl0_61
| ~ spl0_95
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1945,f1078,f773,f596,f703]) ).
fof(f1945,plain,
( e0 = op(e2,e0)
| ~ spl0_61
| ~ spl0_95
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1080,f1831]) ).
fof(f2354,plain,
( spl0_5
| ~ spl0_87
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1645,f773,f718,f317]) ).
fof(f1645,plain,
( e1 = e3
| ~ spl0_87
| ~ spl0_95 ),
inference(superposition,[],[f720,f774]) ).
fof(f2302,plain,
( ~ spl0_79
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f2293,f591,f677]) ).
fof(f2293,plain,
( e3 != op(e3,e1)
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f2292]) ).
fof(f2292,plain,
( e1 != e1
| e3 != op(e3,e1)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f160,f592]) ).
fof(f160,plain,
( op(e0,e0) != e1
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f2291,plain,
( spl0_79
| spl0_5
| spl0_6
| ~ spl0_68
| ~ spl0_89
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2236,f1042,f731,f627,f322,f317,f677]) ).
fof(f2236,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_68
| ~ spl0_89
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f2235]) ).
fof(f2235,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_68
| ~ spl0_89
| ~ spl0_111 ),
inference(forward_demodulation,[],[f2210,f732]) ).
fof(f2210,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl0_68
| ~ spl0_111 ),
inference(forward_demodulation,[],[f2209,f628]) ).
fof(f2209,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_111 ),
inference(forward_demodulation,[],[f187,f1044]) ).
fof(f2260,plain,
( spl0_4
| ~ spl0_80
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f2258,f690,f681,f312]) ).
fof(f2258,plain,
( e1 = e2
| ~ spl0_80
| ~ spl0_82 ),
inference(forward_demodulation,[],[f691,f682]) ).
fof(f2245,plain,
( spl0_5
| spl0_6
| spl0_3
| ~ spl0_63
| ~ spl0_75
| ~ spl0_80
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2176,f1031,f681,f659,f605,f307,f322,f317]) ).
fof(f2176,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_63
| ~ spl0_75
| ~ spl0_80
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f2175]) ).
fof(f2175,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_63
| ~ spl0_75
| ~ spl0_80
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2174,f606]) ).
fof(f2174,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl0_75
| ~ spl0_80
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1287,f1033]) ).
fof(f1287,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl0_75
| ~ spl0_80 ),
inference(forward_demodulation,[],[f1172,f660]) ).
fof(f2234,plain,
( spl0_2
| spl0_6
| spl0_4
| ~ spl0_60
| ~ spl0_84
| ~ spl0_98
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1995,f1011,f786,f703,f591,f312,f322,f302]) ).
fof(f1995,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl0_60
| ~ spl0_84
| ~ spl0_98
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f1994]) ).
fof(f1994,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e0 = e2
| ~ spl0_60
| ~ spl0_84
| ~ spl0_98
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1993,f592]) ).
fof(f1993,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| op(e0,e0) = e2
| ~ spl0_84
| ~ spl0_98
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1537,f788]) ).
fof(f1537,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl0_84
| ~ spl0_107 ),
inference(forward_demodulation,[],[f806,f1013]) ).
fof(f806,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl0_84 ),
inference(forward_demodulation,[],[f177,f705]) ).
fof(f2205,plain,
( spl0_2
| ~ spl0_60
| ~ spl0_89
| ~ spl0_103
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2204,f1042,f931,f731,f591,f302]) ).
fof(f2204,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_89
| ~ spl0_103
| ~ spl0_111 ),
inference(forward_demodulation,[],[f2203,f1082]) ).
fof(f2203,plain,
( e1 = e2
| ~ spl0_60
| ~ spl0_89
| ~ spl0_103
| ~ spl0_111 ),
inference(forward_demodulation,[],[f2202,f592]) ).
fof(f2202,plain,
( op(e0,e0) = e2
| ~ spl0_89
| ~ spl0_103
| ~ spl0_111 ),
inference(forward_demodulation,[],[f732,f1082]) ).
fof(f2169,plain,
( spl0_6
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1545,f773,f749,f322]) ).
fof(f1545,plain,
( e2 = e3
| ~ spl0_93
| ~ spl0_95 ),
inference(superposition,[],[f774,f751]) ).
fof(f2116,plain,
( spl0_2
| ~ spl0_100
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2043,f1031,f850,f302]) ).
fof(f2043,plain,
( e0 = e2
| ~ spl0_100
| ~ spl0_110 ),
inference(forward_demodulation,[],[f851,f1033]) ).
fof(f2054,plain,
( spl0_1
| ~ spl0_84
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2007,f782,f703,f297]) ).
fof(f2007,plain,
( e0 = e1
| ~ spl0_84
| ~ spl0_97 ),
inference(forward_demodulation,[],[f784,f705]) ).
fof(f1989,plain,
( spl0_1
| ~ spl0_60
| ~ spl0_61
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1988,f773,f749,f703,f596,f591,f297]) ).
fof(f1988,plain,
( e0 = e1
| ~ spl0_60
| ~ spl0_61
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f592,f1986]) ).
fof(f1986,plain,
( e0 = op(e0,e0)
| ~ spl0_61
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f705,f1884]) ).
fof(f1884,plain,
( e0 = e2
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1545,f1831]) ).
fof(f1987,plain,
( spl0_60
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1947,f782,f773,f749,f596,f591]) ).
fof(f1947,plain,
( op(e0,e0) = e1
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_97 ),
inference(forward_demodulation,[],[f784,f1884]) ).
fof(f1966,plain,
( spl0_1
| ~ spl0_61
| ~ spl0_85
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1959,f1031,f773,f749,f707,f596,f297]) ).
fof(f1959,plain,
( e0 = e1
| ~ spl0_61
| ~ spl0_85
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1958,plain,
( e0 = e1
| e0 = e1
| ~ spl0_61
| ~ spl0_85
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1896,f1951]) ).
fof(f1951,plain,
( e0 = op(e0,e0)
| ~ spl0_61
| ~ spl0_85
| ~ spl0_95 ),
inference(forward_demodulation,[],[f709,f1831]) ).
fof(f1896,plain,
( op(e0,e0) = e1
| e0 = e1
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1895]) ).
fof(f1895,plain,
( op(e0,e0) = e1
| e0 = e1
| op(e0,e0) = e1
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1894,f1831]) ).
fof(f1894,plain,
( e0 = e1
| op(e0,e0) = e1
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1893,f1033]) ).
fof(f1893,plain,
( op(e0,e0) = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95 ),
inference(duplicate_literal_removal,[],[f1892]) ).
fof(f1892,plain,
( op(e0,e0) = e1
| op(e0,e0) = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1864,f1884]) ).
fof(f1864,plain,
( e1 = op(e2,e0)
| op(e0,e0) = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1863,f1831]) ).
fof(f1863,plain,
( op(e0,e0) = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_95 ),
inference(forward_demodulation,[],[f199,f1831]) ).
fof(f1953,plain,
( spl0_1
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_97
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1948,f1078,f782,f773,f749,f596,f297]) ).
fof(f1948,plain,
( e0 = e1
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_97
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1947,f1946]) ).
fof(f1946,plain,
( e0 = op(e0,e0)
| ~ spl0_61
| ~ spl0_93
| ~ spl0_95
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1945,f1884]) ).
fof(f1889,plain,
( spl0_1
| spl0_60
| ~ spl0_61
| ~ spl0_84
| ~ spl0_95
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1851,f1031,f773,f703,f596,f591,f297]) ).
fof(f1851,plain,
( op(e0,e0) = e1
| e0 = e1
| ~ spl0_61
| ~ spl0_84
| ~ spl0_95
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1850]) ).
fof(f1850,plain,
( op(e0,e0) = e1
| e0 = e1
| op(e0,e0) = e1
| ~ spl0_61
| ~ spl0_84
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1849,f1831]) ).
fof(f1849,plain,
( e0 = e1
| op(e0,e0) = e1
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_84
| ~ spl0_95
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1848]) ).
fof(f1848,plain,
( e0 = e1
| op(e0,e0) = e1
| e0 = e1
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_84
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1847,f705]) ).
fof(f1847,plain,
( e1 = op(e2,e0)
| op(e0,e0) = e1
| e0 = e1
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1846,f1831]) ).
fof(f1846,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl0_61
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1712,f1831]) ).
fof(f1844,plain,
( spl0_90
| spl0_5
| spl0_6
| ~ spl0_68
| ~ spl0_89
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1824,f1046,f731,f627,f322,f317,f735]) ).
fof(f1824,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl0_68
| ~ spl0_89
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f1823]) ).
fof(f1823,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl0_68
| ~ spl0_89
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1516,f732]) ).
fof(f1516,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl0_68
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1515,f628]) ).
fof(f1515,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f187,f1048]) ).
fof(f1817,plain,
( spl0_2
| ~ spl0_66
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f1782,f627,f618,f302]) ).
fof(f1782,plain,
( e0 = e2
| ~ spl0_66
| ~ spl0_68 ),
inference(superposition,[],[f619,f628]) ).
fof(f1790,plain,
( spl0_3
| ~ spl0_59
| ~ spl0_66
| ~ spl0_68
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1789,f735,f627,f618,f587,f307]) ).
fof(f1789,plain,
( e0 = e3
| ~ spl0_59
| ~ spl0_66
| ~ spl0_68
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1788,f588]) ).
fof(f1788,plain,
( e3 = op(e0,e1)
| ~ spl0_66
| ~ spl0_68
| ~ spl0_90 ),
inference(forward_demodulation,[],[f736,f1782]) ).
fof(f1787,plain,
( spl0_90
| spl0_5
| spl0_6
| spl0_3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1517,f1046,f627,f587,f307,f322,f317,f735]) ).
fof(f1517,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl0_59
| ~ spl0_68
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1516,f588]) ).
fof(f1777,plain,
( ~ spl0_109
| ~ spl0_68
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1771,f773,f627,f1027]) ).
fof(f1771,plain,
( e0 != op(e1,e2)
| ~ spl0_68
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f1770]) ).
fof(f1770,plain,
( e2 != e2
| e0 != op(e1,e2)
| ~ spl0_68
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1769,f628]) ).
fof(f1769,plain,
( e2 != op(e1,e1)
| e0 != op(e1,e2)
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f1768]) ).
fof(f1768,plain,
( e3 != e3
| e2 != op(e1,e1)
| e0 != op(e1,e2)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f255,f774]) ).
fof(f255,plain,
( e3 != op(e0,e2)
| e2 != op(e1,e1)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f254]) ).
fof(f254,plain,
( e3 != op(op(e1,e2),e2)
| e2 != op(e1,e1)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f223]) ).
fof(f223,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f1764,plain,
( spl0_8
| spl0_1
| spl0_5
| ~ spl0_107
| ~ spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1530,f1031,f1027,f1011,f317,f297,f332]) ).
fof(f1530,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e1)
| ~ spl0_107
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1529,f1013]) ).
fof(f1529,plain,
( e0 = e1
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl0_109
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1528,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1527,f1029]) ).
fof(f1760,plain,
( spl0_6
| spl0_3
| spl0_5
| ~ spl0_59
| ~ spl0_68
| ~ spl0_111
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1718,f1046,f1042,f627,f587,f317,f307,f322]) ).
fof(f1718,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_111
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f1717]) ).
fof(f1717,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_111
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1517,f1044]) ).
fof(f1740,plain,
( spl0_87
| ~ spl0_88
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1733,f773,f749,f722,f718]) ).
fof(f1733,plain,
( e1 = op(e0,e2)
| ~ spl0_88
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f724,f1545]) ).
fof(f1710,plain,
( spl0_4
| ~ spl0_73
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1709,f1042,f650,f312]) ).
fof(f1709,plain,
( e1 = e2
| ~ spl0_73
| ~ spl0_111 ),
inference(forward_demodulation,[],[f651,f1044]) ).
fof(f1707,plain,
( spl0_9
| spl0_73
| spl0_2
| ~ spl0_84
| ~ spl0_87
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1668,f773,f718,f703,f302,f650,f337]) ).
fof(f1668,plain,
( e0 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| ~ spl0_84
| ~ spl0_87
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1667,f705]) ).
fof(f1667,plain,
( e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl0_87
| ~ spl0_95 ),
inference(duplicate_literal_removal,[],[f1666]) ).
fof(f1666,plain,
( e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl0_87
| ~ spl0_95 ),
inference(forward_demodulation,[],[f192,f1645]) ).
fof(f1698,plain,
( spl0_1
| spl0_111
| spl0_4
| ~ spl0_68
| ~ spl0_87
| ~ spl0_94
| ~ spl0_95
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1678,f1031,f773,f753,f718,f627,f312,f1042,f297]) ).
fof(f1678,plain,
( e1 = e2
| e1 = op(e2,e1)
| e0 = e1
| ~ spl0_68
| ~ spl0_87
| ~ spl0_94
| ~ spl0_95
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1677]) ).
fof(f1677,plain,
( e1 = e2
| e1 = op(e2,e1)
| e1 = e2
| e0 = e1
| ~ spl0_68
| ~ spl0_87
| ~ spl0_94
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1676,f1645]) ).
fof(f1676,plain,
( e2 = e3
| e1 = op(e2,e1)
| e1 = e2
| e0 = e1
| ~ spl0_68
| ~ spl0_87
| ~ spl0_94
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1675,f755]) ).
fof(f1675,plain,
( e1 = op(e2,e1)
| e1 = e2
| e0 = e1
| e3 = op(e0,e3)
| ~ spl0_68
| ~ spl0_87
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1674,f1645]) ).
fof(f1674,plain,
( e1 = e2
| e0 = e1
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_68
| ~ spl0_87
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1673,f628]) ).
fof(f1673,plain,
( e1 = op(e1,e1)
| e0 = e1
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_87
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1672,f1645]) ).
fof(f1672,plain,
( e0 = e1
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl0_87
| ~ spl0_95
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1369,f1645]) ).
fof(f1659,plain,
( spl0_8
| ~ spl0_80
| ~ spl0_87
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1658,f773,f718,f681,f332]) ).
fof(f1658,plain,
( e1 = op(e1,e1)
| ~ spl0_80
| ~ spl0_87
| ~ spl0_95 ),
inference(forward_demodulation,[],[f682,f1645]) ).
fof(f1655,plain,
( spl0_80
| spl0_4
| spl0_1
| ~ spl0_94
| ~ spl0_110
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1622,f1078,f1031,f753,f297,f312,f681]) ).
fof(f1622,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_94
| ~ spl0_110
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f1621]) ).
fof(f1621,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl0_94
| ~ spl0_110
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1620,f1033]) ).
fof(f1620,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl0_94
| ~ spl0_114 ),
inference(forward_demodulation,[],[f899,f1080]) ).
fof(f1619,plain,
( spl0_3
| ~ spl0_84
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1538,f1015,f703,f307]) ).
fof(f1538,plain,
( e0 = e3
| ~ spl0_84
| ~ spl0_108 ),
inference(superposition,[],[f705,f1017]) ).
fof(f1581,plain,
( spl0_60
| spl0_1
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1563,f1027,f1015,f773,f749,f703,f297,f591]) ).
fof(f1563,plain,
( e0 = e1
| op(e0,e0) = e1
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f1562]) ).
fof(f1562,plain,
( e0 = e1
| op(e0,e0) = e1
| e0 = e1
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108
| ~ spl0_109 ),
inference(forward_demodulation,[],[f1561,f1029]) ).
fof(f1561,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e1,e2)
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(duplicate_literal_removal,[],[f1560]) ).
fof(f1560,plain,
( op(e0,e0) = e1
| op(e0,e0) = e1
| e0 = e1
| e1 = op(e1,e2)
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1559,f1549]) ).
fof(f1549,plain,
( e0 = e2
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1544,f1538]) ).
fof(f1544,plain,
( e2 = e3
| ~ spl0_93
| ~ spl0_95 ),
inference(superposition,[],[f751,f774]) ).
fof(f1559,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1558,f1538]) ).
fof(f1558,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1557,f1549]) ).
fof(f1557,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_84
| ~ spl0_93
| ~ spl0_95
| ~ spl0_108 ),
inference(forward_demodulation,[],[f949,f1549]) ).
fof(f1556,plain,
( ~ spl0_74
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1497,f587,f654]) ).
fof(f1497,plain,
( e1 != op(e2,e2)
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1496]) ).
fof(f1496,plain,
( e0 != e0
| e1 != op(e2,e2)
| ~ spl0_59 ),
inference(forward_demodulation,[],[f114,f588]) ).
fof(f114,plain,
( e1 != op(e2,e2)
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f1522,plain,
( spl0_5
| ~ spl0_65
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1520,f1011,f614,f317]) ).
fof(f1520,plain,
( e1 = e3
| ~ spl0_65
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1013,f615]) ).
fof(f1505,plain,
( spl0_6
| ~ spl0_68
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1455,f636,f627,f322]) ).
fof(f1455,plain,
( e2 = e3
| ~ spl0_68
| ~ spl0_70 ),
inference(superposition,[],[f628,f637]) ).
fof(f1495,plain,
( spl0_67
| spl0_74
| spl0_4
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1486,f773,f636,f627,f312,f654,f623]) ).
fof(f1486,plain,
( e1 = e2
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1485,f1455]) ).
fof(f1485,plain,
( e1 = e3
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1484,f774]) ).
fof(f1484,plain,
( e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl0_68
| ~ spl0_70 ),
inference(duplicate_literal_removal,[],[f1483]) ).
fof(f1483,plain,
( e1 = op(e2,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl0_68
| ~ spl0_70 ),
inference(forward_demodulation,[],[f191,f1455]) ).
fof(f1490,plain,
( spl0_109
| spl0_72
| spl0_2
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1481,f773,f636,f627,f302,f645,f1027]) ).
fof(f1481,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1480,f1455]) ).
fof(f1480,plain,
( e0 = e3
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl0_68
| ~ spl0_70
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1479,f774]) ).
fof(f1479,plain,
( e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl0_68
| ~ spl0_70 ),
inference(duplicate_literal_removal,[],[f1478]) ).
fof(f1478,plain,
( e0 = op(e2,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl0_68
| ~ spl0_70 ),
inference(forward_demodulation,[],[f189,f1455]) ).
fof(f1475,plain,
( spl0_72
| spl0_117
| spl0_3
| ~ spl0_95
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1450,f975,f773,f307,f1470,f645]) ).
fof(f1450,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl0_95
| ~ spl0_105 ),
inference(duplicate_literal_removal,[],[f1449]) ).
fof(f1449,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl0_95
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1448,f774]) ).
fof(f1473,plain,
( ~ spl0_117
| ~ spl0_68
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1452,f975,f627,f1470]) ).
fof(f1452,plain,
( e0 != op(e3,e2)
| ~ spl0_68
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f1451]) ).
fof(f1451,plain,
( e3 != e3
| e0 != op(e3,e2)
| ~ spl0_68
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1144,f976]) ).
fof(f1144,plain,
( e0 != op(e3,e2)
| e3 != op(e1,e2)
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f1143]) ).
fof(f1143,plain,
( e2 != e2
| e0 != op(e3,e2)
| e3 != op(e1,e2)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f267,f628]) ).
fof(f267,plain,
( e0 != op(e3,e2)
| e2 != op(e1,e1)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f266]) ).
fof(f266,plain,
( e0 != op(op(e1,e2),e2)
| e2 != op(e1,e1)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f229]) ).
fof(f229,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f1444,plain,
( ~ spl0_72
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1428,f614,f645]) ).
fof(f1428,plain,
( e0 != op(e2,e2)
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1427]) ).
fof(f1426,plain,
( spl0_68
| spl0_4
| spl0_2
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1360,f1046,f931,f587,f302,f312,f627]) ).
fof(f1360,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f1359]) ).
fof(f1359,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1358,f588]) ).
fof(f1358,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1357,f933]) ).
fof(f1357,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f185,f1048]) ).
fof(f1399,plain,
( spl0_63
| ~ spl0_103
| ~ spl0_110
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1177,f1042,f1031,f931,f605]) ).
fof(f1177,plain,
( e0 = op(e0,e3)
| ~ spl0_103
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f1033,f1082]) ).
fof(f1387,plain,
( spl0_1
| ~ spl0_59
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1386,f714,f587,f297]) ).
fof(f1386,plain,
( e0 = e1
| ~ spl0_59
| ~ spl0_86 ),
inference(forward_demodulation,[],[f716,f588]) ).
fof(f1374,plain,
( spl0_70
| spl0_5
| spl0_3
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1356,f1046,f931,f587,f307,f317,f636]) ).
fof(f1356,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f1355]) ).
fof(f1355,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl0_59
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1309,f588]) ).
fof(f1309,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1308,f933]) ).
fof(f1366,plain,
( spl0_6
| spl0_3
| spl0_5
| ~ spl0_80
| ~ spl0_85
| ~ spl0_112
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1354,f1095,f1046,f707,f681,f317,f307,f322]) ).
fof(f1354,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_80
| ~ spl0_85
| ~ spl0_112
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1353]) ).
fof(f1353,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_80
| ~ spl0_85
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1293,f1048]) ).
fof(f1293,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl0_80
| ~ spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1292,f709]) ).
fof(f1352,plain,
( spl0_5
| spl0_6
| spl0_3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_103
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1342,f1046,f931,f627,f587,f307,f322,f317]) ).
fof(f1342,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_103
| ~ spl0_112 ),
inference(duplicate_literal_removal,[],[f1341]) ).
fof(f1341,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl0_59
| ~ spl0_68
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1310,f588]) ).
fof(f1310,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl0_68
| ~ spl0_103
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1309,f628]) ).
fof(f1340,plain,
( spl0_6
| spl0_3
| spl0_5
| ~ spl0_75
| ~ spl0_80
| ~ spl0_88
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1290,f1031,f722,f681,f659,f317,f307,f322]) ).
fof(f1290,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl0_75
| ~ spl0_80
| ~ spl0_88
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f1289]) ).
fof(f1289,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl0_75
| ~ spl0_80
| ~ spl0_88
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1288,f724]) ).
fof(f1288,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl0_75
| ~ spl0_80
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1287,f1033]) ).
fof(f1313,plain,
( spl0_5
| ~ spl0_88
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1311,f799,f722,f317]) ).
fof(f1311,plain,
( e1 = e3
| ~ spl0_88
| ~ spl0_99 ),
inference(forward_demodulation,[],[f801,f724]) ).
fof(f1307,plain,
( spl0_3
| ~ spl0_59
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1296,f740,f587,f307]) ).
fof(f1296,plain,
( e0 = e3
| ~ spl0_59
| ~ spl0_91 ),
inference(superposition,[],[f588,f741]) ).
fof(f1284,plain,
( spl0_1
| ~ spl0_104
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1237,f1046,f935,f297]) ).
fof(f1237,plain,
( e0 = e1
| ~ spl0_104
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1048,f937]) ).
fof(f1239,plain,
( spl0_1
| ~ spl0_63
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1193,f722,f605,f297]) ).
fof(f1193,plain,
( e0 = e1
| ~ spl0_63
| ~ spl0_88 ),
inference(forward_demodulation,[],[f724,f606]) ).
fof(f1195,plain,
( spl0_95
| ~ spl0_103
| ~ spl0_105
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1154,f1042,f975,f931,f773]) ).
fof(f1154,plain,
( e3 = op(e0,e2)
| ~ spl0_103
| ~ spl0_105
| ~ spl0_111 ),
inference(forward_demodulation,[],[f976,f1082]) ).
fof(f1188,plain,
( spl0_7
| ~ spl0_86
| ~ spl0_103
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1151,f1042,f931,f714,f327]) ).
fof(f1151,plain,
( e0 = op(e0,e0)
| ~ spl0_86
| ~ spl0_103
| ~ spl0_111 ),
inference(forward_demodulation,[],[f716,f1082]) ).
fof(f1186,plain,
( ~ spl0_81
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1113,f600,f686]) ).
fof(f1113,plain,
( e3 != op(e3,e2)
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1112]) ).
fof(f1152,plain,
( spl0_3
| ~ spl0_105
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1148,f1027,f975,f307]) ).
fof(f1148,plain,
( e0 = e3
| ~ spl0_105
| ~ spl0_109 ),
inference(forward_demodulation,[],[f976,f1029]) ).
fof(f1124,plain,
( spl0_2
| ~ spl0_109
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1123,f1091,f1027,f302]) ).
fof(f1123,plain,
( e0 = e2
| ~ spl0_109
| ~ spl0_115 ),
inference(forward_demodulation,[],[f1093,f1029]) ).
fof(f1116,plain,
( spl0_6
| ~ spl0_81
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1115,f1095,f686,f322]) ).
fof(f1115,plain,
( e2 = e3
| ~ spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f687,f1097]) ).
fof(f1108,plain,
( spl0_95
| spl0_105
| spl0_76
| spl0_81 ),
inference(avatar_split_clause,[],[f195,f686,f663,f975,f773]) ).
fof(f195,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1098,plain,
( spl0_93
| spl0_115
| spl0_9
| spl0_116 ),
inference(avatar_split_clause,[],[f193,f1095,f337,f1091,f749]) ).
fof(f193,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1081,plain,
( spl0_84
| spl0_103
| spl0_72
| spl0_114 ),
inference(avatar_split_clause,[],[f188,f1078,f645,f931,f703]) ).
fof(f188,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1063,plain,
( spl0_3
| ~ spl0_110
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1062,f1058,f1031,f307]) ).
fof(f1062,plain,
( e0 = e3
| ~ spl0_110
| ~ spl0_113 ),
inference(forward_demodulation,[],[f1060,f1033]) ).
fof(f1061,plain,
( spl0_107
| spl0_70
| spl0_105
| spl0_113 ),
inference(avatar_split_clause,[],[f186,f1058,f975,f636,f1011]) ).
fof(f186,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1049,plain,
( spl0_86
| spl0_8
| spl0_111
| spl0_112 ),
inference(avatar_split_clause,[],[f183,f1046,f1042,f332,f714]) ).
fof(f183,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1034,plain,
( spl0_83
| spl0_66
| spl0_109
| spl0_110 ),
inference(avatar_split_clause,[],[f180,f1031,f1027,f618,f699]) ).
fof(f180,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1018,plain,
( spl0_64
| spl0_107
| spl0_108
| spl0_77 ),
inference(avatar_split_clause,[],[f179,f668,f1015,f1011,f609]) ).
fof(f179,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1008,plain,
( ~ spl0_83
| spl0_15
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f864,f707,f367,f699]) ).
fof(f367,plain,
( spl0_15
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f864,plain,
( e0 != op(e1,e0)
| spl0_15
| ~ spl0_85 ),
inference(superposition,[],[f369,f709]) ).
fof(f369,plain,
( op(e1,e0) != op(e3,e0)
| spl0_15 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f1000,plain,
( spl0_100
| spl0_75
| spl0_82
| spl0_2
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f945,f605,f302,f690,f659,f850]) ).
fof(f945,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f201,f606]) ).
fof(f989,plain,
( spl0_69
| spl0_106
| spl0_80
| spl0_1
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f944,f605,f297,f681,f986,f632]) ).
fof(f944,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f199,f606]) ).
fof(f979,plain,
( spl0_68
| spl0_73
| spl0_92
| spl0_6
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f895,f740,f322,f744,f650,f627]) ).
fof(f895,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl0_91 ),
inference(forward_demodulation,[],[f185,f741]) ).
fof(f978,plain,
( ~ spl0_87
| ~ spl0_62
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f285,f975,f600,f718]) ).
fof(f285,plain,
( e3 != op(e1,e2)
| op(e0,e0) != e2
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f284]) ).
fof(f284,plain,
( e3 != op(op(e0,e2),e2)
| op(e0,e0) != e2
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f238]) ).
fof(f238,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e2
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f972,plain,
( ~ spl0_61
| spl0_40
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f695,f605,f492,f596]) ).
fof(f492,plain,
( spl0_40
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f695,plain,
( e0 != op(e0,e2)
| spl0_40
| ~ spl0_63 ),
inference(superposition,[],[f494,f606]) ).
fof(f494,plain,
( op(e0,e2) != op(e0,e3)
| spl0_40 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f960,plain,
( spl0_102
| spl0_71
| spl0_2
| spl0_4
| ~ spl0_60
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f943,f707,f591,f312,f302,f641,f873]) ).
fof(f943,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl0_60
| ~ spl0_85 ),
inference(forward_demodulation,[],[f868,f592]) ).
fof(f868,plain,
( e0 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl0_85 ),
inference(forward_demodulation,[],[f177,f709]) ).
fof(f948,plain,
( spl0_4
| ~ spl0_87
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f947,f749,f718,f312]) ).
fof(f947,plain,
( e1 = e2
| ~ spl0_87
| ~ spl0_93 ),
inference(forward_demodulation,[],[f751,f720]) ).
fof(f942,plain,
( spl0_2
| ~ spl0_63
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f919,f753,f605,f302]) ).
fof(f919,plain,
( e0 = e2
| ~ spl0_63
| ~ spl0_94 ),
inference(superposition,[],[f755,f606]) ).
fof(f940,plain,
( spl0_59
| ~ spl0_63
| ~ spl0_94
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f939,f931,f753,f605,f587]) ).
fof(f939,plain,
( e0 = op(e0,e1)
| ~ spl0_63
| ~ spl0_94
| ~ spl0_103 ),
inference(forward_demodulation,[],[f933,f919]) ).
fof(f938,plain,
( spl0_66
| spl0_103
| spl0_104
| spl0_3
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f894,f740,f307,f935,f931,f618]) ).
fof(f894,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl0_91 ),
inference(forward_demodulation,[],[f181,f741]) ).
fof(f926,plain,
( spl0_60
| spl0_65
| spl0_97
| spl0_1
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f870,f707,f297,f782,f614,f591]) ).
fof(f870,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl0_85 ),
inference(forward_demodulation,[],[f175,f709]) ).
fof(f898,plain,
( spl0_4
| ~ spl0_88
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f896,f753,f722,f312]) ).
fof(f896,plain,
( e1 = e2
| ~ spl0_88
| ~ spl0_94 ),
inference(forward_demodulation,[],[f755,f724]) ).
fof(f893,plain,
( spl0_6
| ~ spl0_89
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f890,f740,f731,f322]) ).
fof(f890,plain,
( e2 = e3
| ~ spl0_89
| ~ spl0_91 ),
inference(forward_demodulation,[],[f741,f732]) ).
fof(f889,plain,
( spl0_97
| spl0_98
| spl0_1
| spl0_5
| ~ spl0_64
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f885,f699,f609,f317,f297,f786,f782]) ).
fof(f885,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl0_64
| ~ spl0_83 ),
inference(forward_demodulation,[],[f763,f610]) ).
fof(f763,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl0_83 ),
inference(forward_demodulation,[],[f175,f701]) ).
fof(f884,plain,
( spl0_102
| spl0_101
| spl0_2
| spl0_6
| ~ spl0_64
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f879,f703,f609,f322,f302,f855,f873]) ).
fof(f879,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| ~ spl0_64
| ~ spl0_84 ),
inference(forward_demodulation,[],[f806,f610]) ).
fof(f876,plain,
( spl0_102
| spl0_71
| spl0_2
| spl0_6
| ~ spl0_64
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f869,f707,f609,f322,f302,f641,f873]) ).
fof(f869,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl0_64
| ~ spl0_85 ),
inference(forward_demodulation,[],[f868,f610]) ).
fof(f867,plain,
( spl0_71
| spl0_101
| spl0_4
| spl0_6
| ~ spl0_64
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f860,f614,f609,f322,f312,f855,f641]) ).
fof(f860,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| ~ spl0_64
| ~ spl0_65 ),
inference(forward_demodulation,[],[f859,f610]) ).
fof(f859,plain,
( e1 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl0_65 ),
inference(forward_demodulation,[],[f177,f615]) ).
fof(f858,plain,
( spl0_101
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_64
| ~ spl0_65
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f808,f703,f614,f609,f322,f312,f302,f855]) ).
fof(f808,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl0_64
| ~ spl0_65
| ~ spl0_84 ),
inference(forward_demodulation,[],[f807,f610]) ).
fof(f807,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl0_65
| ~ spl0_84 ),
inference(forward_demodulation,[],[f806,f615]) ).
fof(f853,plain,
( ~ spl0_88
| ~ spl0_100
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f840,f609,f850,f722]) ).
fof(f840,plain,
( e2 != op(e1,e3)
| e1 != op(e0,e3)
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f839]) ).
fof(f839,plain,
( e3 != e3
| e2 != op(e1,e3)
| e1 != op(e0,e3)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f293,f610]) ).
fof(f293,plain,
( e2 != op(e1,e3)
| op(e0,e0) != e3
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f292]) ).
fof(f292,plain,
( e2 != op(op(e0,e3),e3)
| op(e0,e0) != e3
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f242]) ).
fof(f242,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e3
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f837,plain,
( spl0_1
| ~ spl0_61
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f827,f718,f596,f297]) ).
fof(f827,plain,
( e0 = e1
| ~ spl0_61
| ~ spl0_87 ),
inference(superposition,[],[f720,f597]) ).
fof(f818,plain,
( spl0_2
| ~ spl0_59
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f812,f731,f587,f302]) ).
fof(f812,plain,
( e0 = e2
| ~ spl0_59
| ~ spl0_89 ),
inference(forward_demodulation,[],[f732,f588]) ).
fof(f811,plain,
( spl0_4
| ~ spl0_86
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f809,f731,f714,f312]) ).
fof(f809,plain,
( e1 = e2
| ~ spl0_86
| ~ spl0_89 ),
inference(forward_demodulation,[],[f732,f716]) ).
fof(f805,plain,
( spl0_6
| ~ spl0_62
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f803,f609,f600,f322]) ).
fof(f803,plain,
( e2 = e3
| ~ spl0_62
| ~ spl0_64 ),
inference(forward_demodulation,[],[f610,f601]) ).
fof(f802,plain,
( spl0_64
| spl0_91
| spl0_95
| spl0_99 ),
inference(avatar_split_clause,[],[f178,f799,f773,f740,f609]) ).
fof(f178,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f795,plain,
( spl0_65
| spl0_97
| spl0_98
| spl0_4
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f790,f600,f312,f786,f782,f614]) ).
fof(f790,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f175,f601]) ).
fof(f789,plain,
( spl0_97
| spl0_98
| spl0_1
| spl0_4
| ~ spl0_62
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f764,f699,f600,f312,f297,f786,f782]) ).
fof(f764,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl0_62
| ~ spl0_83 ),
inference(forward_demodulation,[],[f763,f601]) ).
fof(f780,plain,
( ~ spl0_95
| ~ spl0_96
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f762,f600,f777,f773]) ).
fof(f762,plain,
( e1 != op(e3,e2)
| e3 != op(e0,e2)
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f761]) ).
fof(f761,plain,
( e2 != e2
| e1 != op(e3,e2)
| e3 != op(e0,e2)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f295,f601]) ).
fof(f295,plain,
( e1 != op(e3,e2)
| op(e0,e0) != e2
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f294]) ).
fof(f294,plain,
( e1 != op(op(e0,e2),e2)
| op(e0,e0) != e2
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f243]) ).
fof(f243,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e2
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f760,plain,
( spl0_4
| ~ spl0_60
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f759,f600,f591,f312]) ).
fof(f759,plain,
( e1 = e2
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_demodulation,[],[f601,f592]) ).
fof(f756,plain,
( spl0_62
| spl0_89
| spl0_93
| spl0_94 ),
inference(avatar_split_clause,[],[f176,f753,f749,f731,f600]) ).
fof(f176,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f747,plain,
( ~ spl0_91
| ~ spl0_60
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f291,f744,f591,f740]) ).
fof(f291,plain,
( e2 != op(e3,e1)
| op(e0,e0) != e1
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f290]) ).
fof(f290,plain,
( e2 != op(op(e0,e1),e1)
| op(e0,e0) != e1
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f241]) ).
fof(f241,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e1
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f738,plain,
( ~ spl0_89
| ~ spl0_60
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f289,f735,f591,f731]) ).
fof(f289,plain,
( e3 != op(e2,e1)
| op(e0,e0) != e1
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f288]) ).
fof(f288,plain,
( e3 != op(op(e0,e1),e1)
| op(e0,e0) != e1
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f240]) ).
fof(f240,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& op(e0,e0) = e1
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f725,plain,
( spl0_60
| spl0_86
| spl0_87
| spl0_88 ),
inference(avatar_split_clause,[],[f174,f722,f718,f714,f591]) ).
fof(f174,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f710,plain,
( spl0_7
| spl0_83
| spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f173,f707,f703,f699,f327]) ).
fof(f173,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f694,plain,
( spl0_7
| spl0_59
| spl0_61
| spl0_63 ),
inference(avatar_split_clause,[],[f172,f605,f596,f587,f327]) ).
fof(f172,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f693,plain,
( ~ spl0_81
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f167,f690,f686]) ).
fof(f167,plain,
( e2 != op(e3,e3)
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f684,plain,
( ~ spl0_79
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f163,f681,f677]) ).
fof(f163,plain,
( e1 != op(e3,e3)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f675,plain,
( ~ spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f159,f672,f668]) ).
fof(f159,plain,
( e0 != op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f666,plain,
( ~ spl0_75
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f154,f663,f659]) ).
fof(f154,plain,
( e3 != op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f657,plain,
( ~ spl0_73
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f146,f654,f650]) ).
fof(f146,plain,
( e1 != op(e2,e2)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f648,plain,
( ~ spl0_71
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f142,f645,f641]) ).
fof(f142,plain,
( e0 != op(e2,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f639,plain,
( ~ spl0_69
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f137,f636,f632]) ).
fof(f137,plain,
( e3 != op(e1,e1)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f630,plain,
( ~ spl0_67
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f133,f627,f623]) ).
fof(f133,plain,
( e2 != op(e1,e1)
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f621,plain,
( ~ spl0_65
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f125,f618,f614]) ).
fof(f125,plain,
( e0 != op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f612,plain,
( ~ spl0_63
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f120,f609,f605]) ).
fof(f120,plain,
( op(e0,e0) != e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f603,plain,
( ~ spl0_61
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f116,f600,f596]) ).
fof(f116,plain,
( op(e0,e0) != e2
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f594,plain,
( ~ spl0_59
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f112,f591,f587]) ).
fof(f112,plain,
( op(e0,e0) != e1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f585,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f107,f582]) ).
fof(f582,plain,
( spl0_58
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f107,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f580,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f106,f577]) ).
fof(f577,plain,
( spl0_57
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f106,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f575,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f105,f572]) ).
fof(f572,plain,
( spl0_56
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f105,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f570,plain,
~ spl0_55,
inference(avatar_split_clause,[],[f104,f567]) ).
fof(f567,plain,
( spl0_55
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f104,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f565,plain,
~ spl0_54,
inference(avatar_split_clause,[],[f103,f562]) ).
fof(f562,plain,
( spl0_54
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f103,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f560,plain,
~ spl0_53,
inference(avatar_split_clause,[],[f102,f557]) ).
fof(f557,plain,
( spl0_53
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f102,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f555,plain,
~ spl0_52,
inference(avatar_split_clause,[],[f101,f552]) ).
fof(f552,plain,
( spl0_52
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f101,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f550,plain,
~ spl0_51,
inference(avatar_split_clause,[],[f100,f547]) ).
fof(f547,plain,
( spl0_51
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f100,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f545,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f99,f542]) ).
fof(f542,plain,
( spl0_50
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f99,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f540,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f98,f537]) ).
fof(f98,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f535,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f97,f532]) ).
fof(f532,plain,
( spl0_48
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f97,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f530,plain,
~ spl0_47,
inference(avatar_split_clause,[],[f96,f527]) ).
fof(f527,plain,
( spl0_47
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f96,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f525,plain,
~ spl0_46,
inference(avatar_split_clause,[],[f95,f522]) ).
fof(f95,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f520,plain,
~ spl0_45,
inference(avatar_split_clause,[],[f94,f517]) ).
fof(f94,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f515,plain,
~ spl0_44,
inference(avatar_split_clause,[],[f93,f512]) ).
fof(f93,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f510,plain,
~ spl0_43,
inference(avatar_split_clause,[],[f92,f507]) ).
fof(f507,plain,
( spl0_43
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f92,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f505,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f91,f502]) ).
fof(f91,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f500,plain,
~ spl0_41,
inference(avatar_split_clause,[],[f90,f497]) ).
fof(f497,plain,
( spl0_41
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f90,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f495,plain,
~ spl0_40,
inference(avatar_split_clause,[],[f89,f492]) ).
fof(f89,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f490,plain,
~ spl0_39,
inference(avatar_split_clause,[],[f88,f487]) ).
fof(f487,plain,
( spl0_39
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f88,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f485,plain,
~ spl0_38,
inference(avatar_split_clause,[],[f87,f482]) ).
fof(f87,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f480,plain,
~ spl0_37,
inference(avatar_split_clause,[],[f86,f477]) ).
fof(f477,plain,
( spl0_37
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f86,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f475,plain,
~ spl0_36,
inference(avatar_split_clause,[],[f85,f472]) ).
fof(f472,plain,
( spl0_36
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f85,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f470,plain,
~ spl0_35,
inference(avatar_split_clause,[],[f84,f467]) ).
fof(f84,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f465,plain,
~ spl0_34,
inference(avatar_split_clause,[],[f83,f462]) ).
fof(f462,plain,
( spl0_34
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f83,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f460,plain,
~ spl0_33,
inference(avatar_split_clause,[],[f82,f457]) ).
fof(f457,plain,
( spl0_33
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f82,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f455,plain,
~ spl0_32,
inference(avatar_split_clause,[],[f81,f452]) ).
fof(f452,plain,
( spl0_32
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f81,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f450,plain,
~ spl0_31,
inference(avatar_split_clause,[],[f80,f447]) ).
fof(f447,plain,
( spl0_31
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f80,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f445,plain,
~ spl0_30,
inference(avatar_split_clause,[],[f79,f442]) ).
fof(f442,plain,
( spl0_30
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f79,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f440,plain,
~ spl0_29,
inference(avatar_split_clause,[],[f78,f437]) ).
fof(f78,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
~ spl0_28,
inference(avatar_split_clause,[],[f77,f432]) ).
fof(f432,plain,
( spl0_28
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f77,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f76,f427]) ).
fof(f427,plain,
( spl0_27
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f76,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f425,plain,
~ spl0_26,
inference(avatar_split_clause,[],[f75,f422]) ).
fof(f422,plain,
( spl0_26
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f75,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f420,plain,
~ spl0_25,
inference(avatar_split_clause,[],[f74,f417]) ).
fof(f417,plain,
( spl0_25
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f74,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f415,plain,
~ spl0_24,
inference(avatar_split_clause,[],[f73,f412]) ).
fof(f412,plain,
( spl0_24
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f73,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
~ spl0_23,
inference(avatar_split_clause,[],[f72,f407]) ).
fof(f407,plain,
( spl0_23
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f72,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f405,plain,
~ spl0_22,
inference(avatar_split_clause,[],[f71,f402]) ).
fof(f402,plain,
( spl0_22
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f71,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f400,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f70,f397]) ).
fof(f397,plain,
( spl0_21
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f70,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f395,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f69,f392]) ).
fof(f392,plain,
( spl0_20
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f69,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f390,plain,
~ spl0_19,
inference(avatar_split_clause,[],[f68,f387]) ).
fof(f387,plain,
( spl0_19
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f68,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
~ spl0_18,
inference(avatar_split_clause,[],[f67,f382]) ).
fof(f382,plain,
( spl0_18
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f67,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f66,f377]) ).
fof(f66,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f65,f372]) ).
fof(f372,plain,
( spl0_16
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f65,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f370,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f64,f367]) ).
fof(f64,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f365,plain,
~ spl0_14,
inference(avatar_split_clause,[],[f63,f362]) ).
fof(f362,plain,
( spl0_14
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f63,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f360,plain,
~ spl0_13,
inference(avatar_split_clause,[],[f62,f357]) ).
fof(f357,plain,
( spl0_13
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f62,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f61,f352]) ).
fof(f352,plain,
( spl0_12
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f61,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f60,f347]) ).
fof(f347,plain,
( spl0_11
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f60,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f247,f342]) ).
fof(f247,plain,
e3 != op(e3,e3),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
( e3 != op(e3,e3)
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f340,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f246,f337]) ).
fof(f246,plain,
e2 != op(e2,e2),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( e2 != op(e2,e2)
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f335,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f245,f332]) ).
fof(f245,plain,
e1 != op(e1,e1),
inference(duplicate_literal_removal,[],[f129]) ).
fof(f129,plain,
( e1 != op(e1,e1)
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f330,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f244,f327]) ).
fof(f244,plain,
e0 != op(e0,e0),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,plain,
( e0 != op(e0,e0)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f325,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f59,f322]) ).
fof(f59,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f320,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f58,f317]) ).
fof(f58,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f315,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f57,f312]) ).
fof(f57,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f56,f307]) ).
fof(f56,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f305,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f55,f302]) ).
fof(f55,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f300,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f54,f297]) ).
fof(f54,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : ALG136+1 : TPTP v8.2.0. Released v2.7.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28 % Computer : n012.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat May 18 23:21:22 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (6782)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29 % (6789)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.29 % (6787)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.29 % (6791)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.08/0.29 % (6786)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.29 % (6790)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.08/0.29 % (6792)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.08/0.30 % (6788)WARNING: value z3 for option sas not known
% 0.08/0.30 Detected minimum model sizes of [4]
% 0.08/0.30 Detected maximum model sizes of [max]
% 0.08/0.30 Detected minimum model sizes of [4]
% 0.08/0.30 Detected maximum model sizes of [max]
% 0.08/0.30 TRYING [4]
% 0.08/0.30 TRYING [4]
% 0.08/0.30 % (6788)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.30 TRYING [5]
% 0.08/0.30 TRYING [5]
% 0.13/0.31 TRYING [6]
% 0.13/0.31 TRYING [6]
% 0.13/0.32 TRYING [7]
% 0.13/0.33 TRYING [7]
% 0.13/0.34 TRYING [8]
% 0.13/0.34 TRYING [8]
% 0.13/0.36 TRYING [9]
% 0.13/0.36 TRYING [9]
% 0.13/0.38 TRYING [10]
% 0.13/0.39 TRYING [10]
% 0.13/0.42 TRYING [11]
% 0.13/0.43 TRYING [11]
% 0.13/0.46 TRYING [12]
% 0.13/0.47 TRYING [12]
% 0.13/0.48 % (6790)First to succeed.
% 0.13/0.49 % (6790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6782"
% 0.13/0.50 % (6790)Refutation found. Thanks to Tanya!
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.50 % (6790)------------------------------
% 0.13/0.50 % (6790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.50 % (6790)Termination reason: Refutation
% 0.13/0.50
% 0.13/0.50 % (6790)Memory used [KB]: 2452
% 0.13/0.50 % (6790)Time elapsed: 0.204 s
% 0.13/0.50 % (6790)Instructions burned: 783 (million)
% 0.13/0.50 % (6782)Success in time 0.222 s
%------------------------------------------------------------------------------