TSTP Solution File: ALG053+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG053+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 : n022.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 15:42:23 EDT 2022
% Result : Theorem 8.08s 1.51s
% Output : Refutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 413
% Syntax : Number of formulae : 1970 ( 207 unt; 0 def)
% Number of atoms : 7843 (4262 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 9860 (3987 ~;4333 |;1214 &)
% ( 326 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 396 ( 394 usr; 395 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15127,plain,
$false,
inference(avatar_sat_refutation,[],[f939,f948,f988,f1036,f1045,f1189,f1207,f1285,f1290,f1311,f1610,f1619,f1647,f1774,f1812,f1817,f1923,f1940,f1984,f1998,f2136,f2153,f2168,f2177,f2379,f2397,f2446,f2615,f2659,f2677,f2687,f2711,f2758,f2791,f2827,f2859,f2878,f2930,f2951,f2960,f3018,f3049,f3096,f3125,f3168,f3171,f3186,f3203,f3214,f3227,f3234,f3243,f3253,f3278,f3284,f3289,f3325,f3328,f3333,f3344,f3346,f3353,f3378,f3381,f3450,f3455,f3466,f3477,f3478,f3505,f3537,f3544,f3606,f3615,f3635,f3657,f3673,f3686,f3799,f3800,f3815,f3858,f3865,f3870,f3882,f3893,f3900,f3901,f3906,f3907,f3932,f3941,f3952,f3972,f3982,f4000,f4051,f4066,f4073,f4075,f4076,f4114,f4115,f4124,f4128,f4131,f4145,f4152,f4153,f4165,f4189,f4220,f4232,f4237,f4240,f4249,f4272,f4273,f4279,f4287,f4299,f4304,f4314,f4316,f4326,f4329,f4331,f4388,f4391,f4463,f4467,f4492,f4507,f4509,f4517,f4519,f4520,f4521,f4540,f4602,f4668,f4686,f4694,f4696,f4877,f4882,f4885,f4890,f4898,f4903,f4913,f4929,f4945,f4948,f4950,f4954,f4974,f5003,f5006,f5043,f5047,f5052,f5086,f5105,f5129,f5161,f5226,f5258,f5288,f5330,f5371,f5442,f5493,f5547,f5563,f5566,f5580,f5684,f5815,f5889,f6013,f6015,f6022,f6037,f6060,f6071,f6114,f6201,f6309,f6320,f6356,f6403,f6408,f6411,f6432,f6454,f6485,f6494,f6588,f6697,f6731,f6789,f6861,f6900,f6950,f6980,f7080,f7143,f7181,f7208,f7219,f7253,f7289,f7343,f7460,f7512,f7641,f7705,f7832,f7918,f7990,f8029,f8031,f8062,f8091,f8146,f8210,f8273,f8280,f8323,f8324,f8389,f8461,f8624,f8628,f8663,f8763,f8792,f8799,f8806,f8818,f8819,f8841,f8862,f8966,f8980,f9068,f9147,f9180,f9196,f9222,f9248,f9384,f9585,f9620,f9664,f9675,f9679,f9707,f9733,f9781,f9791,f9806,f9823,f9837,f9874,f9914,f9953,f10173,f10223,f10226,f10227,f10234,f10241,f10244,f10245,f10257,f10258,f10272,f10289,f10290,f10291,f10294,f10302,f10316,f10320,f10333,f10336,f10352,f10400,f10431,f10446,f10500,f10649,f10658,f10685,f10708,f10714,f10808,f10839,f10872,f10892,f10904,f10974,f10995,f11045,f11071,f11081,f11104,f11113,f11126,f11155,f11186,f11208,f11224,f11243,f11323,f11425,f11464,f11494,f11564,f11621,f11674,f11699,f11724,f11761,f11827,f11838,f11867,f11925,f11967,f11972,f12040,f12090,f12117,f12215,f12254,f12381,f12403,f12405,f12455,f12564,f12575,f12650,f12653,f12856,f12884,f12903,f13019,f13213,f13291,f13297,f13403,f13486,f13585,f13913,f13929,f13955,f13963,f13993,f13999,f14014,f14064,f14070,f14124,f14228,f14244,f14246,f14344,f14346,f14571,f14611,f14656,f14786,f14910,f15033,f15104,f15115,f15124]) ).
fof(f15124,plain,
( ~ spl68_228
| ~ spl68_407
| spl68_643 ),
inference(avatar_contradiction_clause,[],[f15123]) ).
fof(f15123,plain,
( $false
| ~ spl68_228
| ~ spl68_407
| spl68_643 ),
inference(subsumption_resolution,[],[f15122,f2650]) ).
fof(f2650,plain,
( e22 = op2(e23,e24)
| ~ spl68_407 ),
inference(avatar_component_clause,[],[f2648]) ).
fof(f2648,plain,
( spl68_407
<=> e22 = op2(e23,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_407])]) ).
fof(f15122,plain,
( e22 != op2(e23,e24)
| ~ spl68_228
| spl68_643 ),
inference(forward_demodulation,[],[f3951,f1868]) ).
fof(f1868,plain,
( e23 = op2(e24,e22)
| ~ spl68_228 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1866,plain,
( spl68_228
<=> e23 = op2(e24,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_228])]) ).
fof(f3951,plain,
( e22 != op2(op2(e24,e22),e24)
| spl68_643 ),
inference(avatar_component_clause,[],[f3949]) ).
fof(f3949,plain,
( spl68_643
<=> e22 = op2(op2(e24,e22),e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_643])]) ).
fof(f15115,plain,
( ~ spl68_202
| spl68_338
| ~ spl68_407
| ~ spl68_530
| ~ spl68_537 ),
inference(avatar_contradiction_clause,[],[f15114]) ).
fof(f15114,plain,
( $false
| ~ spl68_202
| spl68_338
| ~ spl68_407
| ~ spl68_530
| ~ spl68_537 ),
inference(subsumption_resolution,[],[f15113,f8459]) ).
fof(f8459,plain,
( e22 != e24
| spl68_338
| ~ spl68_407 ),
inference(forward_demodulation,[],[f2346,f2650]) ).
fof(f2346,plain,
( e24 != op2(e23,e24)
| spl68_338 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f2345,plain,
( spl68_338
<=> e24 = op2(e23,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_338])]) ).
fof(f15113,plain,
( e22 = e24
| ~ spl68_202
| ~ spl68_530
| ~ spl68_537 ),
inference(forward_demodulation,[],[f15112,f1755]) ).
fof(f1755,plain,
( e24 = op2(e20,e24)
| ~ spl68_202 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1753,plain,
( spl68_202
<=> e24 = op2(e20,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_202])]) ).
fof(f15112,plain,
( e22 = op2(e20,e24)
| ~ spl68_530
| ~ spl68_537 ),
inference(forward_demodulation,[],[f3277,f3317]) ).
fof(f3317,plain,
( e20 = op2(e22,e24)
| ~ spl68_537 ),
inference(avatar_component_clause,[],[f3315]) ).
fof(f3315,plain,
( spl68_537
<=> e20 = op2(e22,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_537])]) ).
fof(f3277,plain,
( e22 = op2(op2(e22,e24),e24)
| ~ spl68_530 ),
inference(avatar_component_clause,[],[f3275]) ).
fof(f3275,plain,
( spl68_530
<=> e22 = op2(op2(e22,e24),e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_530])]) ).
fof(f15104,plain,
( ~ spl68_73
| ~ spl68_93
| spl68_338
| ~ spl68_407
| ~ spl68_646 ),
inference(avatar_contradiction_clause,[],[f15103]) ).
fof(f15103,plain,
( $false
| ~ spl68_73
| ~ spl68_93
| spl68_338
| ~ spl68_407
| ~ spl68_646 ),
inference(subsumption_resolution,[],[f15102,f8459]) ).
fof(f15102,plain,
( e22 = e24
| ~ spl68_73
| ~ spl68_93
| ~ spl68_646 ),
inference(forward_demodulation,[],[f15101,f1206]) ).
fof(f1206,plain,
( e24 = op2(e23,e21)
| ~ spl68_73 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl68_73
<=> e24 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_73])]) ).
fof(f15101,plain,
( e22 = op2(e23,e21)
| ~ spl68_93
| ~ spl68_646 ),
inference(forward_demodulation,[],[f3971,f1294]) ).
fof(f1294,plain,
( e23 = op2(e22,e21)
| ~ spl68_93 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl68_93
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_93])]) ).
fof(f3971,plain,
( e22 = op2(op2(e22,e21),e21)
| ~ spl68_646 ),
inference(avatar_component_clause,[],[f3969]) ).
fof(f3969,plain,
( spl68_646
<=> e22 = op2(op2(e22,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_646])]) ).
fof(f15033,plain,
( spl68_72
| ~ spl68_73
| ~ spl68_176
| ~ spl68_429
| ~ spl68_587 ),
inference(avatar_contradiction_clause,[],[f15032]) ).
fof(f15032,plain,
( $false
| spl68_72
| ~ spl68_73
| ~ spl68_176
| ~ spl68_429
| ~ spl68_587 ),
inference(subsumption_resolution,[],[f15031,f10603]) ).
fof(f10603,plain,
( e21 != e24
| spl68_72
| ~ spl68_73 ),
inference(forward_demodulation,[],[f1201,f1206]) ).
fof(f1201,plain,
( e21 != op2(e23,e21)
| spl68_72 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl68_72
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_72])]) ).
fof(f15031,plain,
( e21 = e24
| ~ spl68_176
| ~ spl68_429
| ~ spl68_587 ),
inference(forward_demodulation,[],[f15030,f1641]) ).
fof(f1641,plain,
( e21 = op2(e20,e21)
| ~ spl68_176 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f1639,plain,
( spl68_176
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_176])]) ).
fof(f15030,plain,
( e24 = op2(e20,e21)
| ~ spl68_429
| ~ spl68_587 ),
inference(forward_demodulation,[],[f3605,f2757]) ).
fof(f2757,plain,
( e20 = op2(e24,e21)
| ~ spl68_429 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2755,plain,
( spl68_429
<=> e20 = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_429])]) ).
fof(f3605,plain,
( e24 = op2(op2(e24,e21),e21)
| ~ spl68_587 ),
inference(avatar_component_clause,[],[f3603]) ).
fof(f3603,plain,
( spl68_587
<=> e24 = op2(op2(e24,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_587])]) ).
fof(f14910,plain,
( ~ spl68_86
| ~ spl68_466
| spl68_468
| ~ spl68_574 ),
inference(avatar_contradiction_clause,[],[f14909]) ).
fof(f14909,plain,
( $false
| ~ spl68_86
| ~ spl68_466
| spl68_468
| ~ spl68_574 ),
inference(subsumption_resolution,[],[f14908,f2945]) ).
fof(f2945,plain,
( e21 != e23
| spl68_468 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f2943,plain,
( spl68_468
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_468])]) ).
fof(f14908,plain,
( e21 = e23
| ~ spl68_86
| ~ spl68_466
| ~ spl68_574 ),
inference(forward_demodulation,[],[f14907,f1263]) ).
fof(f1263,plain,
( e23 = op2(e20,e23)
| ~ spl68_86 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1261,plain,
( spl68_86
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_86])]) ).
fof(f14907,plain,
( e21 = op2(e20,e23)
| ~ spl68_466
| ~ spl68_574 ),
inference(forward_demodulation,[],[f3536,f2929]) ).
fof(f2929,plain,
( e20 = op2(e21,e23)
| ~ spl68_466 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f2927,plain,
( spl68_466
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_466])]) ).
fof(f3536,plain,
( e21 = op2(op2(e21,e23),e23)
| ~ spl68_574 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f3534,plain,
( spl68_574
<=> e21 = op2(op2(e21,e23),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_574])]) ).
fof(f14786,plain,
( ~ spl68_232
| ~ spl68_298
| ~ spl68_403 ),
inference(avatar_contradiction_clause,[],[f14785]) ).
fof(f14785,plain,
( $false
| ~ spl68_232
| ~ spl68_298
| ~ spl68_403 ),
inference(subsumption_resolution,[],[f14784,f869]) ).
fof(f869,plain,
e22 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e21 != e23
& e20 != e23
& e21 != e22
& e20 != e24
& e23 != e24
& e20 != e21
& e22 != e24
& e22 != e23
& e20 != e22
& e21 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f14784,plain,
( e22 = e23
| ~ spl68_232
| ~ spl68_298
| ~ spl68_403 ),
inference(forward_demodulation,[],[f14783,f2632]) ).
fof(f2632,plain,
( e22 = op2(e20,e22)
| ~ spl68_403 ),
inference(avatar_component_clause,[],[f2630]) ).
fof(f2630,plain,
( spl68_403
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_403])]) ).
fof(f14783,plain,
( e23 = op2(e20,e22)
| ~ spl68_232
| ~ spl68_298 ),
inference(forward_demodulation,[],[f2176,f1885]) ).
fof(f1885,plain,
( e20 = op2(e23,e22)
| ~ spl68_232 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1883,plain,
( spl68_232
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_232])]) ).
fof(f2176,plain,
( e23 = op2(op2(e23,e22),e22)
| ~ spl68_298 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl68_298
<=> e23 = op2(op2(e23,e22),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_298])]) ).
fof(f14656,plain,
( ~ spl68_202
| ~ spl68_622
| ~ spl68_628 ),
inference(avatar_contradiction_clause,[],[f14655]) ).
fof(f14655,plain,
( $false
| ~ spl68_202
| ~ spl68_622
| ~ spl68_628 ),
inference(subsumption_resolution,[],[f14654,f871]) ).
fof(f871,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f14654,plain,
( e20 = e21
| ~ spl68_202
| ~ spl68_622
| ~ spl68_628 ),
inference(forward_demodulation,[],[f14141,f3857]) ).
fof(f3857,plain,
( e21 = op2(e24,e24)
| ~ spl68_628 ),
inference(avatar_component_clause,[],[f3855]) ).
fof(f3855,plain,
( spl68_628
<=> e21 = op2(e24,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_628])]) ).
fof(f14141,plain,
( e20 = op2(e24,e24)
| ~ spl68_202
| ~ spl68_622 ),
inference(forward_demodulation,[],[f3809,f1755]) ).
fof(f3809,plain,
( e20 = op2(op2(e20,e24),e24)
| ~ spl68_622 ),
inference(avatar_component_clause,[],[f3807]) ).
fof(f3807,plain,
( spl68_622
<=> e20 = op2(op2(e20,e24),e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_622])]) ).
fof(f14611,plain,
( ~ spl68_249
| ~ spl68_407
| ~ spl68_414 ),
inference(avatar_contradiction_clause,[],[f14610]) ).
fof(f14610,plain,
( $false
| ~ spl68_249
| ~ spl68_407
| ~ spl68_414 ),
inference(subsumption_resolution,[],[f14609,f874]) ).
fof(f874,plain,
e21 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f14609,plain,
( e21 = e22
| ~ spl68_249
| ~ spl68_407
| ~ spl68_414 ),
inference(forward_demodulation,[],[f14608,f2650]) ).
fof(f14608,plain,
( e21 = op2(e23,e24)
| ~ spl68_249
| ~ spl68_414 ),
inference(forward_demodulation,[],[f2686,f1966]) ).
fof(f1966,plain,
( e23 = op2(e21,e24)
| ~ spl68_249 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1964,plain,
( spl68_249
<=> e23 = op2(e21,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_249])]) ).
fof(f2686,plain,
( e21 = op2(op2(e21,e24),e24)
| ~ spl68_414 ),
inference(avatar_component_clause,[],[f2684]) ).
fof(f2684,plain,
( spl68_414
<=> e21 = op2(op2(e21,e24),e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_414])]) ).
fof(f14571,plain,
( ~ spl68_228
| ~ spl68_620
| spl68_623 ),
inference(avatar_contradiction_clause,[],[f14570]) ).
fof(f14570,plain,
( $false
| ~ spl68_228
| ~ spl68_620
| spl68_623 ),
inference(subsumption_resolution,[],[f13976,f1868]) ).
fof(f13976,plain,
( e23 != op2(e24,e22)
| ~ spl68_620
| spl68_623 ),
inference(forward_demodulation,[],[f3814,f3797]) ).
fof(f3797,plain,
( e24 = op2(e22,e23)
| ~ spl68_620 ),
inference(avatar_component_clause,[],[f3795]) ).
fof(f3795,plain,
( spl68_620
<=> e24 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_620])]) ).
fof(f3814,plain,
( e23 != op2(op2(e22,e23),e22)
| spl68_623 ),
inference(avatar_component_clause,[],[f3812]) ).
fof(f3812,plain,
( spl68_623
<=> e23 = op2(op2(e22,e23),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_623])]) ).
fof(f14346,plain,
( ~ spl68_337
| ~ spl68_620 ),
inference(avatar_split_clause,[],[f14345,f3795,f2341]) ).
fof(f2341,plain,
( spl68_337
<=> e24 = op2(e22,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_337])]) ).
fof(f14345,plain,
( e24 != op2(e22,e24)
| ~ spl68_620 ),
inference(forward_demodulation,[],[f338,f3797]) ).
fof(f338,plain,
op2(e22,e23) != op2(e22,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e24) != op2(e23,e24)
& op2(e21,e23) != op2(e24,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e24)
& op2(e22,e22) != op2(e24,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e24) != op2(e24,e24)
& op2(e22,e23) != op2(e24,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e24,e20) != op2(e24,e22)
& op2(e23,e23) != op2(e24,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e24,e20) != op2(e24,e23)
& op2(e22,e20) != op2(e24,e20)
& op2(e20,e21) != op2(e20,e24)
& op2(e23,e21) != op2(e23,e22)
& op2(e24,e20) != op2(e24,e21)
& op2(e20,e24) != op2(e24,e24)
& op2(e20,e24) != op2(e23,e24)
& op2(e20,e24) != op2(e21,e24)
& op2(e20,e21) != op2(e20,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e23) != op2(e20,e24)
& op2(e21,e22) != op2(e24,e22)
& op2(e20,e22) != op2(e20,e24)
& op2(e22,e21) != op2(e24,e21)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e22,e24) != op2(e24,e24)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e24,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e21,e24)
& op2(e20,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e21,e24)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e20) != op2(e24,e20)
& op2(e21,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e24)
& op2(e24,e22) != op2(e24,e24)
& op2(e20,e20) != op2(e24,e20)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e24,e23) != op2(e24,e24)
& op2(e21,e21) != op2(e21,e23)
& op2(e24,e21) != op2(e24,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e22,e20) != op2(e22,e24)
& op2(e22,e23) != op2(e22,e24)
& op2(e24,e21) != op2(e24,e24)
& op2(e23,e24) != op2(e24,e24)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e22,e21) != op2(e23,e21)
& op2(e23,e22) != op2(e24,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e23,e23) != op2(e23,e24)
& op2(e20,e24) != op2(e22,e24)
& op2(e20,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e21) != op2(e21,e24)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e21) != op2(e24,e21)
& op2(e24,e22) != op2(e24,e23)
& op2(e23,e22) != op2(e23,e24)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e24) != op2(e23,e24)
& op2(e21,e20) != op2(e21,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e21,e20) != op2(e21,e24)
& op2(e23,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e22,e21)
& op2(e24,e21) != op2(e24,e22)
& op2(e21,e24) != op2(e22,e24)
& op2(e21,e21) != op2(e23,e21)
& op2(e23,e21) != op2(e23,e24)
& op2(e21,e20) != op2(e21,e21)
& op2(e23,e21) != op2(e24,e21)
& op2(e21,e23) != op2(e23,e23)
& op2(e24,e20) != op2(e24,e24)
& op2(e22,e22) != op2(e22,e24)
& op2(e22,e21) != op2(e22,e24)
& op2(e20,e23) != op2(e24,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e22) != op2(e24,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f14344,plain,
( ~ spl68_687
| ~ spl68_93
| ~ spl68_609 ),
inference(avatar_split_clause,[],[f14342,f3740,f1292,f4263]) ).
fof(f4263,plain,
( spl68_687
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_687])]) ).
fof(f3740,plain,
( spl68_609
<=> op2(e22,e22) = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_609])]) ).
fof(f14342,plain,
( e23 != h3(e11)
| ~ spl68_93
| ~ spl68_609 ),
inference(backward_demodulation,[],[f5850,f1294]) ).
fof(f5850,plain,
( op2(e22,e21) != h3(e11)
| ~ spl68_609 ),
inference(forward_demodulation,[],[f318,f3741]) ).
fof(f3741,plain,
( op2(e22,e22) = h3(e11)
| ~ spl68_609 ),
inference(avatar_component_clause,[],[f3740]) ).
fof(f318,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f14246,plain,
( spl68_251
| ~ spl68_491
| ~ spl68_563 ),
inference(avatar_split_clause,[],[f14245,f3474,f3062,f1973]) ).
fof(f1973,plain,
( spl68_251
<=> e14 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_251])]) ).
fof(f3062,plain,
( spl68_491
<=> e11 = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_491])]) ).
fof(f3474,plain,
( spl68_563
<=> e14 = op1(op1(e14,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_563])]) ).
fof(f14245,plain,
( e14 = op1(e11,e12)
| ~ spl68_491
| ~ spl68_563 ),
inference(forward_demodulation,[],[f3476,f3064]) ).
fof(f3064,plain,
( e11 = op1(e14,e12)
| ~ spl68_491 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f3476,plain,
( e14 = op1(op1(e14,e12),e12)
| ~ spl68_563 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f14244,plain,
( ~ spl68_295
| spl68_154
| ~ spl68_398
| ~ spl68_514 ),
inference(avatar_split_clause,[],[f14243,f3183,f2608,f1546,f2161]) ).
fof(f2161,plain,
( spl68_295
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_295])]) ).
fof(f1546,plain,
( spl68_154
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_154])]) ).
fof(f2608,plain,
( spl68_398
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_398])]) ).
fof(f3183,plain,
( spl68_514
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_514])]) ).
fof(f14243,plain,
( e23 != op2(e22,e22)
| spl68_154
| ~ spl68_398
| ~ spl68_514 ),
inference(forward_demodulation,[],[f14241,f165]) ).
fof(f165,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( op2(e23,op2(e23,e23)) = h4(e14)
& op2(op2(e23,op2(e23,e23)),e23) = h4(e12)
& e23 = h4(e13)
& op2(e23,op2(op2(e23,op2(e23,e23)),e23)) = h4(e10)
& op2(e23,e23) = h4(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f14241,plain,
( op2(e22,e22) != h4(e13)
| spl68_154
| ~ spl68_398
| ~ spl68_514 ),
inference(backward_demodulation,[],[f12942,f2610]) ).
fof(f2610,plain,
( e13 = op1(e12,e12)
| ~ spl68_398 ),
inference(avatar_component_clause,[],[f2608]) ).
fof(f12942,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl68_154
| ~ spl68_514 ),
inference(forward_demodulation,[],[f1548,f3184]) ).
fof(f3184,plain,
( e22 = h4(e12)
| ~ spl68_514 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f1548,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl68_154 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f14228,plain,
( ~ spl68_5
| ~ spl68_300
| ~ spl68_344
| ~ spl68_681
| spl68_682 ),
inference(avatar_contradiction_clause,[],[f14227]) ).
fof(f14227,plain,
( $false
| ~ spl68_5
| ~ spl68_300
| ~ spl68_344
| ~ spl68_681
| spl68_682 ),
inference(subsumption_resolution,[],[f14226,f4218]) ).
fof(f4218,plain,
( e11 != unit1
| spl68_682 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f4217,plain,
( spl68_682
<=> e11 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_682])]) ).
fof(f14226,plain,
( e11 = unit1
| ~ spl68_5
| ~ spl68_300
| ~ spl68_344
| ~ spl68_681 ),
inference(forward_demodulation,[],[f14225,f8939]) ).
fof(f8939,plain,
( op1(e13,e12) = unit1
| ~ spl68_300
| ~ spl68_681 ),
inference(backward_demodulation,[],[f2186,f4215]) ).
fof(f4215,plain,
( e10 = unit1
| ~ spl68_681 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f4213,plain,
( spl68_681
<=> e10 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_681])]) ).
fof(f2186,plain,
( e10 = op1(e13,e12)
| ~ spl68_300 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2184,plain,
( spl68_300
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_300])]) ).
fof(f14225,plain,
( e11 = op1(e13,e12)
| ~ spl68_5
| ~ spl68_344 ),
inference(forward_demodulation,[],[f2378,f917]) ).
fof(f917,plain,
( e13 = op1(e11,e12)
| ~ spl68_5 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f915,plain,
( spl68_5
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_5])]) ).
fof(f2378,plain,
( e11 = op1(op1(e11,e12),e12)
| ~ spl68_344 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f2376,plain,
( spl68_344
<=> e11 = op1(op1(e11,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_344])]) ).
fof(f14124,plain,
( ~ spl68_102
| ~ spl68_470
| spl68_678
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f14123]) ).
fof(f14123,plain,
( $false
| ~ spl68_102
| ~ spl68_470
| spl68_678
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f14122,f4202]) ).
fof(f4202,plain,
( e12 != unit1
| spl68_678 ),
inference(avatar_component_clause,[],[f4201]) ).
fof(f4201,plain,
( spl68_678
<=> e12 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_678])]) ).
fof(f14122,plain,
( e12 = unit1
| ~ spl68_102
| ~ spl68_470
| ~ spl68_681 ),
inference(forward_demodulation,[],[f14121,f4215]) ).
fof(f14121,plain,
( e10 = e12
| ~ spl68_102
| ~ spl68_470 ),
inference(forward_demodulation,[],[f2955,f1332]) ).
fof(f1332,plain,
( e12 = op1(e11,e11)
| ~ spl68_102 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1330,plain,
( spl68_102
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_102])]) ).
fof(f2955,plain,
( e10 = op1(e11,e11)
| ~ spl68_470 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f2953,plain,
( spl68_470
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_470])]) ).
fof(f14070,plain,
( ~ spl68_300
| ~ spl68_394
| spl68_673
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f14069]) ).
fof(f14069,plain,
( $false
| ~ spl68_300
| ~ spl68_394
| spl68_673
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f14068,f11195]) ).
fof(f11195,plain,
( op1(e12,e13) != unit1
| ~ spl68_300
| spl68_673
| ~ spl68_681 ),
inference(forward_demodulation,[],[f4169,f8939]) ).
fof(f4169,plain,
( op1(e12,e13) != op1(e13,e12)
| spl68_673 ),
inference(avatar_component_clause,[],[f4167]) ).
fof(f4167,plain,
( spl68_673
<=> op1(e12,e13) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_673])]) ).
fof(f14068,plain,
( op1(e12,e13) = unit1
| ~ spl68_394
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2591,f4215]) ).
fof(f2591,plain,
( e10 = op1(e12,e13)
| ~ spl68_394 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f2589,plain,
( spl68_394
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_394])]) ).
fof(f14064,plain,
( ~ spl68_65
| ~ spl68_522 ),
inference(avatar_contradiction_clause,[],[f14063]) ).
fof(f14063,plain,
( $false
| ~ spl68_65
| ~ spl68_522 ),
inference(subsumption_resolution,[],[f14062,f3238]) ).
fof(f3238,plain,
( e13 = op1(e12,e11)
| ~ spl68_522 ),
inference(avatar_component_clause,[],[f3236]) ).
fof(f3236,plain,
( spl68_522
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_522])]) ).
fof(f14062,plain,
( e13 != op1(e12,e11)
| ~ spl68_65 ),
inference(forward_demodulation,[],[f827,f1172]) ).
fof(f1172,plain,
( e13 = op1(e14,e11)
| ~ spl68_65 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1170,plain,
( spl68_65
<=> e13 = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_65])]) ).
fof(f827,plain,
op1(e12,e11) != op1(e14,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( op1(e12,e10) != op1(e13,e10)
& op1(e13,e12) != op1(e13,e14)
& op1(e14,e10) != op1(e14,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e14,e11) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e11)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e14,e13)
& op1(e13,e12) != op1(e13,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e14) != op1(e13,e14)
& op1(e10,e11) != op1(e12,e11)
& op1(e14,e10) != op1(e14,e14)
& op1(e14,e11) != op1(e14,e13)
& op1(e10,e13) != op1(e10,e14)
& op1(e10,e14) != op1(e12,e14)
& op1(e11,e10) != op1(e11,e11)
& op1(e13,e12) != op1(e14,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e14,e10)
& op1(e13,e11) != op1(e13,e14)
& op1(e10,e11) != op1(e10,e13)
& op1(e11,e14) != op1(e13,e14)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e11) != op1(e14,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e14)
& op1(e10,e10) != op1(e10,e14)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e14) != op1(e14,e14)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e12,e11) != op1(e14,e11)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e13) != op1(e14,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e12) != op1(e14,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e14,e12) != op1(e14,e13)
& op1(e11,e12) != op1(e11,e14)
& op1(e14,e13) != op1(e14,e14)
& op1(e11,e11) != op1(e11,e14)
& op1(e13,e13) != op1(e14,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e12) != op1(e12,e14)
& op1(e12,e10) != op1(e12,e14)
& op1(e11,e13) != op1(e11,e14)
& op1(e10,e12) != op1(e11,e12)
& op1(e13,e11) != op1(e14,e11)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e14) != op1(e14,e14)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e14) != op1(e11,e14)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e14) != op1(e14,e14)
& op1(e13,e10) != op1(e14,e10)
& op1(e11,e10) != op1(e11,e14)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e14,e10)
& op1(e10,e11) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e14)
& op1(e13,e13) != op1(e13,e14)
& op1(e12,e12) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e13) != op1(e14,e13)
& op1(e12,e14) != op1(e13,e14)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e14,e12) != op1(e14,e14)
& op1(e13,e10) != op1(e13,e14)
& op1(e14,e11) != op1(e14,e14)
& op1(e11,e14) != op1(e12,e14)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e11) != op1(e14,e11)
& op1(e12,e13) != op1(e12,e14)
& op1(e10,e14) != op1(e14,e14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f14014,plain,
( ~ spl68_525
| ~ spl68_293 ),
inference(avatar_split_clause,[],[f14013,f2150,f3250]) ).
fof(f3250,plain,
( spl68_525
<=> e14 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_525])]) ).
fof(f2150,plain,
( spl68_293
<=> e14 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_293])]) ).
fof(f14013,plain,
( e14 != op1(e12,e13)
| ~ spl68_293 ),
inference(forward_demodulation,[],[f838,f2152]) ).
fof(f2152,plain,
( e14 = op1(e11,e13)
| ~ spl68_293 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f838,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f13999,plain,
( ~ spl68_251
| ~ spl68_293 ),
inference(avatar_split_clause,[],[f13998,f2150,f1973]) ).
fof(f13998,plain,
( e14 != op1(e11,e12)
| ~ spl68_293 ),
inference(forward_demodulation,[],[f862,f2152]) ).
fof(f862,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f13993,plain,
( ~ spl68_73
| ~ spl68_526
| spl68_587 ),
inference(avatar_contradiction_clause,[],[f13992]) ).
fof(f13992,plain,
( $false
| ~ spl68_73
| ~ spl68_526
| spl68_587 ),
inference(subsumption_resolution,[],[f13991,f1206]) ).
fof(f13991,plain,
( e24 != op2(e23,e21)
| ~ spl68_526
| spl68_587 ),
inference(forward_demodulation,[],[f3604,f3257]) ).
fof(f3257,plain,
( e23 = op2(e24,e21)
| ~ spl68_526 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3255,plain,
( spl68_526
<=> e23 = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_526])]) ).
fof(f3604,plain,
( e24 != op2(op2(e24,e21),e21)
| spl68_587 ),
inference(avatar_component_clause,[],[f3603]) ).
fof(f13963,plain,
( ~ spl68_548
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9053,f4213,f3387]) ).
fof(f3387,plain,
( spl68_548
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_548])]) ).
fof(f9053,plain,
( e13 != op1(e12,e13)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9052,f249]) ).
fof(f249,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = unit1
| e11 = unit1
| e14 = unit1
| e12 = unit1
| e13 = unit1 )
& e13 = op1(e13,unit1)
& e11 = op1(unit1,e11)
& e14 = op1(unit1,e14)
& e10 = op1(e10,unit1)
& e11 = op1(e11,unit1)
& e12 = op1(e12,unit1)
& e10 = op1(unit1,e10)
& e13 = op1(unit1,e13)
& e14 = op1(e14,unit1)
& e12 = op1(unit1,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f9052,plain,
( op1(e12,e13) != op1(unit1,e13)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f831,f4215]) ).
fof(f831,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f13955,plain,
( ~ spl68_293
| ~ spl68_552
| spl68_559 ),
inference(avatar_split_clause,[],[f11059,f3452,f3410,f2150]) ).
fof(f3410,plain,
( spl68_552
<=> e14 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_552])]) ).
fof(f3452,plain,
( spl68_559
<=> op1(e11,e13) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_559])]) ).
fof(f11059,plain,
( e14 != op1(e11,e13)
| ~ spl68_552
| spl68_559 ),
inference(forward_demodulation,[],[f3454,f3412]) ).
fof(f3412,plain,
( e14 = op1(e13,e11)
| ~ spl68_552 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f3454,plain,
( op1(e11,e13) != op1(e13,e11)
| spl68_559 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f13929,plain,
( ~ spl68_202
| ~ spl68_428
| spl68_622 ),
inference(avatar_contradiction_clause,[],[f13928]) ).
fof(f13928,plain,
( $false
| ~ spl68_202
| ~ spl68_428
| spl68_622 ),
inference(subsumption_resolution,[],[f13426,f2753]) ).
fof(f2753,plain,
( e20 = op2(e24,e24)
| ~ spl68_428 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2751,plain,
( spl68_428
<=> e20 = op2(e24,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_428])]) ).
fof(f13426,plain,
( e20 != op2(e24,e24)
| ~ spl68_202
| spl68_622 ),
inference(forward_demodulation,[],[f3808,f1755]) ).
fof(f3808,plain,
( e20 != op2(op2(e20,e24),e24)
| spl68_622 ),
inference(avatar_component_clause,[],[f3807]) ).
fof(f13913,plain,
( ~ spl68_399
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f13912]) ).
fof(f13912,plain,
( $false
| ~ spl68_399
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f13911,f533]) ).
fof(f533,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( e10 != e11
& e11 != e12
& e10 != e12
& e11 != e13
& e10 != e13
& e10 != e14
& e12 != e14
& e11 != e14
& e12 != e13
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f13911,plain,
( e12 = e13
| ~ spl68_399
| ~ spl68_681 ),
inference(forward_demodulation,[],[f13910,f247]) ).
fof(f247,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f13910,plain,
( e13 = op1(unit1,e12)
| ~ spl68_399
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2614,f4215]) ).
fof(f2614,plain,
( e13 = op1(e10,e12)
| ~ spl68_399 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f2612,plain,
( spl68_399
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_399])]) ).
fof(f13585,plain,
( spl68_426
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f13584]) ).
fof(f13584,plain,
( $false
| spl68_426
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f13583,f249]) ).
fof(f13583,plain,
( e13 != op1(unit1,e13)
| spl68_426
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2743,f4215]) ).
fof(f2743,plain,
( e13 != op1(e10,e13)
| spl68_426 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2742,plain,
( spl68_426
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_426])]) ).
fof(f13486,plain,
( ~ spl68_220
| ~ spl68_465
| spl68_516
| ~ spl68_530 ),
inference(avatar_contradiction_clause,[],[f13485]) ).
fof(f13485,plain,
( $false
| ~ spl68_220
| ~ spl68_465
| spl68_516
| ~ spl68_530 ),
inference(subsumption_resolution,[],[f13484,f3200]) ).
fof(f3200,plain,
( e20 != e22
| spl68_516 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f3198,plain,
( spl68_516
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_516])]) ).
fof(f13484,plain,
( e20 = e22
| ~ spl68_220
| ~ spl68_465
| ~ spl68_530 ),
inference(forward_demodulation,[],[f13483,f2925]) ).
fof(f2925,plain,
( e20 = op2(e21,e24)
| ~ spl68_465 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f2923,plain,
( spl68_465
<=> e20 = op2(e21,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_465])]) ).
fof(f13483,plain,
( e22 = op2(e21,e24)
| ~ spl68_220
| ~ spl68_530 ),
inference(forward_demodulation,[],[f3277,f1833]) ).
fof(f1833,plain,
( e21 = op2(e22,e24)
| ~ spl68_220 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f1831,plain,
( spl68_220
<=> e21 = op2(e22,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_220])]) ).
fof(f13403,plain,
( spl68_171
| ~ spl68_220
| ~ spl68_225 ),
inference(avatar_contradiction_clause,[],[f13402]) ).
fof(f13402,plain,
( $false
| spl68_171
| ~ spl68_220
| ~ spl68_225 ),
inference(subsumption_resolution,[],[f13401,f1833]) ).
fof(f13401,plain,
( e21 != op2(e22,e24)
| spl68_171
| ~ spl68_225 ),
inference(forward_demodulation,[],[f1618,f1856]) ).
fof(f1856,plain,
( e21 = op2(e24,e22)
| ~ spl68_225 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1854,plain,
( spl68_225
<=> e21 = op2(e24,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_225])]) ).
fof(f1618,plain,
( op2(e22,e24) != op2(e24,e22)
| spl68_171 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1616,plain,
( spl68_171
<=> op2(e22,e24) = op2(e24,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_171])]) ).
fof(f13297,plain,
( ~ spl68_32
| ~ spl68_202
| spl68_693 ),
inference(avatar_contradiction_clause,[],[f13296]) ).
fof(f13296,plain,
( $false
| ~ spl68_32
| ~ spl68_202
| spl68_693 ),
inference(subsumption_resolution,[],[f13295,f1035]) ).
fof(f1035,plain,
( e24 = op2(e24,e20)
| ~ spl68_32 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl68_32
<=> e24 = op2(e24,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_32])]) ).
fof(f13295,plain,
( e24 != op2(e24,e20)
| ~ spl68_202
| spl68_693 ),
inference(forward_demodulation,[],[f4303,f1755]) ).
fof(f4303,plain,
( e24 != op2(op2(e20,e24),e20)
| spl68_693 ),
inference(avatar_component_clause,[],[f4301]) ).
fof(f4301,plain,
( spl68_693
<=> e24 = op2(op2(e20,e24),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_693])]) ).
fof(f13291,plain,
( ~ spl68_32
| ~ spl68_202
| spl68_568 ),
inference(avatar_contradiction_clause,[],[f13290]) ).
fof(f13290,plain,
( $false
| ~ spl68_32
| ~ spl68_202
| spl68_568 ),
inference(subsumption_resolution,[],[f13289,f1755]) ).
fof(f13289,plain,
( e24 != op2(e20,e24)
| ~ spl68_32
| spl68_568 ),
inference(forward_demodulation,[],[f3504,f1035]) ).
fof(f3504,plain,
( op2(e20,e24) != op2(e24,e20)
| spl68_568 ),
inference(avatar_component_clause,[],[f3502]) ).
fof(f3502,plain,
( spl68_568
<=> op2(e20,e24) = op2(e24,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_568])]) ).
fof(f13213,plain,
( ~ spl68_176
| ~ spl68_594
| spl68_601 ),
inference(avatar_contradiction_clause,[],[f13212]) ).
fof(f13212,plain,
( $false
| ~ spl68_176
| ~ spl68_594
| spl68_601 ),
inference(subsumption_resolution,[],[f13211,f1641]) ).
fof(f13211,plain,
( e21 != op2(e20,e21)
| ~ spl68_594
| spl68_601 ),
inference(forward_demodulation,[],[f3685,f3640]) ).
fof(f3640,plain,
( e21 = op2(e21,e20)
| ~ spl68_594 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f3638,plain,
( spl68_594
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_594])]) ).
fof(f3685,plain,
( op2(e20,e21) != op2(e21,e20)
| spl68_601 ),
inference(avatar_component_clause,[],[f3683]) ).
fof(f3683,plain,
( spl68_601
<=> op2(e20,e21) = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_601])]) ).
fof(f13019,plain,
( spl68_90
| ~ spl68_348
| ~ spl68_403 ),
inference(avatar_contradiction_clause,[],[f13018]) ).
fof(f13018,plain,
( $false
| spl68_90
| ~ spl68_348
| ~ spl68_403 ),
inference(subsumption_resolution,[],[f13017,f2632]) ).
fof(f13017,plain,
( e22 != op2(e20,e22)
| spl68_90
| ~ spl68_348 ),
inference(forward_demodulation,[],[f1280,f2396]) ).
fof(f2396,plain,
( e22 = op2(e22,e20)
| ~ spl68_348 ),
inference(avatar_component_clause,[],[f2394]) ).
fof(f2394,plain,
( spl68_348
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_348])]) ).
fof(f1280,plain,
( op2(e20,e22) != op2(e22,e20)
| spl68_90 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1278,plain,
( spl68_90
<=> op2(e20,e22) = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_90])]) ).
fof(f12903,plain,
( ~ spl68_81
| ~ spl68_83 ),
inference(avatar_split_clause,[],[f12902,f1248,f1240]) ).
fof(f1240,plain,
( spl68_81
<=> e24 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_81])]) ).
fof(f1248,plain,
( spl68_83
<=> e24 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_83])]) ).
fof(f12902,plain,
( e24 != op2(e21,e22)
| ~ spl68_83 ),
inference(forward_demodulation,[],[f352,f1250]) ).
fof(f1250,plain,
( e24 = op2(e21,e23)
| ~ spl68_83 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f352,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f12884,plain,
( ~ spl68_620
| ~ spl68_473
| spl68_480
| ~ spl68_514
| ~ spl68_525 ),
inference(avatar_split_clause,[],[f12883,f3250,f3183,f3007,f2979,f3795]) ).
fof(f2979,plain,
( spl68_473
<=> e24 = h4(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_473])]) ).
fof(f3007,plain,
( spl68_480
<=> h4(op1(e12,e13)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_480])]) ).
fof(f12883,plain,
( e24 != op2(e22,e23)
| ~ spl68_473
| spl68_480
| ~ spl68_514
| ~ spl68_525 ),
inference(forward_demodulation,[],[f12882,f2980]) ).
fof(f2980,plain,
( e24 = h4(e14)
| ~ spl68_473 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f12882,plain,
( op2(e22,e23) != h4(e14)
| spl68_480
| ~ spl68_514
| ~ spl68_525 ),
inference(forward_demodulation,[],[f12881,f3252]) ).
fof(f3252,plain,
( e14 = op1(e12,e13)
| ~ spl68_525 ),
inference(avatar_component_clause,[],[f3250]) ).
fof(f12881,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| spl68_480
| ~ spl68_514 ),
inference(forward_demodulation,[],[f3009,f3184]) ).
fof(f3009,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl68_480 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f12856,plain,
( ~ spl68_466
| ~ spl68_465 ),
inference(avatar_split_clause,[],[f12855,f2923,f2927]) ).
fof(f12855,plain,
( e20 != op2(e21,e23)
| ~ spl68_465 ),
inference(backward_demodulation,[],[f356,f2925]) ).
fof(f356,plain,
op2(e21,e23) != op2(e21,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f12653,plain,
( ~ spl68_465
| ~ spl68_429
| spl68_451 ),
inference(avatar_split_clause,[],[f12652,f2856,f2755,f2923]) ).
fof(f2856,plain,
( spl68_451
<=> op2(e21,e24) = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_451])]) ).
fof(f12652,plain,
( e20 != op2(e21,e24)
| ~ spl68_429
| spl68_451 ),
inference(forward_demodulation,[],[f2858,f2757]) ).
fof(f2858,plain,
( op2(e21,e24) != op2(e24,e21)
| spl68_451 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f12650,plain,
( ~ spl68_538
| ~ spl68_594 ),
inference(avatar_split_clause,[],[f12649,f3638,f3322]) ).
fof(f3322,plain,
( spl68_538
<=> e21 = op2(e21,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_538])]) ).
fof(f12649,plain,
( e21 != op2(e21,e24)
| ~ spl68_594 ),
inference(forward_demodulation,[],[f314,f3640]) ).
fof(f314,plain,
op2(e21,e20) != op2(e21,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f12575,plain,
( ~ spl68_358
| ~ spl68_407 ),
inference(avatar_split_clause,[],[f10504,f2648,f2439]) ).
fof(f2439,plain,
( spl68_358
<=> e22 = op2(e21,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_358])]) ).
fof(f10504,plain,
( e22 != op2(e21,e24)
| ~ spl68_407 ),
inference(forward_demodulation,[],[f393,f2650]) ).
fof(f393,plain,
op2(e21,e24) != op2(e23,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f12564,plain,
( ~ spl68_73
| ~ spl68_429
| spl68_511
| ~ spl68_532 ),
inference(avatar_contradiction_clause,[],[f12563]) ).
fof(f12563,plain,
( $false
| ~ spl68_73
| ~ spl68_429
| spl68_511
| ~ spl68_532 ),
inference(subsumption_resolution,[],[f12562,f3165]) ).
fof(f3165,plain,
( e20 != e23
| spl68_511 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f3163,plain,
( spl68_511
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_511])]) ).
fof(f12562,plain,
( e20 = e23
| ~ spl68_73
| ~ spl68_429
| ~ spl68_532 ),
inference(forward_demodulation,[],[f12561,f2757]) ).
fof(f12561,plain,
( e23 = op2(e24,e21)
| ~ spl68_73
| ~ spl68_532 ),
inference(forward_demodulation,[],[f3288,f1206]) ).
fof(f3288,plain,
( e23 = op2(op2(e23,e21),e21)
| ~ spl68_532 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f3286,plain,
( spl68_532
<=> e23 = op2(op2(e23,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_532])]) ).
fof(f12455,plain,
( ~ spl68_83
| ~ spl68_73
| spl68_541 ),
inference(avatar_split_clause,[],[f12454,f3341,f1204,f1248]) ).
fof(f3341,plain,
( spl68_541
<=> op2(e21,e23) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_541])]) ).
fof(f12454,plain,
( e24 != op2(e21,e23)
| ~ spl68_73
| spl68_541 ),
inference(forward_demodulation,[],[f3343,f1206]) ).
fof(f3343,plain,
( op2(e21,e23) != op2(e23,e21)
| spl68_541 ),
inference(avatar_component_clause,[],[f3341]) ).
fof(f12405,plain,
( spl68_662
| ~ spl68_575
| ~ spl68_609 ),
inference(avatar_split_clause,[],[f12404,f3740,f3541,f4078]) ).
fof(f4078,plain,
( spl68_662
<=> e24 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_662])]) ).
fof(f3541,plain,
( spl68_575
<=> e24 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_575])]) ).
fof(f12404,plain,
( e24 = h3(e11)
| ~ spl68_575
| ~ spl68_609 ),
inference(forward_demodulation,[],[f3543,f3741]) ).
fof(f3543,plain,
( e24 = op2(e22,e22)
| ~ spl68_575 ),
inference(avatar_component_clause,[],[f3541]) ).
fof(f12403,plain,
( spl68_85
| ~ spl68_202
| ~ spl68_296
| ~ spl68_343
| ~ spl68_638 ),
inference(avatar_contradiction_clause,[],[f12402]) ).
fof(f12402,plain,
( $false
| spl68_85
| ~ spl68_202
| ~ spl68_296
| ~ spl68_343
| ~ spl68_638 ),
inference(subsumption_resolution,[],[f12401,f10312]) ).
fof(f10312,plain,
( e23 != e24
| spl68_85
| ~ spl68_202 ),
inference(backward_demodulation,[],[f1258,f1755]) ).
fof(f1258,plain,
( e23 != op2(e20,e24)
| spl68_85 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1257,plain,
( spl68_85
<=> e23 = op2(e20,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_85])]) ).
fof(f12401,plain,
( e23 = e24
| ~ spl68_296
| ~ spl68_343
| ~ spl68_638 ),
inference(forward_demodulation,[],[f12400,f2167]) ).
fof(f2167,plain,
( e23 = op2(e21,e22)
| ~ spl68_296 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f2165,plain,
( spl68_296
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_296])]) ).
fof(f12400,plain,
( e24 = op2(e21,e22)
| ~ spl68_343
| ~ spl68_638 ),
inference(forward_demodulation,[],[f10900,f2372]) ).
fof(f2372,plain,
( e24 = h2(e14)
| ~ spl68_343 ),
inference(avatar_component_clause,[],[f2371]) ).
fof(f2371,plain,
( spl68_343
<=> e24 = h2(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_343])]) ).
fof(f10900,plain,
( op2(e21,e22) = h2(e14)
| ~ spl68_638 ),
inference(backward_demodulation,[],[f3370,f3915]) ).
fof(f3915,plain,
( e22 = h2(e11)
| ~ spl68_638 ),
inference(avatar_component_clause,[],[f3914]) ).
fof(f3914,plain,
( spl68_638
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_638])]) ).
fof(f3370,plain,
h2(e14) = op2(e21,h2(e11)),
inference(backward_demodulation,[],[f261,f262]) ).
fof(f262,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e21,e21) = h2(e11)
& op2(e21,op2(e21,e21)) = h2(e14)
& h2(e10) = op2(e21,op2(op2(e21,op2(e21,e21)),e21))
& op2(op2(e21,op2(e21,e21)),e21) = h2(e12)
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f261,plain,
op2(e21,op2(e21,e21)) = h2(e14),
inference(cnf_transformation,[],[f17]) ).
fof(f12381,plain,
( ~ spl68_232
| ~ spl68_296
| ~ spl68_518 ),
inference(avatar_contradiction_clause,[],[f12380]) ).
fof(f12380,plain,
( $false
| ~ spl68_232
| ~ spl68_296
| ~ spl68_518 ),
inference(subsumption_resolution,[],[f12379,f871]) ).
fof(f12379,plain,
( e20 = e21
| ~ spl68_232
| ~ spl68_296
| ~ spl68_518 ),
inference(forward_demodulation,[],[f12378,f1885]) ).
fof(f12378,plain,
( e21 = op2(e23,e22)
| ~ spl68_296
| ~ spl68_518 ),
inference(forward_demodulation,[],[f3213,f2167]) ).
fof(f3213,plain,
( e21 = op2(op2(e21,e22),e22)
| ~ spl68_518 ),
inference(avatar_component_clause,[],[f3211]) ).
fof(f3211,plain,
( spl68_518
<=> e21 = op2(op2(e21,e22),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_518])]) ).
fof(f12254,plain,
( ~ spl68_419
| ~ spl68_594 ),
inference(avatar_split_clause,[],[f12253,f3638,f2708]) ).
fof(f2708,plain,
( spl68_419
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_419])]) ).
fof(f12253,plain,
( e21 != op2(e21,e22)
| ~ spl68_594 ),
inference(forward_demodulation,[],[f316,f3640]) ).
fof(f316,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f12215,plain,
( ~ spl68_20
| ~ spl68_407
| ~ spl68_473
| spl68_481
| ~ spl68_514 ),
inference(avatar_contradiction_clause,[],[f12214]) ).
fof(f12214,plain,
( $false
| ~ spl68_20
| ~ spl68_407
| ~ spl68_473
| spl68_481
| ~ spl68_514 ),
inference(subsumption_resolution,[],[f12213,f2650]) ).
fof(f12213,plain,
( e22 != op2(e23,e24)
| ~ spl68_20
| ~ spl68_473
| spl68_481
| ~ spl68_514 ),
inference(forward_demodulation,[],[f12212,f3184]) ).
fof(f12212,plain,
( op2(e23,e24) != h4(e12)
| ~ spl68_20
| ~ spl68_473
| spl68_481 ),
inference(forward_demodulation,[],[f12211,f983]) ).
fof(f983,plain,
( e12 = op1(e13,e14)
| ~ spl68_20 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl68_20
<=> e12 = op1(e13,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_20])]) ).
fof(f12211,plain,
( op2(e23,e24) != h4(op1(e13,e14))
| ~ spl68_473
| spl68_481 ),
inference(forward_demodulation,[],[f3013,f2980]) ).
fof(f3013,plain,
( h4(op1(e13,e14)) != op2(e23,h4(e14))
| spl68_481 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f3011,plain,
( spl68_481
<=> h4(op1(e13,e14)) = op2(e23,h4(e14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_481])]) ).
fof(f12117,plain,
( ~ spl68_86
| ~ spl68_169
| spl68_479
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f12116]) ).
fof(f12116,plain,
( $false
| ~ spl68_86
| ~ spl68_169
| spl68_479
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f12115,f1263]) ).
fof(f12115,plain,
( e23 != op2(e20,e23)
| ~ spl68_169
| spl68_479
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12114,f165]) ).
fof(f12114,plain,
( op2(e20,e23) != h4(e13)
| ~ spl68_169
| spl68_479
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12113,f249]) ).
fof(f12113,plain,
( op2(e20,e23) != h4(op1(unit1,e13))
| ~ spl68_169
| spl68_479
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12112,f8935]) ).
fof(f8935,plain,
( e20 = h4(unit1)
| ~ spl68_169
| ~ spl68_681 ),
inference(backward_demodulation,[],[f1608,f4215]) ).
fof(f1608,plain,
( e20 = h4(e10)
| ~ spl68_169 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1607,plain,
( spl68_169
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_169])]) ).
fof(f12112,plain,
( h4(op1(unit1,e13)) != op2(h4(unit1),e23)
| spl68_479
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3005,f4215]) ).
fof(f3005,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl68_479 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3003,plain,
( spl68_479
<=> h4(op1(e10,e13)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_479])]) ).
fof(f12090,plain,
( ~ spl68_138
| spl68_478
| ~ spl68_514 ),
inference(avatar_contradiction_clause,[],[f12089]) ).
fof(f12089,plain,
( $false
| ~ spl68_138
| spl68_478
| ~ spl68_514 ),
inference(subsumption_resolution,[],[f12088,f3184]) ).
fof(f12088,plain,
( e22 != h4(e12)
| ~ spl68_138
| spl68_478 ),
inference(forward_demodulation,[],[f3001,f1482]) ).
fof(f1482,plain,
( e12 = op1(e14,e13)
| ~ spl68_138 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1480,plain,
( spl68_138
<=> e12 = op1(e14,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_138])]) ).
fof(f3001,plain,
( e22 != h4(op1(e14,e13))
| spl68_478 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f2999,plain,
( spl68_478
<=> e22 = h4(op1(e14,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_478])]) ).
fof(f12040,plain,
( ~ spl68_36
| ~ spl68_169
| spl68_482
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f12039]) ).
fof(f12039,plain,
( $false
| ~ spl68_36
| ~ spl68_169
| spl68_482
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f12038,f1053]) ).
fof(f1053,plain,
( e23 = op2(e23,e20)
| ~ spl68_36 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1051,plain,
( spl68_36
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_36])]) ).
fof(f12038,plain,
( e23 != op2(e23,e20)
| ~ spl68_169
| spl68_482
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12037,f165]) ).
fof(f12037,plain,
( op2(e23,e20) != h4(e13)
| ~ spl68_169
| spl68_482
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12036,f8935]) ).
fof(f12036,plain,
( h4(e13) != op2(e23,h4(unit1))
| spl68_482
| ~ spl68_681 ),
inference(forward_demodulation,[],[f12035,f256]) ).
fof(f256,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f12035,plain,
( op2(e23,h4(unit1)) != h4(op1(e13,unit1))
| spl68_482
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3017,f4215]) ).
fof(f3017,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl68_482 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f3015,plain,
( spl68_482
<=> h4(op1(e13,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_482])]) ).
fof(f11972,plain,
( ~ spl68_169
| ~ spl68_232
| ~ spl68_300
| spl68_477
| ~ spl68_514
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11971]) ).
fof(f11971,plain,
( $false
| ~ spl68_169
| ~ spl68_232
| ~ spl68_300
| spl68_477
| ~ spl68_514
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11970,f1885]) ).
fof(f11970,plain,
( e20 != op2(e23,e22)
| ~ spl68_169
| ~ spl68_300
| spl68_477
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11969,f8935]) ).
fof(f11969,plain,
( op2(e23,e22) != h4(unit1)
| ~ spl68_300
| spl68_477
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11968,f8939]) ).
fof(f11968,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| spl68_477
| ~ spl68_514 ),
inference(forward_demodulation,[],[f2997,f3184]) ).
fof(f2997,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl68_477 ),
inference(avatar_component_clause,[],[f2995]) ).
fof(f2995,plain,
( spl68_477
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_477])]) ).
fof(f11967,plain,
( ~ spl68_73
| ~ spl68_473
| spl68_475
| ~ spl68_552
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11966]) ).
fof(f11966,plain,
( $false
| ~ spl68_73
| ~ spl68_473
| spl68_475
| ~ spl68_552
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11965,f1206]) ).
fof(f11965,plain,
( e24 != op2(e23,e21)
| ~ spl68_473
| spl68_475
| ~ spl68_552
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11964,f2980]) ).
fof(f11964,plain,
( op2(e23,e21) != h4(e14)
| spl68_475
| ~ spl68_552
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11963,f3412]) ).
fof(f11963,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| spl68_475
| ~ spl68_685 ),
inference(forward_demodulation,[],[f2989,f4235]) ).
fof(f4235,plain,
( e21 = h4(e11)
| ~ spl68_685 ),
inference(avatar_component_clause,[],[f4234]) ).
fof(f4234,plain,
( spl68_685
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_685])]) ).
fof(f2989,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl68_475 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f2987,plain,
( spl68_475
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_475])]) ).
fof(f11925,plain,
( ~ spl68_169
| ~ spl68_392
| ~ spl68_466
| spl68_474
| ~ spl68_681
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11924]) ).
fof(f11924,plain,
( $false
| ~ spl68_169
| ~ spl68_392
| ~ spl68_466
| spl68_474
| ~ spl68_681
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11923,f2929]) ).
fof(f11923,plain,
( e20 != op2(e21,e23)
| ~ spl68_169
| ~ spl68_392
| spl68_474
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11922,f8935]) ).
fof(f11922,plain,
( op2(e21,e23) != h4(unit1)
| ~ spl68_392
| spl68_474
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11921,f10220]) ).
fof(f10220,plain,
( op1(e11,e13) = unit1
| ~ spl68_392
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2583,f4215]) ).
fof(f2583,plain,
( e10 = op1(e11,e13)
| ~ spl68_392 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f2581,plain,
( spl68_392
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_392])]) ).
fof(f11921,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| spl68_474
| ~ spl68_685 ),
inference(forward_demodulation,[],[f2985,f4235]) ).
fof(f2985,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl68_474 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f2983,plain,
( spl68_474
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_474])]) ).
fof(f11867,plain,
( spl68_155
| ~ spl68_169
| ~ spl68_176
| ~ spl68_681
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11866]) ).
fof(f11866,plain,
( $false
| spl68_155
| ~ spl68_169
| ~ spl68_176
| ~ spl68_681
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11865,f1641]) ).
fof(f11865,plain,
( e21 != op2(e20,e21)
| spl68_155
| ~ spl68_169
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11864,f4235]) ).
fof(f11864,plain,
( op2(e20,e21) != h4(e11)
| spl68_155
| ~ spl68_169
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11863,f8935]) ).
fof(f11863,plain,
( h4(e11) != op2(h4(unit1),e21)
| spl68_155
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11862,f255]) ).
fof(f255,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f11862,plain,
( op2(h4(unit1),e21) != h4(op1(unit1,e11))
| spl68_155
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11861,f4215]) ).
fof(f11861,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| spl68_155
| ~ spl68_685 ),
inference(forward_demodulation,[],[f1552,f4235]) ).
fof(f1552,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl68_155 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1550,plain,
( spl68_155
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_155])]) ).
fof(f11838,plain,
( ~ spl68_4
| spl68_166
| ~ spl68_249
| ~ spl68_473
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11837]) ).
fof(f11837,plain,
( $false
| ~ spl68_4
| spl68_166
| ~ spl68_249
| ~ spl68_473
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11836,f1966]) ).
fof(f11836,plain,
( e23 != op2(e21,e24)
| ~ spl68_4
| spl68_166
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11835,f165]) ).
fof(f11835,plain,
( op2(e21,e24) != h4(e13)
| ~ spl68_4
| spl68_166
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11834,f913]) ).
fof(f913,plain,
( e13 = op1(e11,e14)
| ~ spl68_4 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f911,plain,
( spl68_4
<=> e13 = op1(e11,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_4])]) ).
fof(f11834,plain,
( op2(e21,e24) != h4(op1(e11,e14))
| spl68_166
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11833,f4235]) ).
fof(f11833,plain,
( h4(op1(e11,e14)) != op2(h4(e11),e24)
| spl68_166
| ~ spl68_473 ),
inference(forward_demodulation,[],[f1596,f2980]) ).
fof(f1596,plain,
( h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| spl68_166 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl68_166
<=> h4(op1(e11,e14)) = op2(h4(e11),h4(e14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_166])]) ).
fof(f11827,plain,
( spl68_150
| ~ spl68_169
| ~ spl68_403
| ~ spl68_514
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11826]) ).
fof(f11826,plain,
( $false
| spl68_150
| ~ spl68_169
| ~ spl68_403
| ~ spl68_514
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11825,f2632]) ).
fof(f11825,plain,
( e22 != op2(e20,e22)
| spl68_150
| ~ spl68_169
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11824,f3184]) ).
fof(f11824,plain,
( op2(e20,e22) != h4(e12)
| spl68_150
| ~ spl68_169
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11823,f247]) ).
fof(f11823,plain,
( op2(e20,e22) != h4(op1(unit1,e12))
| spl68_150
| ~ spl68_169
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11822,f8935]) ).
fof(f11822,plain,
( h4(op1(unit1,e12)) != op2(h4(unit1),e22)
| spl68_150
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11821,f4215]) ).
fof(f11821,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| spl68_150
| ~ spl68_514 ),
inference(forward_demodulation,[],[f1532,f3184]) ).
fof(f1532,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl68_150 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1530,plain,
( spl68_150
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_150])]) ).
fof(f11761,plain,
( spl68_167
| ~ spl68_169
| ~ spl68_202
| ~ spl68_473
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11760]) ).
fof(f11760,plain,
( $false
| spl68_167
| ~ spl68_169
| ~ spl68_202
| ~ spl68_473
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11759,f1755]) ).
fof(f11759,plain,
( e24 != op2(e20,e24)
| spl68_167
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11758,f2980]) ).
fof(f11758,plain,
( op2(e20,e24) != h4(e14)
| spl68_167
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11757,f254]) ).
fof(f254,plain,
e14 = op1(unit1,e14),
inference(cnf_transformation,[],[f2]) ).
fof(f11757,plain,
( op2(e20,e24) != h4(op1(unit1,e14))
| spl68_167
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11756,f8935]) ).
fof(f11756,plain,
( h4(op1(unit1,e14)) != op2(h4(unit1),e24)
| spl68_167
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11755,f4215]) ).
fof(f11755,plain,
( h4(op1(e10,e14)) != op2(h4(e10),e24)
| spl68_167
| ~ spl68_473 ),
inference(forward_demodulation,[],[f1600,f2980]) ).
fof(f1600,plain,
( h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| spl68_167 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl68_167
<=> h4(op1(e10,e14)) = op2(h4(e10),h4(e14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_167])]) ).
fof(f11724,plain,
( ~ spl68_81
| spl68_151
| ~ spl68_251
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11723]) ).
fof(f11723,plain,
( $false
| ~ spl68_81
| spl68_151
| ~ spl68_251
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11722,f1242]) ).
fof(f1242,plain,
( e24 = op2(e21,e22)
| ~ spl68_81 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f11722,plain,
( e24 != op2(e21,e22)
| spl68_151
| ~ spl68_251
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11721,f2980]) ).
fof(f11721,plain,
( op2(e21,e22) != h4(e14)
| spl68_151
| ~ spl68_251
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11720,f1975]) ).
fof(f1975,plain,
( e14 = op1(e11,e12)
| ~ spl68_251 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f11720,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| spl68_151
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11719,f4235]) ).
fof(f11719,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| spl68_151
| ~ spl68_514 ),
inference(forward_demodulation,[],[f1536,f3184]) ).
fof(f1536,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl68_151 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1534,plain,
( spl68_151
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_151])]) ).
fof(f11699,plain,
( ~ spl68_32
| spl68_162
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11698]) ).
fof(f11698,plain,
( $false
| ~ spl68_32
| spl68_162
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11697,f1035]) ).
fof(f11697,plain,
( e24 != op2(e24,e20)
| spl68_162
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11696,f2980]) ).
fof(f11696,plain,
( op2(e24,e20) != h4(e14)
| spl68_162
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11695,f248]) ).
fof(f248,plain,
e14 = op1(e14,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f11695,plain,
( op2(e24,e20) != h4(op1(e14,unit1))
| spl68_162
| ~ spl68_169
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11694,f2980]) ).
fof(f11694,plain,
( h4(op1(e14,unit1)) != op2(h4(e14),e20)
| spl68_162
| ~ spl68_169
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11693,f8935]) ).
fof(f11693,plain,
( h4(op1(e14,unit1)) != op2(h4(e14),h4(unit1))
| spl68_162
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1580,f4215]) ).
fof(f1580,plain,
( h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| spl68_162 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl68_162
<=> h4(op1(e14,e10)) = op2(h4(e14),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_162])]) ).
fof(f11674,plain,
( spl68_161
| ~ spl68_225
| ~ spl68_473
| ~ spl68_491
| ~ spl68_514
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11673]) ).
fof(f11673,plain,
( $false
| spl68_161
| ~ spl68_225
| ~ spl68_473
| ~ spl68_491
| ~ spl68_514
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11672,f1856]) ).
fof(f11672,plain,
( e21 != op2(e24,e22)
| spl68_161
| ~ spl68_473
| ~ spl68_491
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11671,f4235]) ).
fof(f11671,plain,
( op2(e24,e22) != h4(e11)
| spl68_161
| ~ spl68_473
| ~ spl68_491
| ~ spl68_514 ),
inference(forward_demodulation,[],[f11670,f3064]) ).
fof(f11670,plain,
( op2(e24,e22) != h4(op1(e14,e12))
| spl68_161
| ~ spl68_473
| ~ spl68_514 ),
inference(forward_demodulation,[],[f11669,f2980]) ).
fof(f11669,plain,
( h4(op1(e14,e12)) != op2(h4(e14),e22)
| spl68_161
| ~ spl68_514 ),
inference(forward_demodulation,[],[f1576,f3184]) ).
fof(f1576,plain,
( h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| spl68_161 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl68_161
<=> h4(op1(e14,e12)) = op2(h4(e14),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_161])]) ).
fof(f11621,plain,
( spl68_159
| ~ spl68_169
| ~ spl68_428
| ~ spl68_469
| ~ spl68_473
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11620]) ).
fof(f11620,plain,
( $false
| spl68_159
| ~ spl68_169
| ~ spl68_428
| ~ spl68_469
| ~ spl68_473
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11619,f2753]) ).
fof(f11619,plain,
( e20 != op2(e24,e24)
| spl68_159
| ~ spl68_169
| ~ spl68_469
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11618,f8935]) ).
fof(f11618,plain,
( op2(e24,e24) != h4(unit1)
| spl68_159
| ~ spl68_469
| ~ spl68_473
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11617,f11245]) ).
fof(f11245,plain,
( op1(e14,e14) = unit1
| ~ spl68_469
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2950,f4215]) ).
fof(f2950,plain,
( e10 = op1(e14,e14)
| ~ spl68_469 ),
inference(avatar_component_clause,[],[f2948]) ).
fof(f2948,plain,
( spl68_469
<=> e10 = op1(e14,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_469])]) ).
fof(f11617,plain,
( op2(e24,e24) != h4(op1(e14,e14))
| spl68_159
| ~ spl68_473 ),
inference(forward_demodulation,[],[f1568,f2980]) ).
fof(f1568,plain,
( h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| spl68_159 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f1566,plain,
( spl68_159
<=> h4(op1(e14,e14)) = op2(h4(e14),h4(e14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_159])]) ).
fof(f11564,plain,
( ~ spl68_65
| spl68_156
| ~ spl68_473
| ~ spl68_526
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11563]) ).
fof(f11563,plain,
( $false
| ~ spl68_65
| spl68_156
| ~ spl68_473
| ~ spl68_526
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11562,f3257]) ).
fof(f11562,plain,
( e23 != op2(e24,e21)
| ~ spl68_65
| spl68_156
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11561,f165]) ).
fof(f11561,plain,
( op2(e24,e21) != h4(e13)
| ~ spl68_65
| spl68_156
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11560,f1172]) ).
fof(f11560,plain,
( op2(e24,e21) != h4(op1(e14,e11))
| spl68_156
| ~ spl68_473
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11559,f2980]) ).
fof(f11559,plain,
( h4(op1(e14,e11)) != op2(h4(e14),e21)
| spl68_156
| ~ spl68_685 ),
inference(forward_demodulation,[],[f1556,f4235]) ).
fof(f1556,plain,
( h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| spl68_156 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f1554,plain,
( spl68_156
<=> h4(op1(e14,e11)) = op2(h4(e14),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_156])]) ).
fof(f11494,plain,
( spl68_153
| ~ spl68_169
| ~ spl68_240
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11493]) ).
fof(f11493,plain,
( $false
| spl68_153
| ~ spl68_169
| ~ spl68_240
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11492,f1922]) ).
fof(f1922,plain,
( e20 = op2(e20,e20)
| ~ spl68_240 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f1920,plain,
( spl68_240
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_240])]) ).
fof(f11492,plain,
( e20 != op2(e20,e20)
| spl68_153
| ~ spl68_169
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11491,f8935]) ).
fof(f11491,plain,
( op2(e20,e20) != h4(unit1)
| spl68_153
| ~ spl68_169
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11490,f8926]) ).
fof(f8926,plain,
( unit1 = op1(unit1,unit1)
| ~ spl68_681 ),
inference(backward_demodulation,[],[f250,f4215]) ).
fof(f250,plain,
e10 = op1(unit1,e10),
inference(cnf_transformation,[],[f2]) ).
fof(f11490,plain,
( op2(e20,e20) != h4(op1(unit1,unit1))
| spl68_153
| ~ spl68_169
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11489,f8935]) ).
fof(f11489,plain,
( h4(op1(unit1,unit1)) != op2(h4(unit1),h4(unit1))
| spl68_153
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1544,f4215]) ).
fof(f1544,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl68_153 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1542,plain,
( spl68_153
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_153])]) ).
fof(f11464,plain,
( ~ spl68_8
| spl68_168
| ~ spl68_220
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11463]) ).
fof(f11463,plain,
( $false
| ~ spl68_8
| spl68_168
| ~ spl68_220
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11462,f1833]) ).
fof(f11462,plain,
( e21 != op2(e22,e24)
| ~ spl68_8
| spl68_168
| ~ spl68_473
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11461,f4235]) ).
fof(f11461,plain,
( op2(e22,e24) != h4(e11)
| ~ spl68_8
| spl68_168
| ~ spl68_473
| ~ spl68_514 ),
inference(forward_demodulation,[],[f11460,f930]) ).
fof(f930,plain,
( e11 = op1(e12,e14)
| ~ spl68_8 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl68_8
<=> e11 = op1(e12,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_8])]) ).
fof(f11460,plain,
( op2(e22,e24) != h4(op1(e12,e14))
| spl68_168
| ~ spl68_473
| ~ spl68_514 ),
inference(forward_demodulation,[],[f11459,f3184]) ).
fof(f11459,plain,
( h4(op1(e12,e14)) != op2(h4(e12),e24)
| spl68_168
| ~ spl68_473 ),
inference(forward_demodulation,[],[f1604,f2980]) ).
fof(f1604,plain,
( h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| spl68_168 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1602,plain,
( spl68_168
<=> h4(op1(e12,e14)) = op2(h4(e12),h4(e14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_168])]) ).
fof(f11425,plain,
( spl68_164
| ~ spl68_169
| ~ spl68_348
| ~ spl68_514
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11424]) ).
fof(f11424,plain,
( $false
| spl68_164
| ~ spl68_169
| ~ spl68_348
| ~ spl68_514
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11423,f2396]) ).
fof(f11423,plain,
( e22 != op2(e22,e20)
| spl68_164
| ~ spl68_169
| ~ spl68_514
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11422,f3184]) ).
fof(f11422,plain,
( h4(e12) != op2(h4(e12),e20)
| spl68_164
| ~ spl68_169
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11421,f8935]) ).
fof(f11421,plain,
( h4(e12) != op2(h4(e12),h4(unit1))
| spl68_164
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11420,f251]) ).
fof(f251,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f11420,plain,
( op2(h4(e12),h4(unit1)) != h4(op1(e12,unit1))
| spl68_164
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1588,f4215]) ).
fof(f1588,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl68_164 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1586,plain,
( spl68_164
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_164])]) ).
fof(f11323,plain,
( ~ spl68_96
| spl68_148
| ~ spl68_169
| ~ spl68_504
| ~ spl68_514
| ~ spl68_681
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f11322]) ).
fof(f11322,plain,
( $false
| ~ spl68_96
| spl68_148
| ~ spl68_169
| ~ spl68_504
| ~ spl68_514
| ~ spl68_681
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f11321,f1306]) ).
fof(f1306,plain,
( e20 = op2(e22,e21)
| ~ spl68_96 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl68_96
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_96])]) ).
fof(f11321,plain,
( e20 != op2(e22,e21)
| spl68_148
| ~ spl68_169
| ~ spl68_504
| ~ spl68_514
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f11320,f8935]) ).
fof(f11320,plain,
( op2(e22,e21) != h4(unit1)
| spl68_148
| ~ spl68_504
| ~ spl68_514
| ~ spl68_681
| ~ spl68_685 ),
inference(forward_demodulation,[],[f10701,f11299]) ).
fof(f11299,plain,
( op1(e12,e11) = unit1
| ~ spl68_504
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3124,f4215]) ).
fof(f3124,plain,
( e10 = op1(e12,e11)
| ~ spl68_504 ),
inference(avatar_component_clause,[],[f3122]) ).
fof(f3122,plain,
( spl68_504
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_504])]) ).
fof(f10701,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| spl68_148
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f10700,f3184]) ).
fof(f10700,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl68_148
| ~ spl68_685 ),
inference(forward_demodulation,[],[f1524,f4235]) ).
fof(f1524,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl68_148 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl68_148
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_148])]) ).
fof(f11243,plain,
( ~ spl68_66
| ~ spl68_525
| spl68_689 ),
inference(avatar_contradiction_clause,[],[f11242]) ).
fof(f11242,plain,
( $false
| ~ spl68_66
| ~ spl68_525
| spl68_689 ),
inference(subsumption_resolution,[],[f11241,f1176]) ).
fof(f1176,plain,
( e13 = op1(e14,e12)
| ~ spl68_66 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1174,plain,
( spl68_66
<=> e13 = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_66])]) ).
fof(f11241,plain,
( e13 != op1(e14,e12)
| ~ spl68_525
| spl68_689 ),
inference(forward_demodulation,[],[f4278,f3252]) ).
fof(f4278,plain,
( e13 != op1(op1(e12,e13),e12)
| spl68_689 ),
inference(avatar_component_clause,[],[f4276]) ).
fof(f4276,plain,
( spl68_689
<=> e13 = op1(op1(e12,e13),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_689])]) ).
fof(f11224,plain,
( ~ spl68_92
| ~ spl68_410
| ~ spl68_552
| spl68_679
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11223]) ).
fof(f11223,plain,
( $false
| ~ spl68_92
| ~ spl68_410
| ~ spl68_552
| spl68_679
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11222,f4206]) ).
fof(f4206,plain,
( e13 != unit1
| spl68_679 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f4205,plain,
( spl68_679
<=> e13 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_679])]) ).
fof(f11222,plain,
( e13 = unit1
| ~ spl68_92
| ~ spl68_410
| ~ spl68_552
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11221,f9153]) ).
fof(f9153,plain,
( op1(e14,e11) = unit1
| ~ spl68_410
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2668,f4215]) ).
fof(f2668,plain,
( e10 = op1(e14,e11)
| ~ spl68_410 ),
inference(avatar_component_clause,[],[f2666]) ).
fof(f2666,plain,
( spl68_410
<=> e10 = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_410])]) ).
fof(f11221,plain,
( e13 = op1(e14,e11)
| ~ spl68_92
| ~ spl68_552 ),
inference(forward_demodulation,[],[f1289,f3412]) ).
fof(f1289,plain,
( e13 = op1(op1(e13,e11),e11)
| ~ spl68_92 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1287,plain,
( spl68_92
<=> e13 = op1(op1(e13,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_92])]) ).
fof(f11208,plain,
( ~ spl68_300
| ~ spl68_539
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11207]) ).
fof(f11207,plain,
( $false
| ~ spl68_300
| ~ spl68_539
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11206,f533]) ).
fof(f11206,plain,
( e12 = e13
| ~ spl68_300
| ~ spl68_539
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11205,f247]) ).
fof(f11205,plain,
( e13 = op1(unit1,e12)
| ~ spl68_300
| ~ spl68_539
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3332,f8939]) ).
fof(f3332,plain,
( e13 = op1(op1(e13,e12),e12)
| ~ spl68_539 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f3330,plain,
( spl68_539
<=> e13 = op1(op1(e13,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_539])]) ).
fof(f11186,plain,
( ~ spl68_20
| ~ spl68_138
| spl68_635 ),
inference(avatar_contradiction_clause,[],[f11185]) ).
fof(f11185,plain,
( $false
| ~ spl68_20
| ~ spl68_138
| spl68_635 ),
inference(subsumption_resolution,[],[f11184,f983]) ).
fof(f11184,plain,
( e12 != op1(e13,e14)
| ~ spl68_138
| spl68_635 ),
inference(forward_demodulation,[],[f3899,f1482]) ).
fof(f3899,plain,
( op1(e13,e14) != op1(e14,e13)
| spl68_635 ),
inference(avatar_component_clause,[],[f3897]) ).
fof(f3897,plain,
( spl68_635
<=> op1(e13,e14) = op1(e14,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_635])]) ).
fof(f11155,plain,
( ~ spl68_6
| ~ spl68_216
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11154]) ).
fof(f11154,plain,
( $false
| ~ spl68_6
| ~ spl68_216
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11153,f535]) ).
fof(f535,plain,
e12 != e14,
inference(cnf_transformation,[],[f9]) ).
fof(f11153,plain,
( e12 = e14
| ~ spl68_6
| ~ spl68_216
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11152,f254]) ).
fof(f11152,plain,
( e12 = op1(unit1,e14)
| ~ spl68_6
| ~ spl68_216
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1816,f10501]) ).
fof(f10501,plain,
( op1(e12,e14) = unit1
| ~ spl68_6
| ~ spl68_681 ),
inference(forward_demodulation,[],[f922,f4215]) ).
fof(f922,plain,
( e10 = op1(e12,e14)
| ~ spl68_6 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl68_6
<=> e10 = op1(e12,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_6])]) ).
fof(f1816,plain,
( e12 = op1(op1(e12,e14),e14)
| ~ spl68_216 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f1814,plain,
( spl68_216
<=> e12 = op1(op1(e12,e14),e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_216])]) ).
fof(f11126,plain,
( spl68_660
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11125]) ).
fof(f11125,plain,
( $false
| spl68_660
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11124,f254]) ).
fof(f11124,plain,
( e14 != op1(unit1,e14)
| spl68_660
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11123,f248]) ).
fof(f11123,plain,
( op1(unit1,e14) != op1(e14,unit1)
| spl68_660
| ~ spl68_681 ),
inference(forward_demodulation,[],[f4065,f4215]) ).
fof(f4065,plain,
( op1(e10,e14) != op1(e14,e10)
| spl68_660 ),
inference(avatar_component_clause,[],[f4063]) ).
fof(f4063,plain,
( spl68_660
<=> op1(e10,e14) = op1(e14,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_660])]) ).
fof(f11113,plain,
( spl68_634
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11112]) ).
fof(f11112,plain,
( $false
| spl68_634
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11111,f251]) ).
fof(f11111,plain,
( e12 != op1(e12,unit1)
| spl68_634
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11110,f247]) ).
fof(f11110,plain,
( e12 != op1(op1(unit1,e12),unit1)
| spl68_634
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3892,f4215]) ).
fof(f3892,plain,
( e12 != op1(op1(e10,e12),e10)
| spl68_634 ),
inference(avatar_component_clause,[],[f3890]) ).
fof(f3890,plain,
( spl68_634
<=> e12 = op1(op1(e10,e12),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_634])]) ).
fof(f11104,plain,
( spl68_558
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11103]) ).
fof(f11103,plain,
( $false
| spl68_558
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11102,f247]) ).
fof(f11102,plain,
( e12 != op1(unit1,e12)
| spl68_558
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11101,f251]) ).
fof(f11101,plain,
( op1(unit1,e12) != op1(e12,unit1)
| spl68_558
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3449,f4215]) ).
fof(f3449,plain,
( op1(e10,e12) != op1(e12,e10)
| spl68_558 ),
inference(avatar_component_clause,[],[f3447]) ).
fof(f3447,plain,
( spl68_558
<=> op1(e10,e12) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_558])]) ).
fof(f11081,plain,
( ~ spl68_410
| spl68_524
| ~ spl68_630
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11080]) ).
fof(f11080,plain,
( $false
| ~ spl68_410
| spl68_524
| ~ spl68_630
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11079,f3247]) ).
fof(f3247,plain,
( e11 != e14
| spl68_524 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f3246,plain,
( spl68_524
<=> e11 = e14 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_524])]) ).
fof(f11079,plain,
( e11 = e14
| ~ spl68_410
| ~ spl68_630
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11078,f255]) ).
fof(f11078,plain,
( e14 = op1(unit1,e11)
| ~ spl68_410
| ~ spl68_630
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3869,f9153]) ).
fof(f3869,plain,
( e14 = op1(op1(e14,e11),e11)
| ~ spl68_630 ),
inference(avatar_component_clause,[],[f3867]) ).
fof(f3867,plain,
( spl68_630
<=> e14 = op1(op1(e14,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_630])]) ).
fof(f11071,plain,
( ~ spl68_392
| spl68_545
| ~ spl68_593
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f11070]) ).
fof(f11070,plain,
( $false
| ~ spl68_392
| spl68_545
| ~ spl68_593
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f11069,f3365]) ).
fof(f3365,plain,
( e11 != e13
| spl68_545 ),
inference(avatar_component_clause,[],[f3364]) ).
fof(f3364,plain,
( spl68_545
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_545])]) ).
fof(f11069,plain,
( e11 = e13
| ~ spl68_392
| ~ spl68_593
| ~ spl68_681 ),
inference(forward_demodulation,[],[f11068,f249]) ).
fof(f11068,plain,
( e11 = op1(unit1,e13)
| ~ spl68_392
| ~ spl68_593
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3634,f10220]) ).
fof(f3634,plain,
( e11 = op1(op1(e11,e13),e13)
| ~ spl68_593 ),
inference(avatar_component_clause,[],[f3632]) ).
fof(f3632,plain,
( spl68_593
<=> e11 = op1(op1(e11,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_593])]) ).
fof(f11045,plain,
( ~ spl68_66
| ~ spl68_251
| ~ spl68_344
| spl68_545 ),
inference(avatar_contradiction_clause,[],[f11044]) ).
fof(f11044,plain,
( $false
| ~ spl68_66
| ~ spl68_251
| ~ spl68_344
| spl68_545 ),
inference(subsumption_resolution,[],[f11043,f3365]) ).
fof(f11043,plain,
( e11 = e13
| ~ spl68_66
| ~ spl68_251
| ~ spl68_344 ),
inference(forward_demodulation,[],[f11042,f1176]) ).
fof(f11042,plain,
( e11 = op1(e14,e12)
| ~ spl68_251
| ~ spl68_344 ),
inference(forward_demodulation,[],[f2378,f1975]) ).
fof(f10995,plain,
( spl68_289
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10994]) ).
fof(f10994,plain,
( $false
| spl68_289
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10993,f255]) ).
fof(f10993,plain,
( e11 != op1(unit1,e11)
| spl68_289
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10992,f252]) ).
fof(f252,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f10992,plain,
( op1(unit1,e11) != op1(e11,unit1)
| spl68_289
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2135,f4215]) ).
fof(f2135,plain,
( op1(e10,e11) != op1(e11,e10)
| spl68_289 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2133,plain,
( spl68_289
<=> op1(e10,e11) = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_289])]) ).
fof(f10974,plain,
( spl68_436
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10973]) ).
fof(f10973,plain,
( $false
| spl68_436
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10972,f249]) ).
fof(f10972,plain,
( e13 != op1(unit1,e13)
| spl68_436
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10971,f256]) ).
fof(f10971,plain,
( op1(unit1,e13) != op1(e13,unit1)
| spl68_436
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2790,f4215]) ).
fof(f2790,plain,
( op1(e10,e13) != op1(e13,e10)
| spl68_436 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f2788,plain,
( spl68_436
<=> op1(e10,e13) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_436])]) ).
fof(f10904,plain,
( spl68_343
| ~ spl68_81
| ~ spl68_638 ),
inference(avatar_split_clause,[],[f10903,f3914,f1240,f2371]) ).
fof(f10903,plain,
( e24 = h2(e14)
| ~ spl68_81
| ~ spl68_638 ),
inference(forward_demodulation,[],[f10900,f1242]) ).
fof(f10892,plain,
( ~ spl68_300
| ~ spl68_636
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10891]) ).
fof(f10891,plain,
( $false
| ~ spl68_300
| ~ spl68_636
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10344,f10762]) ).
fof(f10762,plain,
( op1(e14,e12) = unit1
| ~ spl68_636
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3905,f4215]) ).
fof(f3905,plain,
( e10 = op1(e14,e12)
| ~ spl68_636 ),
inference(avatar_component_clause,[],[f3903]) ).
fof(f3903,plain,
( spl68_636
<=> e10 = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_636])]) ).
fof(f10344,plain,
( op1(e14,e12) != unit1
| ~ spl68_300
| ~ spl68_681 ),
inference(forward_demodulation,[],[f847,f8939]) ).
fof(f847,plain,
op1(e13,e12) != op1(e14,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f10872,plain,
( ~ spl68_299
| ~ spl68_300
| spl68_679
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10871]) ).
fof(f10871,plain,
( $false
| ~ spl68_299
| ~ spl68_300
| spl68_679
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10870,f4206]) ).
fof(f10870,plain,
( e13 = unit1
| ~ spl68_299
| ~ spl68_300
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2182,f8939]) ).
fof(f2182,plain,
( e13 = op1(e13,e12)
| ~ spl68_299 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2180,plain,
( spl68_299
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_299])]) ).
fof(f10839,plain,
( ~ spl68_138
| ~ spl68_486 ),
inference(avatar_contradiction_clause,[],[f10838]) ).
fof(f10838,plain,
( $false
| ~ spl68_138
| ~ spl68_486 ),
inference(subsumption_resolution,[],[f10837,f535]) ).
fof(f10837,plain,
( e12 = e14
| ~ spl68_138
| ~ spl68_486 ),
inference(forward_demodulation,[],[f3037,f1482]) ).
fof(f3037,plain,
( e14 = op1(e14,e13)
| ~ spl68_486 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f3035,plain,
( spl68_486
<=> e14 = op1(e14,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_486])]) ).
fof(f10808,plain,
( ~ spl68_67
| ~ spl68_552
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10807]) ).
fof(f10807,plain,
( $false
| ~ spl68_67
| ~ spl68_552
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10806,f9316]) ).
fof(f9316,plain,
( e13 != e14
| ~ spl68_552
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9315,f256]) ).
fof(f9315,plain,
( e14 != op1(e13,unit1)
| ~ spl68_552
| ~ spl68_681 ),
inference(forward_demodulation,[],[f7214,f4215]) ).
fof(f7214,plain,
( e14 != op1(e13,e10)
| ~ spl68_552 ),
inference(forward_demodulation,[],[f773,f3412]) ).
fof(f773,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f10806,plain,
( e13 = e14
| ~ spl68_67
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10805,f248]) ).
fof(f10805,plain,
( e13 = op1(e14,unit1)
| ~ spl68_67
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1180,f4215]) ).
fof(f1180,plain,
( e13 = op1(e14,e10)
| ~ spl68_67 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1178,plain,
( spl68_67
<=> e13 = op1(e14,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_67])]) ).
fof(f10714,plain,
( ~ spl68_291
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10713]) ).
fof(f10713,plain,
( $false
| ~ spl68_291
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10712,f10459]) ).
fof(f10459,plain,
( e14 = op1(e11,unit1)
| ~ spl68_291
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2144,f4215]) ).
fof(f2144,plain,
( e14 = op1(e11,e10)
| ~ spl68_291 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2142,plain,
( spl68_291
<=> e14 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_291])]) ).
fof(f10712,plain,
( e14 != op1(e11,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10711,f248]) ).
fof(f10711,plain,
( op1(e11,unit1) != op1(e14,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f794,f4215]) ).
fof(f794,plain,
op1(e11,e10) != op1(e14,e10),
inference(cnf_transformation,[],[f7]) ).
fof(f10708,plain,
( spl68_687
| ~ spl68_295
| ~ spl68_609 ),
inference(avatar_split_clause,[],[f10707,f3740,f2161,f4263]) ).
fof(f10707,plain,
( e23 = h3(e11)
| ~ spl68_295
| ~ spl68_609 ),
inference(forward_demodulation,[],[f3741,f2163]) ).
fof(f2163,plain,
( e23 = op2(e22,e22)
| ~ spl68_295 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f10685,plain,
( ~ spl68_101
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f10684,f4213,f1326]) ).
fof(f1326,plain,
( spl68_101
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_101])]) ).
fof(f10684,plain,
( e12 != op1(e11,e12)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10683,f247]) ).
fof(f10683,plain,
( op1(e11,e12) != op1(unit1,e12)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f808,f4215]) ).
fof(f808,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f10658,plain,
( spl68_193
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10657]) ).
fof(f10657,plain,
( $false
| spl68_193
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10656,f248]) ).
fof(f10656,plain,
( e14 != op1(e14,unit1)
| spl68_193
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1715,f4215]) ).
fof(f1715,plain,
( e14 != op1(e14,e10)
| spl68_193 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1714,plain,
( spl68_193
<=> e14 = op1(e14,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_193])]) ).
fof(f10649,plain,
( ~ spl68_588
| ~ spl68_169
| spl68_561
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f10648,f4213,f3463,f1607,f3608]) ).
fof(f3608,plain,
( spl68_588
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_588])]) ).
fof(f3463,plain,
( spl68_561
<=> op2(e22,e23) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_561])]) ).
fof(f10648,plain,
( e20 != op2(e22,e23)
| ~ spl68_169
| spl68_561
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10647,f8935]) ).
fof(f10647,plain,
( op2(e22,e23) != h4(unit1)
| spl68_561
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3465,f4215]) ).
fof(f3465,plain,
( op2(e22,e23) != h4(e10)
| spl68_561 ),
inference(avatar_component_clause,[],[f3463]) ).
fof(f10500,plain,
( ~ spl68_135
| ~ spl68_515
| spl68_516 ),
inference(avatar_contradiction_clause,[],[f10499]) ).
fof(f10499,plain,
( $false
| ~ spl68_135
| ~ spl68_515
| spl68_516 ),
inference(subsumption_resolution,[],[f10498,f3200]) ).
fof(f10498,plain,
( e20 = e22
| ~ spl68_135
| ~ spl68_515 ),
inference(forward_demodulation,[],[f3193,f1468]) ).
fof(f1468,plain,
( e20 = h1(e11)
| ~ spl68_135 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl68_135
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_135])]) ).
fof(f3193,plain,
( e22 = h1(e11)
| ~ spl68_515 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f3192,plain,
( spl68_515
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_515])]) ).
fof(f10446,plain,
( ~ spl68_66
| ~ spl68_300
| ~ spl68_563
| spl68_680
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10445]) ).
fof(f10445,plain,
( $false
| ~ spl68_66
| ~ spl68_300
| ~ spl68_563
| spl68_680
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f10444,f4210]) ).
fof(f4210,plain,
( e14 != unit1
| spl68_680 ),
inference(avatar_component_clause,[],[f4209]) ).
fof(f4209,plain,
( spl68_680
<=> e14 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_680])]) ).
fof(f10444,plain,
( e14 = unit1
| ~ spl68_66
| ~ spl68_300
| ~ spl68_563
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10442,f8939]) ).
fof(f10442,plain,
( e14 = op1(e13,e12)
| ~ spl68_66
| ~ spl68_563 ),
inference(backward_demodulation,[],[f3476,f1176]) ).
fof(f10431,plain,
( ~ spl68_81
| ~ spl68_228
| spl68_468
| ~ spl68_518 ),
inference(avatar_contradiction_clause,[],[f10430]) ).
fof(f10430,plain,
( $false
| ~ spl68_81
| ~ spl68_228
| spl68_468
| ~ spl68_518 ),
inference(subsumption_resolution,[],[f10429,f2945]) ).
fof(f10429,plain,
( e21 = e23
| ~ spl68_81
| ~ spl68_228
| ~ spl68_518 ),
inference(forward_demodulation,[],[f10428,f1868]) ).
fof(f10428,plain,
( e21 = op2(e24,e22)
| ~ spl68_81
| ~ spl68_518 ),
inference(forward_demodulation,[],[f3213,f1242]) ).
fof(f10400,plain,
( ~ spl68_466
| ~ spl68_588 ),
inference(avatar_split_clause,[],[f10399,f3608,f2927]) ).
fof(f10399,plain,
( e20 != op2(e21,e23)
| ~ spl68_588 ),
inference(forward_demodulation,[],[f385,f3610]) ).
fof(f3610,plain,
( e20 = op2(e22,e23)
| ~ spl68_588 ),
inference(avatar_component_clause,[],[f3608]) ).
fof(f385,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f10352,plain,
( ~ spl68_249
| ~ spl68_250 ),
inference(avatar_split_clause,[],[f10350,f1968,f1964]) ).
fof(f1968,plain,
( spl68_250
<=> e23 = op2(e22,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_250])]) ).
fof(f10350,plain,
( e23 != op2(e21,e24)
| ~ spl68_250 ),
inference(backward_demodulation,[],[f310,f1970]) ).
fof(f1970,plain,
( e23 = op2(e22,e24)
| ~ spl68_250 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f310,plain,
op2(e21,e24) != op2(e22,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f10336,plain,
( ~ spl68_28
| ~ spl68_73 ),
inference(avatar_split_clause,[],[f10335,f1204,f1017]) ).
fof(f1017,plain,
( spl68_28
<=> e24 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_28])]) ).
fof(f10335,plain,
( e24 != op2(e23,e20)
| ~ spl68_73 ),
inference(forward_demodulation,[],[f319,f1206]) ).
fof(f319,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f10333,plain,
( ~ spl68_176
| ~ spl68_596 ),
inference(avatar_contradiction_clause,[],[f10332]) ).
fof(f10332,plain,
( $false
| ~ spl68_176
| ~ spl68_596 ),
inference(subsumption_resolution,[],[f10331,f871]) ).
fof(f10331,plain,
( e20 = e21
| ~ spl68_176
| ~ spl68_596 ),
inference(forward_demodulation,[],[f3656,f1641]) ).
fof(f3656,plain,
( e20 = op2(e20,e21)
| ~ spl68_596 ),
inference(avatar_component_clause,[],[f3654]) ).
fof(f3654,plain,
( spl68_596
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_596])]) ).
fof(f10320,plain,
( ~ spl68_345
| ~ spl68_73 ),
inference(avatar_split_clause,[],[f10318,f1204,f2381]) ).
fof(f2381,plain,
( spl68_345
<=> e24 = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_345])]) ).
fof(f10318,plain,
( e24 != op2(e24,e21)
| ~ spl68_73 ),
inference(backward_demodulation,[],[f306,f1206]) ).
fof(f306,plain,
op2(e23,e21) != op2(e24,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f10316,plain,
( ~ spl68_82
| ~ spl68_202 ),
inference(avatar_split_clause,[],[f10313,f1753,f1244]) ).
fof(f1244,plain,
( spl68_82
<=> e24 = op2(e21,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_82])]) ).
fof(f10313,plain,
( e24 != op2(e21,e24)
| ~ spl68_202 ),
inference(backward_demodulation,[],[f371,f1755]) ).
fof(f371,plain,
op2(e20,e24) != op2(e21,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f10302,plain,
( ~ spl68_174
| ~ spl68_176 ),
inference(avatar_split_clause,[],[f10301,f1639,f1631]) ).
fof(f1631,plain,
( spl68_174
<=> e21 = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_174])]) ).
fof(f10301,plain,
( e21 != op2(e24,e21)
| ~ spl68_176 ),
inference(backward_demodulation,[],[f322,f1641]) ).
fof(f322,plain,
op2(e20,e21) != op2(e24,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f10294,plain,
( ~ spl68_218
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f10293]) ).
fof(f10293,plain,
( $false
| ~ spl68_218
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f10292,f874]) ).
fof(f10292,plain,
( e21 = e22
| ~ spl68_218
| ~ spl68_440 ),
inference(forward_demodulation,[],[f10280,f1825]) ).
fof(f1825,plain,
( e21 = op2(e22,e20)
| ~ spl68_218 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1823,plain,
( spl68_218
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_218])]) ).
fof(f10280,plain,
( e22 = op2(e22,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f880,f2810]) ).
fof(f2810,plain,
( e20 = unit2
| ~ spl68_440 ),
inference(avatar_component_clause,[],[f2808]) ).
fof(f2808,plain,
( spl68_440
<=> e20 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_440])]) ).
fof(f880,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( ( e24 = unit2
| e20 = unit2
| e21 = unit2
| e23 = unit2
| e22 = unit2 )
& e22 = op2(unit2,e22)
& e24 = op2(e24,unit2)
& e20 = op2(unit2,e20)
& e23 = op2(unit2,e23)
& e21 = op2(unit2,e21)
& e21 = op2(e21,unit2)
& e22 = op2(e22,unit2)
& e24 = op2(unit2,e24)
& e23 = op2(e23,unit2)
& e20 = op2(e20,unit2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f10291,plain,
( spl68_36
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f10279,f2808,f1051]) ).
fof(f10279,plain,
( e23 = op2(e23,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f878,f2810]) ).
fof(f878,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f10290,plain,
( spl68_594
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f10281,f2808,f3638]) ).
fof(f10281,plain,
( e21 = op2(e21,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f881,f2810]) ).
fof(f881,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f10289,plain,
( spl68_176
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f10282,f2808,f1639]) ).
fof(f10282,plain,
( e21 = op2(e20,e21)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f882,f2810]) ).
fof(f882,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f10272,plain,
( spl68_446
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f10271]) ).
fof(f10271,plain,
( $false
| spl68_446
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f252,f10254]) ).
fof(f10254,plain,
( e11 != op1(e11,unit1)
| spl68_446
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2834,f4215]) ).
fof(f2834,plain,
( e11 != op1(e11,e10)
| spl68_446 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f2833,plain,
( spl68_446
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_446])]) ).
fof(f10258,plain,
( ~ spl68_72
| ~ spl68_188 ),
inference(avatar_split_clause,[],[f6231,f1692,f1200]) ).
fof(f1692,plain,
( spl68_188
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_188])]) ).
fof(f6231,plain,
( e21 != op2(e23,e21)
| ~ spl68_188 ),
inference(forward_demodulation,[],[f361,f1694]) ).
fof(f1694,plain,
( e21 = op2(e23,e23)
| ~ spl68_188 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f361,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f10257,plain,
( ~ spl68_464
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f10256,f4213,f2918]) ).
fof(f2918,plain,
( spl68_464
<=> e14 = op1(e14,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_464])]) ).
fof(f10256,plain,
( e14 != op1(e14,e14)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10255,f248]) ).
fof(f10255,plain,
( op1(e14,e14) != op1(e14,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f852,f4215]) ).
fof(f852,plain,
op1(e14,e10) != op1(e14,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f10245,plain,
( ~ spl68_406
| ~ spl68_407 ),
inference(avatar_split_clause,[],[f8509,f2648,f2644]) ).
fof(f2644,plain,
( spl68_406
<=> e22 = op2(e22,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_406])]) ).
fof(f8509,plain,
( e22 != op2(e22,e24)
| ~ spl68_407 ),
inference(forward_demodulation,[],[f317,f2650]) ).
fof(f317,plain,
op2(e22,e24) != op2(e23,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f10244,plain,
( ~ spl68_7
| ~ spl68_522 ),
inference(avatar_split_clause,[],[f10243,f3236,f924]) ).
fof(f924,plain,
( spl68_7
<=> e13 = op1(e12,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_7])]) ).
fof(f10243,plain,
( e13 != op1(e12,e14)
| ~ spl68_522 ),
inference(forward_demodulation,[],[f834,f3238]) ).
fof(f834,plain,
op1(e12,e11) != op1(e12,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f10241,plain,
( ~ spl68_458
| ~ spl68_86 ),
inference(avatar_split_clause,[],[f10240,f1261,f2889]) ).
fof(f2889,plain,
( spl68_458
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_458])]) ).
fof(f10240,plain,
( e23 != op2(e21,e23)
| ~ spl68_86 ),
inference(forward_demodulation,[],[f386,f1263]) ).
fof(f386,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f10234,plain,
( ~ spl68_332
| ~ spl68_102
| spl68_143
| ~ spl68_514
| ~ spl68_685 ),
inference(avatar_split_clause,[],[f10102,f4234,f3183,f1502,f1330,f2319]) ).
fof(f2319,plain,
( spl68_332
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_332])]) ).
fof(f1502,plain,
( spl68_143
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_143])]) ).
fof(f10102,plain,
( e22 != op2(e21,e21)
| ~ spl68_102
| spl68_143
| ~ spl68_514
| ~ spl68_685 ),
inference(forward_demodulation,[],[f10101,f3184]) ).
fof(f10101,plain,
( op2(e21,e21) != h4(e12)
| ~ spl68_102
| spl68_143
| ~ spl68_685 ),
inference(forward_demodulation,[],[f10100,f1332]) ).
fof(f10100,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| spl68_143
| ~ spl68_685 ),
inference(forward_demodulation,[],[f1504,f4235]) ).
fof(f1504,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl68_143 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f10227,plain,
( ~ spl68_85
| ~ spl68_86 ),
inference(avatar_split_clause,[],[f10224,f1261,f1257]) ).
fof(f10224,plain,
( e23 != op2(e20,e24)
| ~ spl68_86 ),
inference(backward_demodulation,[],[f366,f1263]) ).
fof(f366,plain,
op2(e20,e23) != op2(e20,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f10226,plain,
( ~ spl68_457
| ~ spl68_86 ),
inference(avatar_split_clause,[],[f10225,f1261,f2885]) ).
fof(f2885,plain,
( spl68_457
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_457])]) ).
fof(f10225,plain,
( e23 != op2(e22,e23)
| ~ spl68_86 ),
inference(backward_demodulation,[],[f326,f1263]) ).
fof(f326,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f10223,plain,
( ~ spl68_290
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f10222,f4213,f2138]) ).
fof(f2138,plain,
( spl68_290
<=> e14 = op1(e11,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_290])]) ).
fof(f10222,plain,
( e14 != op1(e11,e14)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f10221,f254]) ).
fof(f10221,plain,
( op1(e11,e14) != op1(unit1,e14)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f801,f4215]) ).
fof(f801,plain,
op1(e10,e14) != op1(e11,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f10173,plain,
( ~ spl68_211
| ~ spl68_443 ),
inference(avatar_contradiction_clause,[],[f10172]) ).
fof(f10172,plain,
( $false
| ~ spl68_211
| ~ spl68_443 ),
inference(subsumption_resolution,[],[f10171,f869]) ).
fof(f10171,plain,
( e22 = e23
| ~ spl68_211
| ~ spl68_443 ),
inference(forward_demodulation,[],[f10158,f883]) ).
fof(f883,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f10158,plain,
( e22 = op2(unit2,e23)
| ~ spl68_211
| ~ spl68_443 ),
inference(backward_demodulation,[],[f1794,f2822]) ).
fof(f2822,plain,
( e24 = unit2
| ~ spl68_443 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f2820,plain,
( spl68_443
<=> e24 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_443])]) ).
fof(f1794,plain,
( e22 = op2(e24,e23)
| ~ spl68_211 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1792,plain,
( spl68_211
<=> e22 = op2(e24,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_211])]) ).
fof(f9953,plain,
( spl68_614
| ~ spl68_197 ),
inference(avatar_split_clause,[],[f9952,f1732,f3764]) ).
fof(f3764,plain,
( spl68_614
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_614])]) ).
fof(f1732,plain,
( spl68_197
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_197])]) ).
fof(f9952,plain,
( e21 = h1(e11)
| ~ spl68_197 ),
inference(forward_demodulation,[],[f524,f1734]) ).
fof(f1734,plain,
( op2(e20,e20) = e21
| ~ spl68_197 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f524,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(op2(e20,op2(e20,e20)),e20) = h1(e12)
& h1(e10) = op2(e20,op2(op2(e20,op2(e20,e20)),e20))
& e20 = h1(e13)
& op2(e20,e20) = h1(e11)
& op2(e20,op2(e20,e20)) = h1(e14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f9914,plain,
( ~ spl68_8
| ~ spl68_491
| spl68_661 ),
inference(avatar_contradiction_clause,[],[f9913]) ).
fof(f9913,plain,
( $false
| ~ spl68_8
| ~ spl68_491
| spl68_661 ),
inference(subsumption_resolution,[],[f9912,f930]) ).
fof(f9912,plain,
( e11 != op1(e12,e14)
| ~ spl68_491
| spl68_661 ),
inference(forward_demodulation,[],[f4072,f3064]) ).
fof(f4072,plain,
( op1(e12,e14) != op1(e14,e12)
| spl68_661 ),
inference(avatar_component_clause,[],[f4070]) ).
fof(f4070,plain,
( spl68_661
<=> op1(e12,e14) = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_661])]) ).
fof(f9874,plain,
( ~ spl68_35
| ~ spl68_232
| spl68_511 ),
inference(avatar_contradiction_clause,[],[f9873]) ).
fof(f9873,plain,
( $false
| ~ spl68_35
| ~ spl68_232
| spl68_511 ),
inference(subsumption_resolution,[],[f9872,f3165]) ).
fof(f9872,plain,
( e20 = e23
| ~ spl68_35
| ~ spl68_232 ),
inference(forward_demodulation,[],[f1049,f1885]) ).
fof(f1049,plain,
( e23 = op2(e23,e22)
| ~ spl68_35 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl68_35
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_35])]) ).
fof(f9837,plain,
( ~ spl68_2
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9836,f4213,f903]) ).
fof(f903,plain,
( spl68_2
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_2])]) ).
fof(f9836,plain,
( e13 != op1(e11,e13)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9835,f249]) ).
fof(f9835,plain,
( op1(e11,e13) != op1(unit1,e13)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f806,f4215]) ).
fof(f806,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f9823,plain,
( ~ spl68_662
| ~ spl68_609
| ~ spl68_620 ),
inference(avatar_split_clause,[],[f9822,f3795,f3740,f4078]) ).
fof(f9822,plain,
( e24 != h3(e11)
| ~ spl68_609
| ~ spl68_620 ),
inference(forward_demodulation,[],[f4574,f3797]) ).
fof(f4574,plain,
( op2(e22,e23) != h3(e11)
| ~ spl68_609 ),
inference(backward_demodulation,[],[f369,f3741]) ).
fof(f369,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f9806,plain,
( ~ spl68_348
| ~ spl68_95 ),
inference(avatar_split_clause,[],[f9803,f1300,f2394]) ).
fof(f1300,plain,
( spl68_95
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_95])]) ).
fof(f9803,plain,
( e22 != op2(e22,e20)
| ~ spl68_95 ),
inference(backward_demodulation,[],[f312,f1302]) ).
fof(f1302,plain,
( e22 = op2(e22,e21)
| ~ spl68_95 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f312,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f9791,plain,
( ~ spl68_359
| ~ spl68_403 ),
inference(avatar_split_clause,[],[f9790,f2630,f2443]) ).
fof(f2443,plain,
( spl68_359
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_359])]) ).
fof(f9790,plain,
( e22 != op2(e21,e22)
| ~ spl68_403 ),
inference(forward_demodulation,[],[f335,f2632]) ).
fof(f335,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f9781,plain,
( ~ spl68_252
| ~ spl68_446
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9780,f4213,f2833,f1977]) ).
fof(f1977,plain,
( spl68_252
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_252])]) ).
fof(f9780,plain,
( e11 != op1(e11,e12)
| ~ spl68_446
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9779,f8945]) ).
fof(f8945,plain,
( e11 = op1(e11,unit1)
| ~ spl68_446
| ~ spl68_681 ),
inference(backward_demodulation,[],[f2835,f4215]) ).
fof(f2835,plain,
( e11 = op1(e11,e10)
| ~ spl68_446 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f9779,plain,
( op1(e11,e12) != op1(e11,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f820,f4215]) ).
fof(f820,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f9733,plain,
( ~ spl68_410
| ~ spl68_504
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9732]) ).
fof(f9732,plain,
( $false
| ~ spl68_410
| ~ spl68_504
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9731,f9446]) ).
fof(f9446,plain,
( op1(e12,e11) != unit1
| ~ spl68_410
| ~ spl68_681 ),
inference(forward_demodulation,[],[f827,f9153]) ).
fof(f9731,plain,
( op1(e12,e11) = unit1
| ~ spl68_504
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3124,f4215]) ).
fof(f9707,plain,
( ~ spl68_392
| ~ spl68_471
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9706]) ).
fof(f9706,plain,
( $false
| ~ spl68_392
| ~ spl68_471
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9705,f9086]) ).
fof(f9086,plain,
( op1(e11,e13) = unit1
| ~ spl68_392
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2583,f4215]) ).
fof(f9705,plain,
( op1(e11,e13) != unit1
| ~ spl68_471
| ~ spl68_681 ),
inference(forward_demodulation,[],[f809,f9555]) ).
fof(f9555,plain,
( op1(e11,e14) = unit1
| ~ spl68_471
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2959,f4215]) ).
fof(f2959,plain,
( e10 = op1(e11,e14)
| ~ spl68_471 ),
inference(avatar_component_clause,[],[f2957]) ).
fof(f2957,plain,
( spl68_471
<=> e10 = op1(e11,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_471])]) ).
fof(f809,plain,
op1(e11,e13) != op1(e11,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f9679,plain,
( ~ spl68_8
| ~ spl68_213 ),
inference(avatar_contradiction_clause,[],[f9678]) ).
fof(f9678,plain,
( $false
| ~ spl68_8
| ~ spl68_213 ),
inference(subsumption_resolution,[],[f9677,f930]) ).
fof(f9677,plain,
( e11 != op1(e12,e14)
| ~ spl68_213 ),
inference(forward_demodulation,[],[f830,f1803]) ).
fof(f1803,plain,
( e11 = op1(e14,e14)
| ~ spl68_213 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1801,plain,
( spl68_213
<=> e11 = op1(e14,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_213])]) ).
fof(f830,plain,
op1(e12,e14) != op1(e14,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f9675,plain,
( spl68_73
| ~ spl68_442
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f9674]) ).
fof(f9674,plain,
( $false
| spl68_73
| ~ spl68_442
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f9673,f9309]) ).
fof(f9309,plain,
( e24 = op2(e23,unit2)
| ~ spl68_442
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(forward_demodulation,[],[f5284,f2818]) ).
fof(f2818,plain,
( e21 = unit2
| ~ spl68_442 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2816,plain,
( spl68_442
<=> e21 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_442])]) ).
fof(f5284,plain,
( e24 = op2(e23,e21)
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(backward_demodulation,[],[f4708,f4235]) ).
fof(f4708,plain,
( e24 = op2(e23,h4(e11))
| ~ spl68_473
| ~ spl68_476 ),
inference(backward_demodulation,[],[f4506,f2992]) ).
fof(f2992,plain,
( op2(e23,e23) = h4(e11)
| ~ spl68_476 ),
inference(avatar_component_clause,[],[f2991]) ).
fof(f2991,plain,
( spl68_476
<=> op2(e23,e23) = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_476])]) ).
fof(f4506,plain,
( e24 = op2(e23,op2(e23,e23))
| ~ spl68_473 ),
inference(backward_demodulation,[],[f167,f2980]) ).
fof(f167,plain,
op2(e23,op2(e23,e23)) = h4(e14),
inference(cnf_transformation,[],[f19]) ).
fof(f9673,plain,
( e24 != op2(e23,unit2)
| spl68_73
| ~ spl68_442 ),
inference(forward_demodulation,[],[f1205,f2818]) ).
fof(f1205,plain,
( e24 != op2(e23,e21)
| spl68_73 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f9664,plain,
( spl68_12
| ~ spl68_410
| ~ spl68_471
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9663]) ).
fof(f9663,plain,
( $false
| spl68_12
| ~ spl68_410
| ~ spl68_471
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9662,f9555]) ).
fof(f9662,plain,
( op1(e11,e14) != unit1
| spl68_12
| ~ spl68_410
| ~ spl68_681 ),
inference(forward_demodulation,[],[f947,f9153]) ).
fof(f947,plain,
( op1(e11,e14) != op1(e14,e11)
| spl68_12 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f945,plain,
( spl68_12
<=> op1(e11,e14) = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_12])]) ).
fof(f9620,plain,
( spl68_543
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9619]) ).
fof(f9619,plain,
( $false
| spl68_543
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9618,f256]) ).
fof(f9618,plain,
( e13 != op1(e13,unit1)
| spl68_543
| ~ spl68_681 ),
inference(forward_demodulation,[],[f3357,f4215]) ).
fof(f3357,plain,
( e13 != op1(e13,e10)
| spl68_543 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f3356,plain,
( spl68_543
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_543])]) ).
fof(f9585,plain,
( ~ spl68_192
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9584,f4213,f1709]) ).
fof(f1709,plain,
( spl68_192
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_192])]) ).
fof(f9584,plain,
( e11 != op1(e12,e11)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9583,f255]) ).
fof(f9583,plain,
( op1(e12,e11) != op1(unit1,e11)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f853,f4215]) ).
fof(f853,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f9384,plain,
( ~ spl68_9
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9383,f4213,f932]) ).
fof(f932,plain,
( spl68_9
<=> e12 = op1(e12,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_9])]) ).
fof(f9383,plain,
( e12 != op1(e12,e14)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f9382,f251]) ).
fof(f9382,plain,
( op1(e12,e14) != op1(e12,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f810,f4215]) ).
fof(f810,plain,
op1(e12,e10) != op1(e12,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f9248,plain,
( spl68_38
| ~ spl68_73
| ~ spl68_442 ),
inference(avatar_contradiction_clause,[],[f9247]) ).
fof(f9247,plain,
( $false
| spl68_38
| ~ spl68_73
| ~ spl68_442 ),
inference(subsumption_resolution,[],[f9246,f6959]) ).
fof(f6959,plain,
( e23 != e24
| spl68_38
| ~ spl68_73 ),
inference(forward_demodulation,[],[f1060,f1206]) ).
fof(f1060,plain,
( e23 != op2(e23,e21)
| spl68_38 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1059,plain,
( spl68_38
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_38])]) ).
fof(f9246,plain,
( e23 = e24
| ~ spl68_73
| ~ spl68_442 ),
inference(forward_demodulation,[],[f878,f9011]) ).
fof(f9011,plain,
( e24 = op2(e23,unit2)
| ~ spl68_73
| ~ spl68_442 ),
inference(backward_demodulation,[],[f1206,f2818]) ).
fof(f9222,plain,
( ~ spl68_410
| ~ spl68_469
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9221]) ).
fof(f9221,plain,
( $false
| ~ spl68_410
| ~ spl68_469
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9220,f9153]) ).
fof(f9220,plain,
( op1(e14,e11) != unit1
| ~ spl68_469
| ~ spl68_681 ),
inference(forward_demodulation,[],[f779,f8947]) ).
fof(f8947,plain,
( op1(e14,e14) = unit1
| ~ spl68_469
| ~ spl68_681 ),
inference(backward_demodulation,[],[f2950,f4215]) ).
fof(f779,plain,
op1(e14,e11) != op1(e14,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f9196,plain,
( spl68_462
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9195]) ).
fof(f9195,plain,
( $false
| spl68_462
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9194,f254]) ).
fof(f9194,plain,
( e14 != op1(unit1,e14)
| spl68_462
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2911,f4215]) ).
fof(f2911,plain,
( e14 != op1(e10,e14)
| spl68_462 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f2910,plain,
( spl68_462
<=> e14 = op1(e10,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_462])]) ).
fof(f9180,plain,
( spl68_682
| ~ spl68_213
| ~ spl68_469
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f9179,f4213,f2948,f1801,f4217]) ).
fof(f9179,plain,
( e11 = unit1
| ~ spl68_213
| ~ spl68_469
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1803,f8947]) ).
fof(f9147,plain,
( spl68_432
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f9146]) ).
fof(f9146,plain,
( $false
| spl68_432
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f9145,f247]) ).
fof(f9145,plain,
( e12 != op1(unit1,e12)
| spl68_432
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2769,f4215]) ).
fof(f2769,plain,
( e12 != op1(e10,e12)
| spl68_432 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f2768,plain,
( spl68_432
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_432])]) ).
fof(f9068,plain,
( ~ spl68_5
| ~ spl68_251
| ~ spl68_543
| ~ spl68_552 ),
inference(avatar_contradiction_clause,[],[f9067]) ).
fof(f9067,plain,
( $false
| ~ spl68_5
| ~ spl68_251
| ~ spl68_543
| ~ spl68_552 ),
inference(subsumption_resolution,[],[f9066,f7598]) ).
fof(f7598,plain,
( e13 != e14
| ~ spl68_543
| ~ spl68_552 ),
inference(forward_demodulation,[],[f7214,f3358]) ).
fof(f3358,plain,
( e13 = op1(e13,e10)
| ~ spl68_543 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f9066,plain,
( e13 = e14
| ~ spl68_5
| ~ spl68_251 ),
inference(forward_demodulation,[],[f917,f1975]) ).
fof(f8980,plain,
( spl68_438
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f8979]) ).
fof(f8979,plain,
( $false
| spl68_438
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f8978,f8926]) ).
fof(f8978,plain,
( unit1 != op1(unit1,unit1)
| spl68_438
| ~ spl68_681 ),
inference(forward_demodulation,[],[f2798,f4215]) ).
fof(f2798,plain,
( e10 != op1(e10,e10)
| spl68_438 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f2797,plain,
( spl68_438
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_438])]) ).
fof(f8966,plain,
( spl68_353
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f8965]) ).
fof(f8965,plain,
( $false
| spl68_353
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f8940,f251]) ).
fof(f8940,plain,
( e12 != op1(e12,unit1)
| spl68_353
| ~ spl68_681 ),
inference(backward_demodulation,[],[f2418,f4215]) ).
fof(f2418,plain,
( e12 != op1(e12,e10)
| spl68_353 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2417,plain,
( spl68_353
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_353])]) ).
fof(f8862,plain,
( ~ spl68_552
| ~ spl68_4
| spl68_688 ),
inference(avatar_split_clause,[],[f8856,f4269,f911,f3410]) ).
fof(f4269,plain,
( spl68_688
<=> e14 = op1(op1(e11,e14),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_688])]) ).
fof(f8856,plain,
( e14 != op1(e13,e11)
| ~ spl68_4
| spl68_688 ),
inference(backward_demodulation,[],[f4271,f913]) ).
fof(f4271,plain,
( e14 != op1(op1(e11,e14),e11)
| spl68_688 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f8841,plain,
( ~ spl68_139
| ~ spl68_138 ),
inference(avatar_split_clause,[],[f6626,f1480,f1484]) ).
fof(f1484,plain,
( spl68_139
<=> e12 = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_139])]) ).
fof(f6626,plain,
( e12 != op1(e14,e11)
| ~ spl68_138 ),
inference(forward_demodulation,[],[f851,f1482]) ).
fof(f851,plain,
op1(e14,e11) != op1(e14,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f8819,plain,
( ~ spl68_537
| ~ spl68_588 ),
inference(avatar_split_clause,[],[f8815,f3608,f3315]) ).
fof(f8815,plain,
( e20 != op2(e22,e24)
| ~ spl68_588 ),
inference(backward_demodulation,[],[f338,f3610]) ).
fof(f8818,plain,
( spl68_633
| ~ spl68_256
| ~ spl68_588 ),
inference(avatar_split_clause,[],[f8816,f3608,f1995,f3885]) ).
fof(f3885,plain,
( spl68_633
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_633])]) ).
fof(f1995,plain,
( spl68_256
<=> e22 = op2(op2(e22,e23),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_256])]) ).
fof(f8816,plain,
( e22 = op2(e20,e23)
| ~ spl68_256
| ~ spl68_588 ),
inference(backward_demodulation,[],[f1997,f3610]) ).
fof(f1997,plain,
( e22 = op2(op2(e22,e23),e23)
| ~ spl68_256 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f8806,plain,
( ~ spl68_460
| ~ spl68_594 ),
inference(avatar_contradiction_clause,[],[f8805]) ).
fof(f8805,plain,
( $false
| ~ spl68_460
| ~ spl68_594 ),
inference(subsumption_resolution,[],[f8804,f871]) ).
fof(f8804,plain,
( e20 = e21
| ~ spl68_460
| ~ spl68_594 ),
inference(forward_demodulation,[],[f2901,f3640]) ).
fof(f2901,plain,
( e20 = op2(e21,e20)
| ~ spl68_460 ),
inference(avatar_component_clause,[],[f2899]) ).
fof(f2899,plain,
( spl68_460
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_460])]) ).
fof(f8799,plain,
( ~ spl68_685
| spl68_144
| ~ spl68_169
| ~ spl68_446
| ~ spl68_594
| ~ spl68_685 ),
inference(avatar_split_clause,[],[f8798,f4234,f3638,f2833,f1607,f1506,f4234]) ).
fof(f1506,plain,
( spl68_144
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_144])]) ).
fof(f8798,plain,
( e21 != h4(e11)
| spl68_144
| ~ spl68_169
| ~ spl68_446
| ~ spl68_594
| ~ spl68_685 ),
inference(forward_demodulation,[],[f7862,f2835]) ).
fof(f7862,plain,
( e21 != h4(op1(e11,e10))
| spl68_144
| ~ spl68_169
| ~ spl68_594
| ~ spl68_685 ),
inference(forward_demodulation,[],[f7861,f3640]) ).
fof(f7861,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| spl68_144
| ~ spl68_169
| ~ spl68_685 ),
inference(backward_demodulation,[],[f7860,f4235]) ).
fof(f7860,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl68_144
| ~ spl68_169 ),
inference(forward_demodulation,[],[f1508,f1608]) ).
fof(f1508,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl68_144 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f8792,plain,
( ~ spl68_337
| ~ spl68_609
| ~ spl68_662 ),
inference(avatar_split_clause,[],[f8791,f4078,f3740,f2341]) ).
fof(f8791,plain,
( e24 != op2(e22,e24)
| ~ spl68_609
| ~ spl68_662 ),
inference(forward_demodulation,[],[f4571,f4079]) ).
fof(f4079,plain,
( e24 = h3(e11)
| ~ spl68_662 ),
inference(avatar_component_clause,[],[f4078]) ).
fof(f4571,plain,
( op2(e22,e24) != h3(e11)
| ~ spl68_609 ),
inference(backward_demodulation,[],[f303,f3741]) ).
fof(f303,plain,
op2(e22,e22) != op2(e22,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f8763,plain,
( ~ spl68_594
| ~ spl68_614 ),
inference(avatar_contradiction_clause,[],[f8762]) ).
fof(f8762,plain,
( $false
| ~ spl68_594
| ~ spl68_614 ),
inference(subsumption_resolution,[],[f7088,f3766]) ).
fof(f3766,plain,
( e21 = h1(e11)
| ~ spl68_614 ),
inference(avatar_component_clause,[],[f3764]) ).
fof(f7088,plain,
( e21 != h1(e11)
| ~ spl68_594 ),
inference(forward_demodulation,[],[f4159,f3640]) ).
fof(f4159,plain,
op2(e21,e20) != h1(e11),
inference(forward_demodulation,[],[f299,f524]) ).
fof(f299,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f8]) ).
fof(f8663,plain,
( ~ spl68_169
| ~ spl68_456
| spl68_516 ),
inference(avatar_contradiction_clause,[],[f8662]) ).
fof(f8662,plain,
( $false
| ~ spl68_169
| ~ spl68_456
| spl68_516 ),
inference(subsumption_resolution,[],[f8661,f3200]) ).
fof(f8661,plain,
( e20 = e22
| ~ spl68_169
| ~ spl68_456 ),
inference(forward_demodulation,[],[f2881,f1608]) ).
fof(f2881,plain,
( e22 = h4(e10)
| ~ spl68_456 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2880,plain,
( spl68_456
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_456])]) ).
fof(f8628,plain,
( spl68_202
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f7698,f2808,f1753]) ).
fof(f7698,plain,
( e24 = op2(e20,e24)
| ~ spl68_440 ),
inference(forward_demodulation,[],[f879,f2810]) ).
fof(f879,plain,
e24 = op2(unit2,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f8624,plain,
( ~ spl68_426
| ~ spl68_472
| ~ spl68_543
| ~ spl68_552 ),
inference(avatar_contradiction_clause,[],[f8623]) ).
fof(f8623,plain,
( $false
| ~ spl68_426
| ~ spl68_472
| ~ spl68_543
| ~ spl68_552 ),
inference(subsumption_resolution,[],[f8622,f7598]) ).
fof(f8622,plain,
( e13 = e14
| ~ spl68_426
| ~ spl68_472 ),
inference(forward_demodulation,[],[f2744,f2965]) ).
fof(f2965,plain,
( e14 = op1(e10,e13)
| ~ spl68_472 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f2963,plain,
( spl68_472
<=> e14 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_472])]) ).
fof(f2744,plain,
( e13 = op1(e10,e13)
| ~ spl68_426 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f8461,plain,
( ~ spl68_462
| ~ spl68_10 ),
inference(avatar_split_clause,[],[f8460,f936,f2910]) ).
fof(f936,plain,
( spl68_10
<=> e14 = op1(e12,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_10])]) ).
fof(f8460,plain,
( e14 != op1(e10,e14)
| ~ spl68_10 ),
inference(forward_demodulation,[],[f849,f938]) ).
fof(f938,plain,
( e14 = op1(e12,e14)
| ~ spl68_10 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f849,plain,
op1(e10,e14) != op1(e12,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f8389,plain,
( spl68_412
| ~ spl68_682 ),
inference(avatar_contradiction_clause,[],[f8388]) ).
fof(f8388,plain,
( $false
| spl68_412
| ~ spl68_682 ),
inference(subsumption_resolution,[],[f8371,f248]) ).
fof(f8371,plain,
( e14 != op1(e14,unit1)
| spl68_412
| ~ spl68_682 ),
inference(backward_demodulation,[],[f2675,f4219]) ).
fof(f4219,plain,
( e11 = unit1
| ~ spl68_682 ),
inference(avatar_component_clause,[],[f4217]) ).
fof(f2675,plain,
( e14 != op1(e14,e11)
| spl68_412 ),
inference(avatar_component_clause,[],[f2674]) ).
fof(f2674,plain,
( spl68_412
<=> e14 = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_412])]) ).
fof(f8324,plain,
( ~ spl68_93
| ~ spl68_250 ),
inference(avatar_split_clause,[],[f8290,f1968,f1292]) ).
fof(f8290,plain,
( e23 != op2(e22,e21)
| ~ spl68_250 ),
inference(forward_demodulation,[],[f302,f1970]) ).
fof(f302,plain,
op2(e22,e21) != op2(e22,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f8323,plain,
( ~ spl68_338
| ~ spl68_73 ),
inference(avatar_split_clause,[],[f8322,f1204,f2345]) ).
fof(f8322,plain,
( e24 != op2(e23,e24)
| ~ spl68_73 ),
inference(forward_demodulation,[],[f308,f1206]) ).
fof(f308,plain,
op2(e23,e21) != op2(e23,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f8280,plain,
( ~ spl68_346
| ~ spl68_440
| spl68_516 ),
inference(avatar_contradiction_clause,[],[f8279]) ).
fof(f8279,plain,
( $false
| ~ spl68_346
| ~ spl68_440
| spl68_516 ),
inference(subsumption_resolution,[],[f8278,f3200]) ).
fof(f8278,plain,
( e20 = e22
| ~ spl68_346
| ~ spl68_440 ),
inference(forward_demodulation,[],[f7702,f2388]) ).
fof(f2388,plain,
( e20 = op2(e22,e20)
| ~ spl68_346 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2386,plain,
( spl68_346
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_346])]) ).
fof(f7702,plain,
( e22 = op2(e22,e20)
| ~ spl68_440 ),
inference(forward_demodulation,[],[f880,f2810]) ).
fof(f8273,plain,
( ~ spl68_352
| ~ spl68_353 ),
inference(avatar_contradiction_clause,[],[f8272]) ).
fof(f8272,plain,
( $false
| ~ spl68_352
| ~ spl68_353 ),
inference(subsumption_resolution,[],[f7594,f2415]) ).
fof(f2415,plain,
( e12 = op1(e12,e11)
| ~ spl68_352 ),
inference(avatar_component_clause,[],[f2413]) ).
fof(f2413,plain,
( spl68_352
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_352])]) ).
fof(f7594,plain,
( e12 != op1(e12,e11)
| ~ spl68_353 ),
inference(forward_demodulation,[],[f826,f2419]) ).
fof(f2419,plain,
( e12 = op1(e12,e10)
| ~ spl68_353 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f826,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f8210,plain,
( ~ spl68_332
| ~ spl68_333
| spl68_516 ),
inference(avatar_contradiction_clause,[],[f8209]) ).
fof(f8209,plain,
( $false
| ~ spl68_332
| ~ spl68_333
| spl68_516 ),
inference(subsumption_resolution,[],[f8208,f3200]) ).
fof(f8208,plain,
( e20 = e22
| ~ spl68_332
| ~ spl68_333 ),
inference(forward_demodulation,[],[f2321,f2325]) ).
fof(f2325,plain,
( e20 = op2(e21,e21)
| ~ spl68_333 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f2323,plain,
( spl68_333
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_333])]) ).
fof(f2321,plain,
( e22 = op2(e21,e21)
| ~ spl68_332 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f8146,plain,
( ~ spl68_21
| spl68_178
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f8145,f4213,f1649,f985]) ).
fof(f985,plain,
( spl68_21
<=> e11 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_21])]) ).
fof(f1649,plain,
( spl68_178
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_178])]) ).
fof(f8145,plain,
( e11 != e12
| spl68_178
| ~ spl68_681 ),
inference(forward_demodulation,[],[f8123,f255]) ).
fof(f8123,plain,
( e12 != op1(unit1,e11)
| spl68_178
| ~ spl68_681 ),
inference(backward_demodulation,[],[f1650,f4215]) ).
fof(f1650,plain,
( e12 != op1(e10,e11)
| spl68_178 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f8091,plain,
( ~ spl68_94
| ~ spl68_176 ),
inference(avatar_split_clause,[],[f8090,f1639,f1296]) ).
fof(f1296,plain,
( spl68_94
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_94])]) ).
fof(f8090,plain,
( e21 != op2(e22,e21)
| ~ spl68_176 ),
inference(forward_demodulation,[],[f359,f1641]) ).
fof(f359,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f8062,plain,
( ~ spl68_36
| ~ spl68_86
| spl68_494 ),
inference(avatar_contradiction_clause,[],[f8061]) ).
fof(f8061,plain,
( $false
| ~ spl68_36
| ~ spl68_86
| spl68_494 ),
inference(subsumption_resolution,[],[f8060,f1263]) ).
fof(f8060,plain,
( e23 != op2(e20,e23)
| ~ spl68_36
| spl68_494 ),
inference(forward_demodulation,[],[f3079,f1053]) ).
fof(f3079,plain,
( op2(e20,e23) != op2(e23,e20)
| spl68_494 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f3077,plain,
( spl68_494
<=> op2(e20,e23) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_494])]) ).
fof(f8031,plain,
( ~ spl68_459
| ~ spl68_36 ),
inference(avatar_split_clause,[],[f8030,f1051,f2894]) ).
fof(f2894,plain,
( spl68_459
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_459])]) ).
fof(f8030,plain,
( e23 != h1(e11)
| ~ spl68_36 ),
inference(forward_demodulation,[],[f3187,f1053]) ).
fof(f3187,plain,
op2(e23,e20) != h1(e11),
inference(backward_demodulation,[],[f397,f524]) ).
fof(f397,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f8]) ).
fof(f8029,plain,
( ~ spl68_97
| ~ spl68_73 ),
inference(avatar_split_clause,[],[f7209,f1204,f1308]) ).
fof(f1308,plain,
( spl68_97
<=> e24 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_97])]) ).
fof(f7209,plain,
( e24 != op2(e22,e21)
| ~ spl68_73 ),
inference(forward_demodulation,[],[f331,f1206]) ).
fof(f331,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f7990,plain,
( ~ spl68_466
| ~ spl68_502 ),
inference(avatar_contradiction_clause,[],[f7989]) ).
fof(f7989,plain,
( $false
| ~ spl68_466
| ~ spl68_502 ),
inference(subsumption_resolution,[],[f7284,f2929]) ).
fof(f7284,plain,
( e20 != op2(e21,e23)
| ~ spl68_502 ),
inference(backward_demodulation,[],[f3369,f3114]) ).
fof(f3114,plain,
( e20 = h2(e11)
| ~ spl68_502 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f3113,plain,
( spl68_502
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_502])]) ).
fof(f3369,plain,
op2(e21,e23) != h2(e11),
inference(backward_demodulation,[],[f342,f262]) ).
fof(f342,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f7918,plain,
( ~ spl68_407
| spl68_206
| ~ spl68_211 ),
inference(avatar_split_clause,[],[f5483,f1792,f1771,f2648]) ).
fof(f1771,plain,
( spl68_206
<=> op2(e23,e24) = op2(e24,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_206])]) ).
fof(f5483,plain,
( e22 != op2(e23,e24)
| spl68_206
| ~ spl68_211 ),
inference(forward_demodulation,[],[f1773,f1794]) ).
fof(f1773,plain,
( op2(e23,e24) != op2(e24,e23)
| spl68_206 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f7832,plain,
( ~ spl68_18
| ~ spl68_552 ),
inference(avatar_contradiction_clause,[],[f7831]) ).
fof(f7831,plain,
( $false
| ~ spl68_18
| ~ spl68_552 ),
inference(trivial_inequality_removal,[],[f7830]) ).
fof(f7830,plain,
( op1(e12,e10) != op1(e12,e10)
| ~ spl68_18
| ~ spl68_552 ),
inference(forward_demodulation,[],[f793,f7365]) ).
fof(f7365,plain,
( e12 = e14
| ~ spl68_18
| ~ spl68_552 ),
inference(forward_demodulation,[],[f975,f3412]) ).
fof(f975,plain,
( e12 = op1(e13,e11)
| ~ spl68_18 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f973,plain,
( spl68_18
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_18])]) ).
fof(f793,plain,
op1(e12,e10) != op1(e14,e10),
inference(cnf_transformation,[],[f7]) ).
fof(f7705,plain,
( ~ spl68_347
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f7704]) ).
fof(f7704,plain,
( $false
| ~ spl68_347
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f7703,f869]) ).
fof(f7703,plain,
( e22 = e23
| ~ spl68_347
| ~ spl68_440 ),
inference(forward_demodulation,[],[f7702,f2392]) ).
fof(f2392,plain,
( e23 = op2(e22,e20)
| ~ spl68_347 ),
inference(avatar_component_clause,[],[f2390]) ).
fof(f2390,plain,
( spl68_347
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_347])]) ).
fof(f7641,plain,
( ~ spl68_180
| ~ spl68_438 ),
inference(avatar_split_clause,[],[f7636,f2797,f1657]) ).
fof(f1657,plain,
( spl68_180
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_180])]) ).
fof(f7636,plain,
( e10 != op1(e10,e11)
| ~ spl68_438 ),
inference(backward_demodulation,[],[f841,f2799]) ).
fof(f2799,plain,
( e10 = op1(e10,e10)
| ~ spl68_438 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f841,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f7512,plain,
( ~ spl68_178
| ~ spl68_432 ),
inference(avatar_split_clause,[],[f7510,f2768,f1649]) ).
fof(f7510,plain,
( e12 != op1(e10,e11)
| ~ spl68_432 ),
inference(backward_demodulation,[],[f859,f2770]) ).
fof(f2770,plain,
( e12 = op1(e10,e12)
| ~ spl68_432 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f859,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f7460,plain,
( ~ spl68_409
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f7459]) ).
fof(f7459,plain,
( $false
| ~ spl68_409
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f7458,f869]) ).
fof(f7458,plain,
( e22 = e23
| ~ spl68_409
| ~ spl68_440 ),
inference(forward_demodulation,[],[f7457,f2663]) ).
fof(f2663,plain,
( e22 = op2(e23,e20)
| ~ spl68_409 ),
inference(avatar_component_clause,[],[f2661]) ).
fof(f2661,plain,
( spl68_409
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_409])]) ).
fof(f7457,plain,
( e23 = op2(e23,e20)
| ~ spl68_440 ),
inference(forward_demodulation,[],[f878,f2810]) ).
fof(f7343,plain,
( ~ spl68_188
| ~ spl68_355 ),
inference(avatar_contradiction_clause,[],[f7342]) ).
fof(f7342,plain,
( $false
| ~ spl68_188
| ~ spl68_355 ),
inference(subsumption_resolution,[],[f7341,f867]) ).
fof(f867,plain,
e21 != e24,
inference(cnf_transformation,[],[f10]) ).
fof(f7341,plain,
( e21 = e24
| ~ spl68_188
| ~ spl68_355 ),
inference(forward_demodulation,[],[f1694,f2428]) ).
fof(f2428,plain,
( e24 = op2(e23,e23)
| ~ spl68_355 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f2426,plain,
( spl68_355
<=> e24 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_355])]) ).
fof(f7289,plain,
( spl68_333
| ~ spl68_502 ),
inference(avatar_split_clause,[],[f7281,f3113,f2323]) ).
fof(f7281,plain,
( e20 = op2(e21,e21)
| ~ spl68_502 ),
inference(backward_demodulation,[],[f262,f3114]) ).
fof(f7253,plain,
( ~ spl68_19
| ~ spl68_300
| spl68_678
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f7252]) ).
fof(f7252,plain,
( $false
| ~ spl68_19
| ~ spl68_300
| spl68_678
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f7251,f4202]) ).
fof(f7251,plain,
( e12 = unit1
| ~ spl68_19
| ~ spl68_300
| ~ spl68_681 ),
inference(forward_demodulation,[],[f979,f6569]) ).
fof(f6569,plain,
( op1(e13,e12) = unit1
| ~ spl68_300
| ~ spl68_681 ),
inference(backward_demodulation,[],[f2186,f4215]) ).
fof(f979,plain,
( e12 = op1(e13,e12)
| ~ spl68_19 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl68_19
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_19])]) ).
fof(f7219,plain,
( ~ spl68_586
| ~ spl68_681 ),
inference(avatar_split_clause,[],[f7218,f4213,f3598]) ).
fof(f3598,plain,
( spl68_586
<=> e14 = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_586])]) ).
fof(f7218,plain,
( e14 != op1(e14,e12)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f7217,f248]) ).
fof(f7217,plain,
( op1(e14,e12) != op1(e14,unit1)
| ~ spl68_681 ),
inference(forward_demodulation,[],[f788,f4215]) ).
fof(f788,plain,
op1(e14,e10) != op1(e14,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f7208,plain,
( ~ spl68_411
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f7207]) ).
fof(f7207,plain,
( $false
| ~ spl68_411
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f7206,f255]) ).
fof(f7206,plain,
( e11 != op1(unit1,e11)
| ~ spl68_411
| ~ spl68_681 ),
inference(forward_demodulation,[],[f7205,f4215]) ).
fof(f7205,plain,
( e11 != op1(e10,e11)
| ~ spl68_411 ),
inference(forward_demodulation,[],[f837,f2672]) ).
fof(f2672,plain,
( e11 = op1(e14,e11)
| ~ spl68_411 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f2670,plain,
( spl68_411
<=> e11 = op1(e14,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_411])]) ).
fof(f837,plain,
op1(e10,e11) != op1(e14,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f7181,plain,
( spl68_18
| ~ spl68_34
| ~ spl68_522
| ~ spl68_552 ),
inference(avatar_contradiction_clause,[],[f7180]) ).
fof(f7180,plain,
( $false
| spl68_18
| ~ spl68_34
| ~ spl68_522
| ~ spl68_552 ),
inference(subsumption_resolution,[],[f7179,f4998]) ).
fof(f4998,plain,
( e12 != e14
| spl68_18
| ~ spl68_552 ),
inference(forward_demodulation,[],[f974,f3412]) ).
fof(f974,plain,
( e12 != op1(e13,e11)
| spl68_18 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f7179,plain,
( e12 = e14
| ~ spl68_34
| ~ spl68_522
| ~ spl68_552 ),
inference(forward_demodulation,[],[f7171,f3412]) ).
fof(f7171,plain,
( e12 = op1(e13,e11)
| ~ spl68_34
| ~ spl68_522 ),
inference(backward_demodulation,[],[f1044,f3238]) ).
fof(f1044,plain,
( e12 = op1(op1(e12,e11),e11)
| ~ spl68_34 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1042,plain,
( spl68_34
<=> e12 = op1(op1(e12,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_34])]) ).
fof(f7143,plain,
( ~ spl68_232
| ~ spl68_444
| spl68_511 ),
inference(avatar_contradiction_clause,[],[f7142]) ).
fof(f7142,plain,
( $false
| ~ spl68_232
| ~ spl68_444
| spl68_511 ),
inference(subsumption_resolution,[],[f7141,f3165]) ).
fof(f7141,plain,
( e20 = e23
| ~ spl68_232
| ~ spl68_444 ),
inference(forward_demodulation,[],[f7112,f1885]) ).
fof(f7112,plain,
( e23 = op2(e23,e22)
| ~ spl68_444 ),
inference(backward_demodulation,[],[f878,f2826]) ).
fof(f2826,plain,
( e22 = unit2
| ~ spl68_444 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2824,plain,
( spl68_444
<=> e22 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_444])]) ).
fof(f7080,plain,
( ~ spl68_86
| spl68_511
| ~ spl68_589 ),
inference(avatar_contradiction_clause,[],[f7079]) ).
fof(f7079,plain,
( $false
| ~ spl68_86
| spl68_511
| ~ spl68_589 ),
inference(subsumption_resolution,[],[f7078,f3165]) ).
fof(f7078,plain,
( e20 = e23
| ~ spl68_86
| ~ spl68_589 ),
inference(forward_demodulation,[],[f1263,f3614]) ).
fof(f3614,plain,
( e20 = op2(e20,e23)
| ~ spl68_589 ),
inference(avatar_component_clause,[],[f3612]) ).
fof(f3612,plain,
( spl68_589
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_589])]) ).
fof(f6980,plain,
( ~ spl68_412
| ~ spl68_552 ),
inference(avatar_split_clause,[],[f6979,f3410,f2674]) ).
fof(f6979,plain,
( e14 != op1(e14,e11)
| ~ spl68_552 ),
inference(forward_demodulation,[],[f807,f3412]) ).
fof(f807,plain,
op1(e13,e11) != op1(e14,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f6950,plain,
( ~ spl68_215
| spl68_524
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f6949]) ).
fof(f6949,plain,
( $false
| ~ spl68_215
| spl68_524
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f6948,f3247]) ).
fof(f6948,plain,
( e11 = e14
| ~ spl68_215
| ~ spl68_681 ),
inference(forward_demodulation,[],[f6947,f254]) ).
fof(f6947,plain,
( e11 = op1(unit1,e14)
| ~ spl68_215
| ~ spl68_681 ),
inference(forward_demodulation,[],[f1811,f4215]) ).
fof(f1811,plain,
( e11 = op1(e10,e14)
| ~ spl68_215 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1809,plain,
( spl68_215
<=> e11 = op1(e10,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_215])]) ).
fof(f6900,plain,
( ~ spl68_615
| ~ spl68_594 ),
inference(avatar_split_clause,[],[f6899,f3638,f3770]) ).
fof(f3770,plain,
( spl68_615
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_615])]) ).
fof(f6899,plain,
( e21 != op2(e21,e23)
| ~ spl68_594 ),
inference(forward_demodulation,[],[f346,f3640]) ).
fof(f346,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f6861,plain,
( ~ spl68_138
| ~ spl68_140 ),
inference(avatar_contradiction_clause,[],[f6860]) ).
fof(f6860,plain,
( $false
| ~ spl68_138
| ~ spl68_140 ),
inference(subsumption_resolution,[],[f6859,f1490]) ).
fof(f1490,plain,
( e12 = op1(e14,e12)
| ~ spl68_140 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1488,plain,
( spl68_140
<=> e12 = op1(e14,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_140])]) ).
fof(f6859,plain,
( e12 != op1(e14,e12)
| ~ spl68_138 ),
inference(forward_demodulation,[],[f819,f1482]) ).
fof(f819,plain,
op1(e14,e12) != op1(e14,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f6789,plain,
( ~ spl68_445
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f6788]) ).
fof(f6788,plain,
( $false
| ~ spl68_445
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f6787,f6552]) ).
fof(f6552,plain,
( unit1 = op1(unit1,unit1)
| ~ spl68_681 ),
inference(backward_demodulation,[],[f253,f4215]) ).
fof(f253,plain,
e10 = op1(e10,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f6787,plain,
( unit1 != op1(unit1,unit1)
| ~ spl68_445
| ~ spl68_681 ),
inference(forward_demodulation,[],[f6269,f4215]) ).
fof(f6269,plain,
( e10 != op1(e10,e10)
| ~ spl68_445 ),
inference(forward_demodulation,[],[f836,f2831]) ).
fof(f2831,plain,
( e10 = op1(e11,e10)
| ~ spl68_445 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f2829,plain,
( spl68_445
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_445])]) ).
fof(f836,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f7]) ).
fof(f6731,plain,
( ~ spl68_570
| ~ spl68_202 ),
inference(avatar_split_clause,[],[f6730,f1753,f3513]) ).
fof(f3513,plain,
( spl68_570
<=> e24 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_570])]) ).
fof(f6730,plain,
( e24 != op2(e20,e23)
| ~ spl68_202 ),
inference(forward_demodulation,[],[f366,f1755]) ).
fof(f6697,plain,
( ~ spl68_4
| ~ spl68_69 ),
inference(avatar_split_clause,[],[f6693,f1186,f911]) ).
fof(f1186,plain,
( spl68_69
<=> e13 = op1(e14,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_69])]) ).
fof(f6693,plain,
( e13 != op1(e11,e14)
| ~ spl68_69 ),
inference(backward_demodulation,[],[f805,f1188]) ).
fof(f1188,plain,
( e13 = op1(e14,e14)
| ~ spl68_69 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f805,plain,
op1(e11,e14) != op1(e14,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f6588,plain,
( ~ spl68_17
| ~ spl68_681 ),
inference(avatar_contradiction_clause,[],[f6587]) ).
fof(f6587,plain,
( $false
| ~ spl68_17
| ~ spl68_681 ),
inference(subsumption_resolution,[],[f6586,f533]) ).
fof(f6586,plain,
( e12 = e13
| ~ spl68_17
| ~ spl68_681 ),
inference(forward_demodulation,[],[f6561,f256]) ).
fof(f6561,plain,
( e12 = op1(e13,unit1)
| ~ spl68_17
| ~ spl68_681 ),
inference(backward_demodulation,[],[f971,f4215]) ).
fof(f971,plain,
( e12 = op1(e13,e10)
| ~ spl68_17 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f969,plain,
( spl68_17
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_17])]) ).
fof(f6494,plain,
( ~ spl68_100
| ~ spl68_138 ),
inference(avatar_split_clause,[],[f6492,f1480,f1322]) ).
fof(f1322,plain,
( spl68_100
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_100])]) ).
fof(f6492,plain,
( e12 != op1(e11,e13)
| ~ spl68_138 ),
inference(backward_demodulation,[],[f857,f1482]) ).
fof(f857,plain,
op1(e11,e13) != op1(e14,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f6485,plain,
( ~ spl68_503
| ~ spl68_300 ),
inference(avatar_split_clause,[],[f6100,f2184,f3118]) ).
fof(f3118,plain,
( spl68_503
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_503])]) ).
fof(f6100,plain,
( e10 != op1(e13,e11)
| ~ spl68_300 ),
inference(forward_demodulation,[],[f800,f2186]) ).
fof(f800,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f6454,plain,
( ~ spl68_36
| ~ spl68_38 ),
inference(avatar_split_clause,[],[f6331,f1059,f1051]) ).
fof(f6331,plain,
( e23 != op2(e23,e20)
| ~ spl68_38 ),
inference(forward_demodulation,[],[f319,f1061]) ).
fof(f1061,plain,
( e23 = op2(e23,e21)
| ~ spl68_38 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f6432,plain,
( ~ spl68_239
| spl68_515 ),
inference(avatar_contradiction_clause,[],[f6431]) ).
fof(f6431,plain,
( $false
| ~ spl68_239
| spl68_515 ),
inference(subsumption_resolution,[],[f6430,f3194]) ).
fof(f3194,plain,
( e22 != h1(e11)
| spl68_515 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f6430,plain,
( e22 = h1(e11)
| ~ spl68_239 ),
inference(forward_demodulation,[],[f524,f1918]) ).
fof(f1918,plain,
( op2(e20,e20) = e22
| ~ spl68_239 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1916,plain,
( spl68_239
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_239])]) ).
fof(f6411,plain,
( spl68_424
| ~ spl68_442 ),
inference(avatar_contradiction_clause,[],[f6410]) ).
fof(f6410,plain,
( $false
| spl68_424
| ~ spl68_442 ),
inference(subsumption_resolution,[],[f6409,f6382]) ).
fof(f6382,plain,
( unit2 != h2(e11)
| spl68_424
| ~ spl68_442 ),
inference(backward_demodulation,[],[f2735,f2818]) ).
fof(f2735,plain,
( e21 != h2(e11)
| spl68_424 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2733,plain,
( spl68_424
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_424])]) ).
fof(f6409,plain,
( unit2 = h2(e11)
| ~ spl68_442 ),
inference(forward_demodulation,[],[f6362,f6370]) ).
fof(f6370,plain,
( unit2 = op2(unit2,unit2)
| ~ spl68_442 ),
inference(backward_demodulation,[],[f881,f2818]) ).
fof(f6362,plain,
( h2(e11) = op2(unit2,unit2)
| ~ spl68_442 ),
inference(backward_demodulation,[],[f262,f2818]) ).
fof(f6408,plain,
( spl68_511
| ~ spl68_442
| ~ spl68_466 ),
inference(avatar_split_clause,[],[f6407,f2927,f2816,f3163]) ).
fof(f6407,plain,
( e20 = e23
| ~ spl68_442
| ~ spl68_466 ),
inference(forward_demodulation,[],[f6385,f883]) ).
fof(f6385,plain,
( e20 = op2(unit2,e23)
| ~ spl68_442
| ~ spl68_466 ),
inference(backward_demodulation,[],[f2929,f2818]) ).
fof(f6403,plain,
( ~ spl68_429
| ~ spl68_442 ),
inference(avatar_contradiction_clause,[],[f6402]) ).
fof(f6402,plain,
( $false
| ~ spl68_429
| ~ spl68_442 ),
inference(subsumption_resolution,[],[f6401,f873]) ).
fof(f873,plain,
e20 != e24,
inference(cnf_transformation,[],[f10]) ).
fof(f6401,plain,
( e20 = e24
| ~ spl68_429
| ~ spl68_442 ),
inference(forward_demodulation,[],[f6383,f885]) ).
fof(f885,plain,
e24 = op2(e24,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f6383,plain,
( e20 = op2(e24,unit2)
| ~ spl68_429
| ~ spl68_442 ),
inference(backward_demodulation,[],[f2757,f2818]) ).
fof(f6356,plain,
( ~ spl68_138
| ~ spl68_680 ),
inference(avatar_contradiction_clause,[],[f6355]) ).
fof(f6355,plain,
( $false
| ~ spl68_138
| ~ spl68_680 ),
inference(subsumption_resolution,[],[f5968,f533]) ).
fof(f5968,plain,
( e12 = e13
| ~ spl68_138
| ~ spl68_680 ),
inference(forward_demodulation,[],[f5939,f249]) ).
fof(f5939,plain,
( e12 = op1(unit1,e13)
| ~ spl68_138
| ~ spl68_680 ),
inference(backward_demodulation,[],[f1482,f4211]) ).
fof(f4211,plain,
( e14 = unit1
| ~ spl68_680 ),
inference(avatar_component_clause,[],[f4209]) ).
fof(f6320,plain,
( ~ spl68_176
| ~ spl68_454 ),
inference(avatar_contradiction_clause,[],[f6319]) ).
fof(f6319,plain,
( $false
| ~ spl68_176
| ~ spl68_454 ),
inference(subsumption_resolution,[],[f6318,f874]) ).
fof(f6318,plain,
( e21 = e22
| ~ spl68_176
| ~ spl68_454 ),
inference(forward_demodulation,[],[f2873,f1641]) ).
fof(f2873,plain,
( e22 = op2(e20,e21)
| ~ spl68_454 ),
inference(avatar_component_clause,[],[f2871]) ).
fof(f2871,plain,
( spl68_454
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_454])]) ).
fof(f6309,plain,
( ~ spl68_209
| ~ spl68_211 ),
inference(avatar_contradiction_clause,[],[f6308]) ).
fof(f6308,plain,
( $false
| ~ spl68_209
| ~ spl68_211 ),
inference(subsumption_resolution,[],[f6307,f874]) ).
fof(f6307,plain,
( e21 = e22
| ~ spl68_209
| ~ spl68_211 ),
inference(forward_demodulation,[],[f1786,f1794]) ).
fof(f1786,plain,
( e21 = op2(e24,e23)
| ~ spl68_209 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1784,plain,
( spl68_209
<=> e21 = op2(e24,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_209])]) ).
fof(f6201,plain,
( ~ spl68_32
| ~ spl68_229 ),
inference(avatar_split_clause,[],[f6197,f1870,f1033]) ).
fof(f1870,plain,
( spl68_229
<=> e24 = op2(e24,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_229])]) ).
fof(f6197,plain,
( e24 != op2(e24,e20)
| ~ spl68_229 ),
inference(backward_demodulation,[],[f381,f1872]) ).
fof(f1872,plain,
( e24 = op2(e24,e22)
| ~ spl68_229 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f381,plain,
op2(e24,e20) != op2(e24,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f6114,plain,
( ~ spl68_357
| ~ spl68_211 ),
inference(avatar_split_clause,[],[f5347,f1792,f2435]) ).
fof(f2435,plain,
( spl68_357
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_357])]) ).
fof(f5347,plain,
( e22 != op2(e21,e23)
| ~ spl68_211 ),
inference(forward_demodulation,[],[f392,f1794]) ).
fof(f392,plain,
op2(e21,e23) != op2(e24,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f6071,plain,
( ~ spl68_188
| ~ spl68_354 ),
inference(avatar_contradiction_clause,[],[f6070]) ).
fof(f6070,plain,
( $false
| ~ spl68_188
| ~ spl68_354 ),
inference(subsumption_resolution,[],[f6069,f874]) ).
fof(f6069,plain,
( e21 = e22
| ~ spl68_188
| ~ spl68_354 ),
inference(forward_demodulation,[],[f2424,f1694]) ).
fof(f2424,plain,
( e22 = op2(e23,e23)
| ~ spl68_354 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f2422,plain,
( spl68_354
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_354])]) ).
fof(f6060,plain,
( ~ spl68_68
| ~ spl68_138 ),
inference(avatar_contradiction_clause,[],[f6059]) ).
fof(f6059,plain,
( $false
| ~ spl68_68
| ~ spl68_138 ),
inference(subsumption_resolution,[],[f5548,f533]) ).
fof(f5548,plain,
( e12 = e13
| ~ spl68_68
| ~ spl68_138 ),
inference(forward_demodulation,[],[f1184,f1482]) ).
fof(f1184,plain,
( e13 = op1(e14,e13)
| ~ spl68_68 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1182,plain,
( spl68_68
<=> e13 = op1(e14,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_68])]) ).
fof(f6037,plain,
( ~ spl68_89
| ~ spl68_176
| spl68_468 ),
inference(avatar_contradiction_clause,[],[f6036]) ).
fof(f6036,plain,
( $false
| ~ spl68_89
| ~ spl68_176
| spl68_468 ),
inference(subsumption_resolution,[],[f6035,f2945]) ).
fof(f6035,plain,
( e21 = e23
| ~ spl68_89
| ~ spl68_176 ),
inference(forward_demodulation,[],[f1275,f1641]) ).
fof(f1275,plain,
( e23 = op2(e20,e21)
| ~ spl68_89 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl68_89
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_89])]) ).
fof(f6022,plain,
( ~ spl68_455
| ~ spl68_211 ),
inference(avatar_split_clause,[],[f5470,f1792,f2875]) ).
fof(f2875,plain,
( spl68_455
<=> e22 = op2(e24,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_455])]) ).
fof(f5470,plain,
( e22 != op2(e24,e21)
| ~ spl68_211 ),
inference(forward_demodulation,[],[f341,f1794]) ).
fof(f341,plain,
op2(e24,e21) != op2(e24,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f6015,plain,
( ~ spl68_526
| ~ spl68_38 ),
inference(avatar_split_clause,[],[f6014,f1059,f3255]) ).
fof(f6014,plain,
( e23 != op2(e24,e21)
| ~ spl68_38 ),
inference(backward_demodulation,[],[f306,f1061]) ).
fof(f6013,plain,
( ~ spl68_253
| ~ spl68_300 ),
inference(avatar_split_clause,[],[f6012,f2184,f1981]) ).
fof(f1981,plain,
( spl68_253
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_253])]) ).
fof(f6012,plain,
( e10 != op1(e11,e12)
| ~ spl68_300 ),
inference(backward_demodulation,[],[f839,f2186]) ).
fof(f839,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f5889,plain,
( ~ spl68_211
| ~ spl68_441 ),
inference(avatar_contradiction_clause,[],[f5888]) ).
fof(f5888,plain,
( $false
| ~ spl68_211
| ~ spl68_441 ),
inference(subsumption_resolution,[],[f5887,f870]) ).
fof(f870,plain,
e22 != e24,
inference(cnf_transformation,[],[f10]) ).
fof(f5887,plain,
( e22 = e24
| ~ spl68_211
| ~ spl68_441 ),
inference(forward_demodulation,[],[f885,f5730]) ).
fof(f5730,plain,
( e22 = op2(e24,unit2)
| ~ spl68_211
| ~ spl68_441 ),
inference(backward_demodulation,[],[f1794,f2814]) ).
fof(f2814,plain,
( e23 = unit2
| ~ spl68_441 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f2812,plain,
( spl68_441
<=> e23 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_441])]) ).
fof(f5815,plain,
( ~ spl68_102
| ~ spl68_98 ),
inference(avatar_split_clause,[],[f5814,f1314,f1330]) ).
fof(f1314,plain,
( spl68_98
<=> e12 = op1(e11,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_98])]) ).
fof(f5814,plain,
( e12 != op1(e11,e11)
| ~ spl68_98 ),
inference(forward_demodulation,[],[f816,f1316]) ).
fof(f1316,plain,
( e12 = op1(e11,e14)
| ~ spl68_98 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f816,plain,
op1(e11,e11) != op1(e11,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f5684,plain,
( ~ spl68_401
| ~ spl68_403 ),
inference(avatar_contradiction_clause,[],[f5683]) ).
fof(f5683,plain,
( $false
| ~ spl68_401
| ~ spl68_403 ),
inference(subsumption_resolution,[],[f5682,f870]) ).
fof(f5682,plain,
( e22 = e24
| ~ spl68_401
| ~ spl68_403 ),
inference(forward_demodulation,[],[f2624,f2632]) ).
fof(f2624,plain,
( e24 = op2(e20,e22)
| ~ spl68_401 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f2622,plain,
( spl68_401
<=> e24 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_401])]) ).
fof(f5580,plain,
( ~ spl68_137
| ~ spl68_138 ),
inference(avatar_split_clause,[],[f5579,f1480,f1476]) ).
fof(f1476,plain,
( spl68_137
<=> e12 = op1(e14,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_137])]) ).
fof(f5579,plain,
( e12 != op1(e14,e14)
| ~ spl68_138 ),
inference(forward_demodulation,[],[f817,f1482]) ).
fof(f817,plain,
op1(e14,e13) != op1(e14,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f5566,plain,
( ~ spl68_207
| ~ spl68_211 ),
inference(avatar_contradiction_clause,[],[f5565]) ).
fof(f5565,plain,
( $false
| ~ spl68_207
| ~ spl68_211 ),
inference(subsumption_resolution,[],[f5564,f870]) ).
fof(f5564,plain,
( e22 = e24
| ~ spl68_207
| ~ spl68_211 ),
inference(forward_demodulation,[],[f1778,f1794]) ).
fof(f1778,plain,
( e24 = op2(e24,e23)
| ~ spl68_207 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1776,plain,
( spl68_207
<=> e24 = op2(e24,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_207])]) ).
fof(f5563,plain,
( ~ spl68_633
| ~ spl68_211 ),
inference(avatar_split_clause,[],[f5265,f1792,f3885]) ).
fof(f5265,plain,
( e22 != op2(e20,e23)
| ~ spl68_211 ),
inference(forward_demodulation,[],[f301,f1794]) ).
fof(f301,plain,
op2(e20,e23) != op2(e24,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f5547,plain,
( ~ spl68_235
| ~ spl68_138 ),
inference(avatar_split_clause,[],[f5546,f1480,f1897]) ).
fof(f1897,plain,
( spl68_235
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_235])]) ).
fof(f5546,plain,
( e12 != op1(e12,e13)
| ~ spl68_138 ),
inference(backward_demodulation,[],[f823,f1482]) ).
fof(f823,plain,
op1(e12,e13) != op1(e14,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f5493,plain,
( ~ spl68_70
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f5492,f1607,f1192]) ).
fof(f1192,plain,
( spl68_70
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_70])]) ).
fof(f5492,plain,
( e20 != op2(e23,e21)
| ~ spl68_169 ),
inference(forward_demodulation,[],[f4243,f1608]) ).
fof(f4243,plain,
op2(e23,e21) != h4(e10),
inference(forward_demodulation,[],[f375,f2937]) ).
fof(f2937,plain,
op2(e23,e22) = h4(e10),
inference(backward_demodulation,[],[f2159,f2936]) ).
fof(f2936,plain,
e22 = op2(h4(e14),e23),
inference(forward_demodulation,[],[f170,f167]) ).
fof(f170,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e20 = op2(e23,op2(op2(e23,op2(e23,e23)),e23))
& e22 = op2(op2(e23,op2(e23,e23)),e23)
& e24 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f2159,plain,
h4(e10) = op2(e23,op2(h4(e14),e23)),
inference(forward_demodulation,[],[f164,f167]) ).
fof(f164,plain,
op2(e23,op2(op2(e23,op2(e23,e23)),e23)) = h4(e10),
inference(cnf_transformation,[],[f19]) ).
fof(f375,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f5442,plain,
( ~ spl68_356
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f5441]) ).
fof(f5441,plain,
( $false
| ~ spl68_356
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f5440,f874]) ).
fof(f5440,plain,
( e21 = e22
| ~ spl68_356
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4869,f2433]) ).
fof(f2433,plain,
( e22 = op2(e21,e20)
| ~ spl68_356 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f2431,plain,
( spl68_356
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_356])]) ).
fof(f4869,plain,
( e21 = op2(e21,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f881,f2810]) ).
fof(f5371,plain,
( ~ spl68_193
| ~ spl68_195 ),
inference(avatar_contradiction_clause,[],[f5370]) ).
fof(f5370,plain,
( $false
| ~ spl68_193
| ~ spl68_195 ),
inference(subsumption_resolution,[],[f5369,f536]) ).
fof(f536,plain,
e10 != e14,
inference(cnf_transformation,[],[f9]) ).
fof(f5369,plain,
( e10 = e14
| ~ spl68_193
| ~ spl68_195 ),
inference(forward_demodulation,[],[f1724,f1716]) ).
fof(f1716,plain,
( e14 = op1(e14,e10)
| ~ spl68_193 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1724,plain,
( e10 = op1(e14,e10)
| ~ spl68_195 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f1722,plain,
( spl68_195
<=> e10 = op1(e14,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_195])]) ).
fof(f5330,plain,
( ~ spl68_83
| ~ spl68_466 ),
inference(avatar_contradiction_clause,[],[f5329]) ).
fof(f5329,plain,
( $false
| ~ spl68_83
| ~ spl68_466 ),
inference(subsumption_resolution,[],[f5328,f873]) ).
fof(f5328,plain,
( e20 = e24
| ~ spl68_83
| ~ spl68_466 ),
inference(forward_demodulation,[],[f2929,f1250]) ).
fof(f5288,plain,
( ~ spl68_71
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(avatar_contradiction_clause,[],[f5287]) ).
fof(f5287,plain,
( $false
| ~ spl68_71
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(subsumption_resolution,[],[f5286,f870]) ).
fof(f5286,plain,
( e22 = e24
| ~ spl68_71
| ~ spl68_473
| ~ spl68_476
| ~ spl68_685 ),
inference(forward_demodulation,[],[f5284,f1198]) ).
fof(f1198,plain,
( e22 = op2(e23,e21)
| ~ spl68_71 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1196,plain,
( spl68_71
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_71])]) ).
fof(f5258,plain,
( ~ spl68_28
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl68_28
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f5256,f872]) ).
fof(f872,plain,
e23 != e24,
inference(cnf_transformation,[],[f10]) ).
fof(f5256,plain,
( e23 = e24
| ~ spl68_28
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4866,f1019]) ).
fof(f1019,plain,
( e24 = op2(e23,e20)
| ~ spl68_28 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f4866,plain,
( e23 = op2(e23,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f878,f2810]) ).
fof(f5226,plain,
( spl68_682
| ~ spl68_679 ),
inference(avatar_split_clause,[],[f5225,f4205,f4217]) ).
fof(f5225,plain,
( e11 = unit1
| ~ spl68_679 ),
inference(forward_demodulation,[],[f5173,f5176]) ).
fof(f5176,plain,
( e11 = op1(unit1,unit1)
| ~ spl68_679 ),
inference(backward_demodulation,[],[f528,f4207]) ).
fof(f4207,plain,
( e13 = unit1
| ~ spl68_679 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f528,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),e13)
& e10 = op1(e13,op1(op1(e13,op1(e13,e13)),e13))
& e14 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f5173,plain,
( unit1 = op1(unit1,unit1)
| ~ spl68_679 ),
inference(backward_demodulation,[],[f256,f4207]) ).
fof(f5161,plain,
( ~ spl68_523
| ~ spl68_552 ),
inference(avatar_split_clause,[],[f5160,f3410,f3240]) ).
fof(f3240,plain,
( spl68_523
<=> e14 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_523])]) ).
fof(f5160,plain,
( e14 != op1(e12,e11)
| ~ spl68_552 ),
inference(forward_demodulation,[],[f796,f3412]) ).
fof(f796,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f5129,plain,
( ~ spl68_193
| ~ spl68_194
| spl68_524 ),
inference(avatar_contradiction_clause,[],[f5128]) ).
fof(f5128,plain,
( $false
| ~ spl68_193
| ~ spl68_194
| spl68_524 ),
inference(subsumption_resolution,[],[f5127,f3247]) ).
fof(f5127,plain,
( e11 = e14
| ~ spl68_193
| ~ spl68_194 ),
inference(forward_demodulation,[],[f1720,f1716]) ).
fof(f1720,plain,
( e11 = op1(e14,e10)
| ~ spl68_194 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl68_194
<=> e11 = op1(e14,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_194])]) ).
fof(f5105,plain,
( ~ spl68_408
| ~ spl68_202 ),
inference(avatar_split_clause,[],[f5104,f1753,f2653]) ).
fof(f2653,plain,
( spl68_408
<=> e24 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_408])]) ).
fof(f5104,plain,
( e24 != h1(e11)
| ~ spl68_202 ),
inference(forward_demodulation,[],[f3674,f1755]) ).
fof(f3674,plain,
op2(e20,e24) != h1(e11),
inference(forward_demodulation,[],[f349,f524]) ).
fof(f349,plain,
op2(e20,e20) != op2(e20,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f5086,plain,
( ~ spl68_201
| ~ spl68_202 ),
inference(avatar_contradiction_clause,[],[f5085]) ).
fof(f5085,plain,
( $false
| ~ spl68_201
| ~ spl68_202 ),
inference(subsumption_resolution,[],[f5084,f870]) ).
fof(f5084,plain,
( e22 = e24
| ~ spl68_201
| ~ spl68_202 ),
inference(forward_demodulation,[],[f1751,f1755]) ).
fof(f1751,plain,
( e22 = op2(e20,e24)
| ~ spl68_201 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1749,plain,
( spl68_201
<=> e22 = op2(e20,e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_201])]) ).
fof(f5052,plain,
( ~ spl68_628
| ~ spl68_220 ),
inference(avatar_split_clause,[],[f5051,f1831,f3855]) ).
fof(f5051,plain,
( e21 != op2(e24,e24)
| ~ spl68_220 ),
inference(forward_demodulation,[],[f360,f1833]) ).
fof(f360,plain,
op2(e22,e24) != op2(e24,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f5047,plain,
( ~ spl68_6
| ~ spl68_394 ),
inference(avatar_split_clause,[],[f5046,f2589,f920]) ).
fof(f5046,plain,
( e10 != op1(e12,e14)
| ~ spl68_394 ),
inference(forward_demodulation,[],[f768,f2591]) ).
fof(f768,plain,
op1(e12,e13) != op1(e12,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f5043,plain,
( spl68_459
| ~ spl68_88 ),
inference(avatar_split_clause,[],[f5042,f1269,f2894]) ).
fof(f1269,plain,
( spl68_88
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_88])]) ).
fof(f5042,plain,
( e23 = h1(e11)
| ~ spl68_88 ),
inference(forward_demodulation,[],[f1271,f524]) ).
fof(f1271,plain,
( op2(e20,e20) = e23
| ~ spl68_88 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f5006,plain,
( ~ spl68_146
| ~ spl68_169 ),
inference(avatar_contradiction_clause,[],[f5005]) ).
fof(f5005,plain,
( $false
| ~ spl68_146
| ~ spl68_169 ),
inference(subsumption_resolution,[],[f5004,f873]) ).
fof(f5004,plain,
( e20 = e24
| ~ spl68_146
| ~ spl68_169 ),
inference(forward_demodulation,[],[f1515,f1608]) ).
fof(f1515,plain,
( e24 = h4(e10)
| ~ spl68_146 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1514,plain,
( spl68_146
<=> e24 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_146])]) ).
fof(f5003,plain,
( ~ spl68_504
| ~ spl68_394 ),
inference(avatar_split_clause,[],[f5002,f2589,f3122]) ).
fof(f5002,plain,
( e10 != op1(e12,e11)
| ~ spl68_394 ),
inference(forward_demodulation,[],[f803,f2591]) ).
fof(f803,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f4974,plain,
( spl68_86
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f4871,f2808,f1261]) ).
fof(f4871,plain,
( e23 = op2(e20,e23)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f883,f2810]) ).
fof(f4954,plain,
( ~ spl68_292
| ~ spl68_552 ),
inference(avatar_split_clause,[],[f4953,f3410,f2146]) ).
fof(f2146,plain,
( spl68_292
<=> e14 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_292])]) ).
fof(f4953,plain,
( e14 != op1(e11,e11)
| ~ spl68_552 ),
inference(forward_demodulation,[],[f846,f3412]) ).
fof(f846,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f4950,plain,
( spl68_138
| ~ spl68_552 ),
inference(avatar_split_clause,[],[f4949,f3410,f1480]) ).
fof(f4949,plain,
( e12 = op1(e14,e13)
| ~ spl68_552 ),
inference(forward_demodulation,[],[f3169,f3412]) ).
fof(f3169,plain,
e12 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[],[f531,f528]) ).
fof(f531,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f14]) ).
fof(f4948,plain,
( ~ spl68_227
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f4947,f1607,f1862]) ).
fof(f1862,plain,
( spl68_227
<=> e20 = op2(e24,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_227])]) ).
fof(f4947,plain,
( e20 != op2(e24,e22)
| ~ spl68_169 ),
inference(forward_demodulation,[],[f2940,f1608]) ).
fof(f2940,plain,
op2(e24,e22) != h4(e10),
inference(backward_demodulation,[],[f330,f2937]) ).
fof(f330,plain,
op2(e23,e22) != op2(e24,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f4945,plain,
( ~ spl68_293
| ~ spl68_392 ),
inference(avatar_contradiction_clause,[],[f4944]) ).
fof(f4944,plain,
( $false
| ~ spl68_293
| ~ spl68_392 ),
inference(subsumption_resolution,[],[f4943,f536]) ).
fof(f4943,plain,
( e10 = e14
| ~ spl68_293
| ~ spl68_392 ),
inference(forward_demodulation,[],[f2583,f2152]) ).
fof(f4929,plain,
( spl68_685
| ~ spl68_188
| ~ spl68_476 ),
inference(avatar_split_clause,[],[f4928,f2991,f1692,f4234]) ).
fof(f4928,plain,
( e21 = h4(e11)
| ~ spl68_188
| ~ spl68_476 ),
inference(forward_demodulation,[],[f1694,f2992]) ).
fof(f4913,plain,
( ~ spl68_32
| ~ spl68_76 ),
inference(avatar_contradiction_clause,[],[f4912]) ).
fof(f4912,plain,
( $false
| ~ spl68_32
| ~ spl68_76 ),
inference(subsumption_resolution,[],[f4911,f867]) ).
fof(f4911,plain,
( e21 = e24
| ~ spl68_32
| ~ spl68_76 ),
inference(forward_demodulation,[],[f1220,f1035]) ).
fof(f1220,plain,
( e21 = op2(e24,e20)
| ~ spl68_76 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl68_76
<=> e21 = op2(e24,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_76])]) ).
fof(f4903,plain,
( ~ spl68_300
| ~ spl68_678 ),
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| ~ spl68_300
| ~ spl68_678 ),
inference(subsumption_resolution,[],[f4901,f537]) ).
fof(f537,plain,
e10 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f4901,plain,
( e10 = e13
| ~ spl68_300
| ~ spl68_678 ),
inference(forward_demodulation,[],[f4900,f256]) ).
fof(f4900,plain,
( e10 = op1(e13,unit1)
| ~ spl68_300
| ~ spl68_678 ),
inference(forward_demodulation,[],[f2186,f4203]) ).
fof(f4203,plain,
( e12 = unit1
| ~ spl68_678 ),
inference(avatar_component_clause,[],[f4201]) ).
fof(f4898,plain,
( ~ spl68_424
| ~ spl68_174 ),
inference(avatar_split_clause,[],[f4897,f1631,f2733]) ).
fof(f4897,plain,
( e21 != h2(e11)
| ~ spl68_174 ),
inference(backward_demodulation,[],[f3372,f1633]) ).
fof(f1633,plain,
( e21 = op2(e24,e21)
| ~ spl68_174 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f3372,plain,
op2(e24,e21) != h2(e11),
inference(backward_demodulation,[],[f358,f262]) ).
fof(f358,plain,
op2(e21,e21) != op2(e24,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f4890,plain,
( spl68_135
| ~ spl68_440 ),
inference(avatar_split_clause,[],[f4889,f2808,f1467]) ).
fof(f4889,plain,
( e20 = h1(e11)
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4865,f524]) ).
fof(f4865,plain,
( e20 = op2(e20,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f877,f2810]) ).
fof(f877,plain,
e20 = op2(e20,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f4885,plain,
( ~ spl68_30
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f4884]) ).
fof(f4884,plain,
( $false
| ~ spl68_30
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f4883,f870]) ).
fof(f4883,plain,
( e22 = e24
| ~ spl68_30
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4868,f1027]) ).
fof(f1027,plain,
( e24 = op2(e22,e20)
| ~ spl68_30 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl68_30
<=> e24 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_30])]) ).
fof(f4868,plain,
( e22 = op2(e22,e20)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f880,f2810]) ).
fof(f4882,plain,
( ~ spl68_87
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f4881]) ).
fof(f4881,plain,
( $false
| ~ spl68_87
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f4880,f869]) ).
fof(f4880,plain,
( e22 = e23
| ~ spl68_87
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4874,f1267]) ).
fof(f1267,plain,
( e23 = op2(e20,e22)
| ~ spl68_87 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl68_87
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_87])]) ).
fof(f4874,plain,
( e22 = op2(e20,e22)
| ~ spl68_440 ),
inference(backward_demodulation,[],[f886,f2810]) ).
fof(f886,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f4877,plain,
( ~ spl68_31
| ~ spl68_440 ),
inference(avatar_contradiction_clause,[],[f4876]) ).
fof(f4876,plain,
( $false
| ~ spl68_31
| ~ spl68_440 ),
inference(subsumption_resolution,[],[f4875,f867]) ).
fof(f4875,plain,
( e21 = e24
| ~ spl68_31
| ~ spl68_440 ),
inference(forward_demodulation,[],[f4869,f1031]) ).
fof(f1031,plain,
( e24 = op2(e21,e20)
| ~ spl68_31 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl68_31
<=> e24 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_31])]) ).
fof(f4696,plain,
( spl68_511
| ~ spl68_93
| ~ spl68_96 ),
inference(avatar_split_clause,[],[f4695,f1304,f1292,f3163]) ).
fof(f4695,plain,
( e20 = e23
| ~ spl68_93
| ~ spl68_96 ),
inference(forward_demodulation,[],[f1294,f1306]) ).
fof(f4694,plain,
( ~ spl68_644
| ~ spl68_249 ),
inference(avatar_split_clause,[],[f4690,f1964,f3959]) ).
fof(f3959,plain,
( spl68_644
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_644])]) ).
fof(f4690,plain,
( e23 != h2(e11)
| ~ spl68_249 ),
inference(backward_demodulation,[],[f3368,f1966]) ).
fof(f3368,plain,
op2(e21,e24) != h2(e11),
inference(backward_demodulation,[],[f324,f262]) ).
fof(f324,plain,
op2(e21,e21) != op2(e21,e24),
inference(cnf_transformation,[],[f8]) ).
fof(f4686,plain,
( spl68_408
| ~ spl68_29 ),
inference(avatar_split_clause,[],[f4685,f1021,f2653]) ).
fof(f1021,plain,
( spl68_29
<=> op2(e20,e20) = e24 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_29])]) ).
fof(f4685,plain,
( e24 = h1(e11)
| ~ spl68_29 ),
inference(forward_demodulation,[],[f1023,f524]) ).
fof(f1023,plain,
( op2(e20,e20) = e24
| ~ spl68_29 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f4668,plain,
( ~ spl68_446
| ~ spl68_214 ),
inference(avatar_split_clause,[],[f4664,f1805,f2833]) ).
fof(f1805,plain,
( spl68_214
<=> e11 = op1(e11,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_214])]) ).
fof(f4664,plain,
( e11 != op1(e11,e10)
| ~ spl68_214 ),
inference(backward_demodulation,[],[f797,f1807]) ).
fof(f1807,plain,
( e11 = op1(e11,e14)
| ~ spl68_214 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f797,plain,
op1(e11,e10) != op1(e11,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f4602,plain,
( spl68_516
| ~ spl68_210
| ~ spl68_211 ),
inference(avatar_split_clause,[],[f4601,f1792,f1788,f3198]) ).
fof(f1788,plain,
( spl68_210
<=> e20 = op2(e24,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_210])]) ).
fof(f4601,plain,
( e20 = e22
| ~ spl68_210
| ~ spl68_211 ),
inference(forward_demodulation,[],[f1794,f1790]) ).
fof(f1790,plain,
( e20 = op2(e24,e23)
| ~ spl68_210 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f4540,plain,
( ~ spl68_32
| ~ spl68_78 ),
inference(avatar_contradiction_clause,[],[f4539]) ).
fof(f4539,plain,
( $false
| ~ spl68_32
| ~ spl68_78 ),
inference(subsumption_resolution,[],[f4538,f873]) ).
fof(f4538,plain,
( e20 = e24
| ~ spl68_32
| ~ spl68_78 ),
inference(forward_demodulation,[],[f1228,f1035]) ).
fof(f1228,plain,
( e20 = op2(e24,e20)
| ~ spl68_78 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1226,plain,
( spl68_78
<=> e20 = op2(e24,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_78])]) ).
fof(f4521,plain,
( ~ spl68_231
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f4512,f1607,f1879]) ).
fof(f1879,plain,
( spl68_231
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_231])]) ).
fof(f4512,plain,
( e20 != op2(e23,e23)
| ~ spl68_169 ),
inference(backward_demodulation,[],[f2939,f1608]) ).
fof(f2939,plain,
op2(e23,e23) != h4(e10),
inference(backward_demodulation,[],[f362,f2937]) ).
fof(f362,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f4520,plain,
( spl68_232
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f4510,f1607,f1883]) ).
fof(f4510,plain,
( e20 = op2(e23,e22)
| ~ spl68_169 ),
inference(backward_demodulation,[],[f2937,f1608]) ).
fof(f4519,plain,
( ~ spl68_499
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f4511,f1607,f3099]) ).
fof(f3099,plain,
( spl68_499
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_499])]) ).
fof(f4511,plain,
( e20 != op2(e22,e22)
| ~ spl68_169 ),
inference(backward_demodulation,[],[f2938,f1608]) ).
fof(f2938,plain,
op2(e22,e22) != h4(e10),
inference(backward_demodulation,[],[f300,f2937]) ).
fof(f300,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f4517,plain,
( ~ spl68_418
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f4514,f1607,f2704]) ).
fof(f2704,plain,
( spl68_418
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_418])]) ).
fof(f4514,plain,
( e20 != op2(e21,e22)
| ~ spl68_169 ),
inference(backward_demodulation,[],[f3264,f1608]) ).
fof(f3264,plain,
op2(e21,e22) != h4(e10),
inference(forward_demodulation,[],[f350,f2937]) ).
fof(f350,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f4509,plain,
( spl68_638
| ~ spl68_332 ),
inference(avatar_split_clause,[],[f4508,f2319,f3914]) ).
fof(f4508,plain,
( e22 = h2(e11)
| ~ spl68_332 ),
inference(forward_demodulation,[],[f2321,f262]) ).
fof(f4507,plain,
( spl68_211
| ~ spl68_473 ),
inference(avatar_split_clause,[],[f4505,f2979,f1792]) ).
fof(f4505,plain,
( e22 = op2(e24,e23)
| ~ spl68_473 ),
inference(backward_demodulation,[],[f2936,f2980]) ).
fof(f4492,plain,
( ~ spl68_392
| ~ spl68_391 ),
inference(avatar_split_clause,[],[f4486,f2577,f2581]) ).
fof(f2577,plain,
( spl68_391
<=> e10 = op1(e14,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_391])]) ).
fof(f4486,plain,
( e10 != op1(e11,e13)
| ~ spl68_391 ),
inference(backward_demodulation,[],[f857,f2579]) ).
fof(f2579,plain,
( e10 = op1(e14,e13)
| ~ spl68_391 ),
inference(avatar_component_clause,[],[f2577]) ).
fof(f4467,plain,
( ~ spl68_537
| ~ spl68_96 ),
inference(avatar_split_clause,[],[f4456,f1304,f3315]) ).
fof(f4456,plain,
( e20 != op2(e22,e24)
| ~ spl68_96 ),
inference(backward_demodulation,[],[f302,f1306]) ).
fof(f4463,plain,
( ~ spl68_588
| ~ spl68_96 ),
inference(avatar_split_clause,[],[f4461,f1304,f3608]) ).
fof(f4461,plain,
( e20 != op2(e22,e23)
| ~ spl68_96 ),
inference(backward_demodulation,[],[f379,f1306]) ).
fof(f379,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f4391,plain,
( ~ spl68_5
| ~ spl68_66 ),
inference(avatar_split_clause,[],[f4383,f1174,f915]) ).
fof(f4383,plain,
( e13 != op1(e11,e12)
| ~ spl68_66 ),
inference(backward_demodulation,[],[f821,f1176]) ).
fof(f821,plain,
op1(e11,e12) != op1(e14,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f4388,plain,
( ~ spl68_65
| ~ spl68_66 ),
inference(avatar_split_clause,[],[f4386,f1174,f1170]) ).
fof(f4386,plain,
( e13 != op1(e14,e11)
| ~ spl68_66 ),
inference(backward_demodulation,[],[f861,f1176]) ).
fof(f861,plain,
op1(e14,e11) != op1(e14,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f4331,plain,
( ~ spl68_673
| ~ spl68_49 ),
inference(avatar_split_clause,[],[f185,f1104,f4167]) ).
fof(f1104,plain,
( spl68_49
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_49])]) ).
fof(f185,plain,
( ~ sP19
| op1(e12,e13) != op1(e13,e12) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e12 = op1(op1(e12,e13),e13)
& op1(e12,e13) != op1(e13,e12)
& e13 != op1(op1(e12,e13),e12) )
| ~ sP19 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e12 = op1(op1(e12,e13),e13)
& op1(e12,e13) != op1(e13,e12)
& e13 != op1(op1(e12,e13),e12) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f4329,plain,
spl68_476,
inference(avatar_split_clause,[],[f163,f2991]) ).
fof(f163,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f19]) ).
fof(f4326,plain,
( spl68_515
| spl68_201
| spl68_403
| spl68_633
| spl68_454 ),
inference(avatar_split_clause,[],[f4325,f2871,f3885,f2630,f1749,f3192]) ).
fof(f4325,plain,
( e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e24)
| e22 = h1(e11) ),
inference(forward_demodulation,[],[f740,f524]) ).
fof(f740,plain,
( e22 = op2(e20,e24)
| op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( ( e23 = op2(e22,e24)
| e23 = op2(e21,e24)
| e23 = op2(e24,e24)
| e23 = op2(e20,e24)
| e23 = op2(e23,e24) )
& ( e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20)
| e22 = op2(e24,e20) )
& ( e21 = op2(e21,e24)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e24,e20) )
& ( e24 = op2(e22,e21)
| e24 = op2(e20,e21)
| e24 = op2(e21,e21)
| e24 = op2(e23,e21)
| e24 = op2(e24,e21) )
& ( e24 = op2(e20,e22)
| e24 = op2(e23,e22)
| e24 = op2(e22,e22)
| e24 = op2(e21,e22)
| e24 = op2(e24,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e24)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21) )
& ( e24 = op2(e23,e20)
| e24 = op2(e21,e20)
| e24 = op2(e24,e20)
| e24 = op2(e22,e20)
| op2(e20,e20) = e24 )
& ( e24 = op2(e24,e22)
| e24 = op2(e24,e23)
| e24 = op2(e24,e21)
| e24 = op2(e24,e24)
| e24 = op2(e24,e20) )
& ( e23 = op2(e20,e21)
| e23 = op2(e20,e24)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 )
& ( e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| e23 = op2(e21,e23)
| e23 = op2(e21,e24)
| e23 = op2(e21,e21) )
& ( e21 = op2(e23,e22)
| e21 = op2(e24,e22)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e24,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e24,e21)
| e22 = op2(e21,e21) )
& ( e21 = op2(e20,e23)
| e21 = op2(e22,e23)
| e21 = op2(e24,e23)
| e21 = op2(e21,e23)
| e21 = op2(e23,e23) )
& ( op2(e20,e20) = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| e21 = op2(e20,e23)
| e21 = op2(e20,e24) )
& ( e20 = op2(e22,e24)
| e20 = op2(e20,e24)
| e20 = op2(e24,e24)
| e20 = op2(e21,e24)
| e20 = op2(e23,e24) )
& ( e24 = op2(e24,e24)
| e24 = op2(e22,e24)
| e24 = op2(e20,e24)
| e24 = op2(e23,e24)
| e24 = op2(e21,e24) )
& ( e21 = op2(e21,e24)
| e21 = op2(e22,e24)
| e21 = op2(e24,e24)
| e21 = op2(e20,e24)
| e21 = op2(e23,e24) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e24) )
& ( e24 = op2(e22,e23)
| e24 = op2(e22,e24)
| e24 = op2(e22,e20)
| e24 = op2(e22,e21)
| e24 = op2(e22,e22) )
& ( e22 = op2(e22,e24)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22) )
& ( e24 = op2(e21,e23)
| e24 = op2(e20,e23)
| e24 = op2(e22,e23)
| e24 = op2(e24,e23)
| e24 = op2(e23,e23) )
& ( e22 = op2(e21,e23)
| e22 = op2(e24,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23) )
& ( e24 = op2(e20,e22)
| e24 = op2(e20,e23)
| op2(e20,e20) = e24
| e24 = op2(e20,e21)
| e24 = op2(e20,e24) )
& ( e23 = op2(e20,e22)
| e23 = op2(e24,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) )
& ( e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e24) )
& ( e23 = op2(e23,e20)
| e23 = op2(e23,e24)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22) )
& ( e21 = op2(e21,e20)
| e21 = op2(e23,e20)
| e21 = op2(e24,e20)
| op2(e20,e20) = e21
| e21 = op2(e22,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e24)
| e22 = op2(e23,e23) )
& ( e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e24,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22) )
& ( e21 = op2(e22,e24)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e24 = op2(e21,e22)
| e24 = op2(e21,e23)
| e24 = op2(e21,e24)
| e24 = op2(e21,e21)
| e24 = op2(e21,e20) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| e20 = op2(e21,e24)
| e20 = op2(e21,e23)
| e20 = op2(e21,e21) )
& ( e23 = op2(e24,e24)
| e23 = op2(e24,e20)
| e23 = op2(e24,e21)
| e23 = op2(e24,e23)
| e23 = op2(e24,e22) )
& ( e22 = op2(e24,e21)
| e22 = op2(e24,e20)
| e22 = op2(e24,e23)
| e22 = op2(e24,e22)
| e22 = op2(e24,e24) )
& ( e20 = op2(e20,e23)
| e20 = op2(e23,e23)
| e20 = op2(e24,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) )
& ( e20 = op2(e21,e21)
| e20 = op2(e24,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21) )
& ( e22 = op2(e24,e24)
| e22 = op2(e23,e24)
| e22 = op2(e21,e24)
| e22 = op2(e20,e24)
| e22 = op2(e22,e24) )
& ( e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e24,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e24) )
& ( e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e24) )
& ( e24 = op2(e23,e24)
| e24 = op2(e23,e20)
| e24 = op2(e23,e23)
| e24 = op2(e23,e21)
| e24 = op2(e23,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e20,e23)
| e23 = op2(e24,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e24,e23)
| e21 = op2(e24,e20)
| e21 = op2(e24,e22)
| e21 = op2(e24,e24)
| e21 = op2(e24,e21) )
& ( e20 = op2(e24,e24)
| e20 = op2(e24,e21)
| e20 = op2(e24,e22)
| e20 = op2(e24,e23)
| e20 = op2(e24,e20) )
& ( e23 = op2(e21,e21)
| e23 = op2(e24,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e24)
| e20 = op2(e22,e22)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e24,e22)
| e20 = op2(e23,e22) )
& ( e20 = op2(e20,e24)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f4316,plain,
( ~ spl68_495
| ~ spl68_541 ),
inference(avatar_split_clause,[],[f643,f3341,f3081]) ).
fof(f3081,plain,
( spl68_495
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_495])]) ).
fof(f643,plain,
( op2(e21,e23) != op2(e23,e21)
| ~ sP50 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e23 != op2(op2(e21,e23),e21)
& e21 = op2(op2(e21,e23),e23)
& op2(e21,e23) != op2(e23,e21) )
| ~ sP50 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e23 != op2(op2(e21,e23),e21)
& e21 = op2(op2(e21,e23),e23)
& op2(e21,e23) != op2(e23,e21) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f4314,plain,
~ spl68_43,
inference(avatar_split_clause,[],[f888,f1080]) ).
fof(f1080,plain,
( spl68_43
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_43])]) ).
fof(f888,plain,
~ sP23,
inference(trivial_inequality_removal,[],[f172]) ).
fof(f172,plain,
( ~ sP23
| op1(e11,e11) != op1(e11,e11) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e11 != op1(op1(e11,e11),e11)
& e11 = op1(op1(e11,e11),e11)
& op1(e11,e11) != op1(e11,e11) )
| ~ sP23 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e11 != op1(op1(e11,e11),e11)
& e11 = op1(op1(e11,e11),e11)
& op1(e11,e11) != op1(e11,e11) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f4304,plain,
( ~ spl68_693
| ~ spl68_492 ),
inference(avatar_split_clause,[],[f630,f3069,f4301]) ).
fof(f3069,plain,
( spl68_492
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_492])]) ).
fof(f630,plain,
( ~ sP55
| e24 != op2(op2(e20,e24),e20) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e24 != op2(op2(e20,e24),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 = op2(op2(e20,e24),e24) )
| ~ sP55 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e24 != op2(op2(e20,e24),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 = op2(op2(e20,e24),e24) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f4299,plain,
~ spl68_511,
inference(avatar_split_clause,[],[f875,f3163]) ).
fof(f875,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f4287,plain,
( ~ spl68_635
| ~ spl68_46 ),
inference(avatar_split_clause,[],[f224,f1092,f3897]) ).
fof(f1092,plain,
( spl68_46
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_46])]) ).
fof(f224,plain,
( ~ sP6
| op1(e13,e14) != op1(e14,e13) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e14 != op1(op1(e13,e14),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 = op1(op1(e13,e14),e14) )
| ~ sP6 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e14 != op1(op1(e13,e14),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 = op1(op1(e13,e14),e14) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f4279,plain,
( ~ spl68_49
| ~ spl68_689 ),
inference(avatar_split_clause,[],[f184,f4276,f1104]) ).
fof(f184,plain,
( e13 != op1(op1(e12,e13),e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f99]) ).
fof(f4273,plain,
( ~ spl68_601
| ~ spl68_497 ),
inference(avatar_split_clause,[],[f627,f3089,f3683]) ).
fof(f3089,plain,
( spl68_497
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_497])]) ).
fof(f627,plain,
( ~ sP56
| op2(e20,e21) != op2(e21,e20) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( op2(e20,e21) != op2(e21,e20)
& e20 = op2(op2(e20,e21),e21)
& e21 != op2(op2(e20,e21),e20) )
| ~ sP56 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( op2(e20,e21) != op2(e21,e20)
& e20 = op2(op2(e20,e21),e21)
& e21 != op2(op2(e20,e21),e20) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f4272,plain,
( ~ spl68_688
| ~ spl68_11 ),
inference(avatar_split_clause,[],[f230,f941,f4269]) ).
fof(f941,plain,
( spl68_11
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_11])]) ).
fof(f230,plain,
( ~ sP4
| e14 != op1(op1(e11,e14),e11) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e11 = op1(op1(e11,e14),e14)
& e14 != op1(op1(e11,e14),e11)
& op1(e11,e14) != op1(e14,e11) )
| ~ sP4 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e11 = op1(op1(e11,e14),e14)
& e14 != op1(op1(e11,e14),e11)
& op1(e11,e14) != op1(e14,e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f4249,plain,
( spl68_250
| spl68_457
| spl68_295
| spl68_347
| spl68_93 ),
inference(avatar_split_clause,[],[f760,f1292,f2390,f2161,f2885,f1968]) ).
fof(f760,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23)
| e23 = op2(e22,e24) ),
inference(cnf_transformation,[],[f6]) ).
fof(f4240,plain,
spl68_514,
inference(avatar_split_clause,[],[f4239,f3183]) ).
fof(f4239,plain,
e22 = h4(e12),
inference(forward_demodulation,[],[f4238,f2936]) ).
fof(f4238,plain,
h4(e12) = op2(h4(e14),e23),
inference(forward_demodulation,[],[f166,f167]) ).
fof(f166,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
inference(cnf_transformation,[],[f19]) ).
fof(f4237,plain,
( ~ spl68_133
| ~ spl68_685 ),
inference(avatar_split_clause,[],[f485,f4234,f1457]) ).
fof(f1457,plain,
( spl68_133
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_133])]) ).
fof(f485,plain,
( e21 != h4(e11)
| ~ sP26 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e21 != h4(e14)
& e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP26 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e21 != h4(e14)
& e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f4232,plain,
( ~ spl68_80
| ~ spl68_206 ),
inference(avatar_split_clause,[],[f613,f1771,f1235]) ).
fof(f1235,plain,
( spl68_80
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_80])]) ).
fof(f613,plain,
( op2(e23,e24) != op2(e24,e23)
| ~ sP60 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e24 = op2(op2(e24,e23),e23)
& e23 != op2(op2(e24,e23),e24)
& op2(e23,e24) != op2(e24,e23) )
| ~ sP60 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e24 = op2(op2(e24,e23),e23)
& e23 != op2(op2(e24,e23),e24)
& op2(e23,e24) != op2(e24,e23) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f4220,plain,
( spl68_678
| spl68_679
| spl68_680
| spl68_681
| spl68_682 ),
inference(avatar_split_clause,[],[f257,f4217,f4213,f4209,f4205,f4201]) ).
fof(f257,plain,
( e11 = unit1
| e10 = unit1
| e14 = unit1
| e13 = unit1
| e12 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f4189,plain,
( spl68_214
| spl68_471
| spl68_290
| spl68_98
| spl68_4 ),
inference(avatar_split_clause,[],[f707,f911,f1314,f2138,f2957,f1805]) ).
fof(f707,plain,
( e13 = op1(e11,e14)
| e12 = op1(e11,e14)
| e14 = op1(e11,e14)
| e10 = op1(e11,e14)
| e11 = op1(e11,e14) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e14 = op1(e14,e11)
| e10 = op1(e14,e11)
| e13 = op1(e14,e11)
| e12 = op1(e14,e11)
| e11 = op1(e14,e11) )
& ( e13 = op1(e13,e14)
| e10 = op1(e13,e14)
| e12 = op1(e13,e14)
| e14 = op1(e13,e14)
| e11 = op1(e13,e14) )
& ( e14 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13) )
& ( e14 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e13 = op1(e10,e11) )
& ( e14 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e13 = op1(e13,e11)
| e14 = op1(e13,e11)
| e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e10 = op1(e14,e13)
| e13 = op1(e14,e13)
| e14 = op1(e14,e13)
| e11 = op1(e14,e13)
| e12 = op1(e14,e13) )
& ( e12 = op1(e12,e14)
| e13 = op1(e12,e14)
| e14 = op1(e12,e14)
| e10 = op1(e12,e14)
| e11 = op1(e12,e14) )
& ( e14 = op1(e14,e12)
| e10 = op1(e14,e12)
| e13 = op1(e14,e12)
| e12 = op1(e14,e12)
| e11 = op1(e14,e12) )
& ( e11 = op1(e11,e14)
| e10 = op1(e11,e14)
| e12 = op1(e11,e14)
| e14 = op1(e11,e14)
| e13 = op1(e11,e14) )
& ( e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e14 = op1(e13,e10) )
& ( e12 = op1(e12,e13)
| e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e13 = op1(e12,e13)
| e14 = op1(e12,e13) )
& ( e11 = op1(e11,e11)
| e10 = op1(e11,e11)
| e12 = op1(e11,e11)
| e14 = op1(e11,e11)
| e13 = op1(e11,e11) )
& ( e12 = op1(e13,e12)
| e14 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12)
| e13 = op1(e13,e12) )
& ( e11 = op1(e14,e14)
| e12 = op1(e14,e14)
| e14 = op1(e14,e14)
| e10 = op1(e14,e14)
| e13 = op1(e14,e14) )
& ( e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e14 = op1(e12,e10)
| e13 = op1(e12,e10)
| e12 = op1(e12,e10) )
& ( op1(e10,e10) = e14
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e10,e10) = e12 )
& ( e11 = op1(e11,e12)
| e14 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e14,e10)
| e10 = op1(e14,e10)
| e14 = op1(e14,e10)
| e11 = op1(e14,e10)
| e12 = op1(e14,e10) )
& ( e11 = op1(e11,e10)
| e10 = op1(e11,e10)
| e14 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e14 = op1(e10,e12)
| e12 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e14 = op1(e10,e14)
| e10 = op1(e10,e14)
| e11 = op1(e10,e14)
| e12 = op1(e10,e14)
| e13 = op1(e10,e14) )
& ( e10 = op1(e12,e12)
| e14 = op1(e12,e12)
| e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e13,e13)
| e14 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e13 = op1(e12,e11)
| e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e14 = op1(e12,e11)
| e12 = op1(e12,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f4165,plain,
~ spl68_545,
inference(avatar_split_clause,[],[f538,f3364]) ).
fof(f538,plain,
e11 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f4153,plain,
~ spl68_516,
inference(avatar_split_clause,[],[f868,f3198]) ).
fof(f868,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f4152,plain,
( ~ spl68_59
| ~ spl68_289 ),
inference(avatar_split_clause,[],[f182,f2133,f1144]) ).
fof(f1144,plain,
( spl68_59
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_59])]) ).
fof(f182,plain,
( op1(e10,e11) != op1(e11,e10)
| ~ sP20 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e11 != op1(op1(e10,e11),e10)
& op1(e10,e11) != op1(e11,e10)
& e10 = op1(op1(e10,e11),e11) )
| ~ sP20 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e11 != op1(op1(e10,e11),e10)
& op1(e10,e11) != op1(e11,e10)
& e10 = op1(op1(e10,e11),e11) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f4145,plain,
( spl68_548
| spl68_525
| spl68_235
| spl68_394
| spl68_189 ),
inference(avatar_split_clause,[],[f705,f1697,f2589,f1897,f3250,f3387]) ).
fof(f1697,plain,
( spl68_189
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_189])]) ).
fof(f705,plain,
( e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e14 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f4131,plain,
( spl68_526
| spl68_644
| spl68_89
| spl68_93
| spl68_38 ),
inference(avatar_split_clause,[],[f4130,f1059,f1292,f1273,f3959,f3255]) ).
fof(f4130,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = h2(e11)
| e23 = op2(e24,e21) ),
inference(forward_demodulation,[],[f720,f262]) ).
fof(f720,plain,
( e23 = op2(e22,e21)
| e23 = op2(e24,e21)
| e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f4128,plain,
( spl68_96
| spl68_588
| spl68_346
| spl68_499
| spl68_537 ),
inference(avatar_split_clause,[],[f719,f3315,f3099,f2386,f3608,f1304]) ).
fof(f719,plain,
( e20 = op2(e22,e24)
| e20 = op2(e22,e22)
| e20 = op2(e22,e20)
| e20 = op2(e22,e23)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f4124,plain,
( spl68_537
| spl68_406
| spl68_337
| spl68_220
| spl68_250 ),
inference(avatar_split_clause,[],[f278,f1968,f1831,f2341,f2644,f3315]) ).
fof(f278,plain,
( e23 = op2(e22,e24)
| e21 = op2(e22,e24)
| e24 = op2(e22,e24)
| e22 = op2(e22,e24)
| e20 = op2(e22,e24) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e20,e23)
| e23 = op2(e20,e23)
| e24 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e22 = op2(e24,e24)
| e20 = op2(e24,e24)
| e21 = op2(e24,e24)
| e24 = op2(e24,e24)
| e23 = op2(e24,e24) )
& ( e23 = op2(e21,e23)
| e24 = op2(e21,e23)
| e20 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e24
| op2(e20,e20) = e23
| op2(e20,e20) = e21
| op2(e20,e20) = e22 )
& ( e23 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e24 = op2(e21,e20)
| e22 = op2(e21,e20) )
& ( e22 = op2(e24,e22)
| e24 = op2(e24,e22)
| e23 = op2(e24,e22)
| e20 = op2(e24,e22)
| e21 = op2(e24,e22) )
& ( e21 = op2(e22,e22)
| e23 = op2(e22,e22)
| e24 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e24 = op2(e22,e20)
| e20 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e22 = op2(e24,e21)
| e21 = op2(e24,e21)
| e20 = op2(e24,e21)
| e24 = op2(e24,e21)
| e23 = op2(e24,e21) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e24 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e24 = op2(e22,e23)
| e22 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e21 = op2(e23,e21)
| e24 = op2(e23,e21)
| e20 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e22 = op2(e24,e20)
| e20 = op2(e24,e20)
| e21 = op2(e24,e20)
| e23 = op2(e24,e20)
| e24 = op2(e24,e20) )
& ( e23 = op2(e21,e22)
| e24 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e20 = op2(e22,e24)
| e22 = op2(e22,e24)
| e24 = op2(e22,e24)
| e21 = op2(e22,e24)
| e23 = op2(e22,e24) )
& ( e20 = op2(e23,e20)
| e24 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e24 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e20 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e23 = op2(e20,e22)
| e24 = op2(e20,e22)
| e22 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e22 = op2(e20,e24)
| e24 = op2(e20,e24)
| e20 = op2(e20,e24)
| e23 = op2(e20,e24)
| e21 = op2(e20,e24) )
& ( e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23)
| e24 = op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e21 = op2(e21,e24)
| e20 = op2(e21,e24)
| e22 = op2(e21,e24)
| e24 = op2(e21,e24)
| e23 = op2(e21,e24) )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e24 = op2(e20,e21) )
& ( e24 = op2(e23,e24)
| e23 = op2(e23,e24)
| e20 = op2(e23,e24)
| e21 = op2(e23,e24)
| e22 = op2(e23,e24) )
& ( e20 = op2(e22,e21)
| e21 = op2(e22,e21)
| e24 = op2(e22,e21)
| e23 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e22 = op2(e24,e23)
| e21 = op2(e24,e23)
| e20 = op2(e24,e23)
| e24 = op2(e24,e23)
| e23 = op2(e24,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f4115,plain,
( ~ spl68_61
| ~ spl68_660 ),
inference(avatar_split_clause,[],[f208,f4063,f1152]) ).
fof(f1152,plain,
( spl68_61
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_61])]) ).
fof(f208,plain,
( op1(e10,e14) != op1(e14,e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e10 != op1(op1(e14,e10),e14)
& e14 = op1(op1(e14,e10),e10)
& op1(e10,e14) != op1(e14,e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e10 != op1(op1(e14,e10),e14)
& e14 = op1(op1(e14,e10),e10)
& op1(e10,e14) != op1(e14,e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f4114,plain,
( spl68_345
| spl68_429
| spl68_526
| spl68_455
| spl68_174 ),
inference(avatar_split_clause,[],[f284,f1631,f2875,f3255,f2755,f2381]) ).
fof(f284,plain,
( e21 = op2(e24,e21)
| e22 = op2(e24,e21)
| e23 = op2(e24,e21)
| e20 = op2(e24,e21)
| e24 = op2(e24,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4076,plain,
spl68_609,
inference(avatar_split_clause,[],[f267,f3740]) ).
fof(f267,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( op2(e22,e22) = h3(e11)
& e22 = h3(e13)
& op2(e22,op2(e22,e22)) = h3(e14)
& h3(e10) = op2(e22,op2(op2(e22,op2(e22,e22)),e22))
& op2(op2(e22,op2(e22,e22)),e22) = h3(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f4075,plain,
( spl68_178
| spl68_139
| spl68_18
| spl68_352
| spl68_102 ),
inference(avatar_split_clause,[],[f553,f1330,f2413,f973,f1484,f1649]) ).
fof(f553,plain,
( e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11)
| e12 = op1(e14,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e12 = op1(e12,e14)
| e12 = op1(e12,e10)
| e12 = op1(e12,e13)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12) )
& ( e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e14) )
& ( e14 = op1(e12,e10)
| e14 = op1(e14,e10)
| e14 = op1(e13,e10)
| op1(e10,e10) = e14
| e14 = op1(e11,e10) )
& ( e12 = op1(e11,e13)
| e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e14,e13) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e14)
| e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e14,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12) )
& ( e10 = op1(e14,e11)
| e10 = op1(e14,e10)
| e10 = op1(e14,e14)
| e10 = op1(e14,e13)
| e10 = op1(e14,e12) )
& ( e14 = op1(e14,e12)
| e14 = op1(e14,e10)
| e14 = op1(e14,e11)
| e14 = op1(e14,e14)
| e14 = op1(e14,e13) )
& ( e11 = op1(e14,e13)
| e11 = op1(e14,e12)
| e11 = op1(e14,e14)
| e11 = op1(e14,e11)
| e11 = op1(e14,e10) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e12)
| e10 = op1(e11,e14)
| e10 = op1(e11,e13) )
& ( e13 = op1(e12,e14)
| e13 = op1(e13,e14)
| e13 = op1(e10,e14)
| e13 = op1(e11,e14)
| e13 = op1(e14,e14) )
& ( e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12)
| e11 = op1(e14,e12)
| e11 = op1(e10,e12) )
& ( e12 = op1(e14,e12)
| e12 = op1(e14,e11)
| e12 = op1(e14,e14)
| e12 = op1(e14,e13)
| e12 = op1(e14,e10) )
& ( e11 = op1(e11,e14)
| e11 = op1(e12,e14)
| e11 = op1(e14,e14)
| e11 = op1(e10,e14)
| e11 = op1(e13,e14) )
& ( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e14,e10) )
& ( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e14,e10)
| e12 = op1(e13,e10) )
& ( e14 = op1(e11,e12)
| e14 = op1(e12,e12)
| e14 = op1(e10,e12)
| e14 = op1(e14,e12)
| e14 = op1(e13,e12) )
& ( e14 = op1(e10,e14)
| op1(e10,e10) = e14
| e14 = op1(e10,e11)
| e14 = op1(e10,e12)
| e14 = op1(e10,e13) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e14)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12) )
& ( e14 = op1(e12,e13)
| e14 = op1(e10,e13)
| e14 = op1(e14,e13)
| e14 = op1(e13,e13)
| e14 = op1(e11,e13) )
& ( e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e14)
| e10 = op1(e12,e13)
| e10 = op1(e12,e10) )
& ( e13 = op1(e14,e11)
| e13 = op1(e14,e14)
| e13 = op1(e14,e10)
| e13 = op1(e14,e12)
| e13 = op1(e14,e13) )
& ( e10 = op1(e10,e13)
| e10 = op1(e14,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e11,e13) )
& ( e14 = op1(e10,e14)
| e14 = op1(e13,e14)
| e14 = op1(e11,e14)
| e14 = op1(e12,e14)
| e14 = op1(e14,e14) )
& ( e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e14,e12) )
& ( e12 = op1(e11,e10)
| e12 = op1(e11,e14)
| e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11) )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e14) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e14,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e14 = op1(e11,e10)
| e14 = op1(e11,e12)
| e14 = op1(e11,e14)
| e14 = op1(e11,e11)
| e14 = op1(e11,e13) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| e10 = op1(e14,e12) )
& ( e12 = op1(e12,e14)
| e12 = op1(e10,e14)
| e12 = op1(e11,e14)
| e12 = op1(e14,e14)
| e12 = op1(e13,e14) )
& ( e14 = op1(e12,e11)
| e14 = op1(e12,e10)
| e14 = op1(e12,e12)
| e14 = op1(e12,e14)
| e14 = op1(e12,e13) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e14)
| op1(e10,e10) = e13 )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13)
| e11 = op1(e13,e14) )
& ( e11 = op1(e14,e13)
| e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13) )
& ( e14 = op1(e12,e11)
| e14 = op1(e10,e11)
| e14 = op1(e13,e11)
| e14 = op1(e11,e11)
| e14 = op1(e14,e11) )
& ( e10 = op1(e14,e11)
| e10 = op1(e13,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11) )
& ( e14 = op1(e13,e14)
| e14 = op1(e13,e13)
| e14 = op1(e13,e11)
| e14 = op1(e13,e12)
| e14 = op1(e13,e10) )
& ( e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e14,e11) )
& ( e13 = op1(e10,e13)
| e13 = op1(e14,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e14)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e14)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| e12 = op1(e13,e14)
| e12 = op1(e13,e13) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e14)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12) )
& ( e10 = op1(e10,e12)
| e10 = op1(e10,e13)
| e10 = op1(e10,e14)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) )
& ( e13 = op1(e11,e11)
| e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e14,e11) )
& ( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13)
| e11 = op1(e10,e14) )
& ( e11 = op1(e11,e11)
| e11 = op1(e14,e11)
| e11 = op1(e10,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) )
& ( e10 = op1(e12,e14)
| e10 = op1(e13,e14)
| e10 = op1(e11,e14)
| e10 = op1(e14,e14)
| e10 = op1(e10,e14) )
& ( op1(e10,e10) = e11
| e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| e11 = op1(e14,e10)
| e11 = op1(e12,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4073,plain,
( ~ spl68_661
| ~ spl68_52 ),
inference(avatar_split_clause,[],[f195,f1116,f4070]) ).
fof(f1116,plain,
( spl68_52
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_52])]) ).
fof(f195,plain,
( ~ sP16
| op1(e12,e14) != op1(e14,e12) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( op1(e12,e14) != op1(e14,e12)
& e12 = op1(op1(e12,e14),e14)
& e14 != op1(op1(e12,e14),e12) )
| ~ sP16 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( op1(e12,e14) != op1(e14,e12)
& e12 = op1(op1(e12,e14),e14)
& e14 != op1(op1(e12,e14),e12) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f4066,plain,
( spl68_62
| spl68_59
| ~ spl68_660
| spl68_54
| spl68_55
| spl68_48
| spl68_47
| spl68_43
| spl68_41
| spl68_44
| spl68_45
| spl68_61
| spl68_51
| spl68_58
| spl68_52
| spl68_60
| spl68_33
| spl68_40
| spl68_49
| spl68_46
| spl68_57
| spl68_50
| spl68_11
| spl68_56
| spl68_53 ),
inference(avatar_split_clause,[],[f246,f1120,f1132,f941,f1108,f1136,f1092,f1104,f1068,f1038,f1148,f1116,f1140,f1112,f1152,f1088,f1084,f1072,f1080,f1096,f1100,f1128,f1124,f4063,f1144,f1156]) ).
fof(f1156,plain,
( spl68_62
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_62])]) ).
fof(f1124,plain,
( spl68_54
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_54])]) ).
fof(f1128,plain,
( spl68_55
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_55])]) ).
fof(f1100,plain,
( spl68_48
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_48])]) ).
fof(f1096,plain,
( spl68_47
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_47])]) ).
fof(f1072,plain,
( spl68_41
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_41])]) ).
fof(f1084,plain,
( spl68_44
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_44])]) ).
fof(f1088,plain,
( spl68_45
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_45])]) ).
fof(f1112,plain,
( spl68_51
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_51])]) ).
fof(f1140,plain,
( spl68_58
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_58])]) ).
fof(f1148,plain,
( spl68_60
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_60])]) ).
fof(f1038,plain,
( spl68_33
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_33])]) ).
fof(f1068,plain,
( spl68_40
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_40])]) ).
fof(f1136,plain,
( spl68_57
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_57])]) ).
fof(f1108,plain,
( spl68_50
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_50])]) ).
fof(f1132,plain,
( spl68_56
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_56])]) ).
fof(f1120,plain,
( spl68_53
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_53])]) ).
fof(f246,plain,
( sP18
| sP12
| sP4
| sP1
| sP22
| sP6
| sP19
| sP7
| sP13
| sP5
| sP16
| sP21
| sP14
| sP11
| sP10
| sP8
| sP3
| sP23
| sP9
| sP0
| sP2
| sP15
| op1(e10,e14) != op1(e14,e10)
| sP20
| sP17 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( op1(e10,e14) != op1(e14,e10)
& e14 != op1(op1(e10,e14),e10)
& e10 = op1(op1(e10,e14),e14) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f12,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24]) ).
fof(f24,plain,
( ( e14 = op1(op1(e14,e14),e14)
& e14 != op1(op1(e14,e14),e14)
& op1(e14,e14) != op1(e14,e14) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,plain,
( ( e14 = op1(op1(e14,e12),e12)
& op1(e12,e14) != op1(e14,e12)
& e12 != op1(op1(e14,e12),e14) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f26,plain,
( ( e12 != op1(op1(e12,e12),e12)
& op1(e12,e12) != op1(e12,e12)
& e12 = op1(op1(e12,e12),e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f27,plain,
( ( e10 = op1(op1(e10,e12),e12)
& e12 != op1(op1(e10,e12),e10)
& op1(e10,e12) != op1(e12,e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f29,plain,
( ( op1(e10,e13) != op1(e13,e10)
& e10 != op1(op1(e13,e10),e13)
& e13 = op1(op1(e13,e10),e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f31,plain,
( ( e14 = op1(op1(e14,e13),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 != op1(op1(e14,e13),e14) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f32,plain,
( ( e11 != op1(op1(e14,e11),e14)
& op1(e11,e14) != op1(e14,e11)
& e14 = op1(op1(e14,e11),e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f33,plain,
( ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& op1(e13,e13) != op1(e13,e13) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f34,plain,
( ( e10 = op1(op1(e10,e13),e13)
& op1(e10,e13) != op1(e13,e10)
& e13 != op1(op1(e10,e13),e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f36,plain,
( ( e11 != op1(op1(e13,e11),e13)
& e13 = op1(op1(e13,e11),e11)
& op1(e11,e13) != op1(e13,e11) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f37,plain,
( ( op1(e11,e12) != op1(e12,e11)
& e11 != op1(op1(e12,e11),e12)
& e12 = op1(op1(e12,e11),e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f38,plain,
( ( e11 = op1(op1(e11,e12),e12)
& e12 != op1(op1(e11,e12),e11)
& op1(e11,e12) != op1(e12,e11) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f39,plain,
( ( op1(e11,e13) != op1(e13,e11)
& e13 != op1(op1(e11,e13),e11)
& e11 = op1(op1(e11,e13),e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f41,plain,
( ( e10 != op1(op1(e10,e10),e10)
& op1(e10,e10) != op1(e10,e10)
& e10 = op1(op1(e10,e10),e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f42,plain,
( ( e10 != op1(op1(e12,e10),e12)
& op1(e10,e12) != op1(e12,e10)
& e12 = op1(op1(e12,e10),e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f45,plain,
( ( e12 != op1(op1(e13,e12),e13)
& e13 = op1(op1(e13,e12),e12)
& op1(e12,e13) != op1(e13,e12) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f46,plain,
( ( e11 = op1(op1(e11,e10),e10)
& e10 != op1(op1(e11,e10),e11)
& op1(e10,e11) != op1(e11,e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f12,axiom,
( ( op1(e10,e14) != op1(e14,e10)
& e14 != op1(op1(e10,e14),e10)
& e10 = op1(op1(e10,e14),e14) )
| ( e11 != op1(op1(e11,e11),e11)
& e11 = op1(op1(e11,e11),e11)
& op1(e11,e11) != op1(e11,e11) )
| ( e11 = op1(op1(e11,e10),e10)
& e10 != op1(op1(e11,e10),e11)
& op1(e10,e11) != op1(e11,e10) )
| ( e12 != op1(op1(e13,e12),e13)
& e13 = op1(op1(e13,e12),e12)
& op1(e12,e13) != op1(e13,e12) )
| ( e11 != op1(op1(e10,e11),e10)
& op1(e10,e11) != op1(e11,e10)
& e10 = op1(op1(e10,e11),e11) )
| ( e12 = op1(op1(e12,e13),e13)
& op1(e12,e13) != op1(e13,e12)
& e13 != op1(op1(e12,e13),e12) )
| ( e10 != op1(op1(e12,e10),e12)
& op1(e10,e12) != op1(e12,e10)
& e12 = op1(op1(e12,e10),e10) )
| ( e10 != op1(op1(e10,e10),e10)
& op1(e10,e10) != op1(e10,e10)
& e10 = op1(op1(e10,e10),e10) )
| ( op1(e12,e14) != op1(e14,e12)
& e12 = op1(op1(e12,e14),e14)
& e14 != op1(op1(e12,e14),e12) )
| ( op1(e11,e13) != op1(e13,e11)
& e13 != op1(op1(e11,e13),e11)
& e11 = op1(op1(e11,e13),e13) )
| ( e11 = op1(op1(e11,e12),e12)
& e12 != op1(op1(e11,e12),e11)
& op1(e11,e12) != op1(e12,e11) )
| ( op1(e11,e12) != op1(e12,e11)
& e11 != op1(op1(e12,e11),e12)
& e12 = op1(op1(e12,e11),e11) )
| ( e11 != op1(op1(e13,e11),e13)
& e13 = op1(op1(e13,e11),e11)
& op1(e11,e13) != op1(e13,e11) )
| ( e10 != op1(op1(e14,e10),e14)
& e14 = op1(op1(e14,e10),e10)
& op1(e10,e14) != op1(e14,e10) )
| ( e10 = op1(op1(e10,e13),e13)
& op1(e10,e13) != op1(e13,e10)
& e13 != op1(op1(e10,e13),e10) )
| ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& op1(e13,e13) != op1(e13,e13) )
| ( e11 != op1(op1(e14,e11),e14)
& op1(e11,e14) != op1(e14,e11)
& e14 = op1(op1(e14,e11),e11) )
| ( e14 = op1(op1(e14,e13),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 != op1(op1(e14,e13),e14) )
| ( e14 != op1(op1(e13,e14),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 = op1(op1(e13,e14),e14) )
| ( op1(e10,e13) != op1(e13,e10)
& e10 != op1(op1(e13,e10),e13)
& e13 = op1(op1(e13,e10),e10) )
| ( e11 = op1(op1(e11,e14),e14)
& e14 != op1(op1(e11,e14),e11)
& op1(e11,e14) != op1(e14,e11) )
| ( e10 = op1(op1(e10,e12),e12)
& e12 != op1(op1(e10,e12),e10)
& op1(e10,e12) != op1(e12,e10) )
| ( e12 != op1(op1(e12,e12),e12)
& op1(e12,e12) != op1(e12,e12)
& e12 = op1(op1(e12,e12),e12) )
| ( e14 = op1(op1(e14,e12),e12)
& op1(e12,e14) != op1(e14,e12)
& e12 != op1(op1(e14,e12),e14) )
| ( e14 = op1(op1(e14,e14),e14)
& e14 != op1(op1(e14,e14),e14)
& op1(e14,e14) != op1(e14,e14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f4051,plain,
( spl68_466
| spl68_83
| spl68_357
| spl68_458
| spl68_615 ),
inference(avatar_split_clause,[],[f290,f3770,f2889,f2435,f1248,f2927]) ).
fof(f290,plain,
( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e24 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4000,plain,
( spl68_620
| spl68_83
| spl68_355
| spl68_207
| spl68_570 ),
inference(avatar_split_clause,[],[f744,f3513,f1776,f2426,f1248,f3795]) ).
fof(f744,plain,
( e24 = op2(e20,e23)
| e24 = op2(e24,e23)
| e24 = op2(e23,e23)
| e24 = op2(e21,e23)
| e24 = op2(e22,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3982,plain,
( spl68_391
| spl68_410
| spl68_195
| spl68_636
| spl68_469 ),
inference(avatar_split_clause,[],[f585,f2948,f3903,f1722,f2666,f2577]) ).
fof(f585,plain,
( e10 = op1(e14,e14)
| e10 = op1(e14,e12)
| e10 = op1(e14,e10)
| e10 = op1(e14,e11)
| e10 = op1(e14,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3972,plain,
( ~ spl68_493
| spl68_646 ),
inference(avatar_split_clause,[],[f635,f3969,f3073]) ).
fof(f3073,plain,
( spl68_493
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_493])]) ).
fof(f635,plain,
( e22 = op2(op2(e22,e21),e21)
| ~ sP53 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e21 != op2(op2(e22,e21),e22)
& e22 = op2(op2(e22,e21),e21)
& op2(e21,e22) != op2(e22,e21) )
| ~ sP53 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e21 != op2(op2(e22,e21),e22)
& e22 = op2(op2(e22,e21),e21)
& op2(e21,e22) != op2(e22,e21) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f3952,plain,
( ~ spl68_170
| ~ spl68_643 ),
inference(avatar_split_clause,[],[f616,f3949,f1612]) ).
fof(f1612,plain,
( spl68_170
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_170])]) ).
fof(f616,plain,
( e22 != op2(op2(e24,e22),e24)
| ~ sP59 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e24 = op2(op2(e24,e22),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 != op2(op2(e24,e22),e24) )
| ~ sP59 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e24 = op2(op2(e24,e22),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 != op2(op2(e24,e22),e24) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f3941,plain,
~ spl68_62,
inference(avatar_split_clause,[],[f889,f1156]) ).
fof(f889,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f191]) ).
fof(f191,plain,
( ~ sP17
| op1(e10,e10) != op1(e10,e10) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e10 != op1(op1(e10,e10),e10)
& op1(e10,e10) != op1(e10,e10)
& e10 = op1(op1(e10,e10),e10) )
| ~ sP17 ),
inference(nnf_transformation,[],[f41]) ).
fof(f3932,plain,
~ spl68_147,
inference(avatar_split_clause,[],[f3931,f1518]) ).
fof(f1518,plain,
( spl68_147
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_147])]) ).
fof(f3931,plain,
~ sP24,
inference(subsumption_resolution,[],[f493,f165]) ).
fof(f493,plain,
( ~ sP24
| e23 != h4(e13) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e23 != h4(e10)
& e23 != h4(e14)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP24 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e23 != h4(e10)
& e23 != h4(e14)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f3907,plain,
~ spl68_47,
inference(avatar_split_clause,[],[f890,f1096]) ).
fof(f890,plain,
~ sP9,
inference(trivial_inequality_removal,[],[f214]) ).
fof(f214,plain,
( ~ sP9
| op1(e13,e13) != op1(e13,e13) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& op1(e13,e13) != op1(e13,e13) )
| ~ sP9 ),
inference(nnf_transformation,[],[f33]) ).
fof(f3906,plain,
( spl68_140
| spl68_491
| spl68_586
| spl68_66
| spl68_636 ),
inference(avatar_split_clause,[],[f708,f3903,f1174,f3598,f3062,f1488]) ).
fof(f708,plain,
( e10 = op1(e14,e12)
| e13 = op1(e14,e12)
| e14 = op1(e14,e12)
| e11 = op1(e14,e12)
| e12 = op1(e14,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3901,plain,
~ spl68_48,
inference(avatar_split_clause,[],[f891,f1100]) ).
fof(f891,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( op1(e14,e14) != op1(e14,e14)
| ~ sP0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e14 = op1(op1(e14,e14),e14)
& e14 != op1(op1(e14,e14),e14)
& op1(e14,e14) != op1(e14,e14) )
| ~ sP0 ),
inference(nnf_transformation,[],[f24]) ).
fof(f3900,plain,
( ~ spl68_40
| ~ spl68_635 ),
inference(avatar_split_clause,[],[f221,f3897,f1068]) ).
fof(f221,plain,
( op1(e13,e14) != op1(e14,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e14 = op1(op1(e14,e13),e13)
& op1(e13,e14) != op1(e14,e13)
& e13 != op1(op1(e14,e13),e14) )
| ~ sP7 ),
inference(nnf_transformation,[],[f31]) ).
fof(f3893,plain,
( ~ spl68_41
| ~ spl68_634 ),
inference(avatar_split_clause,[],[f233,f3890,f1072]) ).
fof(f233,plain,
( e12 != op1(op1(e10,e12),e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e10 = op1(op1(e10,e12),e12)
& e12 != op1(op1(e10,e12),e10)
& op1(e10,e12) != op1(e12,e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f27]) ).
fof(f3882,plain,
spl68_552,
inference(avatar_split_clause,[],[f3881,f3410]) ).
fof(f3881,plain,
e14 = op1(e13,e11),
inference(forward_demodulation,[],[f529,f528]) ).
fof(f529,plain,
e14 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f14]) ).
fof(f3870,plain,
( ~ spl68_44
| spl68_630 ),
inference(avatar_split_clause,[],[f217,f3867,f1084]) ).
fof(f217,plain,
( e14 = op1(op1(e14,e11),e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e11 != op1(op1(e14,e11),e14)
& op1(e11,e14) != op1(e14,e11)
& e14 = op1(op1(e14,e11),e11) )
| ~ sP8 ),
inference(nnf_transformation,[],[f32]) ).
fof(f3865,plain,
( spl68_392
| spl68_293
| spl68_2
| spl68_100 ),
inference(avatar_split_clause,[],[f3864,f1322,f903,f2150,f2581]) ).
fof(f3864,plain,
( e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e14 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f712,f2678]) ).
fof(f2678,plain,
e11 != op1(e11,e13),
inference(forward_demodulation,[],[f813,f528]) ).
fof(f813,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f712,plain,
( e14 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3858,plain,
( spl68_225
| spl68_209
| spl68_76
| spl68_174
| spl68_628 ),
inference(avatar_split_clause,[],[f722,f3855,f1631,f1218,f1784,f1854]) ).
fof(f722,plain,
( e21 = op2(e24,e24)
| e21 = op2(e24,e21)
| e21 = op2(e24,e20)
| e21 = op2(e24,e23)
| e21 = op2(e24,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3815,plain,
( ~ spl68_623
| ~ spl68_255 ),
inference(avatar_split_clause,[],[f612,f1991,f3812]) ).
fof(f1991,plain,
( spl68_255
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_255])]) ).
fof(f612,plain,
( ~ sP61
| e23 != op2(op2(e22,e23),e22) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e23 != op2(op2(e22,e23),e22)
& op2(e22,e23) != op2(e23,e22)
& e22 = op2(op2(e22,e23),e23) )
| ~ sP61 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e23 != op2(op2(e22,e23),e22)
& op2(e22,e23) != op2(e23,e22)
& e22 = op2(op2(e22,e23),e23) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f3800,plain,
( ~ spl68_559
| ~ spl68_54 ),
inference(avatar_split_clause,[],[f198,f1124,f3452]) ).
fof(f198,plain,
( ~ sP15
| op1(e11,e13) != op1(e13,e11) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( op1(e11,e13) != op1(e13,e11)
& e13 != op1(op1(e11,e13),e11)
& e11 = op1(op1(e11,e13),e13) )
| ~ sP15 ),
inference(nnf_transformation,[],[f39]) ).
fof(f3799,plain,
~ spl68_14,
inference(avatar_split_clause,[],[f892,f954]) ).
fof(f954,plain,
( spl68_14
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_14])]) ).
fof(f892,plain,
~ sP47,
inference(trivial_inequality_removal,[],[f652]) ).
fof(f652,plain,
( op2(e24,e24) != op2(e24,e24)
| ~ sP47 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e24 != op2(op2(e24,e24),e24)
& e24 = op2(op2(e24,e24),e24)
& op2(e24,e24) != op2(e24,e24) )
| ~ sP47 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e24 != op2(op2(e24,e24),e24)
& e24 = op2(op2(e24,e24),e24)
& op2(e24,e24) != op2(e24,e24) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f3686,plain,
( ~ spl68_245
| ~ spl68_601 ),
inference(avatar_split_clause,[],[f624,f3683,f1946]) ).
fof(f1946,plain,
( spl68_245
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_245])]) ).
fof(f624,plain,
( op2(e20,e21) != op2(e21,e20)
| ~ sP57 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( op2(e20,e21) != op2(e21,e20)
& e21 = op2(op2(e21,e20),e20)
& e20 != op2(op2(e21,e20),e21) )
| ~ sP57 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( op2(e20,e21) != op2(e21,e20)
& e21 = op2(op2(e21,e20),e20)
& e20 != op2(op2(e21,e20),e21) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f3673,plain,
~ spl68_55,
inference(avatar_split_clause,[],[f893,f1128]) ).
fof(f893,plain,
~ sP2,
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( ~ sP2
| op1(e12,e12) != op1(e12,e12) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e12 != op1(op1(e12,e12),e12)
& op1(e12,e12) != op1(e12,e12)
& e12 = op1(op1(e12,e12),e12) )
| ~ sP2 ),
inference(nnf_transformation,[],[f26]) ).
fof(f3657,plain,
( spl68_70
| spl68_429
| spl68_596
| spl68_502
| spl68_96 ),
inference(avatar_split_clause,[],[f3652,f1304,f3113,f3654,f2755,f1192]) ).
fof(f3652,plain,
( e20 = op2(e22,e21)
| e20 = h2(e11)
| e20 = op2(e20,e21)
| e20 = op2(e24,e21)
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[],[f729,f262]) ).
fof(f729,plain,
( e20 = op2(e24,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3635,plain,
( ~ spl68_54
| spl68_593 ),
inference(avatar_split_clause,[],[f196,f3632,f1124]) ).
fof(f196,plain,
( e11 = op1(op1(e11,e13),e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f103]) ).
fof(f3615,plain,
( spl68_210
| spl68_466
| spl68_588
| spl68_231
| spl68_589 ),
inference(avatar_split_clause,[],[f730,f3612,f1879,f3608,f2927,f1788]) ).
fof(f730,plain,
( e20 = op2(e20,e23)
| e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e24,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3606,plain,
( ~ spl68_450
| spl68_587 ),
inference(avatar_split_clause,[],[f658,f3603,f2852]) ).
fof(f2852,plain,
( spl68_450
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_450])]) ).
fof(f658,plain,
( e24 = op2(op2(e24,e21),e21)
| ~ sP45 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e21 != op2(op2(e24,e21),e24)
& op2(e21,e24) != op2(e24,e21)
& e24 = op2(op2(e24,e21),e21) )
| ~ sP45 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e21 != op2(op2(e24,e21),e24)
& op2(e21,e24) != op2(e24,e21)
& e24 = op2(op2(e24,e21),e21) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f3544,plain,
( spl68_146
| spl68_81
| spl68_575
| spl68_229
| spl68_401 ),
inference(avatar_split_clause,[],[f3539,f2622,f1870,f3541,f1240,f1514]) ).
fof(f3539,plain,
( e24 = op2(e20,e22)
| e24 = op2(e24,e22)
| e24 = op2(e22,e22)
| e24 = op2(e21,e22)
| e24 = h4(e10) ),
inference(forward_demodulation,[],[f761,f2937]) ).
fof(f761,plain,
( e24 = op2(e22,e22)
| e24 = op2(e20,e22)
| e24 = op2(e23,e22)
| e24 = op2(e21,e22)
| e24 = op2(e24,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3537,plain,
( ~ spl68_495
| spl68_574 ),
inference(avatar_split_clause,[],[f644,f3534,f3081]) ).
fof(f644,plain,
( e21 = op2(op2(e21,e23),e23)
| ~ sP50 ),
inference(cnf_transformation,[],[f156]) ).
fof(f3505,plain,
( ~ spl68_568
| ~ spl68_389 ),
inference(avatar_split_clause,[],[f608,f2567,f3502]) ).
fof(f2567,plain,
( spl68_389
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_389])]) ).
fof(f608,plain,
( ~ sP62
| op2(e20,e24) != op2(e24,e20) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e24 = op2(op2(e24,e20),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 != op2(op2(e24,e20),e24) )
| ~ sP62 ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e24 = op2(op2(e24,e20),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 != op2(op2(e24,e20),e24) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f3478,plain,
~ spl68_246,
inference(avatar_split_clause,[],[f894,f1951]) ).
fof(f1951,plain,
( spl68_246
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_246])]) ).
fof(f894,plain,
~ sP52,
inference(trivial_inequality_removal,[],[f637]) ).
fof(f637,plain,
( op2(e21,e21) != op2(e21,e21)
| ~ sP52 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& op2(e21,e21) != op2(e21,e21) )
| ~ sP52 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& op2(e21,e21) != op2(e21,e21) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f3477,plain,
( ~ spl68_50
| spl68_563 ),
inference(avatar_split_clause,[],[f240,f3474,f1108]) ).
fof(f240,plain,
( e14 = op1(op1(e14,e12),e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e14 = op1(op1(e14,e12),e12)
& op1(e12,e14) != op1(e14,e12)
& e12 != op1(op1(e14,e12),e14) )
| ~ sP1 ),
inference(nnf_transformation,[],[f25]) ).
fof(f3466,plain,
( ~ spl68_561
| ~ spl68_297 ),
inference(avatar_split_clause,[],[f3461,f2170,f3463]) ).
fof(f2170,plain,
( spl68_297
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_297])]) ).
fof(f3461,plain,
( ~ sP63
| op2(e22,e23) != h4(e10) ),
inference(forward_demodulation,[],[f606,f2937]) ).
fof(f606,plain,
( ~ sP63
| op2(e22,e23) != op2(e23,e22) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( op2(e22,e23) != op2(e23,e22)
& e23 = op2(op2(e23,e22),e22)
& e22 != op2(op2(e23,e22),e23) )
| ~ sP63 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( op2(e22,e23) != op2(e23,e22)
& e23 = op2(op2(e23,e22),e22)
& e22 != op2(op2(e23,e22),e23) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f3455,plain,
( ~ spl68_56
| ~ spl68_559 ),
inference(avatar_split_clause,[],[f205,f3452,f1132]) ).
fof(f205,plain,
( op1(e11,e13) != op1(e13,e11)
| ~ sP12 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e11 != op1(op1(e13,e11),e13)
& e13 = op1(op1(e13,e11),e11)
& op1(e11,e13) != op1(e13,e11) )
| ~ sP12 ),
inference(nnf_transformation,[],[f36]) ).
fof(f3450,plain,
( ~ spl68_558
| ~ spl68_53 ),
inference(avatar_split_clause,[],[f188,f1120,f3447]) ).
fof(f188,plain,
( ~ sP18
| op1(e10,e12) != op1(e12,e10) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e10 != op1(op1(e12,e10),e12)
& op1(e10,e12) != op1(e12,e10)
& e12 = op1(op1(e12,e10),e10) )
| ~ sP18 ),
inference(nnf_transformation,[],[f42]) ).
fof(f3381,plain,
( spl68_491
| spl68_411
| spl68_213
| spl68_194 ),
inference(avatar_split_clause,[],[f3380,f1718,f1801,f2670,f3062]) ).
fof(f3380,plain,
( e11 = op1(e14,e10)
| e11 = op1(e14,e14)
| e11 = op1(e14,e11)
| e11 = op1(e14,e12) ),
inference(subsumption_resolution,[],[f583,f1312]) ).
fof(f1312,plain,
e11 != op1(e14,e13),
inference(forward_demodulation,[],[f815,f528]) ).
fof(f815,plain,
op1(e13,e13) != op1(e14,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f583,plain,
( e11 = op1(e14,e11)
| e11 = op1(e14,e13)
| e11 = op1(e14,e10)
| e11 = op1(e14,e14)
| e11 = op1(e14,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3378,plain,
( ~ spl68_436
| ~ spl68_45 ),
inference(avatar_split_clause,[],[f212,f1088,f2788]) ).
fof(f212,plain,
( ~ sP10
| op1(e10,e13) != op1(e13,e10) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e10 = op1(op1(e10,e13),e13)
& op1(e10,e13) != op1(e13,e10)
& e13 != op1(op1(e10,e13),e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f34]) ).
fof(f3353,plain,
~ spl68_468,
inference(avatar_split_clause,[],[f876,f2943]) ).
fof(f876,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f3346,plain,
~ spl68_212,
inference(avatar_split_clause,[],[f3345,f1797]) ).
fof(f1797,plain,
( spl68_212
<=> e11 = op1(e13,e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl68_212])]) ).
fof(f3345,plain,
e11 != op1(e13,e14),
inference(forward_demodulation,[],[f790,f528]) ).
fof(f790,plain,
op1(e13,e13) != op1(e13,e14),
inference(cnf_transformation,[],[f7]) ).
fof(f3344,plain,
( ~ spl68_541
| ~ spl68_498 ),
inference(avatar_split_clause,[],[f599,f3093,f3341]) ).
fof(f3093,plain,
( spl68_498
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_498])]) ).
fof(f599,plain,
( ~ sP65
| op2(e21,e23) != op2(e23,e21) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e21 != op2(op2(e23,e21),e23)
& op2(e21,e23) != op2(e23,e21)
& e23 = op2(op2(e23,e21),e21) )
| ~ sP65 ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e21 != op2(op2(e23,e21),e23)
& op2(e21,e23) != op2(e23,e21)
& e23 = op2(op2(e23,e21),e21) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f3333,plain,
( ~ spl68_58
| spl68_539 ),
inference(avatar_split_clause,[],[f179,f3330,f1140]) ).
fof(f179,plain,
( e13 = op1(op1(e13,e12),e12)
| ~ sP21 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e12 != op1(op1(e13,e12),e13)
& e13 = op1(op1(e13,e12),e12)
& op1(e12,e13) != op1(e13,e12) )
| ~ sP21 ),
inference(nnf_transformation,[],[f45]) ).
fof(f3328,plain,
~ spl68_524,
inference(avatar_split_clause,[],[f534,f3246]) ).
fof(f534,plain,
e11 != e14,
inference(cnf_transformation,[],[f9]) ).
fof(f3325,plain,
( spl68_82
| spl68_465
| spl68_538
| spl68_249
| spl68_358 ),
inference(avatar_split_clause,[],[f272,f2439,f1964,f3322,f2923,f1244]) ).
fof(f272,plain,
( e22 = op2(e21,e24)
| e23 = op2(e21,e24)
| e21 = op2(e21,e24)
| e20 = op2(e21,e24)
| e24 = op2(e21,e24) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3289,plain,
( spl68_532
| ~ spl68_498 ),
inference(avatar_split_clause,[],[f598,f3093,f3286]) ).
fof(f598,plain,
( ~ sP65
| e23 = op2(op2(e23,e21),e21) ),
inference(cnf_transformation,[],[f141]) ).
fof(f3284,plain,
( ~ spl68_494
| ~ spl68_342 ),
inference(avatar_split_clause,[],[f662,f2366,f3077]) ).
fof(f2366,plain,
( spl68_342
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_342])]) ).
fof(f662,plain,
( ~ sP44
| op2(e20,e23) != op2(e23,e20) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e23 != op2(op2(e20,e23),e20)
& op2(e20,e23) != op2(e23,e20)
& e20 = op2(op2(e20,e23),e23) )
| ~ sP44 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e23 != op2(op2(e20,e23),e20)
& op2(e20,e23) != op2(e23,e20)
& e20 = op2(op2(e20,e23),e23) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f3278,plain,
( spl68_530
| ~ spl68_484 ),
inference(avatar_split_clause,[],[f592,f3025,f3275]) ).
fof(f3025,plain,
( spl68_484
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_484])]) ).
fof(f592,plain,
( ~ sP67
| e22 = op2(op2(e22,e24),e24) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e24 != op2(op2(e22,e24),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 = op2(op2(e22,e24),e24) )
| ~ sP67 ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e24 != op2(op2(e22,e24),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 = op2(op2(e22,e24),e24) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f3253,plain,
( spl68_472
| spl68_293
| spl68_524
| spl68_525
| spl68_486 ),
inference(avatar_split_clause,[],[f3244,f3035,f3250,f3246,f2150,f2963]) ).
fof(f3244,plain,
( e14 = op1(e14,e13)
| e14 = op1(e12,e13)
| e11 = e14
| e14 = op1(e11,e13)
| e14 = op1(e10,e13) ),
inference(forward_demodulation,[],[f572,f528]) ).
fof(f572,plain,
( e14 = op1(e13,e13)
| e14 = op1(e11,e13)
| e14 = op1(e12,e13)
| e14 = op1(e10,e13)
| e14 = op1(e14,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3243,plain,
( spl68_522
| spl68_352
| spl68_192
| spl68_523
| spl68_504 ),
inference(avatar_split_clause,[],[f692,f3122,f3240,f1709,f2413,f3236]) ).
fof(f692,plain,
( e10 = op1(e12,e11)
| e14 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3234,plain,
~ spl68_243,
inference(avatar_split_clause,[],[f895,f1936]) ).
fof(f1936,plain,
( spl68_243
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_243])]) ).
fof(f895,plain,
~ sP58,
inference(trivial_inequality_removal,[],[f619]) ).
fof(f619,plain,
( op2(e20,e20) != op2(e20,e20)
| ~ sP58 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20)
& op2(e20,e20) != op2(e20,e20) )
| ~ sP58 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20)
& op2(e20,e20) != op2(e20,e20) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f3227,plain,
( spl68_354
| spl68_409
| spl68_456
| spl68_71
| spl68_407 ),
inference(avatar_split_clause,[],[f3226,f2648,f1196,f2880,f2661,f2422]) ).
fof(f3226,plain,
( e22 = op2(e23,e24)
| e22 = op2(e23,e21)
| e22 = h4(e10)
| e22 = op2(e23,e20)
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[],[f737,f2937]) ).
fof(f737,plain,
( e22 = op2(e23,e21)
| e22 = op2(e23,e23)
| e22 = op2(e23,e24)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f3214,plain,
( ~ spl68_496
| spl68_518 ),
inference(avatar_split_clause,[],[f647,f3211,f3085]) ).
fof(f3085,plain,
( spl68_496
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_496])]) ).
fof(f647,plain,
( e21 = op2(op2(e21,e22),e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( op2(e21,e22) != op2(e22,e21)
& e21 = op2(op2(e21,e22),e22)
& e22 != op2(op2(e21,e22),e21) )
| ~ sP49 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( op2(e21,e22) != op2(e22,e21)
& e21 = op2(op2(e21,e22),e22)
& e22 != op2(op2(e21,e22),e21) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f3203,plain,
~ spl68_189,
inference(avatar_split_clause,[],[f3202,f1697]) ).
fof(f3202,plain,
e11 != op1(e12,e13),
inference(forward_demodulation,[],[f832,f528]) ).
fof(f832,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f3186,plain,
( ~ spl68_142
| ~ spl68_514 ),
inference(avatar_split_clause,[],[f482,f3183,f1498]) ).
fof(f1498,plain,
( spl68_142
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_142])]) ).
fof(f482,plain,
( e22 != h4(e12)
| ~ sP27 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e14)
& e22 != h4(e13)
& e22 != h4(e10) )
| ~ sP27 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e14)
& e22 != h4(e13)
& e22 != h4(e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f3171,plain,
spl68_300,
inference(avatar_split_clause,[],[f3170,f2184]) ).
fof(f3170,plain,
e10 = op1(e13,e12),
inference(backward_demodulation,[],[f3126,f3169]) ).
fof(f3126,plain,
e10 = op1(e13,op1(op1(e13,e11),e13)),
inference(forward_demodulation,[],[f530,f528]) ).
fof(f530,plain,
e10 = op1(e13,op1(op1(e13,op1(e13,e13)),e13)),
inference(cnf_transformation,[],[f14]) ).
fof(f3168,plain,
spl68_473,
inference(avatar_split_clause,[],[f3167,f2979]) ).
fof(f3167,plain,
e24 = h4(e14),
inference(forward_demodulation,[],[f169,f167]) ).
fof(f169,plain,
e24 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f15]) ).
fof(f3125,plain,
( spl68_470
| spl68_410
| spl68_503
| spl68_504
| spl68_180 ),
inference(avatar_split_clause,[],[f555,f1657,f3122,f3118,f2666,f2953]) ).
fof(f555,plain,
( e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11)
| e10 = op1(e14,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3096,plain,
( spl68_14
| spl68_492
| spl68_484
| spl68_342
| spl68_245
| spl68_493
| ~ spl68_494
| spl68_243
| spl68_170
| spl68_450
| spl68_91
| spl68_80
| spl68_413
| spl68_255
| spl68_495
| spl68_297
| spl68_177
| spl68_496
| spl68_205
| spl68_497
| spl68_498
| spl68_246
| spl68_389 ),
inference(avatar_split_clause,[],[f3067,f2567,f1951,f3093,f3089,f1767,f3085,f1644,f2170,f3081,f1991,f2680,f1235,f1282,f2852,f1612,f1936,f3077,f3073,f1946,f2366,f3025,f3069,f954]) ).
fof(f1282,plain,
( spl68_91
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_91])]) ).
fof(f2680,plain,
( spl68_413
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_413])]) ).
fof(f1644,plain,
( spl68_177
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_177])]) ).
fof(f1767,plain,
( spl68_205
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_205])]) ).
fof(f3067,plain,
( sP62
| sP52
| sP65
| sP56
| sP66
| sP49
| sP46
| sP63
| sP50
| sP61
| sP64
| sP60
| sP48
| sP45
| sP59
| sP58
| op2(e20,e23) != op2(e23,e20)
| sP53
| sP57
| sP44
| sP67
| sP55
| sP47 ),
inference(subsumption_resolution,[],[f3066,f896]) ).
fof(f896,plain,
~ sP54,
inference(trivial_inequality_removal,[],[f631]) ).
fof(f631,plain,
( ~ sP54
| op2(e22,e22) != op2(e22,e22) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e22 != op2(op2(e22,e22),e22)
& e22 = op2(op2(e22,e22),e22)
& op2(e22,e22) != op2(e22,e22) )
| ~ sP54 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e22 != op2(op2(e22,e22),e22)
& e22 = op2(op2(e22,e22),e22)
& op2(e22,e22) != op2(e22,e22) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f3066,plain,
( sP48
| sP53
| sP66
| sP56
| sP62
| sP67
| sP59
| sP47
| sP63
| sP54
| op2(e20,e23) != op2(e23,e20)
| sP50
| sP57
| sP58
| sP49
| sP61
| sP60
| sP44
| sP65
| sP64
| sP45
| sP55
| sP52
| sP46 ),
inference(subsumption_resolution,[],[f665,f897]) ).
fof(f897,plain,
~ sP51,
inference(trivial_inequality_removal,[],[f642]) ).
fof(f642,plain,
( op2(e23,e23) != op2(e23,e23)
| ~ sP51 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( op2(e23,e23) != op2(e23,e23)
& e23 != op2(op2(e23,e23),e23)
& e23 = op2(op2(e23,e23),e23) )
| ~ sP51 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( op2(e23,e23) != op2(e23,e23)
& e23 != op2(op2(e23,e23),e23)
& e23 = op2(op2(e23,e23),e23) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f665,plain,
( sP46
| sP48
| sP51
| sP62
| sP61
| sP64
| sP60
| sP47
| sP55
| sP59
| sP53
| op2(e20,e23) != op2(e23,e20)
| sP57
| sP63
| sP67
| sP50
| sP54
| sP58
| sP66
| sP44
| sP56
| sP52
| sP45
| sP49
| sP65 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e23 = op2(op2(e23,e20),e20)
& op2(e20,e23) != op2(e23,e20)
& e20 != op2(op2(e23,e20),e23) )
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44 ),
inference(definition_folding,[],[f13,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70]) ).
fof(f72,plain,
( ( op2(e20,e22) != op2(e22,e20)
& e20 = op2(op2(e20,e22),e22)
& e22 != op2(op2(e20,e22),e20) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f74,plain,
( ( e22 = op2(op2(e22,e20),e20)
& e20 != op2(op2(e22,e20),e22)
& op2(e20,e22) != op2(e22,e20) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f90,plain,
( ( op2(e21,e24) != op2(e24,e21)
& e24 != op2(op2(e21,e24),e21)
& e21 = op2(op2(e21,e24),e24) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f92,plain,
( ( e23 = op2(op2(e23,e24),e24)
& e24 != op2(op2(e23,e24),e23)
& op2(e23,e24) != op2(e24,e23) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f13,axiom,
( ( e23 = op2(op2(e23,e20),e20)
& op2(e20,e23) != op2(e23,e20)
& e20 != op2(op2(e23,e20),e23) )
| ( e24 != op2(op2(e22,e24),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 = op2(op2(e22,e24),e24) )
| ( e23 = op2(op2(e23,e24),e24)
& e24 != op2(op2(e23,e24),e23)
& op2(e23,e24) != op2(e24,e23) )
| ( e21 != op2(op2(e23,e21),e23)
& op2(e21,e23) != op2(e23,e21)
& e23 = op2(op2(e23,e21),e21) )
| ( op2(e21,e24) != op2(e24,e21)
& e24 != op2(op2(e21,e24),e21)
& e21 = op2(op2(e21,e24),e24) )
| ( op2(e22,e23) != op2(e23,e22)
& e23 = op2(op2(e23,e22),e22)
& e22 != op2(op2(e23,e22),e23) )
| ( e24 = op2(op2(e24,e20),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 != op2(op2(e24,e20),e24) )
| ( e23 != op2(op2(e22,e23),e22)
& op2(e22,e23) != op2(e23,e22)
& e22 = op2(op2(e22,e23),e23) )
| ( e24 = op2(op2(e24,e23),e23)
& e23 != op2(op2(e24,e23),e24)
& op2(e23,e24) != op2(e24,e23) )
| ( e24 = op2(op2(e24,e22),e22)
& op2(e22,e24) != op2(e24,e22)
& e22 != op2(op2(e24,e22),e24) )
| ( e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20)
& op2(e20,e20) != op2(e20,e20) )
| ( op2(e20,e21) != op2(e21,e20)
& e21 = op2(op2(e21,e20),e20)
& e20 != op2(op2(e21,e20),e21) )
| ( op2(e20,e21) != op2(e21,e20)
& e20 = op2(op2(e20,e21),e21)
& e21 != op2(op2(e20,e21),e20) )
| ( e24 != op2(op2(e20,e24),e20)
& op2(e20,e24) != op2(e24,e20)
& e20 = op2(op2(e20,e24),e24) )
| ( e22 != op2(op2(e22,e22),e22)
& e22 = op2(op2(e22,e22),e22)
& op2(e22,e22) != op2(e22,e22) )
| ( e21 != op2(op2(e22,e21),e22)
& e22 = op2(op2(e22,e21),e21)
& op2(e21,e22) != op2(e22,e21) )
| ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& op2(e21,e21) != op2(e21,e21) )
| ( op2(e23,e23) != op2(e23,e23)
& e23 != op2(op2(e23,e23),e23)
& e23 = op2(op2(e23,e23),e23) )
| ( e23 != op2(op2(e21,e23),e21)
& e21 = op2(op2(e21,e23),e23)
& op2(e21,e23) != op2(e23,e21) )
| ( op2(e21,e22) != op2(e22,e21)
& e21 = op2(op2(e21,e22),e22)
& e22 != op2(op2(e21,e22),e21) )
| ( e22 = op2(op2(e22,e20),e20)
& e20 != op2(op2(e22,e20),e22)
& op2(e20,e22) != op2(e22,e20) )
| ( e24 != op2(op2(e24,e24),e24)
& e24 = op2(op2(e24,e24),e24)
& op2(e24,e24) != op2(e24,e24) )
| ( op2(e20,e22) != op2(e22,e20)
& e20 = op2(op2(e20,e22),e22)
& e22 != op2(op2(e20,e22),e20) )
| ( e21 != op2(op2(e24,e21),e24)
& op2(e21,e24) != op2(e24,e21)
& e24 = op2(op2(e24,e21),e21) )
| ( e23 != op2(op2(e20,e23),e20)
& op2(e20,e23) != op2(e23,e20)
& e20 = op2(op2(e20,e23),e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f3049,plain,
( ~ spl68_413
| ~ spl68_451 ),
inference(avatar_split_clause,[],[f603,f2856,f2680]) ).
fof(f603,plain,
( op2(e21,e24) != op2(e24,e21)
| ~ sP64 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( op2(e21,e24) != op2(e24,e21)
& e24 != op2(op2(e21,e24),e21)
& e21 = op2(op2(e21,e24),e24) )
| ~ sP64 ),
inference(nnf_transformation,[],[f90]) ).
fof(f3018,plain,
( ~ spl68_161
| spl68_133
| ~ spl68_144
| ~ spl68_153
| ~ spl68_473
| spl68_142
| ~ spl68_162
| ~ spl68_474
| ~ spl68_156
| ~ spl68_475
| ~ spl68_166
| ~ spl68_164
| spl68_63
| ~ spl68_476
| ~ spl68_168
| ~ spl68_148
| ~ spl68_477
| ~ spl68_478
| ~ spl68_167
| ~ spl68_479
| ~ spl68_150
| spl68_147
| ~ spl68_143
| ~ spl68_154
| ~ spl68_480
| ~ spl68_155
| ~ spl68_481
| ~ spl68_151
| ~ spl68_159
| ~ spl68_482 ),
inference(avatar_split_clause,[],[f2977,f3015,f1566,f1534,f3011,f1550,f3007,f1546,f1502,f1518,f1530,f3003,f1598,f2999,f2995,f1522,f1602,f2991,f1161,f1586,f1594,f2987,f1554,f2983,f1578,f1498,f2979,f1542,f1506,f1457,f1574]) ).
fof(f1161,plain,
( spl68_63
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl68_63])]) ).
fof(f2977,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e14)) != op2(e23,h4(e14))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP24
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| e22 != h4(op1(e14,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| op2(e23,e23) != h4(e11)
| sP25
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| sP27
| e24 != h4(e14)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP26
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12)) ),
inference(forward_demodulation,[],[f2976,f528]) ).
fof(f2976,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| e24 != h4(e14)
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| e22 != h4(op1(e14,e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| op2(e23,e23) != h4(op1(e13,e13))
| sP24
| sP27
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e13,e14)) != op2(e23,h4(e14))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| sP26
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP25 ),
inference(forward_demodulation,[],[f2975,f165]) ).
fof(f2975,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| sP25
| sP27
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e13,e14)) != op2(e23,h4(e14))
| e24 != h4(e14)
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| sP26
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| e22 != h4(op1(e14,e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP24
| op2(e23,e23) != h4(op1(e13,e13)) ),
inference(forward_demodulation,[],[f2974,f165]) ).
fof(f2974,plain,
( h4(op1(e13,e14)) != op2(e23,h4(e14))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP26
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| e24 != h4(e14)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| sP25
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| e22 != h4(op1(e14,e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(e23,e23) != h4(op1(e13,e13))
| sP27
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP24
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14)) ),
inference(forward_demodulation,[],[f2973,f165]) ).
fof(f2973,plain,
( h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| e22 != h4(op1(e14,e13))
| sP26
| sP25
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| sP27
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| e24 != h4(e14)
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| sP24
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e13,e14)) != op2(e23,h4(e14)) ),
inference(forward_demodulation,[],[f2972,f165]) ).
fof(f2972,plain,
( e22 != h4(op1(e14,e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| sP27
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| e24 != h4(e14)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP24
| h4(op1(e13,e14)) != op2(e23,h4(e14))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP25
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| sP26
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[],[f2971,f165]) ).
fof(f2971,plain,
( h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| e22 != h4(op1(e14,e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP25
| e24 != h4(e14)
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| sP27
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| sP26
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP24
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[],[f2970,f2936]) ).
fof(f2970,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| sP27
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| sP26
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e14,e13)) != op2(h4(e14),e23)
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| e24 != h4(e14)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| sP25
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| sP24
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e13,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[],[f2969,f165]) ).
fof(f2969,plain,
( h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| sP25
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP24
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| sP26
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| e24 != h4(e14)
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP27 ),
inference(forward_demodulation,[],[f2968,f165]) ).
fof(f2968,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| sP25
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP27
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP26
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP24
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| e24 != h4(e14) ),
inference(forward_demodulation,[],[f2967,f165]) ).
fof(f2967,plain,
( sP24
| sP26
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP25
| sP27
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| e24 != h4(e14)
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11)) ),
inference(forward_demodulation,[],[f500,f165]) ).
fof(f500,plain,
( h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| sP26
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| e24 != h4(e14)
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| sP24
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP25
| sP27 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| ( e23 != h5(e14)
& e23 != h5(e11)
& e23 != h5(e12)
& e23 != h5(e10)
& e23 != h5(e13) )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| sP43
| sP42
| sP41
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| sP40 )
& ( h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e10,e14)) != op2(h3(e10),h3(e14))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| ( e23 != h3(e11)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e14)
& e23 != h3(e13) )
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| sP39
| h3(op1(e12,e14)) != op2(h3(e12),h3(e14))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| sP38
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP37
| h3(op1(e11,e14)) != op2(h3(e11),h3(e14))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP36
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14)) )
& ( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e14)
& e23 != h2(e11)
& e23 != h2(e13) )
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| sP35
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e14)) != op2(h2(e10),h2(e14))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP34
| h2(op1(e11,e14)) != op2(h2(e11),h2(e14))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| sP33
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e12,e14)) != op2(h2(e12),h2(e14))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP32
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) )
& ( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e12,e14)) != op2(h1(e12),h1(e14))
| ( e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e14)
& e21 != h1(e11)
& e21 != h1(e12) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP31
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP30
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e14)) != op2(h1(e10),h1(e14))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| sP29
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP28
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e14)) != op2(h1(e11),h1(e14)) )
& ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| ( e24 != h4(e13)
& e24 != h4(e11)
& e24 != h4(e14)
& e24 != h4(e12)
& e24 != h4(e10) )
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| sP27
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP26
| sP25
| sP24 ) ),
inference(definition_folding,[],[f23,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49]) ).
fof(f50,plain,
( ( e20 != h4(e10)
& e20 != h4(e14)
& e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e11) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f53,plain,
( ( e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e14)
& e23 != h1(e12) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f54,plain,
( ( e24 != h1(e13)
& e24 != h1(e14)
& e24 != h1(e10)
& e24 != h1(e11)
& e24 != h1(e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f55,plain,
( ( e22 != h1(e12)
& e22 != h1(e14)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e11) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f56,plain,
( ( e20 != h1(e13)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e14)
& e20 != h1(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f57,plain,
( ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e14)
& e21 != h2(e10)
& e21 != h2(e13) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f58,plain,
( ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e12)
& e20 != h2(e14)
& e20 != h2(e11) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f59,plain,
( ( e24 != h2(e11)
& e24 != h2(e12)
& e24 != h2(e10)
& e24 != h2(e13)
& e24 != h2(e14) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f60,plain,
( ( e22 != h2(e14)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e13) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f61,plain,
( ( e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e14)
& e22 != h3(e12) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f62,plain,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e14)
& e21 != h3(e13) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f63,plain,
( ( e24 != h3(e14)
& e24 != h3(e12)
& e24 != h3(e10)
& e24 != h3(e11)
& e24 != h3(e13) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f64,plain,
( ( e20 != h3(e14)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f65,plain,
( ( e21 != h5(e14)
& e21 != h5(e10)
& e21 != h5(e11)
& e21 != h5(e13)
& e21 != h5(e12) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f66,plain,
( ( e22 != h5(e13)
& e22 != h5(e14)
& e22 != h5(e11)
& e22 != h5(e10)
& e22 != h5(e12) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f67,plain,
( ( e24 != h5(e14)
& e24 != h5(e12)
& e24 != h5(e11)
& e24 != h5(e13)
& e24 != h5(e10) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f68,plain,
( ( e20 != h5(e14)
& e20 != h5(e12)
& e20 != h5(e10)
& e20 != h5(e13)
& e20 != h5(e11) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f23,plain,
( ( h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| ( e23 != h5(e14)
& e23 != h5(e11)
& e23 != h5(e12)
& e23 != h5(e10)
& e23 != h5(e13) )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| ( e20 != h5(e14)
& e20 != h5(e12)
& e20 != h5(e10)
& e20 != h5(e13)
& e20 != h5(e11) )
| ( e24 != h5(e14)
& e24 != h5(e12)
& e24 != h5(e11)
& e24 != h5(e13)
& e24 != h5(e10) )
| ( e22 != h5(e13)
& e22 != h5(e14)
& e22 != h5(e11)
& e22 != h5(e10)
& e22 != h5(e12) )
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| ( e21 != h5(e14)
& e21 != h5(e10)
& e21 != h5(e11)
& e21 != h5(e13)
& e21 != h5(e12) ) )
& ( h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e10,e14)) != op2(h3(e10),h3(e14))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| ( e23 != h3(e11)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e14)
& e23 != h3(e13) )
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| ( e20 != h3(e14)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13) )
| h3(op1(e12,e14)) != op2(h3(e12),h3(e14))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| ( e24 != h3(e14)
& e24 != h3(e12)
& e24 != h3(e10)
& e24 != h3(e11)
& e24 != h3(e13) )
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e14)
& e21 != h3(e13) )
| h3(op1(e11,e14)) != op2(h3(e11),h3(e14))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| ( e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e14)
& e22 != h3(e12) )
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14)) )
& ( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e14)
& e23 != h2(e11)
& e23 != h2(e13) )
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| ( e22 != h2(e14)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e13) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e14)) != op2(h2(e10),h2(e14))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| ( e24 != h2(e11)
& e24 != h2(e12)
& e24 != h2(e10)
& e24 != h2(e13)
& e24 != h2(e14) )
| h2(op1(e11,e14)) != op2(h2(e11),h2(e14))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e12)
& e20 != h2(e14)
& e20 != h2(e11) )
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e12,e14)) != op2(h2(e12),h2(e14))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e14)
& e21 != h2(e10)
& e21 != h2(e13) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) )
& ( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e12,e14)) != op2(h1(e12),h1(e14))
| ( e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e14)
& e21 != h1(e11)
& e21 != h1(e12) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e20 != h1(e13)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e14)
& e20 != h1(e10) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e22 != h1(e12)
& e22 != h1(e14)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e11) )
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e14)) != op2(h1(e10),h1(e14))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e24 != h1(e13)
& e24 != h1(e14)
& e24 != h1(e10)
& e24 != h1(e11)
& e24 != h1(e12) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e14)
& e23 != h1(e12) )
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e14)) != op2(h1(e11),h1(e14)) )
& ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| ( e24 != h4(e13)
& e24 != h4(e11)
& e24 != h4(e14)
& e24 != h4(e12)
& e24 != h4(e10) )
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| ( e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e14)
& e22 != h4(e13)
& e22 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| ( e21 != h4(e14)
& e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ( e20 != h4(e10)
& e20 != h4(e14)
& e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e11) )
| ( e23 != h4(e10)
& e23 != h4(e14)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ( ( h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e14) )
& ( e24 = h3(e13)
| e24 = h3(e12)
| e24 = h3(e10)
| e24 = h3(e11)
| e24 = h3(e14) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e14)) = op2(h3(e12),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e12)
| e21 = h3(e14)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e13) )
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e14)
| e23 = h3(e13) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e22 = h3(e14)
| e22 = h3(e11)
| e22 = h3(e10)
| e22 = h3(e12)
| e22 = h3(e13) )
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e14)) = op2(h3(e11),h3(e14))
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e10,e14)) = op2(h3(e10),h3(e14))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) )
| ( h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( e23 = h5(e13)
| e23 = h5(e11)
| e23 = h5(e14)
| e23 = h5(e10)
| e23 = h5(e12) )
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& ( e24 = h5(e13)
| e24 = h5(e14)
| e24 = h5(e12)
| e24 = h5(e11)
| e24 = h5(e10) )
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& ( e21 = h5(e14)
| e21 = h5(e12)
| e21 = h5(e10)
| e21 = h5(e11)
| e21 = h5(e13) )
& ( e22 = h5(e14)
| e22 = h5(e11)
| e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e10) )
& ( e20 = h5(e10)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e13)
| e20 = h5(e14) ) )
| ( ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e14)
| e22 = h4(e13) )
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e11,e14)) = op2(h4(e11),h4(e14))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e14)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e10,e14)) = op2(h4(e10),h4(e14))
& ( e23 = h4(e12)
| e23 = h4(e14)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e14)) = op2(h4(e12),h4(e14))
& ( e20 = h4(e10)
| e20 = h4(e14)
| e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e12) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e24 = h4(e11)
| e24 = h4(e10)
| e24 = h4(e12)
| e24 = h4(e13)
| e24 = h4(e14) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13)) )
| ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e14)
| e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e24 = h1(e11)
| e24 = h1(e10)
| e24 = h1(e12)
| e24 = h1(e14)
| e24 = h1(e13) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e14)) = op2(h1(e11),h1(e14))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e14)) = op2(h1(e10),h1(e14))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e23 = h1(e13)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e14) )
& ( e22 = h1(e14)
| e22 = h1(e12)
| e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e11) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e12,e14)) = op2(h1(e12),h1(e14))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& ( e21 = h1(e12)
| e21 = h1(e14)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11) ) )
| ( h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e14)) = op2(h2(e11),h2(e14))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e22 = h2(e10)
| e22 = h2(e14)
| e22 = h2(e11)
| e22 = h2(e13)
| e22 = h2(e12) )
& h2(op1(e10,e14)) = op2(h2(e10),h2(e14))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e14)
| e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e10) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& ( e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e14)
| e21 = h2(e12)
| e21 = h2(e10) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& ( e20 = h2(e14)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e14)) = op2(h2(e12),h2(e14))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e24 = h2(e12)
| e24 = h2(e14)
| e24 = h2(e13)
| e24 = h2(e11)
| e24 = h2(e10) )
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
( ( h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e14) )
& ( e24 = h3(e13)
| e24 = h3(e12)
| e24 = h3(e10)
| e24 = h3(e11)
| e24 = h3(e14) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e14)) = op2(h3(e12),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e12)
| e21 = h3(e14)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e13) )
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e14)
| e23 = h3(e13) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e22 = h3(e14)
| e22 = h3(e11)
| e22 = h3(e10)
| e22 = h3(e12)
| e22 = h3(e13) )
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e14)) = op2(h3(e11),h3(e14))
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e10,e14)) = op2(h3(e10),h3(e14))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) )
| ( h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( e23 = h5(e13)
| e23 = h5(e11)
| e23 = h5(e14)
| e23 = h5(e10)
| e23 = h5(e12) )
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& ( e24 = h5(e13)
| e24 = h5(e14)
| e24 = h5(e12)
| e24 = h5(e11)
| e24 = h5(e10) )
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& ( e21 = h5(e14)
| e21 = h5(e12)
| e21 = h5(e10)
| e21 = h5(e11)
| e21 = h5(e13) )
& ( e22 = h5(e14)
| e22 = h5(e11)
| e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e10) )
& ( e20 = h5(e10)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e13)
| e20 = h5(e14) ) )
| ( ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e14)
| e22 = h4(e13) )
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e11,e14)) = op2(h4(e11),h4(e14))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e14)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e10,e14)) = op2(h4(e10),h4(e14))
& ( e23 = h4(e12)
| e23 = h4(e14)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e14)) = op2(h4(e12),h4(e14))
& ( e20 = h4(e10)
| e20 = h4(e14)
| e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e12) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e24 = h4(e11)
| e24 = h4(e10)
| e24 = h4(e12)
| e24 = h4(e13)
| e24 = h4(e14) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13)) )
| ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e14)
| e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e24 = h1(e11)
| e24 = h1(e10)
| e24 = h1(e12)
| e24 = h1(e14)
| e24 = h1(e13) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e14)) = op2(h1(e11),h1(e14))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e14)) = op2(h1(e10),h1(e14))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e23 = h1(e13)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e14) )
& ( e22 = h1(e14)
| e22 = h1(e12)
| e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e11) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e12,e14)) = op2(h1(e12),h1(e14))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& ( e21 = h1(e12)
| e21 = h1(e14)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11) ) )
| ( h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e14)) = op2(h2(e11),h2(e14))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e22 = h2(e10)
| e22 = h2(e14)
| e22 = h2(e11)
| e22 = h2(e13)
| e22 = h2(e12) )
& h2(op1(e10,e14)) = op2(h2(e10),h2(e14))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e14)
| e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e10) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& ( e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e14)
| e21 = h2(e12)
| e21 = h2(e10) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& ( e20 = h2(e14)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e14)) = op2(h2(e12),h2(e14))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e24 = h2(e12)
| e24 = h2(e14)
| e24 = h2(e13)
| e24 = h2(e11)
| e24 = h2(e10) )
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2960,plain,
( spl68_392
| spl68_470
| spl68_253
| spl68_471
| spl68_445 ),
inference(avatar_split_clause,[],[f582,f2829,f2957,f1981,f2953,f2581]) ).
fof(f582,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e14)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2951,plain,
( spl68_213
| spl68_137
| spl68_464
| spl68_69
| spl68_469 ),
inference(avatar_split_clause,[],[f702,f2948,f1186,f2918,f1476,f1801]) ).
fof(f702,plain,
( e10 = op1(e14,e14)
| e13 = op1(e14,e14)
| e14 = op1(e14,e14)
| e12 = op1(e14,e14)
| e11 = op1(e14,e14) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2930,plain,
( spl68_333
| spl68_465
| spl68_418
| spl68_466
| spl68_460 ),
inference(avatar_split_clause,[],[f733,f2899,f2927,f2704,f2923,f2323]) ).
fof(f733,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e24)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2878,plain,
( spl68_454
| spl68_71
| spl68_332
| spl68_95
| spl68_455 ),
inference(avatar_split_clause,[],[f753,f2875,f1300,f2319,f1196,f2871]) ).
fof(f753,plain,
( e22 = op2(e24,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e23,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2859,plain,
( ~ spl68_450
| ~ spl68_451 ),
inference(avatar_split_clause,[],[f659,f2856,f2852]) ).
fof(f659,plain,
( op2(e21,e24) != op2(e24,e21)
| ~ sP45 ),
inference(cnf_transformation,[],[f161]) ).
fof(f2827,plain,
( spl68_440
| spl68_441
| spl68_442
| spl68_443
| spl68_444 ),
inference(avatar_split_clause,[],[f887,f2824,f2820,f2816,f2812,f2808]) ).
fof(f887,plain,
( e22 = unit2
| e24 = unit2
| e21 = unit2
| e23 = unit2
| e20 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f2791,plain,
( ~ spl68_436
| ~ spl68_60 ),
inference(avatar_split_clause,[],[f228,f1148,f2788]) ).
fof(f228,plain,
( ~ sP5
| op1(e10,e13) != op1(e13,e10) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( op1(e10,e13) != op1(e13,e10)
& e10 != op1(op1(e13,e10),e13)
& e13 = op1(op1(e13,e10),e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f29]) ).
fof(f2758,plain,
( spl68_428
| spl68_78
| spl68_227
| spl68_210
| spl68_429 ),
inference(avatar_split_clause,[],[f721,f2755,f1788,f1862,f1226,f2751]) ).
fof(f721,plain,
( e20 = op2(e24,e21)
| e20 = op2(e24,e23)
| e20 = op2(e24,e22)
| e20 = op2(e24,e20)
| e20 = op2(e24,e24) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2711,plain,
( spl68_359
| spl68_81
| spl68_418
| spl68_419
| spl68_296 ),
inference(avatar_split_clause,[],[f279,f2165,f2708,f2704,f1240,f2443]) ).
fof(f279,plain,
( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e24 = op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2687,plain,
( ~ spl68_413
| spl68_414 ),
inference(avatar_split_clause,[],[f601,f2684,f2680]) ).
fof(f601,plain,
( e21 = op2(op2(e21,e24),e24)
| ~ sP64 ),
inference(cnf_transformation,[],[f142]) ).
fof(f2677,plain,
( spl68_139
| spl68_65
| spl68_410
| spl68_411
| spl68_412 ),
inference(avatar_split_clause,[],[f716,f2674,f2670,f2666,f1170,f1484]) ).
fof(f716,plain,
( e14 = op1(e14,e11)
| e11 = op1(e14,e11)
| e10 = op1(e14,e11)
| e13 = op1(e14,e11)
| e12 = op1(e14,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2659,plain,
spl68_169,
inference(avatar_split_clause,[],[f2658,f1607]) ).
fof(f2658,plain,
e20 = h4(e10),
inference(forward_demodulation,[],[f2657,f2159]) ).
fof(f2657,plain,
e20 = op2(e23,op2(h4(e14),e23)),
inference(forward_demodulation,[],[f171,f167]) ).
fof(f171,plain,
e20 = op2(e23,op2(op2(e23,op2(e23,e23)),e23)),
inference(cnf_transformation,[],[f15]) ).
fof(f2615,plain,
( spl68_66
| spl68_398
| spl68_299
| spl68_399
| spl68_5 ),
inference(avatar_split_clause,[],[f567,f915,f2612,f2180,f2608,f1174]) ).
fof(f567,plain,
( e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e14,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2446,plain,
( spl68_356
| spl68_357
| spl68_358
| spl68_359
| spl68_332 ),
inference(avatar_split_clause,[],[f726,f2319,f2443,f2439,f2435,f2431]) ).
fof(f726,plain,
( e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e24)
| e22 = op2(e21,e23)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2397,plain,
( spl68_346
| spl68_347
| spl68_218
| spl68_348
| spl68_30 ),
inference(avatar_split_clause,[],[f285,f1025,f2394,f1823,f2390,f2386]) ).
fof(f285,plain,
( e24 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2379,plain,
( ~ spl68_51
| spl68_344 ),
inference(avatar_split_clause,[],[f201,f2376,f1112]) ).
fof(f201,plain,
( e11 = op1(op1(e11,e12),e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e11 = op1(op1(e11,e12),e12)
& e12 != op1(op1(e11,e12),e11)
& op1(e11,e12) != op1(e12,e11) )
| ~ sP14 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2177,plain,
( ~ spl68_297
| spl68_298 ),
inference(avatar_split_clause,[],[f605,f2174,f2170]) ).
fof(f605,plain,
( e23 = op2(op2(e23,e22),e22)
| ~ sP63 ),
inference(cnf_transformation,[],[f143]) ).
fof(f2168,plain,
( spl68_295
| spl68_296
| spl68_228
| spl68_87
| spl68_35 ),
inference(avatar_split_clause,[],[f741,f1047,f1265,f1866,f2165,f2161]) ).
fof(f741,plain,
( e23 = op2(e23,e22)
| e23 = op2(e20,e22)
| e23 = op2(e24,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2153,plain,
( spl68_251
| spl68_290
| spl68_291
| spl68_292
| spl68_293 ),
inference(avatar_split_clause,[],[f563,f2150,f2146,f2142,f2138,f1973]) ).
fof(f563,plain,
( e14 = op1(e11,e13)
| e14 = op1(e11,e11)
| e14 = op1(e11,e10)
| e14 = op1(e11,e14)
| e14 = op1(e11,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2136,plain,
( ~ spl68_289
| ~ spl68_57 ),
inference(avatar_split_clause,[],[f175,f1136,f2133]) ).
fof(f175,plain,
( ~ sP22
| op1(e10,e11) != op1(e11,e10) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e11 = op1(op1(e11,e10),e10)
& e10 != op1(op1(e11,e10),e11)
& op1(e10,e11) != op1(e11,e10) )
| ~ sP22 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1998,plain,
( ~ spl68_255
| spl68_256 ),
inference(avatar_split_clause,[],[f610,f1995,f1991]) ).
fof(f610,plain,
( e22 = op2(op2(e22,e23),e23)
| ~ sP61 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1984,plain,
( spl68_251
| spl68_252
| spl68_5
| spl68_101
| spl68_253 ),
inference(avatar_split_clause,[],[f699,f1981,f1326,f915,f1977,f1973]) ).
fof(f699,plain,
( e10 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12)
| e14 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1940,plain,
spl68_188,
inference(avatar_split_clause,[],[f168,f1692]) ).
fof(f168,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f15]) ).
fof(f1923,plain,
( spl68_29
| spl68_239
| spl68_88
| spl68_197
| spl68_240 ),
inference(avatar_split_clause,[],[f289,f1920,f1732,f1269,f1916,f1021]) ).
fof(f289,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e24 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1817,plain,
( ~ spl68_52
| spl68_216 ),
inference(avatar_split_clause,[],[f194,f1814,f1116]) ).
fof(f194,plain,
( e12 = op1(op1(e12,e14),e14)
| ~ sP16 ),
inference(cnf_transformation,[],[f102]) ).
fof(f1812,plain,
( spl68_212
| spl68_213
| spl68_214
| spl68_8
| spl68_215 ),
inference(avatar_split_clause,[],[f578,f1809,f928,f1805,f1801,f1797]) ).
fof(f578,plain,
( e11 = op1(e10,e14)
| e11 = op1(e12,e14)
| e11 = op1(e11,e14)
| e11 = op1(e14,e14)
| e11 = op1(e13,e14) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1774,plain,
( ~ spl68_205
| ~ spl68_206 ),
inference(avatar_split_clause,[],[f595,f1771,f1767]) ).
fof(f595,plain,
( op2(e23,e24) != op2(e24,e23)
| ~ sP66 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e23 = op2(op2(e23,e24),e24)
& e24 != op2(op2(e23,e24),e23)
& op2(e23,e24) != op2(e24,e23) )
| ~ sP66 ),
inference(nnf_transformation,[],[f92]) ).
fof(f1647,plain,
( ~ spl68_177
| ~ spl68_90 ),
inference(avatar_split_clause,[],[f657,f1278,f1644]) ).
fof(f657,plain,
( op2(e20,e22) != op2(e22,e20)
| ~ sP46 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( op2(e20,e22) != op2(e22,e20)
& e20 = op2(op2(e20,e22),e22)
& e22 != op2(op2(e20,e22),e20) )
| ~ sP46 ),
inference(nnf_transformation,[],[f72]) ).
fof(f1619,plain,
( ~ spl68_170
| ~ spl68_171 ),
inference(avatar_split_clause,[],[f617,f1616,f1612]) ).
fof(f617,plain,
( op2(e22,e24) != op2(e24,e22)
| ~ sP59 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1610,plain,
( ~ spl68_63
| ~ spl68_169 ),
inference(avatar_split_clause,[],[f492,f1607,f1161]) ).
fof(f492,plain,
( e20 != h4(e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e20 != h4(e10)
& e20 != h4(e14)
& e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e11) )
| ~ sP25 ),
inference(nnf_transformation,[],[f50]) ).
fof(f1311,plain,
( spl68_93
| spl68_94
| spl68_95
| spl68_96
| spl68_97 ),
inference(avatar_split_clause,[],[f269,f1308,f1304,f1300,f1296,f1292]) ).
fof(f269,plain,
( e24 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e23 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1290,plain,
( ~ spl68_56
| spl68_92 ),
inference(avatar_split_clause,[],[f206,f1287,f1132]) ).
fof(f206,plain,
( e13 = op1(op1(e13,e11),e11)
| ~ sP12 ),
inference(cnf_transformation,[],[f106]) ).
fof(f1285,plain,
( ~ spl68_90
| ~ spl68_91 ),
inference(avatar_split_clause,[],[f649,f1282,f1278]) ).
fof(f649,plain,
( ~ sP48
| op2(e20,e22) != op2(e22,e20) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e22 = op2(op2(e22,e20),e20)
& e20 != op2(op2(e22,e20),e22)
& op2(e20,e22) != op2(e22,e20) )
| ~ sP48 ),
inference(nnf_transformation,[],[f74]) ).
fof(f1207,plain,
( spl68_70
| spl68_38
| spl68_71
| spl68_72
| spl68_73 ),
inference(avatar_split_clause,[],[f281,f1204,f1200,f1196,f1059,f1192]) ).
fof(f281,plain,
( e24 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1189,plain,
( spl68_65
| spl68_66
| spl68_67
| spl68_68
| spl68_69 ),
inference(avatar_split_clause,[],[f570,f1186,f1182,f1178,f1174,f1170]) ).
fof(f570,plain,
( e13 = op1(e14,e14)
| e13 = op1(e14,e13)
| e13 = op1(e14,e10)
| e13 = op1(e14,e12)
| e13 = op1(e14,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1045,plain,
( ~ spl68_33
| spl68_34 ),
inference(avatar_split_clause,[],[f202,f1042,f1038]) ).
fof(f202,plain,
( e12 = op1(op1(e12,e11),e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( op1(e11,e12) != op1(e12,e11)
& e11 != op1(op1(e12,e11),e12)
& e12 = op1(op1(e12,e11),e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1036,plain,
( spl68_28
| spl68_29
| spl68_30
| spl68_31
| spl68_32 ),
inference(avatar_split_clause,[],[f759,f1033,f1029,f1025,f1021,f1017]) ).
fof(f759,plain,
( e24 = op2(e24,e20)
| e24 = op2(e21,e20)
| e24 = op2(e22,e20)
| op2(e20,e20) = e24
| e24 = op2(e23,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f988,plain,
( spl68_17
| spl68_18
| spl68_19
| spl68_20
| spl68_21 ),
inference(avatar_split_clause,[],[f967,f985,f981,f977,f973,f969]) ).
fof(f967,plain,
( e11 = e12
| e12 = op1(e13,e14)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(forward_demodulation,[],[f549,f528]) ).
fof(f549,plain,
( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e14)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f3]) ).
fof(f948,plain,
( ~ spl68_11
| ~ spl68_12 ),
inference(avatar_split_clause,[],[f229,f945,f941]) ).
fof(f229,plain,
( op1(e11,e14) != op1(e14,e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f114]) ).
fof(f939,plain,
( spl68_6
| spl68_7
| spl68_8
| spl68_9
| spl68_10 ),
inference(avatar_split_clause,[],[f709,f936,f932,f928,f924,f920]) ).
fof(f709,plain,
( e14 = op1(e12,e14)
| e12 = op1(e12,e14)
| e11 = op1(e12,e14)
| e13 = op1(e12,e14)
| e10 = op1(e12,e14) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG053+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 14:58:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (17387)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (17371)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.57 % (17379)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (17372)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (17398)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.57 % (17385)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58 % (17376)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.58 % (17379)Instruction limit reached!
% 0.20/0.58 % (17379)------------------------------
% 0.20/0.58 % (17379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (17379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (17379)Termination reason: Unknown
% 0.20/0.58 % (17379)Termination phase: Unused predicate definition removal
% 0.20/0.58
% 0.20/0.58 % (17379)Memory used [KB]: 1151
% 0.20/0.58 % (17379)Time elapsed: 0.005 s
% 0.20/0.58 % (17379)Instructions burned: 3 (million)
% 0.20/0.58 % (17379)------------------------------
% 0.20/0.58 % (17379)------------------------------
% 0.20/0.58 % (17386)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59 % (17374)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (17373)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)
% 0.20/0.59 % (17378)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59 % (17384)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (17375)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (17378)Instruction limit reached!
% 0.20/0.59 % (17378)------------------------------
% 0.20/0.59 % (17378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (17378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (17378)Termination reason: Unknown
% 0.20/0.59 % (17378)Termination phase: Preprocessing 3
% 0.20/0.59
% 0.20/0.59 % (17378)Memory used [KB]: 1279
% 0.20/0.59 % (17378)Time elapsed: 0.005 s
% 0.20/0.59 % (17378)Instructions burned: 7 (million)
% 0.20/0.59 % (17378)------------------------------
% 0.20/0.59 % (17378)------------------------------
% 0.20/0.60 % (17395)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.60 % (17383)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.61 % (17394)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.61 % (17389)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.61 % (17377)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (17400)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)
% 0.20/0.61 % (17397)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.62 % (17388)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.62 % (17390)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)
% 0.20/0.62 % (17396)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62 % (17381)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.62 % (17382)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.63 % (17391)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)
% 0.20/0.63 % (17399)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.63 % (17380)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)
% 0.20/0.63 % (17392)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.79/0.65 % (17393)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)
% 2.23/0.68 % (17373)Instruction limit reached!
% 2.23/0.68 % (17373)------------------------------
% 2.23/0.68 % (17373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (17373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (17373)Termination reason: Unknown
% 2.23/0.69 % (17373)Termination phase: Saturation
% 2.23/0.69
% 2.23/0.69 % (17373)Memory used [KB]: 1535
% 2.23/0.69 % (17373)Time elapsed: 0.024 s
% 2.23/0.69 % (17373)Instructions burned: 37 (million)
% 2.23/0.69 % (17373)------------------------------
% 2.23/0.69 % (17373)------------------------------
% 2.23/0.69 % (17372)Instruction limit reached!
% 2.23/0.69 % (17372)------------------------------
% 2.23/0.69 % (17372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (17372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (17372)Termination reason: Unknown
% 2.23/0.69 % (17372)Termination phase: Saturation
% 2.23/0.69
% 2.23/0.69 % (17372)Memory used [KB]: 7547
% 2.23/0.69 % (17372)Time elapsed: 0.039 s
% 2.23/0.69 % (17372)Instructions burned: 51 (million)
% 2.23/0.69 % (17372)------------------------------
% 2.23/0.69 % (17372)------------------------------
% 2.23/0.69 % (17376)Instruction limit reached!
% 2.23/0.69 % (17376)------------------------------
% 2.23/0.69 % (17376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (17375)Instruction limit reached!
% 2.23/0.69 % (17375)------------------------------
% 2.23/0.69 % (17375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (17376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (17376)Termination reason: Unknown
% 2.23/0.70 % (17376)Termination phase: Saturation
% 2.23/0.70
% 2.23/0.70 % (17376)Memory used [KB]: 7803
% 2.23/0.70 % (17376)Time elapsed: 0.255 s
% 2.23/0.70 % (17376)Instructions burned: 48 (million)
% 2.23/0.70 % (17376)------------------------------
% 2.23/0.70 % (17376)------------------------------
% 2.23/0.70 % (17375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (17375)Termination reason: Unknown
% 2.23/0.70 % (17375)Termination phase: Property scanning
% 2.23/0.70
% 2.23/0.70 % (17375)Memory used [KB]: 1791
% 2.23/0.70 % (17375)Time elapsed: 0.032 s
% 2.23/0.70 % (17375)Instructions burned: 52 (million)
% 2.23/0.70 % (17375)------------------------------
% 2.23/0.70 % (17375)------------------------------
% 2.23/0.70 % (17374)Instruction limit reached!
% 2.23/0.70 % (17374)------------------------------
% 2.23/0.70 % (17374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (17374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (17374)Termination reason: Unknown
% 2.23/0.70 % (17374)Termination phase: Property scanning
% 2.23/0.70
% 2.23/0.70 % (17374)Memory used [KB]: 1791
% 2.23/0.70 % (17374)Time elapsed: 0.032 s
% 2.23/0.70 % (17374)Instructions burned: 52 (million)
% 2.23/0.70 % (17374)------------------------------
% 2.23/0.70 % (17374)------------------------------
% 2.23/0.71 % (17388)Instruction limit reached!
% 2.23/0.71 % (17388)------------------------------
% 2.23/0.71 % (17388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72 % (17388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72 % (17388)Termination reason: Unknown
% 2.57/0.72 % (17388)Termination phase: Finite model building preprocessing
% 2.57/0.72
% 2.57/0.72 % (17388)Memory used [KB]: 2430
% 2.57/0.72 % (17388)Time elapsed: 0.038 s
% 2.57/0.72 % (17388)Instructions burned: 59 (million)
% 2.57/0.72 % (17388)------------------------------
% 2.57/0.72 % (17388)------------------------------
% 2.57/0.72 % (17387)Instruction limit reached!
% 2.57/0.72 % (17387)------------------------------
% 2.57/0.72 % (17387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72 % (17387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72 % (17387)Termination reason: Unknown
% 2.57/0.72 % (17387)Termination phase: Saturation
% 2.57/0.72
% 2.57/0.72 % (17387)Memory used [KB]: 8059
% 2.57/0.72 % (17387)Time elapsed: 0.286 s
% 2.57/0.72 % (17387)Instructions burned: 100 (million)
% 2.57/0.72 % (17387)------------------------------
% 2.57/0.72 % (17387)------------------------------
% 2.57/0.72 % (17377)Instruction limit reached!
% 2.57/0.72 % (17377)------------------------------
% 2.57/0.72 % (17377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72 % (17377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72 % (17377)Termination reason: Unknown
% 2.57/0.72 % (17377)Termination phase: Finite model building preprocessing
% 2.57/0.72
% 2.57/0.72 % (17377)Memory used [KB]: 2686
% 2.57/0.72 % (17377)Time elapsed: 0.033 s
% 2.57/0.72 % (17377)Instructions burned: 51 (million)
% 2.57/0.72 % (17377)------------------------------
% 2.57/0.72 % (17377)------------------------------
% 2.57/0.73 % (17385)Instruction limit reached!
% 2.57/0.73 % (17385)------------------------------
% 2.57/0.73 % (17385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73 % (17397)Instruction limit reached!
% 2.57/0.73 % (17397)------------------------------
% 2.57/0.73 % (17397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73 % (17397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.73 % (17397)Termination reason: Unknown
% 2.57/0.73 % (17397)Termination phase: Saturation
% 2.57/0.73
% 2.57/0.73 % (17397)Memory used [KB]: 7675
% 2.57/0.73 % (17397)Time elapsed: 0.054 s
% 2.57/0.73 % (17397)Instructions burned: 68 (million)
% 2.57/0.73 % (17397)------------------------------
% 2.57/0.73 % (17397)------------------------------
% 2.75/0.74 % (17381)Instruction limit reached!
% 2.75/0.74 % (17381)------------------------------
% 2.75/0.74 % (17381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.74 % (17381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.74 % (17381)Termination reason: Unknown
% 2.75/0.74 % (17381)Termination phase: Saturation
% 2.75/0.74
% 2.75/0.74 % (17381)Memory used [KB]: 7291
% 2.75/0.74 % (17381)Time elapsed: 0.037 s
% 2.75/0.74 % (17381)Instructions burned: 50 (million)
% 2.75/0.74 % (17381)------------------------------
% 2.75/0.74 % (17381)------------------------------
% 2.75/0.75 % (17385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.75 % (17385)Termination reason: Unknown
% 2.75/0.75 % (17385)Termination phase: Saturation
% 2.75/0.75
% 2.75/0.75 % (17385)Memory used [KB]: 7675
% 2.75/0.75 % (17385)Time elapsed: 0.050 s
% 2.75/0.75 % (17385)Instructions burned: 68 (million)
% 2.75/0.75 % (17385)------------------------------
% 2.75/0.75 % (17385)------------------------------
% 2.75/0.75 % (17380)Instruction limit reached!
% 2.75/0.75 % (17380)------------------------------
% 2.75/0.75 % (17380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.75 % (17380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.75 % (17380)Termination reason: Unknown
% 2.75/0.75 % (17380)Termination phase: Saturation
% 2.75/0.75
% 2.75/0.75 % (17380)Memory used [KB]: 1663
% 2.75/0.75 % (17380)Time elapsed: 0.033 s
% 2.75/0.75 % (17380)Instructions burned: 52 (million)
% 2.75/0.75 % (17380)------------------------------
% 2.75/0.75 % (17380)------------------------------
% 2.75/0.76 % (17433)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)
% 2.75/0.77 % (17386)Instruction limit reached!
% 2.75/0.77 % (17386)------------------------------
% 2.75/0.77 % (17386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.77 % (17386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.77 % (17386)Termination reason: Unknown
% 2.75/0.77 % (17386)Termination phase: Saturation
% 2.75/0.77
% 2.75/0.77 % (17386)Memory used [KB]: 2174
% 2.75/0.77 % (17386)Time elapsed: 0.053 s
% 2.75/0.77 % (17386)Instructions burned: 76 (million)
% 2.75/0.77 % (17386)------------------------------
% 2.75/0.77 % (17386)------------------------------
% 2.75/0.81 % (17384)Instruction limit reached!
% 2.75/0.81 % (17384)------------------------------
% 2.75/0.81 % (17384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.81 % (17384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.81 % (17384)Termination reason: Unknown
% 2.75/0.81 % (17384)Termination phase: Saturation
% 2.75/0.81
% 2.75/0.81 % (17384)Memory used [KB]: 8187
% 2.75/0.81 % (17384)Time elapsed: 0.071 s
% 2.75/0.81 % (17384)Instructions burned: 99 (million)
% 2.75/0.81 % (17384)------------------------------
% 2.75/0.81 % (17384)------------------------------
% 2.75/0.81 TRYING [10]
% 2.75/0.82 % (17435)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)
% 3.18/0.83 % (17382)Instruction limit reached!
% 3.18/0.83 % (17382)------------------------------
% 3.18/0.83 % (17382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.83 % (17382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.83 % (17382)Termination reason: Unknown
% 3.18/0.83 % (17382)Termination phase: 17382 Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/0.83 % (17382)------------------------------
% 3.18/0.83 % (17382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.83 % (17382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.83 % (17382)Termination reason: Unknown
% 3.18/0.83 % (17389)Instruction limit reached!
% 3.18/0.83 % (17389)------------------------------
% 3.18/0.83 % (17389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.83 % (17389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.83 % (17389)Termination reason: Unknown
% 3.18/0.83 % (17389)Termination phase: Saturation
% 3.18/0.83
% 3.18/0.83 % (17389)Memory used [KB]: 8187
% 3.18/0.83 % (17389)Time elapsed: 0.072 s
% 3.18/0.83 % (17389)Instructions burned: 100 (million)
% 3.18/0.83 % (17389)------------------------------
% 3.18/0.83 % (17389)------------------------------
% 3.18/0.84 % (17390)Instruction limit reached!
% 3.18/0.84 % (17390)------------------------------
% 3.18/0.84 % (17390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.84 % (17390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.84 % (17390)Termination reason: Unknown
% 3.18/0.84 % (17390)Termination phase: Saturation
% 3.18/0.84
% 3.18/0.84 % (17390)Memory used [KB]: 1663
% 3.18/0.84 % (17390)Time elapsed: 0.067 s
% 3.18/0.84 % (17390)Instructions burned: 100 (million)
% 3.18/0.84 % (17390)------------------------------
% 3.18/0.84 % (17390)------------------------------
% 3.18/0.85 % (17383)Instruction limit reached!
% 3.18/0.85 % (17383)------------------------------
% 3.18/0.85 % (17383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85 % (17383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85 % (17383)Termination reason: Unknown
% 3.18/0.85 % (17383)Termination phase: Saturation
% 3.18/0.85
% 3.18/0.85 % (17383)Memory used [KB]: 8315
% 3.18/0.85 % (17383)Time elapsed: 0.073 s
% 3.18/0.85 % (17383)Instructions burned: 101 (million)
% 3.18/0.85 % (17383)------------------------------
% 3.18/0.85 % (17383)------------------------------
% 3.18/0.87 % (17448)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)
% 3.18/0.87 % (17434)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)
% 3.46/0.92 % (17439)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)
% 3.46/0.92 % (17435)Instruction limit reached!
% 3.46/0.92 % (17435)------------------------------
% 3.46/0.92 % (17435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.92 % (17435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.92 % (17435)Termination reason: Unknown
% 3.46/0.92 % (17435)Termination phase: Saturation
% 3.46/0.92
% 3.46/0.92 % (17435)Memory used [KB]: 8187
% 3.46/0.92 % (17435)Time elapsed: 0.134 s
% 3.46/0.92 % (17435)Instructions burned: 90 (million)
% 3.46/0.92 % (17435)------------------------------
% 3.46/0.92 % (17435)------------------------------
% 3.46/0.94 % (17448)Instruction limit reached!
% 3.46/0.94 % (17448)------------------------------
% 3.46/0.94 % (17448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.94 % (17448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.94 % (17448)Termination reason: Unknown
% 3.46/0.94 % (17448)Termination phase: Saturation
% 3.46/0.94
% 3.46/0.94 % (17448)Memory used [KB]: 8187
% 3.46/0.94 % (17448)Time elapsed: 0.121 s
% 3.46/0.94 % (17448)Instructions burned: 90 (million)
% 3.46/0.94 % (17448)------------------------------
% 3.46/0.94 % (17448)------------------------------
% 3.46/0.94 % (17436)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.46/0.95 % (17438)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)
% 3.46/0.96 % (17443)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)
% 3.93/0.97 % (17392)Instruction limit reached!
% 3.93/0.97 % (17392)------------------------------
% 3.93/0.97 % (17392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/0.97 % (17392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/0.97 % (17392)Termination reason: Unknown
% 3.93/0.97 % (17392)Termination phase: Saturation
% 3.93/0.97
% 3.93/0.97 % (17392)Memory used [KB]: 8443
% 3.93/0.97 % (17392)Time elapsed: 0.099 s
% 3.93/0.97 % (17392)Instructions burned: 139 (million)
% 3.93/0.97 % (17392)------------------------------
% 3.93/0.97 % (17392)------------------------------
% 3.98/0.99 % (17437)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.98/0.99 % (17477)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 (2995ds/68Mi)
% 4.10/1.01 % (17449)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)
% 4.10/1.01 % (17444)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)
% 4.10/1.02 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.10/1.02 % (17447)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)
% 4.10/1.03 % (17477)Instruction limit reached!
% 4.10/1.03 % (17477)------------------------------
% 4.10/1.03 % (17477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.10/1.03 % (17477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.10/1.03 % (17477)Termination reason: Unknown
% 4.10/1.03 % (17477)Termination phase: Saturation
% 4.10/1.03
% 4.10/1.03 % (17477)Memory used [KB]: 7675
% 4.10/1.03 % (17477)Time elapsed: 0.040 s
% 4.10/1.03 % (17477)Instructions burned: 68 (million)
% 4.10/1.03 % (17477)------------------------------
% 4.10/1.03 % (17477)------------------------------
% 4.25/1.05 % (17468)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.25/1.05 % (17451)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)
% 4.25/1.05 % (17450)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 4.25/1.06 % (17391)Instruction limit reached!
% 4.25/1.06 % (17391)------------------------------
% 4.25/1.06 % (17391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.25/1.06 % (17391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.25/1.06 % (17391)Termination reason: Unknown
% 4.25/1.06 % (17391)Termination phase: Saturation
% 4.25/1.06
% 4.25/1.06 % (17391)Memory used [KB]: 9338
% 4.25/1.06 % (17391)Time elapsed: 0.127 s
% 4.25/1.06 % (17391)Instructions burned: 176 (million)
% 4.25/1.06 % (17391)------------------------------
% 4.25/1.06 % (17391)------------------------------
% 4.25/1.06 % (17398)Instruction limit reached!
% 4.25/1.06 % (17398)------------------------------
% 4.25/1.06 % (17398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.25/1.06 % (17398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.25/1.06 % (17398)Termination reason: Unknown
% 4.25/1.06 % (17398)Termination phase: Saturation
% 4.25/1.06
% 4.25/1.06 % (17398)Memory used [KB]: 2558
% 4.25/1.06 % (17398)Time elapsed: 0.129 s
% 4.25/1.06 % (17398)Instructions burned: 178 (million)
% 4.25/1.06 % (17398)------------------------------
% 4.25/1.06 % (17398)------------------------------
% 4.25/1.07 % (17455)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)
% 4.25/1.08 % (17479)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 (2995ds/1824Mi)
% 4.25/1.08 % (17488)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.25/1.10 % (17443)Instruction limit reached!
% 4.25/1.10 % (17443)------------------------------
% 4.25/1.10 % (17443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.25/1.10 % (17443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.25/1.10 % (17443)Termination reason: Unknown
% 4.25/1.10 % (17443)Termination phase: Saturation
% 4.25/1.10
% 4.25/1.10 % (17443)Memory used [KB]: 7675
% 4.25/1.10 % (17443)Time elapsed: 0.044 s
% 4.25/1.10 % (17443)Instructions burned: 68 (million)
% 4.25/1.10 % (17443)------------------------------
% 4.25/1.10 % (17443)------------------------------
% 4.25/1.10 % (17475)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 (2995ds/4931Mi)
% 5.96/1.17 % (17433)Instruction limit reached!
% 5.96/1.17 % (17433)------------------------------
% 5.96/1.17 % (17433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.96/1.17 % (17433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.96/1.17 % (17433)Termination reason: Unknown
% 5.96/1.17 % (17433)Termination phase: Saturation
% 5.96/1.17
% 5.96/1.17 % (17433)Memory used [KB]: 9083
% 5.96/1.17 % (17433)Time elapsed: 0.475 s
% 5.96/1.17 % (17433)Instructions burned: 388 (million)
% 5.96/1.17 % (17433)------------------------------
% 5.96/1.17 % (17433)------------------------------
% 5.96/1.17 % (17484)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 6.55/1.22 % (17482)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 6.55/1.28 % (17502)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 (2993ds/2016Mi)
% 7.12/1.29 % (17495)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 (2993ds/90Mi)
% 7.12/1.30 % (17512)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 7.12/1.30 % (17506)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=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 7.12/1.30 % (17434)Instruction limit reached!
% 7.12/1.30 % (17434)------------------------------
% 7.12/1.30 % (17434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.30 % (17434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.30 % (17434)Termination reason: Unknown
% 7.12/1.30 % (17434)Termination phase: Saturation
% 7.12/1.30
% 7.12/1.30 % (17434)Memory used [KB]: 1918
% 7.12/1.30 % (17434)Time elapsed: 0.127 s
% 7.12/1.30 % (17434)Instructions burned: 211 (million)
% 7.12/1.30 % (17434)------------------------------
% 7.12/1.30 % (17434)------------------------------
% 7.12/1.30 % (17503)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.12/1.35 % (17393)Instruction limit reached!
% 7.12/1.35 % (17393)------------------------------
% 7.12/1.35 % (17393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.35 % (17393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.35 % (17393)Termination reason: Unknown
% 7.12/1.35 % (17393)Termination phase: Saturation
% 7.12/1.35
% 7.12/1.35 % (17393)Memory used [KB]: 2430
% 7.12/1.35 % (17393)Time elapsed: 0.894 s
% 7.12/1.35 % (17393)Instructions burned: 503 (million)
% 7.12/1.35 % (17393)------------------------------
% 7.12/1.35 % (17393)------------------------------
% 7.79/1.38 % (17542)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 7.96/1.41 % (17400)Instruction limit reached!
% 7.96/1.41 % (17400)------------------------------
% 7.96/1.41 % (17400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.96/1.41 % (17400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.96/1.41 % (17400)Termination reason: Unknown
% 7.96/1.41 % (17400)Termination phase: Saturation
% 7.96/1.41
% 7.96/1.41 % (17400)Memory used [KB]: 14328
% 7.96/1.41 % (17400)Time elapsed: 0.233 s
% 7.96/1.41 % (17400)Instructions burned: 356 (million)
% 7.96/1.41 % (17400)------------------------------
% 7.96/1.41 % (17400)------------------------------
% 7.96/1.41 % (17495)Instruction limit reached!
% 7.96/1.41 % (17495)------------------------------
% 7.96/1.41 % (17495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.96/1.41 % (17495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.96/1.41 % (17495)Termination reason: Unknown
% 7.96/1.41 % (17495)Termination phase: Saturation
% 7.96/1.41
% 7.96/1.41 % (17495)Memory used [KB]: 8059
% 7.96/1.41 % (17495)Time elapsed: 0.339 s
% 7.96/1.41 % (17495)Instructions burned: 91 (million)
% 7.96/1.41 % (17495)------------------------------
% 7.96/1.41 % (17495)------------------------------
% 8.08/1.43 % (17394)First to succeed.
% 8.08/1.45 % (17563)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 (2990ds/1824Mi)
% 8.08/1.51 % (17394)Refutation found. Thanks to Tanya!
% 8.08/1.51 % SZS status Theorem for theBenchmark
% 8.08/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 8.66/1.52 % (17394)------------------------------
% 8.66/1.52 % (17394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.66/1.52 % (17394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.66/1.52 % (17394)Termination reason: Refutation
% 8.66/1.52
% 8.66/1.52 % (17394)Memory used [KB]: 12665
% 8.66/1.52 % (17394)Time elapsed: 0.252 s
% 8.66/1.52 % (17394)Instructions burned: 346 (million)
% 8.66/1.52 % (17394)------------------------------
% 8.66/1.52 % (17394)------------------------------
% 8.66/1.52 % (17370)Success in time 1.152 s
%------------------------------------------------------------------------------