TSTP Solution File: ALG119+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG119+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:51 EDT 2022
% Result : Theorem 2.97s 0.89s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 342
% Syntax : Number of formulae : 1354 ( 141 unt; 0 def)
% Number of atoms : 5589 (3243 equ)
% Maximal formula atoms : 288 ( 4 avg)
% Number of connectives : 6780 (2545 ~;2725 |;1329 &)
% ( 181 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 327 ( 325 usr; 326 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8428,plain,
$false,
inference(avatar_sat_refutation,[],[f1281,f1467,f1568,f1593,f1625,f1670,f1733,f1874,f2049,f2108,f2163,f2234,f2449,f2623,f2629,f2651,f2660,f2699,f2708,f2717,f2732,f2794,f2817,f2818,f2844,f2845,f2920,f2937,f2947,f2954,f2975,f3015,f3030,f3035,f3083,f3114,f3116,f3163,f3191,f3197,f3199,f3216,f3236,f3262,f3356,f3372,f3391,f3404,f3405,f3446,f3460,f3469,f3512,f3513,f3516,f3519,f3544,f3578,f3579,f3609,f3611,f3646,f3656,f3658,f3661,f3697,f3706,f3712,f3787,f3798,f3809,f3831,f3855,f3865,f3866,f3894,f3965,f3967,f3986,f3991,f4003,f4013,f4026,f4057,f4068,f4075,f4084,f4102,f4104,f4117,f4120,f4136,f4138,f4147,f4182,f4261,f4303,f4318,f4319,f4331,f4333,f4336,f4363,f4369,f4374,f4385,f4421,f4430,f4442,f4452,f4480,f4506,f4557,f4568,f4576,f4595,f4600,f4633,f4641,f4657,f4683,f4717,f4735,f4805,f4815,f4823,f4826,f4848,f4873,f4876,f4909,f5007,f5026,f5031,f5057,f5066,f5075,f5113,f5137,f5164,f5166,f5169,f5178,f5196,f5231,f5233,f5237,f5239,f5240,f5244,f5246,f5250,f5357,f5394,f5397,f5404,f5474,f5526,f5530,f5571,f5582,f5586,f5612,f5621,f5626,f5653,f5684,f5701,f5704,f5709,f5744,f5747,f5790,f5794,f5828,f5845,f5862,f5910,f5938,f5957,f5961,f6006,f6061,f6099,f6130,f6156,f6170,f6181,f6199,f6248,f6327,f6363,f6383,f6400,f6416,f6478,f6480,f6485,f6505,f6510,f6599,f6611,f6621,f6645,f6701,f6737,f6789,f6821,f6848,f6897,f6937,f6947,f6976,f7011,f7042,f7075,f7101,f7116,f7124,f7130,f7154,f7182,f7190,f7212,f7247,f7262,f7267,f7276,f7319,f7321,f7333,f7336,f7338,f7353,f7369,f7388,f7542,f7567,f7580,f7603,f7612,f7626,f7634,f7704,f7715,f7777,f7788,f8010,f8023,f8031,f8071,f8085,f8090,f8328,f8388,f8418]) ).
fof(f8418,plain,
( ~ spl144_100
| ~ spl144_137
| ~ spl144_397 ),
inference(avatar_contradiction_clause,[],[f8417]) ).
fof(f8417,plain,
( $false
| ~ spl144_100
| ~ spl144_137
| ~ spl144_397 ),
inference(subsumption_resolution,[],[f8416,f318]) ).
fof(f318,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e21 != e22
& e20 != e22
& e21 != e23
& e20 != e21
& e20 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f8416,plain,
( e20 = e21
| ~ spl144_100
| ~ spl144_137
| ~ spl144_397 ),
inference(forward_demodulation,[],[f8415,f1786]) ).
fof(f1786,plain,
( e21 = op2(e21,e23)
| ~ spl144_137 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1785,plain,
( spl144_137
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_137])]) ).
fof(f8415,plain,
( e20 = op2(e21,e23)
| ~ spl144_100
| ~ spl144_397 ),
inference(forward_demodulation,[],[f3257,f1616]) ).
fof(f1616,plain,
( e23 = op2(e21,e20)
| ~ spl144_100 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1614,plain,
( spl144_100
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_100])]) ).
fof(f3257,plain,
( e20 = op2(e21,op2(e21,e20))
| ~ spl144_397 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3255,plain,
( spl144_397
<=> e20 = op2(e21,op2(e21,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_397])]) ).
fof(f8388,plain,
( ~ spl144_88
| ~ spl144_100
| ~ spl144_398 ),
inference(avatar_contradiction_clause,[],[f8387]) ).
fof(f8387,plain,
( $false
| ~ spl144_88
| ~ spl144_100
| ~ spl144_398 ),
inference(subsumption_resolution,[],[f8386,f316]) ).
fof(f316,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8386,plain,
( e22 = e23
| ~ spl144_88
| ~ spl144_100
| ~ spl144_398 ),
inference(forward_demodulation,[],[f8385,f1616]) ).
fof(f8385,plain,
( e22 = op2(e21,e20)
| ~ spl144_88
| ~ spl144_398 ),
inference(forward_demodulation,[],[f3261,f1559]) ).
fof(f1559,plain,
( e20 = op2(e21,e22)
| ~ spl144_88 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f1557,plain,
( spl144_88
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_88])]) ).
fof(f3261,plain,
( e22 = op2(e21,op2(e21,e22))
| ~ spl144_398 ),
inference(avatar_component_clause,[],[f3259]) ).
fof(f3259,plain,
( spl144_398
<=> e22 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_398])]) ).
fof(f8328,plain,
( ~ spl144_137
| ~ spl144_180
| ~ spl144_396 ),
inference(avatar_contradiction_clause,[],[f8327]) ).
fof(f8327,plain,
( $false
| ~ spl144_137
| ~ spl144_180
| ~ spl144_396 ),
inference(subsumption_resolution,[],[f8326,f316]) ).
fof(f8326,plain,
( e22 = e23
| ~ spl144_137
| ~ spl144_180
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8186,f8274]) ).
fof(f8274,plain,
( e22 = op2(e21,e21)
| ~ spl144_180 ),
inference(forward_demodulation,[],[f341,f2003]) ).
fof(f2003,plain,
( e22 = h2(e12)
| ~ spl144_180 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2001,plain,
( spl144_180
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_180])]) ).
fof(f341,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( h2(e10) = op2(op2(e21,e21),op2(e21,op2(e21,e21)))
& e21 = h2(e13)
& op2(e21,op2(e21,e21)) = h2(e11)
& op2(e21,e21) = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f8186,plain,
( e23 = op2(e21,e21)
| ~ spl144_137
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3253,f1786]) ).
fof(f3253,plain,
( e23 = op2(e21,op2(e21,e23))
| ~ spl144_396 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f3251,plain,
( spl144_396
<=> e23 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_396])]) ).
fof(f8090,plain,
( ~ spl144_376
| ~ spl144_88 ),
inference(avatar_split_clause,[],[f8089,f1557,f3008]) ).
fof(f3008,plain,
( spl144_376
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_376])]) ).
fof(f8089,plain,
( e20 != op2(e21,e23)
| ~ spl144_88 ),
inference(forward_demodulation,[],[f414,f1559]) ).
fof(f414,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e20) != op2(e21,e21)
& op2(e23,e21) != op2(e23,e22)
& op2(e21,e23) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e23) != op2(e23,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e22) != op2(e21,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f8085,plain,
( ~ spl144_402
| ~ spl144_386 ),
inference(avatar_split_clause,[],[f8084,f3091,f3282]) ).
fof(f3282,plain,
( spl144_402
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_402])]) ).
fof(f3091,plain,
( spl144_386
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_386])]) ).
fof(f8084,plain,
( e23 != h1(e12)
| ~ spl144_386 ),
inference(backward_demodulation,[],[f3679,f3093]) ).
fof(f3093,plain,
( e23 = op2(e20,e22)
| ~ spl144_386 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f3679,plain,
op2(e20,e22) != h1(e12),
inference(backward_demodulation,[],[f432,f377]) ).
fof(f377,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e10) = op2(op2(e20,e20),op2(e20,op2(e20,e20)))
& op2(e20,op2(e20,e20)) = h1(e11)
& e20 = h1(e13)
& op2(e20,e20) = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f432,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f8071,plain,
( spl144_99
| ~ spl144_33
| ~ spl144_371 ),
inference(avatar_split_clause,[],[f8070,f2964,f1314,f1610]) ).
fof(f1610,plain,
( spl144_99
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_99])]) ).
fof(f1314,plain,
( spl144_33
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_33])]) ).
fof(f2964,plain,
( spl144_371
<=> e23 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_371])]) ).
fof(f8070,plain,
( op2(e20,e20) = e23
| ~ spl144_33
| ~ spl144_371 ),
inference(forward_demodulation,[],[f2966,f1315]) ).
fof(f1315,plain,
( e20 = op2(e20,e23)
| ~ spl144_33 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f2966,plain,
( e23 = op2(e20,op2(e20,e23))
| ~ spl144_371 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f8031,plain,
( ~ spl144_141
| spl144_363
| ~ spl144_380
| ~ spl144_402
| ~ spl144_439 ),
inference(avatar_contradiction_clause,[],[f8030]) ).
fof(f8030,plain,
( $false
| ~ spl144_141
| spl144_363
| ~ spl144_380
| ~ spl144_402
| ~ spl144_439 ),
inference(subsumption_resolution,[],[f8029,f3051]) ).
fof(f3051,plain,
( e21 = op2(e20,e23)
| ~ spl144_380 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f3049,plain,
( spl144_380
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_380])]) ).
fof(f8029,plain,
( e21 != op2(e20,e23)
| ~ spl144_141
| spl144_363
| ~ spl144_402
| ~ spl144_439 ),
inference(forward_demodulation,[],[f8028,f3739]) ).
fof(f3739,plain,
( e21 = h1(e11)
| ~ spl144_439 ),
inference(avatar_component_clause,[],[f3738]) ).
fof(f3738,plain,
( spl144_439
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_439])]) ).
fof(f8028,plain,
( op2(e20,e23) != h1(e11)
| ~ spl144_141
| spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f8027,f1808]) ).
fof(f1808,plain,
( e11 = op1(e13,e12)
| ~ spl144_141 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1806,plain,
( spl144_141
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_141])]) ).
fof(f8027,plain,
( op2(e20,e23) != h1(op1(e13,e12))
| spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f8026,f378]) ).
fof(f378,plain,
e20 = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f8026,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e23)
| spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f2907,f3283]) ).
fof(f3283,plain,
( e23 = h1(e12)
| ~ spl144_402 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f2907,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl144_363 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f2905,plain,
( spl144_363
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_363])]) ).
fof(f8023,plain,
( ~ spl144_124
| ~ spl144_371
| ~ spl144_380 ),
inference(avatar_contradiction_clause,[],[f8022]) ).
fof(f8022,plain,
( $false
| ~ spl144_124
| ~ spl144_371
| ~ spl144_380 ),
inference(subsumption_resolution,[],[f8021,f316]) ).
fof(f8021,plain,
( e22 = e23
| ~ spl144_124
| ~ spl144_371
| ~ spl144_380 ),
inference(forward_demodulation,[],[f8020,f1728]) ).
fof(f1728,plain,
( e22 = op2(e20,e21)
| ~ spl144_124 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1726,plain,
( spl144_124
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_124])]) ).
fof(f8020,plain,
( e23 = op2(e20,e21)
| ~ spl144_371
| ~ spl144_380 ),
inference(forward_demodulation,[],[f2966,f3051]) ).
fof(f8010,plain,
( ~ spl144_79
| ~ spl144_124
| ~ spl144_373 ),
inference(avatar_contradiction_clause,[],[f8009]) ).
fof(f8009,plain,
( $false
| ~ spl144_79
| ~ spl144_124
| ~ spl144_373 ),
inference(subsumption_resolution,[],[f8008,f318]) ).
fof(f8008,plain,
( e20 = e21
| ~ spl144_79
| ~ spl144_124
| ~ spl144_373 ),
inference(forward_demodulation,[],[f8007,f1517]) ).
fof(f1517,plain,
( e20 = op2(e20,e22)
| ~ spl144_79 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f1515,plain,
( spl144_79
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_79])]) ).
fof(f8007,plain,
( e21 = op2(e20,e22)
| ~ spl144_124
| ~ spl144_373 ),
inference(forward_demodulation,[],[f2974,f1728]) ).
fof(f2974,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ spl144_373 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f2972,plain,
( spl144_373
<=> e21 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_373])]) ).
fof(f7788,plain,
( ~ spl144_207
| ~ spl144_79
| ~ spl144_141
| ~ spl144_363
| ~ spl144_402 ),
inference(avatar_split_clause,[],[f7787,f3282,f2905,f1806,f1515,f2140]) ).
fof(f2140,plain,
( spl144_207
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_207])]) ).
fof(f7787,plain,
( e20 != h1(e11)
| ~ spl144_79
| ~ spl144_141
| ~ spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f7786,f1517]) ).
fof(f7786,plain,
( op2(e20,e22) != h1(e11)
| ~ spl144_141
| ~ spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f437,f7770]) ).
fof(f7770,plain,
( op2(e20,e23) = h1(e11)
| ~ spl144_141
| ~ spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f7769,f1808]) ).
fof(f7769,plain,
( op2(e20,e23) = h1(op1(e13,e12))
| ~ spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f7768,f378]) ).
fof(f7768,plain,
( h1(op1(e13,e12)) = op2(h1(e13),e23)
| ~ spl144_363
| ~ spl144_402 ),
inference(forward_demodulation,[],[f2906,f3283]) ).
fof(f2906,plain,
( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
| ~ spl144_363 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f437,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f7777,plain,
( ~ spl144_115
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f7776,f1686,f1682]) ).
fof(f1682,plain,
( spl144_115
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f1686,plain,
( spl144_116
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f7776,plain,
( e21 != op2(e22,e23)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f410,f1688]) ).
fof(f1688,plain,
( e21 = op2(e22,e20)
| ~ spl144_116 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f410,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f7715,plain,
( ~ spl144_22
| spl144_112
| ~ spl144_225 ),
inference(avatar_contradiction_clause,[],[f7714]) ).
fof(f7714,plain,
( $false
| ~ spl144_22
| spl144_112
| ~ spl144_225 ),
inference(subsumption_resolution,[],[f7710,f1668]) ).
fof(f1668,plain,
( e13 != op1(e11,e10)
| spl144_112 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl144_112
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_112])]) ).
fof(f7710,plain,
( e13 = op1(e11,e10)
| ~ spl144_22
| ~ spl144_225 ),
inference(backward_demodulation,[],[f2233,f1268]) ).
fof(f1268,plain,
( e10 = op1(e11,e13)
| ~ spl144_22 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1266,plain,
( spl144_22
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_22])]) ).
fof(f2233,plain,
( e13 = op1(e11,op1(e11,e13))
| ~ spl144_225 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2231,plain,
( spl144_225
<=> e13 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_225])]) ).
fof(f7704,plain,
( ~ spl144_159
| ~ spl144_200
| spl144_382 ),
inference(avatar_contradiction_clause,[],[f7703]) ).
fof(f7703,plain,
( $false
| ~ spl144_159
| ~ spl144_200
| spl144_382 ),
inference(subsumption_resolution,[],[f7698,f2107]) ).
fof(f2107,plain,
( op1(e10,e10) = e12
| ~ spl144_200 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f2105,plain,
( spl144_200
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_200])]) ).
fof(f7698,plain,
( op1(e10,e10) != e12
| ~ spl144_159
| spl144_382 ),
inference(backward_demodulation,[],[f3069,f1896]) ).
fof(f1896,plain,
( e10 = op1(e10,e12)
| ~ spl144_159 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1894,plain,
( spl144_159
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_159])]) ).
fof(f3069,plain,
( e12 != op1(e10,op1(e10,e12))
| spl144_382 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f3068,plain,
( spl144_382
<=> e12 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_382])]) ).
fof(f7634,plain,
( ~ spl144_198
| ~ spl144_200 ),
inference(avatar_split_clause,[],[f7633,f2105,f2097]) ).
fof(f2097,plain,
( spl144_198
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_198])]) ).
fof(f7633,plain,
( e12 != op1(e11,e10)
| ~ spl144_200 ),
inference(forward_demodulation,[],[f1063,f2107]) ).
fof(f1063,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e10) != op1(e13,e10)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e10) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e11) != op1(e11,e12)
& op1(e10,e10) != op1(e12,e10)
& op1(e12,e10) != op1(e12,e11)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e10) != op1(e10,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7626,plain,
( ~ spl144_327
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f7623,f1974,f2696]) ).
fof(f2696,plain,
( spl144_327
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_327])]) ).
fof(f1974,plain,
( spl144_175
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_175])]) ).
fof(f7623,plain,
( e13 != op1(e12,e13)
| ~ spl144_175 ),
inference(backward_demodulation,[],[f1074,f1976]) ).
fof(f1976,plain,
( e13 = op1(e10,e13)
| ~ spl144_175 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f1074,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f7612,plain,
( ~ spl144_327
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f7611,f1663,f2696]) ).
fof(f1663,plain,
( spl144_111
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f7611,plain,
( e13 != op1(e12,e13)
| ~ spl144_111 ),
inference(forward_demodulation,[],[f1062,f1665]) ).
fof(f1665,plain,
( e13 = op1(e12,e10)
| ~ spl144_111 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1062,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f7603,plain,
( ~ spl144_112
| ~ spl144_153 ),
inference(avatar_split_clause,[],[f7601,f1867,f1667]) ).
fof(f1867,plain,
( spl144_153
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f7601,plain,
( e13 != op1(e11,e10)
| ~ spl144_153 ),
inference(backward_demodulation,[],[f1049,f1869]) ).
fof(f1869,plain,
( e13 = op1(e11,e12)
| ~ spl144_153 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1049,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f7580,plain,
( ~ spl144_24
| ~ spl144_160
| ~ spl144_224 ),
inference(avatar_contradiction_clause,[],[f7579]) ).
fof(f7579,plain,
( $false
| ~ spl144_24
| ~ spl144_160
| ~ spl144_224 ),
inference(subsumption_resolution,[],[f7578,f382]) ).
fof(f382,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e12
& e12 != e13
& e11 != e13
& e10 != e12
& e10 != e11
& e10 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f7578,plain,
( e10 = e11
| ~ spl144_24
| ~ spl144_160
| ~ spl144_224 ),
inference(forward_demodulation,[],[f7577,f1276]) ).
fof(f1276,plain,
( e10 = op1(e11,e12)
| ~ spl144_24 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1274,plain,
( spl144_24
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_24])]) ).
fof(f7577,plain,
( e11 = op1(e11,e12)
| ~ spl144_160
| ~ spl144_224 ),
inference(forward_demodulation,[],[f2229,f1901]) ).
fof(f1901,plain,
( e12 = op1(e11,e11)
| ~ spl144_160 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1899,plain,
( spl144_160
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f2229,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl144_224 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f2227,plain,
( spl144_224
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f7567,plain,
( ~ spl144_151
| ~ spl144_160
| ~ spl144_225 ),
inference(avatar_contradiction_clause,[],[f7566]) ).
fof(f7566,plain,
( $false
| ~ spl144_151
| ~ spl144_160
| ~ spl144_225 ),
inference(subsumption_resolution,[],[f7565,f385]) ).
fof(f385,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7565,plain,
( e12 = e13
| ~ spl144_151
| ~ spl144_160
| ~ spl144_225 ),
inference(forward_demodulation,[],[f7564,f1901]) ).
fof(f7564,plain,
( e13 = op1(e11,e11)
| ~ spl144_151
| ~ spl144_225 ),
inference(forward_demodulation,[],[f2233,f1860]) ).
fof(f1860,plain,
( e11 = op1(e11,e13)
| ~ spl144_151 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1858,plain,
( spl144_151
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_151])]) ).
fof(f7542,plain,
( ~ spl144_151
| ~ spl144_335
| ~ spl144_376
| ~ spl144_434 ),
inference(avatar_contradiction_clause,[],[f7541]) ).
fof(f7541,plain,
( $false
| ~ spl144_151
| ~ spl144_335
| ~ spl144_376
| ~ spl144_434 ),
inference(subsumption_resolution,[],[f7540,f318]) ).
fof(f7540,plain,
( e20 = e21
| ~ spl144_151
| ~ spl144_335
| ~ spl144_376
| ~ spl144_434 ),
inference(forward_demodulation,[],[f7539,f3010]) ).
fof(f3010,plain,
( e20 = op2(e21,e23)
| ~ spl144_376 ),
inference(avatar_component_clause,[],[f3008]) ).
fof(f7539,plain,
( e21 = op2(e21,e23)
| ~ spl144_151
| ~ spl144_335
| ~ spl144_434 ),
inference(forward_demodulation,[],[f7538,f3635]) ).
fof(f3635,plain,
( e21 = h4(e11)
| ~ spl144_434 ),
inference(avatar_component_clause,[],[f3634]) ).
fof(f3634,plain,
( spl144_434
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_434])]) ).
fof(f7538,plain,
( op2(e21,e23) = h4(e11)
| ~ spl144_151
| ~ spl144_335
| ~ spl144_434 ),
inference(forward_demodulation,[],[f6968,f1860]) ).
fof(f6968,plain,
( op2(e21,e23) = h4(op1(e11,e13))
| ~ spl144_335
| ~ spl144_434 ),
inference(forward_demodulation,[],[f2766,f3635]) ).
fof(f2766,plain,
( h4(op1(e11,e13)) = op2(h4(e11),e23)
| ~ spl144_335 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f2765,plain,
( spl144_335
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_335])]) ).
fof(f7388,plain,
( ~ spl144_175
| ~ spl144_152 ),
inference(avatar_split_clause,[],[f7377,f1863,f1974]) ).
fof(f1863,plain,
( spl144_152
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f7377,plain,
( e13 != op1(e10,e13)
| ~ spl144_152 ),
inference(backward_demodulation,[],[f1059,f1865]) ).
fof(f1865,plain,
( e13 = op1(e10,e12)
| ~ spl144_152 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1059,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f7369,plain,
( ~ spl144_8
| spl144_429 ),
inference(avatar_contradiction_clause,[],[f7368]) ).
fof(f7368,plain,
( $false
| ~ spl144_8
| spl144_429 ),
inference(subsumption_resolution,[],[f7367,f1204]) ).
fof(f1204,plain,
( e12 = op1(e12,e12)
| ~ spl144_8 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1202,plain,
( spl144_8
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_8])]) ).
fof(f7367,plain,
( e12 != op1(e12,e12)
| ~ spl144_8
| spl144_429 ),
inference(forward_demodulation,[],[f3603,f1204]) ).
fof(f3603,plain,
( e12 != op1(e12,op1(e12,e12))
| spl144_429 ),
inference(avatar_component_clause,[],[f3602]) ).
fof(f3602,plain,
( spl144_429
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_429])]) ).
fof(f7353,plain,
( ~ spl144_142
| ~ spl144_141 ),
inference(avatar_split_clause,[],[f5748,f1806,f1810]) ).
fof(f1810,plain,
( spl144_142
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_142])]) ).
fof(f5748,plain,
( e11 != op1(e10,e12)
| ~ spl144_141 ),
inference(forward_demodulation,[],[f1042,f1808]) ).
fof(f1042,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f7338,plain,
( ~ spl144_315
| ~ spl144_200 ),
inference(avatar_split_clause,[],[f7337,f2105,f2616]) ).
fof(f2616,plain,
( spl144_315
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_315])]) ).
fof(f7337,plain,
( e12 != op1(e10,e11)
| ~ spl144_200 ),
inference(forward_demodulation,[],[f1038,f2107]) ).
fof(f1038,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f7336,plain,
( ~ spl144_314
| ~ spl144_8 ),
inference(avatar_split_clause,[],[f7335,f1202,f2612]) ).
fof(f2612,plain,
( spl144_314
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_314])]) ).
fof(f7335,plain,
( e12 != op1(e10,e12)
| ~ spl144_8 ),
inference(forward_demodulation,[],[f1050,f1204]) ).
fof(f1050,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f7333,plain,
( ~ spl144_315
| ~ spl144_160 ),
inference(avatar_split_clause,[],[f7325,f1899,f2616]) ).
fof(f7325,plain,
( e12 != op1(e10,e11)
| ~ spl144_160 ),
inference(backward_demodulation,[],[f1080,f1901]) ).
fof(f1080,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f7321,plain,
( spl144_22
| ~ spl144_112
| ~ spl144_223 ),
inference(avatar_contradiction_clause,[],[f7320]) ).
fof(f7320,plain,
( $false
| spl144_22
| ~ spl144_112
| ~ spl144_223 ),
inference(subsumption_resolution,[],[f7213,f1267]) ).
fof(f1267,plain,
( e10 != op1(e11,e13)
| spl144_22 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f7213,plain,
( e10 = op1(e11,e13)
| ~ spl144_112
| ~ spl144_223 ),
inference(forward_demodulation,[],[f2225,f1669]) ).
fof(f1669,plain,
( e13 = op1(e11,e10)
| ~ spl144_112 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f2225,plain,
( e10 = op1(e11,op1(e11,e10))
| ~ spl144_223 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f2223,plain,
( spl144_223
<=> e10 = op1(e11,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_223])]) ).
fof(f7319,plain,
( ~ spl144_159
| ~ spl144_200
| spl144_385 ),
inference(avatar_split_clause,[],[f7318,f3080,f2105,f1894]) ).
fof(f3080,plain,
( spl144_385
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_385])]) ).
fof(f7318,plain,
( e10 != op1(e10,e12)
| ~ spl144_200
| spl144_385 ),
inference(forward_demodulation,[],[f3081,f2107]) ).
fof(f3081,plain,
( e10 != op1(e10,op1(e10,e10))
| spl144_385 ),
inference(avatar_component_clause,[],[f3080]) ).
fof(f7276,plain,
( ~ spl144_324
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f7275,f1244,f2669]) ).
fof(f2669,plain,
( spl144_324
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_324])]) ).
fof(f1244,plain,
( spl144_17
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_17])]) ).
fof(f7275,plain,
( e13 != op1(e10,e11)
| ~ spl144_17 ),
inference(forward_demodulation,[],[f1053,f1246]) ).
fof(f1246,plain,
( e13 = op1(e13,e11)
| ~ spl144_17 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1053,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f7267,plain,
( ~ spl144_317
| ~ spl144_251 ),
inference(avatar_split_clause,[],[f7266,f2344,f2626]) ).
fof(f2626,plain,
( spl144_317
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_317])]) ).
fof(f2344,plain,
( spl144_251
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_251])]) ).
fof(f7266,plain,
( e10 != op1(e12,e13)
| ~ spl144_251 ),
inference(forward_demodulation,[],[f1076,f2346]) ).
fof(f2346,plain,
( e10 = op1(e12,e11)
| ~ spl144_251 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f1076,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f7262,plain,
( ~ spl144_251
| ~ spl144_321
| ~ spl144_428 ),
inference(avatar_contradiction_clause,[],[f7261]) ).
fof(f7261,plain,
( $false
| ~ spl144_251
| ~ spl144_321
| ~ spl144_428 ),
inference(subsumption_resolution,[],[f7260,f381]) ).
fof(f381,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7260,plain,
( e10 = e13
| ~ spl144_251
| ~ spl144_321
| ~ spl144_428 ),
inference(forward_demodulation,[],[f7259,f2346]) ).
fof(f7259,plain,
( e13 = op1(e12,e11)
| ~ spl144_321
| ~ spl144_428 ),
inference(forward_demodulation,[],[f3600,f2655]) ).
fof(f2655,plain,
( e11 = op1(e12,e13)
| ~ spl144_321 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f2653,plain,
( spl144_321
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_321])]) ).
fof(f3600,plain,
( e13 = op1(e12,op1(e12,e13))
| ~ spl144_428 ),
inference(avatar_component_clause,[],[f3598]) ).
fof(f3598,plain,
( spl144_428
<=> e13 = op1(e12,op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_428])]) ).
fof(f7247,plain,
( ~ spl144_38
| ~ spl144_154
| ~ spl144_430 ),
inference(avatar_contradiction_clause,[],[f7246]) ).
fof(f7246,plain,
( $false
| ~ spl144_38
| ~ spl144_154
| ~ spl144_430 ),
inference(subsumption_resolution,[],[f7245,f381]) ).
fof(f7245,plain,
( e10 = e13
| ~ spl144_38
| ~ spl144_154
| ~ spl144_430 ),
inference(forward_demodulation,[],[f7244,f1873]) ).
fof(f1873,plain,
( e13 = op1(e12,e12)
| ~ spl144_154 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1871,plain,
( spl144_154
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_154])]) ).
fof(f7244,plain,
( e10 = op1(e12,e12)
| ~ spl144_38
| ~ spl144_430 ),
inference(forward_demodulation,[],[f3608,f1339]) ).
fof(f1339,plain,
( e12 = op1(e12,e10)
| ~ spl144_38 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl144_38
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_38])]) ).
fof(f3608,plain,
( e10 = op1(e12,op1(e12,e10))
| ~ spl144_430 ),
inference(avatar_component_clause,[],[f3606]) ).
fof(f3606,plain,
( spl144_430
<=> e10 = op1(e12,op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_430])]) ).
fof(f7212,plain,
( ~ spl144_17
| ~ spl144_79
| spl144_357
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f7211]) ).
fof(f7211,plain,
( $false
| ~ spl144_17
| ~ spl144_79
| spl144_357
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f7210,f1517]) ).
fof(f7210,plain,
( e20 != op2(e20,e22)
| ~ spl144_17
| spl144_357
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7209,f378]) ).
fof(f7209,plain,
( op2(e20,e22) != h1(e13)
| ~ spl144_17
| spl144_357
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7208,f1246]) ).
fof(f7208,plain,
( op2(e20,e22) != h1(op1(e13,e11))
| spl144_357
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7207,f378]) ).
fof(f7207,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e22)
| spl144_357
| ~ spl144_419 ),
inference(forward_demodulation,[],[f2883,f3444]) ).
fof(f3444,plain,
( e22 = h1(e11)
| ~ spl144_419 ),
inference(avatar_component_clause,[],[f3443]) ).
fof(f3443,plain,
( spl144_419
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_419])]) ).
fof(f2883,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl144_357 ),
inference(avatar_component_clause,[],[f2881]) ).
fof(f2881,plain,
( spl144_357
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_357])]) ).
fof(f7190,plain,
( ~ spl144_20
| ~ spl144_154
| ~ spl144_265
| ~ spl144_392 ),
inference(avatar_contradiction_clause,[],[f7189]) ).
fof(f7189,plain,
( $false
| ~ spl144_20
| ~ spl144_154
| ~ spl144_265
| ~ spl144_392 ),
inference(subsumption_resolution,[],[f7188,f316]) ).
fof(f7188,plain,
( e22 = e23
| ~ spl144_20
| ~ spl144_154
| ~ spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f7187,f1259]) ).
fof(f1259,plain,
( e22 = op2(e22,e22)
| ~ spl144_20 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1257,plain,
( spl144_20
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_20])]) ).
fof(f7187,plain,
( e23 = op2(e22,e22)
| ~ spl144_154
| ~ spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f7186,f312]) ).
fof(f312,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,op2(e23,e23)) = h4(e11)
& op2(e23,e23) = h4(e12)
& op2(op2(e23,e23),op2(e23,op2(e23,e23))) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f7186,plain,
( op2(e22,e22) = h4(e13)
| ~ spl144_154
| ~ spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f6651,f1873]) ).
fof(f6651,plain,
( op2(e22,e22) = h4(op1(e12,e12))
| ~ spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f2408,f3183]) ).
fof(f3183,plain,
( e22 = h4(e12)
| ~ spl144_392 ),
inference(avatar_component_clause,[],[f3182]) ).
fof(f3182,plain,
( spl144_392
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_392])]) ).
fof(f2408,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl144_265 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f2407,plain,
( spl144_265
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_265])]) ).
fof(f7182,plain,
( ~ spl144_154
| ~ spl144_321
| ~ spl144_429 ),
inference(avatar_contradiction_clause,[],[f7181]) ).
fof(f7181,plain,
( $false
| ~ spl144_154
| ~ spl144_321
| ~ spl144_429 ),
inference(subsumption_resolution,[],[f7180,f386]) ).
fof(f386,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7180,plain,
( e11 = e12
| ~ spl144_154
| ~ spl144_321
| ~ spl144_429 ),
inference(forward_demodulation,[],[f7178,f2655]) ).
fof(f7178,plain,
( e12 = op1(e12,e13)
| ~ spl144_154
| ~ spl144_429 ),
inference(backward_demodulation,[],[f3604,f1873]) ).
fof(f3604,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl144_429 ),
inference(avatar_component_clause,[],[f3602]) ).
fof(f7154,plain,
( ~ spl144_211
| ~ spl144_251 ),
inference(avatar_split_clause,[],[f7153,f2344,f2160]) ).
fof(f2160,plain,
( spl144_211
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_211])]) ).
fof(f7153,plain,
( e10 != op1(e12,e12)
| ~ spl144_251 ),
inference(forward_demodulation,[],[f1044,f2346]) ).
fof(f1044,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f7130,plain,
( ~ spl144_8
| ~ spl144_38 ),
inference(avatar_split_clause,[],[f7129,f1337,f1202]) ).
fof(f7129,plain,
( e12 != op1(e12,e12)
| ~ spl144_38 ),
inference(forward_demodulation,[],[f1083,f1339]) ).
fof(f1083,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f7124,plain,
( ~ spl144_23
| ~ spl144_14 ),
inference(avatar_split_clause,[],[f7123,f1230,f1270]) ).
fof(f1270,plain,
( spl144_23
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_23])]) ).
fof(f1230,plain,
( spl144_14
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_14])]) ).
fof(f7123,plain,
( e10 != op1(e11,e10)
| ~ spl144_14 ),
inference(forward_demodulation,[],[f1081,f1232]) ).
fof(f1232,plain,
( e10 = op1(e13,e10)
| ~ spl144_14 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1081,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f7116,plain,
( ~ spl144_38
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359
| ~ spl144_376 ),
inference(avatar_contradiction_clause,[],[f7115]) ).
fof(f7115,plain,
( $false
| ~ spl144_38
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359
| ~ spl144_376 ),
inference(subsumption_resolution,[],[f7114,f318]) ).
fof(f7114,plain,
( e20 = e21
| ~ spl144_38
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359
| ~ spl144_376 ),
inference(forward_demodulation,[],[f7113,f3010]) ).
fof(f7113,plain,
( e21 = op2(e21,e23)
| ~ spl144_38
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359 ),
inference(forward_demodulation,[],[f7112,f2862]) ).
fof(f2862,plain,
( e21 = h1(e12)
| ~ spl144_352 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f2861,plain,
( spl144_352
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_352])]) ).
fof(f7112,plain,
( op2(e21,e23) = h1(e12)
| ~ spl144_38
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359 ),
inference(forward_demodulation,[],[f7053,f1339]) ).
fof(f7053,plain,
( op2(e21,e23) = h1(op1(e12,e10))
| ~ spl144_329
| ~ spl144_352
| ~ spl144_359 ),
inference(forward_demodulation,[],[f7052,f2862]) ).
fof(f7052,plain,
( h1(op1(e12,e10)) = op2(h1(e12),e23)
| ~ spl144_329
| ~ spl144_359 ),
inference(forward_demodulation,[],[f2890,f2715]) ).
fof(f2715,plain,
( e23 = h1(e10)
| ~ spl144_329 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2714,plain,
( spl144_329
<=> e23 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_329])]) ).
fof(f2890,plain,
( h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
| ~ spl144_359 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f2889,plain,
( spl144_359
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_359])]) ).
fof(f7101,plain,
( ~ spl144_190
| ~ spl144_315
| ~ spl144_329
| ~ spl144_352
| spl144_358
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f7100]) ).
fof(f7100,plain,
( $false
| ~ spl144_190
| ~ spl144_315
| ~ spl144_329
| ~ spl144_352
| spl144_358
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f7099,f2053]) ).
fof(f2053,plain,
( e21 = op2(e23,e22)
| ~ spl144_190 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f2051,plain,
( spl144_190
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_190])]) ).
fof(f7099,plain,
( e21 != op2(e23,e22)
| ~ spl144_315
| ~ spl144_329
| ~ spl144_352
| spl144_358
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7098,f2862]) ).
fof(f7098,plain,
( op2(e23,e22) != h1(e12)
| ~ spl144_315
| ~ spl144_329
| spl144_358
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7097,f2618]) ).
fof(f2618,plain,
( e12 = op1(e10,e11)
| ~ spl144_315 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f7097,plain,
( op2(e23,e22) != h1(op1(e10,e11))
| ~ spl144_329
| spl144_358
| ~ spl144_419 ),
inference(forward_demodulation,[],[f7096,f2715]) ).
fof(f7096,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e22)
| spl144_358
| ~ spl144_419 ),
inference(forward_demodulation,[],[f2887,f3444]) ).
fof(f2887,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl144_358 ),
inference(avatar_component_clause,[],[f2885]) ).
fof(f2885,plain,
( spl144_358
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_358])]) ).
fof(f7075,plain,
( ~ spl144_81
| ~ spl144_159
| ~ spl144_329
| ~ spl144_352
| spl144_360 ),
inference(avatar_contradiction_clause,[],[f7074]) ).
fof(f7074,plain,
( $false
| ~ spl144_81
| ~ spl144_159
| ~ spl144_329
| ~ spl144_352
| spl144_360 ),
inference(subsumption_resolution,[],[f7073,f1526]) ).
fof(f1526,plain,
( e23 = op2(e23,e21)
| ~ spl144_81 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl144_81
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_81])]) ).
fof(f7073,plain,
( e23 != op2(e23,e21)
| ~ spl144_159
| ~ spl144_329
| ~ spl144_352
| spl144_360 ),
inference(forward_demodulation,[],[f7072,f2715]) ).
fof(f7072,plain,
( op2(e23,e21) != h1(e10)
| ~ spl144_159
| ~ spl144_329
| ~ spl144_352
| spl144_360 ),
inference(forward_demodulation,[],[f7071,f1896]) ).
fof(f7071,plain,
( op2(e23,e21) != h1(op1(e10,e12))
| ~ spl144_329
| ~ spl144_352
| spl144_360 ),
inference(forward_demodulation,[],[f7070,f2715]) ).
fof(f7070,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e21)
| ~ spl144_352
| spl144_360 ),
inference(forward_demodulation,[],[f2895,f2862]) ).
fof(f2895,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl144_360 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f2893,plain,
( spl144_360
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_360])]) ).
fof(f7042,plain,
( ~ spl144_111
| ~ spl144_329
| ~ spl144_352
| spl144_359
| ~ spl144_376 ),
inference(avatar_contradiction_clause,[],[f7041]) ).
fof(f7041,plain,
( $false
| ~ spl144_111
| ~ spl144_329
| ~ spl144_352
| spl144_359
| ~ spl144_376 ),
inference(subsumption_resolution,[],[f7040,f3010]) ).
fof(f7040,plain,
( e20 != op2(e21,e23)
| ~ spl144_111
| ~ spl144_329
| ~ spl144_352
| spl144_359 ),
inference(forward_demodulation,[],[f7039,f378]) ).
fof(f7039,plain,
( op2(e21,e23) != h1(e13)
| ~ spl144_111
| ~ spl144_329
| ~ spl144_352
| spl144_359 ),
inference(forward_demodulation,[],[f7038,f1665]) ).
fof(f7038,plain,
( op2(e21,e23) != h1(op1(e12,e10))
| ~ spl144_329
| ~ spl144_352
| spl144_359 ),
inference(forward_demodulation,[],[f7037,f2862]) ).
fof(f7037,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e23)
| ~ spl144_329
| spl144_359 ),
inference(forward_demodulation,[],[f2891,f2715]) ).
fof(f2891,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl144_359 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f7011,plain,
( ~ spl144_156
| ~ spl144_175
| ~ spl144_329
| spl144_362 ),
inference(avatar_contradiction_clause,[],[f7010]) ).
fof(f7010,plain,
( $false
| ~ spl144_156
| ~ spl144_175
| ~ spl144_329
| spl144_362 ),
inference(subsumption_resolution,[],[f7009,f1883]) ).
fof(f1883,plain,
( e20 = op2(e23,e20)
| ~ spl144_156 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f1881,plain,
( spl144_156
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f7009,plain,
( e20 != op2(e23,e20)
| ~ spl144_175
| ~ spl144_329
| spl144_362 ),
inference(forward_demodulation,[],[f7008,f378]) ).
fof(f7008,plain,
( op2(e23,e20) != h1(e13)
| ~ spl144_175
| ~ spl144_329
| spl144_362 ),
inference(forward_demodulation,[],[f7007,f1976]) ).
fof(f7007,plain,
( op2(e23,e20) != h1(op1(e10,e13))
| ~ spl144_329
| spl144_362 ),
inference(forward_demodulation,[],[f7006,f2715]) ).
fof(f7006,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| spl144_362 ),
inference(forward_demodulation,[],[f2903,f378]) ).
fof(f2903,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl144_362 ),
inference(avatar_component_clause,[],[f2901]) ).
fof(f2901,plain,
( spl144_362
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f6976,plain,
( ~ spl144_153
| ~ spl144_202
| ~ spl144_352
| spl144_364
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6975]) ).
fof(f6975,plain,
( $false
| ~ spl144_153
| ~ spl144_202
| ~ spl144_352
| spl144_364
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6974,f2119]) ).
fof(f2119,plain,
( e20 = op2(e22,e21)
| ~ spl144_202 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f2117,plain,
( spl144_202
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_202])]) ).
fof(f6974,plain,
( e20 != op2(e22,e21)
| ~ spl144_153
| ~ spl144_352
| spl144_364
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6973,f378]) ).
fof(f6973,plain,
( op2(e22,e21) != h1(e13)
| ~ spl144_153
| ~ spl144_352
| spl144_364
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6972,f1869]) ).
fof(f6972,plain,
( op2(e22,e21) != h1(op1(e11,e12))
| ~ spl144_352
| spl144_364
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6971,f3444]) ).
fof(f6971,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e21)
| ~ spl144_352
| spl144_364 ),
inference(forward_demodulation,[],[f2911,f2862]) ).
fof(f2911,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl144_364 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f2909,plain,
( spl144_364
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_364])]) ).
fof(f6947,plain,
( ~ spl144_124
| ~ spl144_141
| ~ spl144_352
| spl144_363
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6946]) ).
fof(f6946,plain,
( $false
| ~ spl144_124
| ~ spl144_141
| ~ spl144_352
| spl144_363
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6945,f1728]) ).
fof(f6945,plain,
( e22 != op2(e20,e21)
| ~ spl144_141
| ~ spl144_352
| spl144_363
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6944,f3444]) ).
fof(f6944,plain,
( op2(e20,e21) != h1(e11)
| ~ spl144_141
| ~ spl144_352
| spl144_363 ),
inference(forward_demodulation,[],[f6943,f1808]) ).
fof(f6943,plain,
( op2(e20,e21) != h1(op1(e13,e12))
| ~ spl144_352
| spl144_363 ),
inference(forward_demodulation,[],[f6942,f378]) ).
fof(f6942,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e21)
| ~ spl144_352
| spl144_363 ),
inference(forward_demodulation,[],[f2907,f2862]) ).
fof(f6937,plain,
( ~ spl144_22
| spl144_335
| ~ spl144_376
| ~ spl144_381
| ~ spl144_434 ),
inference(avatar_contradiction_clause,[],[f6936]) ).
fof(f6936,plain,
( $false
| ~ spl144_22
| spl144_335
| ~ spl144_376
| ~ spl144_381
| ~ spl144_434 ),
inference(subsumption_resolution,[],[f6935,f3010]) ).
fof(f6935,plain,
( e20 != op2(e21,e23)
| ~ spl144_22
| spl144_335
| ~ spl144_381
| ~ spl144_434 ),
inference(forward_demodulation,[],[f6934,f3062]) ).
fof(f3062,plain,
( e20 = h4(e10)
| ~ spl144_381 ),
inference(avatar_component_clause,[],[f3061]) ).
fof(f3061,plain,
( spl144_381
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_381])]) ).
fof(f6934,plain,
( op2(e21,e23) != h4(e10)
| ~ spl144_22
| spl144_335
| ~ spl144_434 ),
inference(forward_demodulation,[],[f6933,f1268]) ).
fof(f6933,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| spl144_335
| ~ spl144_434 ),
inference(forward_demodulation,[],[f2767,f3635]) ).
fof(f2767,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl144_335 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f6897,plain,
( ~ spl144_251
| ~ spl144_329
| ~ spl144_352
| spl144_365
| ~ spl144_394
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6896]) ).
fof(f6896,plain,
( $false
| ~ spl144_251
| ~ spl144_329
| ~ spl144_352
| spl144_365
| ~ spl144_394
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6895,f3212]) ).
fof(f3212,plain,
( e23 = op2(e21,e22)
| ~ spl144_394 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f3210,plain,
( spl144_394
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_394])]) ).
fof(f6895,plain,
( e23 != op2(e21,e22)
| ~ spl144_251
| ~ spl144_329
| ~ spl144_352
| spl144_365
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6894,f2715]) ).
fof(f6894,plain,
( op2(e21,e22) != h1(e10)
| ~ spl144_251
| ~ spl144_352
| spl144_365
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6893,f2346]) ).
fof(f6893,plain,
( op2(e21,e22) != h1(op1(e12,e11))
| ~ spl144_352
| spl144_365
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6892,f2862]) ).
fof(f6892,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e22)
| spl144_365
| ~ spl144_419 ),
inference(forward_demodulation,[],[f2915,f3444]) ).
fof(f2915,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl144_365 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f2913,plain,
( spl144_365
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_365])]) ).
fof(f6848,plain,
( ~ spl144_14
| ~ spl144_254
| ~ spl144_329
| spl144_356 ),
inference(avatar_contradiction_clause,[],[f6847]) ).
fof(f6847,plain,
( $false
| ~ spl144_14
| ~ spl144_254
| ~ spl144_329
| spl144_356 ),
inference(subsumption_resolution,[],[f6846,f2361]) ).
fof(f2361,plain,
( e23 = op2(e20,e23)
| ~ spl144_254 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2359,plain,
( spl144_254
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_254])]) ).
fof(f6846,plain,
( e23 != op2(e20,e23)
| ~ spl144_14
| ~ spl144_329
| spl144_356 ),
inference(forward_demodulation,[],[f6845,f2715]) ).
fof(f6845,plain,
( op2(e20,e23) != h1(e10)
| ~ spl144_14
| ~ spl144_329
| spl144_356 ),
inference(forward_demodulation,[],[f6844,f1232]) ).
fof(f6844,plain,
( op2(e20,e23) != h1(op1(e13,e10))
| ~ spl144_329
| spl144_356 ),
inference(forward_demodulation,[],[f6843,f378]) ).
fof(f6843,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e23)
| ~ spl144_329
| spl144_356 ),
inference(forward_demodulation,[],[f2879,f2715]) ).
fof(f2879,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl144_356 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f2877,plain,
( spl144_356
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_356])]) ).
fof(f6821,plain,
( ~ spl144_22
| ~ spl144_102
| ~ spl144_329
| spl144_355
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6820]) ).
fof(f6820,plain,
( $false
| ~ spl144_22
| ~ spl144_102
| ~ spl144_329
| spl144_355
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6819,f1624]) ).
fof(f1624,plain,
( e23 = op2(e22,e20)
| ~ spl144_102 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1622,plain,
( spl144_102
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_102])]) ).
fof(f6819,plain,
( e23 != op2(e22,e20)
| ~ spl144_22
| ~ spl144_329
| spl144_355
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6818,f2715]) ).
fof(f6818,plain,
( op2(e22,e20) != h1(e10)
| ~ spl144_22
| spl144_355
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6817,f1268]) ).
fof(f6817,plain,
( op2(e22,e20) != h1(op1(e11,e13))
| spl144_355
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6816,f3444]) ).
fof(f6816,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| spl144_355 ),
inference(forward_demodulation,[],[f2875,f378]) ).
fof(f2875,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl144_355 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f2873,plain,
( spl144_355
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_355])]) ).
fof(f6789,plain,
( ~ spl144_274
| ~ spl144_321
| ~ spl144_352
| spl144_354
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6788]) ).
fof(f6788,plain,
( $false
| ~ spl144_274
| ~ spl144_321
| ~ spl144_352
| spl144_354
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6787,f2448]) ).
fof(f2448,plain,
( e22 = op2(e21,e20)
| ~ spl144_274 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f2446,plain,
( spl144_274
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_274])]) ).
fof(f6787,plain,
( e22 != op2(e21,e20)
| ~ spl144_321
| ~ spl144_352
| spl144_354
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6786,f3444]) ).
fof(f6786,plain,
( op2(e21,e20) != h1(e11)
| ~ spl144_321
| ~ spl144_352
| spl144_354 ),
inference(forward_demodulation,[],[f6785,f2655]) ).
fof(f6785,plain,
( op2(e21,e20) != h1(op1(e12,e13))
| ~ spl144_352
| spl144_354 ),
inference(forward_demodulation,[],[f6784,f2862]) ).
fof(f6784,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| spl144_354 ),
inference(forward_demodulation,[],[f2871,f378]) ).
fof(f2871,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl144_354 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f2869,plain,
( spl144_354
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_354])]) ).
fof(f6737,plain,
( ~ spl144_109
| ~ spl144_291
| ~ spl144_329
| spl144_353
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6736]) ).
fof(f6736,plain,
( $false
| ~ spl144_109
| ~ spl144_291
| ~ spl144_329
| spl144_353
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6735,f1656]) ).
fof(f1656,plain,
( e22 = op2(e23,e23)
| ~ spl144_109 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f1654,plain,
( spl144_109
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_109])]) ).
fof(f6735,plain,
( e22 != op2(e23,e23)
| ~ spl144_291
| ~ spl144_329
| spl144_353
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6734,f3444]) ).
fof(f6734,plain,
( op2(e23,e23) != h1(e11)
| ~ spl144_291
| ~ spl144_329
| spl144_353 ),
inference(forward_demodulation,[],[f6733,f2518]) ).
fof(f2518,plain,
( op1(e10,e10) = e11
| ~ spl144_291 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f2516,plain,
( spl144_291
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_291])]) ).
fof(f6733,plain,
( op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_329
| spl144_353 ),
inference(forward_demodulation,[],[f2867,f2715]) ).
fof(f2867,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl144_353 ),
inference(avatar_component_clause,[],[f2865]) ).
fof(f2865,plain,
( spl144_353
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_353])]) ).
fof(f6701,plain,
( ~ spl144_105
| ~ spl144_313
| spl144_351
| ~ spl144_352 ),
inference(avatar_contradiction_clause,[],[f6700]) ).
fof(f6700,plain,
( $false
| ~ spl144_105
| ~ spl144_313
| spl144_351
| ~ spl144_352 ),
inference(subsumption_resolution,[],[f6699,f1639]) ).
fof(f1639,plain,
( op2(e20,e20) = e21
| ~ spl144_105 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1637,plain,
( spl144_105
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f6699,plain,
( op2(e20,e20) != e21
| ~ spl144_313
| spl144_351
| ~ spl144_352 ),
inference(forward_demodulation,[],[f6698,f2862]) ).
fof(f6698,plain,
( op2(e20,e20) != h1(e12)
| ~ spl144_313
| spl144_351 ),
inference(forward_demodulation,[],[f6697,f2609]) ).
fof(f2609,plain,
( e12 = op1(e13,e13)
| ~ spl144_313 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f2607,plain,
( spl144_313
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_313])]) ).
fof(f6697,plain,
( op2(e20,e20) != h1(op1(e13,e13))
| spl144_351 ),
inference(forward_demodulation,[],[f2859,f378]) ).
fof(f2859,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl144_351 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f2857,plain,
( spl144_351
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_351])]) ).
fof(f6645,plain,
( ~ spl144_8
| ~ spl144_29
| ~ spl144_352
| spl144_366 ),
inference(avatar_contradiction_clause,[],[f6644]) ).
fof(f6644,plain,
( $false
| ~ spl144_8
| ~ spl144_29
| ~ spl144_352
| spl144_366 ),
inference(subsumption_resolution,[],[f6643,f1298]) ).
fof(f1298,plain,
( e21 = op2(e21,e21)
| ~ spl144_29 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl144_29
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_29])]) ).
fof(f6643,plain,
( e21 != op2(e21,e21)
| ~ spl144_8
| ~ spl144_352
| spl144_366 ),
inference(forward_demodulation,[],[f6642,f2862]) ).
fof(f6642,plain,
( op2(e21,e21) != h1(e12)
| ~ spl144_8
| ~ spl144_352
| spl144_366 ),
inference(forward_demodulation,[],[f6641,f1204]) ).
fof(f6641,plain,
( op2(e21,e21) != h1(op1(e12,e12))
| ~ spl144_352
| spl144_366 ),
inference(forward_demodulation,[],[f2919,f2862]) ).
fof(f2919,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl144_366 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f2917,plain,
( spl144_366
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_366])]) ).
fof(f6621,plain,
( ~ spl144_115
| ~ spl144_198
| ~ spl144_329
| ~ spl144_352
| spl144_361
| ~ spl144_419 ),
inference(avatar_contradiction_clause,[],[f6620]) ).
fof(f6620,plain,
( $false
| ~ spl144_115
| ~ spl144_198
| ~ spl144_329
| ~ spl144_352
| spl144_361
| ~ spl144_419 ),
inference(subsumption_resolution,[],[f6616,f1684]) ).
fof(f1684,plain,
( e21 = op2(e22,e23)
| ~ spl144_115 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f6616,plain,
( e21 != op2(e22,e23)
| ~ spl144_198
| ~ spl144_329
| ~ spl144_352
| spl144_361
| ~ spl144_419 ),
inference(backward_demodulation,[],[f6556,f2715]) ).
fof(f6556,plain,
( e21 != op2(e22,h1(e10))
| ~ spl144_198
| ~ spl144_352
| spl144_361
| ~ spl144_419 ),
inference(backward_demodulation,[],[f6481,f3444]) ).
fof(f6481,plain,
( e21 != op2(h1(e11),h1(e10))
| ~ spl144_198
| ~ spl144_352
| spl144_361 ),
inference(backward_demodulation,[],[f5461,f2862]) ).
fof(f5461,plain,
( h1(e12) != op2(h1(e11),h1(e10))
| ~ spl144_198
| spl144_361 ),
inference(backward_demodulation,[],[f2899,f2099]) ).
fof(f2099,plain,
( e12 = op1(e11,e10)
| ~ spl144_198 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2899,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl144_361 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2897,plain,
( spl144_361
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_361])]) ).
fof(f6611,plain,
( ~ spl144_8
| ~ spl144_20
| spl144_265
| ~ spl144_392 ),
inference(avatar_contradiction_clause,[],[f6610]) ).
fof(f6610,plain,
( $false
| ~ spl144_8
| ~ spl144_20
| spl144_265
| ~ spl144_392 ),
inference(subsumption_resolution,[],[f6609,f1259]) ).
fof(f6609,plain,
( e22 != op2(e22,e22)
| ~ spl144_8
| spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f6608,f3183]) ).
fof(f6608,plain,
( op2(e22,e22) != h4(e12)
| ~ spl144_8
| spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f6607,f1204]) ).
fof(f6607,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl144_265
| ~ spl144_392 ),
inference(forward_demodulation,[],[f2409,f3183]) ).
fof(f2409,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl144_265 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f6599,plain,
( spl144_329
| ~ spl144_352
| ~ spl144_394
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f6585,f3443,f3210,f2861,f2714]) ).
fof(f6585,plain,
( e23 = h1(e10)
| ~ spl144_352
| ~ spl144_394
| ~ spl144_419 ),
inference(forward_demodulation,[],[f3212,f6553]) ).
fof(f6553,plain,
( op2(e21,e22) = h1(e10)
| ~ spl144_352
| ~ spl144_419 ),
inference(backward_demodulation,[],[f6518,f3444]) ).
fof(f6518,plain,
( h1(e10) = op2(e21,h1(e11))
| ~ spl144_352 ),
inference(forward_demodulation,[],[f3699,f2862]) ).
fof(f3699,plain,
h1(e10) = op2(h1(e12),h1(e11)),
inference(backward_demodulation,[],[f3674,f3698]) ).
fof(f3698,plain,
h1(e11) = op2(e20,h1(e12)),
inference(forward_demodulation,[],[f379,f377]) ).
fof(f379,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f3674,plain,
h1(e10) = op2(h1(e12),op2(e20,h1(e12))),
inference(backward_demodulation,[],[f380,f377]) ).
fof(f380,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,op2(e20,e20))),
inference(cnf_transformation,[],[f14]) ).
fof(f6510,plain,
( ~ spl144_380
| ~ spl144_352 ),
inference(avatar_split_clause,[],[f6509,f2861,f3049]) ).
fof(f6509,plain,
( e21 != op2(e20,e23)
| ~ spl144_352 ),
inference(forward_demodulation,[],[f3678,f2862]) ).
fof(f3678,plain,
op2(e20,e23) != h1(e12),
inference(backward_demodulation,[],[f429,f377]) ).
fof(f429,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6505,plain,
( spl144_419
| ~ spl144_124
| ~ spl144_352 ),
inference(avatar_split_clause,[],[f6504,f2861,f1726,f3443]) ).
fof(f6504,plain,
( e22 = h1(e11)
| ~ spl144_124
| ~ spl144_352 ),
inference(forward_demodulation,[],[f6503,f1728]) ).
fof(f6503,plain,
( op2(e20,e21) = h1(e11)
| ~ spl144_352 ),
inference(forward_demodulation,[],[f3698,f2862]) ).
fof(f6485,plain,
( ~ spl144_330
| ~ spl144_319 ),
inference(avatar_split_clause,[],[f6217,f2639,f2719]) ).
fof(f2719,plain,
( spl144_330
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_330])]) ).
fof(f2639,plain,
( spl144_319
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f6217,plain,
( e22 != op2(e21,e22)
| ~ spl144_319 ),
inference(forward_demodulation,[],[f3748,f2640]) ).
fof(f2640,plain,
( e22 = h3(e12)
| ~ spl144_319 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f3748,plain,
op2(e21,e22) != h3(e12),
inference(backward_demodulation,[],[f431,f1103]) ).
fof(f1103,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e22 = h3(e13)
& op2(e22,op2(e22,e22)) = h3(e11)
& op2(e22,e22) = h3(e12)
& h3(e10) = op2(op2(e22,e22),op2(e22,op2(e22,e22))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f431,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6480,plain,
( ~ spl144_348
| ~ spl144_202 ),
inference(avatar_split_clause,[],[f5780,f2117,f2831]) ).
fof(f2831,plain,
( spl144_348
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_348])]) ).
fof(f5780,plain,
( e20 != op2(e22,e20)
| ~ spl144_202 ),
inference(forward_demodulation,[],[f448,f2119]) ).
fof(f448,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6478,plain,
( ~ spl144_18
| ~ spl144_319 ),
inference(avatar_split_clause,[],[f6288,f2639,f1249]) ).
fof(f1249,plain,
( spl144_18
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_18])]) ).
fof(f6288,plain,
( e22 != op2(e22,e20)
| ~ spl144_319 ),
inference(forward_demodulation,[],[f3746,f2640]) ).
fof(f3746,plain,
op2(e22,e20) != h3(e12),
inference(backward_demodulation,[],[f418,f1103]) ).
fof(f418,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6416,plain,
( ~ spl144_369
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f5105,f3182,f2944]) ).
fof(f2944,plain,
( spl144_369
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_369])]) ).
fof(f5105,plain,
( e22 != op2(e21,e23)
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3667,f3183]) ).
fof(f3667,plain,
op2(e21,e23) != h4(e12),
inference(backward_demodulation,[],[f423,f314]) ).
fof(f314,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f423,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6400,plain,
( ~ spl144_274
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f6399,f3425,f2446]) ).
fof(f3425,plain,
( spl144_417
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_417])]) ).
fof(f6399,plain,
( e22 != op2(e21,e20)
| ~ spl144_417 ),
inference(forward_demodulation,[],[f3675,f3426]) ).
fof(f3426,plain,
( e22 = h1(e12)
| ~ spl144_417 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f3675,plain,
op2(e21,e20) != h1(e12),
inference(backward_demodulation,[],[f408,f377]) ).
fof(f408,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6383,plain,
( ~ spl144_33
| ~ spl144_380 ),
inference(avatar_contradiction_clause,[],[f6382]) ).
fof(f6382,plain,
( $false
| ~ spl144_33
| ~ spl144_380 ),
inference(subsumption_resolution,[],[f6381,f318]) ).
fof(f6381,plain,
( e20 = e21
| ~ spl144_33
| ~ spl144_380 ),
inference(forward_demodulation,[],[f3051,f1315]) ).
fof(f6363,plain,
( ~ spl144_124
| ~ spl144_373
| ~ spl144_386 ),
inference(avatar_contradiction_clause,[],[f6362]) ).
fof(f6362,plain,
( $false
| ~ spl144_124
| ~ spl144_373
| ~ spl144_386 ),
inference(subsumption_resolution,[],[f6361,f319]) ).
fof(f319,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f6361,plain,
( e21 = e23
| ~ spl144_124
| ~ spl144_373
| ~ spl144_386 ),
inference(forward_demodulation,[],[f6360,f3093]) ).
fof(f6360,plain,
( e21 = op2(e20,e22)
| ~ spl144_124
| ~ spl144_373 ),
inference(forward_demodulation,[],[f2974,f1728]) ).
fof(f6327,plain,
( spl144_29
| ~ spl144_181 ),
inference(avatar_split_clause,[],[f6326,f2007,f1296]) ).
fof(f2007,plain,
( spl144_181
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_181])]) ).
fof(f6326,plain,
( e21 = op2(e21,e21)
| ~ spl144_181 ),
inference(forward_demodulation,[],[f341,f2009]) ).
fof(f2009,plain,
( e21 = h2(e12)
| ~ spl144_181 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f6248,plain,
( ~ spl144_180
| ~ spl144_274 ),
inference(avatar_split_clause,[],[f6247,f2446,f2001]) ).
fof(f6247,plain,
( e22 != h2(e12)
| ~ spl144_274 ),
inference(forward_demodulation,[],[f2083,f2448]) ).
fof(f2083,plain,
op2(e21,e20) != h2(e12),
inference(forward_demodulation,[],[f425,f341]) ).
fof(f425,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6199,plain,
( spl144_352
| ~ spl144_105 ),
inference(avatar_split_clause,[],[f6198,f1637,f2861]) ).
fof(f6198,plain,
( e21 = h1(e12)
| ~ spl144_105 ),
inference(forward_demodulation,[],[f1639,f377]) ).
fof(f6181,plain,
( ~ spl144_20
| ~ spl144_1
| spl144_350
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f6180,f3443,f2853,f1171,f1257]) ).
fof(f1171,plain,
( spl144_1
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_1])]) ).
fof(f2853,plain,
( spl144_350
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_350])]) ).
fof(f6180,plain,
( e22 != op2(e22,e22)
| ~ spl144_1
| spl144_350
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6179,f3444]) ).
fof(f6179,plain,
( op2(e22,e22) != h1(e11)
| ~ spl144_1
| spl144_350
| ~ spl144_419 ),
inference(forward_demodulation,[],[f6178,f1173]) ).
fof(f1173,plain,
( e11 = op1(e11,e11)
| ~ spl144_1 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f6178,plain,
( op2(e22,e22) != h1(op1(e11,e11))
| spl144_350
| ~ spl144_419 ),
inference(forward_demodulation,[],[f2855,f3444]) ).
fof(f2855,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl144_350 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f6170,plain,
( ~ spl144_18
| ~ spl144_202
| ~ spl144_414 ),
inference(avatar_contradiction_clause,[],[f6169]) ).
fof(f6169,plain,
( $false
| ~ spl144_18
| ~ spl144_202
| ~ spl144_414 ),
inference(subsumption_resolution,[],[f6168,f321]) ).
fof(f321,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f6168,plain,
( e21 = e22
| ~ spl144_18
| ~ spl144_202
| ~ spl144_414 ),
inference(forward_demodulation,[],[f6167,f1251]) ).
fof(f1251,plain,
( e22 = op2(e22,e20)
| ~ spl144_18 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f6167,plain,
( e21 = op2(e22,e20)
| ~ spl144_202
| ~ spl144_414 ),
inference(forward_demodulation,[],[f3371,f2119]) ).
fof(f3371,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ spl144_414 ),
inference(avatar_component_clause,[],[f3369]) ).
fof(f3369,plain,
( spl144_414
<=> e21 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_414])]) ).
fof(f6156,plain,
( ~ spl144_5
| ~ spl144_291
| ~ spl144_384 ),
inference(avatar_contradiction_clause,[],[f6155]) ).
fof(f6155,plain,
( $false
| ~ spl144_5
| ~ spl144_291
| ~ spl144_384 ),
inference(subsumption_resolution,[],[f6154,f384]) ).
fof(f384,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f6154,plain,
( e11 = e13
| ~ spl144_5
| ~ spl144_291
| ~ spl144_384 ),
inference(forward_demodulation,[],[f6153,f2518]) ).
fof(f6153,plain,
( op1(e10,e10) = e13
| ~ spl144_5
| ~ spl144_384 ),
inference(backward_demodulation,[],[f3078,f1191]) ).
fof(f1191,plain,
( e10 = op1(e10,e13)
| ~ spl144_5 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1189,plain,
( spl144_5
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_5])]) ).
fof(f3078,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ spl144_384 ),
inference(avatar_component_clause,[],[f3076]) ).
fof(f3076,plain,
( spl144_384
<=> e13 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_384])]) ).
fof(f6130,plain,
( ~ spl144_153
| ~ spl144_188 ),
inference(avatar_split_clause,[],[f6129,f2042,f1867]) ).
fof(f2042,plain,
( spl144_188
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_188])]) ).
fof(f6129,plain,
( e13 != op1(e11,e12)
| ~ spl144_188 ),
inference(forward_demodulation,[],[f1077,f2044]) ).
fof(f2044,plain,
( e13 = op1(e11,e13)
| ~ spl144_188 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f1077,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6099,plain,
( ~ spl144_151
| ~ spl144_1 ),
inference(avatar_split_clause,[],[f6098,f1171,f1858]) ).
fof(f6098,plain,
( e11 != op1(e11,e13)
| ~ spl144_1 ),
inference(forward_demodulation,[],[f1071,f1173]) ).
fof(f1071,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6061,plain,
( ~ spl144_115
| ~ spl144_202
| ~ spl144_413 ),
inference(avatar_contradiction_clause,[],[f6060]) ).
fof(f6060,plain,
( $false
| ~ spl144_115
| ~ spl144_202
| ~ spl144_413 ),
inference(subsumption_resolution,[],[f6059,f317]) ).
fof(f317,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f6059,plain,
( e20 = e23
| ~ spl144_115
| ~ spl144_202
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6058,f2119]) ).
fof(f6058,plain,
( e23 = op2(e22,e21)
| ~ spl144_115
| ~ spl144_413 ),
inference(forward_demodulation,[],[f3367,f1684]) ).
fof(f3367,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ spl144_413 ),
inference(avatar_component_clause,[],[f3365]) ).
fof(f3365,plain,
( spl144_413
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_413])]) ).
fof(f6006,plain,
( ~ spl144_175
| spl144_384 ),
inference(avatar_contradiction_clause,[],[f6005]) ).
fof(f6005,plain,
( $false
| ~ spl144_175
| spl144_384 ),
inference(subsumption_resolution,[],[f6004,f1976]) ).
fof(f6004,plain,
( e13 != op1(e10,e13)
| ~ spl144_175
| spl144_384 ),
inference(forward_demodulation,[],[f3077,f1976]) ).
fof(f3077,plain,
( e13 != op1(e10,op1(e10,e13))
| spl144_384 ),
inference(avatar_component_clause,[],[f3076]) ).
fof(f5961,plain,
( ~ spl144_291
| ~ spl144_315
| ~ spl144_385 ),
inference(avatar_contradiction_clause,[],[f5960]) ).
fof(f5960,plain,
( $false
| ~ spl144_291
| ~ spl144_315
| ~ spl144_385 ),
inference(subsumption_resolution,[],[f5959,f383]) ).
fof(f383,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5959,plain,
( e10 = e12
| ~ spl144_291
| ~ spl144_315
| ~ spl144_385 ),
inference(forward_demodulation,[],[f5958,f2618]) ).
fof(f5958,plain,
( e10 = op1(e10,e11)
| ~ spl144_291
| ~ spl144_385 ),
inference(forward_demodulation,[],[f3082,f2518]) ).
fof(f3082,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl144_385 ),
inference(avatar_component_clause,[],[f3080]) ).
fof(f5957,plain,
( ~ spl144_328
| ~ spl144_180
| ~ spl144_183 ),
inference(avatar_split_clause,[],[f5956,f2019,f2001,f2704]) ).
fof(f2704,plain,
( spl144_328
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_328])]) ).
fof(f2019,plain,
( spl144_183
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_183])]) ).
fof(f5956,plain,
( e21 != h2(e11)
| ~ spl144_180
| ~ spl144_183 ),
inference(forward_demodulation,[],[f5955,f2021]) ).
fof(f2021,plain,
( e21 = op2(e21,e20)
| ~ spl144_183 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f5955,plain,
( op2(e21,e20) != h2(e11)
| ~ spl144_180 ),
inference(forward_demodulation,[],[f415,f5935]) ).
fof(f5935,plain,
( op2(e21,e22) = h2(e11)
| ~ spl144_180 ),
inference(forward_demodulation,[],[f2712,f2003]) ).
fof(f2712,plain,
h2(e11) = op2(e21,h2(e12)),
inference(forward_demodulation,[],[f342,f341]) ).
fof(f342,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f415,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5938,plain,
( ~ spl144_328
| spl144_10
| ~ spl144_180 ),
inference(avatar_split_clause,[],[f5936,f2001,f1211,f2704]) ).
fof(f1211,plain,
( spl144_10
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_10])]) ).
fof(f5936,plain,
( e21 != h2(e11)
| spl144_10
| ~ spl144_180 ),
inference(backward_demodulation,[],[f1213,f5935]) ).
fof(f1213,plain,
( e21 != op2(e21,e22)
| spl144_10 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f5910,plain,
( ~ spl144_79
| ~ spl144_33 ),
inference(avatar_split_clause,[],[f5907,f1314,f1515]) ).
fof(f5907,plain,
( e20 != op2(e20,e22)
| ~ spl144_33 ),
inference(backward_demodulation,[],[f437,f1315]) ).
fof(f5862,plain,
( ~ spl144_181
| ~ spl144_227 ),
inference(avatar_split_clause,[],[f5861,f2241,f2007]) ).
fof(f2241,plain,
( spl144_227
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_227])]) ).
fof(f5861,plain,
( e21 != h2(e12)
| ~ spl144_227 ),
inference(forward_demodulation,[],[f3207,f2243]) ).
fof(f2243,plain,
( e21 = op2(e20,e21)
| ~ spl144_227 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f3207,plain,
op2(e20,e21) != h2(e12),
inference(forward_demodulation,[],[f435,f341]) ).
fof(f435,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5845,plain,
( ~ spl144_124
| ~ spl144_227 ),
inference(avatar_contradiction_clause,[],[f5844]) ).
fof(f5844,plain,
( $false
| ~ spl144_124
| ~ spl144_227 ),
inference(subsumption_resolution,[],[f5843,f321]) ).
fof(f5843,plain,
( e21 = e22
| ~ spl144_124
| ~ spl144_227 ),
inference(forward_demodulation,[],[f1728,f2243]) ).
fof(f5828,plain,
( ~ spl144_97
| ~ spl144_159
| ~ spl144_382 ),
inference(avatar_contradiction_clause,[],[f5827]) ).
fof(f5827,plain,
( $false
| ~ spl144_97
| ~ spl144_159
| ~ spl144_382 ),
inference(subsumption_resolution,[],[f5826,f385]) ).
fof(f5826,plain,
( e12 = e13
| ~ spl144_97
| ~ spl144_159
| ~ spl144_382 ),
inference(forward_demodulation,[],[f5825,f1601]) ).
fof(f1601,plain,
( op1(e10,e10) = e13
| ~ spl144_97 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f1599,plain,
( spl144_97
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_97])]) ).
fof(f5825,plain,
( op1(e10,e10) = e12
| ~ spl144_159
| ~ spl144_382 ),
inference(forward_demodulation,[],[f3070,f1896]) ).
fof(f3070,plain,
( e12 = op1(e10,op1(e10,e12))
| ~ spl144_382 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f5794,plain,
( ~ spl144_97
| ~ spl144_322
| ~ spl144_385 ),
inference(avatar_contradiction_clause,[],[f5793]) ).
fof(f5793,plain,
( $false
| ~ spl144_97
| ~ spl144_322
| ~ spl144_385 ),
inference(subsumption_resolution,[],[f5792,f382]) ).
fof(f5792,plain,
( e10 = e11
| ~ spl144_97
| ~ spl144_322
| ~ spl144_385 ),
inference(forward_demodulation,[],[f5791,f2659]) ).
fof(f2659,plain,
( e11 = op1(e10,e13)
| ~ spl144_322 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f2657,plain,
( spl144_322
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_322])]) ).
fof(f5791,plain,
( e10 = op1(e10,e13)
| ~ spl144_97
| ~ spl144_385 ),
inference(forward_demodulation,[],[f3082,f1601]) ).
fof(f5790,plain,
( ~ spl144_376
| ~ spl144_394
| ~ spl144_398 ),
inference(avatar_contradiction_clause,[],[f5789]) ).
fof(f5789,plain,
( $false
| ~ spl144_376
| ~ spl144_394
| ~ spl144_398 ),
inference(subsumption_resolution,[],[f5788,f320]) ).
fof(f320,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5788,plain,
( e20 = e22
| ~ spl144_376
| ~ spl144_394
| ~ spl144_398 ),
inference(forward_demodulation,[],[f5787,f3010]) ).
fof(f5787,plain,
( e22 = op2(e21,e23)
| ~ spl144_394
| ~ spl144_398 ),
inference(forward_demodulation,[],[f3261,f3212]) ).
fof(f5747,plain,
( ~ spl144_159
| ~ spl144_315
| ~ spl144_383 ),
inference(avatar_contradiction_clause,[],[f5746]) ).
fof(f5746,plain,
( $false
| ~ spl144_159
| ~ spl144_315
| ~ spl144_383 ),
inference(subsumption_resolution,[],[f5745,f382]) ).
fof(f5745,plain,
( e10 = e11
| ~ spl144_159
| ~ spl144_315
| ~ spl144_383 ),
inference(forward_demodulation,[],[f5623,f1896]) ).
fof(f5623,plain,
( e11 = op1(e10,e12)
| ~ spl144_315
| ~ spl144_383 ),
inference(forward_demodulation,[],[f3074,f2618]) ).
fof(f3074,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ spl144_383 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3072,plain,
( spl144_383
<=> e11 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_383])]) ).
fof(f5744,plain,
( ~ spl144_183
| ~ spl144_376
| ~ spl144_396 ),
inference(avatar_contradiction_clause,[],[f5743]) ).
fof(f5743,plain,
( $false
| ~ spl144_183
| ~ spl144_376
| ~ spl144_396 ),
inference(subsumption_resolution,[],[f5742,f319]) ).
fof(f5742,plain,
( e21 = e23
| ~ spl144_183
| ~ spl144_376
| ~ spl144_396 ),
inference(forward_demodulation,[],[f5741,f2021]) ).
fof(f5741,plain,
( e23 = op2(e21,e20)
| ~ spl144_376
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3253,f3010]) ).
fof(f5709,plain,
( ~ spl144_152
| ~ spl144_97 ),
inference(avatar_split_clause,[],[f5708,f1599,f1863]) ).
fof(f5708,plain,
( e13 != op1(e10,e12)
| ~ spl144_97 ),
inference(forward_demodulation,[],[f1078,f1601]) ).
fof(f1078,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5704,plain,
( ~ spl144_24
| ~ spl144_22 ),
inference(avatar_split_clause,[],[f5703,f1266,f1274]) ).
fof(f5703,plain,
( e10 != op1(e11,e12)
| ~ spl144_22 ),
inference(forward_demodulation,[],[f1077,f1268]) ).
fof(f5701,plain,
( ~ spl144_377
| ~ spl144_202 ),
inference(avatar_split_clause,[],[f5700,f2117,f3012]) ).
fof(f3012,plain,
( spl144_377
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_377])]) ).
fof(f5700,plain,
( e20 != op2(e22,e23)
| ~ spl144_202 ),
inference(forward_demodulation,[],[f433,f2119]) ).
fof(f433,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5684,plain,
( ~ spl144_180
| ~ spl144_183
| ~ spl144_397 ),
inference(avatar_contradiction_clause,[],[f5683]) ).
fof(f5683,plain,
( $false
| ~ spl144_180
| ~ spl144_183
| ~ spl144_397 ),
inference(subsumption_resolution,[],[f5682,f320]) ).
fof(f5682,plain,
( e20 = e22
| ~ spl144_180
| ~ spl144_183
| ~ spl144_397 ),
inference(forward_demodulation,[],[f5680,f5277]) ).
fof(f5277,plain,
( e22 = op2(e21,e21)
| ~ spl144_180 ),
inference(forward_demodulation,[],[f341,f2003]) ).
fof(f5680,plain,
( e20 = op2(e21,e21)
| ~ spl144_183
| ~ spl144_397 ),
inference(backward_demodulation,[],[f3257,f2021]) ).
fof(f5653,plain,
( ~ spl144_152
| ~ spl144_159 ),
inference(avatar_contradiction_clause,[],[f5652]) ).
fof(f5652,plain,
( $false
| ~ spl144_152
| ~ spl144_159 ),
inference(subsumption_resolution,[],[f5651,f381]) ).
fof(f5651,plain,
( e10 = e13
| ~ spl144_152
| ~ spl144_159 ),
inference(forward_demodulation,[],[f1896,f1865]) ).
fof(f5626,plain,
( ~ spl144_152
| ~ spl144_315
| ~ spl144_383 ),
inference(avatar_contradiction_clause,[],[f5625]) ).
fof(f5625,plain,
( $false
| ~ spl144_152
| ~ spl144_315
| ~ spl144_383 ),
inference(subsumption_resolution,[],[f5624,f384]) ).
fof(f5624,plain,
( e11 = e13
| ~ spl144_152
| ~ spl144_315
| ~ spl144_383 ),
inference(forward_demodulation,[],[f5623,f1865]) ).
fof(f5621,plain,
( ~ spl144_102
| ~ spl144_116 ),
inference(avatar_contradiction_clause,[],[f5620]) ).
fof(f5620,plain,
( $false
| ~ spl144_102
| ~ spl144_116 ),
inference(subsumption_resolution,[],[f5619,f319]) ).
fof(f5619,plain,
( e21 = e23
| ~ spl144_102
| ~ spl144_116 ),
inference(forward_demodulation,[],[f1624,f1688]) ).
fof(f5612,plain,
( ~ spl144_346
| ~ spl144_156 ),
inference(avatar_split_clause,[],[f5309,f1881,f2821]) ).
fof(f2821,plain,
( spl144_346
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_346])]) ).
fof(f5309,plain,
( e20 != op2(e21,e20)
| ~ spl144_156 ),
inference(forward_demodulation,[],[f449,f1883]) ).
fof(f449,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5586,plain,
( ~ spl144_112
| ~ spl144_198 ),
inference(avatar_contradiction_clause,[],[f5585]) ).
fof(f5585,plain,
( $false
| ~ spl144_112
| ~ spl144_198 ),
inference(subsumption_resolution,[],[f5584,f385]) ).
fof(f5584,plain,
( e12 = e13
| ~ spl144_112
| ~ spl144_198 ),
inference(forward_demodulation,[],[f1669,f2099]) ).
fof(f5582,plain,
( ~ spl144_125
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4738,f3182,f1730]) ).
fof(f1730,plain,
( spl144_125
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_125])]) ).
fof(f4738,plain,
( e22 != op2(e20,e23)
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3770,f3183]) ).
fof(f3770,plain,
op2(e20,e23) != h4(e12),
inference(forward_demodulation,[],[f412,f314]) ).
fof(f412,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5571,plain,
( spl144_45
| ~ spl144_79
| ~ spl144_372 ),
inference(avatar_split_clause,[],[f5570,f2968,f1515,f1368]) ).
fof(f1368,plain,
( spl144_45
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_45])]) ).
fof(f2968,plain,
( spl144_372
<=> e22 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_372])]) ).
fof(f5570,plain,
( op2(e20,e20) = e22
| ~ spl144_79
| ~ spl144_372 ),
inference(forward_demodulation,[],[f2970,f1517]) ).
fof(f2970,plain,
( e22 = op2(e20,op2(e20,e22))
| ~ spl144_372 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f5530,plain,
( ~ spl144_418
| ~ spl144_156 ),
inference(avatar_split_clause,[],[f5529,f1881,f3435]) ).
fof(f3435,plain,
( spl144_418
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_418])]) ).
fof(f5529,plain,
( e20 != h1(e12)
| ~ spl144_156 ),
inference(forward_demodulation,[],[f3680,f1883]) ).
fof(f3680,plain,
op2(e23,e20) != h1(e12),
inference(backward_demodulation,[],[f450,f377]) ).
fof(f450,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5526,plain,
( ~ spl144_254
| ~ spl144_130 ),
inference(avatar_split_clause,[],[f5525,f1753,f2359]) ).
fof(f1753,plain,
( spl144_130
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_130])]) ).
fof(f5525,plain,
( e23 != op2(e20,e23)
| ~ spl144_130 ),
inference(forward_demodulation,[],[f420,f1755]) ).
fof(f1755,plain,
( e23 = op2(e22,e23)
| ~ spl144_130 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f420,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5474,plain,
( ~ spl144_5
| ~ spl144_322 ),
inference(avatar_contradiction_clause,[],[f5473]) ).
fof(f5473,plain,
( $false
| ~ spl144_5
| ~ spl144_322 ),
inference(subsumption_resolution,[],[f5472,f382]) ).
fof(f5472,plain,
( e10 = e11
| ~ spl144_5
| ~ spl144_322 ),
inference(forward_demodulation,[],[f1191,f2659]) ).
fof(f5404,plain,
( ~ spl144_45
| ~ spl144_99 ),
inference(avatar_contradiction_clause,[],[f5403]) ).
fof(f5403,plain,
( $false
| ~ spl144_45
| ~ spl144_99 ),
inference(subsumption_resolution,[],[f5402,f316]) ).
fof(f5402,plain,
( e22 = e23
| ~ spl144_45
| ~ spl144_99 ),
inference(forward_demodulation,[],[f1370,f1612]) ).
fof(f1612,plain,
( op2(e20,e20) = e23
| ~ spl144_99 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1370,plain,
( op2(e20,e20) = e22
| ~ spl144_45 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f5397,plain,
( ~ spl144_127
| ~ spl144_141 ),
inference(avatar_contradiction_clause,[],[f5396]) ).
fof(f5396,plain,
( $false
| ~ spl144_127
| ~ spl144_141 ),
inference(subsumption_resolution,[],[f5395,f1742]) ).
fof(f1742,plain,
( e11 = op1(e13,e11)
| ~ spl144_127 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1740,plain,
( spl144_127
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_127])]) ).
fof(f5395,plain,
( e11 != op1(e13,e11)
| ~ spl144_141 ),
inference(forward_demodulation,[],[f1064,f1808]) ).
fof(f1064,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5394,plain,
( spl144_439
| ~ spl144_380
| ~ spl144_402 ),
inference(avatar_split_clause,[],[f5393,f3282,f3049,f3738]) ).
fof(f5393,plain,
( e21 = h1(e11)
| ~ spl144_380
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3051,f5322]) ).
fof(f5322,plain,
( op2(e20,e23) = h1(e11)
| ~ spl144_402 ),
inference(backward_demodulation,[],[f3698,f3283]) ).
fof(f5357,plain,
( ~ spl144_345
| ~ spl144_141 ),
inference(avatar_split_clause,[],[f5356,f1806,f2814]) ).
fof(f2814,plain,
( spl144_345
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_345])]) ).
fof(f5356,plain,
( e11 != op1(e13,e10)
| ~ spl144_141 ),
inference(backward_demodulation,[],[f1084,f1808]) ).
fof(f1084,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5250,plain,
( spl144_141
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4229,f2607,f1806]) ).
fof(f4229,plain,
( e11 = op1(e13,e12)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1037,f2609]) ).
fof(f1037,plain,
e11 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e11 = op1(e13,op1(e13,e13))
& e10 = op1(op1(e13,e13),op1(e13,op1(e13,e13)))
& e12 = op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f5246,plain,
( ~ spl144_321
| ~ spl144_322 ),
inference(avatar_split_clause,[],[f5245,f2657,f2653]) ).
fof(f5245,plain,
( e11 != op1(e12,e13)
| ~ spl144_322 ),
inference(forward_demodulation,[],[f1074,f2659]) ).
fof(f5244,plain,
( ~ spl144_315
| ~ spl144_322
| ~ spl144_384 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5243,plain,
( $false
| ~ spl144_315
| ~ spl144_322
| ~ spl144_384 ),
inference(subsumption_resolution,[],[f5242,f385]) ).
fof(f5242,plain,
( e12 = e13
| ~ spl144_315
| ~ spl144_322
| ~ spl144_384 ),
inference(forward_demodulation,[],[f5241,f2618]) ).
fof(f5241,plain,
( e13 = op1(e10,e11)
| ~ spl144_322
| ~ spl144_384 ),
inference(backward_demodulation,[],[f3078,f2659]) ).
fof(f5240,plain,
( ~ spl144_331
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4263,f2607,f2728]) ).
fof(f2728,plain,
( spl144_331
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_331])]) ).
fof(f4263,plain,
( e12 != op1(e13,e11)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1054,f2609]) ).
fof(f1054,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5239,plain,
( ~ spl144_10
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4526,f2051,f1211]) ).
fof(f4526,plain,
( e21 != op2(e21,e22)
| ~ spl144_190 ),
inference(forward_demodulation,[],[f447,f2053]) ).
fof(f447,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5237,plain,
( ~ spl144_107
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4679,f3182,f1646]) ).
fof(f1646,plain,
( spl144_107
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_107])]) ).
fof(f4679,plain,
( e22 != op2(e23,e20)
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3665,f3183]) ).
fof(f3665,plain,
op2(e23,e20) != h4(e12),
inference(backward_demodulation,[],[f417,f314]) ).
fof(f417,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5233,plain,
( ~ spl144_325
| ~ spl144_251 ),
inference(avatar_split_clause,[],[f5232,f2344,f2676]) ).
fof(f2676,plain,
( spl144_325
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_325])]) ).
fof(f5232,plain,
( e10 != op1(e13,e11)
| ~ spl144_251 ),
inference(forward_demodulation,[],[f1052,f2346]) ).
fof(f1052,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5231,plain,
( ~ spl144_367
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4787,f2051,f2923]) ).
fof(f2923,plain,
( spl144_367
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_367])]) ).
fof(f4787,plain,
( e21 != op2(e23,e20)
| ~ spl144_190 ),
inference(forward_demodulation,[],[f421,f2053]) ).
fof(f421,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5196,plain,
( ~ spl144_24
| ~ spl144_153 ),
inference(avatar_contradiction_clause,[],[f5195]) ).
fof(f5195,plain,
( $false
| ~ spl144_24
| ~ spl144_153 ),
inference(subsumption_resolution,[],[f5194,f381]) ).
fof(f5194,plain,
( e10 = e13
| ~ spl144_24
| ~ spl144_153 ),
inference(forward_demodulation,[],[f1276,f1869]) ).
fof(f5178,plain,
( ~ spl144_126
| ~ spl144_315 ),
inference(avatar_contradiction_clause,[],[f5177]) ).
fof(f5177,plain,
( $false
| ~ spl144_126
| ~ spl144_315 ),
inference(subsumption_resolution,[],[f5176,f386]) ).
fof(f5176,plain,
( e11 = e12
| ~ spl144_126
| ~ spl144_315 ),
inference(forward_demodulation,[],[f1738,f2618]) ).
fof(f1738,plain,
( e11 = op1(e10,e11)
| ~ spl144_126 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1736,plain,
( spl144_126
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_126])]) ).
fof(f5169,plain,
( ~ spl144_45
| ~ spl144_105 ),
inference(avatar_contradiction_clause,[],[f5168]) ).
fof(f5168,plain,
( $false
| ~ spl144_45
| ~ spl144_105 ),
inference(subsumption_resolution,[],[f5167,f321]) ).
fof(f5167,plain,
( e21 = e22
| ~ spl144_45
| ~ spl144_105 ),
inference(forward_demodulation,[],[f1370,f1639]) ).
fof(f5166,plain,
( ~ spl144_326
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f5165,f1244,f2684]) ).
fof(f2684,plain,
( spl144_326
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_326])]) ).
fof(f5165,plain,
( e13 != op1(e11,e11)
| ~ spl144_17 ),
inference(forward_demodulation,[],[f1073,f1246]) ).
fof(f1073,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5164,plain,
( ~ spl144_17
| ~ spl144_93 ),
inference(avatar_contradiction_clause,[],[f5163]) ).
fof(f5163,plain,
( $false
| ~ spl144_17
| ~ spl144_93 ),
inference(subsumption_resolution,[],[f5162,f1246]) ).
fof(f5162,plain,
( e13 != op1(e13,e11)
| ~ spl144_93 ),
inference(forward_demodulation,[],[f1064,f1581]) ).
fof(f1581,plain,
( e13 = op1(e13,e12)
| ~ spl144_93 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1579,plain,
( spl144_93
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_93])]) ).
fof(f5137,plain,
( ~ spl144_202
| ~ spl144_203 ),
inference(avatar_split_clause,[],[f4862,f2121,f2117]) ).
fof(f2121,plain,
( spl144_203
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_203])]) ).
fof(f4862,plain,
( e20 != op2(e22,e21)
| ~ spl144_203 ),
inference(forward_demodulation,[],[f446,f2123]) ).
fof(f2123,plain,
( e20 = op2(e23,e21)
| ~ spl144_203 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f446,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5113,plain,
( ~ spl144_90
| ~ spl144_190 ),
inference(avatar_contradiction_clause,[],[f5112]) ).
fof(f5112,plain,
( $false
| ~ spl144_90
| ~ spl144_190 ),
inference(subsumption_resolution,[],[f5111,f318]) ).
fof(f5111,plain,
( e20 = e21
| ~ spl144_90
| ~ spl144_190 ),
inference(forward_demodulation,[],[f1567,f2053]) ).
fof(f1567,plain,
( e20 = op2(e23,e22)
| ~ spl144_90 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1565,plain,
( spl144_90
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_90])]) ).
fof(f5075,plain,
( spl144_89
| ~ spl144_18
| ~ spl144_412 ),
inference(avatar_split_clause,[],[f5074,f3361,f1249,f1561]) ).
fof(f1561,plain,
( spl144_89
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_89])]) ).
fof(f3361,plain,
( spl144_412
<=> e20 = op2(e22,op2(e22,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_412])]) ).
fof(f5074,plain,
( e20 = op2(e22,e22)
| ~ spl144_18
| ~ spl144_412 ),
inference(forward_demodulation,[],[f3363,f1251]) ).
fof(f3363,plain,
( e20 = op2(e22,op2(e22,e20))
| ~ spl144_412 ),
inference(avatar_component_clause,[],[f3361]) ).
fof(f5066,plain,
( ~ spl144_188
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f5065,f1974,f2042]) ).
fof(f5065,plain,
( e13 != op1(e11,e13)
| ~ spl144_175 ),
inference(forward_demodulation,[],[f1070,f1976]) ).
fof(f1070,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5057,plain,
( spl144_202
| ~ spl144_381
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4414,f3182,f3061,f2117]) ).
fof(f4414,plain,
( e20 = op2(e22,e21)
| ~ spl144_381
| ~ spl144_392 ),
inference(backward_demodulation,[],[f3832,f3183]) ).
fof(f3832,plain,
( e20 = op2(h4(e12),e21)
| ~ spl144_381 ),
inference(backward_demodulation,[],[f3669,f3062]) ).
fof(f3669,plain,
h4(e10) = op2(h4(e12),e21),
inference(backward_demodulation,[],[f3147,f314]) ).
fof(f3147,plain,
h4(e10) = op2(op2(e23,e23),e21),
inference(forward_demodulation,[],[f313,f324]) ).
fof(f324,plain,
e21 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(e23,op2(e23,e23))
& e22 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(e23,op2(e23,e23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f313,plain,
op2(op2(e23,e23),op2(e23,op2(e23,e23))) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f5031,plain,
( ~ spl144_25
| ~ spl144_251 ),
inference(avatar_split_clause,[],[f4791,f2344,f1278]) ).
fof(f1278,plain,
( spl144_25
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_25])]) ).
fof(f4791,plain,
( e10 != op1(e11,e11)
| ~ spl144_251 ),
inference(forward_demodulation,[],[f1061,f2346]) ).
fof(f1061,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5026,plain,
( ~ spl144_33
| ~ spl144_372
| ~ spl144_386 ),
inference(avatar_contradiction_clause,[],[f5025]) ).
fof(f5025,plain,
( $false
| ~ spl144_33
| ~ spl144_372
| ~ spl144_386 ),
inference(subsumption_resolution,[],[f5024,f320]) ).
fof(f5024,plain,
( e20 = e22
| ~ spl144_33
| ~ spl144_372
| ~ spl144_386 ),
inference(forward_demodulation,[],[f5023,f1315]) ).
fof(f5023,plain,
( e22 = op2(e20,e23)
| ~ spl144_372
| ~ spl144_386 ),
inference(forward_demodulation,[],[f2970,f3093]) ).
fof(f5007,plain,
( ~ spl144_199
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4214,f2607,f2101]) ).
fof(f2101,plain,
( spl144_199
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_199])]) ).
fof(f4214,plain,
( e12 != op1(e13,e10)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1068,f2609]) ).
fof(f1068,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4909,plain,
( ~ spl144_153
| ~ spl144_160
| ~ spl144_224 ),
inference(avatar_contradiction_clause,[],[f4908]) ).
fof(f4908,plain,
( $false
| ~ spl144_153
| ~ spl144_160
| ~ spl144_224 ),
inference(subsumption_resolution,[],[f4907,f384]) ).
fof(f4907,plain,
( e11 = e13
| ~ spl144_153
| ~ spl144_160
| ~ spl144_224 ),
inference(forward_demodulation,[],[f4906,f1869]) ).
fof(f4906,plain,
( e11 = op1(e11,e12)
| ~ spl144_160
| ~ spl144_224 ),
inference(forward_demodulation,[],[f2229,f1901]) ).
fof(f4876,plain,
( ~ spl144_250
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f4875]) ).
fof(f4875,plain,
( $false
| ~ spl144_250
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f4874,f381]) ).
fof(f4874,plain,
( e10 = e13
| ~ spl144_250
| ~ spl144_251 ),
inference(forward_demodulation,[],[f2342,f2346]) ).
fof(f2342,plain,
( e13 = op1(e12,e11)
| ~ spl144_250 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f2340,plain,
( spl144_250
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_250])]) ).
fof(f4873,plain,
( ~ spl144_146
| ~ spl144_251 ),
inference(avatar_split_clause,[],[f4647,f2344,f1831]) ).
fof(f1831,plain,
( spl144_146
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f4647,plain,
( e10 != op1(e10,e11)
| ~ spl144_251 ),
inference(forward_demodulation,[],[f1040,f2346]) ).
fof(f1040,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4848,plain,
( ~ spl144_221
| ~ spl144_313 ),
inference(avatar_contradiction_clause,[],[f4847]) ).
fof(f4847,plain,
( $false
| ~ spl144_221
| ~ spl144_313 ),
inference(subsumption_resolution,[],[f4846,f382]) ).
fof(f4846,plain,
( e10 = e11
| ~ spl144_221
| ~ spl144_313 ),
inference(forward_demodulation,[],[f4229,f2216]) ).
fof(f2216,plain,
( e10 = op1(e13,e12)
| ~ spl144_221 ),
inference(avatar_component_clause,[],[f2214]) ).
fof(f2214,plain,
( spl144_221
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f4826,plain,
( ~ spl144_108
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4465,f3182,f1650]) ).
fof(f1650,plain,
( spl144_108
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_108])]) ).
fof(f4465,plain,
( e22 != op2(e23,e21)
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3666,f3183]) ).
fof(f3666,plain,
op2(e23,e21) != h4(e12),
inference(backward_demodulation,[],[f422,f314]) ).
fof(f422,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4823,plain,
( ~ spl144_388
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4615,f2051,f3142]) ).
fof(f3142,plain,
( spl144_388
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_388])]) ).
fof(f4615,plain,
( e21 != op2(e20,e22)
| ~ spl144_190 ),
inference(forward_demodulation,[],[f441,f2053]) ).
fof(f441,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4815,plain,
( ~ spl144_5
| ~ spl144_22 ),
inference(avatar_split_clause,[],[f4814,f1266,f1189]) ).
fof(f4814,plain,
( e10 != op1(e10,e13)
| ~ spl144_22 ),
inference(forward_demodulation,[],[f1070,f1268]) ).
fof(f4805,plain,
( ~ spl144_190
| ~ spl144_318 ),
inference(avatar_contradiction_clause,[],[f4804]) ).
fof(f4804,plain,
( $false
| ~ spl144_190
| ~ spl144_318 ),
inference(subsumption_resolution,[],[f4475,f2633]) ).
fof(f2633,plain,
( e21 = op2(e23,e21)
| ~ spl144_318 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f2631,plain,
( spl144_318
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_318])]) ).
fof(f4475,plain,
( e21 != op2(e23,e21)
| ~ spl144_190 ),
inference(forward_demodulation,[],[f424,f2053]) ).
fof(f424,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4735,plain,
( ~ spl144_313
| ~ spl144_316 ),
inference(avatar_contradiction_clause,[],[f4734]) ).
fof(f4734,plain,
( $false
| ~ spl144_313
| ~ spl144_316 ),
inference(subsumption_resolution,[],[f4123,f2622]) ).
fof(f2622,plain,
( e12 = op1(e10,e13)
| ~ spl144_316 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f2620,plain,
( spl144_316
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f4123,plain,
( e12 != op1(e10,e13)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1072,f2609]) ).
fof(f1072,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4717,plain,
( spl144_19
| ~ spl144_91
| ~ spl144_378 ),
inference(avatar_contradiction_clause,[],[f4716]) ).
fof(f4716,plain,
( $false
| spl144_19
| ~ spl144_91
| ~ spl144_378 ),
inference(subsumption_resolution,[],[f4710,f1254]) ).
fof(f1254,plain,
( e22 != op2(e22,e23)
| spl144_19 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl144_19
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_19])]) ).
fof(f4710,plain,
( e22 = op2(e22,e23)
| ~ spl144_91
| ~ spl144_378 ),
inference(backward_demodulation,[],[f3811,f1571]) ).
fof(f1571,plain,
( e23 = h3(e12)
| ~ spl144_91 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1570,plain,
( spl144_91
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_91])]) ).
fof(f3811,plain,
( e22 = op2(e22,h3(e12))
| ~ spl144_378 ),
inference(backward_demodulation,[],[f3751,f3021]) ).
fof(f3021,plain,
( e22 = h3(e11)
| ~ spl144_378 ),
inference(avatar_component_clause,[],[f3020]) ).
fof(f3020,plain,
( spl144_378
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_378])]) ).
fof(f3751,plain,
h3(e11) = op2(e22,h3(e12)),
inference(backward_demodulation,[],[f1104,f1103]) ).
fof(f1104,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f4683,plain,
( ~ spl144_321
| ~ spl144_327 ),
inference(avatar_contradiction_clause,[],[f4682]) ).
fof(f4682,plain,
( $false
| ~ spl144_321
| ~ spl144_327 ),
inference(subsumption_resolution,[],[f4681,f384]) ).
fof(f4681,plain,
( e11 = e13
| ~ spl144_321
| ~ spl144_327 ),
inference(forward_demodulation,[],[f2698,f2655]) ).
fof(f2698,plain,
( e13 = op1(e12,e13)
| ~ spl144_327 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f4657,plain,
( ~ spl144_66
| ~ spl144_109 ),
inference(avatar_contradiction_clause,[],[f4656]) ).
fof(f4656,plain,
( $false
| ~ spl144_66
| ~ spl144_109 ),
inference(subsumption_resolution,[],[f4655,f320]) ).
fof(f4655,plain,
( e20 = e22
| ~ spl144_66
| ~ spl144_109 ),
inference(forward_demodulation,[],[f1457,f1656]) ).
fof(f1457,plain,
( e20 = op2(e23,e23)
| ~ spl144_66 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl144_66
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_66])]) ).
fof(f4641,plain,
( ~ spl144_38
| ~ spl144_251
| ~ spl144_427 ),
inference(avatar_contradiction_clause,[],[f4640]) ).
fof(f4640,plain,
( $false
| ~ spl144_38
| ~ spl144_251
| ~ spl144_427 ),
inference(subsumption_resolution,[],[f4639,f386]) ).
fof(f4639,plain,
( e11 = e12
| ~ spl144_38
| ~ spl144_251
| ~ spl144_427 ),
inference(forward_demodulation,[],[f4638,f1339]) ).
fof(f4638,plain,
( e11 = op1(e12,e10)
| ~ spl144_251
| ~ spl144_427 ),
inference(forward_demodulation,[],[f3596,f2346]) ).
fof(f3596,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ spl144_427 ),
inference(avatar_component_clause,[],[f3594]) ).
fof(f3594,plain,
( spl144_427
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_427])]) ).
fof(f4633,plain,
( ~ spl144_71
| ~ spl144_160
| ~ spl144_223 ),
inference(avatar_contradiction_clause,[],[f4632]) ).
fof(f4632,plain,
( $false
| ~ spl144_71
| ~ spl144_160
| ~ spl144_223 ),
inference(subsumption_resolution,[],[f4631,f383]) ).
fof(f4631,plain,
( e10 = e12
| ~ spl144_71
| ~ spl144_160
| ~ spl144_223 ),
inference(forward_demodulation,[],[f4630,f1901]) ).
fof(f4630,plain,
( e10 = op1(e11,e11)
| ~ spl144_71
| ~ spl144_223 ),
inference(forward_demodulation,[],[f2225,f1479]) ).
fof(f1479,plain,
( e11 = op1(e11,e10)
| ~ spl144_71 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1478,plain,
( spl144_71
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_71])]) ).
fof(f4600,plain,
( ~ spl144_151
| ~ spl144_321 ),
inference(avatar_split_clause,[],[f4491,f2653,f1858]) ).
fof(f4491,plain,
( e11 != op1(e11,e13)
| ~ spl144_321 ),
inference(forward_demodulation,[],[f1069,f2655]) ).
fof(f1069,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4595,plain,
( spl144_42
| ~ spl144_207
| ~ spl144_352 ),
inference(avatar_contradiction_clause,[],[f4594]) ).
fof(f4594,plain,
( $false
| spl144_42
| ~ spl144_207
| ~ spl144_352 ),
inference(subsumption_resolution,[],[f4535,f1357]) ).
fof(f1357,plain,
( e20 != op2(e20,e21)
| spl144_42 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl144_42
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_42])]) ).
fof(f4535,plain,
( e20 = op2(e20,e21)
| ~ spl144_207
| ~ spl144_352 ),
inference(backward_demodulation,[],[f4227,f2862]) ).
fof(f4227,plain,
( e20 = op2(e20,h1(e12))
| ~ spl144_207 ),
inference(backward_demodulation,[],[f3698,f2141]) ).
fof(f2141,plain,
( e20 = h1(e11)
| ~ spl144_207 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f4576,plain,
( ~ spl144_19
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4573,f3182,f1253]) ).
fof(f4573,plain,
( e22 != op2(e22,e23)
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3664,f3183]) ).
fof(f3664,plain,
op2(e22,e23) != h4(e12),
inference(backward_demodulation,[],[f409,f314]) ).
fof(f409,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4568,plain,
( ~ spl144_97
| ~ spl144_291 ),
inference(avatar_contradiction_clause,[],[f4567]) ).
fof(f4567,plain,
( $false
| ~ spl144_97
| ~ spl144_291 ),
inference(subsumption_resolution,[],[f4566,f384]) ).
fof(f4566,plain,
( e11 = e13
| ~ spl144_97
| ~ spl144_291 ),
inference(forward_demodulation,[],[f2518,f1601]) ).
fof(f4557,plain,
( ~ spl144_26
| ~ spl144_313 ),
inference(avatar_contradiction_clause,[],[f4556]) ).
fof(f4556,plain,
( $false
| ~ spl144_26
| ~ spl144_313 ),
inference(subsumption_resolution,[],[f4555,f383]) ).
fof(f4555,plain,
( e10 = e12
| ~ spl144_26
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1285,f2609]) ).
fof(f1285,plain,
( e10 = op1(e13,e13)
| ~ spl144_26 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1283,plain,
( spl144_26
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_26])]) ).
fof(f4506,plain,
( ~ spl144_97
| ~ spl144_175 ),
inference(avatar_contradiction_clause,[],[f4505]) ).
fof(f4505,plain,
( $false
| ~ spl144_97
| ~ spl144_175 ),
inference(subsumption_resolution,[],[f4504,f1601]) ).
fof(f4504,plain,
( op1(e10,e10) != e13
| ~ spl144_175 ),
inference(forward_demodulation,[],[f1075,f1976]) ).
fof(f1075,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4480,plain,
( ~ spl144_344
| ~ spl144_321 ),
inference(avatar_split_clause,[],[f4479,f2653,f2810]) ).
fof(f2810,plain,
( spl144_344
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_344])]) ).
fof(f4479,plain,
( e11 != op1(e12,e10)
| ~ spl144_321 ),
inference(forward_demodulation,[],[f1062,f2655]) ).
fof(f4452,plain,
( spl144_91
| ~ spl144_194 ),
inference(avatar_contradiction_clause,[],[f4451]) ).
fof(f4451,plain,
( $false
| spl144_91
| ~ spl144_194 ),
inference(subsumption_resolution,[],[f4450,f1572]) ).
fof(f1572,plain,
( e23 != h3(e12)
| spl144_91 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f4450,plain,
( e23 = h3(e12)
| ~ spl144_194 ),
inference(forward_demodulation,[],[f2074,f1103]) ).
fof(f2074,plain,
( e23 = op2(e22,e22)
| ~ spl144_194 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2072,plain,
( spl144_194
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_194])]) ).
fof(f4442,plain,
( ~ spl144_70
| ~ spl144_14 ),
inference(avatar_split_clause,[],[f4441,f1230,f1473]) ).
fof(f1473,plain,
( spl144_70
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_70])]) ).
fof(f4441,plain,
( e10 != op1(e10,e10)
| ~ spl144_14 ),
inference(forward_demodulation,[],[f1048,f1232]) ).
fof(f1048,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4430,plain,
( ~ spl144_159
| ~ spl144_314 ),
inference(avatar_contradiction_clause,[],[f4429]) ).
fof(f4429,plain,
( $false
| ~ spl144_159
| ~ spl144_314 ),
inference(subsumption_resolution,[],[f4428,f383]) ).
fof(f4428,plain,
( e10 = e12
| ~ spl144_159
| ~ spl144_314 ),
inference(forward_demodulation,[],[f1896,f2614]) ).
fof(f2614,plain,
( e12 = op1(e10,e12)
| ~ spl144_314 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f4421,plain,
( spl144_190
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f4417,f3182,f2051]) ).
fof(f4417,plain,
( e21 = op2(e23,e22)
| ~ spl144_392 ),
inference(backward_demodulation,[],[f3663,f3183]) ).
fof(f3663,plain,
e21 = op2(e23,h4(e12)),
inference(backward_demodulation,[],[f324,f314]) ).
fof(f4385,plain,
( ~ spl144_189
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4126,f2607,f2046]) ).
fof(f2046,plain,
( spl144_189
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_189])]) ).
fof(f4126,plain,
( e12 != op1(e11,e13)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1041,f2609]) ).
fof(f1041,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4374,plain,
( ~ spl144_42
| ~ spl144_202 ),
inference(avatar_split_clause,[],[f4373,f2117,f1355]) ).
fof(f4373,plain,
( e20 != op2(e20,e21)
| ~ spl144_202 ),
inference(forward_demodulation,[],[f438,f2119]) ).
fof(f438,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4369,plain,
( ~ spl144_186
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f4368]) ).
fof(f4368,plain,
( $false
| ~ spl144_186
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f4367,f383]) ).
fof(f4367,plain,
( e10 = e12
| ~ spl144_186
| ~ spl144_251 ),
inference(forward_demodulation,[],[f2346,f2034]) ).
fof(f2034,plain,
( e12 = op1(e12,e11)
| ~ spl144_186 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2032,plain,
( spl144_186
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_186])]) ).
fof(f4363,plain,
( ~ spl144_426
| ~ spl144_202 ),
inference(avatar_split_clause,[],[f4362,f2117,f3568]) ).
fof(f3568,plain,
( spl144_426
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_426])]) ).
fof(f4362,plain,
( e20 != h3(e12)
| ~ spl144_202 ),
inference(forward_demodulation,[],[f3773,f2119]) ).
fof(f3773,plain,
op2(e22,e21) != h3(e12),
inference(forward_demodulation,[],[f411,f1103]) ).
fof(f411,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4336,plain,
( ~ spl144_101
| ~ spl144_156 ),
inference(avatar_contradiction_clause,[],[f4335]) ).
fof(f4335,plain,
( $false
| ~ spl144_101
| ~ spl144_156 ),
inference(subsumption_resolution,[],[f4334,f317]) ).
fof(f4334,plain,
( e20 = e23
| ~ spl144_101
| ~ spl144_156 ),
inference(forward_demodulation,[],[f1620,f1883]) ).
fof(f1620,plain,
( e23 = op2(e23,e20)
| ~ spl144_101 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1618,plain,
( spl144_101
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_101])]) ).
fof(f4333,plain,
( ~ spl144_327
| ~ spl144_154 ),
inference(avatar_split_clause,[],[f4332,f1871,f2696]) ).
fof(f4332,plain,
( e13 != op1(e12,e13)
| ~ spl144_154 ),
inference(forward_demodulation,[],[f1047,f1873]) ).
fof(f1047,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4331,plain,
( ~ spl144_201
| ~ spl144_202 ),
inference(avatar_split_clause,[],[f4330,f2117,f2113]) ).
fof(f2113,plain,
( spl144_201
<=> e20 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_201])]) ).
fof(f4330,plain,
( e20 != h2(e12)
| ~ spl144_202 ),
inference(forward_demodulation,[],[f3113,f2119]) ).
fof(f3113,plain,
op2(e22,e21) != h2(e12),
inference(forward_demodulation,[],[f416,f341]) ).
fof(f416,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4319,plain,
( ~ spl144_209
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4309,f2607,f2150]) ).
fof(f2150,plain,
( spl144_209
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_209])]) ).
fof(f4309,plain,
( e12 != op1(e12,e13)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1079,f2609]) ).
fof(f1079,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4318,plain,
( ~ spl144_352
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f4317,f1686,f2861]) ).
fof(f4317,plain,
( e21 != h1(e12)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f3676,f1688]) ).
fof(f3676,plain,
op2(e22,e20) != h1(e12),
inference(backward_demodulation,[],[f413,f377]) ).
fof(f413,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4303,plain,
( ~ spl144_200
| ~ spl144_291 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
fof(f4302,plain,
( $false
| ~ spl144_200
| ~ spl144_291 ),
inference(subsumption_resolution,[],[f4301,f386]) ).
fof(f4301,plain,
( e11 = e12
| ~ spl144_200
| ~ spl144_291 ),
inference(forward_demodulation,[],[f2518,f2107]) ).
fof(f4261,plain,
( ~ spl144_91
| ~ spl144_130 ),
inference(avatar_split_clause,[],[f4260,f1753,f1570]) ).
fof(f4260,plain,
( e23 != h3(e12)
| ~ spl144_130 ),
inference(forward_demodulation,[],[f3750,f1755]) ).
fof(f3750,plain,
op2(e22,e23) != h3(e12),
inference(backward_demodulation,[],[f442,f1103]) ).
fof(f442,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4182,plain,
( ~ spl144_22
| ~ spl144_153
| ~ spl144_222 ),
inference(avatar_contradiction_clause,[],[f4181]) ).
fof(f4181,plain,
( $false
| ~ spl144_22
| ~ spl144_153
| ~ spl144_222 ),
inference(subsumption_resolution,[],[f4180,f383]) ).
fof(f4180,plain,
( e10 = e12
| ~ spl144_22
| ~ spl144_153
| ~ spl144_222 ),
inference(forward_demodulation,[],[f4179,f1268]) ).
fof(f4179,plain,
( e12 = op1(e11,e13)
| ~ spl144_153
| ~ spl144_222 ),
inference(forward_demodulation,[],[f2221,f1869]) ).
fof(f2221,plain,
( e12 = op1(e11,op1(e11,e12))
| ~ spl144_222 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2219,plain,
( spl144_222
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_222])]) ).
fof(f4147,plain,
( ~ spl144_11
| ~ spl144_313 ),
inference(avatar_contradiction_clause,[],[f4146]) ).
fof(f4146,plain,
( $false
| ~ spl144_11
| ~ spl144_313 ),
inference(subsumption_resolution,[],[f4145,f385]) ).
fof(f4145,plain,
( e12 = e13
| ~ spl144_11
| ~ spl144_313 ),
inference(forward_demodulation,[],[f1218,f2609]) ).
fof(f1218,plain,
( e13 = op1(e13,e13)
| ~ spl144_11 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl144_11
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_11])]) ).
fof(f4138,plain,
( spl144_387
| ~ spl144_104 ),
inference(avatar_split_clause,[],[f4137,f1631,f3096]) ).
fof(f3096,plain,
( spl144_387
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_387])]) ).
fof(f1631,plain,
( spl144_104
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_104])]) ).
fof(f4137,plain,
( e21 = h3(e12)
| ~ spl144_104 ),
inference(forward_demodulation,[],[f1633,f1103]) ).
fof(f1633,plain,
( e21 = op2(e22,e22)
| ~ spl144_104 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f4136,plain,
( ~ spl144_376
| ~ spl144_33 ),
inference(avatar_split_clause,[],[f4135,f1314,f3008]) ).
fof(f4135,plain,
( e20 != op2(e21,e23)
| ~ spl144_33 ),
inference(forward_demodulation,[],[f405,f1315]) ).
fof(f405,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4120,plain,
( ~ spl144_35
| spl144_418 ),
inference(avatar_contradiction_clause,[],[f4119]) ).
fof(f4119,plain,
( $false
| ~ spl144_35
| spl144_418 ),
inference(subsumption_resolution,[],[f4118,f3437]) ).
fof(f3437,plain,
( e20 != h1(e12)
| spl144_418 ),
inference(avatar_component_clause,[],[f3435]) ).
fof(f4118,plain,
( e20 = h1(e12)
| ~ spl144_35 ),
inference(forward_demodulation,[],[f1325,f377]) ).
fof(f1325,plain,
( e20 = op2(e20,e20)
| ~ spl144_35 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1323,plain,
( spl144_35
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_35])]) ).
fof(f4117,plain,
( ~ spl144_97
| ~ spl144_200 ),
inference(avatar_contradiction_clause,[],[f4116]) ).
fof(f4116,plain,
( $false
| ~ spl144_97
| ~ spl144_200 ),
inference(subsumption_resolution,[],[f4115,f385]) ).
fof(f4115,plain,
( e12 = e13
| ~ spl144_97
| ~ spl144_200 ),
inference(forward_demodulation,[],[f1601,f2107]) ).
fof(f4104,plain,
( spl144_251
| ~ spl144_313 ),
inference(avatar_split_clause,[],[f4103,f2607,f2344]) ).
fof(f4103,plain,
( e10 = op1(e12,e11)
| ~ spl144_313 ),
inference(forward_demodulation,[],[f3614,f2609]) ).
fof(f3614,plain,
e10 = op1(op1(e13,e13),e11),
inference(forward_demodulation,[],[f1036,f1037]) ).
fof(f1036,plain,
e10 = op1(op1(e13,e13),op1(e13,op1(e13,e13))),
inference(cnf_transformation,[],[f12]) ).
fof(f4102,plain,
( ~ spl144_152
| spl144_316
| ~ spl144_382 ),
inference(avatar_contradiction_clause,[],[f4101]) ).
fof(f4101,plain,
( $false
| ~ spl144_152
| spl144_316
| ~ spl144_382 ),
inference(subsumption_resolution,[],[f3992,f2621]) ).
fof(f2621,plain,
( e12 != op1(e10,e13)
| spl144_316 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f3992,plain,
( e12 = op1(e10,e13)
| ~ spl144_152
| ~ spl144_382 ),
inference(backward_demodulation,[],[f3070,f1865]) ).
fof(f4084,plain,
( ~ spl144_38
| ~ spl144_200 ),
inference(avatar_split_clause,[],[f4083,f2105,f1337]) ).
fof(f4083,plain,
( e12 != op1(e12,e10)
| ~ spl144_200 ),
inference(forward_demodulation,[],[f1056,f2107]) ).
fof(f1056,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4075,plain,
( ~ spl144_91
| ~ spl144_102 ),
inference(avatar_split_clause,[],[f4071,f1622,f1570]) ).
fof(f4071,plain,
( e23 != h3(e12)
| ~ spl144_102 ),
inference(backward_demodulation,[],[f3746,f1624]) ).
fof(f4068,plain,
( ~ spl144_133
| ~ spl144_313 ),
inference(avatar_contradiction_clause,[],[f4067]) ).
fof(f4067,plain,
( $false
| ~ spl144_133
| ~ spl144_313 ),
inference(subsumption_resolution,[],[f4066,f386]) ).
fof(f4066,plain,
( e11 = e12
| ~ spl144_133
| ~ spl144_313 ),
inference(forward_demodulation,[],[f2609,f1769]) ).
fof(f1769,plain,
( e11 = op1(e13,e13)
| ~ spl144_133 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f1767,plain,
( spl144_133
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_133])]) ).
fof(f4057,plain,
( ~ spl144_319
| ~ spl144_123 ),
inference(avatar_split_clause,[],[f4054,f1722,f2639]) ).
fof(f1722,plain,
( spl144_123
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_123])]) ).
fof(f4054,plain,
( e22 != h3(e12)
| ~ spl144_123 ),
inference(backward_demodulation,[],[f3747,f1724]) ).
fof(f1724,plain,
( e22 = op2(e20,e22)
| ~ spl144_123 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f3747,plain,
op2(e20,e22) != h3(e12),
inference(backward_demodulation,[],[f430,f1103]) ).
fof(f430,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4026,plain,
( spl144_426
| ~ spl144_89 ),
inference(avatar_split_clause,[],[f4025,f1561,f3568]) ).
fof(f4025,plain,
( e20 = h3(e12)
| ~ spl144_89 ),
inference(forward_demodulation,[],[f1563,f1103]) ).
fof(f1563,plain,
( e20 = op2(e22,e22)
| ~ spl144_89 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f4013,plain,
( spl144_207
| ~ spl144_370 ),
inference(avatar_split_clause,[],[f4012,f2960,f2140]) ).
fof(f2960,plain,
( spl144_370
<=> e20 = op2(e20,op2(e20,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_370])]) ).
fof(f4012,plain,
( e20 = h1(e11)
| ~ spl144_370 ),
inference(forward_demodulation,[],[f4011,f3698]) ).
fof(f4011,plain,
( e20 = op2(e20,h1(e12))
| ~ spl144_370 ),
inference(forward_demodulation,[],[f2962,f377]) ).
fof(f2962,plain,
( e20 = op2(e20,op2(e20,e20))
| ~ spl144_370 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f4003,plain,
( spl144_402
| ~ spl144_99 ),
inference(avatar_split_clause,[],[f4002,f1610,f3282]) ).
fof(f4002,plain,
( e23 = h1(e12)
| ~ spl144_99 ),
inference(forward_demodulation,[],[f1612,f377]) ).
fof(f3991,plain,
( spl144_417
| ~ spl144_45 ),
inference(avatar_split_clause,[],[f3990,f1368,f3425]) ).
fof(f3990,plain,
( e22 = h1(e12)
| ~ spl144_45 ),
inference(forward_demodulation,[],[f1370,f377]) ).
fof(f3986,plain,
( spl144_198
| ~ spl144_24
| ~ spl144_222 ),
inference(avatar_split_clause,[],[f3979,f2219,f1274,f2097]) ).
fof(f3979,plain,
( e12 = op1(e11,e10)
| ~ spl144_24
| ~ spl144_222 ),
inference(backward_demodulation,[],[f2221,f1276]) ).
fof(f3967,plain,
( spl144_392
| ~ spl144_109 ),
inference(avatar_split_clause,[],[f3966,f1654,f3182]) ).
fof(f3966,plain,
( e22 = h4(e12)
| ~ spl144_109 ),
inference(forward_demodulation,[],[f1656,f314]) ).
fof(f3965,plain,
( ~ spl144_110
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f3962,f1244,f1659]) ).
fof(f1659,plain,
( spl144_110
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f3962,plain,
( e13 != op1(e13,e10)
| ~ spl144_17 ),
inference(backward_demodulation,[],[f1045,f1246]) ).
fof(f1045,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3894,plain,
( ~ spl144_321
| ~ spl144_132 ),
inference(avatar_split_clause,[],[f3891,f1762,f2653]) ).
fof(f1762,plain,
( spl144_132
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_132])]) ).
fof(f3891,plain,
( e11 != op1(e12,e13)
| ~ spl144_132 ),
inference(backward_demodulation,[],[f1047,f1764]) ).
fof(f1764,plain,
( e11 = op1(e12,e12)
| ~ spl144_132 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f3866,plain,
( ~ spl144_112
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f3858,f1663,f1667]) ).
fof(f3858,plain,
( e13 != op1(e11,e10)
| ~ spl144_111 ),
inference(backward_demodulation,[],[f1066,f1665]) ).
fof(f1066,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3865,plain,
( ~ spl144_97
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f3856,f1663,f1599]) ).
fof(f3856,plain,
( op1(e10,e10) != e13
| ~ spl144_111 ),
inference(backward_demodulation,[],[f1056,f1665]) ).
fof(f3855,plain,
( ~ spl144_394
| ~ spl144_100 ),
inference(avatar_split_clause,[],[f3849,f1614,f3210]) ).
fof(f3849,plain,
( e23 != op2(e21,e22)
| ~ spl144_100 ),
inference(backward_demodulation,[],[f415,f1616]) ).
fof(f3831,plain,
( spl144_319
| ~ spl144_20 ),
inference(avatar_split_clause,[],[f3830,f1257,f2639]) ).
fof(f3830,plain,
( e22 = h3(e12)
| ~ spl144_20 ),
inference(forward_demodulation,[],[f1259,f1103]) ).
fof(f3809,plain,
( ~ spl144_387
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f3800,f2051,f3096]) ).
fof(f3800,plain,
( e21 != h3(e12)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f3786,f2053]) ).
fof(f3786,plain,
op2(e23,e22) != h3(e12),
inference(forward_demodulation,[],[f427,f1103]) ).
fof(f427,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3798,plain,
( ~ spl144_167
| ~ spl144_81 ),
inference(avatar_split_clause,[],[f3789,f1524,f1932]) ).
fof(f1932,plain,
( spl144_167
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_167])]) ).
fof(f3789,plain,
( e23 != h2(e12)
| ~ spl144_81 ),
inference(backward_demodulation,[],[f3589,f1526]) ).
fof(f3589,plain,
op2(e23,e21) != h2(e12),
inference(forward_demodulation,[],[f428,f341]) ).
fof(f428,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3787,plain,
( spl144_17
| spl144_325
| spl144_331
| spl144_127 ),
inference(avatar_split_clause,[],[f1091,f1740,f2728,f2676,f1244]) ).
fof(f1091,plain,
( e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e10 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e11 = op1(e13,e12) )
& ( e12 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e10 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e10 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e13 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e11 )
& ( e12 = op1(e13,e10)
| e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f3712,plain,
( spl144_315
| spl144_160
| spl144_186
| spl144_331 ),
inference(avatar_split_clause,[],[f345,f2728,f2032,f1899,f2616]) ).
fof(f345,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e10,e11)
| e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e10) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| e12 = op1(e12,e13)
| e12 = op1(e12,e11) )
& ( e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e13) )
& ( e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e13) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11) )
& ( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) )
& ( e12 = op1(e12,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) )
& ( e12 = op1(e11,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13) )
& ( e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e10,e11) )
& ( e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10) )
& ( e10 = op1(e11,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) )
& ( e11 = op1(e12,e10)
| e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10) )
& ( e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e10) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12) )
& ( e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e10) )
& ( e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3706,plain,
( spl144_325
| spl144_14
| spl144_221
| spl144_26 ),
inference(avatar_split_clause,[],[f354,f1283,f2214,f1230,f2676]) ).
fof(f354,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3697,plain,
spl144_381,
inference(avatar_split_clause,[],[f3696,f3061]) ).
fof(f3696,plain,
e20 = h4(e10),
inference(forward_demodulation,[],[f3695,f3669]) ).
fof(f3695,plain,
e20 = op2(h4(e12),e21),
inference(forward_demodulation,[],[f3694,f3663]) ).
fof(f3694,plain,
e20 = op2(h4(e12),op2(e23,h4(e12))),
inference(forward_demodulation,[],[f322,f314]) ).
fof(f322,plain,
e20 = op2(op2(e23,e23),op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f3661,plain,
( spl144_380
| spl144_388
| spl144_227
| spl144_105 ),
inference(avatar_split_clause,[],[f739,f1637,f2241,f3142,f3049]) ).
fof(f739,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e22,e23)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20)
| e21 = op2(e22,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e22 = op2(e20,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e21,e23) )
& ( e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20) )
& ( e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| e23 = op2(e23,e20)
| op2(e20,e20) = e23 )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23)
| e20 = op2(e22,e22) )
& ( op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) )
& ( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e23,e21) )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e21) )
& ( e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e20,e22) )
& ( e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21) )
& ( e20 = op2(e20,e21)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20) )
& ( e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22) )
& ( e21 = op2(e20,e23)
| e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23)
| e20 = op2(e23,e21) )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| op2(e20,e20) = e21
| e21 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22) )
& ( e20 = op2(e21,e21)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) )
& ( e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) )
& ( e20 = op2(e22,e23)
| e20 = op2(e23,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21) )
& ( e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3658,plain,
( spl144_346
| spl144_88
| spl144_201
| spl144_376 ),
inference(avatar_split_clause,[],[f3657,f3008,f2113,f1557,f2821]) ).
fof(f3657,plain,
( e20 = op2(e21,e23)
| e20 = h2(e12)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f737,f341]) ).
fof(f737,plain,
( e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| e20 = op2(e21,e23)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3656,plain,
( spl144_180
| spl144_167
| spl144_201
| spl144_181 ),
inference(avatar_split_clause,[],[f3655,f2007,f2113,f1932,f2001]) ).
fof(f3655,plain,
( e21 = h2(e12)
| e20 = h2(e12)
| e23 = h2(e12)
| e22 = h2(e12) ),
inference(forward_demodulation,[],[f3654,f341]) ).
fof(f3654,plain,
( e22 = h2(e12)
| e20 = h2(e12)
| e21 = op2(e21,e21)
| e23 = h2(e12) ),
inference(forward_demodulation,[],[f3653,f341]) ).
fof(f3653,plain,
( e22 = h2(e12)
| e23 = h2(e12)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[],[f3652,f341]) ).
fof(f3652,plain,
( e23 = op2(e21,e21)
| e22 = h2(e12)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[],[f391,f341]) ).
fof(f391,plain,
( e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e20 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e23 )
& ( e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e20 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e21 = op2(e22,e21)
| e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e21 = op2(e22,e20)
| e20 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20) )
& ( e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3646,plain,
spl144_434,
inference(avatar_split_clause,[],[f3645,f3634]) ).
fof(f3645,plain,
e21 = h4(e11),
inference(forward_demodulation,[],[f315,f324]) ).
fof(f315,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f3611,plain,
( spl144_254
| spl144_380
| spl144_33
| spl144_125 ),
inference(avatar_split_clause,[],[f392,f1730,f1314,f3049,f2359]) ).
fof(f392,plain,
( e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3609,plain,
( spl144_427
| spl144_428
| spl144_429
| spl144_430 ),
inference(avatar_split_clause,[],[f1029,f3606,f3602,f3598,f3594]) ).
fof(f1029,plain,
( e10 = op1(e12,op1(e12,e10))
| e12 = op1(e12,op1(e12,e12))
| e13 = op1(e12,op1(e12,e13))
| e11 = op1(e12,op1(e12,e11)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( e13 != op1(e13,e13)
& e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e13 = op1(e13,e13) )
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69 )
& ( e11 = op1(e10,op1(e10,e11))
| e12 = op1(e10,op1(e10,e12))
| e10 = op1(e10,op1(e10,e10))
| e13 = op1(e10,op1(e10,e13)) )
& ( e12 = op1(e12,op1(e12,e12))
| e13 = op1(e12,op1(e12,e13))
| e11 = op1(e12,op1(e12,e11))
| e10 = op1(e12,op1(e12,e10)) )
& ( e12 = op1(e11,op1(e11,e12))
| e13 = op1(e11,op1(e11,e13))
| e10 = op1(e11,op1(e11,e10))
| e11 = op1(e11,op1(e11,e11)) )
& ( e13 = op1(e13,op1(e13,e13))
| e10 = op1(e13,op1(e13,e10))
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11)) )
& ( ( e12 != op1(e12,e12)
& e10 != op1(e10,e12)
& e13 != op1(e13,e12)
& e11 != op1(e11,e12) )
| sP68
| sP67
| sP66 ) ),
inference(definition_folding,[],[f10,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88]) ).
fof(f88,plain,
( ( e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e10 != op1(e10,e11) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e10 != op1(e10,e13)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13)
& e11 != op1(e11,e13) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e13 != op1(e13,e10)
& e10 != op1(e10,e10) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e13 = op1(e12,e13)
& e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e13 = op1(e13,e11)
& op1(e10,e10) = e11
& e13 = op1(e11,e13)
& e10 != op1(e10,e11) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e10 = op1(e13,e13)
& e13 != op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e13 != op1(e13,e10) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f99,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 = op1(e10,e10) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f100,plain,
( ( e10 = op1(e11,e11)
& e12 = op1(e12,e10)
& e11 != op1(e11,e10)
& e12 = op1(e10,e12) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f101,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f102,plain,
( ( e13 = op1(e12,e12)
& e12 = op1(e13,e12)
& e12 != op1(e12,e13)
& e12 = op1(e12,e13) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f103,plain,
( ( e13 = op1(e13,e11)
& e13 != op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e13) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f104,plain,
( ( e13 = op1(e13,e10)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e13 = op1(e10,e13) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f105,plain,
( ( e10 = op1(e11,e10)
& e11 = op1(e11,e11)
& e10 = op1(e10,e11)
& e11 != op1(e11,e11) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f106,plain,
( ( e12 = op1(e10,e12)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e12 = op1(e12,e10) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f107,plain,
( ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e13 = op1(e11,e11)
& e11 != op1(e11,e13) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f108,plain,
( ( e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f109,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e10 = op1(e10,e13)
& e10 = op1(e13,e10) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f110,plain,
( ( e12 = op1(e11,e12)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11)
& e11 != op1(e11,e11) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f111,plain,
( ( e12 = op1(e11,e11)
& e11 = op1(e11,e12)
& e11 != op1(e11,e12)
& e11 = op1(e12,e11) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f112,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e12 != op1(e12,e13)
& e13 = op1(e12,e12) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f113,plain,
( ( e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& op1(e10,e10) = e12 )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f114,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f115,plain,
( ( e12 = op1(e13,e13)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e13 != op1(e13,e12) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f116,plain,
( ( e10 != op1(e10,e10)
& e11 = op1(e11,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f117,plain,
( ( e13 = op1(e12,e12)
& e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e12 != op1(e12,e13) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f118,plain,
( ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 = op1(e12,e12) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f119,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f120,plain,
( ( e10 != op1(e10,e13)
& e11 = op1(e13,e11)
& op1(e10,e10) = e13
& e11 = op1(e11,e13) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f121,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f122,plain,
( ( e10 = op1(e12,e12)
& e11 = op1(e10,e11)
& e12 != op1(e12,e10)
& e11 = op1(e11,e10) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f123,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f124,plain,
( ( e12 = op1(e11,e12)
& e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f125,plain,
( ( e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f126,plain,
( ( e13 = op1(e10,e13)
& e12 != op1(e12,e10)
& e13 = op1(e13,e10)
& e10 = op1(e12,e12) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f127,plain,
( ( e13 != op1(e13,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e13,e13) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f128,plain,
( ( e12 != op1(e12,e11)
& e10 = op1(e11,e10)
& e11 = op1(e12,e12)
& e10 = op1(e10,e11) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f129,plain,
( ( e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f130,plain,
( ( e11 = op1(e11,e12)
& op1(e10,e10) = e12
& e11 = op1(e12,e11)
& e10 != op1(e10,e12) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f131,plain,
( ( e12 = op1(e10,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e12,e10) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f132,plain,
( ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f133,plain,
( ( e12 = op1(e12,e12)
& op1(e10,e10) = e12
& e10 != op1(e10,e12)
& e12 = op1(e12,e12) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f134,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f135,plain,
( ( e10 = op1(e10,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e13 != op1(e13,e13) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f136,plain,
( ( e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f137,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e11,e11)
& e13 = op1(e13,e13)
& e11 != op1(e11,e13) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f138,plain,
( ( e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e10 = op1(e10,e13)
& e10 = op1(e13,e10) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f139,plain,
( ( op1(e10,e10) = e12
& e10 != op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f140,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e13,e13)
& e13 != op1(e13,e11) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f141,plain,
( ( e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& e13 = op1(e11,e11)
& e11 != op1(e11,e13) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f142,plain,
( ( e12 != op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f143,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f144,plain,
( ( e13 = op1(e10,e13)
& e10 = op1(e11,e11)
& e13 = op1(e13,e10)
& e11 != op1(e11,e10) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f145,plain,
( ( e11 = op1(e11,e11)
& e13 != op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e13,e13) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f146,plain,
( ( e10 != op1(e10,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f147,plain,
( ( e10 = op1(e11,e11)
& e10 = op1(e10,e10)
& e11 != op1(e11,e10)
& e10 = op1(e10,e10) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f148,plain,
( ( e11 != op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f149,plain,
( ( op1(e10,e10) = e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 != op1(e10,e13) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f150,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f151,plain,
( ( e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e10 != op1(e10,e11)
& op1(e10,e10) = e11 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f152,plain,
( ( e10 = op1(e10,e12)
& e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e10 = op1(e12,e10) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f153,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 = op1(e10,e12)
& e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e10 = op1(e12,e10) )
| ( e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e10 != op1(e10,e11)
& op1(e10,e10) = e11 )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( op1(e10,e10) = e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 != op1(e10,e13) )
| ( e11 != op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e10 = op1(e11,e11)
& e10 = op1(e10,e10)
& e11 != op1(e11,e10)
& e10 = op1(e10,e10) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11 )
| ( e11 = op1(e11,e11)
& e13 != op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e13,e13) )
| ( e13 = op1(e10,e13)
& e10 = op1(e11,e11)
& e13 = op1(e13,e10)
& e11 != op1(e11,e10) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e12 != op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& e13 = op1(e11,e11)
& e11 != op1(e11,e13) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e13,e13)
& e13 != op1(e13,e11) )
| ( op1(e10,e10) = e12
& e10 != op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e10 = op1(e10,e13)
& e10 = op1(e13,e10) )
| ( e13 = op1(e13,e13)
& e13 = op1(e11,e11)
& e13 = op1(e13,e13)
& e11 != op1(e11,e13) )
| ( e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12) )
| ( e10 = op1(e10,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e13 != op1(e13,e13) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ( e12 = op1(e12,e12)
& op1(e10,e10) = e12
& e10 != op1(e10,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ( e12 = op1(e10,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e12,e10) )
| ( e11 = op1(e11,e12)
& op1(e10,e10) = e12
& e11 = op1(e12,e11)
& e10 != op1(e10,e12) )
| ( e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e12,e11)
& e10 = op1(e11,e10)
& e11 = op1(e12,e12)
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e13,e13) )
| ( e13 = op1(e10,e13)
& e12 != op1(e12,e10)
& e13 = op1(e13,e10)
& e10 = op1(e12,e12) )
| ( e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ( e12 = op1(e11,e12)
& e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12) )
| ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ( e10 = op1(e12,e12)
& e11 = op1(e10,e11)
& e12 != op1(e12,e10)
& e11 = op1(e11,e10) )
| ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e10 != op1(e10,e13)
& e11 = op1(e13,e11)
& op1(e10,e10) = e13
& e11 = op1(e11,e13) )
| ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 = op1(e12,e12) )
| ( e13 = op1(e12,e12)
& e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e12 != op1(e12,e13) )
| ( e10 != op1(e10,e10)
& e11 = op1(e11,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11) )
| ( e12 = op1(e13,e13)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e13 != op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11) )
| ( e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& op1(e10,e10) = e12 )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e12 != op1(e12,e13)
& e13 = op1(e12,e12) )
| ( e12 = op1(e11,e11)
& e11 = op1(e11,e12)
& e11 != op1(e11,e12)
& e11 = op1(e12,e11) )
| ( e12 = op1(e11,e12)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11)
& e11 != op1(e11,e11) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e10 = op1(e10,e13)
& e10 = op1(e13,e10) )
| ( e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e13 = op1(e11,e11)
& e11 != op1(e11,e13) )
| ( e12 = op1(e10,e12)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e12 = op1(e12,e10) )
| ( e10 = op1(e11,e10)
& e11 = op1(e11,e11)
& e10 = op1(e10,e11)
& e11 != op1(e11,e11) )
| ( e13 = op1(e13,e10)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e13 = op1(e10,e13) )
| ( e13 = op1(e13,e11)
& e13 != op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e13) )
| ( e13 = op1(e12,e12)
& e12 = op1(e13,e12)
& e12 != op1(e12,e13)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 = op1(e11,e11)
& e12 = op1(e12,e10)
& e11 != op1(e11,e10)
& e12 = op1(e10,e12) )
| ( e10 = op1(e10,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 = op1(e10,e10) )
| ( e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e13 != op1(e13,e10) )
| ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e10 = op1(e13,e13)
& e13 != op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e13 = op1(e13,e11)
& op1(e10,e10) = e11
& e13 = op1(e11,e13)
& e10 != op1(e10,e11) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 = op1(e12,e13)
& e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11) ) )
& ( e11 = op1(e10,op1(e10,e11))
| e12 = op1(e10,op1(e10,e12))
| e10 = op1(e10,op1(e10,e10))
| e13 = op1(e10,op1(e10,e13)) )
& ( e12 = op1(e12,op1(e12,e12))
| e13 = op1(e12,op1(e12,e13))
| e11 = op1(e12,op1(e12,e11))
| e10 = op1(e12,op1(e12,e10)) )
& ( e12 = op1(e11,op1(e11,e12))
| e13 = op1(e11,op1(e11,e13))
| e10 = op1(e11,op1(e11,e10))
| e11 = op1(e11,op1(e11,e11)) )
& ( e13 = op1(e13,op1(e13,e13))
| e10 = op1(e13,op1(e13,e10))
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11)) )
& ( ( e12 != op1(e12,e12)
& e10 != op1(e10,e12)
& e13 != op1(e13,e12)
& e11 != op1(e11,e12) )
| ( e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e13 != op1(e13,e10)
& e10 != op1(e10,e10) )
| ( e10 != op1(e10,e13)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13)
& e11 != op1(e11,e13) )
| ( e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e10 != op1(e10,e11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f3579,plain,
( ~ spl144_33
| ~ spl144_169 ),
inference(avatar_split_clause,[],[f708,f1942,f1314]) ).
fof(f1942,plain,
( spl144_169
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_169])]) ).
fof(f708,plain,
( ~ sP1
| e20 != op2(e20,e23) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e21 != op2(e21,e23)
& e23 != op2(e23,e23)
& e20 != op2(e20,e23)
& e22 != op2(e22,e23) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e21 != op2(e21,e23)
& e23 != op2(e23,e23)
& e20 != op2(e20,e23)
& e22 != op2(e22,e23) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3578,plain,
( ~ spl144_192
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f1020,f1244,f2063]) ).
fof(f2063,plain,
( spl144_192
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_192])]) ).
fof(f1020,plain,
( e13 != op1(e13,e11)
| ~ sP66 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e10 != op1(e10,e11) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f3544,plain,
( ~ spl144_71
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f1013,f2067,f1478]) ).
fof(f2067,plain,
( spl144_193
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_193])]) ).
fof(f1013,plain,
( ~ sP68
| e11 != op1(e11,e10) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e13 != op1(e13,e10)
& e10 != op1(e10,e10) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f3519,plain,
( spl144_105
| spl144_183
| spl144_367
| spl144_116 ),
inference(avatar_split_clause,[],[f752,f1686,f2923,f2019,f1637]) ).
fof(f752,plain,
( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3516,plain,
( spl144_203
| spl144_90
| spl144_156
| spl144_66 ),
inference(avatar_split_clause,[],[f740,f1455,f1881,f1565,f2121]) ).
fof(f740,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3513,plain,
( spl144_105
| spl144_99
| spl144_35
| spl144_45 ),
inference(avatar_split_clause,[],[f398,f1368,f1323,f1610,f1637]) ).
fof(f398,plain,
( op2(e20,e20) = e22
| e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3512,plain,
( spl144_175
| spl144_97
| spl144_324
| spl144_152 ),
inference(avatar_split_clause,[],[f369,f1863,f2669,f1599,f1974]) ).
fof(f369,plain,
( e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3469,plain,
( spl144_159
| spl144_152
| spl144_314
| spl144_142 ),
inference(avatar_split_clause,[],[f1096,f1810,f2612,f1863,f1894]) ).
fof(f1096,plain,
( e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3460,plain,
( spl144_394
| spl144_330
| spl144_88
| spl144_10 ),
inference(avatar_split_clause,[],[f399,f1211,f1557,f2719,f3210]) ).
fof(f399,plain,
( e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3446,plain,
( ~ spl144_332
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f1117,f3443,f2740]) ).
fof(f2740,plain,
( spl144_332
<=> sP141 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_332])]) ).
fof(f1117,plain,
( e22 != h1(e11)
| ~ sP141 ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
( ( e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12) )
| ~ sP141 ),
inference(nnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f3405,plain,
( spl144_79
| spl144_388
| spl144_123
| spl144_386 ),
inference(avatar_split_clause,[],[f400,f3091,f1722,f3142,f1515]) ).
fof(f400,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3404,plain,
( spl144_159
| spl144_24
| spl144_221
| spl144_211 ),
inference(avatar_split_clause,[],[f376,f2160,f2214,f1274,f1894]) ).
fof(f376,plain,
( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3391,plain,
( spl144_19
| spl144_130
| spl144_115
| spl144_377 ),
inference(avatar_split_clause,[],[f401,f3012,f1682,f1753,f1253]) ).
fof(f401,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e23 = op2(e22,e23)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3372,plain,
( spl144_378
| spl144_412
| spl144_413
| spl144_414 ),
inference(avatar_split_clause,[],[f3359,f3369,f3365,f3361,f3020]) ).
fof(f3359,plain,
( e21 = op2(e22,op2(e22,e21))
| e23 = op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e20))
| e22 = h3(e11) ),
inference(forward_demodulation,[],[f720,f1104]) ).
fof(f720,plain,
( e20 = op2(e22,op2(e22,e20))
| e23 = op2(e22,op2(e22,e23))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e21 = op2(e23,e21)
& e23 != op2(e23,e23)
& e21 = op2(e21,e23)
& e23 = op2(e23,e23) )
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 )
& ( e23 = op2(e20,op2(e20,e23))
| e20 = op2(e20,op2(e20,e20))
| e21 = op2(e20,op2(e20,e21))
| e22 = op2(e20,op2(e20,e22)) )
& ( e21 = op2(e23,op2(e23,e21))
| e22 = op2(e23,op2(e23,e22))
| e20 = op2(e23,op2(e23,e20))
| e23 = op2(e23,op2(e23,e23)) )
& ( e20 = op2(e22,op2(e22,e20))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21))
| e23 = op2(e22,op2(e22,e23)) )
& ( ( e22 != op2(e22,e20)
& e23 != op2(e23,e20)
& e20 != op2(e20,e20)
& e21 != op2(e21,e20) )
| sP2
| sP1
| sP0 )
& ( e21 = op2(e21,op2(e21,e21))
| e20 = op2(e21,op2(e21,e20))
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22)) ) ),
inference(definition_folding,[],[f11,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != op2(e20,e21)
& e22 != op2(e22,e21)
& e23 != op2(e23,e21)
& e21 != op2(e21,e21) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f23,plain,
( ( e20 != op2(e20,e22)
& e22 != op2(e22,e22)
& e23 != op2(e23,e22)
& e21 != op2(e21,e22) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e20 = op2(e23,e23)
& e23 != op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e22 = op2(e22,e22)
& e21 != op2(e21,e22)
& e22 = op2(e22,e22)
& e22 = op2(e21,e21) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e21 = op2(e22,e21)
& e21 = op2(e21,e22)
& e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e23 != op2(e23,e21)
& e21 = op2(e23,e23) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e23 = op2(e22,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e22 != op2(e22,e23) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e23 = op2(e20,e23)
& e23 = op2(e23,e20)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e21 = op2(e20,e21)
& e21 = op2(e21,e20)
& e20 = op2(e23,e23)
& e23 != op2(e23,e20) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( e20 = op2(e20,e21)
& e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e20 = op2(e21,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( e22 != op2(e22,e22)
& e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e22 = op2(e22,e22) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f40,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f42,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f43,plain,
( ( e22 = op2(e22,e22)
& op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e22 = op2(e22,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e23 = op2(e23,e20)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e23 = op2(e20,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e21 != op2(e21,e22)
& e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e21,e21) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( e23 != op2(e23,e21)
& e23 = op2(e23,e21)
& e21 = op2(e23,e23)
& e23 = op2(e21,e23) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( e22 = op2(e22,e20)
& e22 != op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e22) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e22 != op2(e22,e21) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f51,plain,
( ( e21 = op2(e22,e22)
& e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 != op2(e22,e21) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( e22 != op2(e22,e22)
& e20 = op2(e20,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e21 = op2(e21,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e21 = op2(e20,e21) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( op2(e20,e20) = e22
& e20 = op2(e20,e22)
& e20 != op2(e20,e22)
& e20 = op2(e22,e20) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e21 = op2(e23,e21)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e23 = op2(e22,e23)
& e23 != op2(e23,e22)
& e23 = op2(e23,e22)
& e22 = op2(e23,e23) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( e23 != op2(e23,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21)
& e21 = op2(e23,e23) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f59,plain,
( ( e22 = op2(e21,e21)
& e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e21 != op2(e21,e22) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f60,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e21 = op2(e21,e23)
& e21 = op2(e23,e21) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e22 = op2(e22,e23)
& e22 = op2(e23,e22) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( e22 = op2(e23,e22)
& op2(e20,e20) = e23
& e22 = op2(e22,e23)
& e20 != op2(e20,e23) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e23 != op2(e23,e23)
& e20 = op2(e20,e23) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e21 = op2(e21,e22)
& e21 = op2(e22,e21) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f66,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e23 = op2(e23,e21)
& e23 = op2(e21,e23) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f67,plain,
( ( e23 != op2(e23,e22)
& e20 = op2(e22,e20)
& e22 = op2(e23,e23)
& e20 = op2(e20,e22) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e20 = op2(e21,e21)
& e21 != op2(e21,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e22 = op2(e23,e23)
& e23 != op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f70,plain,
( ( e20 != op2(e20,e21)
& e22 = op2(e22,e21)
& op2(e20,e20) = e21
& e22 = op2(e21,e22) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f71,plain,
( ( e23 = op2(e23,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e20 != op2(e20,e20) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( op2(e20,e20) = e21
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 != op2(e20,e21) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f73,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f74,plain,
( ( e20 = op2(e20,e23)
& op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e20 = op2(e23,e20) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f75,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f76,plain,
( ( e20 != op2(e20,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) = e23
& e23 = op2(e23,e23) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e22 = op2(e23,e22)
& e23 = op2(e23,e23)
& e22 = op2(e22,e23)
& e23 != op2(e23,e23) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( e20 = op2(e20,e20)
& e22 = op2(e22,e20)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f80,plain,
( ( e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f81,plain,
( ( e22 != op2(e22,e23)
& e22 = op2(e22,e23)
& e23 = op2(e22,e22)
& e22 = op2(e23,e22) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f83,plain,
( ( e22 != op2(e22,e22)
& e21 = op2(e21,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f84,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f85,plain,
( ( e20 = op2(e22,e20)
& e21 != op2(e21,e22)
& e20 = op2(e20,e22)
& e22 = op2(e21,e21) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f86,plain,
( ( e22 = op2(e21,e22)
& e22 != op2(e22,e21)
& e22 = op2(e22,e21)
& e21 = op2(e22,e22) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f11,axiom,
( ( ( e21 = op2(e23,e21)
& e23 != op2(e23,e23)
& e21 = op2(e21,e23)
& e23 = op2(e23,e23) )
| ( e22 = op2(e21,e22)
& e22 != op2(e22,e21)
& e22 = op2(e22,e21)
& e21 = op2(e22,e22) )
| ( e20 = op2(e22,e20)
& e21 != op2(e21,e22)
& e20 = op2(e20,e22)
& e22 = op2(e21,e21) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 != op2(e22,e22)
& e21 = op2(e21,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21) )
| ( op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e23)
& e22 = op2(e22,e23)
& e23 = op2(e22,e22)
& e22 = op2(e23,e22) )
| ( e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22) )
| ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 = op2(e20,e20)
& e22 = op2(e22,e20)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22) )
| ( e22 = op2(e23,e22)
& e23 = op2(e23,e23)
& e22 = op2(e22,e23)
& e23 != op2(e23,e23) )
| ( e20 != op2(e20,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) = e23
& e23 = op2(e23,e23) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ( e20 = op2(e20,e23)
& op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e20 = op2(e23,e20) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ( op2(e20,e20) = e21
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 != op2(e20,e21) )
| ( e23 = op2(e23,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e20 != op2(e20,e20) )
| ( e20 != op2(e20,e21)
& e22 = op2(e22,e21)
& op2(e20,e20) = e21
& e22 = op2(e21,e22) )
| ( e22 = op2(e23,e23)
& e23 != op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 = op2(e21,e21)
& e21 != op2(e21,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e22)
& e20 = op2(e22,e20)
& e22 = op2(e23,e23)
& e20 = op2(e20,e22) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e23 = op2(e23,e21)
& e23 = op2(e21,e23) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e21 = op2(e21,e22)
& e21 = op2(e22,e21) )
| ( e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e23 != op2(e23,e23)
& e20 = op2(e20,e23) )
| ( e22 = op2(e23,e22)
& op2(e20,e20) = e23
& e22 = op2(e22,e23)
& e20 != op2(e20,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e22 = op2(e22,e23)
& e22 = op2(e23,e22) )
| ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e21 = op2(e21,e23)
& e21 = op2(e23,e21) )
| ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 = op2(e21,e21)
& e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e21 != op2(e21,e22) )
| ( e23 != op2(e23,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21)
& e21 = op2(e23,e23) )
| ( e23 = op2(e22,e23)
& e23 != op2(e23,e22)
& e23 = op2(e23,e22)
& e22 = op2(e23,e23) )
| ( e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ( e21 = op2(e23,e21)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e21 = op2(e21,e23) )
| ( op2(e20,e20) = e22
& e20 = op2(e20,e22)
& e20 != op2(e20,e22)
& e20 = op2(e22,e20) )
| ( e21 = op2(e21,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e21 = op2(e20,e21) )
| ( e22 != op2(e22,e22)
& e20 = op2(e20,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20) )
| ( e21 = op2(e22,e22)
& e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 != op2(e22,e21) )
| ( e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e22 != op2(e22,e21) )
| ( e22 = op2(e22,e20)
& e22 != op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e22) )
| ( e23 != op2(e23,e21)
& e23 = op2(e23,e21)
& e21 = op2(e23,e23)
& e23 = op2(e21,e23) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ( e21 != op2(e21,e22)
& e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e21,e21) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20) )
| ( e23 = op2(e23,e20)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e23 = op2(e20,e23) )
| ( e22 = op2(e22,e22)
& op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e22 != op2(e22,e22)
& e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e22 = op2(e22,e22) )
| ( e20 = op2(e20,e21)
& e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e20 = op2(e21,e20) )
| ( e21 = op2(e20,e21)
& e21 = op2(e21,e20)
& e20 = op2(e23,e23)
& e23 != op2(e23,e20) )
| ( e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e23 = op2(e20,e23)
& e23 = op2(e23,e20)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20) )
| ( e23 = op2(e22,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e22 != op2(e22,e23) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e23 != op2(e23,e21)
& e21 = op2(e23,e23) )
| ( e21 = op2(e22,e21)
& e21 = op2(e21,e22)
& e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ( e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 = op2(e22,e22)
& e21 != op2(e21,e22)
& e22 = op2(e22,e22)
& e22 = op2(e21,e21) )
| ( e20 = op2(e23,e23)
& e23 != op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) ) )
& ( e23 = op2(e20,op2(e20,e23))
| e20 = op2(e20,op2(e20,e20))
| e21 = op2(e20,op2(e20,e21))
| e22 = op2(e20,op2(e20,e22)) )
& ( e21 = op2(e23,op2(e23,e21))
| e22 = op2(e23,op2(e23,e22))
| e20 = op2(e23,op2(e23,e20))
| e23 = op2(e23,op2(e23,e23)) )
& ( e20 = op2(e22,op2(e22,e20))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21))
| e23 = op2(e22,op2(e22,e23)) )
& ( ( e22 != op2(e22,e20)
& e23 != op2(e23,e20)
& e20 != op2(e20,e20)
& e21 != op2(e21,e20) )
| ( e20 != op2(e20,e22)
& e22 != op2(e22,e22)
& e23 != op2(e23,e22)
& e21 != op2(e21,e22) )
| ( e21 != op2(e21,e23)
& e23 != op2(e23,e23)
& e20 != op2(e20,e23)
& e22 != op2(e22,e23) )
| ( e20 != op2(e20,e21)
& e22 != op2(e22,e21)
& e23 != op2(e23,e21)
& e21 != op2(e21,e21) ) )
& ( e21 = op2(e21,op2(e21,e21))
| e20 = op2(e21,op2(e21,e20))
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f3356,plain,
( spl144_102
| spl144_18
| spl144_116
| spl144_348 ),
inference(avatar_split_clause,[],[f393,f2831,f1686,f1249,f1622]) ).
fof(f393,plain,
( e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3262,plain,
( spl144_396
| spl144_397
| spl144_328
| spl144_398 ),
inference(avatar_split_clause,[],[f3249,f3259,f2704,f3255,f3251]) ).
fof(f3249,plain,
( e22 = op2(e21,op2(e21,e22))
| e21 = h2(e11)
| e20 = op2(e21,op2(e21,e20))
| e23 = op2(e21,op2(e21,e23)) ),
inference(forward_demodulation,[],[f3248,f2712]) ).
fof(f3248,plain,
( e20 = op2(e21,op2(e21,e20))
| e22 = op2(e21,op2(e21,e22))
| e21 = op2(e21,h2(e12))
| e23 = op2(e21,op2(e21,e23)) ),
inference(forward_demodulation,[],[f715,f341]) ).
fof(f715,plain,
( e23 = op2(e21,op2(e21,e23))
| e20 = op2(e21,op2(e21,e20))
| e21 = op2(e21,op2(e21,e21))
| e22 = op2(e21,op2(e21,e22)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f3236,plain,
~ spl144_206,
inference(avatar_split_clause,[],[f3235,f2136]) ).
fof(f2136,plain,
( spl144_206
<=> sP142 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_206])]) ).
fof(f3235,plain,
~ sP142,
inference(subsumption_resolution,[],[f1112,f378]) ).
fof(f1112,plain,
( e20 != h1(e13)
| ~ sP142 ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
( ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e12) )
| ~ sP142 ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e12) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f3216,plain,
( spl144_181
| spl144_183
| spl144_10
| spl144_137 ),
inference(avatar_split_clause,[],[f3215,f1785,f1211,f2019,f2007]) ).
fof(f3215,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = h2(e12) ),
inference(forward_demodulation,[],[f729,f341]) ).
fof(f729,plain,
( e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3199,plain,
spl144_313,
inference(avatar_split_clause,[],[f1035,f2607]) ).
fof(f1035,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f3197,plain,
( spl144_188
| spl144_112
| spl144_326
| spl144_153 ),
inference(avatar_split_clause,[],[f351,f1867,f2684,f1667,f2042]) ).
fof(f351,plain,
( e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3191,plain,
( spl144_193
| ~ spl144_8
| spl144_192
| spl144_68 ),
inference(avatar_split_clause,[],[f1026,f1464,f2063,f1202,f2067]) ).
fof(f1464,plain,
( spl144_68
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_68])]) ).
fof(f1026,plain,
( sP67
| sP66
| e12 != op1(e12,e12)
| sP68 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3163,plain,
( spl144_326
| spl144_25
| spl144_1
| spl144_160 ),
inference(avatar_split_clause,[],[f1101,f1899,f1171,f1278,f2684]) ).
fof(f1101,plain,
( e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3116,plain,
( spl144_5
| spl144_146
| spl144_70
| spl144_159 ),
inference(avatar_split_clause,[],[f358,f1894,f1473,f1831,f1189]) ).
fof(f358,plain,
( e10 = op1(e10,e12)
| e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3114,plain,
( ~ spl144_168
| ~ spl144_20 ),
inference(avatar_split_clause,[],[f705,f1257,f1938]) ).
fof(f1938,plain,
( spl144_168
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_168])]) ).
fof(f705,plain,
( e22 != op2(e22,e22)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e20 != op2(e20,e22)
& e22 != op2(e22,e22)
& e23 != op2(e23,e22)
& e21 != op2(e21,e22) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f3083,plain,
( spl144_382
| spl144_383
| spl144_384
| spl144_385 ),
inference(avatar_split_clause,[],[f1030,f3080,f3076,f3072,f3068]) ).
fof(f1030,plain,
( e10 = op1(e10,op1(e10,e10))
| e13 = op1(e10,op1(e10,e13))
| e11 = op1(e10,op1(e10,e11))
| e12 = op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f3035,plain,
( spl144_209
| spl144_8
| spl144_38
| spl144_186 ),
inference(avatar_split_clause,[],[f373,f2032,f1337,f1202,f2150]) ).
fof(f373,plain,
( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3030,plain,
( spl144_194
| spl144_104
| spl144_89
| spl144_20 ),
inference(avatar_split_clause,[],[f387,f1257,f1561,f1631,f2072]) ).
fof(f387,plain,
( e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3015,plain,
( spl144_376
| spl144_66
| spl144_33
| spl144_377 ),
inference(avatar_split_clause,[],[f735,f3012,f1314,f1455,f3008]) ).
fof(f735,plain,
( e20 = op2(e22,e23)
| e20 = op2(e20,e23)
| e20 = op2(e23,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2975,plain,
( spl144_370
| spl144_371
| spl144_372
| spl144_373 ),
inference(avatar_split_clause,[],[f722,f2972,f2968,f2964,f2960]) ).
fof(f722,plain,
( e21 = op2(e20,op2(e20,e21))
| e22 = op2(e20,op2(e20,e22))
| e23 = op2(e20,op2(e20,e23))
| e20 = op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f2954,plain,
( spl144_111
| spl144_154
| spl144_327
| spl144_250 ),
inference(avatar_split_clause,[],[f346,f2340,f2696,f1871,f1663]) ).
fof(f346,plain,
( e13 = op1(e12,e11)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2947,plain,
( spl144_274
| spl144_369
| spl144_180
| spl144_330 ),
inference(avatar_split_clause,[],[f2942,f2719,f2001,f2944,f2446]) ).
fof(f2942,plain,
( e22 = op2(e21,e22)
| e22 = h2(e12)
| e22 = op2(e21,e23)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f731,f341]) ).
fof(f731,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2937,plain,
( spl144_142
| spl144_126
| spl144_291
| spl144_322 ),
inference(avatar_split_clause,[],[f353,f2657,f2516,f1736,f1810]) ).
fof(f353,plain,
( e11 = op1(e10,e13)
| op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2920,plain,
( ~ spl144_350
| ~ spl144_351
| ~ spl144_352
| ~ spl144_353
| ~ spl144_354
| ~ spl144_355
| ~ spl144_356
| ~ spl144_357
| ~ spl144_358
| spl144_332
| ~ spl144_359
| ~ spl144_360
| ~ spl144_361
| ~ spl144_362
| ~ spl144_363
| spl144_173
| spl144_206
| ~ spl144_364
| ~ spl144_365
| ~ spl144_366 ),
inference(avatar_split_clause,[],[f1168,f2917,f2913,f2909,f2136,f1965,f2905,f2901,f2897,f2893,f2889,f2740,f2885,f2881,f2877,f2873,f2869,f2865,f2861,f2857,f2853]) ).
fof(f1965,plain,
( spl144_173
<=> sP143 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_173])]) ).
fof(f1168,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP142
| sP143
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP141
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| e21 != h1(e12)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| sP143
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP142
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP141
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| ( e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| sP140
| sP139
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| sP138
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) )
& ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| sP137
| sP136
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP135
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) )
& ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP134
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP133
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP132 ) ),
inference(definition_folding,[],[f20,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155]) ).
fof(f155,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e10) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e10) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e11) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e11)
& e23 != h2(e12) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f166,plain,
( ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f20,plain,
( ( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e12) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12) )
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| ( e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e11)
& e23 != h2(e12) )
| ( e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e11) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) )
& ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10) )
| ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10) )
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| ( e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e10) )
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) )
& ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| ( e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e10) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e13) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e13)
| e20 = h4(e10) ) )
| ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& ( e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10) )
& ( e23 = h1(e12)
| e23 = h1(e13)
| e23 = h1(e11)
| e23 = h1(e10) ) )
| ( ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e11) ) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& ( e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11) )
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e13) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e13)
| e20 = h4(e10) ) )
| ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& ( e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10) )
& ( e23 = h1(e12)
| e23 = h1(e13)
| e23 = h1(e11)
| e23 = h1(e10) ) )
| ( ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e11) ) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& ( e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11) )
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2845,plain,
( spl144_175
| spl144_316
| spl144_5
| spl144_322 ),
inference(avatar_split_clause,[],[f1100,f2657,f1189,f2620,f1974]) ).
fof(f1100,plain,
( e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2844,plain,
( spl144_169
| spl144_168
| ~ spl144_183
| spl144_43 ),
inference(avatar_split_clause,[],[f716,f1359,f2019,f1938,f1942]) ).
fof(f1359,plain,
( spl144_43
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_43])]) ).
fof(f716,plain,
( sP0
| e21 != op2(e21,e20)
| sP2
| sP1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f2818,plain,
( spl144_108
| spl144_81
| spl144_203
| spl144_318 ),
inference(avatar_split_clause,[],[f388,f2631,f2121,f1524,f1650]) ).
fof(f388,plain,
( e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2817,plain,
( spl144_71
| spl144_344
| spl144_291
| spl144_345 ),
inference(avatar_split_clause,[],[f355,f2814,f2516,f2810,f1478]) ).
fof(f355,plain,
( e11 = op1(e13,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2794,plain,
( spl144_317
| spl144_327
| spl144_209
| spl144_321 ),
inference(avatar_split_clause,[],[f1086,f2653,f2150,f2696,f2626]) ).
fof(f1086,plain,
( e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2732,plain,
( spl144_112
| spl144_71
| spl144_198
| spl144_23 ),
inference(avatar_split_clause,[],[f1098,f1270,f2097,f1478,f1667]) ).
fof(f1098,plain,
( e10 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2717,plain,
( ~ spl144_329
| ~ spl144_173 ),
inference(avatar_split_clause,[],[f1107,f1965,f2714]) ).
fof(f1107,plain,
( ~ sP143
| e23 != h1(e10) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
( ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11) )
| ~ sP143 ),
inference(nnf_transformation,[],[f166]) ).
fof(f2708,plain,
spl144_109,
inference(avatar_split_clause,[],[f323,f1654]) ).
fof(f323,plain,
e22 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f2699,plain,
( spl144_327
| spl144_188
| spl144_11
| spl144_175 ),
inference(avatar_split_clause,[],[f361,f1974,f1216,f2042,f2696]) ).
fof(f361,plain,
( e13 = op1(e10,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2660,plain,
( spl144_151
| spl144_321
| spl144_133
| spl144_322 ),
inference(avatar_split_clause,[],[f362,f2657,f1767,f2653,f1858]) ).
fof(f362,plain,
( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2651,plain,
( spl144_97
| spl144_291
| spl144_200
| spl144_70 ),
inference(avatar_split_clause,[],[f1088,f1473,f2105,f2516,f1599]) ).
fof(f1088,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f2629,plain,
( spl144_26
| spl144_317
| spl144_5
| spl144_22 ),
inference(avatar_split_clause,[],[f349,f1266,f1189,f2626,f1283]) ).
fof(f349,plain,
( e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2623,plain,
( spl144_314
| spl144_315
| spl144_316
| spl144_200 ),
inference(avatar_split_clause,[],[f370,f2105,f2620,f2616,f2612]) ).
fof(f370,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2449,plain,
( spl144_18
| spl144_274
| spl144_107
| spl144_45 ),
inference(avatar_split_clause,[],[f727,f1368,f1646,f2446,f1249]) ).
fof(f727,plain,
( op2(e20,e20) = e22
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2234,plain,
( spl144_222
| spl144_223
| spl144_224
| spl144_225 ),
inference(avatar_split_clause,[],[f1028,f2231,f2227,f2223,f2219]) ).
fof(f1028,plain,
( e13 = op1(e11,op1(e11,e13))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e11,op1(e11,e10))
| e12 = op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f2163,plain,
( spl144_211
| spl144_132
| spl144_154
| spl144_8 ),
inference(avatar_split_clause,[],[f1094,f1202,f1871,f1762,f2160]) ).
fof(f1094,plain,
( e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2108,plain,
( spl144_198
| spl144_199
| spl144_200
| spl144_38 ),
inference(avatar_split_clause,[],[f366,f1337,f2105,f2101,f2097]) ).
fof(f366,plain,
( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e13,e10)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2049,plain,
( spl144_22
| spl144_151
| spl144_188
| spl144_189 ),
inference(avatar_split_clause,[],[f1097,f2046,f2042,f1858,f1266]) ).
fof(f1097,plain,
( e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1874,plain,
( spl144_152
| spl144_153
| spl144_93
| spl144_154 ),
inference(avatar_split_clause,[],[f350,f1871,f1579,f1867,f1863]) ).
fof(f350,plain,
( e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1733,plain,
( spl144_123
| spl144_124
| spl144_125
| spl144_45 ),
inference(avatar_split_clause,[],[f747,f1368,f1730,f1726,f1722]) ).
fof(f747,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1670,plain,
( spl144_110
| spl144_111
| spl144_112
| spl144_97 ),
inference(avatar_split_clause,[],[f347,f1599,f1667,f1663,f1659]) ).
fof(f347,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1625,plain,
( spl144_99
| spl144_100
| spl144_101
| spl144_102 ),
inference(avatar_split_clause,[],[f754,f1622,f1618,f1614,f1610]) ).
fof(f754,plain,
( e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1593,plain,
( ~ spl144_43
| ~ spl144_81 ),
inference(avatar_split_clause,[],[f712,f1524,f1359]) ).
fof(f712,plain,
( e23 != op2(e23,e21)
| ~ sP0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e20 != op2(e20,e21)
& e22 != op2(e22,e21)
& e23 != op2(e23,e21)
& e21 != op2(e21,e21) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1568,plain,
( spl144_88
| spl144_89
| spl144_79
| spl144_90 ),
inference(avatar_split_clause,[],[f750,f1565,f1515,f1561,f1557]) ).
fof(f750,plain,
( e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1467,plain,
( ~ spl144_5
| ~ spl144_68 ),
inference(avatar_split_clause,[],[f1018,f1464,f1189]) ).
fof(f1018,plain,
( ~ sP67
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e10 != op1(e10,e13)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13)
& e11 != op1(e11,e13) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f1281,plain,
( spl144_22
| spl144_23
| spl144_24
| spl144_25 ),
inference(avatar_split_clause,[],[f348,f1278,f1274,f1270,f1266]) ).
fof(f348,plain,
( e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG119+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:52:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.08/0.55 % (22946)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.37/0.56 % (22963)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.37/0.56 % (22955)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.56 % (22969)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.37/0.57 % (22961)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.37/0.58 % (22959)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.58 % (22958)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.58 % (22956)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.37/0.58 % (22964)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.37/0.58 % (22947)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.58 % (22944)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.58 % (22942)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.59 % (22943)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.59 % (22950)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.59 % (22945)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.59 % (22962)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.37/0.59 % (22957)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.59 % (22951)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.59 % (22941)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.37/0.59 % (22967)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.59 % (22968)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.59 % (22966)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.60 % (22953)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.37/0.60 % (22960)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.60 % (22948)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.60 % (22948)Instruction limit reached!
% 1.37/0.60 % (22948)------------------------------
% 1.37/0.60 % (22948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.60 % (22948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.60 % (22948)Termination reason: Unknown
% 1.37/0.60 % (22948)Termination phase: Clausification
% 1.37/0.60
% 1.37/0.60 % (22948)Memory used [KB]: 1279
% 1.37/0.60 % (22948)Time elapsed: 0.005 s
% 1.37/0.60 % (22948)Instructions burned: 9 (million)
% 1.37/0.60 % (22948)------------------------------
% 1.37/0.60 % (22948)------------------------------
% 1.37/0.60 % (22949)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.60 % (22970)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.61 % (22954)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.61 % (22946)Instruction limit reached!
% 1.37/0.61 % (22946)------------------------------
% 1.37/0.61 % (22946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61 % (22965)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.61 % (22946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61 % (22946)Termination reason: Unknown
% 1.37/0.61 % (22946)Termination phase: Saturation
% 1.37/0.61
% 1.37/0.61 % (22946)Memory used [KB]: 7675
% 1.37/0.61 % (22946)Time elapsed: 0.160 s
% 1.37/0.61 % (22946)Instructions burned: 50 (million)
% 1.37/0.61 % (22946)------------------------------
% 1.37/0.61 % (22946)------------------------------
% 1.37/0.61 % (22952)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.61 % (22949)Instruction limit reached!
% 1.37/0.61 % (22949)------------------------------
% 1.37/0.61 % (22949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (22949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (22949)Termination reason: Unknown
% 1.37/0.62 % (22949)Termination phase: shuffling
% 1.37/0.62
% 1.37/0.62 % (22949)Memory used [KB]: 1023
% 1.37/0.62 % (22949)Time elapsed: 0.004 s
% 1.37/0.62 % (22949)Instructions burned: 4 (million)
% 1.37/0.62 % (22949)------------------------------
% 1.37/0.62 % (22949)------------------------------
% 1.37/0.63 % (22943)Instruction limit reached!
% 1.37/0.63 % (22943)------------------------------
% 1.37/0.63 % (22943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.65 % (22955)Instruction limit reached!
% 1.37/0.65 % (22955)------------------------------
% 1.37/0.65 % (22955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.65 % (22955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.65 % (22955)Termination reason: Unknown
% 1.37/0.65 % (22955)Termination phase: Saturation
% 1.37/0.65
% 1.37/0.65 % (22955)Memory used [KB]: 7419
% 1.37/0.65 % (22955)Time elapsed: 0.034 s
% 1.37/0.65 % (22955)Instructions burned: 69 (million)
% 1.37/0.65 % (22955)------------------------------
% 1.37/0.65 % (22955)------------------------------
% 1.37/0.65 % (22943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.65 % (22943)Termination reason: Unknown
% 1.37/0.65 % (22943)Termination phase: Saturation
% 1.37/0.65
% 1.37/0.65 % (22943)Memory used [KB]: 1663
% 1.37/0.65 % (22943)Time elapsed: 0.019 s
% 1.37/0.65 % (22943)Instructions burned: 38 (million)
% 1.37/0.65 % (22943)------------------------------
% 1.37/0.65 % (22943)------------------------------
% 1.37/0.65 % (22945)Instruction limit reached!
% 1.37/0.65 % (22945)------------------------------
% 1.37/0.65 % (22945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.65 % (22945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.65 % (22945)Termination reason: Unknown
% 1.37/0.65 % (22945)Termination phase: Saturation
% 1.37/0.65
% 1.37/0.65 % (22945)Memory used [KB]: 6780
% 1.37/0.65 % (22945)Time elapsed: 0.025 s
% 1.37/0.65 % (22945)Instructions burned: 51 (million)
% 1.37/0.65 % (22945)------------------------------
% 1.37/0.65 % (22945)------------------------------
% 2.09/0.65 % (22950)Instruction limit reached!
% 2.09/0.65 % (22950)------------------------------
% 2.09/0.65 % (22950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (22950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (22950)Termination reason: Unknown
% 2.09/0.65 % (22950)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (22950)Memory used [KB]: 1791
% 2.09/0.65 % (22950)Time elapsed: 0.023 s
% 2.09/0.65 % (22950)Instructions burned: 51 (million)
% 2.09/0.65 % (22950)------------------------------
% 2.09/0.65 % (22950)------------------------------
% 2.09/0.65 % (22942)Instruction limit reached!
% 2.09/0.65 % (22942)------------------------------
% 2.09/0.65 % (22942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (22942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (22942)Termination reason: Unknown
% 2.09/0.65 % (22942)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (22942)Memory used [KB]: 7419
% 2.09/0.65 % (22942)Time elapsed: 0.024 s
% 2.09/0.65 % (22942)Instructions burned: 50 (million)
% 2.09/0.65 % (22942)------------------------------
% 2.09/0.65 % (22942)------------------------------
% 2.09/0.66 % (22951)Instruction limit reached!
% 2.09/0.66 % (22951)------------------------------
% 2.09/0.66 % (22951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (22951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (22951)Termination reason: Unknown
% 2.09/0.66 % (22951)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (22951)Memory used [KB]: 7419
% 2.09/0.66 % (22951)Time elapsed: 0.031 s
% 2.09/0.66 % (22951)Instructions burned: 50 (million)
% 2.09/0.66 % (22951)------------------------------
% 2.09/0.66 % (22951)------------------------------
% 2.09/0.66 % (22944)Instruction limit reached!
% 2.09/0.66 % (22944)------------------------------
% 2.09/0.66 % (22944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (22944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (22944)Termination reason: Unknown
% 2.09/0.66 % (22944)Termination phase: 22944 Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.09/0.66 % (22944)------------------------------
% 2.09/0.66 % (22944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (22944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (22944)Termination reason: Unknown
% 2.09/0.66 % (22947)Instruction limit reached!
% 2.09/0.66 % (22947)------------------------------
% 2.09/0.66 % (22947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (22947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (22947)Termination reason: Unknown
% 2.09/0.66 % (22947)Termination phase: Finite model building preprocessing
% 2.09/0.66
% 2.09/0.66 % (22947)Memory used [KB]: 2558
% 2.09/0.66 % (22947)Time elapsed: 0.028 s
% 2.09/0.66 % (22947)Instructions burned: 52 (million)
% 2.09/0.66 % (22947)------------------------------
% 2.09/0.66 % (22947)------------------------------
% 2.34/0.70 % (22956)Instruction limit reached!
% 2.34/0.70 % (22956)------------------------------
% 2.34/0.70 % (22956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (22956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (22956)Termination reason: Unknown
% 2.34/0.70 % (22956)Termination phase: Saturation
% 2.34/0.70
% 2.34/0.70 % (22956)Memory used [KB]: 1918
% 2.34/0.70 % (22956)Time elapsed: 0.040 s
% 2.34/0.70 % (22956)Instructions burned: 75 (million)
% 2.34/0.70 % (22956)------------------------------
% 2.34/0.70 % (22956)------------------------------
% 2.34/0.70 % (22958)Instruction limit reached!
% 2.34/0.70 % (22958)------------------------------
% 2.34/0.70 % (22958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (22958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (22958)Termination reason: Unknown
% 2.34/0.70 % (22958)Termination phase: Blocked clause elimination
% 2.34/0.70
% 2.34/0.70 % (22958)Memory used [KB]: 1535
% 2.34/0.70 % (22958)Time elapsed: 0.034 s
% 2.34/0.70 % (22958)Instructions burned: 60 (million)
% 2.34/0.70 % (22958)------------------------------
% 2.34/0.70 % (22958)------------------------------
% 2.34/0.71 % (22967)Instruction limit reached!
% 2.34/0.71 % (22967)------------------------------
% 2.34/0.71 % (22967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.71 % (22967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.71 % (22967)Termination reason: Unknown
% 2.34/0.71 % (22967)Termination phase: Saturation
% 2.34/0.71
% 2.34/0.71 % (22967)Memory used [KB]: 7419
% 2.34/0.71 % (22967)Time elapsed: 0.036 s
% 2.34/0.71 % (22967)Instructions burned: 68 (million)
% 2.34/0.71 % (22967)------------------------------
% 2.34/0.71 % (22967)------------------------------
% 2.34/0.72 % (22957)Instruction limit reached!
% 2.34/0.72 % (22957)------------------------------
% 2.34/0.72 % (22957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (22957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (22957)Termination reason: Unknown
% 2.34/0.72 % (22957)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (22957)Memory used [KB]: 7931
% 2.34/0.72 % (22957)Time elapsed: 0.278 s
% 2.34/0.72 % (22957)Instructions burned: 99 (million)
% 2.34/0.72 % (22957)------------------------------
% 2.34/0.72 % (22957)------------------------------
% 2.34/0.72 % (22952)Instruction limit reached!
% 2.34/0.72 % (22952)------------------------------
% 2.34/0.72 % (22952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (22952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (22952)Termination reason: Unknown
% 2.34/0.72 % (22952)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (22952)Memory used [KB]: 8059
% 2.34/0.72 % (22952)Time elapsed: 0.040 s
% 2.34/0.72 % (22952)Instructions burned: 100 (million)
% 2.34/0.72 % (22952)------------------------------
% 2.34/0.72 % (22952)------------------------------
% 2.34/0.72 % (22959)Instruction limit reached!
% 2.34/0.72 % (22959)------------------------------
% 2.34/0.72 % (22959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (22959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (22959)Termination reason: Unknown
% 2.34/0.72 % (22959)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (22959)Memory used [KB]: 8187
% 2.34/0.72 % (22959)Time elapsed: 0.068 s
% 2.34/0.72 % (22959)Instructions burned: 100 (million)
% 2.34/0.72 % (22959)------------------------------
% 2.34/0.72 % (22959)------------------------------
% 2.34/0.72 % (22997)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.34/0.73 % (22960)Instruction limit reached!
% 2.34/0.73 % (22960)------------------------------
% 2.34/0.73 % (22960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.74 % (22986)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.62/0.74 % (22954)Instruction limit reached!
% 2.62/0.74 % (22954)------------------------------
% 2.62/0.74 % (22954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.74 % (22954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.74 % (22954)Termination reason: Unknown
% 2.62/0.74 % (22954)Termination phase: Saturation
% 2.62/0.74
% 2.62/0.74 % (22954)Memory used [KB]: 8187
% 2.62/0.74 % (22954)Time elapsed: 0.288 s
% 2.62/0.74 % (22954)Instructions burned: 100 (million)
% 2.62/0.74 % (22954)------------------------------
% 2.62/0.74 % (22954)------------------------------
% 2.62/0.74 % (22960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.74 % (22960)Termination reason: Unknown
% 2.62/0.74 % (22960)Termination phase: Saturation
% 2.62/0.74
% 2.62/0.74 % (22960)Memory used [KB]: 1918
% 2.62/0.74 % (22960)Time elapsed: 0.293 s
% 2.62/0.74 % (22960)Instructions burned: 100 (million)
% 2.62/0.74 % (22960)------------------------------
% 2.62/0.74 % (22960)------------------------------
% 2.62/0.74 % (22989)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.65/0.75 % (22953)Instruction limit reached!
% 2.65/0.75 % (22953)------------------------------
% 2.65/0.75 % (22953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.75 % (22953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.75 % (22953)Termination reason: Unknown
% 2.65/0.75 % (22953)Termination phase: Saturation
% 2.65/0.75
% 2.65/0.75 % (22953)Memory used [KB]: 8187
% 2.65/0.75 % (22953)Time elapsed: 0.316 s
% 2.65/0.75 % (22953)Instructions burned: 102 (million)
% 2.65/0.75 % (22953)------------------------------
% 2.65/0.75 % (22953)------------------------------
% 2.65/0.77 % (23009)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.65/0.78 % (23012)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.65/0.78 % (23010)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.65/0.78 % (23020)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.65/0.78 % (23015)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.65/0.79 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.79 % (23022)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.65/0.79 % (23017)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.65/0.80 % (22962)Instruction limit reached!
% 2.65/0.80 % (22962)------------------------------
% 2.65/0.80 % (22962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.80 % (22962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.80 % (22962)Termination reason: Unknown
% 2.65/0.80 % (22962)Termination phase: Saturation
% 2.65/0.80
% 2.65/0.80 % (22962)Memory used [KB]: 8699
% 2.65/0.80 % (22962)Time elapsed: 0.081 s
% 2.65/0.80 % (22962)Instructions burned: 138 (million)
% 2.65/0.80 % (22962)------------------------------
% 2.65/0.80 % (22962)------------------------------
% 2.83/0.80 % (23038)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.83/0.82 TRYING [8]
% 2.83/0.82 % (23050)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.83/0.83 % (23052)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.83/0.84 % (22964)First to succeed.
% 2.83/0.84 % (23039)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.83/0.85 % (23043)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.83/0.85 % (23066)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.97/0.86 % (23046)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.97/0.87 % (22997)Instruction limit reached!
% 2.97/0.87 % (22997)------------------------------
% 2.97/0.87 % (22997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.87 % (23067)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.97/0.87 % (22997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.87 % (22997)Termination reason: Unknown
% 2.97/0.87 % (22997)Termination phase: Saturation
% 2.97/0.87
% 2.97/0.87 % (22997)Memory used [KB]: 7931
% 2.97/0.87 % (22997)Time elapsed: 0.205 s
% 2.97/0.87 % (22997)Instructions burned: 92 (million)
% 2.97/0.87 % (22997)------------------------------
% 2.97/0.87 % (22997)------------------------------
% 2.97/0.89 % (22961)Also succeeded, but the first one will report.
% 2.97/0.89 % (23083)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.97/0.89 % (22964)Refutation found. Thanks to Tanya!
% 2.97/0.89 % SZS status Theorem for theBenchmark
% 2.97/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.97/0.90 % (22964)------------------------------
% 2.97/0.90 % (22964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.90 % (22964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.90 % (22964)Termination reason: Refutation
% 2.97/0.90
% 2.97/0.90 % (22964)Memory used [KB]: 9850
% 2.97/0.90 % (22964)Time elapsed: 0.107 s
% 2.97/0.90 % (22964)Instructions burned: 167 (million)
% 2.97/0.90 % (22964)------------------------------
% 2.97/0.90 % (22964)------------------------------
% 2.97/0.90 % (22940)Success in time 0.54 s
%------------------------------------------------------------------------------