TSTP Solution File: ALG102+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG102+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:41 EDT 2022
% Result : Theorem 4.06s 0.99s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 466
% Syntax : Number of formulae : 1783 ( 126 unt; 0 def)
% Number of atoms : 7128 (4047 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 8718 (3373 ~;3261 |;1779 &)
% ( 305 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 451 ( 449 usr; 450 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5917,plain,
$false,
inference(avatar_sat_refutation,[],[f1375,f1401,f1452,f1498,f1606,f1635,f1847,f1866,f1871,f1890,f1895,f1900,f1918,f1938,f1971,f1993,f2015,f2033,f2084,f2085,f2091,f2094,f2095,f2102,f2105,f2135,f2141,f2164,f2184,f2198,f2200,f2208,f2315,f2316,f2322,f2324,f2342,f2362,f2363,f2369,f2459,f2460,f2469,f2470,f2490,f2497,f2584,f2585,f2594,f2616,f2631,f2641,f2740,f2741,f2763,f2765,f2776,f2779,f2813,f2814,f2815,f2817,f2824,f2840,f2846,f2855,f2858,f2861,f2865,f2866,f2876,f2879,f2882,f2884,f2900,f2903,f2910,f2919,f2920,f2938,f2941,f2942,f2943,f2945,f2946,f2947,f2970,f2972,f2974,f2975,f2982,f2983,f2985,f2988,f2993,f3006,f3013,f3018,f3019,f3020,f3023,f3026,f3037,f3040,f3041,f3042,f3044,f3046,f3047,f3049,f3050,f3051,f3052,f3057,f3063,f3068,f3083,f3166,f3167,f3170,f3174,f3180,f3181,f3182,f3185,f3195,f3196,f3213,f3218,f3219,f3220,f3221,f3246,f3250,f3251,f3257,f3260,f3263,f3267,f3271,f3312,f3321,f3332,f3335,f3337,f3369,f3383,f3390,f3394,f3399,f3400,f3403,f3406,f3408,f3414,f3432,f3435,f3443,f3444,f3446,f3450,f3451,f3457,f3461,f3467,f3472,f3477,f3494,f3495,f3500,f3502,f3506,f3507,f3510,f3512,f3528,f3529,f3530,f3533,f3537,f3545,f3546,f3558,f3560,f3561,f3562,f3589,f3593,f3595,f3609,f3613,f3621,f3629,f3630,f3632,f3647,f3661,f3664,f3666,f3667,f3673,f3677,f3679,f3680,f3703,f3704,f3710,f3715,f3721,f3765,f3767,f3773,f3774,f3777,f3783,f3786,f3791,f3797,f3798,f3800,f3803,f3808,f3810,f3812,f3814,f3817,f3824,f3830,f3834,f3838,f3850,f3861,f3868,f3884,f3915,f3916,f3917,f3918,f3919,f3926,f3927,f3945,f3950,f3956,f3962,f3963,f3964,f3980,f3987,f3993,f4001,f4007,f4008,f4009,f4010,f4011,f4017,f4029,f4050,f4066,f4077,f4080,f4084,f4093,f4101,f4116,f4126,f4130,f4136,f4153,f4155,f4159,f4161,f4165,f4169,f4173,f4175,f4202,f4206,f4247,f4253,f4275,f4282,f4294,f4301,f4336,f4341,f4365,f4372,f4373,f4379,f4382,f4393,f4395,f4399,f4406,f4428,f4444,f4447,f4449,f4467,f4487,f4513,f4556,f4558,f4572,f4580,f4622,f4627,f4636,f4661,f4669,f4680,f4690,f4724,f4730,f4779,f4783,f4815,f4838,f4846,f4852,f4858,f4861,f4866,f4868,f4873,f4875,f4887,f4905,f4907,f4921,f4930,f4943,f4951,f4997,f5003,f5033,f5047,f5068,f5123,f5153,f5154,f5158,f5161,f5168,f5171,f5184,f5192,f5270,f5274,f5279,f5291,f5319,f5320,f5363,f5376,f5382,f5392,f5397,f5404,f5417,f5422,f5432,f5440,f5449,f5455,f5467,f5473,f5529,f5553,f5556,f5570,f5591,f5595,f5621,f5676,f5687,f5728,f5729,f5738,f5743,f5815,f5848,f5873,f5912,f5916]) ).
fof(f5916,plain,
( ~ spl144_167
| ~ spl144_190
| ~ spl144_429 ),
inference(avatar_contradiction_clause,[],[f5915]) ).
fof(f5915,plain,
( $false
| ~ spl144_167
| ~ spl144_190
| ~ spl144_429 ),
inference(subsumption_resolution,[],[f5914,f328]) ).
fof(f328,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e10 != e13
& e11 != e12
& e10 != e11
& e10 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5914,plain,
( e10 = e12
| ~ spl144_167
| ~ spl144_190
| ~ spl144_429 ),
inference(forward_demodulation,[],[f5913,f2053]) ).
fof(f2053,plain,
( e10 = op1(e13,e13)
| ~ spl144_190 ),
inference(avatar_component_clause,[],[f2052]) ).
fof(f2052,plain,
( spl144_190
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_190])]) ).
fof(f5913,plain,
( e12 = op1(e13,e13)
| ~ spl144_167
| ~ spl144_429 ),
inference(forward_demodulation,[],[f3720,f1931]) ).
fof(f1931,plain,
( e13 = op1(e13,e12)
| ~ spl144_167 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1930,plain,
( spl144_167
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_167])]) ).
fof(f3720,plain,
( e12 = op1(e13,op1(e13,e12))
| ~ spl144_429 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f3718,plain,
( spl144_429
<=> e12 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_429])]) ).
fof(f5912,plain,
( ~ spl144_175
| ~ spl144_190
| ~ spl144_400 ),
inference(avatar_contradiction_clause,[],[f5911]) ).
fof(f5911,plain,
( $false
| ~ spl144_175
| ~ spl144_190
| ~ spl144_400 ),
inference(subsumption_resolution,[],[f5910,f333]) ).
fof(f333,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5910,plain,
( e12 = e13
| ~ spl144_175
| ~ spl144_190
| ~ spl144_400 ),
inference(forward_demodulation,[],[f5909,f1970]) ).
fof(f1970,plain,
( e12 = op1(e13,e10)
| ~ spl144_175 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1968,plain,
( spl144_175
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_175])]) ).
fof(f5909,plain,
( e13 = op1(e13,e10)
| ~ spl144_190
| ~ spl144_400 ),
inference(forward_demodulation,[],[f3320,f2053]) ).
fof(f3320,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl144_400 ),
inference(avatar_component_clause,[],[f3318]) ).
fof(f3318,plain,
( spl144_400
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_400])]) ).
fof(f5873,plain,
( ~ spl144_153
| spl144_183
| ~ spl144_402 ),
inference(avatar_contradiction_clause,[],[f5872]) ).
fof(f5872,plain,
( $false
| ~ spl144_153
| spl144_183
| ~ spl144_402 ),
inference(subsumption_resolution,[],[f5871,f2013]) ).
fof(f2013,plain,
( e10 != op1(e10,e13)
| spl144_183 ),
inference(avatar_component_clause,[],[f2012]) ).
fof(f2012,plain,
( spl144_183
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_183])]) ).
fof(f5871,plain,
( e10 = op1(e10,e13)
| ~ spl144_153
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3331,f1864]) ).
fof(f1864,plain,
( op1(e10,e10) = e13
| ~ spl144_153 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1862,plain,
( spl144_153
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f3331,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl144_402 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f3329,plain,
( spl144_402
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_402])]) ).
fof(f5848,plain,
( ~ spl144_190
| ~ spl144_196 ),
inference(avatar_contradiction_clause,[],[f5847]) ).
fof(f5847,plain,
( $false
| ~ spl144_190
| ~ spl144_196 ),
inference(subsumption_resolution,[],[f5846,f328]) ).
fof(f5846,plain,
( e10 = e12
| ~ spl144_190
| ~ spl144_196 ),
inference(forward_demodulation,[],[f2081,f2053]) ).
fof(f2081,plain,
( e12 = op1(e13,e13)
| ~ spl144_196 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2080,plain,
( spl144_196
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_196])]) ).
fof(f5815,plain,
( ~ spl144_2
| ~ spl144_331 ),
inference(avatar_split_clause,[],[f5814,f2771,f1199]) ).
fof(f1199,plain,
( spl144_2
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_2])]) ).
fof(f2771,plain,
( spl144_331
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_331])]) ).
fof(f5814,plain,
( e11 != op1(e12,e12)
| ~ spl144_331 ),
inference(forward_demodulation,[],[f1161,f2773]) ).
fof(f2773,plain,
( e11 = op1(e12,e13)
| ~ spl144_331 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f1161,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e10) != op1(e13,e10)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e10,e11) != op1(e10,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e10,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5743,plain,
( spl144_420
| ~ spl144_11 ),
inference(avatar_split_clause,[],[f5741,f1238,f3617]) ).
fof(f3617,plain,
( spl144_420
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_420])]) ).
fof(f1238,plain,
( spl144_11
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_11])]) ).
fof(f5741,plain,
( e21 = h3(e12)
| ~ spl144_11 ),
inference(backward_demodulation,[],[f1020,f1240]) ).
fof(f1240,plain,
( e21 = op2(e22,e22)
| ~ spl144_11 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1020,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))
& op2(op2(e22,e22),e22) = h3(e13)
& e22 = h3(e11)
& op2(e22,e22) = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f5738,plain,
( ~ spl144_2
| ~ spl144_276 ),
inference(avatar_contradiction_clause,[],[f5737]) ).
fof(f5737,plain,
( $false
| ~ spl144_2
| ~ spl144_276 ),
inference(subsumption_resolution,[],[f5736,f330]) ).
fof(f330,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5736,plain,
( e11 = e12
| ~ spl144_2
| ~ spl144_276 ),
inference(forward_demodulation,[],[f2486,f1201]) ).
fof(f1201,plain,
( e11 = op1(e12,e12)
| ~ spl144_2 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f2486,plain,
( e12 = op1(e12,e12)
| ~ spl144_276 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2484,plain,
( spl144_276
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_276])]) ).
fof(f5729,plain,
( ~ spl144_159
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f5721,f2587,f1892]) ).
fof(f1892,plain,
( spl144_159
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_159])]) ).
fof(f2587,plain,
( spl144_298
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_298])]) ).
fof(f5721,plain,
( e22 != op2(e22,e21)
| ~ spl144_298 ),
inference(backward_demodulation,[],[f2842,f2588]) ).
fof(f2588,plain,
( e22 = h2(e12)
| ~ spl144_298 ),
inference(avatar_component_clause,[],[f2587]) ).
fof(f2842,plain,
op2(e22,e21) != h2(e12),
inference(backward_demodulation,[],[f1062,f1016]) ).
fof(f1016,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e21 = h2(e11)
& op2(op2(e21,e21),e21) = h2(e13)
& op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10)
& op2(e21,e21) = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f1062,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e22) != op2(e21,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e21) != op2(e23,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e23,e22) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e21,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e23) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5728,plain,
( spl144_20
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f5722,f2587,f1278]) ).
fof(f1278,plain,
( spl144_20
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_20])]) ).
fof(f5722,plain,
( e23 = op2(e22,e21)
| ~ spl144_298 ),
inference(backward_demodulation,[],[f2843,f2588]) ).
fof(f2843,plain,
e23 = op2(h2(e12),e21),
inference(backward_demodulation,[],[f1076,f1016]) ).
fof(f1076,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))
& e22 = op2(e21,e21)
& e23 = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f5687,plain,
( spl144_298
| ~ spl144_274 ),
inference(avatar_split_clause,[],[f5597,f2473,f2587]) ).
fof(f2473,plain,
( spl144_274
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_274])]) ).
fof(f5597,plain,
( e22 = h2(e12)
| ~ spl144_274 ),
inference(forward_demodulation,[],[f1016,f2475]) ).
fof(f2475,plain,
( e22 = op2(e21,e21)
| ~ spl144_274 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f5676,plain,
( ~ spl144_331
| ~ spl144_163 ),
inference(avatar_split_clause,[],[f5675,f1911,f2771]) ).
fof(f1911,plain,
( spl144_163
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_163])]) ).
fof(f5675,plain,
( e11 != op1(e12,e13)
| ~ spl144_163 ),
inference(forward_demodulation,[],[f1157,f1913]) ).
fof(f1913,plain,
( e11 = op1(e11,e13)
| ~ spl144_163 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f1157,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5621,plain,
( ~ spl144_9
| ~ spl144_304 ),
inference(avatar_contradiction_clause,[],[f5620]) ).
fof(f5620,plain,
( $false
| ~ spl144_9
| ~ spl144_304 ),
inference(subsumption_resolution,[],[f5619,f625]) ).
fof(f625,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e20 != e23
& e20 != e21
& e21 != e22
& e21 != e23
& e20 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f5619,plain,
( e20 = e21
| ~ spl144_9
| ~ spl144_304 ),
inference(backward_demodulation,[],[f1232,f2626]) ).
fof(f2626,plain,
( e20 = op2(e21,e22)
| ~ spl144_304 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f2624,plain,
( spl144_304
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_304])]) ).
fof(f1232,plain,
( e21 = op2(e21,e22)
| ~ spl144_9 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1230,plain,
( spl144_9
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_9])]) ).
fof(f5595,plain,
( spl144_194
| ~ spl144_47 ),
inference(avatar_split_clause,[],[f5594,f1398,f2071]) ).
fof(f2071,plain,
( spl144_194
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_194])]) ).
fof(f1398,plain,
( spl144_47
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_47])]) ).
fof(f5594,plain,
( e20 = h1(e12)
| ~ spl144_47 ),
inference(backward_demodulation,[],[f949,f1400]) ).
fof(f1400,plain,
( e20 = op2(e20,e20)
| ~ spl144_47 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f949,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))
& op2(op2(e20,e20),e20) = h1(e13)
& op2(e20,e20) = h1(e12)
& e20 = h1(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f5591,plain,
( spl144_326
| ~ spl144_21 ),
inference(avatar_split_clause,[],[f5590,f1282,f2731]) ).
fof(f2731,plain,
( spl144_326
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_326])]) ).
fof(f1282,plain,
( spl144_21
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_21])]) ).
fof(f5590,plain,
( e23 = h3(e12)
| ~ spl144_21 ),
inference(forward_demodulation,[],[f1020,f1284]) ).
fof(f1284,plain,
( e23 = op2(e22,e22)
| ~ spl144_21 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f5570,plain,
( spl144_21
| ~ spl144_27
| ~ spl144_412 ),
inference(avatar_split_clause,[],[f5569,f3469,f1308,f1282]) ).
fof(f1308,plain,
( spl144_27
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_27])]) ).
fof(f3469,plain,
( spl144_412
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_412])]) ).
fof(f5569,plain,
( e23 = op2(e22,e22)
| ~ spl144_27
| ~ spl144_412 ),
inference(forward_demodulation,[],[f3471,f1310]) ).
fof(f1310,plain,
( e22 = op2(e22,e23)
| ~ spl144_27 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f3471,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ spl144_412 ),
inference(avatar_component_clause,[],[f3469]) ).
fof(f5556,plain,
( ~ spl144_216
| ~ spl144_305
| ~ spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5555]) ).
fof(f5555,plain,
( $false
| ~ spl144_216
| ~ spl144_305
| ~ spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5554,f626]) ).
fof(f626,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5554,plain,
( e20 = e23
| ~ spl144_216
| ~ spl144_305
| ~ spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5367,f2630]) ).
fof(f2630,plain,
( e20 = op2(e21,e20)
| ~ spl144_305 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f2628,plain,
( spl144_305
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_305])]) ).
fof(f5367,plain,
( e23 = op2(e21,e20)
| ~ spl144_216
| ~ spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5366,f2196]) ).
fof(f2196,plain,
( e23 = h2(e13)
| ~ spl144_216 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2195,plain,
( spl144_216
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_216])]) ).
fof(f5366,plain,
( op2(e21,e20) = h2(e13)
| ~ spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5365,f3226]) ).
fof(f3226,plain,
( e13 = op1(e11,e10)
| ~ spl144_390 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f3224,plain,
( spl144_390
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_390])]) ).
fof(f5365,plain,
( op2(e21,e20) = h2(op1(e11,e10))
| ~ spl144_317
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2690,f3693]) ).
fof(f3693,plain,
( e20 = h2(e10)
| ~ spl144_425 ),
inference(avatar_component_clause,[],[f3692]) ).
fof(f3692,plain,
( spl144_425
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_425])]) ).
fof(f2690,plain,
( h2(op1(e11,e10)) = op2(e21,h2(e10))
| ~ spl144_317 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f2689,plain,
( spl144_317
<=> h2(op1(e11,e10)) = op2(e21,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_317])]) ).
fof(f5553,plain,
( ~ spl144_13
| ~ spl144_421 ),
inference(avatar_contradiction_clause,[],[f5552]) ).
fof(f5552,plain,
( $false
| ~ spl144_13
| ~ spl144_421 ),
inference(subsumption_resolution,[],[f5551,f3627]) ).
fof(f3627,plain,
( e21 = op2(e22,e20)
| ~ spl144_421 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3625,plain,
( spl144_421
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_421])]) ).
fof(f5551,plain,
( e21 != op2(e22,e20)
| ~ spl144_13 ),
inference(forward_demodulation,[],[f3565,f1248]) ).
fof(f1248,plain,
( e21 = h1(e12)
| ~ spl144_13 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl144_13
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_13])]) ).
fof(f3565,plain,
op2(e22,e20) != h1(e12),
inference(backward_demodulation,[],[f1035,f949]) ).
fof(f1035,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5529,plain,
( ~ spl144_71
| ~ spl144_202
| ~ spl144_411 ),
inference(avatar_contradiction_clause,[],[f5528]) ).
fof(f5528,plain,
( $false
| ~ spl144_71
| ~ spl144_202
| ~ spl144_411 ),
inference(subsumption_resolution,[],[f5527,f626]) ).
fof(f5527,plain,
( e20 = e23
| ~ spl144_71
| ~ spl144_202
| ~ spl144_411 ),
inference(forward_demodulation,[],[f5526,f1511]) ).
fof(f1511,plain,
( e20 = op2(e20,e21)
| ~ spl144_71 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1509,plain,
( spl144_71
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_71])]) ).
fof(f5526,plain,
( e23 = op2(e20,e21)
| ~ spl144_202
| ~ spl144_411 ),
inference(forward_demodulation,[],[f3442,f2126]) ).
fof(f2126,plain,
( e21 = op2(e20,e23)
| ~ spl144_202 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f2124,plain,
( spl144_202
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_202])]) ).
fof(f3442,plain,
( e23 = op2(e20,op2(e20,e23))
| ~ spl144_411 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f3440,plain,
( spl144_411
<=> e23 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_411])]) ).
fof(f5473,plain,
( ~ spl144_189
| ~ spl144_163
| ~ spl144_216
| spl144_312 ),
inference(avatar_split_clause,[],[f5472,f2669,f2195,f1911,f2047]) ).
fof(f2047,plain,
( spl144_189
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_189])]) ).
fof(f2669,plain,
( spl144_312
<=> h2(op1(e11,e13)) = op2(e21,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_312])]) ).
fof(f5472,plain,
( e21 != op2(e21,e23)
| ~ spl144_163
| ~ spl144_216
| spl144_312 ),
inference(forward_demodulation,[],[f5471,f1019]) ).
fof(f1019,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f5471,plain,
( op2(e21,e23) != h2(e11)
| ~ spl144_163
| ~ spl144_216
| spl144_312 ),
inference(forward_demodulation,[],[f5470,f1913]) ).
fof(f5470,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl144_216
| spl144_312 ),
inference(forward_demodulation,[],[f2671,f2196]) ).
fof(f2671,plain,
( h2(op1(e11,e13)) != op2(e21,h2(e13))
| spl144_312 ),
inference(avatar_component_clause,[],[f2669]) ).
fof(f5467,plain,
( ~ spl144_82
| ~ spl144_216
| spl144_426 ),
inference(avatar_contradiction_clause,[],[f5466]) ).
fof(f5466,plain,
( $false
| ~ spl144_82
| ~ spl144_216
| spl144_426 ),
inference(subsumption_resolution,[],[f5465,f2196]) ).
fof(f5465,plain,
( e23 != h2(e13)
| ~ spl144_82
| spl144_426 ),
inference(forward_demodulation,[],[f3698,f1563]) ).
fof(f1563,plain,
( e13 = op1(e12,e11)
| ~ spl144_82 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1561,plain,
( spl144_82
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_82])]) ).
fof(f3698,plain,
( e23 != h2(op1(e12,e11))
| spl144_426 ),
inference(avatar_component_clause,[],[f3696]) ).
fof(f3696,plain,
( spl144_426
<=> e23 = h2(op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_426])]) ).
fof(f5455,plain,
( ~ spl144_52
| spl144_427 ),
inference(avatar_contradiction_clause,[],[f5454]) ).
fof(f5454,plain,
( $false
| ~ spl144_52
| spl144_427 ),
inference(trivial_inequality_removal,[],[f5453]) ).
fof(f5453,plain,
( h2(e12) != h2(e12)
| ~ spl144_52
| spl144_427 ),
inference(forward_demodulation,[],[f3702,f1423]) ).
fof(f1423,plain,
( e12 = op1(e11,e11)
| ~ spl144_52 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1421,plain,
( spl144_52
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_52])]) ).
fof(f3702,plain,
( h2(e12) != h2(op1(e11,e11))
| spl144_427 ),
inference(avatar_component_clause,[],[f3700]) ).
fof(f3700,plain,
( spl144_427
<=> h2(e12) = h2(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_427])]) ).
fof(f5449,plain,
( ~ spl144_57
| ~ spl144_152
| spl144_323
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5448]) ).
fof(f5448,plain,
( $false
| ~ spl144_57
| ~ spl144_152
| spl144_323
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5447,f1445]) ).
fof(f1445,plain,
( op2(e20,e20) = e21
| ~ spl144_57 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl144_57
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_57])]) ).
fof(f5447,plain,
( op2(e20,e20) != e21
| ~ spl144_152
| spl144_323
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5446,f1019]) ).
fof(f5446,plain,
( op2(e20,e20) != h2(e11)
| ~ spl144_152
| spl144_323
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5445,f1860]) ).
fof(f1860,plain,
( op1(e10,e10) = e11
| ~ spl144_152 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1858,plain,
( spl144_152
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f5445,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl144_323
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2715,f3693]) ).
fof(f2715,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl144_323 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f2713,plain,
( spl144_323
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_323])]) ).
fof(f5440,plain,
( ~ spl144_49
| ~ spl144_71
| spl144_325
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5439]) ).
fof(f5439,plain,
( $false
| ~ spl144_49
| ~ spl144_71
| spl144_325
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5438,f1511]) ).
fof(f5438,plain,
( e20 != op2(e20,e21)
| ~ spl144_49
| spl144_325
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5437,f3693]) ).
fof(f5437,plain,
( op2(e20,e21) != h2(e10)
| ~ spl144_49
| spl144_325
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5436,f1409]) ).
fof(f1409,plain,
( e10 = op1(e10,e11)
| ~ spl144_49 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl144_49
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_49])]) ).
fof(f5436,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl144_325
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2723,f3693]) ).
fof(f2723,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| spl144_325 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f2721,plain,
( spl144_325
<=> h2(op1(e10,e11)) = op2(h2(e10),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_325])]) ).
fof(f5432,plain,
( ~ spl144_25
| ~ spl144_27
| ~ spl144_216
| ~ spl144_298
| spl144_321 ),
inference(avatar_contradiction_clause,[],[f5431]) ).
fof(f5431,plain,
( $false
| ~ spl144_25
| ~ spl144_27
| ~ spl144_216
| ~ spl144_298
| spl144_321 ),
inference(subsumption_resolution,[],[f5430,f1310]) ).
fof(f5430,plain,
( e22 != op2(e22,e23)
| ~ spl144_25
| ~ spl144_216
| ~ spl144_298
| spl144_321 ),
inference(forward_demodulation,[],[f5429,f2588]) ).
fof(f5429,plain,
( op2(e22,e23) != h2(e12)
| ~ spl144_25
| ~ spl144_216
| ~ spl144_298
| spl144_321 ),
inference(forward_demodulation,[],[f5428,f1300]) ).
fof(f1300,plain,
( e12 = op1(e12,e13)
| ~ spl144_25 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl144_25
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_25])]) ).
fof(f5428,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| ~ spl144_216
| ~ spl144_298
| spl144_321 ),
inference(forward_demodulation,[],[f5427,f2588]) ).
fof(f5427,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| ~ spl144_216
| spl144_321 ),
inference(forward_demodulation,[],[f2707,f2196]) ).
fof(f2707,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl144_321 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2705,plain,
( spl144_321
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_321])]) ).
fof(f5422,plain,
( ~ spl144_94
| ~ spl144_298
| ~ spl144_304
| spl144_322
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5421]) ).
fof(f5421,plain,
( $false
| ~ spl144_94
| ~ spl144_298
| ~ spl144_304
| spl144_322
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5420,f2626]) ).
fof(f5420,plain,
( e20 != op2(e21,e22)
| ~ spl144_94
| ~ spl144_298
| spl144_322
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5419,f3693]) ).
fof(f5419,plain,
( op2(e21,e22) != h2(e10)
| ~ spl144_94
| ~ spl144_298
| spl144_322 ),
inference(forward_demodulation,[],[f5418,f1618]) ).
fof(f1618,plain,
( e10 = op1(e11,e12)
| ~ spl144_94 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1616,plain,
( spl144_94
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_94])]) ).
fof(f5418,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| ~ spl144_298
| spl144_322 ),
inference(forward_demodulation,[],[f2711,f2588]) ).
fof(f2711,plain,
( h2(op1(e11,e12)) != op2(e21,h2(e12))
| spl144_322 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f2709,plain,
( spl144_322
<=> h2(op1(e11,e12)) = op2(e21,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_322])]) ).
fof(f5417,plain,
( ~ spl144_298
| spl144_318
| ~ spl144_340
| ~ spl144_360
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5416]) ).
fof(f5416,plain,
( $false
| ~ spl144_298
| spl144_318
| ~ spl144_340
| ~ spl144_360
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5415,f3036]) ).
fof(f3036,plain,
( e20 = op2(e22,e20)
| ~ spl144_360 ),
inference(avatar_component_clause,[],[f3034]) ).
fof(f3034,plain,
( spl144_360
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_360])]) ).
fof(f5415,plain,
( e20 != op2(e22,e20)
| ~ spl144_298
| spl144_318
| ~ spl144_340
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5414,f3693]) ).
fof(f5414,plain,
( op2(e22,e20) != h2(e10)
| ~ spl144_298
| spl144_318
| ~ spl144_340
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5413,f2839]) ).
fof(f2839,plain,
( e10 = op1(e12,e10)
| ~ spl144_340 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f2837,plain,
( spl144_340
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_340])]) ).
fof(f5413,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl144_298
| spl144_318
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5412,f2588]) ).
fof(f5412,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl144_318
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2695,f3693]) ).
fof(f2695,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl144_318 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f2693,plain,
( spl144_318
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_318])]) ).
fof(f5404,plain,
( ~ spl144_175
| ~ spl144_193
| ~ spl144_216
| ~ spl144_298
| spl144_319
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5403]) ).
fof(f5403,plain,
( $false
| ~ spl144_175
| ~ spl144_193
| ~ spl144_216
| ~ spl144_298
| spl144_319
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5402,f2067]) ).
fof(f2067,plain,
( e22 = op2(e23,e20)
| ~ spl144_193 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f2065,plain,
( spl144_193
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_193])]) ).
fof(f5402,plain,
( e22 != op2(e23,e20)
| ~ spl144_175
| ~ spl144_216
| ~ spl144_298
| spl144_319
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5401,f2588]) ).
fof(f5401,plain,
( op2(e23,e20) != h2(e12)
| ~ spl144_175
| ~ spl144_216
| spl144_319
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5400,f1970]) ).
fof(f5400,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl144_216
| spl144_319
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5399,f2196]) ).
fof(f5399,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl144_319
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2699,f3693]) ).
fof(f2699,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl144_319 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f2697,plain,
( spl144_319
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f5397,plain,
( ~ spl144_44
| ~ spl144_216
| spl144_316
| ~ spl144_346 ),
inference(avatar_contradiction_clause,[],[f5396]) ).
fof(f5396,plain,
( $false
| ~ spl144_44
| ~ spl144_216
| spl144_316
| ~ spl144_346 ),
inference(subsumption_resolution,[],[f5395,f2908]) ).
fof(f2908,plain,
( e21 = op2(e23,e21)
| ~ spl144_346 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f2906,plain,
( spl144_346
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_346])]) ).
fof(f5395,plain,
( e21 != op2(e23,e21)
| ~ spl144_44
| ~ spl144_216
| spl144_316 ),
inference(forward_demodulation,[],[f5394,f1019]) ).
fof(f5394,plain,
( op2(e23,e21) != h2(e11)
| ~ spl144_44
| ~ spl144_216
| spl144_316 ),
inference(forward_demodulation,[],[f5393,f1387]) ).
fof(f1387,plain,
( e11 = op1(e13,e11)
| ~ spl144_44 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl144_44
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_44])]) ).
fof(f5393,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl144_216
| spl144_316 ),
inference(forward_demodulation,[],[f2687,f2196]) ).
fof(f2687,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl144_316 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f2685,plain,
( spl144_316
<=> h2(op1(e13,e11)) = op2(h2(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f5392,plain,
( ~ spl144_190
| spl144_314
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5391]) ).
fof(f5391,plain,
( $false
| ~ spl144_190
| spl144_314
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5390,f3693]) ).
fof(f5390,plain,
( e20 != h2(e10)
| ~ spl144_190
| spl144_314 ),
inference(forward_demodulation,[],[f2679,f2053]) ).
fof(f2679,plain,
( e20 != h2(op1(e13,e13))
| spl144_314 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f2677,plain,
( spl144_314
<=> e20 = h2(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_314])]) ).
fof(f5382,plain,
( ~ spl144_167
| ~ spl144_182
| ~ spl144_216
| ~ spl144_298
| spl144_311 ),
inference(avatar_contradiction_clause,[],[f5381]) ).
fof(f5381,plain,
( $false
| ~ spl144_167
| ~ spl144_182
| ~ spl144_216
| ~ spl144_298
| spl144_311 ),
inference(subsumption_resolution,[],[f5380,f2008]) ).
fof(f2008,plain,
( e23 = op2(e23,e22)
| ~ spl144_182 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2007,plain,
( spl144_182
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_182])]) ).
fof(f5380,plain,
( e23 != op2(e23,e22)
| ~ spl144_167
| ~ spl144_216
| ~ spl144_298
| spl144_311 ),
inference(forward_demodulation,[],[f5379,f2196]) ).
fof(f5379,plain,
( op2(e23,e22) != h2(e13)
| ~ spl144_167
| ~ spl144_216
| ~ spl144_298
| spl144_311 ),
inference(forward_demodulation,[],[f5378,f1931]) ).
fof(f5378,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| ~ spl144_216
| ~ spl144_298
| spl144_311 ),
inference(forward_demodulation,[],[f5377,f2196]) ).
fof(f5377,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl144_298
| spl144_311 ),
inference(forward_demodulation,[],[f2667,f2588]) ).
fof(f2667,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl144_311 ),
inference(avatar_component_clause,[],[f2665]) ).
fof(f2665,plain,
( spl144_311
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_311])]) ).
fof(f5376,plain,
( ~ spl144_2
| ~ spl144_11
| ~ spl144_298
| spl144_310 ),
inference(avatar_contradiction_clause,[],[f5375]) ).
fof(f5375,plain,
( $false
| ~ spl144_2
| ~ spl144_11
| ~ spl144_298
| spl144_310 ),
inference(subsumption_resolution,[],[f5374,f1240]) ).
fof(f5374,plain,
( e21 != op2(e22,e22)
| ~ spl144_2
| ~ spl144_298
| spl144_310 ),
inference(forward_demodulation,[],[f5373,f1019]) ).
fof(f5373,plain,
( op2(e22,e22) != h2(e11)
| ~ spl144_2
| ~ spl144_298
| spl144_310 ),
inference(forward_demodulation,[],[f5372,f1201]) ).
fof(f5372,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| ~ spl144_298
| spl144_310 ),
inference(forward_demodulation,[],[f2663,f2588]) ).
fof(f2663,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl144_310 ),
inference(avatar_component_clause,[],[f2661]) ).
fof(f2661,plain,
( spl144_310
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_310])]) ).
fof(f5363,plain,
( ~ spl144_203
| ~ spl144_216
| spl144_309
| ~ spl144_342
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5362]) ).
fof(f5362,plain,
( $false
| ~ spl144_203
| ~ spl144_216
| spl144_309
| ~ spl144_342
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5361,f2130]) ).
fof(f2130,plain,
( e23 = op2(e20,e23)
| ~ spl144_203 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2128,plain,
( spl144_203
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_203])]) ).
fof(f5361,plain,
( e23 != op2(e20,e23)
| ~ spl144_216
| spl144_309
| ~ spl144_342
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5360,f2196]) ).
fof(f5360,plain,
( op2(e20,e23) != h2(e13)
| ~ spl144_216
| spl144_309
| ~ spl144_342
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5359,f2854]) ).
fof(f2854,plain,
( e13 = op1(e10,e13)
| ~ spl144_342 ),
inference(avatar_component_clause,[],[f2852]) ).
fof(f2852,plain,
( spl144_342
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_342])]) ).
fof(f5359,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| ~ spl144_216
| spl144_309
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5358,f3693]) ).
fof(f5358,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| ~ spl144_216
| spl144_309 ),
inference(forward_demodulation,[],[f2659,f2196]) ).
fof(f2659,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl144_309 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f2657,plain,
( spl144_309
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_309])]) ).
fof(f5320,plain,
( spl144_11
| ~ spl144_420 ),
inference(avatar_split_clause,[],[f5316,f3617,f1238]) ).
fof(f5316,plain,
( e21 = op2(e22,e22)
| ~ spl144_420 ),
inference(backward_demodulation,[],[f1020,f3618]) ).
fof(f3618,plain,
( e21 = h3(e12)
| ~ spl144_420 ),
inference(avatar_component_clause,[],[f3617]) ).
fof(f5319,plain,
( spl144_159
| ~ spl144_419
| ~ spl144_420 ),
inference(avatar_contradiction_clause,[],[f5318]) ).
fof(f5318,plain,
( $false
| spl144_159
| ~ spl144_419
| ~ spl144_420 ),
inference(subsumption_resolution,[],[f5317,f1893]) ).
fof(f1893,plain,
( e22 != op2(e22,e21)
| spl144_159 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f5317,plain,
( e22 = op2(e22,e21)
| ~ spl144_419
| ~ spl144_420 ),
inference(backward_demodulation,[],[f3608,f3618]) ).
fof(f3608,plain,
( e22 = op2(e22,h3(e12))
| ~ spl144_419 ),
inference(avatar_component_clause,[],[f3606]) ).
fof(f3606,plain,
( spl144_419
<=> e22 = op2(e22,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_419])]) ).
fof(f5291,plain,
( ~ spl144_216
| spl144_317
| ~ spl144_362
| ~ spl144_390
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f5290]) ).
fof(f5290,plain,
( $false
| ~ spl144_216
| spl144_317
| ~ spl144_362
| ~ spl144_390
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f5251,f3062]) ).
fof(f3062,plain,
( e23 = op2(e21,e20)
| ~ spl144_362 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f3060,plain,
( spl144_362
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f5251,plain,
( e23 != op2(e21,e20)
| ~ spl144_216
| spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5250,f2196]) ).
fof(f5250,plain,
( op2(e21,e20) != h2(e13)
| spl144_317
| ~ spl144_390
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5249,f3226]) ).
fof(f5249,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl144_317
| ~ spl144_425 ),
inference(forward_demodulation,[],[f2691,f3693]) ).
fof(f2691,plain,
( h2(op1(e11,e10)) != op2(e21,h2(e10))
| spl144_317 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f5279,plain,
( ~ spl144_273
| ~ spl144_189 ),
inference(avatar_split_clause,[],[f5277,f2047,f2466]) ).
fof(f2466,plain,
( spl144_273
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_273])]) ).
fof(f5277,plain,
( e21 != op2(e22,e23)
| ~ spl144_189 ),
inference(backward_demodulation,[],[f1071,f2048]) ).
fof(f2048,plain,
( e21 = op2(e21,e23)
| ~ spl144_189 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f1071,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5274,plain,
( ~ spl144_22
| ~ spl144_20 ),
inference(avatar_split_clause,[],[f5273,f1278,f1286]) ).
fof(f1286,plain,
( spl144_22
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_22])]) ).
fof(f5273,plain,
( e23 != op2(e22,e23)
| ~ spl144_20 ),
inference(forward_demodulation,[],[f1061,f1280]) ).
fof(f1280,plain,
( e23 = op2(e22,e21)
| ~ spl144_20 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1061,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5270,plain,
( spl144_57
| ~ spl144_71
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f5269,f3707,f1509,f1444]) ).
fof(f3707,plain,
( spl144_428
<=> e21 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_428])]) ).
fof(f5269,plain,
( op2(e20,e20) = e21
| ~ spl144_71
| ~ spl144_428 ),
inference(forward_demodulation,[],[f3709,f1511]) ).
fof(f3709,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ spl144_428 ),
inference(avatar_component_clause,[],[f3707]) ).
fof(f5192,plain,
( ~ spl144_241
| ~ spl144_327 ),
inference(avatar_split_clause,[],[f5191,f2736,f2302]) ).
fof(f2302,plain,
( spl144_241
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_241])]) ).
fof(f2736,plain,
( spl144_327
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_327])]) ).
fof(f5191,plain,
( e23 != op2(e23,e20)
| ~ spl144_327 ),
inference(forward_demodulation,[],[f3567,f2737]) ).
fof(f2737,plain,
( e23 = h1(e12)
| ~ spl144_327 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f3567,plain,
op2(e23,e20) != h1(e12),
inference(backward_demodulation,[],[f1048,f949]) ).
fof(f1048,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5184,plain,
( spl144_29
| ~ spl144_215
| ~ spl144_297 ),
inference(avatar_contradiction_clause,[],[f5183]) ).
fof(f5183,plain,
( $false
| spl144_29
| ~ spl144_215
| ~ spl144_297 ),
inference(subsumption_resolution,[],[f5182,f1320]) ).
fof(f1320,plain,
( e20 != op2(e20,e23)
| spl144_29 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl144_29
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_29])]) ).
fof(f5182,plain,
( e20 = op2(e20,e23)
| ~ spl144_215
| ~ spl144_297 ),
inference(forward_demodulation,[],[f2583,f2191]) ).
fof(f2191,plain,
( op2(e20,e20) = e23
| ~ spl144_215 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2190,plain,
( spl144_215
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_215])]) ).
fof(f2583,plain,
( e20 = op2(e20,op2(e20,e20))
| ~ spl144_297 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f2581,plain,
( spl144_297
<=> e20 = op2(e20,op2(e20,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_297])]) ).
fof(f5171,plain,
( ~ spl144_206
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f5030,f3692,f2143]) ).
fof(f2143,plain,
( spl144_206
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_206])]) ).
fof(f5030,plain,
( e20 != op2(e23,e20)
| ~ spl144_425 ),
inference(forward_demodulation,[],[f3490,f3693]) ).
fof(f3490,plain,
op2(e23,e20) != h2(e10),
inference(backward_demodulation,[],[f3234,f3485]) ).
fof(f3485,plain,
h2(e10) = h4(e12),
inference(backward_demodulation,[],[f1027,f3484]) ).
fof(f3484,plain,
op2(e23,e23) = h2(e10),
inference(forward_demodulation,[],[f3483,f2843]) ).
fof(f3483,plain,
h2(e10) = op2(op2(h2(e12),e21),op2(h2(e12),e21)),
inference(forward_demodulation,[],[f1017,f1016]) ).
fof(f1017,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f1027,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e12)
& op2(op2(e23,e23),e23) = h4(e13)
& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))
& e23 = h4(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f3234,plain,
op2(e23,e20) != h4(e12),
inference(backward_demodulation,[],[f1039,f1027]) ).
fof(f1039,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5168,plain,
( spl144_77
| ~ spl144_364 ),
inference(avatar_contradiction_clause,[],[f5167]) ).
fof(f5167,plain,
( $false
| spl144_77
| ~ spl144_364 ),
inference(subsumption_resolution,[],[f5166,f1539]) ).
fof(f1539,plain,
( e20 != op2(e22,e22)
| spl144_77 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1538,plain,
( spl144_77
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_77])]) ).
fof(f5166,plain,
( e20 = op2(e22,e22)
| ~ spl144_364 ),
inference(backward_demodulation,[],[f1020,f3071]) ).
fof(f3071,plain,
( e20 = h3(e12)
| ~ spl144_364 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f3070,plain,
( spl144_364
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_364])]) ).
fof(f5161,plain,
( ~ spl144_332
| ~ spl144_343 ),
inference(avatar_contradiction_clause,[],[f5160]) ).
fof(f5160,plain,
( $false
| ~ spl144_332
| ~ spl144_343 ),
inference(subsumption_resolution,[],[f5159,f622]) ).
fof(f622,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5159,plain,
( e20 = e22
| ~ spl144_332
| ~ spl144_343 ),
inference(forward_demodulation,[],[f2872,f2785]) ).
fof(f2785,plain,
( e20 = h4(e12)
| ~ spl144_332 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f2784,plain,
( spl144_332
<=> e20 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_332])]) ).
fof(f2872,plain,
( e22 = h4(e12)
| ~ spl144_343 ),
inference(avatar_component_clause,[],[f2871]) ).
fof(f2871,plain,
( spl144_343
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_343])]) ).
fof(f5158,plain,
( ~ spl144_326
| ~ spl144_20 ),
inference(avatar_split_clause,[],[f5157,f1278,f2731]) ).
fof(f5157,plain,
( e23 != h3(e12)
| ~ spl144_20 ),
inference(forward_demodulation,[],[f3549,f1280]) ).
fof(f3549,plain,
op2(e22,e21) != h3(e12),
inference(backward_demodulation,[],[f1056,f1020]) ).
fof(f1056,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5154,plain,
( ~ spl144_364
| ~ spl144_304 ),
inference(avatar_split_clause,[],[f4956,f2624,f3070]) ).
fof(f4956,plain,
( e20 != h3(e12)
| ~ spl144_304 ),
inference(forward_demodulation,[],[f3553,f2626]) ).
fof(f3553,plain,
op2(e21,e22) != h3(e12),
inference(backward_demodulation,[],[f1057,f1020]) ).
fof(f1057,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5153,plain,
( ~ spl144_169
| spl144_275
| ~ spl144_346 ),
inference(avatar_contradiction_clause,[],[f5152]) ).
fof(f5152,plain,
( $false
| ~ spl144_169
| spl144_275
| ~ spl144_346 ),
inference(subsumption_resolution,[],[f5151,f2481]) ).
fof(f2481,plain,
( e21 != e23
| spl144_275 ),
inference(avatar_component_clause,[],[f2479]) ).
fof(f2479,plain,
( spl144_275
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_275])]) ).
fof(f5151,plain,
( e21 = e23
| ~ spl144_169
| ~ spl144_346 ),
inference(forward_demodulation,[],[f1942,f2908]) ).
fof(f1942,plain,
( e23 = op2(e23,e21)
| ~ spl144_169 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1940,plain,
( spl144_169
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_169])]) ).
fof(f5123,plain,
( ~ spl144_29
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f4713,f3692,f1318]) ).
fof(f4713,plain,
( e20 != op2(e20,e23)
| ~ spl144_425 ),
inference(forward_demodulation,[],[f3487,f3693]) ).
fof(f3487,plain,
op2(e20,e23) != h2(e10),
inference(backward_demodulation,[],[f3231,f3485]) ).
fof(f3231,plain,
op2(e20,e23) != h4(e12),
inference(backward_demodulation,[],[f1028,f1027]) ).
fof(f1028,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5068,plain,
( ~ spl144_360
| ~ spl144_421 ),
inference(avatar_contradiction_clause,[],[f5067]) ).
fof(f5067,plain,
( $false
| ~ spl144_360
| ~ spl144_421 ),
inference(subsumption_resolution,[],[f5066,f625]) ).
fof(f5066,plain,
( e20 = e21
| ~ spl144_360
| ~ spl144_421 ),
inference(forward_demodulation,[],[f3627,f3036]) ).
fof(f5047,plain,
( ~ spl144_298
| ~ spl144_68
| ~ spl144_249
| ~ spl144_298
| spl144_320
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f5046,f3692,f2701,f2587,f2358,f1495,f2587]) ).
fof(f1495,plain,
( spl144_68
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_68])]) ).
fof(f2358,plain,
( spl144_249
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_249])]) ).
fof(f2701,plain,
( spl144_320
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_320])]) ).
fof(f5046,plain,
( e22 != h2(e12)
| ~ spl144_68
| ~ spl144_249
| ~ spl144_298
| spl144_320
| ~ spl144_425 ),
inference(forward_demodulation,[],[f4977,f2360]) ).
fof(f2360,plain,
( e22 = op2(e20,e22)
| ~ spl144_249 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f4977,plain,
( op2(e20,e22) != h2(e12)
| ~ spl144_68
| ~ spl144_298
| spl144_320
| ~ spl144_425 ),
inference(forward_demodulation,[],[f4560,f1497]) ).
fof(f1497,plain,
( e12 = op1(e10,e12)
| ~ spl144_68 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f4560,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl144_298
| spl144_320
| ~ spl144_425 ),
inference(forward_demodulation,[],[f4187,f3693]) ).
fof(f4187,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| ~ spl144_298
| spl144_320 ),
inference(forward_demodulation,[],[f2703,f2588]) ).
fof(f2703,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl144_320 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f5033,plain,
( ~ spl144_332
| ~ spl144_359 ),
inference(avatar_contradiction_clause,[],[f5032]) ).
fof(f5032,plain,
( $false
| ~ spl144_332
| ~ spl144_359 ),
inference(subsumption_resolution,[],[f5031,f626]) ).
fof(f5031,plain,
( e20 = e23
| ~ spl144_332
| ~ spl144_359 ),
inference(forward_demodulation,[],[f3030,f2785]) ).
fof(f3030,plain,
( e23 = h4(e12)
| ~ spl144_359 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f3029,plain,
( spl144_359
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_359])]) ).
fof(f5003,plain,
( spl144_60
| ~ spl144_371 ),
inference(avatar_split_clause,[],[f4988,f3110,f1458]) ).
fof(f1458,plain,
( spl144_60
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_60])]) ).
fof(f3110,plain,
( spl144_371
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_371])]) ).
fof(f4988,plain,
( e22 = op2(e22,e22)
| ~ spl144_371 ),
inference(forward_demodulation,[],[f1020,f3111]) ).
fof(f3111,plain,
( e22 = h3(e12)
| ~ spl144_371 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f4997,plain,
( spl144_306
| ~ spl144_304
| ~ spl144_439 ),
inference(avatar_split_clause,[],[f4958,f3821,f2624,f2633]) ).
fof(f2633,plain,
( spl144_306
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_306])]) ).
fof(f3821,plain,
( spl144_439
<=> e22 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_439])]) ).
fof(f4958,plain,
( e22 = op2(e21,e20)
| ~ spl144_304
| ~ spl144_439 ),
inference(forward_demodulation,[],[f3823,f2626]) ).
fof(f3823,plain,
( e22 = op2(e21,op2(e21,e22))
| ~ spl144_439 ),
inference(avatar_component_clause,[],[f3821]) ).
fof(f4951,plain,
( ~ spl144_71
| ~ spl144_353 ),
inference(avatar_contradiction_clause,[],[f4950]) ).
fof(f4950,plain,
( $false
| ~ spl144_71
| ~ spl144_353 ),
inference(subsumption_resolution,[],[f4949,f625]) ).
fof(f4949,plain,
( e20 = e21
| ~ spl144_71
| ~ spl144_353 ),
inference(forward_demodulation,[],[f2962,f1511]) ).
fof(f2962,plain,
( e21 = op2(e20,e21)
| ~ spl144_353 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f2960,plain,
( spl144_353
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_353])]) ).
fof(f4943,plain,
( ~ spl144_341
| ~ spl144_163 ),
inference(avatar_split_clause,[],[f4942,f1911,f2848]) ).
fof(f2848,plain,
( spl144_341
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_341])]) ).
fof(f4942,plain,
( e11 != op1(e10,e13)
| ~ spl144_163 ),
inference(forward_demodulation,[],[f1115,f1913]) ).
fof(f1115,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4930,plain,
( ~ spl144_424
| ~ spl144_204 ),
inference(avatar_split_clause,[],[f4929,f2132,f3650]) ).
fof(f3650,plain,
( spl144_424
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_424])]) ).
fof(f2132,plain,
( spl144_204
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_204])]) ).
fof(f4929,plain,
( e22 != h1(e12)
| ~ spl144_204 ),
inference(forward_demodulation,[],[f3566,f2134]) ).
fof(f2134,plain,
( e22 = op2(e20,e23)
| ~ spl144_204 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f3566,plain,
op2(e20,e23) != h1(e12),
inference(backward_demodulation,[],[f1041,f949]) ).
fof(f1041,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4921,plain,
( ~ spl144_20
| spl144_275
| ~ spl144_401 ),
inference(avatar_contradiction_clause,[],[f4920]) ).
fof(f4920,plain,
( $false
| ~ spl144_20
| spl144_275
| ~ spl144_401 ),
inference(subsumption_resolution,[],[f4919,f2481]) ).
fof(f4919,plain,
( e21 = e23
| ~ spl144_20
| ~ spl144_401 ),
inference(forward_demodulation,[],[f1280,f3326]) ).
fof(f3326,plain,
( e21 = op2(e22,e21)
| ~ spl144_401 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3324,plain,
( spl144_401
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_401])]) ).
fof(f4907,plain,
( ~ spl144_420
| ~ spl144_273 ),
inference(avatar_split_clause,[],[f4906,f2466,f3617]) ).
fof(f4906,plain,
( e21 != h3(e12)
| ~ spl144_273 ),
inference(forward_demodulation,[],[f3550,f2468]) ).
fof(f2468,plain,
( e21 = op2(e22,e23)
| ~ spl144_273 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f3550,plain,
op2(e22,e23) != h3(e12),
inference(backward_demodulation,[],[f1049,f1020]) ).
fof(f1049,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4905,plain,
( ~ spl144_341
| ~ spl144_152 ),
inference(avatar_split_clause,[],[f4904,f1858,f2848]) ).
fof(f4904,plain,
( e11 != op1(e10,e13)
| ~ spl144_152 ),
inference(backward_demodulation,[],[f1114,f1860]) ).
fof(f1114,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4887,plain,
( spl144_424
| ~ spl144_217 ),
inference(avatar_split_clause,[],[f4886,f2202,f3650]) ).
fof(f2202,plain,
( spl144_217
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_217])]) ).
fof(f4886,plain,
( e22 = h1(e12)
| ~ spl144_217 ),
inference(forward_demodulation,[],[f949,f2204]) ).
fof(f2204,plain,
( op2(e20,e20) = e22
| ~ spl144_217 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f4875,plain,
( ~ spl144_79
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f4874,f1509,f1547]) ).
fof(f1547,plain,
( spl144_79
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_79])]) ).
fof(f4874,plain,
( e20 != op2(e20,e22)
| ~ spl144_71 ),
inference(forward_demodulation,[],[f1032,f1511]) ).
fof(f1032,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4873,plain,
( ~ spl144_332
| ~ spl144_392 ),
inference(avatar_contradiction_clause,[],[f4872]) ).
fof(f4872,plain,
( $false
| ~ spl144_332
| ~ spl144_392 ),
inference(subsumption_resolution,[],[f4871,f625]) ).
fof(f4871,plain,
( e20 = e21
| ~ spl144_332
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3256,f2785]) ).
fof(f3256,plain,
( e21 = h4(e12)
| ~ spl144_392 ),
inference(avatar_component_clause,[],[f3254]) ).
fof(f3254,plain,
( spl144_392
<=> e21 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_392])]) ).
fof(f4868,plain,
( ~ spl144_157
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f4733,f3692,f1883]) ).
fof(f1883,plain,
( spl144_157
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_157])]) ).
fof(f4733,plain,
( e20 != op2(e23,e21)
| ~ spl144_425 ),
inference(forward_demodulation,[],[f3489,f3693]) ).
fof(f3489,plain,
op2(e23,e21) != h2(e10),
inference(backward_demodulation,[],[f3233,f3485]) ).
fof(f3233,plain,
op2(e23,e21) != h4(e12),
inference(backward_demodulation,[],[f1063,f1027]) ).
fof(f1063,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4866,plain,
( ~ spl144_298
| ~ spl144_313 ),
inference(avatar_contradiction_clause,[],[f4865]) ).
fof(f4865,plain,
( $false
| ~ spl144_298
| ~ spl144_313 ),
inference(subsumption_resolution,[],[f4863,f622]) ).
fof(f4863,plain,
( e20 = e22
| ~ spl144_298
| ~ spl144_313 ),
inference(backward_demodulation,[],[f2588,f2674]) ).
fof(f2674,plain,
( e20 = h2(e12)
| ~ spl144_313 ),
inference(avatar_component_clause,[],[f2673]) ).
fof(f2673,plain,
( spl144_313
<=> e20 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_313])]) ).
fof(f4861,plain,
( ~ spl144_31
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f4860,f1968,f1327]) ).
fof(f1327,plain,
( spl144_31
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_31])]) ).
fof(f4860,plain,
( op1(e10,e10) != e12
| ~ spl144_175 ),
inference(forward_demodulation,[],[f1149,f1970]) ).
fof(f1149,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4858,plain,
( spl144_79
| ~ spl144_217
| ~ spl144_297 ),
inference(avatar_split_clause,[],[f4857,f2581,f2202,f1547]) ).
fof(f4857,plain,
( e20 = op2(e20,e22)
| ~ spl144_217
| ~ spl144_297 ),
inference(backward_demodulation,[],[f2583,f2204]) ).
fof(f4852,plain,
( spl144_152
| ~ spl144_49
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f4851,f3788,f1407,f1858]) ).
fof(f3788,plain,
( spl144_438
<=> e11 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_438])]) ).
fof(f4851,plain,
( op1(e10,e10) = e11
| ~ spl144_49
| ~ spl144_438 ),
inference(forward_demodulation,[],[f3790,f1409]) ).
fof(f3790,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ spl144_438 ),
inference(avatar_component_clause,[],[f3788]) ).
fof(f4846,plain,
( ~ spl144_277
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f4845,f1968,f2493]) ).
fof(f2493,plain,
( spl144_277
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_277])]) ).
fof(f4845,plain,
( e12 != op1(e13,e12)
| ~ spl144_175 ),
inference(forward_demodulation,[],[f1147,f1970]) ).
fof(f1147,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4838,plain,
( ~ spl144_305
| ~ spl144_360 ),
inference(avatar_split_clause,[],[f4799,f3034,f2628]) ).
fof(f4799,plain,
( e20 != op2(e21,e20)
| ~ spl144_360 ),
inference(forward_demodulation,[],[f1036,f3036]) ).
fof(f1036,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4815,plain,
( ~ spl144_4
| ~ spl144_5 ),
inference(avatar_contradiction_clause,[],[f4814]) ).
fof(f4814,plain,
( $false
| ~ spl144_4
| ~ spl144_5 ),
inference(subsumption_resolution,[],[f4813,f625]) ).
fof(f4813,plain,
( e20 = e21
| ~ spl144_4
| ~ spl144_5 ),
inference(forward_demodulation,[],[f1210,f1214]) ).
fof(f1214,plain,
( e20 = op2(e23,e23)
| ~ spl144_5 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1212,plain,
( spl144_5
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_5])]) ).
fof(f1210,plain,
( e21 = op2(e23,e23)
| ~ spl144_4 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1208,plain,
( spl144_4
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_4])]) ).
fof(f4783,plain,
( ~ spl144_193
| ~ spl144_241 ),
inference(avatar_contradiction_clause,[],[f4782]) ).
fof(f4782,plain,
( $false
| ~ spl144_193
| ~ spl144_241 ),
inference(subsumption_resolution,[],[f4781,f627]) ).
fof(f627,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4781,plain,
( e22 = e23
| ~ spl144_193
| ~ spl144_241 ),
inference(backward_demodulation,[],[f2304,f2067]) ).
fof(f2304,plain,
( e23 = op2(e23,e20)
| ~ spl144_241 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f4779,plain,
( ~ spl144_2
| spl144_154
| ~ spl144_361 ),
inference(avatar_contradiction_clause,[],[f4778]) ).
fof(f4778,plain,
( $false
| ~ spl144_2
| spl144_154
| ~ spl144_361 ),
inference(subsumption_resolution,[],[f4777,f1869]) ).
fof(f1869,plain,
( e12 != op1(e12,e11)
| spl144_154 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1868,plain,
( spl144_154
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_154])]) ).
fof(f4777,plain,
( e12 = op1(e12,e11)
| ~ spl144_2
| ~ spl144_361 ),
inference(forward_demodulation,[],[f3056,f1201]) ).
fof(f3056,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl144_361 ),
inference(avatar_component_clause,[],[f3054]) ).
fof(f3054,plain,
( spl144_361
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_361])]) ).
fof(f4730,plain,
( ~ spl144_272
| ~ spl144_425 ),
inference(avatar_contradiction_clause,[],[f4729]) ).
fof(f4729,plain,
( $false
| ~ spl144_272
| ~ spl144_425 ),
inference(subsumption_resolution,[],[f4728,f2464]) ).
fof(f2464,plain,
( e20 = op2(e22,e23)
| ~ spl144_272 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2462,plain,
( spl144_272
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_272])]) ).
fof(f4728,plain,
( e20 != op2(e22,e23)
| ~ spl144_425 ),
inference(forward_demodulation,[],[f3488,f3693]) ).
fof(f3488,plain,
op2(e22,e23) != h2(e10),
inference(backward_demodulation,[],[f3232,f3485]) ).
fof(f3232,plain,
op2(e22,e23) != h4(e12),
inference(backward_demodulation,[],[f1060,f1027]) ).
fof(f1060,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4724,plain,
( ~ spl144_82
| spl144_331
| ~ spl144_417 ),
inference(avatar_contradiction_clause,[],[f4723]) ).
fof(f4723,plain,
( $false
| ~ spl144_82
| spl144_331
| ~ spl144_417 ),
inference(subsumption_resolution,[],[f4722,f2772]) ).
fof(f2772,plain,
( e11 != op1(e12,e13)
| spl144_331 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f4722,plain,
( e11 = op1(e12,e13)
| ~ spl144_82
| ~ spl144_417 ),
inference(forward_demodulation,[],[f3588,f1563]) ).
fof(f3588,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ spl144_417 ),
inference(avatar_component_clause,[],[f3586]) ).
fof(f3586,plain,
( spl144_417
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_417])]) ).
fof(f4690,plain,
( ~ spl144_182
| ~ spl144_241 ),
inference(avatar_split_clause,[],[f4689,f2302,f2007]) ).
fof(f4689,plain,
( e23 != op2(e23,e22)
| ~ spl144_241 ),
inference(forward_demodulation,[],[f1030,f2304]) ).
fof(f1030,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4680,plain,
( ~ spl144_207
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f4679,f3692,f2147]) ).
fof(f2147,plain,
( spl144_207
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_207])]) ).
fof(f4679,plain,
( e20 != op2(e23,e22)
| ~ spl144_425 ),
inference(forward_demodulation,[],[f3486,f3693]) ).
fof(f3486,plain,
op2(e23,e22) != h2(e10),
inference(backward_demodulation,[],[f3229,f3485]) ).
fof(f3229,plain,
op2(e23,e22) != h4(e12),
inference(backward_demodulation,[],[f1044,f1027]) ).
fof(f1044,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4669,plain,
( ~ spl144_27
| ~ spl144_56 ),
inference(avatar_contradiction_clause,[],[f4668]) ).
fof(f4668,plain,
( $false
| ~ spl144_27
| ~ spl144_56 ),
inference(subsumption_resolution,[],[f4544,f1441]) ).
fof(f1441,plain,
( e22 = op2(e22,e20)
| ~ spl144_56 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1439,plain,
( spl144_56
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_56])]) ).
fof(f4544,plain,
( e22 != op2(e22,e20)
| ~ spl144_27 ),
inference(forward_demodulation,[],[f1070,f1310]) ).
fof(f1070,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4661,plain,
( ~ spl144_298
| ~ spl144_352 ),
inference(avatar_contradiction_clause,[],[f4660]) ).
fof(f4660,plain,
( $false
| ~ spl144_298
| ~ spl144_352 ),
inference(subsumption_resolution,[],[f4162,f2958]) ).
fof(f2958,plain,
( e22 = op2(e20,e21)
| ~ spl144_352 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f2956,plain,
( spl144_352
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_352])]) ).
fof(f4162,plain,
( e22 != op2(e20,e21)
| ~ spl144_298 ),
inference(forward_demodulation,[],[f2841,f2588]) ).
fof(f2841,plain,
op2(e20,e21) != h2(e12),
inference(backward_demodulation,[],[f1037,f1016]) ).
fof(f1037,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4636,plain,
( ~ spl144_336
| ~ spl144_301 ),
inference(avatar_split_clause,[],[f4635,f2604,f2807]) ).
fof(f2807,plain,
( spl144_336
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_336])]) ).
fof(f2604,plain,
( spl144_301
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_301])]) ).
fof(f4635,plain,
( e23 != op2(e21,e22)
| ~ spl144_301 ),
inference(forward_demodulation,[],[f1065,f2606]) ).
fof(f2606,plain,
( e23 = op2(e21,e23)
| ~ spl144_301 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f1065,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4627,plain,
( ~ spl144_31
| spl144_85
| ~ spl144_402 ),
inference(avatar_contradiction_clause,[],[f4626]) ).
fof(f4626,plain,
( $false
| ~ spl144_31
| spl144_85
| ~ spl144_402 ),
inference(subsumption_resolution,[],[f4625,f1575]) ).
fof(f1575,plain,
( e10 != op1(e10,e12)
| spl144_85 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl144_85
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_85])]) ).
fof(f4625,plain,
( e10 = op1(e10,e12)
| ~ spl144_31
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3331,f1328]) ).
fof(f1328,plain,
( op1(e10,e10) = e12
| ~ spl144_31 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f4622,plain,
( ~ spl144_49
| ~ spl144_84
| ~ spl144_363 ),
inference(avatar_contradiction_clause,[],[f4621]) ).
fof(f4621,plain,
( $false
| ~ spl144_49
| ~ spl144_84
| ~ spl144_363 ),
inference(subsumption_resolution,[],[f4620,f328]) ).
fof(f4620,plain,
( e10 = e12
| ~ spl144_49
| ~ spl144_84
| ~ spl144_363 ),
inference(forward_demodulation,[],[f4618,f1409]) ).
fof(f4618,plain,
( e12 = op1(e10,e11)
| ~ spl144_84
| ~ spl144_363 ),
inference(backward_demodulation,[],[f3067,f1572]) ).
fof(f1572,plain,
( e11 = op1(e10,e12)
| ~ spl144_84 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1570,plain,
( spl144_84
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_84])]) ).
fof(f3067,plain,
( e12 = op1(e10,op1(e10,e12))
| ~ spl144_363 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f3065,plain,
( spl144_363
<=> e12 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_363])]) ).
fof(f4580,plain,
( ~ spl144_204
| ~ spl144_27 ),
inference(avatar_split_clause,[],[f4540,f1308,f2132]) ).
fof(f4540,plain,
( e22 != op2(e20,e23)
| ~ spl144_27 ),
inference(forward_demodulation,[],[f1031,f1310]) ).
fof(f1031,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4572,plain,
( ~ spl144_330
| ~ spl144_340 ),
inference(avatar_contradiction_clause,[],[f4571]) ).
fof(f4571,plain,
( $false
| ~ spl144_330
| ~ spl144_340 ),
inference(subsumption_resolution,[],[f4570,f329]) ).
fof(f329,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4570,plain,
( e10 = e11
| ~ spl144_330
| ~ spl144_340 ),
inference(forward_demodulation,[],[f2769,f2839]) ).
fof(f2769,plain,
( e11 = op1(e12,e10)
| ~ spl144_330 ),
inference(avatar_component_clause,[],[f2767]) ).
fof(f2767,plain,
( spl144_330
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_330])]) ).
fof(f4558,plain,
( ~ spl144_173
| ~ spl144_167 ),
inference(avatar_split_clause,[],[f4557,f1930,f1960]) ).
fof(f1960,plain,
( spl144_173
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_173])]) ).
fof(f4557,plain,
( e13 != op1(e13,e10)
| ~ spl144_167 ),
inference(forward_demodulation,[],[f1147,f1931]) ).
fof(f4556,plain,
( ~ spl144_52
| ~ spl144_163
| ~ spl144_307 ),
inference(avatar_contradiction_clause,[],[f4555]) ).
fof(f4555,plain,
( $false
| ~ spl144_52
| ~ spl144_163
| ~ spl144_307 ),
inference(subsumption_resolution,[],[f4554,f333]) ).
fof(f4554,plain,
( e12 = e13
| ~ spl144_52
| ~ spl144_163
| ~ spl144_307 ),
inference(forward_demodulation,[],[f4552,f1423]) ).
fof(f4552,plain,
( e13 = op1(e11,e11)
| ~ spl144_163
| ~ spl144_307 ),
inference(backward_demodulation,[],[f2640,f1913]) ).
fof(f2640,plain,
( e13 = op1(e11,op1(e11,e13))
| ~ spl144_307 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f2638,plain,
( spl144_307
<=> e13 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_307])]) ).
fof(f4513,plain,
( ~ spl144_241
| ~ spl144_362 ),
inference(avatar_contradiction_clause,[],[f4512]) ).
fof(f4512,plain,
( $false
| ~ spl144_241
| ~ spl144_362 ),
inference(subsumption_resolution,[],[f4511,f3062]) ).
fof(f4511,plain,
( e23 != op2(e21,e20)
| ~ spl144_241 ),
inference(forward_demodulation,[],[f1050,f2304]) ).
fof(f1050,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4487,plain,
( ~ spl144_56
| ~ spl144_360 ),
inference(avatar_contradiction_clause,[],[f4486]) ).
fof(f4486,plain,
( $false
| ~ spl144_56
| ~ spl144_360 ),
inference(subsumption_resolution,[],[f4485,f622]) ).
fof(f4485,plain,
( e20 = e22
| ~ spl144_56
| ~ spl144_360 ),
inference(backward_demodulation,[],[f1441,f3036]) ).
fof(f4467,plain,
( spl144_164
| ~ spl144_389
| ~ spl144_390 ),
inference(avatar_contradiction_clause,[],[f4466]) ).
fof(f4466,plain,
( $false
| spl144_164
| ~ spl144_389
| ~ spl144_390 ),
inference(subsumption_resolution,[],[f4465,f1916]) ).
fof(f1916,plain,
( e10 != op1(e11,e13)
| spl144_164 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f1915,plain,
( spl144_164
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_164])]) ).
fof(f4465,plain,
( e10 = op1(e11,e13)
| ~ spl144_389
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3212,f3226]) ).
fof(f3212,plain,
( e10 = op1(e11,op1(e11,e10))
| ~ spl144_389 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f3210,plain,
( spl144_389
<=> e10 = op1(e11,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_389])]) ).
fof(f4449,plain,
( ~ spl144_172
| ~ spl144_44 ),
inference(avatar_split_clause,[],[f4260,f1385,f1956]) ).
fof(f1956,plain,
( spl144_172
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_172])]) ).
fof(f4260,plain,
( e11 != op1(e13,e10)
| ~ spl144_44 ),
inference(forward_demodulation,[],[f1133,f1387]) ).
fof(f1133,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4447,plain,
( ~ spl144_302
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f4441,f3692,f2608]) ).
fof(f2608,plain,
( spl144_302
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_302])]) ).
fof(f4441,plain,
( e20 != op2(e21,e23)
| ~ spl144_425 ),
inference(backward_demodulation,[],[f3492,f3693]) ).
fof(f3492,plain,
op2(e21,e23) != h2(e10),
inference(backward_demodulation,[],[f3430,f3485]) ).
fof(f3430,plain,
op2(e21,e23) != h4(e12),
inference(forward_demodulation,[],[f1055,f1027]) ).
fof(f1055,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4444,plain,
( spl144_332
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f4439,f3692,f2784]) ).
fof(f4439,plain,
( e20 = h4(e12)
| ~ spl144_425 ),
inference(backward_demodulation,[],[f3485,f3693]) ).
fof(f4428,plain,
( ~ spl144_49
| ~ spl144_341
| ~ spl144_414 ),
inference(avatar_contradiction_clause,[],[f4427]) ).
fof(f4427,plain,
( $false
| ~ spl144_49
| ~ spl144_341
| ~ spl144_414 ),
inference(subsumption_resolution,[],[f4426,f331]) ).
fof(f331,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4426,plain,
( e10 = e13
| ~ spl144_49
| ~ spl144_341
| ~ spl144_414 ),
inference(forward_demodulation,[],[f4425,f1409]) ).
fof(f4425,plain,
( e13 = op1(e10,e11)
| ~ spl144_341
| ~ spl144_414 ),
inference(backward_demodulation,[],[f3527,f2850]) ).
fof(f2850,plain,
( e11 = op1(e10,e13)
| ~ spl144_341 ),
inference(avatar_component_clause,[],[f2848]) ).
fof(f3527,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ spl144_414 ),
inference(avatar_component_clause,[],[f3525]) ).
fof(f3525,plain,
( spl144_414
<=> e13 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_414])]) ).
fof(f4406,plain,
( spl144_213
| ~ spl144_94
| ~ spl144_387 ),
inference(avatar_split_clause,[],[f4405,f3192,f1616,f2181]) ).
fof(f2181,plain,
( spl144_213
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_213])]) ).
fof(f3192,plain,
( spl144_387
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_387])]) ).
fof(f4405,plain,
( e12 = op1(e11,e10)
| ~ spl144_94
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3194,f1618]) ).
fof(f3194,plain,
( e12 = op1(e11,op1(e11,e12))
| ~ spl144_387 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f4399,plain,
( ~ spl144_244
| ~ spl144_44 ),
inference(avatar_split_clause,[],[f4398,f1385,f2318]) ).
fof(f2318,plain,
( spl144_244
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_244])]) ).
fof(f4398,plain,
( e11 != op1(e13,e12)
| ~ spl144_44 ),
inference(forward_demodulation,[],[f1154,f1387]) ).
fof(f1154,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4395,plain,
( ~ spl144_339
| ~ spl144_340 ),
inference(avatar_split_clause,[],[f4394,f2837,f2833]) ).
fof(f2833,plain,
( spl144_339
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_339])]) ).
fof(f4394,plain,
( e10 != op1(e11,e10)
| ~ spl144_340 ),
inference(forward_demodulation,[],[f1120,f2839]) ).
fof(f1120,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4393,plain,
( ~ spl144_50
| ~ spl144_94 ),
inference(avatar_contradiction_clause,[],[f4392]) ).
fof(f4392,plain,
( $false
| ~ spl144_50
| ~ spl144_94 ),
inference(subsumption_resolution,[],[f4391,f329]) ).
fof(f4391,plain,
( e10 = e11
| ~ spl144_50
| ~ spl144_94 ),
inference(backward_demodulation,[],[f1413,f1618]) ).
fof(f1413,plain,
( e11 = op1(e11,e12)
| ~ spl144_50 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl144_50
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_50])]) ).
fof(f4382,plain,
( ~ spl144_298
| ~ spl144_355 ),
inference(avatar_contradiction_clause,[],[f4381]) ).
fof(f4381,plain,
( $false
| ~ spl144_298
| ~ spl144_355 ),
inference(subsumption_resolution,[],[f4380,f624]) ).
fof(f624,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4380,plain,
( e21 = e22
| ~ spl144_298
| ~ spl144_355 ),
inference(backward_demodulation,[],[f2588,f2981]) ).
fof(f2981,plain,
( e21 = h2(e12)
| ~ spl144_355 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f2979,plain,
( spl144_355
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_355])]) ).
fof(f4379,plain,
( ~ spl144_49
| ~ spl144_101 ),
inference(avatar_contradiction_clause,[],[f4378]) ).
fof(f4378,plain,
( $false
| ~ spl144_49
| ~ spl144_101 ),
inference(subsumption_resolution,[],[f4377,f1651]) ).
fof(f1651,plain,
( e10 = op1(e10,e10)
| ~ spl144_101 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f1650,plain,
( spl144_101
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_101])]) ).
fof(f4377,plain,
( e10 != op1(e10,e10)
| ~ spl144_49 ),
inference(forward_demodulation,[],[f1134,f1409]) ).
fof(f1134,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4373,plain,
( ~ spl144_306
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f4221,f2587,f2633]) ).
fof(f4221,plain,
( e22 != op2(e21,e20)
| ~ spl144_298 ),
inference(forward_demodulation,[],[f2844,f2588]) ).
fof(f2844,plain,
op2(e21,e20) != h2(e12),
inference(backward_demodulation,[],[f1047,f1016]) ).
fof(f1047,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4372,plain,
( ~ spl144_333
| ~ spl144_82 ),
inference(avatar_split_clause,[],[f4371,f1561,f2792]) ).
fof(f2792,plain,
( spl144_333
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_333])]) ).
fof(f4371,plain,
( e13 != op1(e12,e13)
| ~ spl144_82 ),
inference(forward_demodulation,[],[f1116,f1563]) ).
fof(f1116,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4365,plain,
( ~ spl144_356
| ~ spl144_346 ),
inference(avatar_split_clause,[],[f4337,f2906,f2990]) ).
fof(f2990,plain,
( spl144_356
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_356])]) ).
fof(f4337,plain,
( e21 != op2(e23,e20)
| ~ spl144_346 ),
inference(forward_demodulation,[],[f1074,f2908]) ).
fof(f1074,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4341,plain,
( ~ spl144_167
| ~ spl144_277 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4340,plain,
( $false
| ~ spl144_167
| ~ spl144_277 ),
inference(subsumption_resolution,[],[f4339,f333]) ).
fof(f4339,plain,
( e12 = e13
| ~ spl144_167
| ~ spl144_277 ),
inference(forward_demodulation,[],[f1931,f2495]) ).
fof(f2495,plain,
( e12 = op1(e13,e12)
| ~ spl144_277 ),
inference(avatar_component_clause,[],[f2493]) ).
fof(f4336,plain,
( ~ spl144_86
| ~ spl144_274 ),
inference(avatar_contradiction_clause,[],[f4335]) ).
fof(f4335,plain,
( $false
| ~ spl144_86
| ~ spl144_274 ),
inference(subsumption_resolution,[],[f4334,f627]) ).
fof(f4334,plain,
( e22 = e23
| ~ spl144_86
| ~ spl144_274 ),
inference(forward_demodulation,[],[f1580,f2475]) ).
fof(f1580,plain,
( e23 = op2(e21,e21)
| ~ spl144_86 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1579,plain,
( spl144_86
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_86])]) ).
fof(f4301,plain,
( ~ spl144_168
| ~ spl144_339 ),
inference(avatar_contradiction_clause,[],[f4300]) ).
fof(f4300,plain,
( $false
| ~ spl144_168
| ~ spl144_339 ),
inference(subsumption_resolution,[],[f4299,f329]) ).
fof(f4299,plain,
( e10 = e11
| ~ spl144_168
| ~ spl144_339 ),
inference(backward_demodulation,[],[f1936,f2835]) ).
fof(f2835,plain,
( e10 = op1(e11,e10)
| ~ spl144_339 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f1936,plain,
( e11 = op1(e11,e10)
| ~ spl144_168 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1935,plain,
( spl144_168
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_168])]) ).
fof(f4294,plain,
( ~ spl144_82
| ~ spl144_247 ),
inference(avatar_contradiction_clause,[],[f4293]) ).
fof(f4293,plain,
( $false
| ~ spl144_82
| ~ spl144_247 ),
inference(subsumption_resolution,[],[f4292,f331]) ).
fof(f4292,plain,
( e10 = e13
| ~ spl144_82
| ~ spl144_247 ),
inference(backward_demodulation,[],[f1563,f2349]) ).
fof(f2349,plain,
( e10 = op1(e12,e11)
| ~ spl144_247 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2347,plain,
( spl144_247
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_247])]) ).
fof(f4282,plain,
( ~ spl144_156
| ~ spl144_298 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4281,plain,
( $false
| ~ spl144_156
| ~ spl144_298 ),
inference(subsumption_resolution,[],[f4280,f626]) ).
fof(f4280,plain,
( e20 = e23
| ~ spl144_156
| ~ spl144_298 ),
inference(forward_demodulation,[],[f4279,f1881]) ).
fof(f1881,plain,
( e20 = op2(e22,e21)
| ~ spl144_156 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1879,plain,
( spl144_156
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f4279,plain,
( e23 = op2(e22,e21)
| ~ spl144_298 ),
inference(forward_demodulation,[],[f2843,f2588]) ).
fof(f4275,plain,
( ~ spl144_278
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4274,f2052,f2499]) ).
fof(f2499,plain,
( spl144_278
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_278])]) ).
fof(f4274,plain,
( e10 != op1(e12,e13)
| ~ spl144_190 ),
inference(forward_demodulation,[],[f1121,f2053]) ).
fof(f1121,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4253,plain,
( ~ spl144_27
| ~ spl144_273 ),
inference(avatar_contradiction_clause,[],[f4252]) ).
fof(f4252,plain,
( $false
| ~ spl144_27
| ~ spl144_273 ),
inference(subsumption_resolution,[],[f4251,f624]) ).
fof(f4251,plain,
( e21 = e22
| ~ spl144_27
| ~ spl144_273 ),
inference(forward_demodulation,[],[f1310,f2468]) ).
fof(f4247,plain,
( ~ spl144_67
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f4246,f1421,f1491]) ).
fof(f1491,plain,
( spl144_67
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_67])]) ).
fof(f4246,plain,
( e12 != op1(e10,e11)
| ~ spl144_52 ),
inference(forward_demodulation,[],[f1129,f1423]) ).
fof(f1129,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4206,plain,
( ~ spl144_193
| ~ spl144_56 ),
inference(avatar_split_clause,[],[f4203,f1439,f2065]) ).
fof(f4203,plain,
( e22 != op2(e23,e20)
| ~ spl144_56 ),
inference(backward_demodulation,[],[f1043,f1441]) ).
fof(f1043,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4202,plain,
( spl144_425
| ~ spl144_5 ),
inference(avatar_split_clause,[],[f4201,f1212,f3692]) ).
fof(f4201,plain,
( e20 = h2(e10)
| ~ spl144_5 ),
inference(forward_demodulation,[],[f3484,f1214]) ).
fof(f4175,plain,
( ~ spl144_248
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f4174,f2587,f2354]) ).
fof(f2354,plain,
( spl144_248
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_248])]) ).
fof(f4174,plain,
( e22 != op2(e21,e22)
| ~ spl144_298 ),
inference(forward_demodulation,[],[f3021,f2588]) ).
fof(f3021,plain,
op2(e21,e22) != h2(e12),
inference(forward_demodulation,[],[f1038,f1016]) ).
fof(f1038,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4173,plain,
( spl144_53
| ~ spl144_168
| ~ spl144_389 ),
inference(avatar_split_clause,[],[f4089,f3210,f1935,f1425]) ).
fof(f1425,plain,
( spl144_53
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_53])]) ).
fof(f4089,plain,
( e10 = op1(e11,e11)
| ~ spl144_168
| ~ spl144_389 ),
inference(forward_demodulation,[],[f3212,f1936]) ).
fof(f4169,plain,
( ~ spl144_94
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f4168,f1608,f1616]) ).
fof(f1608,plain,
( spl144_92
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_92])]) ).
fof(f4168,plain,
( e10 != op1(e11,e12)
| ~ spl144_92 ),
inference(forward_demodulation,[],[f1141,f1610]) ).
fof(f1610,plain,
( e10 = op1(e12,e12)
| ~ spl144_92 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1141,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4165,plain,
( ~ spl144_300
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f4164,f2587,f2600]) ).
fof(f2600,plain,
( spl144_300
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_300])]) ).
fof(f4164,plain,
( e22 != op2(e21,e23)
| ~ spl144_298 ),
inference(forward_demodulation,[],[f3583,f2588]) ).
fof(f3583,plain,
op2(e21,e23) != h2(e12),
inference(forward_demodulation,[],[f1067,f1016]) ).
fof(f1067,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4161,plain,
( ~ spl144_330
| ~ spl144_331 ),
inference(avatar_split_clause,[],[f4160,f2771,f2767]) ).
fof(f4160,plain,
( e11 != op1(e12,e10)
| ~ spl144_331 ),
inference(forward_demodulation,[],[f1138,f2773]) ).
fof(f1138,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4159,plain,
( spl144_50
| ~ spl144_40
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f4158,f1421,f1368,f1412]) ).
fof(f1368,plain,
( spl144_40
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_40])]) ).
fof(f4158,plain,
( e11 = op1(e11,e12)
| ~ spl144_40
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1370,f1423]) ).
fof(f1370,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl144_40 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f4155,plain,
( ~ spl144_202
| ~ spl144_273 ),
inference(avatar_split_clause,[],[f4154,f2466,f2124]) ).
fof(f4154,plain,
( e21 != op2(e20,e23)
| ~ spl144_273 ),
inference(forward_demodulation,[],[f1031,f2468]) ).
fof(f4153,plain,
( ~ spl144_341
| ~ spl144_331 ),
inference(avatar_split_clause,[],[f4152,f2771,f2848]) ).
fof(f4152,plain,
( e11 != op1(e10,e13)
| ~ spl144_331 ),
inference(forward_demodulation,[],[f1128,f2773]) ).
fof(f1128,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4136,plain,
( ~ spl144_418
| ~ spl144_346 ),
inference(avatar_split_clause,[],[f4135,f2906,f3598]) ).
fof(f3598,plain,
( spl144_418
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_418])]) ).
fof(f4135,plain,
( e21 != h2(e10)
| ~ spl144_346 ),
inference(backward_demodulation,[],[f3489,f2908]) ).
fof(f4130,plain,
( ~ spl144_194
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f4127,f1509,f2071]) ).
fof(f4127,plain,
( e20 != h1(e12)
| ~ spl144_71 ),
inference(backward_demodulation,[],[f3569,f1511]) ).
fof(f3569,plain,
op2(e20,e21) != h1(e12),
inference(backward_demodulation,[],[f1064,f949]) ).
fof(f1064,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4126,plain,
( ~ spl144_2
| ~ spl144_92 ),
inference(avatar_contradiction_clause,[],[f4125]) ).
fof(f4125,plain,
( $false
| ~ spl144_2
| ~ spl144_92 ),
inference(subsumption_resolution,[],[f4124,f329]) ).
fof(f4124,plain,
( e10 = e11
| ~ spl144_2
| ~ spl144_92 ),
inference(forward_demodulation,[],[f1201,f1610]) ).
fof(f4116,plain,
( spl144_207
| ~ spl144_193
| ~ spl144_357 ),
inference(avatar_split_clause,[],[f4108,f3003,f2065,f2147]) ).
fof(f3003,plain,
( spl144_357
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_357])]) ).
fof(f4108,plain,
( e20 = op2(e23,e22)
| ~ spl144_193
| ~ spl144_357 ),
inference(backward_demodulation,[],[f3005,f2067]) ).
fof(f3005,plain,
( e20 = op2(e23,op2(e23,e20))
| ~ spl144_357 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f4101,plain,
( ~ spl144_342
| ~ spl144_161 ),
inference(avatar_split_clause,[],[f4100,f1903,f2852]) ).
fof(f1903,plain,
( spl144_161
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_161])]) ).
fof(f4100,plain,
( e13 != op1(e10,e13)
| ~ spl144_161 ),
inference(backward_demodulation,[],[f1115,f1905]) ).
fof(f1905,plain,
( e13 = op1(e11,e13)
| ~ spl144_161 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f4093,plain,
( ~ spl144_60
| ~ spl144_77 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4092,plain,
( $false
| ~ spl144_60
| ~ spl144_77 ),
inference(subsumption_resolution,[],[f4091,f622]) ).
fof(f4091,plain,
( e20 = e22
| ~ spl144_60
| ~ spl144_77 ),
inference(backward_demodulation,[],[f1460,f1540]) ).
fof(f1540,plain,
( e20 = op2(e22,e22)
| ~ spl144_77 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1460,plain,
( e22 = op2(e22,e22)
| ~ spl144_60 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f4084,plain,
( ~ spl144_340
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f4083,f1608,f2837]) ).
fof(f4083,plain,
( e10 != op1(e12,e10)
| ~ spl144_92 ),
inference(backward_demodulation,[],[f1139,f1610]) ).
fof(f1139,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4080,plain,
( ~ spl144_52
| ~ spl144_53 ),
inference(avatar_contradiction_clause,[],[f4079]) ).
fof(f4079,plain,
( $false
| ~ spl144_52
| ~ spl144_53 ),
inference(subsumption_resolution,[],[f4078,f328]) ).
fof(f4078,plain,
( e10 = e12
| ~ spl144_52
| ~ spl144_53 ),
inference(backward_demodulation,[],[f1423,f1427]) ).
fof(f1427,plain,
( e10 = op1(e11,e11)
| ~ spl144_53 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f4077,plain,
( ~ spl144_158
| ~ spl144_274 ),
inference(avatar_contradiction_clause,[],[f4076]) ).
fof(f4076,plain,
( $false
| ~ spl144_158
| ~ spl144_274 ),
inference(subsumption_resolution,[],[f4075,f622]) ).
fof(f4075,plain,
( e20 = e22
| ~ spl144_158
| ~ spl144_274 ),
inference(forward_demodulation,[],[f2475,f1889]) ).
fof(f1889,plain,
( e20 = op2(e21,e21)
| ~ spl144_158 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1887,plain,
( spl144_158
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_158])]) ).
fof(f4066,plain,
( ~ spl144_149
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f4064,f1968,f1844]) ).
fof(f1844,plain,
( spl144_149
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_149])]) ).
fof(f4064,plain,
( e12 != op1(e12,e10)
| ~ spl144_175 ),
inference(backward_demodulation,[],[f1153,f1970]) ).
fof(f1153,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4050,plain,
( ~ spl144_36
| ~ spl144_190 ),
inference(avatar_contradiction_clause,[],[f4049]) ).
fof(f4049,plain,
( $false
| ~ spl144_36
| ~ spl144_190 ),
inference(subsumption_resolution,[],[f4048,f329]) ).
fof(f4048,plain,
( e10 = e11
| ~ spl144_36
| ~ spl144_190 ),
inference(forward_demodulation,[],[f1351,f2053]) ).
fof(f1351,plain,
( e11 = op1(e13,e13)
| ~ spl144_36 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl144_36
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_36])]) ).
fof(f4029,plain,
( ~ spl144_20
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f4020,f1920,f1278]) ).
fof(f1920,plain,
( spl144_165
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_165])]) ).
fof(f4020,plain,
( e23 != op2(e22,e21)
| ~ spl144_165 ),
inference(backward_demodulation,[],[f2842,f1921]) ).
fof(f1921,plain,
( e23 = h2(e12)
| ~ spl144_165 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f4017,plain,
( ~ spl144_342
| ~ spl144_153 ),
inference(avatar_split_clause,[],[f4013,f1862,f2852]) ).
fof(f4013,plain,
( e13 != op1(e10,e13)
| ~ spl144_153 ),
inference(backward_demodulation,[],[f1114,f1864]) ).
fof(f4011,plain,
( ~ spl144_250
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4006,f2052,f2366]) ).
fof(f2366,plain,
( spl144_250
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_250])]) ).
fof(f4006,plain,
( e10 != op1(e13,e11)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f1156,f2053]) ).
fof(f1156,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4010,plain,
( ~ spl144_93
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4004,f2052,f1612]) ).
fof(f1612,plain,
( spl144_93
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_93])]) ).
fof(f4004,plain,
( e10 != op1(e13,e12)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f1148,f2053]) ).
fof(f1148,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4009,plain,
( ~ spl144_164
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4003,f2052,f1915]) ).
fof(f4003,plain,
( e10 != op1(e11,e13)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f1123,f2053]) ).
fof(f1123,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4008,plain,
( ~ spl144_174
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4002,f2052,f1964]) ).
fof(f1964,plain,
( spl144_174
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_174])]) ).
fof(f4002,plain,
( e10 != op1(e13,e10)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f1160,f2053]) ).
fof(f1160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4007,plain,
( ~ spl144_183
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f4005,f2052,f2012]) ).
fof(f4005,plain,
( e10 != op1(e10,e13)
| ~ spl144_190 ),
inference(backward_demodulation,[],[f1155,f2053]) ).
fof(f1155,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4001,plain,
( ~ spl144_92
| ~ spl144_85 ),
inference(avatar_split_clause,[],[f3995,f1574,f1608]) ).
fof(f3995,plain,
( e10 != op1(e12,e12)
| ~ spl144_85 ),
inference(backward_demodulation,[],[f1130,f1576]) ).
fof(f1576,plain,
( e10 = op1(e10,e12)
| ~ spl144_85 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1130,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3993,plain,
( ~ spl144_5
| ~ spl144_6 ),
inference(avatar_contradiction_clause,[],[f3992]) ).
fof(f3992,plain,
( $false
| ~ spl144_5
| ~ spl144_6 ),
inference(subsumption_resolution,[],[f3991,f622]) ).
fof(f3991,plain,
( e20 = e22
| ~ spl144_5
| ~ spl144_6 ),
inference(forward_demodulation,[],[f1218,f1214]) ).
fof(f1218,plain,
( e22 = op2(e23,e23)
| ~ spl144_6 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl144_6
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_6])]) ).
fof(f3987,plain,
( ~ spl144_3
| ~ spl144_5 ),
inference(avatar_contradiction_clause,[],[f3986]) ).
fof(f3986,plain,
( $false
| ~ spl144_3
| ~ spl144_5 ),
inference(subsumption_resolution,[],[f3985,f626]) ).
fof(f3985,plain,
( e20 = e23
| ~ spl144_3
| ~ spl144_5 ),
inference(backward_demodulation,[],[f1206,f1214]) ).
fof(f1206,plain,
( e23 = op2(e23,e23)
| ~ spl144_3 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl144_3
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_3])]) ).
fof(f3980,plain,
( spl144_5
| ~ spl144_216 ),
inference(avatar_split_clause,[],[f3979,f2195,f1212]) ).
fof(f3979,plain,
( e20 = op2(e23,e23)
| ~ spl144_216 ),
inference(backward_demodulation,[],[f2642,f2196]) ).
fof(f2642,plain,
e20 = op2(h2(e13),h2(e13)),
inference(backward_demodulation,[],[f1078,f1018]) ).
fof(f1018,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1078,plain,
e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f3964,plain,
( ~ spl144_209
| ~ spl144_82 ),
inference(avatar_split_clause,[],[f3959,f1561,f2161]) ).
fof(f2161,plain,
( spl144_209
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_209])]) ).
fof(f3959,plain,
( e13 != op1(e12,e12)
| ~ spl144_82 ),
inference(backward_demodulation,[],[f1144,f1563]) ).
fof(f1144,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3963,plain,
( ~ spl144_54
| ~ spl144_82 ),
inference(avatar_split_clause,[],[f3961,f1561,f1430]) ).
fof(f1430,plain,
( spl144_54
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_54])]) ).
fof(f3961,plain,
( e13 != op1(e13,e11)
| ~ spl144_82 ),
inference(backward_demodulation,[],[f1142,f1563]) ).
fof(f1142,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3962,plain,
( ~ spl144_334
| ~ spl144_82 ),
inference(avatar_split_clause,[],[f3960,f1561,f2796]) ).
fof(f2796,plain,
( spl144_334
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_334])]) ).
fof(f3960,plain,
( e13 != op1(e12,e10)
| ~ spl144_82 ),
inference(backward_demodulation,[],[f1140,f1563]) ).
fof(f1140,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3956,plain,
( ~ spl144_330
| ~ spl144_168 ),
inference(avatar_split_clause,[],[f3953,f1935,f2767]) ).
fof(f3953,plain,
( e11 != op1(e12,e10)
| ~ spl144_168 ),
inference(backward_demodulation,[],[f1120,f1936]) ).
fof(f3950,plain,
( ~ spl144_203
| ~ spl144_204 ),
inference(avatar_contradiction_clause,[],[f3949]) ).
fof(f3949,plain,
( $false
| ~ spl144_203
| ~ spl144_204 ),
inference(subsumption_resolution,[],[f3948,f627]) ).
fof(f3948,plain,
( e22 = e23
| ~ spl144_203
| ~ spl144_204 ),
inference(forward_demodulation,[],[f2130,f2134]) ).
fof(f3945,plain,
( ~ spl144_20
| ~ spl144_23 ),
inference(avatar_split_clause,[],[f3936,f1290,f1278]) ).
fof(f1290,plain,
( spl144_23
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_23])]) ).
fof(f3936,plain,
( e23 != op2(e22,e21)
| ~ spl144_23 ),
inference(backward_demodulation,[],[f1069,f1292]) ).
fof(f1292,plain,
( e23 = op2(e22,e20)
| ~ spl144_23 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1069,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3927,plain,
( ~ spl144_66
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f3920,f1299,f1487]) ).
fof(f1487,plain,
( spl144_66
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_66])]) ).
fof(f3920,plain,
( e12 != op1(e10,e13)
| ~ spl144_25 ),
inference(backward_demodulation,[],[f1128,f1300]) ).
fof(f3926,plain,
( ~ spl144_149
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f3923,f1299,f1844]) ).
fof(f3923,plain,
( e12 != op1(e12,e10)
| ~ spl144_25 ),
inference(backward_demodulation,[],[f1138,f1300]) ).
fof(f3919,plain,
( ~ spl144_162
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3912,f1421,f1907]) ).
fof(f1907,plain,
( spl144_162
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_162])]) ).
fof(f3912,plain,
( e12 != op1(e11,e13)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1125,f1423]) ).
fof(f1125,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3918,plain,
( ~ spl144_213
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3914,f1421,f2181]) ).
fof(f3914,plain,
( e12 != op1(e11,e10)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1159,f1423]) ).
fof(f1159,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3917,plain,
( ~ spl144_154
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3913,f1421,f1868]) ).
fof(f3913,plain,
( e12 != op1(e12,e11)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1151,f1423]) ).
fof(f1151,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3916,plain,
( spl144_82
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3910,f1421,f1561]) ).
fof(f3910,plain,
( e13 = op1(e12,e11)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1112,f1423]) ).
fof(f1112,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11))
& e13 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f3915,plain,
( ~ spl144_354
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3911,f1421,f2967]) ).
fof(f2967,plain,
( spl144_354
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_354])]) ).
fof(f3911,plain,
( e12 != op1(e13,e11)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f1119,f1423]) ).
fof(f1119,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3884,plain,
( ~ spl144_85
| ~ spl144_94 ),
inference(avatar_split_clause,[],[f3876,f1616,f1574]) ).
fof(f3876,plain,
( e10 != op1(e10,e12)
| ~ spl144_94 ),
inference(backward_demodulation,[],[f1122,f1618]) ).
fof(f1122,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3868,plain,
( ~ spl144_9
| ~ spl144_10 ),
inference(avatar_split_clause,[],[f3865,f1234,f1230]) ).
fof(f1234,plain,
( spl144_10
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_10])]) ).
fof(f3865,plain,
( e21 != op2(e21,e22)
| ~ spl144_10 ),
inference(backward_demodulation,[],[f1075,f1236]) ).
fof(f1236,plain,
( e21 = op2(e20,e22)
| ~ spl144_10 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1075,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3861,plain,
( ~ spl144_97
| spl144_167 ),
inference(avatar_split_clause,[],[f713,f1930,f1632]) ).
fof(f1632,plain,
( spl144_97
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_97])]) ).
fof(f713,plain,
( e13 = op1(e13,e12)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ~ sP114 ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f3850,plain,
( spl144_313
| ~ spl144_236 ),
inference(avatar_split_clause,[],[f3849,f2282,f2673]) ).
fof(f2282,plain,
( spl144_236
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_236])]) ).
fof(f3849,plain,
( ~ sP52
| e20 = h2(e12) ),
inference(forward_demodulation,[],[f400,f1016]) ).
fof(f400,plain,
( ~ sP52
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20)
& e21 = op2(e21,e20) )
| ~ sP52 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20)
& e21 = op2(e21,e20) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f3838,plain,
( spl144_272
| spl144_156
| spl144_360
| spl144_364 ),
inference(avatar_split_clause,[],[f3837,f3070,f3034,f1879,f2462]) ).
fof(f3837,plain,
( e20 = h3(e12)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f1099,f1020]) ).
fof(f1099,plain,
( e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e20)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e20 = op2(e20,e23)
| e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23) )
& ( e22 = op2(e21,e21)
| e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21) )
& ( e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23) )
& ( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) )
& ( e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23)
| e23 = op2(e22,e22) )
& ( e21 = op2(e22,e22)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) )
& ( e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20) )
& ( e22 = op2(e20,e22)
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e20 = op2(e23,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23)
| e20 = op2(e22,e23) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 = op2(e23,e22)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e21 = op2(e21,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20)
| e21 = op2(e23,e23) )
& ( e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20) )
& ( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e22,e22)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) )
& ( e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3834,plain,
( ~ spl144_104
| spl144_43 ),
inference(avatar_split_clause,[],[f815,f1381,f1662]) ).
fof(f1662,plain,
( spl144_104
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_104])]) ).
fof(f1381,plain,
( spl144_43
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_43])]) ).
fof(f815,plain,
( e11 = op1(e11,e11)
| ~ sP89 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e12 != op1(e12,e11) )
| ~ sP89 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e12 != op1(e12,e11) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f3830,plain,
( ~ spl144_51
| spl144_85 ),
inference(avatar_split_clause,[],[f769,f1574,f1416]) ).
fof(f1416,plain,
( spl144_51
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_51])]) ).
fof(f769,plain,
( e10 = op1(e10,e12)
| ~ sP100 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( op1(e10,e10) != e12
& e12 = op1(e11,e11)
& e10 = op1(e10,e12)
& e11 != op1(e11,e12) )
| ~ sP100 ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( op1(e10,e10) != e12
& e12 = op1(e11,e11)
& e10 = op1(e10,e12)
& e11 != op1(e11,e12) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f3824,plain,
( ~ spl144_18
| spl144_439 ),
inference(avatar_split_clause,[],[f337,f3821,f1269]) ).
fof(f1269,plain,
( spl144_18
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_18])]) ).
fof(f337,plain,
( e22 = op2(e21,op2(e21,e22))
| ~ sP65 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( ( e23 != op2(e23,e21)
| e21 = op2(e23,e23) )
& e20 = op2(e21,op2(e21,e20))
& e21 = op2(e21,op2(e21,e21))
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e21,op2(e21,e22))
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& e23 = op2(e21,op2(e21,e23)) )
| ~ sP65 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( e23 != op2(e23,e21)
| e21 = op2(e23,e23) )
& e20 = op2(e21,op2(e21,e20))
& e21 = op2(e21,op2(e21,e21))
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e21,op2(e21,e22))
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& e23 = op2(e21,op2(e21,e23)) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f3817,plain,
( ~ spl144_58
| spl144_420 ),
inference(avatar_split_clause,[],[f3816,f3617,f1448]) ).
fof(f1448,plain,
( spl144_58
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_58])]) ).
fof(f3816,plain,
( e21 = h3(e12)
| ~ sP29 ),
inference(forward_demodulation,[],[f492,f1020]) ).
fof(f492,plain,
( e21 = op2(e22,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( op2(e20,e20) != e21
& e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ~ sP29 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( op2(e20,e20) != e21
& e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f3814,plain,
( ~ spl144_78
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f3813,f2587,f1543]) ).
fof(f1543,plain,
( spl144_78
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_78])]) ).
fof(f3813,plain,
( e22 != h2(e12)
| ~ sP4 ),
inference(forward_demodulation,[],[f591,f1016]) ).
fof(f591,plain,
( ~ sP4
| e22 != op2(e21,e21) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3812,plain,
( ~ spl144_229
| spl144_327 ),
inference(avatar_split_clause,[],[f3811,f2736,f2254]) ).
fof(f2254,plain,
( spl144_229
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_229])]) ).
fof(f3811,plain,
( e23 = h1(e12)
| ~ sP59 ),
inference(forward_demodulation,[],[f372,f949]) ).
fof(f372,plain,
( op2(e20,e20) = e23
| ~ sP59 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e22 = op2(e22,e23)
& op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e23 != op2(e22,e22) )
| ~ sP59 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e22 = op2(e22,e23)
& op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e23 != op2(e22,e22) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f3810,plain,
( ~ spl144_231
| spl144_165 ),
inference(avatar_split_clause,[],[f3809,f1920,f2262]) ).
fof(f2262,plain,
( spl144_231
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_231])]) ).
fof(f3809,plain,
( e23 = h2(e12)
| ~ sP38 ),
inference(forward_demodulation,[],[f457,f1016]) ).
fof(f457,plain,
( e23 = op2(e21,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e21 != op2(e21,e23) )
| ~ sP38 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e21 != op2(e21,e23) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f3808,plain,
( ~ spl144_65
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f862,f1710,f1482]) ).
fof(f1482,plain,
( spl144_65
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_65])]) ).
fof(f1710,plain,
( spl144_116
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f862,plain,
( ~ sP77
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f3803,plain,
( spl144_189
| ~ spl144_185 ),
inference(avatar_split_clause,[],[f359,f2025,f2047]) ).
fof(f2025,plain,
( spl144_185
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_185])]) ).
fof(f359,plain,
( ~ sP62
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e20 != op2(e20,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23 )
| ~ sP62 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e20 != op2(e20,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23 )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f3800,plain,
( spl144_278
| spl144_340
| spl144_247
| spl144_92 ),
inference(avatar_split_clause,[],[f1189,f1608,f2347,f2837,f2499]) ).
fof(f1189,plain,
( e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e12,e12)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e13) )
& ( e12 = op1(e13,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e10,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13) )
& ( e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e13,e11) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e11 = op1(e10,e12)
| e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| e12 = op1(e13,e12) )
& ( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e12 = op1(e11,e13)
| e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e12,e13) )
& ( e12 = op1(e11,e11)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e12) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| e11 = op1(e13,e13) )
& ( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) )
& ( e11 = op1(e11,e13)
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e12,e13) )
& ( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) )
& ( e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12 )
& ( e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11) )
& ( e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| op1(e10,e10) = e13 )
& ( e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10)
| op1(e10,e10) = e13 )
& ( e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12) )
& ( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3798,plain,
( ~ spl144_276
| ~ spl144_137 ),
inference(avatar_split_clause,[],[f880,f1794,f2484]) ).
fof(f1794,plain,
( spl144_137
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_137])]) ).
fof(f880,plain,
( ~ sP72
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f3797,plain,
( spl144_56
| spl144_159
| spl144_371
| spl144_27 ),
inference(avatar_split_clause,[],[f3796,f1308,f3110,f1892,f1439]) ).
fof(f3796,plain,
( e22 = op2(e22,e23)
| e22 = h3(e12)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f1093,f1020]) ).
fof(f1093,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3791,plain,
( ~ spl144_41
| spl144_438 ),
inference(avatar_split_clause,[],[f905,f3788,f1372]) ).
fof(f1372,plain,
( spl144_41
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_41])]) ).
fof(f905,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( ( e12 != op1(e12,e10)
| e10 = op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 = op1(e11,e11) )
& e12 = op1(e10,op1(e10,e12))
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,op1(e10,e10))
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e10,op1(e10,e11))
& e13 = op1(e10,op1(e10,e13)) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ( e12 != op1(e12,e10)
| e10 = op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 = op1(e11,e11) )
& e12 = op1(e10,op1(e10,e12))
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,op1(e10,e10))
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e10,op1(e10,e11))
& e13 = op1(e10,op1(e10,e13)) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f3786,plain,
( spl144_167
| ~ spl144_102 ),
inference(avatar_split_clause,[],[f794,f1654,f1930]) ).
fof(f1654,plain,
( spl144_102
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_102])]) ).
fof(f794,plain,
( ~ sP94
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) = e12 )
| ~ sP94 ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) = e12 )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f3783,plain,
( spl144_172
| spl144_152
| spl144_330
| spl144_168 ),
inference(avatar_split_clause,[],[f1180,f1935,f2767,f1858,f1956]) ).
fof(f1180,plain,
( e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3777,plain,
( spl144_326
| ~ spl144_239 ),
inference(avatar_split_clause,[],[f3776,f2294,f2731]) ).
fof(f2294,plain,
( spl144_239
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_239])]) ).
fof(f3776,plain,
( ~ sP49
| e23 = h3(e12) ),
inference(forward_demodulation,[],[f412,f1020]) ).
fof(f412,plain,
( e23 = op2(e22,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( op2(e20,e20) != e23
& e23 = op2(e22,e22)
& e20 = op2(e20,e23)
& e22 != op2(e22,e23) )
| ~ sP49 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( op2(e20,e20) != e23
& e23 = op2(e22,e22)
& e20 = op2(e20,e23)
& e22 != op2(e22,e23) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f3774,plain,
( spl144_163
| ~ spl144_8 ),
inference(avatar_split_clause,[],[f791,f1225,f1911]) ).
fof(f1225,plain,
( spl144_8
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_8])]) ).
fof(f791,plain,
( ~ sP95
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e11 = op1(e11,e13)
& e11 != op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ~ sP95 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e11 = op1(e11,e13)
& e11 != op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f3773,plain,
( spl144_13
| ~ spl144_71
| ~ spl144_18 ),
inference(avatar_split_clause,[],[f3772,f1269,f1509,f1247]) ).
fof(f3772,plain,
( ~ sP65
| e20 != op2(e20,e21)
| e21 = h1(e12) ),
inference(forward_demodulation,[],[f335,f949]) ).
fof(f335,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) = e21
| ~ sP65 ),
inference(cnf_transformation,[],[f168]) ).
fof(f3767,plain,
( spl144_244
| spl144_277
| spl144_167
| spl144_93 ),
inference(avatar_split_clause,[],[f933,f1612,f1930,f2493,f2318]) ).
fof(f933,plain,
( e10 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e10 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( op1(e10,e10) = e11
| op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13) )
& ( e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11) )
& ( e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e11 = op1(e10,e11)
| e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e12 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12)
| e12 = op1(e13,e12) )
& ( e12 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f3765,plain,
( spl144_371
| ~ spl144_223 ),
inference(avatar_split_clause,[],[f3764,f2230,f3110]) ).
fof(f2230,plain,
( spl144_223
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_223])]) ).
fof(f3764,plain,
( ~ sP6
| e22 = h3(e12) ),
inference(forward_demodulation,[],[f585,f1020]) ).
fof(f585,plain,
( e22 = op2(e22,e22)
| ~ sP6 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f3721,plain,
( spl144_429
| ~ spl144_38 ),
inference(avatar_split_clause,[],[f899,f1360,f3718]) ).
fof(f1360,plain,
( spl144_38
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_38])]) ).
fof(f899,plain,
( ~ sP68
| e12 = op1(e13,op1(e13,e12)) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& e13 = op1(e13,op1(e13,e13))
& ( e11 != op1(e11,e13)
| e13 = op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& e13 = op1(e13,op1(e13,e13))
& ( e11 != op1(e11,e13)
| e13 = op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f3715,plain,
( spl144_273
| spl144_421
| spl144_420
| spl144_401 ),
inference(avatar_split_clause,[],[f3714,f3324,f3617,f3625,f2466]) ).
fof(f3714,plain,
( e21 = op2(e22,e21)
| e21 = h3(e12)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f1100,f1020]) ).
fof(f1100,plain,
( e21 = op2(e22,e22)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3710,plain,
( spl144_428
| ~ spl144_16 ),
inference(avatar_split_clause,[],[f355,f1261,f3707]) ).
fof(f1261,plain,
( spl144_16
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_16])]) ).
fof(f355,plain,
( ~ sP63
| e21 = op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e20,op2(e20,e21))
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e20,op2(e20,e23))
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,op2(e20,e22))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP63 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e20,op2(e20,e21))
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e20,op2(e20,e23))
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,op2(e20,e22))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f3704,plain,
( spl144_175
| spl144_354
| spl144_196
| spl144_277 ),
inference(avatar_split_clause,[],[f1185,f2493,f2080,f2967,f1968]) ).
fof(f1185,plain,
( e12 = op1(e13,e12)
| e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3703,plain,
( ~ spl144_323
| ~ spl144_325
| ~ spl144_310
| ~ spl144_320
| ~ spl144_312
| ~ spl144_314
| spl144_299
| ~ spl144_425
| spl144_308
| ~ spl144_311
| ~ spl144_316
| ~ spl144_319
| ~ spl144_317
| spl144_166
| ~ spl144_321
| ~ spl144_426
| ~ spl144_309
| ~ spl144_322
| ~ spl144_318
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f3690,f3700,f2693,f2709,f2657,f3696,f2705,f1924,f2689,f2697,f2685,f2665,f2653,f3692,f2591,f2677,f2669,f2701,f2661,f2721,f2713]) ).
fof(f2591,plain,
( spl144_299
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_299])]) ).
fof(f2653,plain,
( spl144_308
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_308])]) ).
fof(f1924,plain,
( spl144_166
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_166])]) ).
fof(f3690,plain,
( h2(e12) != h2(op1(e11,e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| e23 != h2(op1(e12,e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP137
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),e21)
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP136
| e20 != h2(e10)
| sP135
| e20 != h2(op1(e13,e13))
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[],[f3689,f2642]) ).
fof(f3689,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| e20 != h2(e10)
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP135
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),e21)
| e23 != h2(op1(e12,e11))
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| sP137
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(e12) != h2(op1(e11,e11))
| sP136
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[],[f3688,f2843]) ).
fof(f3688,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| e20 != h2(e10)
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),e21)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(e12) != h2(op1(e11,e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| sP137
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| sP136
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| sP135 ),
inference(forward_demodulation,[],[f3687,f1019]) ).
fof(f3687,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP135
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| sP136
| e20 != h2(e10)
| h2(op1(e13,e11)) != op2(h2(e13),e21)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP137
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(e12) != h2(op1(e11,e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[],[f3686,f1019]) ).
fof(f3686,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e12) != h2(op1(e11,e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| sP136
| sP137
| h2(op1(e13,e11)) != op2(h2(e13),e21)
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| e20 != h2(e10)
| sP135 ),
inference(forward_demodulation,[],[f3685,f1019]) ).
fof(f3685,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP135
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP136
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| e20 != h2(e10)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP137
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(e12) != h2(op1(e11,e11)) ),
inference(forward_demodulation,[],[f3684,f1016]) ).
fof(f3684,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP137
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| op2(e21,e21) != h2(op1(e11,e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP136
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| sP135
| e20 != h2(e10)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[],[f3683,f1019]) ).
fof(f3683,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| sP137
| sP136
| sP135
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| e20 != h2(e10)
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[],[f3682,f1019]) ).
fof(f3682,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| sP137
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| sP136
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP135
| e20 != h2(e10)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[],[f3681,f1019]) ).
fof(f3681,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| e20 != h2(e10)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP137
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| sP135
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP136
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[],[f1004,f1019]) ).
fof(f1004,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP137
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| sP136
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP135
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| e20 != h2(e10)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e13) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP143
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP142
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP141
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) )
& ( ( e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP140
| sP139
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP138 )
& ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP137
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP136
| sP135
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) )
& ( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP134
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP133
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP132 ) ),
inference(definition_folding,[],[f20,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155]) ).
fof(f155,plain,
( ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e12) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e13) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e11) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e12) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f164,plain,
( ( e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e10) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e13) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f20,plain,
( ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e13) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e13) )
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e10) )
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11) )
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) )
& ( ( e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13) )
| ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10) )
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e12) ) )
& ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e11) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) )
& ( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e13) )
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e12) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11) )
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e12) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e11)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e12) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) )
| ( ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
| ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10)
| e23 = h3(e13) )
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e10) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e13) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e21 = h2(e12)
| e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11) )
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e13) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e22 = h2(e11)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11) )
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e12) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e11)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e12) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) )
| ( ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
| ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10)
| e23 = h3(e13) )
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e10) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e13) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e21 = h2(e12)
| e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11) )
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e13) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e22 = h2(e11)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f3680,plain,
( spl144_276
| ~ spl144_137 ),
inference(avatar_split_clause,[],[f883,f1794,f2484]) ).
fof(f883,plain,
( ~ sP72
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f293]) ).
fof(f3679,plain,
( spl144_313
| ~ spl144_70
| ~ spl144_16 ),
inference(avatar_split_clause,[],[f3678,f1261,f1504,f2673]) ).
fof(f1504,plain,
( spl144_70
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_70])]) ).
fof(f3678,plain,
( ~ sP63
| e21 != op2(e21,e20)
| e20 = h2(e12) ),
inference(forward_demodulation,[],[f356,f1016]) ).
fof(f356,plain,
( e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP63 ),
inference(cnf_transformation,[],[f170]) ).
fof(f3677,plain,
( spl144_3
| spl144_182
| spl144_169
| spl144_241 ),
inference(avatar_split_clause,[],[f1082,f2302,f1940,f2007,f1204]) ).
fof(f1082,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3673,plain,
( spl144_339
| spl144_53
| spl144_164
| spl144_94 ),
inference(avatar_split_clause,[],[f1168,f1616,f1915,f1425,f2833]) ).
fof(f1168,plain,
( e10 = op1(e11,e12)
| e10 = op1(e11,e13)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3667,plain,
( ~ spl144_98
| ~ spl144_276 ),
inference(avatar_split_clause,[],[f850,f2484,f1637]) ).
fof(f1637,plain,
( spl144_98
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_98])]) ).
fof(f850,plain,
( e12 != op1(e12,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP80 ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f3666,plain,
( ~ spl144_235
| spl144_418 ),
inference(avatar_split_clause,[],[f3665,f3598,f2278]) ).
fof(f2278,plain,
( spl144_235
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_235])]) ).
fof(f3665,plain,
( e21 = h2(e10)
| ~ sP45 ),
inference(forward_demodulation,[],[f428,f3484]) ).
fof(f428,plain,
( ~ sP45
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 = op2(e21,e21) )
| ~ sP45 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 = op2(e21,e21) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f3664,plain,
( ~ spl144_220
| spl144_194 ),
inference(avatar_split_clause,[],[f3663,f2071,f2218]) ).
fof(f2218,plain,
( spl144_220
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_220])]) ).
fof(f3663,plain,
( e20 = h1(e12)
| ~ sP12 ),
inference(forward_demodulation,[],[f561,f949]) ).
fof(f561,plain,
( ~ sP12
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e23,e23)
& e23 != op2(e23,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e23,e23)
& e23 != op2(e23,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f3661,plain,
( spl144_194
| ~ spl144_232 ),
inference(avatar_split_clause,[],[f3660,f2266,f2071]) ).
fof(f2266,plain,
( spl144_232
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_232])]) ).
fof(f3660,plain,
( ~ sP54
| e20 = h1(e12) ),
inference(forward_demodulation,[],[f391,f949]) ).
fof(f391,plain,
( e20 = op2(e20,e20)
| ~ sP54 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21) )
| ~ sP54 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f3647,plain,
( spl144_36
| spl144_163
| spl144_331
| spl144_341 ),
inference(avatar_split_clause,[],[f1176,f2848,f2771,f1911,f1350]) ).
fof(f1176,plain,
( e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3632,plain,
( ~ spl144_228
| spl144_79 ),
inference(avatar_split_clause,[],[f534,f1547,f2250]) ).
fof(f2250,plain,
( spl144_228
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_228])]) ).
fof(f534,plain,
( e20 = op2(e20,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f3630,plain,
( spl144_159
| ~ spl144_234 ),
inference(avatar_split_clause,[],[f580,f2274,f1892]) ).
fof(f2274,plain,
( spl144_234
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_234])]) ).
fof(f580,plain,
( ~ sP7
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f3629,plain,
( spl144_23
| spl144_421
| spl144_56
| spl144_360 ),
inference(avatar_split_clause,[],[f315,f3034,f1439,f3625,f1290]) ).
fof(f315,plain,
( e20 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) )
& ( e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e22 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e21 = op2(e20,e23)
| e20 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21) )
& ( e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e23 = op2(e23,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3621,plain,
( ~ spl144_15
| spl144_209 ),
inference(avatar_split_clause,[],[f810,f2161,f1256]) ).
fof(f1256,plain,
( spl144_15
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_15])]) ).
fof(f810,plain,
( e13 = op1(e12,e12)
| ~ sP90 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( e11 = op1(e11,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e12 != op1(e12,e13) )
| ~ sP90 ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e11 = op1(e11,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e12 != op1(e12,e13) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f3613,plain,
( spl144_278
| spl144_25
| spl144_331
| spl144_333 ),
inference(avatar_split_clause,[],[f943,f2792,f2771,f1299,f2499]) ).
fof(f943,plain,
( e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3609,plain,
( ~ spl144_19
| spl144_419 ),
inference(avatar_split_clause,[],[f3604,f3606,f1273]) ).
fof(f1273,plain,
( spl144_19
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_19])]) ).
fof(f3604,plain,
( e22 = op2(e22,h3(e12))
| ~ sP64 ),
inference(forward_demodulation,[],[f343,f1020]) ).
fof(f343,plain,
( e22 = op2(e22,op2(e22,e22))
| ~ sP64 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,op2(e22,e20))
& e21 = op2(e22,op2(e22,e21))
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& e22 = op2(e22,op2(e22,e22))
& e23 = op2(e22,op2(e22,e23)) )
| ~ sP64 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,op2(e22,e20))
& e21 = op2(e22,op2(e22,e21))
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& e22 = op2(e22,op2(e22,e22))
& e23 = op2(e22,op2(e22,e23)) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f3595,plain,
( ~ spl144_43
| ~ spl144_104 ),
inference(avatar_split_clause,[],[f813,f1662,f1381]) ).
fof(f813,plain,
( ~ sP89
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f276]) ).
fof(f3593,plain,
( ~ spl144_37
| spl144_36 ),
inference(avatar_split_clause,[],[f671,f1350,f1354]) ).
fof(f1354,plain,
( spl144_37
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_37])]) ).
fof(f671,plain,
( e11 = op1(e13,e13)
| ~ sP125 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP125 ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f3589,plain,
( spl144_417
| ~ spl144_39 ),
inference(avatar_split_clause,[],[f919,f1364,f3586]) ).
fof(f1364,plain,
( spl144_39
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_39])]) ).
fof(f919,plain,
( ~ sP66
| e11 = op1(e12,op1(e12,e11)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e11 = op1(e12,op1(e12,e11))
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& e10 = op1(e12,op1(e12,e10))
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) = e12 ) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e11 = op1(e12,op1(e12,e11))
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& e10 = op1(e12,op1(e12,e10))
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) = e12 ) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f3562,plain,
( spl144_31
| ~ spl144_102 ),
inference(avatar_split_clause,[],[f792,f1654,f1327]) ).
fof(f792,plain,
( ~ sP94
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f271]) ).
fof(f3561,plain,
( spl144_54
| ~ spl144_63 ),
inference(avatar_split_clause,[],[f693,f1472,f1430]) ).
fof(f1472,plain,
( spl144_63
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_63])]) ).
fof(f693,plain,
( ~ sP119
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e10 != op1(e10,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11)
& op1(e10,e10) = e11 )
| ~ sP119 ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e10 != op1(e10,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11)
& op1(e10,e10) = e11 )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f3560,plain,
( spl144_204
| spl144_27
| spl144_300
| spl144_6 ),
inference(avatar_split_clause,[],[f1104,f1216,f2600,f1308,f2132]) ).
fof(f1104,plain,
( e22 = op2(e23,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3558,plain,
( spl144_154
| ~ spl144_1 ),
inference(avatar_split_clause,[],[f646,f1195,f1868]) ).
fof(f1195,plain,
( spl144_1
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_1])]) ).
fof(f646,plain,
( ~ sP131
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12) )
| ~ sP131 ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f3546,plain,
( spl144_153
| spl144_390
| spl144_334
| spl144_173 ),
inference(avatar_split_clause,[],[f1167,f1960,f2796,f3224,f1862]) ).
fof(f1167,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3545,plain,
( ~ spl144_298
| ~ spl144_64 ),
inference(avatar_split_clause,[],[f3544,f1477,f2587]) ).
fof(f1477,plain,
( spl144_64
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_64])]) ).
fof(f3544,plain,
( ~ sP21
| e22 != h2(e12) ),
inference(forward_demodulation,[],[f522,f1016]) ).
fof(f522,plain,
( e22 != op2(e21,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e21,e22)
& e22 != op2(e21,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e21,e22)
& e22 != op2(e21,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f3537,plain,
( spl144_65
| ~ spl144_124 ),
inference(avatar_split_clause,[],[f716,f1742,f1482]) ).
fof(f1742,plain,
( spl144_124
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_124])]) ).
fof(f716,plain,
( ~ sP113
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP113 ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f3533,plain,
~ spl144_308,
inference(avatar_split_clause,[],[f3532,f2653]) ).
fof(f3532,plain,
~ sP136,
inference(subsumption_resolution,[],[f981,f1019]) ).
fof(f981,plain,
( ~ sP136
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP136 ),
inference(nnf_transformation,[],[f159]) ).
fof(f3530,plain,
( spl144_352
| spl144_204
| spl144_249
| spl144_217 ),
inference(avatar_split_clause,[],[f1097,f2202,f2358,f2132,f2956]) ).
fof(f1097,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e23)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3529,plain,
( ~ spl144_276
| ~ spl144_103 ),
inference(avatar_split_clause,[],[f653,f1658,f2484]) ).
fof(f1658,plain,
( spl144_103
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_103])]) ).
fof(f653,plain,
( ~ sP129
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( e12 = op1(e12,e12)
& e11 != op1(e11,e12)
& e12 != op1(e12,e12)
& e12 = op1(e11,e11) )
| ~ sP129 ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e12 = op1(e12,e12)
& e11 != op1(e11,e12)
& e12 != op1(e12,e12)
& e12 = op1(e11,e11) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f3528,plain,
( ~ spl144_41
| spl144_414 ),
inference(avatar_split_clause,[],[f904,f3525,f1372]) ).
fof(f904,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f3512,plain,
( ~ spl144_111
| spl144_101 ),
inference(avatar_split_clause,[],[f659,f1650,f1690]) ).
fof(f1690,plain,
( spl144_111
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f659,plain,
( e10 = op1(e10,e10)
| ~ sP128 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10) )
| ~ sP128 ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f3510,plain,
( ~ spl144_76
| spl144_313 ),
inference(avatar_split_clause,[],[f3509,f2673,f1533]) ).
fof(f1533,plain,
( spl144_76
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_76])]) ).
fof(f3509,plain,
( e20 = h2(e12)
| ~ sP1 ),
inference(forward_demodulation,[],[f604,f1016]) ).
fof(f604,plain,
( ~ sP1
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e21 != op2(e21,e20) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e21 != op2(e21,e20) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3507,plain,
( ~ spl144_49
| spl144_38
| spl144_41
| spl144_152
| spl144_39 ),
inference(avatar_split_clause,[],[f920,f1364,f1858,f1372,f1360,f1407]) ).
fof(f920,plain,
( sP66
| op1(e10,e10) = e11
| sP67
| sP68
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 != op1(e10,e10) )
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69 )
& ( ( e10 = op1(e11,op1(e11,e10))
& ( e12 != op1(e12,e11)
| e11 = op1(e12,e12) )
& e13 = op1(e11,op1(e11,e13))
& ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) ) )
| sP68
| sP67
| sP66 ) ),
inference(definition_folding,[],[f10,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88]) ).
fof(f91,plain,
( ( op1(e10,e10) != e13
& op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e10 = op1(e10,e13) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e12 != op1(e11,e11)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f95,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e13 != op1(e13,e10) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e11 != op1(e11,e10)
& e10 = op1(e11,e11) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( e10 != op1(e11,e11)
& e12 != op1(e12,e10)
& e11 = op1(e11,e10)
& e10 = op1(e12,e12) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f100,plain,
( ( e12 = op1(e12,e10)
& e10 != op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f101,plain,
( ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f103,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f104,plain,
( ( e13 != op1(e12,e12)
& e13 = op1(e11,e11)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f105,plain,
( ( e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f106,plain,
( ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f107,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f108,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f109,plain,
( ( e11 = op1(e11,e11)
& e10 != op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f110,plain,
( ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13)
& e13 = op1(e12,e12) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f113,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f114,plain,
( ( e13 = op1(e13,e13)
& e11 != op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e11,e11) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f115,plain,
( ( e13 = op1(e13,e10)
& e10 != op1(e13,e13)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f118,plain,
( ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f119,plain,
( ( e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e13 != op1(e13,e11)
& e11 != op1(e11,e11) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f120,plain,
( ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f121,plain,
( ( e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f123,plain,
( ( e11 != op1(e11,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f124,plain,
( ( e13 != op1(e11,e11)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e11,e13) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f125,plain,
( ( e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f126,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f127,plain,
( ( op1(e10,e10) != e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e10,e13) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f128,plain,
( ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f129,plain,
( ( e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e13 = op1(e11,e11) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f130,plain,
( ( e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13)
& e12 = op1(e12,e13) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f131,plain,
( ( e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e13 = op1(e13,e10) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f132,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f133,plain,
( ( op1(e10,e10) != e12
& e10 != op1(e10,e12)
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f134,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e13,e13) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f137,plain,
( ( e10 != op1(e10,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e10,e10) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f138,plain,
( ( e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f139,plain,
( ( e10 != op1(e10,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& op1(e10,e10) = e11 )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f140,plain,
( ( e10 = op1(e10,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f142,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f143,plain,
( ( e12 != op1(e13,e13)
& e13 = op1(e13,e12)
& e13 != op1(e13,e12)
& e12 = op1(e13,e13) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f144,plain,
( ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f145,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f146,plain,
( ( e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f148,plain,
( ( e12 = op1(e13,e13)
& e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e13 != op1(e13,e12) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f149,plain,
( ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f152,plain,
( ( e10 = op1(e10,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 = op1(e12,e12) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f10,axiom,
( ( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12) )
| ( e10 = op1(e10,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 = op1(e12,e12) )
| ( e12 = op1(e12,e12)
& e11 != op1(e11,e12)
& e12 != op1(e12,e12)
& e12 = op1(e11,e11) )
| ( e10 = op1(e10,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10) )
| ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e12 = op1(e13,e13)
& e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e13 != op1(e13,e12) )
| ( e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13) )
| ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e13 = op1(e13,e12)
& e13 != op1(e13,e12)
& e12 = op1(e13,e13) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13) )
| ( e10 != op1(e10,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11)
& op1(e10,e10) = e11 )
| ( e10 = op1(e10,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e10 != op1(e10,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& op1(e10,e10) = e11 )
| ( e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11) )
| ( e10 != op1(e10,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e10,e10) )
| ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e13,e13) )
| ( op1(e10,e10) != e12
& e10 != op1(e10,e12)
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e13 = op1(e13,e10) )
| ( e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13)
& e12 = op1(e12,e13) )
| ( e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e13 = op1(e11,e11) )
| ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12) )
| ( op1(e10,e10) != e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e10,e13) )
| ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11) )
| ( e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 != op1(e11,e11)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e11,e13) )
| ( e11 != op1(e11,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11) )
| ( op1(e10,e10) != e12
& e12 = op1(e11,e11)
& e10 = op1(e10,e12)
& e11 != op1(e11,e12) )
| ( e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13) )
| ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ( e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e13 != op1(e13,e11)
& e11 != op1(e11,e11) )
| ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ( e11 = op1(e11,e13)
& e11 != op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ( e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) = e12 )
| ( e13 = op1(e13,e10)
& e10 != op1(e13,e13)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ( e13 = op1(e13,e13)
& e11 != op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e11,e11) )
| ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ( e11 = op1(e11,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e12 != op1(e12,e13) )
| ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e12 != op1(e12,e11) )
| ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13)
& e13 = op1(e12,e12) )
| ( e11 = op1(e11,e11)
& e10 != op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) = e11 )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ( e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ( e13 != op1(e12,e12)
& e13 = op1(e11,e11)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ( e12 = op1(e12,e10)
& e10 != op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ( e10 != op1(e11,e11)
& e12 != op1(e12,e10)
& e11 = op1(e11,e10)
& e10 = op1(e12,e12) )
| ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e11 != op1(e11,e10)
& e10 = op1(e11,e11) )
| ( e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e13 != op1(e13,e10) )
| ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e12,e12) )
| ( e12 != op1(e11,e11)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12) )
| ( e10 = op1(e10,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) )
| ( op1(e10,e10) != e13
& op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e10 = op1(e10,e13) ) )
& ( ( e10 = op1(e11,op1(e11,e10))
& ( e12 != op1(e12,e11)
| e11 = op1(e12,e12) )
& e13 = op1(e11,op1(e11,e13))
& ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) ) )
| ( ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& e13 = op1(e13,op1(e13,e13))
& ( e11 != op1(e11,e13)
| e13 = op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ( ( e12 != op1(e12,e10)
| e10 = op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 = op1(e11,e11) )
& e12 = op1(e10,op1(e10,e12))
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,op1(e10,e10))
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e10,op1(e10,e11))
& e13 = op1(e10,op1(e10,e13)) )
| ( e11 = op1(e12,op1(e12,e11))
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& e10 = op1(e12,op1(e12,e10))
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) = e12 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f3506,plain,
( spl144_182
| ~ spl144_225 ),
inference(avatar_split_clause,[],[f566,f2238,f2007]) ).
fof(f2238,plain,
( spl144_225
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_225])]) ).
fof(f566,plain,
( ~ sP10
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e22 != op2(e23,e23)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e23,e22) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e22 != op2(e23,e23)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e23,e22) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f3502,plain,
( ~ spl144_114
| ~ spl144_49 ),
inference(avatar_split_clause,[],[f752,f1407,f1702]) ).
fof(f1702,plain,
( spl144_114
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_114])]) ).
fof(f752,plain,
( e10 != op1(e10,e11)
| ~ sP104 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11) )
| ~ sP104 ),
inference(nnf_transformation,[],[f126]) ).
fof(f3500,plain,
( ~ spl144_75
| spl144_47 ),
inference(avatar_split_clause,[],[f575,f1398,f1528]) ).
fof(f1528,plain,
( spl144_75
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_75])]) ).
fof(f575,plain,
( e20 = op2(e20,e20)
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f3495,plain,
( spl144_339
| spl144_390
| spl144_213
| spl144_168 ),
inference(avatar_split_clause,[],[f941,f1935,f2181,f3224,f2833]) ).
fof(f941,plain,
( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3494,plain,
( spl144_43
| ~ spl144_129 ),
inference(avatar_split_clause,[],[f661,f1762,f1381]) ).
fof(f1762,plain,
( spl144_129
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_129])]) ).
fof(f661,plain,
( ~ sP127
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP127 ),
inference(nnf_transformation,[],[f149]) ).
fof(f3477,plain,
( spl144_70
| spl144_355
| spl144_189
| spl144_9 ),
inference(avatar_split_clause,[],[f3476,f1230,f2047,f2979,f1504]) ).
fof(f3476,plain,
( e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = h2(e12)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1079,f1016]) ).
fof(f1079,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3472,plain,
( spl144_412
| ~ spl144_19 ),
inference(avatar_split_clause,[],[f342,f1273,f3469]) ).
fof(f342,plain,
( ~ sP64
| e23 = op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f3467,plain,
( ~ spl144_110
| spl144_276 ),
inference(avatar_split_clause,[],[f846,f2484,f1686]) ).
fof(f1686,plain,
( spl144_110
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f846,plain,
( e12 = op1(e12,e12)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP81 ),
inference(nnf_transformation,[],[f103]) ).
fof(f3461,plain,
( ~ spl144_199
| spl144_359 ),
inference(avatar_split_clause,[],[f3460,f3029,f2107]) ).
fof(f2107,plain,
( spl144_199
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_199])]) ).
fof(f3460,plain,
( e23 = h4(e12)
| ~ sP28 ),
inference(forward_demodulation,[],[f497,f1027]) ).
fof(f497,plain,
( ~ sP28
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP28 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f3457,plain,
( spl144_168
| ~ spl144_123 ),
inference(avatar_split_clause,[],[f875,f1738,f1935]) ).
fof(f1738,plain,
( spl144_123
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_123])]) ).
fof(f875,plain,
( ~ sP74
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( ( e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e13 != op1(e13,e10) )
| ~ sP74 ),
inference(nnf_transformation,[],[f96]) ).
fof(f3451,plain,
( spl144_65
| ~ spl144_118 ),
inference(avatar_split_clause,[],[f739,f1718,f1482]) ).
fof(f1718,plain,
( spl144_118
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_118])]) ).
fof(f739,plain,
( ~ sP108
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13)
& e12 = op1(e12,e13) )
| ~ sP108 ),
inference(nnf_transformation,[],[f130]) ).
fof(f3450,plain,
( spl144_355
| spl144_353
| spl144_401
| spl144_346 ),
inference(avatar_split_clause,[],[f3449,f2906,f3324,f2960,f2979]) ).
fof(f3449,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = h2(e12) ),
inference(forward_demodulation,[],[f1106,f1016]) ).
fof(f1106,plain,
( e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3446,plain,
spl144_190,
inference(avatar_split_clause,[],[f3445,f2052]) ).
fof(f3445,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[],[f1113,f1112]) ).
fof(f1113,plain,
e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f3444,plain,
( ~ spl144_55
| ~ spl144_77 ),
inference(avatar_split_clause,[],[f502,f1538,f1435]) ).
fof(f1435,plain,
( spl144_55
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_55])]) ).
fof(f502,plain,
( e20 != op2(e22,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e20 != op2(e22,e22) )
| ~ sP26 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e20 != op2(e22,e22) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f3443,plain,
( spl144_411
| ~ spl144_16 ),
inference(avatar_split_clause,[],[f353,f1261,f3440]) ).
fof(f353,plain,
( ~ sP63
| e23 = op2(e20,op2(e20,e23)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f3435,plain,
( ~ spl144_108
| spl144_25 ),
inference(avatar_split_clause,[],[f841,f1299,f1678]) ).
fof(f1678,plain,
( spl144_108
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_108])]) ).
fof(f841,plain,
( e12 = op1(e12,e13)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e13 != op1(e12,e12)
& e13 = op1(e11,e11)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13) )
| ~ sP82 ),
inference(nnf_transformation,[],[f104]) ).
fof(f3432,plain,
( spl144_19
| spl144_18
| ~ spl144_27
| spl144_16
| spl144_21 ),
inference(avatar_split_clause,[],[f614,f1282,f1261,f1308,f1269,f1273]) ).
fof(f614,plain,
( e23 = op2(e22,e22)
| sP63
| e22 != op2(e22,e23)
| sP65
| sP64 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e23 = op2(e23,op2(e23,e23))
& ( e21 != op2(e21,e23)
| e23 = op2(e21,e21) )
& e22 = op2(e23,op2(e23,e22))
& e20 = op2(e23,op2(e23,e20))
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e21 = op2(e23,op2(e23,e21))
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) ) )
| sP65
| sP64
| sP63 )
& ( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23) )
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f11,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 = op2(e20,e22)
& e23 != op2(e23,e22)
& op2(e20,e20) != e22
& e22 = op2(e23,e23) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f23,plain,
( ( e22 = op2(e22,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,plain,
( ( e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 != op2(e23,e22) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f30,plain,
( ( e23 != op2(e23,e20)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23)
& e20 = op2(e23,e23) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e22 != op2(e21,e21)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e21 = op2(e21,e22) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e21 != op2(e21,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21)
& e23 = op2(e21,e21) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e22 != op2(e22,e23) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( e21 = op2(e21,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e23 != op2(e21,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( op2(e20,e20) != e23
& e20 = op2(e20,e23)
& e20 != op2(e20,e23)
& op2(e20,e20) = e23 )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e23 = op2(e21,e21)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& e21 != op2(e21,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e21 = op2(e21,e20)
& e23 != op2(e23,e20)
& e20 != op2(e21,e21)
& e20 = op2(e23,e23) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e22 = op2(e22,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e20 != op2(e23,e23)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e23,e20) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( e20 = op2(e23,e23)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 != op2(e22,e22) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f60,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e23,e22)
& e22 != op2(e23,e23) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e23 != op2(e23,e21) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e21 = op2(e21,e20)
& e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e23 = op2(e23,e21)
& e21 != op2(e23,e23)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f67,plain,
( ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21 )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e20 = op2(e20,e20) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e20 = op2(e20,e23)
& e21 != op2(e21,e23)
& op2(e20,e20) != e23
& e23 = op2(e21,e21) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f71,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e23,e23)
& e20 = op2(e20,e20)
& e23 = op2(e23,e20) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( e22 = op2(e22,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f74,plain,
( ( e20 != op2(e20,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) = e23 )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 = op2(e22,e22) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e22 != op2(e21,e21)
& e23 != op2(e23,e22)
& e21 = op2(e21,e22)
& e22 = op2(e23,e23) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f81,plain,
( ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f11,axiom,
( ( ( e23 = op2(e23,op2(e23,e23))
& ( e21 != op2(e21,e23)
| e23 = op2(e21,e21) )
& e22 = op2(e23,op2(e23,e22))
& e20 = op2(e23,op2(e23,e20))
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e21 = op2(e23,op2(e23,e21))
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) ) )
| ( ( e23 != op2(e23,e21)
| e21 = op2(e23,e23) )
& e20 = op2(e21,op2(e21,e20))
& e21 = op2(e21,op2(e21,e21))
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e21,op2(e21,e22))
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& e23 = op2(e21,op2(e21,e23)) )
| ( ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,op2(e22,e20))
& e21 = op2(e22,op2(e22,e21))
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& e22 = op2(e22,op2(e22,e22))
& e23 = op2(e22,op2(e22,e23)) )
| ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e20,op2(e20,e21))
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e20,op2(e20,e23))
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,op2(e20,e22))
& e20 = op2(e20,op2(e20,e20)) ) )
& ( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23) )
| ( e20 != op2(e20,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23 )
| ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22) )
| ( e22 = op2(e22,e23)
& op2(e20,e20) = e23
& e20 != op2(e20,e23)
& e23 != op2(e22,e22) )
| ( e22 != op2(e21,e21)
& e23 != op2(e23,e22)
& e21 = op2(e21,e22)
& e22 = op2(e23,e23) )
| ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 = op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ( e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21) )
| ( e20 != op2(e20,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) = e23 )
| ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 != op2(e21,e20)
& e21 = op2(e21,e20) )
| ( e22 = op2(e22,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22) )
| ( e20 != op2(e20,e20)
& e20 != op2(e23,e23)
& e20 = op2(e20,e20)
& e23 = op2(e23,e20) )
| ( op2(e20,e20) != e23
& e23 = op2(e22,e22)
& e20 = op2(e20,e23)
& e22 != op2(e22,e23) )
| ( e20 = op2(e20,e23)
& e21 != op2(e21,e23)
& op2(e20,e20) != e23
& e23 = op2(e21,e21) )
| ( e20 != op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e20 = op2(e20,e20) )
| ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21 )
| ( e21 != op2(e21,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 = op2(e21,e21) )
| ( e23 = op2(e23,e21)
& e21 != op2(e23,e23)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ( e21 = op2(e21,e20)
& e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20) )
| ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e23 != op2(e23,e21) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e23,e22)
& e22 != op2(e23,e23) )
| ( e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e21 != op2(e21,e23) )
| ( e20 = op2(e23,e23)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 != op2(e22,e22) )
| ( e20 != op2(e23,e23)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e23,e20) )
| ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e22 = op2(e22,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e20 = op2(e20,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21) )
| ( e22 != op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22) )
| ( op2(e20,e20) != e21
& e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e20 != op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e21 = op2(e21,e20)
& e23 != op2(e23,e20)
& e20 != op2(e21,e21)
& e20 = op2(e23,e23) )
| ( e23 = op2(e21,e21)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& e21 != op2(e21,e23) )
| ( op2(e20,e20) != e23
& e20 = op2(e20,e23)
& e20 != op2(e20,e23)
& op2(e20,e20) = e23 )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e21,e22)
& e22 != op2(e21,e21) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e21 = op2(e21,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e23 != op2(e21,e21) )
| ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e22 != op2(e22,e23) )
| ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ( e21 != op2(e21,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21)
& e23 = op2(e21,e21) )
| ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ( e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e23,e23)
& e23 != op2(e23,e20) )
| ( e22 != op2(e21,e21)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e21 = op2(e21,e22) )
| ( e22 != op2(e23,e23)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e23,e22) )
| ( e23 != op2(e23,e20)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23)
& e20 = op2(e23,e23) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ( e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 != op2(e23,e22) )
| ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e22 = op2(e22,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22) )
| ( e20 = op2(e20,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e21 != op2(e21,e20) )
| ( e20 = op2(e20,e22)
& e23 != op2(e23,e22)
& op2(e20,e20) != e22
& e22 = op2(e23,e23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f3414,plain,
( ~ spl144_65
| ~ spl144_147 ),
inference(avatar_split_clause,[],[f836,f1834,f1482]) ).
fof(f1834,plain,
( spl144_147
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_147])]) ).
fof(f836,plain,
( ~ sP83
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ~ sP83 ),
inference(nnf_transformation,[],[f105]) ).
fof(f3408,plain,
( ~ spl144_69
| ~ spl144_241 ),
inference(avatar_split_clause,[],[f512,f2302,f1500]) ).
fof(f1500,plain,
( spl144_69
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_69])]) ).
fof(f512,plain,
( e23 != op2(e23,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e21 = op2(e21,e20)
& e23 != op2(e23,e20)
& e20 != op2(e21,e21)
& e20 = op2(e23,e23) )
| ~ sP24 ),
inference(nnf_transformation,[],[f45]) ).
fof(f3406,plain,
( ~ spl144_24
| spl144_209 ),
inference(avatar_split_clause,[],[f678,f2161,f1295]) ).
fof(f1295,plain,
( spl144_24
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_24])]) ).
fof(f678,plain,
( e13 = op1(e12,e12)
| ~ sP123 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e13,e13) )
| ~ sP123 ),
inference(nnf_transformation,[],[f145]) ).
fof(f3403,plain,
( spl144_248
| spl144_9
| spl144_336
| spl144_304 ),
inference(avatar_split_clause,[],[f317,f2624,f2807,f1230,f2354]) ).
fof(f317,plain,
( e20 = op2(e21,e22)
| e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3400,plain,
( spl144_305
| spl144_70
| spl144_362
| spl144_306 ),
inference(avatar_split_clause,[],[f321,f2633,f3060,f1504,f2628]) ).
fof(f321,plain,
( e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3399,plain,
( spl144_202
| spl144_10
| spl144_57
| spl144_353 ),
inference(avatar_split_clause,[],[f1103,f2960,f1444,f1234,f2124]) ).
fof(f1103,plain,
( e21 = op2(e20,e21)
| op2(e20,e20) = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3394,plain,
( spl144_101
| ~ spl144_138 ),
inference(avatar_split_clause,[],[f708,f1798,f1650]) ).
fof(f1798,plain,
( spl144_138
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_138])]) ).
fof(f708,plain,
( ~ sP115
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( e10 != op1(e10,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e10,e10) )
| ~ sP115 ),
inference(nnf_transformation,[],[f137]) ).
fof(f3390,plain,
( spl144_36
| ~ spl144_146 ),
inference(avatar_split_clause,[],[f783,f1830,f1350]) ).
fof(f1830,plain,
( spl144_146
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f783,plain,
( ~ sP97
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e13 != op1(e13,e11)
& e11 != op1(e11,e11) )
| ~ sP97 ),
inference(nnf_transformation,[],[f119]) ).
fof(f3383,plain,
( spl144_343
| ~ spl144_19
| ~ spl144_182 ),
inference(avatar_split_clause,[],[f3382,f2007,f1273,f2871]) ).
fof(f3382,plain,
( e23 != op2(e23,e22)
| ~ sP64
| e22 = h4(e12) ),
inference(forward_demodulation,[],[f344,f1027]) ).
fof(f344,plain,
( ~ sP64
| e23 != op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f169]) ).
fof(f3369,plain,
( ~ spl144_115
| spl144_163 ),
inference(avatar_split_clause,[],[f760,f1911,f1706]) ).
fof(f1706,plain,
( spl144_115
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f760,plain,
( e11 = op1(e11,e13)
| ~ sP102 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e13 != op1(e11,e11)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e11,e13) )
| ~ sP102 ),
inference(nnf_transformation,[],[f124]) ).
fof(f3337,plain,
( spl144_355
| ~ spl144_74 ),
inference(avatar_split_clause,[],[f3336,f1523,f2979]) ).
fof(f1523,plain,
( spl144_74
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_74])]) ).
fof(f3336,plain,
( ~ sP19
| e21 = h2(e12) ),
inference(forward_demodulation,[],[f533,f1016]) ).
fof(f533,plain,
( e21 = op2(e21,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP19 ),
inference(nnf_transformation,[],[f40]) ).
fof(f3335,plain,
( ~ spl144_120
| spl144_36 ),
inference(avatar_split_clause,[],[f826,f1350,f1726]) ).
fof(f1726,plain,
( spl144_120
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_120])]) ).
fof(f826,plain,
( e11 = op1(e13,e13)
| ~ sP86 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP86 ),
inference(nnf_transformation,[],[f108]) ).
fof(f3332,plain,
( ~ spl144_41
| spl144_402 ),
inference(avatar_split_clause,[],[f907,f3329,f1372]) ).
fof(f907,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f3321,plain,
( spl144_400
| ~ spl144_38 ),
inference(avatar_split_clause,[],[f902,f1360,f3318]) ).
fof(f902,plain,
( ~ sP68
| e13 = op1(e13,op1(e13,e13)) ),
inference(cnf_transformation,[],[f297]) ).
fof(f3312,plain,
( spl144_355
| ~ spl144_201 ),
inference(avatar_split_clause,[],[f3311,f2119,f2979]) ).
fof(f2119,plain,
( spl144_201
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_201])]) ).
fof(f3311,plain,
( ~ sP57
| e21 = h2(e12) ),
inference(forward_demodulation,[],[f379,f1016]) ).
fof(f379,plain,
( ~ sP57
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP57 ),
inference(nnf_transformation,[],[f78]) ).
fof(f3271,plain,
( ~ spl144_219
| spl144_313 ),
inference(avatar_split_clause,[],[f3270,f2673,f2214]) ).
fof(f2214,plain,
( spl144_219
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_219])]) ).
fof(f3270,plain,
( e20 = h2(e12)
| ~ sP51 ),
inference(forward_demodulation,[],[f403,f1016]) ).
fof(f403,plain,
( e20 = op2(e21,e21)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e22 = op2(e22,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22) )
| ~ sP51 ),
inference(nnf_transformation,[],[f72]) ).
fof(f3267,plain,
( ~ spl144_125
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f683,f1608,f1746]) ).
fof(f1746,plain,
( spl144_125
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_125])]) ).
fof(f683,plain,
( e10 != op1(e12,e12)
| ~ sP122 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ~ sP122 ),
inference(nnf_transformation,[],[f144]) ).
fof(f3263,plain,
( spl144_54
| ~ spl144_141 ),
inference(avatar_split_clause,[],[f775,f1810,f1430]) ).
fof(f1810,plain,
( spl144_141
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_141])]) ).
fof(f775,plain,
( ~ sP99
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP99 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3260,plain,
( ~ spl144_179
| spl144_159 ),
inference(avatar_split_clause,[],[f434,f1892,f1989]) ).
fof(f1989,plain,
( spl144_179
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_179])]) ).
fof(f434,plain,
( e22 = op2(e22,e21)
| ~ sP43 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP43 ),
inference(nnf_transformation,[],[f64]) ).
fof(f3257,plain,
( ~ spl144_72
| spl144_392 ),
inference(avatar_split_clause,[],[f3252,f3254,f1513]) ).
fof(f1513,plain,
( spl144_72
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_72])]) ).
fof(f3252,plain,
( e21 = h4(e12)
| ~ sP40 ),
inference(forward_demodulation,[],[f448,f1027]) ).
fof(f448,plain,
( ~ sP40
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e23 != op2(e23,e21) )
| ~ sP40 ),
inference(nnf_transformation,[],[f61]) ).
fof(f3251,plain,
( ~ spl144_134
| spl144_53 ),
inference(avatar_split_clause,[],[f833,f1425,f1782]) ).
fof(f1782,plain,
( spl144_134
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_134])]) ).
fof(f833,plain,
( e10 = op1(e11,e11)
| ~ sP84 ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ~ sP84 ),
inference(nnf_transformation,[],[f106]) ).
fof(f3250,plain,
( spl144_165
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f3249,f2186,f1920]) ).
fof(f2186,plain,
( spl144_214
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_214])]) ).
fof(f3249,plain,
( ~ sP48
| e23 = h2(e12) ),
inference(forward_demodulation,[],[f414,f1016]) ).
fof(f414,plain,
( e23 = op2(e21,e21)
| ~ sP48 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e20 = op2(e20,e23)
& e21 != op2(e21,e23)
& op2(e20,e20) != e23
& e23 = op2(e21,e21) )
| ~ sP48 ),
inference(nnf_transformation,[],[f69]) ).
fof(f3246,plain,
( ~ spl144_152
| ~ spl144_48 ),
inference(avatar_split_clause,[],[f831,f1403,f1858]) ).
fof(f1403,plain,
( spl144_48
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_48])]) ).
fof(f831,plain,
( ~ sP85
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ~ sP85 ),
inference(nnf_transformation,[],[f107]) ).
fof(f3221,plain,
( spl144_11
| ~ spl144_33 ),
inference(avatar_split_clause,[],[f597,f1336,f1238]) ).
fof(f1336,plain,
( spl144_33
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_33])]) ).
fof(f597,plain,
( ~ sP3
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f3220,plain,
( ~ spl144_144
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f735,f2052,f1822]) ).
fof(f1822,plain,
( spl144_144
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_144])]) ).
fof(f735,plain,
( e10 != op1(e13,e13)
| ~ sP109 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e13 = op1(e13,e10) )
| ~ sP109 ),
inference(nnf_transformation,[],[f131]) ).
fof(f3219,plain,
( spl144_132
| spl144_141
| spl144_15
| spl144_110
| spl144_140
| spl144_1
| spl144_63
| spl144_128
| spl144_136
| spl144_37
| spl144_35
| spl144_113
| spl144_126
| spl144_32
| spl144_102
| spl144_24
| spl144_114
| spl144_133
| spl144_119
| spl144_51
| spl144_48
| spl144_112
| spl144_98
| spl144_144
| spl144_135
| spl144_131
| spl144_108
| spl144_134
| spl144_122
| spl144_99
| spl144_91
| spl144_101
| spl144_118
| spl144_146
| spl144_97
| spl144_137
| spl144_138
| spl144_117
| spl144_103
| spl144_121
| spl144_8
| spl144_129
| spl144_124
| spl144_127
| spl144_130
| spl144_139
| spl144_145
| spl144_107
| spl144_116
| spl144_143
| spl144_125
| spl144_123
| spl144_106
| spl144_111
| spl144_104
| spl144_120
| spl144_90
| spl144_147
| spl144_115
| spl144_148
| spl144_105
| spl144_142
| spl144_100
| spl144_109 ),
inference(avatar_split_clause,[],[f931,f1682,f1646,f1814,f1666,f1838,f1706,f1834,f1598,f1726,f1662,f1690,f1670,f1738,f1746,f1818,f1710,f1674,f1826,f1802,f1766,f1754,f1742,f1762,f1225,f1730,f1658,f1714,f1798,f1794,f1632,f1830,f1718,f1650,f1603,f1642,f1734,f1782,f1678,f1770,f1786,f1822,f1637,f1694,f1403,f1416,f1722,f1778,f1702,f1295,f1654,f1331,f1750,f1698,f1345,f1354,f1790,f1758,f1472,f1195,f1806,f1686,f1256,f1810,f1774]) ).
fof(f1774,plain,
( spl144_132
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_132])]) ).
fof(f1806,plain,
( spl144_140
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_140])]) ).
fof(f1758,plain,
( spl144_128
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_128])]) ).
fof(f1790,plain,
( spl144_136
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_136])]) ).
fof(f1345,plain,
( spl144_35
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_35])]) ).
fof(f1698,plain,
( spl144_113
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_113])]) ).
fof(f1750,plain,
( spl144_126
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_126])]) ).
fof(f1331,plain,
( spl144_32
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_32])]) ).
fof(f1778,plain,
( spl144_133
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_133])]) ).
fof(f1722,plain,
( spl144_119
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_119])]) ).
fof(f1694,plain,
( spl144_112
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_112])]) ).
fof(f1786,plain,
( spl144_135
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_135])]) ).
fof(f1770,plain,
( spl144_131
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_131])]) ).
fof(f1734,plain,
( spl144_122
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_122])]) ).
fof(f1642,plain,
( spl144_99
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_99])]) ).
fof(f1603,plain,
( spl144_91
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_91])]) ).
fof(f1714,plain,
( spl144_117
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_117])]) ).
fof(f1730,plain,
( spl144_121
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_121])]) ).
fof(f1754,plain,
( spl144_127
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_127])]) ).
fof(f1766,plain,
( spl144_130
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_130])]) ).
fof(f1802,plain,
( spl144_139
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_139])]) ).
fof(f1826,plain,
( spl144_145
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_145])]) ).
fof(f1674,plain,
( spl144_107
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_107])]) ).
fof(f1818,plain,
( spl144_143
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_143])]) ).
fof(f1670,plain,
( spl144_106
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_106])]) ).
fof(f1598,plain,
( spl144_90
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_90])]) ).
fof(f1838,plain,
( spl144_148
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_148])]) ).
fof(f1666,plain,
( spl144_105
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f1814,plain,
( spl144_142
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_142])]) ).
fof(f1646,plain,
( spl144_100
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_100])]) ).
fof(f1682,plain,
( spl144_109
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_109])]) ).
fof(f931,plain,
( sP110
| sP126
| sP93
| sP105
| sP96
| sP102
| sP83
| sP87
| sP86
| sP89
| sP128
| sP79
| sP74
| sP122
| sP88
| sP77
| sP76
| sP69
| sP117
| sP107
| sP71
| sP113
| sP127
| sP95
| sP106
| sP129
| sP118
| sP115
| sP72
| sP114
| sP97
| sP108
| e10 = op1(e10,e10)
| sP101
| sP103
| sP111
| sP84
| sP82
| sP121
| sP75
| sP109
| sP80
| sP78
| sP85
| sP100
| sP91
| sP70
| sP104
| sP123
| sP94
| sP130
| sP112
| sP73
| sP92
| sP125
| sP124
| sP116
| sP119
| sP131
| sP120
| sP81
| sP90
| sP99
| sP98 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3218,plain,
( spl144_65
| ~ spl144_147 ),
inference(avatar_split_clause,[],[f837,f1834,f1482]) ).
fof(f837,plain,
( ~ sP83
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f282]) ).
fof(f3213,plain,
( spl144_38
| spl144_41
| spl144_39
| spl144_389 ),
inference(avatar_split_clause,[],[f927,f3210,f1364,f1372,f1360]) ).
fof(f927,plain,
( e10 = op1(e11,op1(e11,e10))
| sP66
| sP67
| sP68 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3196,plain,
( spl144_149
| ~ spl144_125 ),
inference(avatar_split_clause,[],[f681,f1746,f1844]) ).
fof(f681,plain,
( ~ sP122
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f243]) ).
fof(f3195,plain,
( spl144_38
| spl144_387
| spl144_41
| spl144_39 ),
inference(avatar_split_clause,[],[f922,f1364,f1372,f3192,f1360]) ).
fof(f922,plain,
( sP66
| sP67
| e12 = op1(e11,op1(e11,e12))
| sP68 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3185,plain,
( spl144_196
| ~ spl144_148 ),
inference(avatar_split_clause,[],[f787,f1838,f2080]) ).
fof(f787,plain,
( ~ sP96
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ~ sP96 ),
inference(nnf_transformation,[],[f118]) ).
fof(f3182,plain,
( ~ spl144_43
| ~ spl144_129 ),
inference(avatar_split_clause,[],[f662,f1762,f1381]) ).
fof(f662,plain,
( ~ sP127
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f238]) ).
fof(f3181,plain,
( ~ spl144_110
| ~ spl144_276 ),
inference(avatar_split_clause,[],[f847,f2484,f1686]) ).
fof(f847,plain,
( e12 != op1(e12,e12)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f3180,plain,
~ spl144_275,
inference(avatar_split_clause,[],[f623,f2479]) ).
fof(f623,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3174,plain,
( ~ spl144_298
| ~ spl144_200 ),
inference(avatar_split_clause,[],[f3173,f2114,f2587]) ).
fof(f2114,plain,
( spl144_200
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_200])]) ).
fof(f3173,plain,
( ~ sP11
| e22 != h2(e12) ),
inference(forward_demodulation,[],[f565,f1016]) ).
fof(f565,plain,
( e22 != op2(e21,e21)
| ~ sP11 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e22 != op2(e21,e21)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e21 = op2(e21,e22) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f3170,plain,
( ~ spl144_181
| ~ spl144_298 ),
inference(avatar_split_clause,[],[f3169,f2587,f2003]) ).
fof(f2003,plain,
( spl144_181
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_181])]) ).
fof(f3169,plain,
( e22 != h2(e12)
| ~ sP58 ),
inference(forward_demodulation,[],[f377,f1016]) ).
fof(f377,plain,
( ~ sP58
| e22 != op2(e21,e21) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e22 != op2(e21,e21)
& e23 != op2(e23,e22)
& e21 = op2(e21,e22)
& e22 = op2(e23,e23) )
| ~ sP58 ),
inference(nnf_transformation,[],[f79]) ).
fof(f3167,plain,
( ~ spl144_124
| ~ spl144_65 ),
inference(avatar_split_clause,[],[f719,f1482,f1742]) ).
fof(f719,plain,
( e13 != op1(e13,e13)
| ~ sP113 ),
inference(cnf_transformation,[],[f252]) ).
fof(f3166,plain,
( spl144_101
| ~ spl144_140 ),
inference(avatar_split_clause,[],[f690,f1806,f1650]) ).
fof(f690,plain,
( ~ sP120
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 != op1(e13,e10)
& e10 = op1(e13,e13) )
| ~ sP120 ),
inference(nnf_transformation,[],[f142]) ).
fof(f3083,plain,
( ~ spl144_130
| spl144_183 ),
inference(avatar_split_clause,[],[f742,f2012,f1766]) ).
fof(f742,plain,
( e10 = op1(e10,e13)
| ~ sP107 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e13 = op1(e11,e11) )
| ~ sP107 ),
inference(nnf_transformation,[],[f129]) ).
fof(f3068,plain,
( spl144_363
| ~ spl144_41 ),
inference(avatar_split_clause,[],[f909,f1372,f3065]) ).
fof(f909,plain,
( ~ sP67
| e12 = op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f298]) ).
fof(f3063,plain,
( spl144_241
| spl144_215
| spl144_362
| spl144_23 ),
inference(avatar_split_clause,[],[f1105,f1290,f3060,f2190,f2302]) ).
fof(f1105,plain,
( e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3057,plain,
( spl144_361
| ~ spl144_39 ),
inference(avatar_split_clause,[],[f914,f1364,f3054]) ).
fof(f914,plain,
( ~ sP66
| e12 = op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f3052,plain,
( spl144_203
| spl144_22
| spl144_301
| spl144_3 ),
inference(avatar_split_clause,[],[f1085,f1204,f2604,f1286,f2128]) ).
fof(f1085,plain,
( e23 = op2(e23,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3051,plain,
( ~ spl144_71
| ~ spl144_208 ),
inference(avatar_split_clause,[],[f549,f2155,f1509]) ).
fof(f2155,plain,
( spl144_208
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_208])]) ).
fof(f549,plain,
( ~ sP15
| e20 != op2(e20,e21) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f3050,plain,
( spl144_60
| ~ spl144_221 ),
inference(avatar_split_clause,[],[f501,f2222,f1458]) ).
fof(f2222,plain,
( spl144_221
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f501,plain,
( ~ sP27
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ~ sP27 ),
inference(nnf_transformation,[],[f48]) ).
fof(f3049,plain,
( spl144_3
| ~ spl144_87 ),
inference(avatar_split_clause,[],[f362,f1583,f1204]) ).
fof(f1583,plain,
( spl144_87
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_87])]) ).
fof(f362,plain,
( ~ sP61
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP61 ),
inference(nnf_transformation,[],[f82]) ).
fof(f3047,plain,
( ~ spl144_149
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f852,f1670,f1844]) ).
fof(f852,plain,
( ~ sP79
| e12 != op1(e12,e10) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP79 ),
inference(nnf_transformation,[],[f101]) ).
fof(f3046,plain,
( ~ spl144_198
| spl144_3 ),
inference(avatar_split_clause,[],[f396,f1204,f2098]) ).
fof(f2098,plain,
( spl144_198
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_198])]) ).
fof(f396,plain,
( e23 = op2(e23,e23)
| ~ sP53 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e20 != op2(e20,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& op2(e20,e20) = e23 )
| ~ sP53 ),
inference(nnf_transformation,[],[f74]) ).
fof(f3044,plain,
( spl144_330
| spl144_149
| spl144_334
| spl144_340 ),
inference(avatar_split_clause,[],[f932,f2837,f2796,f1844,f2767]) ).
fof(f932,plain,
( e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3042,plain,
( spl144_65
| ~ spl144_35 ),
inference(avatar_split_clause,[],[f803,f1345,f1482]) ).
fof(f803,plain,
( ~ sP92
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e13 = op1(e13,e13)
& e11 != op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e11,e11) )
| ~ sP92 ),
inference(nnf_transformation,[],[f114]) ).
fof(f3041,plain,
( spl144_53
| ~ spl144_133 ),
inference(avatar_split_clause,[],[f890,f1778,f1425]) ).
fof(f890,plain,
( ~ sP70
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f3040,plain,
( spl144_3
| ~ spl144_230 ),
inference(avatar_split_clause,[],[f545,f2258,f1204]) ).
fof(f2258,plain,
( spl144_230
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_230])]) ).
fof(f545,plain,
( ~ sP16
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e22 != op2(e22,e23) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f3037,plain,
( spl144_206
| spl144_47
| spl144_305
| spl144_360 ),
inference(avatar_split_clause,[],[f1102,f3034,f2628,f1398,f2143]) ).
fof(f1102,plain,
( e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3026,plain,
( ~ spl144_184
| ~ spl144_57 ),
inference(avatar_split_clause,[],[f479,f1444,f2018]) ).
fof(f2018,plain,
( spl144_184
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_184])]) ).
fof(f479,plain,
( op2(e20,e20) != e21
| ~ sP32 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21) )
| ~ sP32 ),
inference(nnf_transformation,[],[f53]) ).
fof(f3023,plain,
( ~ spl144_106
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f855,f1608,f1670]) ).
fof(f855,plain,
( e10 != op1(e12,e12)
| ~ sP79 ),
inference(cnf_transformation,[],[f286]) ).
fof(f3020,plain,
( ~ spl144_49
| ~ spl144_90 ),
inference(avatar_split_clause,[],[f822,f1598,f1407]) ).
fof(f822,plain,
( ~ sP87
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e11 = op1(e11,e11)
& e10 != op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP87 ),
inference(nnf_transformation,[],[f109]) ).
fof(f3019,plain,
( ~ spl144_128
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f704,f1421,f1758]) ).
fof(f704,plain,
( e12 != op1(e11,e11)
| ~ sP116 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11) )
| ~ sP116 ),
inference(nnf_transformation,[],[f138]) ).
fof(f3018,plain,
( spl144_313
| ~ spl144_222 ),
inference(avatar_split_clause,[],[f3017,f2226,f2673]) ).
fof(f2226,plain,
( spl144_222
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_222])]) ).
fof(f3017,plain,
( ~ sP36
| e20 = h2(e12) ),
inference(forward_demodulation,[],[f463,f1016]) ).
fof(f463,plain,
( ~ sP36
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e20 != op2(e23,e23)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e23,e20) )
| ~ sP36 ),
inference(nnf_transformation,[],[f57]) ).
fof(f3013,plain,
( spl144_4
| ~ spl144_178 ),
inference(avatar_split_clause,[],[f469,f1982,f1208]) ).
fof(f1982,plain,
( spl144_178
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_178])]) ).
fof(f469,plain,
( ~ sP35
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP35 ),
inference(nnf_transformation,[],[f56]) ).
fof(f3006,plain,
( spl144_357
| spl144_18
| spl144_16
| spl144_19 ),
inference(avatar_split_clause,[],[f618,f1273,f1261,f1269,f3003]) ).
fof(f618,plain,
( sP64
| sP63
| sP65
| e20 = op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f2993,plain,
( spl144_356
| spl144_193
| spl144_241
| spl144_206 ),
inference(avatar_split_clause,[],[f325,f2143,f2302,f2065,f2990]) ).
fof(f325,plain,
( e20 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2988,plain,
( ~ spl144_190
| ~ spl144_109 ),
inference(avatar_split_clause,[],[f729,f1682,f2052]) ).
fof(f729,plain,
( ~ sP110
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP110 ),
inference(nnf_transformation,[],[f132]) ).
fof(f2985,plain,
( ~ spl144_149
| ~ spl144_107 ),
inference(avatar_split_clause,[],[f866,f1674,f1844]) ).
fof(f866,plain,
( ~ sP76
| e12 != op1(e12,e10) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e10 != op1(e11,e11)
& e12 != op1(e12,e10)
& e11 = op1(e11,e10)
& e10 = op1(e12,e12) )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f2983,plain,
( ~ spl144_35
| ~ spl144_65 ),
inference(avatar_split_clause,[],[f801,f1482,f1345]) ).
fof(f801,plain,
( e13 != op1(e13,e13)
| ~ sP92 ),
inference(cnf_transformation,[],[f273]) ).
fof(f2982,plain,
( ~ spl144_170
| spl144_355 ),
inference(avatar_split_clause,[],[f2977,f2979,f1944]) ).
fof(f1944,plain,
( spl144_170
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_170])]) ).
fof(f2977,plain,
( e21 = h2(e12)
| ~ sP44 ),
inference(forward_demodulation,[],[f431,f1016]) ).
fof(f431,plain,
( e21 = op2(e21,e21)
| ~ sP44 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e23 = op2(e23,e21)
& e21 != op2(e23,e23)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP44 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2975,plain,
( spl144_54
| ~ spl144_126 ),
inference(avatar_split_clause,[],[f721,f1750,f1430]) ).
fof(f721,plain,
( ~ sP112
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e13,e13) )
| ~ sP112 ),
inference(nnf_transformation,[],[f134]) ).
fof(f2974,plain,
( ~ spl144_32
| spl144_276 ),
inference(avatar_split_clause,[],[f648,f2484,f1331]) ).
fof(f648,plain,
( e12 = op1(e12,e12)
| ~ sP130 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( e10 = op1(e10,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 = op1(e12,e12) )
| ~ sP130 ),
inference(nnf_transformation,[],[f152]) ).
fof(f2972,plain,
( ~ spl144_116
| spl144_65 ),
inference(avatar_split_clause,[],[f863,f1482,f1710]) ).
fof(f863,plain,
( e13 = op1(e13,e13)
| ~ sP77 ),
inference(cnf_transformation,[],[f288]) ).
fof(f2970,plain,
( spl144_354
| spl144_250
| spl144_44
| spl144_54 ),
inference(avatar_split_clause,[],[f942,f1430,f1385,f2366,f2967]) ).
fof(f942,plain,
( e13 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2947,plain,
( spl144_153
| ~ spl144_119 ),
inference(avatar_split_clause,[],[f804,f1722,f1862]) ).
fof(f804,plain,
( ~ sP91
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ~ sP91 ),
inference(nnf_transformation,[],[f113]) ).
fof(f2946,plain,
( spl144_183
| ~ spl144_143 ),
inference(avatar_split_clause,[],[f817,f1818,f2012]) ).
fof(f817,plain,
( ~ sP88
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13)
& e13 = op1(e12,e12) )
| ~ sP88 ),
inference(nnf_transformation,[],[f110]) ).
fof(f2945,plain,
( ~ spl144_112
| spl144_101 ),
inference(avatar_split_clause,[],[f856,f1650,f1694]) ).
fof(f856,plain,
( e10 = op1(e10,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e12 = op1(e12,e10)
& e10 != op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP78 ),
inference(nnf_transformation,[],[f100]) ).
fof(f2943,plain,
( ~ spl144_227
| spl144_21 ),
inference(avatar_split_clause,[],[f369,f1282,f2246]) ).
fof(f2246,plain,
( spl144_227
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_227])]) ).
fof(f369,plain,
( e23 = op2(e22,e22)
| ~ sP60 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22) )
| ~ sP60 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2942,plain,
( spl144_60
| ~ spl144_188 ),
inference(avatar_split_clause,[],[f452,f2042,f1458]) ).
fof(f2042,plain,
( spl144_188
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_188])]) ).
fof(f452,plain,
( ~ sP39
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e23,e22)
& e22 != op2(e23,e23) )
| ~ sP39 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2941,plain,
( spl144_2
| spl144_50
| spl144_244
| spl144_84 ),
inference(avatar_split_clause,[],[f1186,f1570,f2318,f1412,f1199]) ).
fof(f1186,plain,
( e11 = op1(e10,e12)
| e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2938,plain,
( ~ spl144_117
| ~ spl144_43 ),
inference(avatar_split_clause,[],[f696,f1381,f1714]) ).
fof(f696,plain,
( e11 != op1(e11,e11)
| ~ sP118 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e10 = op1(e10,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP118 ),
inference(nnf_transformation,[],[f140]) ).
fof(f2920,plain,
( spl144_28
| spl144_186
| spl144_231
| spl144_72
| spl144_78
| spl144_199
| spl144_33
| spl144_155
| spl144_198
| spl144_219
| spl144_184
| spl144_197
| spl144_76
| spl144_185
| spl144_58
| spl144_26
| spl144_238
| spl144_64
| spl144_222
| spl144_239
| spl144_179
| spl144_80
| spl144_218
| spl144_240
| spl144_46
| spl144_221
| spl144_201
| spl144_30
| spl144_59
| spl144_200
| spl144_75
| spl144_228
| spl144_226
| spl144_170
| spl144_223
| spl144_214
| spl144_235
| spl144_229
| spl144_243
| spl144_230
| spl144_55
| spl144_178
| spl144_242
| spl144_220
| spl144_227
| spl144_74
| spl144_88
| spl144_160
| spl144_236
| spl144_69
| spl144_96
| ~ spl144_5
| spl144_232
| spl144_208
| spl144_225
| spl144_188
| spl144_187
| spl144_224
| spl144_205
| spl144_87
| spl144_237
| spl144_233
| spl144_234
| spl144_181 ),
inference(avatar_split_clause,[],[f610,f2003,f2274,f2270,f2286,f1583,f2138,f2234,f2035,f2042,f2238,f2155,f2266,f1212,f1626,f1500,f2282,f1897,f1588,f1523,f2246,f2218,f2306,f1982,f1435,f2258,f2310,f2254,f2278,f2186,f2230,f1944,f2242,f2250,f1528,f2114,f1454,f1322,f2119,f2222,f1394,f2298,f2210,f1552,f1989,f2294,f2226,f1477,f2290,f1304,f1448,f2025,f1533,f2088,f2018,f2214,f2098,f1874,f1336,f2107,f1543,f1513,f2262,f2030,f1313]) ).
fof(f1313,plain,
( spl144_28
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_28])]) ).
fof(f2030,plain,
( spl144_186
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_186])]) ).
fof(f1874,plain,
( spl144_155
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_155])]) ).
fof(f2088,plain,
( spl144_197
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_197])]) ).
fof(f1304,plain,
( spl144_26
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_26])]) ).
fof(f2290,plain,
( spl144_238
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_238])]) ).
fof(f1552,plain,
( spl144_80
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_80])]) ).
fof(f2210,plain,
( spl144_218
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_218])]) ).
fof(f2298,plain,
( spl144_240
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_240])]) ).
fof(f1394,plain,
( spl144_46
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_46])]) ).
fof(f1322,plain,
( spl144_30
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_30])]) ).
fof(f1454,plain,
( spl144_59
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_59])]) ).
fof(f2242,plain,
( spl144_226
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_226])]) ).
fof(f2310,plain,
( spl144_243
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_243])]) ).
fof(f2306,plain,
( spl144_242
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_242])]) ).
fof(f1588,plain,
( spl144_88
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_88])]) ).
fof(f1897,plain,
( spl144_160
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f1626,plain,
( spl144_96
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_96])]) ).
fof(f2035,plain,
( spl144_187
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_187])]) ).
fof(f2234,plain,
( spl144_224
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f2138,plain,
( spl144_205
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_205])]) ).
fof(f2286,plain,
( spl144_237
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_237])]) ).
fof(f2270,plain,
( spl144_233
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_233])]) ).
fof(f610,plain,
( sP58
| sP7
| sP41
| sP0
| sP61
| sP42
| sP33
| sP31
| sP39
| sP10
| sP15
| sP54
| e20 != op2(e23,e23)
| sP2
| sP24
| sP52
| sP13
| sP23
| sP19
| sP60
| sP12
| sP14
| sP35
| sP26
| sP16
| sP25
| sP59
| sP45
| sP48
| sP6
| sP44
| sP50
| sP18
| sP8
| sP11
| sP5
| sP22
| sP57
| sP27
| sP47
| sP37
| sP17
| sP20
| sP43
| sP49
| sP36
| sP21
| sP46
| sP34
| sP29
| sP62
| sP1
| sP9
| sP32
| sP51
| sP53
| sP30
| sP3
| sP28
| sP4
| sP40
| sP38
| sP55
| sP56 ),
inference(cnf_transformation,[],[f87]) ).
fof(f2919,plain,
( ~ spl144_123
| ~ spl144_173 ),
inference(avatar_split_clause,[],[f872,f1960,f1738]) ).
fof(f872,plain,
( e13 != op1(e13,e10)
| ~ sP74 ),
inference(cnf_transformation,[],[f291]) ).
fof(f2910,plain,
( spl144_196
| ~ spl144_100 ),
inference(avatar_split_clause,[],[f667,f1646,f2080]) ).
fof(f667,plain,
( ~ sP126
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e12 = op1(e13,e13)
& e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e13 != op1(e13,e12) )
| ~ sP126 ),
inference(nnf_transformation,[],[f148]) ).
fof(f2903,plain,
( spl144_6
| ~ spl144_237 ),
inference(avatar_split_clause,[],[f606,f2286,f1216]) ).
fof(f606,plain,
( ~ sP0
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e20 = op2(e20,e22)
& e23 != op2(e23,e22)
& op2(e20,e20) != e22
& e22 = op2(e23,e23) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f2900,plain,
( spl144_183
| ~ spl144_105 ),
inference(avatar_split_clause,[],[f748,f1666,f2012]) ).
fof(f748,plain,
( ~ sP105
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( op1(e10,e10) != e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e10,e13) )
| ~ sP105 ),
inference(nnf_transformation,[],[f127]) ).
fof(f2884,plain,
( ~ spl144_218
| spl144_21 ),
inference(avatar_split_clause,[],[f540,f1282,f2210]) ).
fof(f540,plain,
( e23 = op2(e22,e22)
| ~ sP17 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e21 = op2(e21,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e23 != op2(e21,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2882,plain,
( ~ spl144_103
| spl144_276 ),
inference(avatar_split_clause,[],[f655,f2484,f1658]) ).
fof(f655,plain,
( e12 = op1(e12,e12)
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f2879,plain,
( spl144_196
| ~ spl144_167
| ~ spl144_39 ),
inference(avatar_split_clause,[],[f916,f1364,f1930,f2080]) ).
fof(f916,plain,
( ~ sP66
| e13 != op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f299]) ).
fof(f2876,plain,
( ~ spl144_108
| ~ spl144_163 ),
inference(avatar_split_clause,[],[f840,f1911,f1678]) ).
fof(f840,plain,
( e11 != op1(e11,e13)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f2866,plain,
spl144_274,
inference(avatar_split_clause,[],[f1077,f2473]) ).
fof(f1077,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f2865,plain,
( spl144_196
| ~ spl144_131 ),
inference(avatar_split_clause,[],[f684,f1770,f2080]) ).
fof(f684,plain,
( ~ sP121
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e12 != op1(e13,e13)
& e13 = op1(e13,e12)
& e13 != op1(e13,e12)
& e12 = op1(e13,e13) )
| ~ sP121 ),
inference(nnf_transformation,[],[f143]) ).
fof(f2861,plain,
( spl144_56
| spl144_306
| spl144_217
| spl144_193 ),
inference(avatar_split_clause,[],[f1089,f2065,f2202,f2633,f1439]) ).
fof(f1089,plain,
( e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2858,plain,
( spl144_53
| ~ spl144_135 ),
inference(avatar_split_clause,[],[f868,f1786,f1425]) ).
fof(f868,plain,
( ~ sP75
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e11 != op1(e11,e10)
& e10 = op1(e11,e11) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f2855,plain,
( spl144_341
| spl144_66
| spl144_183
| spl144_342 ),
inference(avatar_split_clause,[],[f945,f2852,f2012,f1487,f2848]) ).
fof(f945,plain,
( e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2846,plain,
( ~ spl144_56
| ~ spl144_233 ),
inference(avatar_split_clause,[],[f442,f2270,f1439]) ).
fof(f442,plain,
( ~ sP41
| e22 != op2(e22,e20) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e21 = op2(e21,e20)
& e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20) )
| ~ sP41 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2840,plain,
( spl144_339
| spl144_174
| spl144_101
| spl144_340 ),
inference(avatar_split_clause,[],[f1173,f2837,f1650,f1964,f2833]) ).
fof(f1173,plain,
( e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2824,plain,
( ~ spl144_118
| ~ spl144_65 ),
inference(avatar_split_clause,[],[f737,f1482,f1718]) ).
fof(f737,plain,
( e13 != op1(e13,e13)
| ~ sP108 ),
inference(cnf_transformation,[],[f257]) ).
fof(f2817,plain,
( ~ spl144_142
| ~ spl144_190 ),
inference(avatar_split_clause,[],[f798,f2052,f1814]) ).
fof(f798,plain,
( e10 != op1(e13,e13)
| ~ sP93 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( e13 = op1(e13,e10)
& e10 != op1(e13,e13)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP93 ),
inference(nnf_transformation,[],[f115]) ).
fof(f2815,plain,
( spl144_2
| ~ spl144_48 ),
inference(avatar_split_clause,[],[f830,f1403,f1199]) ).
fof(f830,plain,
( ~ sP85
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f280]) ).
fof(f2814,plain,
( ~ spl144_38
| ~ spl144_25
| spl144_209 ),
inference(avatar_split_clause,[],[f900,f2161,f1299,f1360]) ).
fof(f900,plain,
( e13 = op1(e12,e12)
| e12 != op1(e12,e13)
| ~ sP68 ),
inference(cnf_transformation,[],[f297]) ).
fof(f2813,plain,
( ~ spl144_80
| spl144_3 ),
inference(avatar_split_clause,[],[f528,f1204,f1552]) ).
fof(f528,plain,
( e23 = op2(e23,e23)
| ~ sP20 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ~ sP20 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2779,plain,
( ~ spl144_8
| ~ spl144_163 ),
inference(avatar_split_clause,[],[f790,f1911,f1225]) ).
fof(f790,plain,
( e11 != op1(e11,e13)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f2776,plain,
( ~ spl144_5
| ~ spl144_226 ),
inference(avatar_split_clause,[],[f408,f2242,f1212]) ).
fof(f408,plain,
( ~ sP50
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e23,e23)
& e20 = op2(e20,e20)
& e23 = op2(e23,e20) )
| ~ sP50 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2765,plain,
spl144_216,
inference(avatar_split_clause,[],[f2764,f2195]) ).
fof(f2764,plain,
e23 = h2(e13),
inference(backward_demodulation,[],[f1018,f1076]) ).
fof(f2763,plain,
( spl144_85
| ~ spl144_122 ),
inference(avatar_split_clause,[],[f725,f1734,f1574]) ).
fof(f725,plain,
( ~ sP111
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( op1(e10,e10) != e12
& e10 != op1(e10,e12)
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP111 ),
inference(nnf_transformation,[],[f133]) ).
fof(f2741,plain,
( spl144_209
| spl144_276
| spl144_92
| spl144_2 ),
inference(avatar_split_clause,[],[f946,f1199,f1608,f2484,f2161]) ).
fof(f946,plain,
( e11 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2740,plain,
( ~ spl144_107
| spl144_168 ),
inference(avatar_split_clause,[],[f865,f1935,f1674]) ).
fof(f865,plain,
( e11 = op1(e11,e10)
| ~ sP76 ),
inference(cnf_transformation,[],[f289]) ).
fof(f2641,plain,
( spl144_38
| spl144_39
| spl144_307
| spl144_41 ),
inference(avatar_split_clause,[],[f925,f1372,f2638,f1364,f1360]) ).
fof(f925,plain,
( sP67
| e13 = op1(e11,op1(e11,e13))
| sP66
| sP68 ),
inference(cnf_transformation,[],[f154]) ).
fof(f2631,plain,
( spl144_158
| spl144_304
| spl144_305
| spl144_302 ),
inference(avatar_split_clause,[],[f1086,f2608,f2628,f2624,f1887]) ).
fof(f1086,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2616,plain,
( spl144_6
| ~ spl144_59 ),
inference(avatar_split_clause,[],[f589,f1454,f1216]) ).
fof(f589,plain,
( ~ sP5
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 != op2(e23,e22) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f2594,plain,
( ~ spl144_298
| ~ spl144_299 ),
inference(avatar_split_clause,[],[f984,f2591,f2587]) ).
fof(f984,plain,
( ~ sP135
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12) )
| ~ sP135 ),
inference(nnf_transformation,[],[f158]) ).
fof(f2585,plain,
( spl144_79
| ~ spl144_224 ),
inference(avatar_split_clause,[],[f474,f2234,f1547]) ).
fof(f474,plain,
( ~ sP33
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP33 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2584,plain,
( spl144_297
| ~ spl144_16 ),
inference(avatar_split_clause,[],[f350,f1261,f2581]) ).
fof(f350,plain,
( ~ sP63
| e20 = op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f2497,plain,
( ~ spl144_238
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f424,f1509,f2290]) ).
fof(f424,plain,
( e20 != op2(e20,e21)
| ~ sP46 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( op2(e20,e20) = e21
& e20 != op2(e20,e21)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21 )
| ~ sP46 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2490,plain,
( ~ spl144_98
| spl144_276 ),
inference(avatar_split_clause,[],[f851,f2484,f1637]) ).
fof(f851,plain,
( e12 = op1(e12,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f285]) ).
fof(f2470,plain,
( ~ spl144_113
| spl144_36 ),
inference(avatar_split_clause,[],[f876,f1350,f1698]) ).
fof(f876,plain,
( e11 = op1(e13,e13)
| ~ sP73 ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e10,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ~ sP73 ),
inference(nnf_transformation,[],[f95]) ).
fof(f2469,plain,
( spl144_22
| spl144_272
| spl144_27
| spl144_273 ),
inference(avatar_split_clause,[],[f316,f2466,f1308,f2462,f1286]) ).
fof(f316,plain,
( e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e20 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2460,plain,
( ~ spl144_88
| spl144_86 ),
inference(avatar_split_clause,[],[f517,f1579,f1588]) ).
fof(f517,plain,
( e23 = op2(e21,e21)
| ~ sP23 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e23 = op2(e21,e21)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& e21 != op2(e21,e23) )
| ~ sP23 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2459,plain,
( ~ spl144_26
| spl144_3 ),
inference(avatar_split_clause,[],[f471,f1204,f1304]) ).
fof(f471,plain,
( e23 = op2(e23,e23)
| ~ sP34 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e22 = op2(e22,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ~ sP34 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2369,plain,
( spl144_247
| spl144_49
| spl144_250
| spl144_53 ),
inference(avatar_split_clause,[],[f1190,f1425,f2366,f1407,f2347]) ).
fof(f1190,plain,
( e10 = op1(e11,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2363,plain,
( ~ spl144_77
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f458,f2298,f1538]) ).
fof(f458,plain,
( ~ sP37
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e20 = op2(e23,e23)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 != op2(e22,e22) )
| ~ sP37 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2362,plain,
( spl144_182
| ~ spl144_243 ),
inference(avatar_split_clause,[],[f506,f2310,f2007]) ).
fof(f506,plain,
( ~ sP25
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP25 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2342,plain,
( spl144_86
| ~ spl144_242 ),
inference(avatar_split_clause,[],[f550,f2306,f1579]) ).
fof(f550,plain,
( ~ sP14
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e21 != op2(e21,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21)
& e23 = op2(e21,e21) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2324,plain,
( spl144_60
| ~ spl144_155 ),
inference(avatar_split_clause,[],[f488,f1874,f1458]) ).
fof(f488,plain,
( ~ sP30
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22) )
| ~ sP30 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2322,plain,
( ~ spl144_49
| ~ spl144_139 ),
inference(avatar_split_clause,[],[f703,f1802,f1407]) ).
fof(f703,plain,
( ~ sP117
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e10 != op1(e10,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& op1(e10,e10) = e11 )
| ~ sP117 ),
inference(nnf_transformation,[],[f139]) ).
fof(f2316,plain,
( ~ spl144_28
| spl144_159 ),
inference(avatar_split_clause,[],[f384,f1892,f1313]) ).
fof(f384,plain,
( e22 = op2(e22,e21)
| ~ sP56 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 = op2(e22,e22) )
| ~ sP56 ),
inference(nnf_transformation,[],[f77]) ).
fof(f2315,plain,
spl144_52,
inference(avatar_split_clause,[],[f1111,f1421]) ).
fof(f1111,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f2208,plain,
( ~ spl144_32
| spl144_85 ),
inference(avatar_split_clause,[],[f651,f1574,f1331]) ).
fof(f651,plain,
( e10 = op1(e10,e12)
| ~ sP130 ),
inference(cnf_transformation,[],[f235]) ).
fof(f2200,plain,
( ~ spl144_173
| ~ spl144_125 ),
inference(avatar_split_clause,[],[f682,f1746,f1960]) ).
fof(f682,plain,
( ~ sP122
| e13 != op1(e13,e10) ),
inference(cnf_transformation,[],[f243]) ).
fof(f2198,plain,
( ~ spl144_166
| ~ spl144_216 ),
inference(avatar_split_clause,[],[f977,f2195,f1924]) ).
fof(f977,plain,
( e23 != h2(e13)
| ~ sP137 ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
( ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e11) )
| ~ sP137 ),
inference(nnf_transformation,[],[f160]) ).
fof(f2184,plain,
( spl144_149
| spl144_31
| spl144_213
| spl144_175 ),
inference(avatar_split_clause,[],[f1162,f1968,f2181,f1327,f1844]) ).
fof(f1162,plain,
( e12 = op1(e13,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2164,plain,
( ~ spl144_136
| spl144_209 ),
inference(avatar_split_clause,[],[f675,f2161,f1790]) ).
fof(f675,plain,
( e13 = op1(e12,e12)
| ~ sP124 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP124 ),
inference(nnf_transformation,[],[f146]) ).
fof(f2141,plain,
( ~ spl144_205
| spl144_79 ),
inference(avatar_split_clause,[],[f439,f1547,f2138]) ).
fof(f439,plain,
( e20 = op2(e20,e22)
| ~ sP42 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( op2(e20,e20) = e22
& e20 != op2(e20,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP42 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2135,plain,
( spl144_202
| spl144_29
| spl144_203
| spl144_204 ),
inference(avatar_split_clause,[],[f320,f2132,f2128,f1318,f2124]) ).
fof(f320,plain,
( e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2105,plain,
( ~ spl144_187
| spl144_47 ),
inference(avatar_split_clause,[],[f484,f1398,f2035]) ).
fof(f484,plain,
( e20 = op2(e20,e20)
| ~ sP31 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ~ sP31 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2102,plain,
( ~ spl144_115
| spl144_153 ),
inference(avatar_split_clause,[],[f761,f1862,f1706]) ).
fof(f761,plain,
( op1(e10,e10) = e13
| ~ sP102 ),
inference(cnf_transformation,[],[f263]) ).
fof(f2095,plain,
( spl144_92
| ~ spl144_107 ),
inference(avatar_split_clause,[],[f864,f1674,f1608]) ).
fof(f864,plain,
( ~ sP76
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f289]) ).
fof(f2094,plain,
( spl144_196
| ~ spl144_121 ),
inference(avatar_split_clause,[],[f747,f1730,f2080]) ).
fof(f747,plain,
( ~ sP106
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12) )
| ~ sP106 ),
inference(nnf_transformation,[],[f128]) ).
fof(f2091,plain,
( ~ spl144_197
| ~ spl144_5 ),
inference(avatar_split_clause,[],[f571,f1212,f2088]) ).
fof(f571,plain,
( e20 != op2(e23,e23)
| ~ sP9 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e23 != op2(e23,e20)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23)
& e20 = op2(e23,e23) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f2085,plain,
( ~ spl144_117
| spl144_43 ),
inference(avatar_split_clause,[],[f697,f1381,f1714]) ).
fof(f697,plain,
( e11 = op1(e11,e11)
| ~ sP118 ),
inference(cnf_transformation,[],[f247]) ).
fof(f2084,plain,
( ~ spl144_132
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f778,f1421,f1774]) ).
fof(f778,plain,
( e12 != op1(e11,e11)
| ~ sP98 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ~ sP98 ),
inference(nnf_transformation,[],[f120]) ).
fof(f2033,plain,
( spl144_169
| ~ spl144_186 ),
inference(avatar_split_clause,[],[f387,f2030,f1940]) ).
fof(f387,plain,
( ~ sP55
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP55 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2015,plain,
( ~ spl144_145
| spl144_183 ),
inference(avatar_split_clause,[],[f892,f2012,f1826]) ).
fof(f892,plain,
( e10 = op1(e10,e13)
| ~ sP69 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( ( op1(e10,e10) != e13
& op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e10 = op1(e10,e13) )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f1993,plain,
( ~ spl144_119
| spl144_25 ),
inference(avatar_split_clause,[],[f806,f1299,f1722]) ).
fof(f806,plain,
( e12 = op1(e12,e13)
| ~ sP91 ),
inference(cnf_transformation,[],[f274]) ).
fof(f1971,plain,
( spl144_172
| spl144_173
| spl144_174
| spl144_175 ),
inference(avatar_split_clause,[],[f947,f1968,f1964,f1960,f1956]) ).
fof(f947,plain,
( e12 = op1(e13,e10)
| e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1938,plain,
( ~ spl144_41
| spl144_53
| ~ spl144_168 ),
inference(avatar_split_clause,[],[f910,f1935,f1425,f1372]) ).
fof(f910,plain,
( e11 != op1(e11,e10)
| e10 = op1(e11,e11)
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f1918,plain,
( spl144_161
| spl144_162
| spl144_163
| spl144_164 ),
inference(avatar_split_clause,[],[f939,f1915,f1911,f1907,f1903]) ).
fof(f939,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1900,plain,
( ~ spl144_160
| spl144_6 ),
inference(avatar_split_clause,[],[f554,f1216,f1897]) ).
fof(f554,plain,
( e22 = op2(e23,e23)
| ~ sP13 ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1895,plain,
( ~ spl144_96
| spl144_159 ),
inference(avatar_split_clause,[],[f601,f1892,f1626]) ).
fof(f601,plain,
( e22 = op2(e22,e21)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e22 = op2(e22,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1890,plain,
( spl144_156
| spl144_157
| spl144_71
| spl144_158 ),
inference(avatar_split_clause,[],[f1087,f1887,f1509,f1883,f1879]) ).
fof(f1087,plain,
( e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1871,plain,
( ~ spl144_99
| spl144_154 ),
inference(avatar_split_clause,[],[f758,f1868,f1642]) ).
fof(f758,plain,
( e12 = op1(e12,e11)
| ~ sP103 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e11 != op1(e12,e12)
& e12 = op1(e12,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP103 ),
inference(nnf_transformation,[],[f125]) ).
fof(f1866,plain,
( ~ spl144_127
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f887,f1421,f1754]) ).
fof(f887,plain,
( e12 != op1(e11,e11)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e12 != op1(e11,e11)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f1847,plain,
( spl144_149
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f854,f1670,f1844]) ).
fof(f854,plain,
( ~ sP79
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1635,plain,
( ~ spl144_50
| ~ spl144_97 ),
inference(avatar_split_clause,[],[f714,f1632,f1412]) ).
fof(f714,plain,
( ~ sP114
| e11 != op1(e11,e12) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1606,plain,
( spl144_53
| ~ spl144_91 ),
inference(avatar_split_clause,[],[f764,f1603,f1425]) ).
fof(f764,plain,
( ~ sP101
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e11 != op1(e11,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11) )
| ~ sP101 ),
inference(nnf_transformation,[],[f123]) ).
fof(f1498,plain,
( spl144_66
| spl144_67
| spl144_31
| spl144_68 ),
inference(avatar_split_clause,[],[f1172,f1495,f1327,f1491,f1487]) ).
fof(f1172,plain,
( e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1452,plain,
( spl144_29
| ~ spl144_30 ),
inference(avatar_split_clause,[],[f520,f1322,f1318]) ).
fof(f520,plain,
( ~ sP22
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( op2(e20,e20) != e23
& e20 = op2(e20,e23)
& e20 != op2(e20,e23)
& op2(e20,e20) = e23 )
| ~ sP22 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1401,plain,
( ~ spl144_46
| spl144_47 ),
inference(avatar_split_clause,[],[f418,f1398,f1394]) ).
fof(f418,plain,
( e20 = op2(e20,e20)
| ~ sP47 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e20 = op2(e20,e20) )
| ~ sP47 ),
inference(nnf_transformation,[],[f68]) ).
fof(f1375,plain,
( spl144_38
| spl144_39
| spl144_40
| spl144_41 ),
inference(avatar_split_clause,[],[f921,f1372,f1368,f1364,f1360]) ).
fof(f921,plain,
( sP67
| e11 = op1(e11,op1(e11,e11))
| sP66
| sP68 ),
inference(cnf_transformation,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG102+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 14:52:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.40/0.58 % (20447)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.40/0.59 % (20454)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.40/0.59 % (20438)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.59 % (20439)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.59 % (20439)Instruction limit reached!
% 1.40/0.59 % (20439)------------------------------
% 1.40/0.59 % (20439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (20446)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.40/0.60 % (20455)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.60 % (20439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (20439)Termination reason: Unknown
% 1.40/0.60 % (20439)Termination phase: Preprocessing 3
% 1.40/0.60
% 1.40/0.60 % (20439)Memory used [KB]: 1279
% 1.40/0.60 % (20439)Time elapsed: 0.007 s
% 1.40/0.60 % (20439)Instructions burned: 8 (million)
% 1.40/0.60 % (20439)------------------------------
% 1.40/0.60 % (20439)------------------------------
% 1.40/0.62 % (20432)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.40/0.63 % (20456)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.63 % (20448)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.64 % (20440)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.64 % (20440)Instruction limit reached!
% 1.96/0.64 % (20440)------------------------------
% 1.96/0.64 % (20440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (20440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (20440)Termination reason: Unknown
% 1.96/0.64 % (20440)Termination phase: shuffling
% 1.96/0.64
% 1.96/0.64 % (20440)Memory used [KB]: 1023
% 1.96/0.64 % (20440)Time elapsed: 0.003 s
% 1.96/0.64 % (20440)Instructions burned: 2 (million)
% 1.96/0.64 % (20440)------------------------------
% 1.96/0.64 % (20440)------------------------------
% 1.96/0.64 % (20445)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.64 % (20449)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.96/0.64 % (20437)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.96/0.64 % (20436)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.64 % (20435)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.65 % (20441)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.65 % (20453)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.96/0.65 % (20457)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.96/0.65 % (20451)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.65 % (20452)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.96/0.65 % (20459)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.96/0.66 % (20443)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.66 % (20434)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.96/0.66 % (20460)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.96/0.66 % (20444)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.96/0.66 % (20461)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.96/0.66 % (20458)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.96/0.67 % (20442)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.67 % (20438)Instruction limit reached!
% 1.96/0.67 % (20438)------------------------------
% 1.96/0.67 % (20438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67 % (20438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67 % (20438)Termination reason: Unknown
% 1.96/0.67 % (20438)Termination phase: Finite model building preprocessing
% 1.96/0.67
% 1.96/0.67 % (20438)Memory used [KB]: 2558
% 1.96/0.67 % (20438)Time elapsed: 0.033 s
% 1.96/0.67 % (20438)Instructions burned: 51 (million)
% 1.96/0.67 % (20438)------------------------------
% 1.96/0.67 % (20438)------------------------------
% 2.22/0.68 % (20433)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)
% 2.22/0.68 % (20450)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.22/0.71 % (20446)Instruction limit reached!
% 2.22/0.71 % (20446)------------------------------
% 2.22/0.71 % (20446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.71 % (20446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.72 % (20446)Termination reason: Unknown
% 2.22/0.72 % (20446)Termination phase: Saturation
% 2.22/0.72
% 2.22/0.72 % (20446)Memory used [KB]: 7419
% 2.22/0.72 % (20446)Time elapsed: 0.058 s
% 2.22/0.72 % (20446)Instructions burned: 68 (million)
% 2.22/0.72 % (20446)------------------------------
% 2.22/0.72 % (20446)------------------------------
% 2.63/0.74 % (20436)Instruction limit reached!
% 2.63/0.74 % (20436)------------------------------
% 2.63/0.74 % (20436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (20436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (20436)Termination reason: Unknown
% 2.63/0.74 % (20436)Termination phase: Saturation
% 2.63/0.74
% 2.63/0.74 % (20436)Memory used [KB]: 6780
% 2.63/0.74 % (20436)Time elapsed: 0.034 s
% 2.63/0.74 % (20436)Instructions burned: 51 (million)
% 2.63/0.74 % (20436)------------------------------
% 2.63/0.74 % (20436)------------------------------
% 2.63/0.74 % (20435)Instruction limit reached!
% 2.63/0.74 % (20435)------------------------------
% 2.63/0.74 % (20435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (20435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (20435)Termination reason: Unknown
% 2.63/0.74 % (20435)Termination phase: 20435 Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.63/0.74 % (20435)------------------------------
% 2.63/0.74 % (20435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (20435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (20435)Termination reason: Unknown
% 2.63/0.74 % (20447)Instruction limit reached!
% 2.63/0.74 % (20447)------------------------------
% 2.63/0.74 % (20447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (20447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (20447)Termination reason: Unknown
% 2.63/0.74 % (20447)Termination phase: Saturation
% 2.63/0.74
% 2.63/0.74 % (20447)Memory used [KB]: 2046
% 2.63/0.74 % (20447)Time elapsed: 0.071 s
% 2.63/0.74 % (20447)Instructions burned: 75 (million)
% 2.63/0.74 % (20447)------------------------------
% 2.63/0.74 % (20447)------------------------------
% 2.63/0.75 % (20434)Instruction limit reached!
% 2.63/0.75 % (20434)------------------------------
% 2.63/0.75 % (20434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.75 % (20434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.75 % (20434)Termination reason: Unknown
% 2.63/0.75 % (20434)Termination phase: Saturation
% 2.63/0.75
% 2.63/0.75 % (20434)Memory used [KB]: 1663
% 2.63/0.75 % (20434)Time elapsed: 0.028 s
% 2.63/0.75 % (20434)Instructions burned: 37 (million)
% 2.63/0.75 % (20434)------------------------------
% 2.63/0.75 % (20434)------------------------------
% 2.83/0.76 % (20437)Instruction limit reached!
% 2.83/0.76 % (20437)------------------------------
% 2.83/0.76 % (20437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.76 % (20437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.76 % (20437)Termination reason: Unknown
% 2.83/0.76 % (20437)Termination phase: Saturation
% 2.83/0.76
% 2.83/0.76 % (20437)Memory used [KB]: 7675
% 2.83/0.76 % (20437)Time elapsed: 0.280 s
% 2.83/0.76 % (20437)Instructions burned: 48 (million)
% 2.83/0.76 % (20437)------------------------------
% 2.83/0.76 % (20437)------------------------------
% 2.83/0.78 % (20441)Instruction limit reached!
% 2.83/0.78 % (20441)------------------------------
% 2.83/0.78 % (20441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.78 % (20441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.78 % (20441)Termination reason: Unknown
% 2.83/0.78 % (20441)Termination phase: Saturation
% 2.83/0.78
% 2.83/0.78 % (20441)Memory used [KB]: 1791
% 2.83/0.78 % (20441)Time elapsed: 0.038 s
% 2.83/0.78 % (20441)Instructions burned: 52 (million)
% 2.83/0.78 % (20441)------------------------------
% 2.83/0.78 % (20441)------------------------------
% 2.83/0.79 % (20433)Instruction limit reached!
% 2.83/0.79 % (20433)------------------------------
% 2.83/0.79 % (20433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.79 % (20433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.79 % (20433)Termination reason: Unknown
% 2.83/0.79 % (20433)Termination phase: Saturation
% 2.83/0.79
% 2.83/0.79 % (20433)Memory used [KB]: 7419
% 2.83/0.79 % (20433)Time elapsed: 0.038 s
% 2.83/0.79 % (20433)Instructions burned: 50 (million)
% 2.83/0.79 % (20433)------------------------------
% 2.83/0.79 % (20433)------------------------------
% 2.83/0.80 % (20449)Instruction limit reached!
% 2.83/0.80 % (20449)------------------------------
% 2.83/0.80 % (20449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.80 % (20449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.80 % (20449)Termination reason: Unknown
% 2.83/0.80 % (20449)Termination phase: Blocked clause elimination
% 2.83/0.80
% 2.83/0.80 % (20449)Memory used [KB]: 1535
% 2.83/0.80 % (20449)Time elapsed: 0.048 s
% 2.83/0.80 % (20449)Instructions burned: 60 (million)
% 2.83/0.80 % (20449)------------------------------
% 2.83/0.80 % (20449)------------------------------
% 2.83/0.80 % (20442)Instruction limit reached!
% 2.83/0.80 % (20442)------------------------------
% 2.83/0.80 % (20442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.80 % (20442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.80 % (20442)Termination reason: Unknown
% 2.83/0.80 % (20442)Termination phase: Saturation
% 2.83/0.80
% 2.83/0.80 % (20442)Memory used [KB]: 7291
% 2.83/0.80 % (20442)Time elapsed: 0.037 s
% 2.83/0.80 % (20442)Instructions burned: 51 (million)
% 2.83/0.80 % (20442)------------------------------
% 2.83/0.80 % (20442)------------------------------
% 2.83/0.82 % (20470)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.83/0.82 % (20448)Instruction limit reached!
% 2.83/0.82 % (20448)------------------------------
% 2.83/0.82 % (20448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.82 % (20448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.82 % (20448)Termination reason: Unknown
% 2.83/0.82 % (20448)Termination phase: Saturation
% 2.83/0.82
% 2.83/0.82 % (20448)Memory used [KB]: 7931
% 2.83/0.82 % (20448)Time elapsed: 0.350 s
% 2.83/0.82 % (20448)Instructions burned: 99 (million)
% 2.83/0.82 % (20448)------------------------------
% 2.83/0.82 % (20448)------------------------------
% 3.29/0.85 % (20445)Instruction limit reached!
% 3.29/0.85 % (20445)------------------------------
% 3.29/0.85 % (20445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.85 % (20445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.85 % (20445)Termination reason: Unknown
% 3.29/0.85 % (20445)Termination phase: Saturation
% 3.29/0.85
% 3.29/0.85 % (20445)Memory used [KB]: 8187
% 3.29/0.85 % (20445)Time elapsed: 0.393 s
% 3.29/0.85 % (20445)Instructions burned: 99 (million)
% 3.29/0.85 % (20445)------------------------------
% 3.29/0.85 % (20445)------------------------------
% 3.29/0.85 % (20458)Instruction limit reached!
% 3.29/0.85 % (20458)------------------------------
% 3.29/0.85 % (20458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.85 % (20458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.85 % (20458)Termination reason: Unknown
% 3.29/0.85 % (20458)Termination phase: Saturation
% 3.29/0.85
% 3.29/0.85 % (20458)Memory used [KB]: 7419
% 3.29/0.85 % (20458)Time elapsed: 0.051 s
% 3.29/0.85 % (20458)Instructions burned: 68 (million)
% 3.29/0.85 % (20458)------------------------------
% 3.29/0.85 % (20458)------------------------------
% 3.29/0.85 % (20444)Instruction limit reached!
% 3.29/0.85 % (20444)------------------------------
% 3.29/0.85 % (20444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.85 % (20444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.85 % (20444)Termination reason: Unknown
% 3.29/0.85 % (20444)Termination phase: Saturation
% 3.29/0.85
% 3.29/0.85 % (20444)Memory used [KB]: 8315
% 3.29/0.85 % (20444)Time elapsed: 0.401 s
% 3.29/0.85 % (20444)Instructions burned: 101 (million)
% 3.29/0.85 % (20444)------------------------------
% 3.29/0.85 % (20444)------------------------------
% 3.29/0.86 % (20443)Instruction limit reached!
% 3.29/0.86 % (20443)------------------------------
% 3.29/0.86 % (20443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.86 % (20443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.86 % (20443)Termination reason: Unknown
% 3.29/0.86 % (20443)Termination phase: Saturation
% 3.29/0.86
% 3.29/0.86 % (20443)Memory used [KB]: 7931
% 3.29/0.86 % (20443)Time elapsed: 0.063 s
% 3.29/0.86 % (20443)Instructions burned: 100 (million)
% 3.29/0.86 % (20443)------------------------------
% 3.29/0.86 % (20443)------------------------------
% 3.53/0.88 % (20464)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)
% 3.53/0.89 % (20451)Instruction limit reached!
% 3.53/0.89 % (20451)------------------------------
% 3.53/0.89 % (20451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.89 % (20451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.89 % (20451)Termination reason: Unknown
% 3.53/0.89 % (20451)Termination phase: Saturation
% 3.53/0.89
% 3.53/0.89 % (20451)Memory used [KB]: 1918
% 3.53/0.89 % (20451)Time elapsed: 0.436 s
% 3.53/0.89 % (20451)Instructions burned: 101 (million)
% 3.53/0.89 % (20451)------------------------------
% 3.53/0.89 % (20451)------------------------------
% 3.53/0.90 TRYING [8]
% 3.53/0.91 % (20453)First to succeed.
% 3.53/0.92 % (20470)Instruction limit reached!
% 3.53/0.92 % (20470)------------------------------
% 3.53/0.92 % (20470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.92 % (20470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.92 % (20470)Termination reason: Unknown
% 3.53/0.92 % (20470)Termination phase: Saturation
% 3.53/0.92
% 3.53/0.92 % (20470)Memory used [KB]: 7803
% 3.53/0.92 % (20470)Time elapsed: 0.135 s
% 3.53/0.92 % (20470)Instructions burned: 90 (million)
% 3.53/0.92 % (20470)------------------------------
% 3.53/0.92 % (20470)------------------------------
% 3.93/0.95 % (20469)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)
% 3.93/0.95 % (20450)Instruction limit reached!
% 3.93/0.95 % (20450)------------------------------
% 3.93/0.95 % (20450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/0.95 % (20450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/0.95 % (20450)Termination reason: Unknown
% 3.93/0.95 % (20450)Termination phase: Saturation
% 3.93/0.95
% 3.93/0.95 % (20450)Memory used [KB]: 8315
% 3.93/0.95 % (20450)Time elapsed: 0.078 s
% 3.93/0.95 % (20450)Instructions burned: 100 (million)
% 3.93/0.95 % (20450)------------------------------
% 3.93/0.95 % (20450)------------------------------
% 4.06/0.99 % (20455)Also succeeded, but the first one will report.
% 4.06/0.99 % (20452)Also succeeded, but the first one will report.
% 4.06/0.99 % (20453)Refutation found. Thanks to Tanya!
% 4.06/0.99 % SZS status Theorem for theBenchmark
% 4.06/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.00 % (20453)------------------------------
% 4.06/1.00 % (20453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.00 % (20453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.00 % (20453)Termination reason: Refutation
% 4.06/1.00
% 4.06/1.00 % (20453)Memory used [KB]: 9083
% 4.06/1.00 % (20453)Time elapsed: 0.119 s
% 4.06/1.00 % (20453)Instructions burned: 121 (million)
% 4.06/1.00 % (20453)------------------------------
% 4.06/1.00 % (20453)------------------------------
% 4.06/1.00 % (20431)Success in time 0.638 s
%------------------------------------------------------------------------------