TSTP Solution File: ALG118+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG118+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 : n029.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 15:42:50 EDT 2022
% Result : Theorem 2.75s 0.90s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 309
% Syntax : Number of formulae : 1015 ( 118 unt; 0 def)
% Number of atoms : 4624 (2985 equ)
% Maximal formula atoms : 288 ( 4 avg)
% Number of connectives : 5288 (1679 ~;2132 |;1329 &)
% ( 148 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 294 ( 292 usr; 293 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6778,plain,
$false,
inference(avatar_sat_refutation,[],[f1415,f1428,f1551,f1760,f1831,f1888,f2475,f2497,f2530,f2591,f2600,f2625,f2638,f2648,f2654,f2693,f2799,f2836,f2856,f2875,f2888,f2900,f2913,f3098,f3127,f3157,f3206,f3226,f3275,f3314,f3362,f3374,f3411,f3426,f3436,f3443,f3446,f3470,f3488,f3506,f3509,f3515,f3518,f3519,f3533,f3573,f3576,f3578,f3590,f3600,f3618,f3661,f3720,f3738,f3740,f3751,f3766,f3826,f3850,f3851,f3879,f3891,f3892,f3893,f3894,f3898,f3906,f3912,f3913,f3914,f3915,f3916,f3951,f3952,f3963,f3964,f3965,f3968,f3980,f3994,f4001,f4009,f4047,f4091,f4102,f4107,f4112,f4135,f4137,f4141,f4167,f4207,f4220,f4223,f4233,f4259,f4293,f4316,f4326,f4328,f4343,f4345,f4349,f4364,f4411,f4433,f4463,f4489,f4497,f4522,f4544,f4564,f4566,f4570,f4573,f4576,f4688,f4742,f4758,f4772,f4821,f4844,f4928,f4938,f4978,f4981,f4983,f4985,f5004,f5009,f5101,f5110,f5178,f5185,f5195,f5203,f5223,f5229,f5242,f5266,f5327,f5332,f5355,f5361,f5364,f5368,f5414,f5524,f5554,f5605,f5614,f5661,f5715,f5759,f5777,f5805,f5889,f5922,f5943,f6008,f6045,f6086,f6119,f6269,f6316,f6442,f6459,f6506,f6508,f6598,f6629,f6643,f6660,f6704,f6763]) ).
fof(f6763,plain,
( ~ spl144_157
| ~ spl144_158 ),
inference(avatar_split_clause,[],[f4209,f1865,f1861]) ).
fof(f1861,plain,
( spl144_157
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_157])]) ).
fof(f1865,plain,
( spl144_158
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_158])]) ).
fof(f4209,plain,
( e22 != op2(e21,e20)
| ~ spl144_158 ),
inference(forward_demodulation,[],[f841,f1867]) ).
fof(f1867,plain,
( e22 = op2(e23,e20)
| ~ spl144_158 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f841,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e21) != op2(e21,e21)
& op2(e23,e22) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e23,e21) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e21) != op2(e22,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f6704,plain,
( ~ spl144_68
| spl144_347 ),
inference(avatar_contradiction_clause,[],[f6703]) ).
fof(f6703,plain,
( $false
| ~ spl144_68
| spl144_347 ),
inference(subsumption_resolution,[],[f6690,f1463]) ).
fof(f1463,plain,
( e13 = op1(e12,e13)
| ~ spl144_68 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1461,plain,
( spl144_68
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_68])]) ).
fof(f6690,plain,
( e13 != op1(e12,e13)
| ~ spl144_68
| spl144_347 ),
inference(backward_demodulation,[],[f2794,f1463]) ).
fof(f2794,plain,
( e13 != op1(e12,op1(e12,e13))
| spl144_347 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f2792,plain,
( spl144_347
<=> e13 = op1(e12,op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_347])]) ).
fof(f6660,plain,
( ~ spl144_59
| ~ spl144_272 ),
inference(avatar_split_clause,[],[f4679,f2370,f1421]) ).
fof(f1421,plain,
( spl144_59
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_59])]) ).
fof(f2370,plain,
( spl144_272
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_272])]) ).
fof(f4679,plain,
( e12 != op1(e12,e10)
| ~ spl144_272 ),
inference(forward_demodulation,[],[f861,f2372]) ).
fof(f2372,plain,
( e12 = op1(e13,e10)
| ~ spl144_272 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f861,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e11) != op1(e12,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e13) != op1(e11,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6643,plain,
( ~ spl144_90
| ~ spl144_152 ),
inference(avatar_contradiction_clause,[],[f6642]) ).
fof(f6642,plain,
( $false
| ~ spl144_90
| ~ spl144_152 ),
inference(subsumption_resolution,[],[f6641,f795]) ).
fof(f795,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e10 != e11
& e11 != e12
& e11 != e13
& e12 != e13
& e10 != e13
& e10 != e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f6641,plain,
( e11 = e13
| ~ spl144_90
| ~ spl144_152 ),
inference(forward_demodulation,[],[f1564,f1839]) ).
fof(f1839,plain,
( e13 = op1(e11,e13)
| ~ spl144_152 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f1837,plain,
( spl144_152
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f1564,plain,
( e11 = op1(e11,e13)
| ~ spl144_90 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1562,plain,
( spl144_90
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_90])]) ).
fof(f6629,plain,
( ~ spl144_84
| ~ spl144_85 ),
inference(avatar_contradiction_clause,[],[f6628]) ).
fof(f6628,plain,
( $false
| ~ spl144_84
| ~ spl144_85 ),
inference(subsumption_resolution,[],[f6627,f698]) ).
fof(f698,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e23
& e20 != e22
& e21 != e23
& e21 != e22
& e20 != e21
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f6627,plain,
( e21 = e23
| ~ spl144_84
| ~ spl144_85 ),
inference(forward_demodulation,[],[f1538,f1542]) ).
fof(f1542,plain,
( e21 = op2(e21,e22)
| ~ spl144_85 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1540,plain,
( spl144_85
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_85])]) ).
fof(f1538,plain,
( e23 = op2(e21,e22)
| ~ spl144_84 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl144_84
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_84])]) ).
fof(f6598,plain,
( ~ spl144_221
| ~ spl144_404 ),
inference(avatar_contradiction_clause,[],[f6597]) ).
fof(f6597,plain,
( $false
| ~ spl144_221
| ~ spl144_404 ),
inference(subsumption_resolution,[],[f6596,f698]) ).
fof(f6596,plain,
( e21 = e23
| ~ spl144_221
| ~ spl144_404 ),
inference(forward_demodulation,[],[f2145,f3344]) ).
fof(f3344,plain,
( e21 = op2(e22,e20)
| ~ spl144_404 ),
inference(avatar_component_clause,[],[f3342]) ).
fof(f3342,plain,
( spl144_404
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_404])]) ).
fof(f2145,plain,
( e23 = op2(e22,e20)
| ~ spl144_221 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2143,plain,
( spl144_221
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f6508,plain,
( ~ spl144_58
| spl144_435 ),
inference(avatar_contradiction_clause,[],[f6507]) ).
fof(f6507,plain,
( $false
| ~ spl144_58
| spl144_435 ),
inference(subsumption_resolution,[],[f6501,f1419]) ).
fof(f1419,plain,
( e10 = op1(e10,e10)
| ~ spl144_58 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1417,plain,
( spl144_58
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_58])]) ).
fof(f6501,plain,
( e10 != op1(e10,e10)
| ~ spl144_58
| spl144_435 ),
inference(backward_demodulation,[],[f3737,f1419]) ).
fof(f3737,plain,
( e10 != op1(e10,op1(e10,e10))
| spl144_435 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f3735,plain,
( spl144_435
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_435])]) ).
fof(f6506,plain,
( ~ spl144_79
| ~ spl144_58 ),
inference(avatar_split_clause,[],[f6505,f1417,f1513]) ).
fof(f1513,plain,
( spl144_79
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_79])]) ).
fof(f6505,plain,
( e10 != op1(e10,e12)
| ~ spl144_58 ),
inference(backward_demodulation,[],[f850,f1419]) ).
fof(f850,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f6459,plain,
( ~ spl144_129
| ~ spl144_2 ),
inference(avatar_split_clause,[],[f6438,f1175,f1729]) ).
fof(f1729,plain,
( spl144_129
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_129])]) ).
fof(f1175,plain,
( spl144_2
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_2])]) ).
fof(f6438,plain,
( op1(e10,e10) != e11
| ~ spl144_2 ),
inference(forward_demodulation,[],[f848,f1177]) ).
fof(f1177,plain,
( e11 = op1(e11,e10)
| ~ spl144_2 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f848,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f6442,plain,
( ~ spl144_316
| ~ spl144_85 ),
inference(avatar_split_clause,[],[f5397,f1540,f2617]) ).
fof(f2617,plain,
( spl144_316
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f5397,plain,
( e21 != op2(e21,e20)
| ~ spl144_85 ),
inference(forward_demodulation,[],[f839,f1542]) ).
fof(f839,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6316,plain,
( ~ spl144_134
| ~ spl144_27 ),
inference(avatar_split_clause,[],[f6309,f1278,f1752]) ).
fof(f1752,plain,
( spl144_134
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_134])]) ).
fof(f1278,plain,
( spl144_27
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_27])]) ).
fof(f6309,plain,
( e13 != op1(e13,e13)
| ~ spl144_27 ),
inference(backward_demodulation,[],[f877,f1280]) ).
fof(f1280,plain,
( e13 = op1(e13,e12)
| ~ spl144_27 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f877,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6269,plain,
( ~ spl144_275
| spl144_423 ),
inference(avatar_contradiction_clause,[],[f6268]) ).
fof(f6268,plain,
( $false
| ~ spl144_275
| spl144_423 ),
inference(subsumption_resolution,[],[f6264,f2399]) ).
fof(f2399,plain,
( e12 = op1(e11,e12)
| ~ spl144_275 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f2397,plain,
( spl144_275
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_275])]) ).
fof(f6264,plain,
( e12 != op1(e11,e12)
| ~ spl144_275
| spl144_423 ),
inference(backward_demodulation,[],[f3572,f2399]) ).
fof(f3572,plain,
( e12 != op1(e11,op1(e11,e12))
| spl144_423 ),
inference(avatar_component_clause,[],[f3570]) ).
fof(f3570,plain,
( spl144_423
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_423])]) ).
fof(f6119,plain,
( ~ spl144_58
| ~ spl144_150 ),
inference(avatar_split_clause,[],[f6118,f1828,f1417]) ).
fof(f1828,plain,
( spl144_150
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_150])]) ).
fof(f6118,plain,
( e10 != op1(e10,e10)
| ~ spl144_150 ),
inference(forward_demodulation,[],[f854,f1830]) ).
fof(f1830,plain,
( e10 = op1(e12,e10)
| ~ spl144_150 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f854,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f6086,plain,
( ~ spl144_111
| ~ spl144_278
| spl144_293
| ~ spl144_349
| ~ spl144_368 ),
inference(avatar_contradiction_clause,[],[f6085]) ).
fof(f6085,plain,
( $false
| ~ spl144_111
| ~ spl144_278
| spl144_293
| ~ spl144_349
| ~ spl144_368 ),
inference(subsumption_resolution,[],[f6084,f2964]) ).
fof(f2964,plain,
( e23 = op2(e20,e21)
| ~ spl144_368 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2962,plain,
( spl144_368
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_368])]) ).
fof(f6084,plain,
( e23 != op2(e20,e21)
| ~ spl144_111
| ~ spl144_278
| spl144_293
| ~ spl144_349 ),
inference(forward_demodulation,[],[f6083,f2413]) ).
fof(f2413,plain,
( e23 = h2(e13)
| ~ spl144_278 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f2412,plain,
( spl144_278
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_278])]) ).
fof(f6083,plain,
( op2(e20,e21) != h2(e13)
| ~ spl144_111
| spl144_293
| ~ spl144_349 ),
inference(forward_demodulation,[],[f6082,f1650]) ).
fof(f1650,plain,
( e13 = op1(e10,e11)
| ~ spl144_111 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl144_111
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f6082,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl144_293
| ~ spl144_349 ),
inference(forward_demodulation,[],[f6081,f2807]) ).
fof(f2807,plain,
( e20 = h2(e10)
| ~ spl144_349 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f2805,plain,
( spl144_349
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_349])]) ).
fof(f6081,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| spl144_293 ),
inference(forward_demodulation,[],[f2474,f737]) ).
fof(f737,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e13)
& op2(e21,e21) = h2(e10)
& e21 = h2(e11)
& op2(op2(op2(e21,e21),e21),op2(e21,e21)) = h2(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f2474,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl144_293 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f2472,plain,
( spl144_293
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_293])]) ).
fof(f6045,plain,
( ~ spl144_40
| ~ spl144_278
| spl144_288
| ~ spl144_306 ),
inference(avatar_contradiction_clause,[],[f6044]) ).
fof(f6044,plain,
( $false
| ~ spl144_40
| ~ spl144_278
| spl144_288
| ~ spl144_306 ),
inference(subsumption_resolution,[],[f6043,f1339]) ).
fof(f1339,plain,
( e21 = op2(e23,e21)
| ~ spl144_40 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl144_40
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_40])]) ).
fof(f6043,plain,
( e21 != op2(e23,e21)
| ~ spl144_278
| spl144_288
| ~ spl144_306 ),
inference(forward_demodulation,[],[f6042,f737]) ).
fof(f6042,plain,
( op2(e23,e21) != h2(e11)
| ~ spl144_278
| spl144_288
| ~ spl144_306 ),
inference(forward_demodulation,[],[f6041,f2565]) ).
fof(f2565,plain,
( e11 = op1(e13,e11)
| ~ spl144_306 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2563,plain,
( spl144_306
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_306])]) ).
fof(f6041,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl144_278
| spl144_288 ),
inference(forward_demodulation,[],[f6040,f2413]) ).
fof(f6040,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl144_288 ),
inference(forward_demodulation,[],[f2454,f737]) ).
fof(f2454,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl144_288 ),
inference(avatar_component_clause,[],[f2452]) ).
fof(f2452,plain,
( spl144_288
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_288])]) ).
fof(f6008,plain,
( ~ spl144_63
| ~ spl144_162
| ~ spl144_233
| spl144_291 ),
inference(avatar_contradiction_clause,[],[f6007]) ).
fof(f6007,plain,
( $false
| ~ spl144_63
| ~ spl144_162
| ~ spl144_233
| spl144_291 ),
inference(subsumption_resolution,[],[f6006,f1441]) ).
fof(f1441,plain,
( e22 = op2(e22,e21)
| ~ spl144_63 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1439,plain,
( spl144_63
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_63])]) ).
fof(f6006,plain,
( e22 != op2(e22,e21)
| ~ spl144_162
| ~ spl144_233
| spl144_291 ),
inference(forward_demodulation,[],[f6005,f1886]) ).
fof(f1886,plain,
( e22 = h2(e12)
| ~ spl144_162 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1885,plain,
( spl144_162
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_162])]) ).
fof(f6005,plain,
( op2(e22,e21) != h2(e12)
| ~ spl144_162
| ~ spl144_233
| spl144_291 ),
inference(forward_demodulation,[],[f6004,f2209]) ).
fof(f2209,plain,
( e12 = op1(e12,e11)
| ~ spl144_233 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2207,plain,
( spl144_233
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_233])]) ).
fof(f6004,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| ~ spl144_162
| spl144_291 ),
inference(forward_demodulation,[],[f6003,f1886]) ).
fof(f6003,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl144_291 ),
inference(forward_demodulation,[],[f2466,f737]) ).
fof(f2466,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl144_291 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2464,plain,
( spl144_291
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_291])]) ).
fof(f5943,plain,
( ~ spl144_162
| ~ spl144_278
| spl144_282
| ~ spl144_302
| ~ spl144_308 ),
inference(avatar_contradiction_clause,[],[f5942]) ).
fof(f5942,plain,
( $false
| ~ spl144_162
| ~ spl144_278
| spl144_282
| ~ spl144_302
| ~ spl144_308 ),
inference(subsumption_resolution,[],[f5941,f2576]) ).
fof(f2576,plain,
( e22 = op2(e21,e23)
| ~ spl144_308 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f2574,plain,
( spl144_308
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_308])]) ).
fof(f5941,plain,
( e22 != op2(e21,e23)
| ~ spl144_162
| ~ spl144_278
| spl144_282
| ~ spl144_302 ),
inference(forward_demodulation,[],[f5940,f1886]) ).
fof(f5940,plain,
( op2(e21,e23) != h2(e12)
| ~ spl144_278
| spl144_282
| ~ spl144_302 ),
inference(forward_demodulation,[],[f5939,f2538]) ).
fof(f2538,plain,
( e12 = op1(e11,e13)
| ~ spl144_302 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f2536,plain,
( spl144_302
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_302])]) ).
fof(f5939,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl144_278
| spl144_282 ),
inference(forward_demodulation,[],[f5938,f737]) ).
fof(f5938,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| ~ spl144_278
| spl144_282 ),
inference(forward_demodulation,[],[f2430,f2413]) ).
fof(f2430,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl144_282 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f2428,plain,
( spl144_282
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_282])]) ).
fof(f5922,plain,
( ~ spl144_116
| spl144_276
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5921]) ).
fof(f5921,plain,
( $false
| ~ spl144_116
| spl144_276
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5920,f3882]) ).
fof(f3882,plain,
( e20 = op2(e21,e21)
| ~ spl144_349 ),
inference(backward_demodulation,[],[f738,f2807]) ).
fof(f738,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f5920,plain,
( e20 != op2(e21,e21)
| ~ spl144_116
| spl144_276
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5919,f2807]) ).
fof(f5919,plain,
( op2(e21,e21) != h2(e10)
| ~ spl144_116
| spl144_276 ),
inference(forward_demodulation,[],[f5918,f1671]) ).
fof(f1671,plain,
( e10 = op1(e11,e11)
| ~ spl144_116 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1669,plain,
( spl144_116
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f5918,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| spl144_276 ),
inference(forward_demodulation,[],[f2406,f737]) ).
fof(f2406,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl144_276 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f2404,plain,
( spl144_276
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_276])]) ).
fof(f5889,plain,
( ~ spl144_4
| ~ spl144_220
| ~ spl144_278
| spl144_290
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5888]) ).
fof(f5888,plain,
( $false
| ~ spl144_4
| ~ spl144_220
| ~ spl144_278
| spl144_290
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5887,f2141]) ).
fof(f2141,plain,
( e23 = op2(e21,e20)
| ~ spl144_220 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2139,plain,
( spl144_220
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_220])]) ).
fof(f5887,plain,
( e23 != op2(e21,e20)
| ~ spl144_4
| ~ spl144_278
| spl144_290
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5886,f2413]) ).
fof(f5886,plain,
( op2(e21,e20) != h2(e13)
| ~ spl144_4
| spl144_290
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5885,f1185]) ).
fof(f1185,plain,
( e13 = op1(e11,e10)
| ~ spl144_4 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1183,plain,
( spl144_4
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_4])]) ).
fof(f5885,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl144_290
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5884,f737]) ).
fof(f5884,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl144_290
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2462,f2807]) ).
fof(f2462,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl144_290 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2460,plain,
( spl144_290
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_290])]) ).
fof(f5805,plain,
( ~ spl144_85
| ~ spl144_162
| ~ spl144_210
| spl144_287 ),
inference(avatar_contradiction_clause,[],[f5804]) ).
fof(f5804,plain,
( $false
| ~ spl144_85
| ~ spl144_162
| ~ spl144_210
| spl144_287 ),
inference(subsumption_resolution,[],[f5803,f1542]) ).
fof(f5803,plain,
( e21 != op2(e21,e22)
| ~ spl144_162
| ~ spl144_210
| spl144_287 ),
inference(forward_demodulation,[],[f5802,f737]) ).
fof(f5802,plain,
( op2(e21,e22) != h2(e11)
| ~ spl144_162
| ~ spl144_210
| spl144_287 ),
inference(forward_demodulation,[],[f5801,f2091]) ).
fof(f2091,plain,
( e11 = op1(e11,e12)
| ~ spl144_210 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f2089,plain,
( spl144_210
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_210])]) ).
fof(f5801,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| ~ spl144_162
| spl144_287 ),
inference(forward_demodulation,[],[f5800,f737]) ).
fof(f5800,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| ~ spl144_162
| spl144_287 ),
inference(forward_demodulation,[],[f2450,f1886]) ).
fof(f2450,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl144_287 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f2448,plain,
( spl144_287
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_287])]) ).
fof(f5777,plain,
( ~ spl144_146
| ~ spl144_162
| spl144_286
| ~ spl144_294
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5776]) ).
fof(f5776,plain,
( $false
| ~ spl144_146
| ~ spl144_162
| spl144_286
| ~ spl144_294
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5775,f2479]) ).
fof(f2479,plain,
( e22 = op2(e20,e22)
| ~ spl144_294 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f2477,plain,
( spl144_294
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_294])]) ).
fof(f5775,plain,
( e22 != op2(e20,e22)
| ~ spl144_146
| ~ spl144_162
| spl144_286
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5774,f1886]) ).
fof(f5774,plain,
( op2(e20,e22) != h2(e12)
| ~ spl144_146
| ~ spl144_162
| spl144_286
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5773,f1812]) ).
fof(f1812,plain,
( e12 = op1(e10,e12)
| ~ spl144_146 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f1810,plain,
( spl144_146
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f5773,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl144_162
| spl144_286
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5772,f2807]) ).
fof(f5772,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| ~ spl144_162
| spl144_286 ),
inference(forward_demodulation,[],[f2446,f1886]) ).
fof(f2446,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl144_286 ),
inference(avatar_component_clause,[],[f2444]) ).
fof(f2444,plain,
( spl144_286
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_286])]) ).
fof(f5759,plain,
( ~ spl144_158
| ~ spl144_162
| ~ spl144_272
| ~ spl144_278
| spl144_281
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5758]) ).
fof(f5758,plain,
( $false
| ~ spl144_158
| ~ spl144_162
| ~ spl144_272
| ~ spl144_278
| spl144_281
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5757,f1867]) ).
fof(f5757,plain,
( e22 != op2(e23,e20)
| ~ spl144_162
| ~ spl144_272
| ~ spl144_278
| spl144_281
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5756,f1886]) ).
fof(f5756,plain,
( op2(e23,e20) != h2(e12)
| ~ spl144_272
| ~ spl144_278
| spl144_281
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5755,f2372]) ).
fof(f5755,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl144_278
| spl144_281
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5754,f2413]) ).
fof(f5754,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl144_281
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2426,f2807]) ).
fof(f2426,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl144_281 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f2424,plain,
( spl144_281
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_281])]) ).
fof(f5715,plain,
( ~ spl144_148
| ~ spl144_162
| spl144_280
| ~ spl144_349
| ~ spl144_404 ),
inference(avatar_contradiction_clause,[],[f5714]) ).
fof(f5714,plain,
( $false
| ~ spl144_148
| ~ spl144_162
| spl144_280
| ~ spl144_349
| ~ spl144_404 ),
inference(subsumption_resolution,[],[f5713,f3344]) ).
fof(f5713,plain,
( e21 != op2(e22,e20)
| ~ spl144_148
| ~ spl144_162
| spl144_280
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5712,f737]) ).
fof(f5712,plain,
( op2(e22,e20) != h2(e11)
| ~ spl144_148
| ~ spl144_162
| spl144_280
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5711,f1822]) ).
fof(f1822,plain,
( e11 = op1(e12,e10)
| ~ spl144_148 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1820,plain,
( spl144_148
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_148])]) ).
fof(f5711,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl144_162
| spl144_280
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5710,f1886]) ).
fof(f5710,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl144_280
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2422,f2807]) ).
fof(f2422,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl144_280 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f2420,plain,
( spl144_280
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_280])]) ).
fof(f5661,plain,
( ~ spl144_162
| ~ spl144_278
| spl144_279
| ~ spl144_312
| ~ spl144_349
| ~ spl144_411 ),
inference(avatar_contradiction_clause,[],[f5660]) ).
fof(f5660,plain,
( $false
| ~ spl144_162
| ~ spl144_278
| spl144_279
| ~ spl144_312
| ~ spl144_349
| ~ spl144_411 ),
inference(subsumption_resolution,[],[f5659,f3425]) ).
fof(f3425,plain,
( e20 = op2(e23,e22)
| ~ spl144_411 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3423,plain,
( spl144_411
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_411])]) ).
fof(f5659,plain,
( e20 != op2(e23,e22)
| ~ spl144_162
| ~ spl144_278
| spl144_279
| ~ spl144_312
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5658,f2807]) ).
fof(f5658,plain,
( op2(e23,e22) != h2(e10)
| ~ spl144_162
| ~ spl144_278
| spl144_279
| ~ spl144_312 ),
inference(forward_demodulation,[],[f5657,f2599]) ).
fof(f2599,plain,
( e10 = op1(e13,e12)
| ~ spl144_312 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2597,plain,
( spl144_312
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_312])]) ).
fof(f5657,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| ~ spl144_162
| ~ spl144_278
| spl144_279 ),
inference(forward_demodulation,[],[f5656,f2413]) ).
fof(f5656,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl144_162
| spl144_279 ),
inference(forward_demodulation,[],[f2418,f1886]) ).
fof(f2418,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl144_279 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f2416,plain,
( spl144_279
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_279])]) ).
fof(f5614,plain,
( ~ spl144_47
| ~ spl144_58
| spl144_289
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5613]) ).
fof(f5613,plain,
( $false
| ~ spl144_47
| ~ spl144_58
| spl144_289
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5612,f1368]) ).
fof(f1368,plain,
( e20 = op2(e20,e20)
| ~ spl144_47 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1366,plain,
( spl144_47
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_47])]) ).
fof(f5612,plain,
( e20 != op2(e20,e20)
| ~ spl144_58
| spl144_289
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5611,f2807]) ).
fof(f5611,plain,
( op2(e20,e20) != h2(e10)
| ~ spl144_58
| spl144_289
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5610,f1419]) ).
fof(f5610,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl144_289
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2458,f2807]) ).
fof(f2458,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl144_289 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2456,plain,
( spl144_289
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_289])]) ).
fof(f5605,plain,
( ~ spl144_162
| ~ spl144_278
| spl144_285
| ~ spl144_319
| ~ spl144_349
| ~ spl144_352 ),
inference(avatar_contradiction_clause,[],[f5604]) ).
fof(f5604,plain,
( $false
| ~ spl144_162
| ~ spl144_278
| spl144_285
| ~ spl144_319
| ~ spl144_349
| ~ spl144_352 ),
inference(subsumption_resolution,[],[f5603,f2647]) ).
fof(f2647,plain,
( e20 = op2(e22,e23)
| ~ spl144_319 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f2645,plain,
( spl144_319
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f5603,plain,
( e20 != op2(e22,e23)
| ~ spl144_162
| ~ spl144_278
| spl144_285
| ~ spl144_349
| ~ spl144_352 ),
inference(forward_demodulation,[],[f5602,f2807]) ).
fof(f5602,plain,
( op2(e22,e23) != h2(e10)
| ~ spl144_162
| ~ spl144_278
| spl144_285
| ~ spl144_352 ),
inference(forward_demodulation,[],[f5601,f2827]) ).
fof(f2827,plain,
( e10 = op1(e12,e13)
| ~ spl144_352 ),
inference(avatar_component_clause,[],[f2825]) ).
fof(f2825,plain,
( spl144_352
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_352])]) ).
fof(f5601,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| ~ spl144_162
| ~ spl144_278
| spl144_285 ),
inference(forward_demodulation,[],[f5600,f1886]) ).
fof(f5600,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| ~ spl144_278
| spl144_285 ),
inference(forward_demodulation,[],[f2442,f2413]) ).
fof(f2442,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl144_285 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f2440,plain,
( spl144_285
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_285])]) ).
fof(f5554,plain,
( ~ spl144_134
| ~ spl144_153
| ~ spl144_278
| spl144_284 ),
inference(avatar_contradiction_clause,[],[f5553]) ).
fof(f5553,plain,
( $false
| ~ spl144_134
| ~ spl144_153
| ~ spl144_278
| spl144_284 ),
inference(subsumption_resolution,[],[f5552,f1844]) ).
fof(f1844,plain,
( e23 = op2(e23,e23)
| ~ spl144_153 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1842,plain,
( spl144_153
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f5552,plain,
( e23 != op2(e23,e23)
| ~ spl144_134
| ~ spl144_278
| spl144_284 ),
inference(forward_demodulation,[],[f5551,f2413]) ).
fof(f5551,plain,
( op2(e23,e23) != h2(e13)
| ~ spl144_134
| ~ spl144_278
| spl144_284 ),
inference(forward_demodulation,[],[f5550,f1754]) ).
fof(f1754,plain,
( e13 = op1(e13,e13)
| ~ spl144_134 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f5550,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| ~ spl144_278
| spl144_284 ),
inference(forward_demodulation,[],[f2438,f2413]) ).
fof(f2438,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl144_284 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f2436,plain,
( spl144_284
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_284])]) ).
fof(f5524,plain,
( ~ spl144_130
| ~ spl144_278
| spl144_292
| ~ spl144_327
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f5523]) ).
fof(f5523,plain,
( $false
| ~ spl144_130
| ~ spl144_278
| spl144_292
| ~ spl144_327
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f5522,f2707]) ).
fof(f2707,plain,
( e21 = op2(e20,e23)
| ~ spl144_327 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2705,plain,
( spl144_327
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_327])]) ).
fof(f5522,plain,
( e21 != op2(e20,e23)
| ~ spl144_130
| ~ spl144_278
| spl144_292
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5521,f737]) ).
fof(f5521,plain,
( op2(e20,e23) != h2(e11)
| ~ spl144_130
| ~ spl144_278
| spl144_292
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5520,f1735]) ).
fof(f1735,plain,
( e11 = op1(e10,e13)
| ~ spl144_130 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1733,plain,
( spl144_130
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_130])]) ).
fof(f5520,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| ~ spl144_278
| spl144_292
| ~ spl144_349 ),
inference(forward_demodulation,[],[f5519,f2807]) ).
fof(f5519,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| ~ spl144_278
| spl144_292 ),
inference(forward_demodulation,[],[f2470,f2413]) ).
fof(f2470,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl144_292 ),
inference(avatar_component_clause,[],[f2468]) ).
fof(f2468,plain,
( spl144_292
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_292])]) ).
fof(f5414,plain,
( spl144_410
| ~ spl144_153 ),
inference(avatar_split_clause,[],[f5413,f1842,f3404]) ).
fof(f3404,plain,
( spl144_410
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_410])]) ).
fof(f5413,plain,
( e23 = h4(e10)
| ~ spl144_153 ),
inference(forward_demodulation,[],[f353,f1844]) ).
fof(f353,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e13)
& op2(e23,e23) = h4(e10)
& e23 = h4(e11)
& h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f5368,plain,
( ~ spl144_400
| ~ spl144_56
| ~ spl144_162
| spl144_277
| ~ spl144_278 ),
inference(avatar_split_clause,[],[f5367,f2412,f2408,f1885,f1408,f3272]) ).
fof(f3272,plain,
( spl144_400
<=> e23 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_400])]) ).
fof(f1408,plain,
( spl144_56
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_56])]) ).
fof(f2408,plain,
( spl144_277
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_277])]) ).
fof(f5367,plain,
( e23 != h3(e10)
| ~ spl144_56
| ~ spl144_162
| spl144_277
| ~ spl144_278 ),
inference(forward_demodulation,[],[f5076,f2413]) ).
fof(f5076,plain,
( h2(e13) != h3(e10)
| ~ spl144_56
| ~ spl144_162
| spl144_277 ),
inference(forward_demodulation,[],[f3840,f1410]) ).
fof(f1410,plain,
( e13 = op1(e12,e12)
| ~ spl144_56 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f3840,plain,
( h3(e10) != h2(op1(e12,e12))
| ~ spl144_162
| spl144_277 ),
inference(forward_demodulation,[],[f3839,f756]) ).
fof(f756,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))
& op2(op2(e22,e22),e22) = h3(e13)
& e22 = h3(e11)
& op2(e22,e22) = h3(e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f3839,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| ~ spl144_162
| spl144_277 ),
inference(forward_demodulation,[],[f2410,f1886]) ).
fof(f2410,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl144_277 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f5364,plain,
( ~ spl144_85
| ~ spl144_350 ),
inference(avatar_split_clause,[],[f5363,f2812,f1540]) ).
fof(f2812,plain,
( spl144_350
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_350])]) ).
fof(f5363,plain,
( e21 != op2(e21,e22)
| ~ spl144_350 ),
inference(forward_demodulation,[],[f814,f2814]) ).
fof(f2814,plain,
( e21 = op2(e20,e22)
| ~ spl144_350 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f814,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5361,plain,
( ~ spl144_42
| ~ spl144_40 ),
inference(avatar_split_clause,[],[f5360,f1337,f1345]) ).
fof(f1345,plain,
( spl144_42
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_42])]) ).
fof(f5360,plain,
( e21 != op2(e23,e22)
| ~ spl144_40 ),
inference(forward_demodulation,[],[f807,f1339]) ).
fof(f807,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5355,plain,
( ~ spl144_85
| ~ spl144_208 ),
inference(avatar_split_clause,[],[f5354,f2077,f1540]) ).
fof(f2077,plain,
( spl144_208
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_208])]) ).
fof(f5354,plain,
( e21 != op2(e21,e22)
| ~ spl144_208 ),
inference(forward_demodulation,[],[f836,f2079]) ).
fof(f2079,plain,
( e21 = op2(e21,e23)
| ~ spl144_208 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f836,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5332,plain,
( ~ spl144_270
| ~ spl144_319 ),
inference(avatar_split_clause,[],[f5328,f2645,f2359]) ).
fof(f2359,plain,
( spl144_270
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_270])]) ).
fof(f5328,plain,
( e20 != h4(e10)
| ~ spl144_319 ),
inference(backward_demodulation,[],[f3392,f2647]) ).
fof(f3392,plain,
op2(e22,e23) != h4(e10),
inference(backward_demodulation,[],[f805,f353]) ).
fof(f805,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5327,plain,
( ~ spl144_25
| ~ spl144_411 ),
inference(avatar_contradiction_clause,[],[f5326]) ).
fof(f5326,plain,
( $false
| ~ spl144_25
| ~ spl144_411 ),
inference(subsumption_resolution,[],[f5325,f700]) ).
fof(f700,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5325,plain,
( e20 = e23
| ~ spl144_25
| ~ spl144_411 ),
inference(forward_demodulation,[],[f3425,f1271]) ).
fof(f1271,plain,
( e23 = op2(e23,e22)
| ~ spl144_25 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1269,plain,
( spl144_25
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_25])]) ).
fof(f5266,plain,
( ~ spl144_382
| ~ spl144_63 ),
inference(avatar_split_clause,[],[f5265,f1439,f3109]) ).
fof(f3109,plain,
( spl144_382
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_382])]) ).
fof(f5265,plain,
( e22 != h3(e10)
| ~ spl144_63 ),
inference(forward_demodulation,[],[f3279,f1441]) ).
fof(f3279,plain,
op2(e22,e21) != h3(e10),
inference(forward_demodulation,[],[f842,f756]) ).
fof(f842,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5242,plain,
( spl144_270
| ~ spl144_384 ),
inference(avatar_split_clause,[],[f5241,f3120,f2359]) ).
fof(f3120,plain,
( spl144_384
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_384])]) ).
fof(f5241,plain,
( e20 = h4(e10)
| ~ spl144_384 ),
inference(forward_demodulation,[],[f353,f3122]) ).
fof(f3122,plain,
( e20 = op2(e23,e23)
| ~ spl144_384 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f5229,plain,
( ~ spl144_63
| ~ spl144_369 ),
inference(avatar_contradiction_clause,[],[f5228]) ).
fof(f5228,plain,
( $false
| ~ spl144_63
| ~ spl144_369 ),
inference(subsumption_resolution,[],[f5227,f695]) ).
fof(f695,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5227,plain,
( e22 = e23
| ~ spl144_63
| ~ spl144_369 ),
inference(forward_demodulation,[],[f2968,f1441]) ).
fof(f2968,plain,
( e23 = op2(e22,e21)
| ~ spl144_369 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f2966,plain,
( spl144_369
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_369])]) ).
fof(f5223,plain,
( spl144_47
| ~ spl144_132
| ~ spl144_378
| ~ spl144_383 ),
inference(avatar_split_clause,[],[f5222,f3114,f3038,f1743,f1366]) ).
fof(f1743,plain,
( spl144_132
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_132])]) ).
fof(f3038,plain,
( spl144_378
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_378])]) ).
fof(f3114,plain,
( spl144_383
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_383])]) ).
fof(f5222,plain,
( e20 = op2(e20,e20)
| ~ spl144_132
| ~ spl144_378
| ~ spl144_383 ),
inference(backward_demodulation,[],[f5183,f3115]) ).
fof(f3115,plain,
( e20 = h1(e12)
| ~ spl144_383 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f5183,plain,
( op2(e20,e20) = h1(e12)
| ~ spl144_132
| ~ spl144_378 ),
inference(backward_demodulation,[],[f4854,f1744]) ).
fof(f1744,plain,
( e20 = h1(e13)
| ~ spl144_132 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f4854,plain,
( h1(e12) = op2(h1(e13),e20)
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3319,f3039]) ).
fof(f3039,plain,
( e20 = h1(e10)
| ~ spl144_378 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3319,plain,
h1(e12) = op2(h1(e13),h1(e10)),
inference(backward_demodulation,[],[f1850,f349]) ).
fof(f349,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e13)
& op2(e20,e20) = h1(e10)
& e20 = h1(e11)
& h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f1850,plain,
h1(e12) = op2(h1(e13),op2(e20,e20)),
inference(backward_demodulation,[],[f347,f350]) ).
fof(f350,plain,
op2(op2(e20,e20),e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f347,plain,
h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f5203,plain,
( ~ spl144_86
| spl144_300 ),
inference(avatar_contradiction_clause,[],[f5202]) ).
fof(f5202,plain,
( $false
| ~ spl144_86
| spl144_300 ),
inference(subsumption_resolution,[],[f5201,f1546]) ).
fof(f1546,plain,
( e22 = op2(e21,e22)
| ~ spl144_86 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1544,plain,
( spl144_86
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_86])]) ).
fof(f5201,plain,
( e22 != op2(e21,e22)
| ~ spl144_86
| spl144_300 ),
inference(forward_demodulation,[],[f2529,f1546]) ).
fof(f2529,plain,
( e22 != op2(e21,op2(e21,e22))
| spl144_300 ),
inference(avatar_component_clause,[],[f2527]) ).
fof(f2527,plain,
( spl144_300
<=> e22 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_300])]) ).
fof(f5195,plain,
( ~ spl144_132
| ~ spl144_378
| spl144_406 ),
inference(avatar_contradiction_clause,[],[f5194]) ).
fof(f5194,plain,
( $false
| ~ spl144_132
| ~ spl144_378
| spl144_406 ),
inference(subsumption_resolution,[],[f4986,f1744]) ).
fof(f4986,plain,
( e20 != h1(e13)
| ~ spl144_378
| spl144_406 ),
inference(forward_demodulation,[],[f4751,f4796]) ).
fof(f4796,plain,
( op2(e20,e20) = h1(e13)
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3320,f3039]) ).
fof(f3320,plain,
h1(e13) = op2(h1(e10),e20),
inference(backward_demodulation,[],[f350,f349]) ).
fof(f4751,plain,
( e20 != op2(e20,e20)
| ~ spl144_378
| spl144_406 ),
inference(forward_demodulation,[],[f3373,f3039]) ).
fof(f3373,plain,
( e20 != op2(e20,h1(e10))
| spl144_406 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f3371,plain,
( spl144_406
<=> e20 = op2(e20,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_406])]) ).
fof(f5185,plain,
( spl144_383
| ~ spl144_132
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f5184,f3038,f1743,f3114]) ).
fof(f5184,plain,
( e20 = h1(e12)
| ~ spl144_132
| ~ spl144_378 ),
inference(forward_demodulation,[],[f5182,f5183]) ).
fof(f5182,plain,
( e20 = op2(e20,e20)
| ~ spl144_132
| ~ spl144_378 ),
inference(backward_demodulation,[],[f4796,f1744]) ).
fof(f5178,plain,
( spl144_132
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f5115,f3038,f1743]) ).
fof(f5115,plain,
( e20 = h1(e13)
| ~ spl144_378 ),
inference(forward_demodulation,[],[f4805,f4796]) ).
fof(f4805,plain,
( e20 = op2(e20,e20)
| ~ spl144_378 ),
inference(forward_demodulation,[],[f349,f3039]) ).
fof(f5110,plain,
( ~ spl144_34
| spl144_135 ),
inference(avatar_contradiction_clause,[],[f5109]) ).
fof(f5109,plain,
( $false
| ~ spl144_34
| spl144_135 ),
inference(subsumption_resolution,[],[f5108,f1311]) ).
fof(f1311,plain,
( e23 = op2(e22,e23)
| ~ spl144_34 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl144_34
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_34])]) ).
fof(f5108,plain,
( e23 != op2(e22,e23)
| ~ spl144_34
| spl144_135 ),
inference(forward_demodulation,[],[f1759,f1311]) ).
fof(f1759,plain,
( e23 != op2(e22,op2(e22,e23))
| spl144_135 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1757,plain,
( spl144_135
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_135])]) ).
fof(f5101,plain,
( ~ spl144_358
| ~ spl144_148 ),
inference(avatar_split_clause,[],[f5100,f1820,f2885]) ).
fof(f2885,plain,
( spl144_358
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_358])]) ).
fof(f5100,plain,
( e11 != op1(e12,e13)
| ~ spl144_148 ),
inference(forward_demodulation,[],[f883,f1822]) ).
fof(f883,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5009,plain,
( ~ spl144_215
| ~ spl144_158 ),
inference(avatar_split_clause,[],[f5008,f1865,f2113]) ).
fof(f2113,plain,
( spl144_215
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_215])]) ).
fof(f5008,plain,
( e22 != op2(e23,e22)
| ~ spl144_158 ),
inference(forward_demodulation,[],[f834,f1867]) ).
fof(f834,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5004,plain,
( ~ spl144_216
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f4955,f3038,f2118]) ).
fof(f2118,plain,
( spl144_216
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_216])]) ).
fof(f4955,plain,
( e20 != op2(e20,e22)
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3317,f3039]) ).
fof(f3317,plain,
op2(e20,e22) != h1(e10),
inference(backward_demodulation,[],[f810,f349]) ).
fof(f810,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4985,plain,
( ~ spl144_365
| ~ spl144_272 ),
inference(avatar_split_clause,[],[f4499,f2370,f2934]) ).
fof(f2934,plain,
( spl144_365
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_365])]) ).
fof(f4499,plain,
( op1(e10,e10) != e12
| ~ spl144_272 ),
inference(forward_demodulation,[],[f870,f2372]) ).
fof(f870,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4983,plain,
( ~ spl144_396
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f4982,f2962,f3203]) ).
fof(f3203,plain,
( spl144_396
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_396])]) ).
fof(f4982,plain,
( e23 != op2(e20,e22)
| ~ spl144_368 ),
inference(forward_demodulation,[],[f822,f2964]) ).
fof(f822,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4981,plain,
( ~ spl144_295
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f4794,f1648,f2494]) ).
fof(f2494,plain,
( spl144_295
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_295])]) ).
fof(f4794,plain,
( op1(e10,e10) != e13
| ~ spl144_111 ),
inference(forward_demodulation,[],[f856,f1650]) ).
fof(f856,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4978,plain,
( ~ spl144_304
| ~ spl144_306 ),
inference(avatar_split_clause,[],[f4977,f2563,f2550]) ).
fof(f2550,plain,
( spl144_304
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_304])]) ).
fof(f4977,plain,
( e11 != op1(e13,e13)
| ~ spl144_306 ),
inference(forward_demodulation,[],[f862,f2565]) ).
fof(f862,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4938,plain,
( ~ spl144_60
| ~ spl144_272 ),
inference(avatar_contradiction_clause,[],[f4937]) ).
fof(f4937,plain,
( $false
| ~ spl144_60
| ~ spl144_272 ),
inference(subsumption_resolution,[],[f4936,f794]) ).
fof(f794,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4936,plain,
( e12 = e13
| ~ spl144_60
| ~ spl144_272 ),
inference(forward_demodulation,[],[f1427,f2372]) ).
fof(f1427,plain,
( e13 = op1(e13,e10)
| ~ spl144_60 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1425,plain,
( spl144_60
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_60])]) ).
fof(f4928,plain,
( ~ spl144_55
| ~ spl144_210 ),
inference(avatar_contradiction_clause,[],[f4927]) ).
fof(f4927,plain,
( $false
| ~ spl144_55
| ~ spl144_210 ),
inference(subsumption_resolution,[],[f4926,f795]) ).
fof(f4926,plain,
( e11 = e13
| ~ spl144_55
| ~ spl144_210 ),
inference(forward_demodulation,[],[f1406,f2091]) ).
fof(f1406,plain,
( e13 = op1(e11,e12)
| ~ spl144_55 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1404,plain,
( spl144_55
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_55])]) ).
fof(f4844,plain,
( ~ spl144_30
| ~ spl144_5
| ~ spl144_7
| ~ spl144_111
| ~ spl144_270
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f4836,f3376,f2359,f1648,f1196,f1188,f1291]) ).
fof(f1291,plain,
( spl144_30
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_30])]) ).
fof(f1188,plain,
( spl144_5
<=> e23 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_5])]) ).
fof(f1196,plain,
( spl144_7
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_7])]) ).
fof(f3376,plain,
( spl144_407
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_407])]) ).
fof(f4836,plain,
( e22 != op2(e22,e23)
| ~ spl144_5
| ~ spl144_7
| ~ spl144_111
| ~ spl144_270
| ~ spl144_407 ),
inference(backward_demodulation,[],[f4743,f3377]) ).
fof(f3377,plain,
( e22 = h4(e13)
| ~ spl144_407 ),
inference(avatar_component_clause,[],[f3376]) ).
fof(f4743,plain,
( op2(e22,e23) != h4(e13)
| ~ spl144_5
| ~ spl144_7
| ~ spl144_111
| ~ spl144_270 ),
inference(forward_demodulation,[],[f818,f4506]) ).
fof(f4506,plain,
( op2(e20,e23) = h4(e13)
| ~ spl144_5
| ~ spl144_7
| ~ spl144_111
| ~ spl144_270 ),
inference(forward_demodulation,[],[f4505,f1650]) ).
fof(f4505,plain,
( op2(e20,e23) = h4(op1(e10,e11))
| ~ spl144_5
| ~ spl144_7
| ~ spl144_270 ),
inference(forward_demodulation,[],[f4504,f2360]) ).
fof(f2360,plain,
( e20 = h4(e10)
| ~ spl144_270 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f4504,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e23)
| ~ spl144_5
| ~ spl144_7 ),
inference(forward_demodulation,[],[f1197,f1189]) ).
fof(f1189,plain,
( e23 = h4(e11)
| ~ spl144_5 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1197,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl144_7 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f818,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4821,plain,
( ~ spl144_122
| ~ spl144_272 ),
inference(avatar_contradiction_clause,[],[f4820]) ).
fof(f4820,plain,
( $false
| ~ spl144_122
| ~ spl144_272 ),
inference(subsumption_resolution,[],[f4819,f792]) ).
fof(f792,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f4819,plain,
( e10 = e12
| ~ spl144_122
| ~ spl144_272 ),
inference(forward_demodulation,[],[f1699,f2372]) ).
fof(f1699,plain,
( e10 = op1(e13,e10)
| ~ spl144_122 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1697,plain,
( spl144_122
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_122])]) ).
fof(f4772,plain,
( ~ spl144_355
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f4771,f2962,f2853]) ).
fof(f2853,plain,
( spl144_355
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_355])]) ).
fof(f4771,plain,
( e23 != op2(e23,e21)
| ~ spl144_368 ),
inference(forward_demodulation,[],[f820,f2964]) ).
fof(f820,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4758,plain,
( ~ spl144_320
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f4757]) ).
fof(f4757,plain,
( $false
| ~ spl144_320
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f4756,f699]) ).
fof(f699,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4756,plain,
( e20 = e22
| ~ spl144_320
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2653,f2807]) ).
fof(f2653,plain,
( e22 = h2(e10)
| ~ spl144_320 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2651,plain,
( spl144_320
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_320])]) ).
fof(f4742,plain,
( ~ spl144_411
| ~ spl144_270 ),
inference(avatar_split_clause,[],[f4741,f2359,f3423]) ).
fof(f4741,plain,
( e20 != op2(e23,e22)
| ~ spl144_270 ),
inference(forward_demodulation,[],[f3396,f2360]) ).
fof(f3396,plain,
op2(e23,e22) != h4(e10),
inference(backward_demodulation,[],[f844,f353]) ).
fof(f844,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4688,plain,
( ~ spl144_208
| ~ spl144_316 ),
inference(avatar_contradiction_clause,[],[f4687]) ).
fof(f4687,plain,
( $false
| ~ spl144_208
| ~ spl144_316 ),
inference(subsumption_resolution,[],[f4686,f2619]) ).
fof(f2619,plain,
( e21 = op2(e21,e20)
| ~ spl144_316 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f4686,plain,
( e21 != op2(e21,e20)
| ~ spl144_208 ),
inference(forward_demodulation,[],[f808,f2079]) ).
fof(f808,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4576,plain,
( ~ spl144_38
| ~ spl144_158 ),
inference(avatar_split_clause,[],[f4575,f1865,f1328]) ).
fof(f1328,plain,
( spl144_38
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_38])]) ).
fof(f4575,plain,
( e22 != h1(e10)
| ~ spl144_158 ),
inference(forward_demodulation,[],[f3568,f1867]) ).
fof(f3568,plain,
op2(e23,e20) != h1(e10),
inference(forward_demodulation,[],[f828,f349]) ).
fof(f828,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4573,plain,
( ~ spl144_40
| spl144_413 ),
inference(avatar_contradiction_clause,[],[f4572]) ).
fof(f4572,plain,
( $false
| ~ spl144_40
| spl144_413 ),
inference(subsumption_resolution,[],[f4571,f1339]) ).
fof(f4571,plain,
( e21 != op2(e23,e21)
| ~ spl144_40
| spl144_413 ),
inference(forward_demodulation,[],[f3442,f1339]) ).
fof(f3442,plain,
( e21 != op2(e23,op2(e23,e21))
| spl144_413 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f3440,plain,
( spl144_413
<=> e21 = op2(e23,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_413])]) ).
fof(f4570,plain,
( ~ spl144_310
| ~ spl144_58 ),
inference(avatar_split_clause,[],[f4569,f1417,f2583]) ).
fof(f2583,plain,
( spl144_310
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_310])]) ).
fof(f4569,plain,
( e10 != op1(e10,e13)
| ~ spl144_58 ),
inference(forward_demodulation,[],[f875,f1419]) ).
fof(f875,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4566,plain,
( ~ spl144_160
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f4565,f1648,f1875]) ).
fof(f1875,plain,
( spl144_160
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f4565,plain,
( e13 != op1(e10,e13)
| ~ spl144_111 ),
inference(forward_demodulation,[],[f881,f1650]) ).
fof(f881,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4564,plain,
( spl144_368
| ~ spl144_278
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3889,f2805,f2412,f2962]) ).
fof(f3889,plain,
( e23 = op2(e20,e21)
| ~ spl144_278
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3868,f2807]) ).
fof(f3868,plain,
( e23 = op2(h2(e10),e21)
| ~ spl144_278 ),
inference(backward_demodulation,[],[f3364,f2413]) ).
fof(f3364,plain,
h2(e13) = op2(h2(e10),e21),
inference(forward_demodulation,[],[f739,f738]) ).
fof(f739,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f4544,plain,
( ~ spl144_149
| ~ spl144_68 ),
inference(avatar_split_clause,[],[f4387,f1461,f1824]) ).
fof(f1824,plain,
( spl144_149
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_149])]) ).
fof(f4387,plain,
( e13 != op1(e12,e10)
| ~ spl144_68 ),
inference(forward_demodulation,[],[f883,f1463]) ).
fof(f4522,plain,
( ~ spl144_299
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f4521]) ).
fof(f4521,plain,
( $false
| ~ spl144_299
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f4520,f696]) ).
fof(f696,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f4520,plain,
( e20 = e21
| ~ spl144_299
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2523,f2807]) ).
fof(f2523,plain,
( e21 = h2(e10)
| ~ spl144_299 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2521,plain,
( spl144_299
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_299])]) ).
fof(f4497,plain,
( ~ spl144_31
| ~ spl144_233 ),
inference(avatar_contradiction_clause,[],[f4496]) ).
fof(f4496,plain,
( $false
| ~ spl144_31
| ~ spl144_233 ),
inference(subsumption_resolution,[],[f4495,f2209]) ).
fof(f4495,plain,
( e12 != op1(e12,e11)
| ~ spl144_31 ),
inference(forward_demodulation,[],[f864,f1298]) ).
fof(f1298,plain,
( e12 = op1(e12,e12)
| ~ spl144_31 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl144_31
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_31])]) ).
fof(f864,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4489,plain,
( spl144_407
| ~ spl144_270
| ~ spl144_309 ),
inference(avatar_split_clause,[],[f4488,f2578,f2359,f3376]) ).
fof(f2578,plain,
( spl144_309
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_309])]) ).
fof(f4488,plain,
( e22 = h4(e13)
| ~ spl144_270
| ~ spl144_309 ),
inference(forward_demodulation,[],[f4271,f2580]) ).
fof(f2580,plain,
( e22 = op2(e20,e23)
| ~ spl144_309 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f4271,plain,
( op2(e20,e23) = h4(e13)
| ~ spl144_270 ),
inference(backward_demodulation,[],[f3390,f2360]) ).
fof(f3390,plain,
h4(e13) = op2(h4(e10),e23),
inference(backward_demodulation,[],[f354,f353]) ).
fof(f354,plain,
op2(op2(e23,e23),e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4463,plain,
( ~ spl144_278
| ~ spl144_349
| ~ spl144_359 ),
inference(avatar_contradiction_clause,[],[f4462]) ).
fof(f4462,plain,
( $false
| ~ spl144_278
| ~ spl144_349
| ~ spl144_359 ),
inference(subsumption_resolution,[],[f4461,f695]) ).
fof(f4461,plain,
( e22 = e23
| ~ spl144_278
| ~ spl144_349
| ~ spl144_359 ),
inference(forward_demodulation,[],[f3889,f2899]) ).
fof(f2899,plain,
( e22 = op2(e20,e21)
| ~ spl144_359 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2897,plain,
( spl144_359
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_359])]) ).
fof(f4433,plain,
( ~ spl144_41
| ~ spl144_158 ),
inference(avatar_contradiction_clause,[],[f4432]) ).
fof(f4432,plain,
( $false
| ~ spl144_41
| ~ spl144_158 ),
inference(subsumption_resolution,[],[f4431,f697]) ).
fof(f697,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4431,plain,
( e21 = e22
| ~ spl144_41
| ~ spl144_158 ),
inference(forward_demodulation,[],[f1343,f1867]) ).
fof(f1343,plain,
( e21 = op2(e23,e20)
| ~ spl144_41 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1341,plain,
( spl144_41
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_41])]) ).
fof(f4411,plain,
( ~ spl144_306
| spl144_405 ),
inference(avatar_contradiction_clause,[],[f4410]) ).
fof(f4410,plain,
( $false
| ~ spl144_306
| spl144_405 ),
inference(subsumption_resolution,[],[f4409,f2565]) ).
fof(f4409,plain,
( e11 != op1(e13,e11)
| ~ spl144_306
| spl144_405 ),
inference(forward_demodulation,[],[f3361,f2565]) ).
fof(f3361,plain,
( e11 != op1(e13,op1(e13,e11))
| spl144_405 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f3359,plain,
( spl144_405
<=> e11 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_405])]) ).
fof(f4364,plain,
( ~ spl144_208
| ~ spl144_308 ),
inference(avatar_contradiction_clause,[],[f4363]) ).
fof(f4363,plain,
( $false
| ~ spl144_208
| ~ spl144_308 ),
inference(subsumption_resolution,[],[f4362,f697]) ).
fof(f4362,plain,
( e21 = e22
| ~ spl144_208
| ~ spl144_308 ),
inference(forward_demodulation,[],[f2079,f2576]) ).
fof(f4349,plain,
( ~ spl144_56
| ~ spl144_68 ),
inference(avatar_split_clause,[],[f4347,f1461,f1408]) ).
fof(f4347,plain,
( e13 != op1(e12,e12)
| ~ spl144_68 ),
inference(backward_demodulation,[],[f859,f1463]) ).
fof(f859,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4345,plain,
( ~ spl144_145
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f4309,f2805,f1805]) ).
fof(f1805,plain,
( spl144_145
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_145])]) ).
fof(f4309,plain,
( e20 != op2(e20,e21)
| ~ spl144_349 ),
inference(forward_demodulation,[],[f2195,f2807]) ).
fof(f2195,plain,
op2(e20,e21) != h2(e10),
inference(backward_demodulation,[],[f845,f738]) ).
fof(f845,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4343,plain,
( ~ spl144_208
| ~ spl144_318 ),
inference(avatar_split_clause,[],[f4342,f2641,f2077]) ).
fof(f2641,plain,
( spl144_318
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_318])]) ).
fof(f4342,plain,
( e21 != op2(e21,e23)
| ~ spl144_318 ),
inference(backward_demodulation,[],[f824,f2643]) ).
fof(f2643,plain,
( e21 = op2(e22,e23)
| ~ spl144_318 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f824,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4328,plain,
( ~ spl144_57
| ~ spl144_111 ),
inference(avatar_split_clause,[],[f4327,f1648,f1412]) ).
fof(f1412,plain,
( spl144_57
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_57])]) ).
fof(f4327,plain,
( e13 != op1(e10,e12)
| ~ spl144_111 ),
inference(forward_demodulation,[],[f869,f1650]) ).
fof(f869,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4326,plain,
( ~ spl144_123
| ~ spl144_216 ),
inference(avatar_split_clause,[],[f4325,f2118,f1702]) ).
fof(f1702,plain,
( spl144_123
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_123])]) ).
fof(f4325,plain,
( e20 != op2(e20,e23)
| ~ spl144_216 ),
inference(forward_demodulation,[],[f809,f2120]) ).
fof(f2120,plain,
( e20 = op2(e20,e22)
| ~ spl144_216 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f809,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4316,plain,
( ~ spl144_105
| ~ spl144_378 ),
inference(avatar_contradiction_clause,[],[f4315]) ).
fof(f4315,plain,
( $false
| ~ spl144_105
| ~ spl144_378 ),
inference(subsumption_resolution,[],[f4314,f696]) ).
fof(f4314,plain,
( e20 = e21
| ~ spl144_105
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3039,f1624]) ).
fof(f1624,plain,
( e21 = h1(e10)
| ~ spl144_105 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1623,plain,
( spl144_105
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f4293,plain,
( ~ spl144_136
| ~ spl144_221 ),
inference(avatar_contradiction_clause,[],[f4292]) ).
fof(f4292,plain,
( $false
| ~ spl144_136
| ~ spl144_221 ),
inference(subsumption_resolution,[],[f4291,f700]) ).
fof(f4291,plain,
( e20 = e23
| ~ spl144_136
| ~ spl144_221 ),
inference(forward_demodulation,[],[f2145,f1764]) ).
fof(f1764,plain,
( e20 = op2(e22,e20)
| ~ spl144_136 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1762,plain,
( spl144_136
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_136])]) ).
fof(f4259,plain,
( ~ spl144_5
| spl144_7
| ~ spl144_111 ),
inference(avatar_contradiction_clause,[],[f4258]) ).
fof(f4258,plain,
( $false
| ~ spl144_5
| spl144_7
| ~ spl144_111 ),
inference(trivial_inequality_removal,[],[f4255]) ).
fof(f4255,plain,
( h4(e13) != h4(e13)
| ~ spl144_5
| spl144_7
| ~ spl144_111 ),
inference(backward_demodulation,[],[f4017,f1650]) ).
fof(f4017,plain,
( h4(e13) != h4(op1(e10,e11))
| ~ spl144_5
| spl144_7 ),
inference(forward_demodulation,[],[f4016,f3390]) ).
fof(f4016,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| ~ spl144_5
| spl144_7 ),
inference(backward_demodulation,[],[f1198,f1189]) ).
fof(f1198,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl144_7 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f4233,plain,
( ~ spl144_134
| ~ spl144_303 ),
inference(avatar_contradiction_clause,[],[f4232]) ).
fof(f4232,plain,
( $false
| ~ spl144_134
| ~ spl144_303 ),
inference(subsumption_resolution,[],[f4231,f793]) ).
fof(f793,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4231,plain,
( e10 = e13
| ~ spl144_134
| ~ spl144_303 ),
inference(forward_demodulation,[],[f1754,f2548]) ).
fof(f2548,plain,
( e10 = op1(e13,e13)
| ~ spl144_303 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2546,plain,
( spl144_303
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_303])]) ).
fof(f4223,plain,
( ~ spl144_397
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f4222,f1669,f3223]) ).
fof(f3223,plain,
( spl144_397
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_397])]) ).
fof(f4222,plain,
( e10 != op1(e11,e13)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f853,f1671]) ).
fof(f853,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4220,plain,
( ~ spl144_90
| ~ spl144_210 ),
inference(avatar_split_clause,[],[f4219,f2089,f1562]) ).
fof(f4219,plain,
( e11 != op1(e11,e13)
| ~ spl144_210 ),
inference(backward_demodulation,[],[f849,f2091]) ).
fof(f849,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4207,plain,
( ~ spl144_158
| ~ spl144_219 ),
inference(avatar_contradiction_clause,[],[f4206]) ).
fof(f4206,plain,
( $false
| ~ spl144_158
| ~ spl144_219 ),
inference(subsumption_resolution,[],[f4205,f695]) ).
fof(f4205,plain,
( e22 = e23
| ~ spl144_158
| ~ spl144_219 ),
inference(forward_demodulation,[],[f2135,f1867]) ).
fof(f2135,plain,
( e23 = op2(e23,e20)
| ~ spl144_219 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2133,plain,
( spl144_219
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_219])]) ).
fof(f4167,plain,
( ~ spl144_210
| ~ spl144_127 ),
inference(avatar_split_clause,[],[f4166,f1721,f2089]) ).
fof(f1721,plain,
( spl144_127
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_127])]) ).
fof(f4166,plain,
( e11 != op1(e11,e12)
| ~ spl144_127 ),
inference(forward_demodulation,[],[f879,f1723]) ).
fof(f1723,plain,
( e11 = op1(e10,e12)
| ~ spl144_127 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f879,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4141,plain,
( ~ spl144_319
| ~ spl144_136 ),
inference(avatar_split_clause,[],[f4140,f1762,f2645]) ).
fof(f4140,plain,
( e20 != op2(e22,e23)
| ~ spl144_136 ),
inference(forward_demodulation,[],[f835,f1764]) ).
fof(f835,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4137,plain,
( ~ spl144_233
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f4136,f1475,f2207]) ).
fof(f1475,plain,
( spl144_71
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_71])]) ).
fof(f4136,plain,
( e12 != op1(e12,e11)
| ~ spl144_71 ),
inference(forward_demodulation,[],[f880,f1477]) ).
fof(f1477,plain,
( e12 = op1(e12,e13)
| ~ spl144_71 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f880,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4135,plain,
( ~ spl144_233
| ~ spl144_273 ),
inference(avatar_split_clause,[],[f4134,f2374,f2207]) ).
fof(f2374,plain,
( spl144_273
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_273])]) ).
fof(f4134,plain,
( e12 != op1(e12,e11)
| ~ spl144_273 ),
inference(forward_demodulation,[],[f891,f2376]) ).
fof(f2376,plain,
( e12 = op1(e13,e11)
| ~ spl144_273 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f891,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4112,plain,
( ~ spl144_116
| ~ spl144_117 ),
inference(avatar_contradiction_clause,[],[f4111]) ).
fof(f4111,plain,
( $false
| ~ spl144_116
| ~ spl144_117 ),
inference(subsumption_resolution,[],[f4110,f797]) ).
fof(f797,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4110,plain,
( e10 = e11
| ~ spl144_116
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1676,f1671]) ).
fof(f1676,plain,
( e11 = op1(e11,e11)
| ~ spl144_117 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1674,plain,
( spl144_117
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_117])]) ).
fof(f4107,plain,
( ~ spl144_216
| ~ spl144_294 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
fof(f4106,plain,
( $false
| ~ spl144_216
| ~ spl144_294 ),
inference(subsumption_resolution,[],[f4105,f699]) ).
fof(f4105,plain,
( e20 = e22
| ~ spl144_216
| ~ spl144_294 ),
inference(forward_demodulation,[],[f2479,f2120]) ).
fof(f4102,plain,
( ~ spl144_209
| ~ spl144_278
| ~ spl144_349 ),
inference(avatar_contradiction_clause,[],[f4101]) ).
fof(f4101,plain,
( $false
| ~ spl144_209
| ~ spl144_278
| ~ spl144_349 ),
inference(subsumption_resolution,[],[f4100,f698]) ).
fof(f4100,plain,
( e21 = e23
| ~ spl144_209
| ~ spl144_278
| ~ spl144_349 ),
inference(forward_demodulation,[],[f3889,f2085]) ).
fof(f2085,plain,
( e21 = op2(e20,e21)
| ~ spl144_209 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f2083,plain,
( spl144_209
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_209])]) ).
fof(f4091,plain,
( ~ spl144_56
| ~ spl144_149 ),
inference(avatar_split_clause,[],[f4090,f1824,f1408]) ).
fof(f4090,plain,
( e13 != op1(e12,e12)
| ~ spl144_149 ),
inference(forward_demodulation,[],[f858,f1826]) ).
fof(f1826,plain,
( e13 = op1(e12,e10)
| ~ spl144_149 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f858,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4047,plain,
( ~ spl144_83
| ~ spl144_158 ),
inference(avatar_contradiction_clause,[],[f4046]) ).
fof(f4046,plain,
( $false
| ~ spl144_83
| ~ spl144_158 ),
inference(subsumption_resolution,[],[f4045,f699]) ).
fof(f4045,plain,
( e20 = e22
| ~ spl144_83
| ~ spl144_158 ),
inference(forward_demodulation,[],[f1867,f1533]) ).
fof(f1533,plain,
( e20 = op2(e23,e20)
| ~ spl144_83 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1531,plain,
( spl144_83
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_83])]) ).
fof(f4009,plain,
( ~ spl144_294
| ~ spl144_86 ),
inference(avatar_split_clause,[],[f4006,f1544,f2477]) ).
fof(f4006,plain,
( e22 != op2(e20,e22)
| ~ spl144_86 ),
inference(backward_demodulation,[],[f814,f1546]) ).
fof(f4001,plain,
( ~ spl144_63
| ~ spl144_226 ),
inference(avatar_contradiction_clause,[],[f4000]) ).
fof(f4000,plain,
( $false
| ~ spl144_63
| ~ spl144_226 ),
inference(subsumption_resolution,[],[f3999,f697]) ).
fof(f3999,plain,
( e21 = e22
| ~ spl144_63
| ~ spl144_226 ),
inference(forward_demodulation,[],[f2170,f1441]) ).
fof(f2170,plain,
( e21 = op2(e22,e21)
| ~ spl144_226 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2168,plain,
( spl144_226
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_226])]) ).
fof(f3994,plain,
( ~ spl144_410
| ~ spl144_54 ),
inference(avatar_split_clause,[],[f3992,f1399,f3404]) ).
fof(f1399,plain,
( spl144_54
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_54])]) ).
fof(f3992,plain,
( e23 != h4(e10)
| ~ spl144_54 ),
inference(backward_demodulation,[],[f3393,f1401]) ).
fof(f1401,plain,
( e23 = op2(e21,e23)
| ~ spl144_54 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f3393,plain,
op2(e21,e23) != h4(e10),
inference(backward_demodulation,[],[f816,f353]) ).
fof(f816,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3980,plain,
( ~ spl144_30
| ~ spl144_34 ),
inference(avatar_contradiction_clause,[],[f3979]) ).
fof(f3979,plain,
( $false
| ~ spl144_30
| ~ spl144_34 ),
inference(subsumption_resolution,[],[f3978,f695]) ).
fof(f3978,plain,
( e22 = e23
| ~ spl144_30
| ~ spl144_34 ),
inference(forward_demodulation,[],[f1293,f1311]) ).
fof(f1293,plain,
( e22 = op2(e22,e23)
| ~ spl144_30 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f3968,plain,
( ~ spl144_111
| ~ spl144_110 ),
inference(avatar_split_clause,[],[f3966,f1644,f1648]) ).
fof(f1644,plain,
( spl144_110
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f3966,plain,
( e13 != op1(e10,e11)
| ~ spl144_110 ),
inference(backward_demodulation,[],[f874,f1646]) ).
fof(f1646,plain,
( e13 = op1(e13,e11)
| ~ spl144_110 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f874,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3965,plain,
( ~ spl144_400
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f3960,f1269,f3272]) ).
fof(f3960,plain,
( e23 != h3(e10)
| ~ spl144_25 ),
inference(backward_demodulation,[],[f3084,f1271]) ).
fof(f3084,plain,
op2(e23,e22) != h3(e10),
inference(backward_demodulation,[],[f817,f756]) ).
fof(f817,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3964,plain,
( ~ spl144_84
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f3961,f1269,f1536]) ).
fof(f3961,plain,
( e23 != op2(e21,e22)
| ~ spl144_25 ),
inference(backward_demodulation,[],[f801,f1271]) ).
fof(f801,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3963,plain,
( ~ spl144_410
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f3959,f1269,f3404]) ).
fof(f3959,plain,
( e23 != h4(e10)
| ~ spl144_25 ),
inference(backward_demodulation,[],[f3396,f1271]) ).
fof(f3952,plain,
( ~ spl144_270
| ~ spl144_123 ),
inference(avatar_split_clause,[],[f3948,f1702,f2359]) ).
fof(f3948,plain,
( e20 != h4(e10)
| ~ spl144_123 ),
inference(backward_demodulation,[],[f3394,f1704]) ).
fof(f1704,plain,
( e20 = op2(e20,e23)
| ~ spl144_123 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f3394,plain,
op2(e20,e23) != h4(e10),
inference(backward_demodulation,[],[f821,f353]) ).
fof(f821,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3951,plain,
( ~ spl144_378
| ~ spl144_123 ),
inference(avatar_split_clause,[],[f3946,f1702,f3038]) ).
fof(f3946,plain,
( e20 != h1(e10)
| ~ spl144_123 ),
inference(backward_demodulation,[],[f3753,f1704]) ).
fof(f3753,plain,
op2(e20,e23) != h1(e10),
inference(forward_demodulation,[],[f825,f349]) ).
fof(f825,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3916,plain,
( ~ spl144_66
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f3909,f1669,f1452]) ).
fof(f1452,plain,
( spl144_66
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_66])]) ).
fof(f3909,plain,
( e10 != op1(e10,e11)
| ~ spl144_116 ),
inference(backward_demodulation,[],[f867,f1671]) ).
fof(f867,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3915,plain,
( spl144_272
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f3911,f1669,f2370]) ).
fof(f3911,plain,
( e12 = op1(e13,e10)
| ~ spl144_116 ),
inference(backward_demodulation,[],[f3574,f1671]) ).
fof(f3574,plain,
e12 = op1(e13,op1(e11,e11)),
inference(backward_demodulation,[],[f344,f345]) ).
fof(f345,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e10 = op1(e11,e11)
& e13 = op1(op1(e11,e11),e11)
& e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f344,plain,
e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f3914,plain,
( ~ spl144_115
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f3910,f1669,f1665]) ).
fof(f1665,plain,
( spl144_115
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f3910,plain,
( e10 != op1(e13,e11)
| ~ spl144_116 ),
inference(backward_demodulation,[],[f889,f1671]) ).
fof(f889,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3913,plain,
( spl144_111
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f3907,f1669,f1648]) ).
fof(f3907,plain,
( e13 = op1(e10,e11)
| ~ spl144_116 ),
inference(backward_demodulation,[],[f345,f1671]) ).
fof(f3912,plain,
( ~ spl144_311
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f3908,f1669,f2588]) ).
fof(f2588,plain,
( spl144_311
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_311])]) ).
fof(f3908,plain,
( e10 != op1(e11,e12)
| ~ spl144_116 ),
inference(backward_demodulation,[],[f860,f1671]) ).
fof(f860,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3906,plain,
( spl144_38
| ~ spl144_46 ),
inference(avatar_split_clause,[],[f3905,f1362,f1328]) ).
fof(f1362,plain,
( spl144_46
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_46])]) ).
fof(f3905,plain,
( e22 = h1(e10)
| ~ spl144_46 ),
inference(forward_demodulation,[],[f1364,f349]) ).
fof(f1364,plain,
( op2(e20,e20) = e22
| ~ spl144_46 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f3898,plain,
( ~ spl144_385
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3886,f2805,f3124]) ).
fof(f3124,plain,
( spl144_385
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_385])]) ).
fof(f3886,plain,
( e20 != op2(e21,e23)
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3295,f2807]) ).
fof(f3295,plain,
op2(e21,e23) != h2(e10),
inference(forward_demodulation,[],[f831,f738]) ).
fof(f831,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3894,plain,
( ~ spl144_87
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3887,f2805,f1548]) ).
fof(f1548,plain,
( spl144_87
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_87])]) ).
fof(f3887,plain,
( e20 != op2(e21,e22)
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3598,f2807]) ).
fof(f3598,plain,
op2(e21,e22) != h2(e10),
inference(forward_demodulation,[],[f837,f738]) ).
fof(f837,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3893,plain,
( ~ spl144_37
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3883,f2805,f1323]) ).
fof(f1323,plain,
( spl144_37
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_37])]) ).
fof(f3883,plain,
( e20 != op2(e21,e20)
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3016,f2807]) ).
fof(f3016,plain,
op2(e21,e20) != h2(e10),
inference(forward_demodulation,[],[f799,f738]) ).
fof(f799,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3892,plain,
( spl144_158
| ~ spl144_162
| ~ spl144_278
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3888,f2805,f2412,f1885,f1865]) ).
fof(f3888,plain,
( e22 = op2(e23,e20)
| ~ spl144_162
| ~ spl144_278
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3867,f2807]) ).
fof(f3867,plain,
( e22 = op2(e23,h2(e10))
| ~ spl144_162
| ~ spl144_278 ),
inference(backward_demodulation,[],[f3793,f2413]) ).
fof(f3793,plain,
( e22 = op2(h2(e13),h2(e10))
| ~ spl144_162 ),
inference(backward_demodulation,[],[f3365,f1886]) ).
fof(f3365,plain,
h2(e12) = op2(h2(e13),h2(e10)),
inference(backward_demodulation,[],[f2194,f3364]) ).
fof(f2194,plain,
h2(e12) = op2(op2(h2(e10),e21),h2(e10)),
inference(backward_demodulation,[],[f736,f738]) ).
fof(f736,plain,
op2(op2(op2(e21,e21),e21),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f3891,plain,
( ~ spl144_362
| ~ spl144_349 ),
inference(avatar_split_clause,[],[f3884,f2805,f2921]) ).
fof(f2921,plain,
( spl144_362
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f3884,plain,
( e20 != op2(e23,e21)
| ~ spl144_349 ),
inference(backward_demodulation,[],[f3154,f2807]) ).
fof(f3154,plain,
op2(e23,e21) != h2(e10),
inference(forward_demodulation,[],[f812,f738]) ).
fof(f812,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3879,plain,
( spl144_382
| ~ spl144_139 ),
inference(avatar_split_clause,[],[f3878,f1775,f3109]) ).
fof(f1775,plain,
( spl144_139
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_139])]) ).
fof(f3878,plain,
( e22 = h3(e10)
| ~ spl144_139 ),
inference(forward_demodulation,[],[f1777,f756]) ).
fof(f1777,plain,
( e22 = op2(e22,e22)
| ~ spl144_139 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f3851,plain,
( ~ spl144_152
| ~ spl144_4 ),
inference(avatar_split_clause,[],[f3846,f1183,f1837]) ).
fof(f3846,plain,
( e13 != op1(e11,e13)
| ~ spl144_4 ),
inference(backward_demodulation,[],[f857,f1185]) ).
fof(f857,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3850,plain,
( ~ spl144_55
| ~ spl144_4 ),
inference(avatar_split_clause,[],[f3843,f1183,f1404]) ).
fof(f3843,plain,
( e13 != op1(e11,e12)
| ~ spl144_4 ),
inference(backward_demodulation,[],[f855,f1185]) ).
fof(f855,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3826,plain,
( ~ spl144_410
| ~ spl144_34 ),
inference(avatar_split_clause,[],[f3821,f1309,f3404]) ).
fof(f3821,plain,
( e23 != h4(e10)
| ~ spl144_34 ),
inference(backward_demodulation,[],[f3392,f1311]) ).
fof(f3766,plain,
( ~ spl144_63
| ~ spl144_156 ),
inference(avatar_split_clause,[],[f3761,f1857,f1439]) ).
fof(f1857,plain,
( spl144_156
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f3761,plain,
( e22 != op2(e22,e21)
| ~ spl144_156 ),
inference(backward_demodulation,[],[f802,f1859]) ).
fof(f1859,plain,
( e22 = op2(e22,e20)
| ~ spl144_156 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f802,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3751,plain,
( spl144_66
| spl144_117
| spl144_233
| spl144_110 ),
inference(avatar_split_clause,[],[f621,f1644,f2207,f1674,f1452]) ).
fof(f621,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e10 != op1(e13,op1(e13,e10))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11)) )
| sP65
| sP64
| sP63 )
& ( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e10,e11)
& e10 = op1(e11,e10) )
| 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 )
& ( e11 = op1(e11,e10)
| e10 = op1(e10,e10)
| e13 = op1(e13,e10)
| e12 = op1(e12,e10) )
& ( e11 = op1(e11,e11)
| e12 = op1(e12,e11)
| e13 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e10,e12)
| e11 = op1(e11,e12)
| e12 = op1(e12,e12)
| e13 = op1(e13,e12) )
& ( e11 = op1(e11,e13)
| e12 = op1(e12,e13)
| e13 = op1(e13,e13)
| e10 = op1(e10,e13) ) ),
inference(definition_folding,[],[f10,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,
( ( e10 = op1(e13,e10)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12)
& e10 = op1(e10,e13) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e10 = op1(e10,e12)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e12,e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e10 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e10 = op1(e13,e10)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e10,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e11 = op1(e11,e11) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e11 = op1(e12,e11)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 = op1(e11,e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e13 = op1(e13,e10)
& e10 = op1(e10,e11)
& e13 = op1(e10,e13)
& e10 = op1(e11,e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e12 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e11 = op1(e11,e12)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e11 = op1(e12,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e11 = op1(e11,e13)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e11) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( e12 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e11)
& e12 = op1(e12,e12) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( e12 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e10,e12)
& e10 = op1(e12,e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f40,plain,
( ( e13 = op1(e10,e13)
& e10 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 = op1(e13,e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e10 = op1(e10,e13)
& e13 = op1(e13,e11)
& e10 = op1(e13,e10)
& e13 = op1(e11,e13) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f42,plain,
( ( e13 = op1(e13,e10)
& e12 = op1(e13,e12)
& e13 = op1(e10,e13)
& e12 = op1(e12,e13) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f43,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e11 = op1(e11,e11) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e13 = op1(e13,e11)
& e13 = op1(e13,e13)
& e13 = op1(e11,e13)
& e13 = op1(e13,e13) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e10 = op1(e12,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e12)
& e10 = op1(e10,e10) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e10 = op1(e10,e13)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e13,e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( e12 = op1(e11,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e10 = op1(e10,e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e12,e12) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e13 = op1(e13,e13)
& e12 = op1(e12,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f51,plain,
( ( e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e13)
& e12 = op1(e12,e12)
& e12 = op1(e13,e12) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( e13 = op1(e12,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e12)
& e11 = op1(e11,e13) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e10 = op1(e10,e12)
& e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e12,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( e11 = op1(e11,e12)
& e13 = op1(e13,e11)
& e11 = op1(e12,e11)
& e13 = op1(e11,e13) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f59,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e10,e10)
& e10 = op1(e11,e10)
& e10 = op1(e10,e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f60,plain,
( ( e13 = op1(e13,e10)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e13 = op1(e10,e13) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e11 = op1(e11,e12)
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e12,e11) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e13 = op1(e11,e13)
& e11 = op1(e10,e11)
& e13 = op1(e13,e11)
& e11 = op1(e11,e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( e11 = op1(e13,e11)
& e12 = op1(e11,e12)
& e11 = op1(e11,e13)
& e12 = op1(e12,e11) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e11,e13)
& e11 = op1(e13,e11) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e12 = op1(e12,e11)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e11,e12) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f66,plain,
( ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e10 = op1(e10,e12)
& e10 = op1(e12,e10) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f67,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f70,plain,
( ( e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f71,plain,
( ( e12 = op1(e11,e12)
& e12 = op1(e12,e11)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f73,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f74,plain,
( ( e11 = op1(e11,e12)
& e10 = op1(e11,e10)
& e11 = op1(e12,e11)
& e10 = op1(e10,e11) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f75,plain,
( ( e10 = op1(e10,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 = op1(e13,e10) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f76,plain,
( ( e11 = op1(e11,e10)
& e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( e12 = op1(e12,e10)
& e10 = op1(e10,e13)
& e12 = op1(e10,e12)
& e10 = op1(e13,e10) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e11) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f80,plain,
( ( e12 = op1(e13,e12)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e12 = op1(e12,e13) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f81,plain,
( ( e13 = op1(e12,e13)
& e13 = op1(e13,e12)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f83,plain,
( ( e11 = op1(e12,e11)
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e11,e12) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f84,plain,
( ( e12 != op1(e10,op1(e10,e12))
& e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 != op1(e10,op1(e10,e10)) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f85,plain,
( ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e11 != op1(e12,op1(e12,e11))
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f86,plain,
( ( e11 != op1(e11,op1(e11,e11))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12)) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f10,axiom,
( ( ( e10 != op1(e13,op1(e13,e10))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11)) )
| ( e11 != op1(e11,op1(e11,e11))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12)) )
| ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e11 != op1(e12,op1(e12,e11))
& e12 != op1(e12,op1(e12,e12)) )
| ( e12 != op1(e10,op1(e10,e12))
& e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 != op1(e10,op1(e10,e10)) ) )
& ( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e10,e11)
& e10 = op1(e11,e10) )
| ( e11 = op1(e12,e11)
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e11,e12) )
| ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13) )
| ( e13 = op1(e12,e13)
& e13 = op1(e13,e12)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 = op1(e13,e12)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e12 = op1(e12,e13) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e11) )
| ( e12 = op1(e12,e10)
& e10 = op1(e10,e13)
& e12 = op1(e10,e12)
& e10 = op1(e13,e10) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e11 = op1(e11,e10)
& e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ( e10 = op1(e10,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 = op1(e13,e10) )
| ( e11 = op1(e11,e12)
& e10 = op1(e11,e10)
& e11 = op1(e12,e11)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ( e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e12 = op1(e11,e12)
& e12 = op1(e12,e11)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ( e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e13 = op1(e13,e12)
& e13 = op1(e12,e13) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e10 = op1(e10,e12)
& e10 = op1(e12,e10) )
| ( e12 = op1(e12,e11)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e11,e12) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e11,e13)
& e11 = op1(e13,e11) )
| ( e11 = op1(e13,e11)
& e12 = op1(e11,e12)
& e11 = op1(e11,e13)
& e12 = op1(e12,e11) )
| ( e13 = op1(e11,e13)
& e11 = op1(e10,e11)
& e13 = op1(e13,e11)
& e11 = op1(e11,e10) )
| ( e11 = op1(e11,e12)
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e12,e11) )
| ( e13 = op1(e13,e10)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e13 = op1(e10,e13) )
| ( e10 = op1(e10,e11)
& e10 = op1(e10,e10)
& e10 = op1(e11,e10)
& e10 = op1(e10,e10) )
| ( e11 = op1(e11,e12)
& e13 = op1(e13,e11)
& e11 = op1(e12,e11)
& e13 = op1(e11,e13) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 = op1(e10,e12)
& e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e12,e10) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 = op1(e12,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e12)
& e11 = op1(e11,e13) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e13)
& e12 = op1(e12,e12)
& e12 = op1(e13,e12) )
| ( e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 = op1(e13,e13)
& e12 = op1(e12,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12) )
| ( e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e12,e12) )
| ( e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e10 = op1(e10,e10) )
| ( e12 = op1(e11,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11) )
| ( e10 = op1(e10,e13)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e13,e10) )
| ( e10 = op1(e12,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e12)
& e10 = op1(e10,e10) )
| ( e13 = op1(e13,e11)
& e13 = op1(e13,e13)
& e13 = op1(e11,e13)
& e13 = op1(e13,e13) )
| ( e11 = op1(e11,e11)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13)
& e11 = op1(e11,e11) )
| ( e13 = op1(e13,e10)
& e12 = op1(e13,e12)
& e13 = op1(e10,e13)
& e12 = op1(e12,e13) )
| ( e10 = op1(e10,e13)
& e13 = op1(e13,e11)
& e10 = op1(e13,e10)
& e13 = op1(e11,e13) )
| ( e13 = op1(e10,e13)
& e10 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 = op1(e13,e10) )
| ( e12 = op1(e12,e10)
& e10 = op1(e10,e12)
& e12 = op1(e10,e12)
& e10 = op1(e12,e10) )
| ( e12 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e11)
& e12 = op1(e12,e12) )
| ( e13 = op1(e13,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e11 = op1(e11,e13)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e11) )
| ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 = op1(e11,e12)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& e11 = op1(e12,e11) )
| ( e12 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e13,e11)
& e13 = op1(e11,e13) )
| ( e13 = op1(e13,e10)
& e10 = op1(e10,e11)
& e13 = op1(e10,e13)
& e10 = op1(e11,e10) )
| ( e11 = op1(e12,e11)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 = op1(e11,e12) )
| ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e11 = op1(e11,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 = op1(e13,e10)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e10,e13) )
| ( e10 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e10 = op1(e10,e12)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10)
& e10 = op1(e12,e10) )
| ( e10 = op1(e13,e10)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12)
& e10 = op1(e10,e13) ) )
& ( e11 = op1(e11,e10)
| e10 = op1(e10,e10)
| e13 = op1(e13,e10)
| e12 = op1(e12,e10) )
& ( e11 = op1(e11,e11)
| e12 = op1(e12,e11)
| e13 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e10,e12)
| e11 = op1(e11,e12)
| e12 = op1(e12,e12)
| e13 = op1(e13,e12) )
& ( e11 = op1(e11,e13)
| e12 = op1(e12,e13)
| e13 = op1(e13,e13)
| e10 = op1(e10,e13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f3740,plain,
( spl144_400
| spl144_34
| spl144_221
| spl144_369 ),
inference(avatar_split_clause,[],[f3739,f2966,f2143,f1309,f3272]) ).
fof(f3739,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23)
| e23 = h3(e10) ),
inference(forward_demodulation,[],[f791,f756]) ).
fof(f791,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| op2(e20,e20) = e21
| e21 = op2(e20,e21) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21) )
& ( e21 = op2(e20,e23)
| e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e20,e23) )
& ( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) )
& ( e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e23) )
& ( op2(e20,e20) = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e20) )
& ( e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23) )
& ( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e20) )
& ( e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22) )
& ( e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e21)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e23,e21)
| e23 = op2(e21,e21) )
& ( e20 = op2(e20,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23)
| e20 = op2(e21,e23) )
& ( e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20) )
& ( e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) )
& ( e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22) )
& ( e21 = op2(e21,e20)
| op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22) )
& ( e20 = op2(e21,e21)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22) )
& ( op2(e20,e20) = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3738,plain,
( ~ spl144_435
| ~ spl144_371 ),
inference(avatar_split_clause,[],[f363,f2984,f3735]) ).
fof(f2984,plain,
( spl144_371
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_371])]) ).
fof(f363,plain,
( ~ sP63
| e10 != op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e12 != op1(e10,op1(e10,e12))
& e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 != op1(e10,op1(e10,e10)) )
| ~ sP63 ),
inference(nnf_transformation,[],[f84]) ).
fof(f3720,plain,
( spl144_54
| spl144_385
| spl144_208
| spl144_308 ),
inference(avatar_split_clause,[],[f319,f2574,f2077,f3124,f1399]) ).
fof(f319,plain,
( e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e23 = op2(e22,e22) )
& ( e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e23
| e20 = op2(e20,e20)
| op2(e20,e20) = e21 )
& ( e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23)
| e22 = op2(e20,e23) )
& ( e21 = op2(e22,e20)
| e20 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20) )
& ( e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e21 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f3661,plain,
( spl144_378
| spl144_136
| spl144_83
| spl144_37 ),
inference(avatar_split_clause,[],[f3660,f1323,f1531,f1762,f3038]) ).
fof(f3660,plain,
( e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = h1(e10) ),
inference(forward_demodulation,[],[f768,f349]) ).
fof(f768,plain,
( e20 = op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3618,plain,
( spl144_105
| spl144_327
| spl144_350
| spl144_209 ),
inference(avatar_split_clause,[],[f3617,f2083,f2812,f2705,f1623]) ).
fof(f3617,plain,
( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| e21 = h1(e10) ),
inference(forward_demodulation,[],[f790,f349]) ).
fof(f790,plain,
( e21 = op2(e20,e23)
| op2(e20,e20) = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3600,plain,
( spl144_27
| spl144_31
| spl144_79
| spl144_210 ),
inference(avatar_split_clause,[],[f620,f2089,f1513,f1296,f1278]) ).
fof(f620,plain,
( e11 = op1(e11,e12)
| e10 = op1(e10,e12)
| e12 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f87]) ).
fof(f3590,plain,
spl144_5,
inference(avatar_split_clause,[],[f352,f1188]) ).
fof(f352,plain,
e23 = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f3578,plain,
( spl144_68
| spl144_152
| spl144_160
| spl144_134 ),
inference(avatar_split_clause,[],[f722,f1752,f1875,f1837,f1461]) ).
fof(f722,plain,
( e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e12,e12)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11) )
& ( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| e10 = op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e11 = op1(e13,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| op1(e10,e10) = e13 )
& ( e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e13) )
& ( e11 = op1(e11,e10)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11) )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e11 = op1(e11,e12)
| e11 = op1(e10,e12)
| e11 = op1(e13,e12)
| e11 = op1(e12,e12) )
& ( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12)
| e12 = op1(e11,e12) )
& ( e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e13)
| e12 = op1(e10,e11) )
& ( e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e10) )
& ( e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e10,e13)
| e13 = op1(e13,e13) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13 )
& ( e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10)
| e11 = op1(e12,e11) )
& ( e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11) )
& ( e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e13,e13)
| e10 = op1(e12,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| e11 = op1(e11,e11) )
& ( e11 = op1(e13,e10)
| e11 = op1(e13,e13)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12) )
& ( e11 = op1(e11,e13)
| e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13) )
& ( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e13)
| e12 = op1(e12,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e13) )
& ( e12 = op1(e10,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13)
| e12 = op1(e11,e13) )
& ( e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e10,e11)
| e13 = op1(e13,e11) )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13) )
& ( e12 = op1(e13,e10)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e10 = op1(e10,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e13)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12) )
& ( e13 = op1(e13,e10)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13)
| e13 = op1(e13,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3576,plain,
( spl144_316
| spl144_41
| spl144_105
| spl144_404 ),
inference(avatar_split_clause,[],[f3575,f3342,f1623,f1341,f2617]) ).
fof(f3575,plain,
( e21 = op2(e22,e20)
| e21 = h1(e10)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f764,f349]) ).
fof(f764,plain,
( e21 = op2(e21,e20)
| op2(e20,e20) = e21
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3573,plain,
( ~ spl144_423
| ~ spl144_61 ),
inference(avatar_split_clause,[],[f355,f1430,f3570]) ).
fof(f1430,plain,
( spl144_61
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_61])]) ).
fof(f355,plain,
( ~ sP65
| e12 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e11 != op1(e11,op1(e11,e11))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12)) )
| ~ sP65 ),
inference(nnf_transformation,[],[f86]) ).
fof(f3533,plain,
~ spl144_283,
inference(avatar_split_clause,[],[f3532,f2432]) ).
fof(f2432,plain,
( spl144_283
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_283])]) ).
fof(f3532,plain,
~ sP77,
inference(subsumption_resolution,[],[f632,f737]) ).
fof(f632,plain,
( ~ sP77
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f3519,plain,
( spl144_71
| spl144_310
| spl144_90
| spl144_134 ),
inference(avatar_split_clause,[],[f619,f1752,f1562,f2583,f1475]) ).
fof(f619,plain,
( e13 = op1(e13,e13)
| e11 = op1(e11,e13)
| e10 = op1(e10,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f87]) ).
fof(f3518,plain,
( spl144_83
| spl144_270
| spl144_411
| spl144_362 ),
inference(avatar_split_clause,[],[f3517,f2921,f3423,f2359,f1531]) ).
fof(f3517,plain,
( e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = h4(e10)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f783,f353]) ).
fof(f783,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3515,plain,
( spl144_145
| spl144_123
| spl144_216
| spl144_378 ),
inference(avatar_split_clause,[],[f3514,f3038,f2118,f1702,f1805]) ).
fof(f3514,plain,
( e20 = h1(e10)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f789,f349]) ).
fof(f789,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3509,plain,
( spl144_316
| spl144_220
| spl144_37
| spl144_157 ),
inference(avatar_split_clause,[],[f327,f1861,f1323,f2139,f2617]) ).
fof(f327,plain,
( e22 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3506,plain,
( ~ spl144_349
| ~ spl144_224 ),
inference(avatar_split_clause,[],[f636,f2158,f2805]) ).
fof(f2158,plain,
( spl144_224
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f636,plain,
( ~ sP76
| e20 != h2(e10) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f3488,plain,
spl144_278,
inference(avatar_split_clause,[],[f3487,f2412]) ).
fof(f3487,plain,
e23 = h2(e13),
inference(forward_demodulation,[],[f3486,f3364]) ).
fof(f3486,plain,
e23 = op2(h2(e10),e21),
inference(forward_demodulation,[],[f703,f738]) ).
fof(f703,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e20 = op2(e21,e21)
& e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f3470,plain,
( spl144_299
| spl144_209
| spl144_226
| spl144_40 ),
inference(avatar_split_clause,[],[f3469,f1337,f2168,f2083,f2521]) ).
fof(f3469,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = h2(e10) ),
inference(forward_demodulation,[],[f767,f738]) ).
fof(f767,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3446,plain,
( spl144_219
| spl144_156
| spl144_316
| spl144_378 ),
inference(avatar_split_clause,[],[f3445,f3038,f2617,f1857,f2133]) ).
fof(f3445,plain,
( e20 = h1(e10)
| e21 = op2(e21,e20)
| e22 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f1162,f349]) ).
fof(f1162,plain,
( e21 = op2(e21,e20)
| e20 = op2(e20,e20)
| e23 = op2(e23,e20)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e20 = op2(e20,e21)
| e21 = op2(e21,e21)
| e22 = op2(e22,e21)
| e23 = op2(e23,e21) )
& ( e20 = op2(e20,e23)
| e23 = op2(e23,e23)
| e22 = op2(e22,e23)
| e21 = op2(e21,e23) )
& ( ( e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23))
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22)) )
| sP143
| sP142
| sP141 )
& ( e22 = op2(e22,e22)
| e21 = op2(e21,e22)
| e23 = op2(e23,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e20,e20)
| e21 = op2(e21,e20)
| e22 = op2(e22,e20)
| e23 = op2(e23,e20) )
& ( ( e20 = op2(e22,e20)
& e21 = op2(e21,e20)
& e20 = op2(e20,e22)
& e21 = op2(e20,e21) )
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| 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 ) ),
inference(definition_folding,[],[f11,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,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]) ).
fof(f101,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f102,plain,
( ( e21 = op2(e21,e23)
& e21 = op2(e21,e21)
& e21 = op2(e23,e21)
& e21 = op2(e21,e21) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f103,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e20) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f104,plain,
( ( e21 = op2(e23,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e23)
& e22 = op2(e21,e22) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f105,plain,
( ( e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e23 = op2(e23,e23) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f106,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f107,plain,
( ( e23 = op2(e23,e22)
& e21 = op2(e23,e21)
& e23 = op2(e22,e23)
& e21 = op2(e21,e23) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f108,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f109,plain,
( ( e22 = op2(e22,e23)
& e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 = op2(e23,e22) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f110,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f111,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e21,e20) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f112,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e23,e23)
& e23 = op2(e21,e23)
& e23 = op2(e23,e23) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f113,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f114,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f115,plain,
( ( e20 = op2(e20,e22)
& e23 = op2(e20,e23)
& e20 = op2(e22,e20)
& e23 = op2(e23,e20) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f116,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e21) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f117,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f118,plain,
( ( e21 = op2(e21,e22)
& e22 = op2(e22,e23)
& e21 = op2(e22,e21)
& e22 = op2(e23,e22) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f119,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f120,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f121,plain,
( ( e22 = op2(e21,e22)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e22,e21) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f122,plain,
( ( e20 = op2(e20,e22)
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f123,plain,
( ( e20 = op2(e20,e22)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e20 = op2(e22,e20) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f124,plain,
( ( e22 = op2(e22,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e23) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f125,plain,
( ( e23 = op2(e22,e23)
& e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e22) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f126,plain,
( ( e23 = op2(e23,e21)
& e21 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 = op2(e21,e23) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f127,plain,
( ( e23 = op2(e20,e23)
& e21 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e21,e23) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f128,plain,
( ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e21,e23)
& e21 = op2(e23,e21) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f129,plain,
( ( e22 = op2(e22,e23)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e23,e22) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f130,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e21,e21)
& e21 = op2(e22,e21)
& e21 = op2(e21,e21) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f131,plain,
( ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f132,plain,
( ( e22 = op2(e20,e22)
& e23 = op2(e22,e23)
& e22 = op2(e22,e20)
& e23 = op2(e23,e22) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f133,plain,
( ( e23 = op2(e20,e23)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e23,e20) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f134,plain,
( ( e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f135,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e21)
& e22 = op2(e22,e22)
& e22 = op2(e21,e22) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f136,plain,
( ( e23 = op2(e23,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e21 = op2(e21,e21) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f137,plain,
( ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f138,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f139,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e20)
& e23 = op2(e20,e23) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f140,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f141,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e23) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f142,plain,
( ( e20 = op2(e23,e20)
& e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e20,e23) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f143,plain,
( ( e21 = op2(e21,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f144,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f145,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f146,plain,
( ( e21 = op2(e23,e21)
& e23 = op2(e23,e23)
& e21 = op2(e21,e23)
& e23 = op2(e23,e23) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f147,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f148,plain,
( ( e21 = op2(e22,e21)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e21,e22) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f149,plain,
( ( e23 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f150,plain,
( ( e20 = op2(e20,e21)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e20 = op2(e21,e20) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f151,plain,
( ( e21 = op2(e21,e20)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e20,e21) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f152,plain,
( ( e21 = op2(e21,e22)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e22,e21) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f153,plain,
( ( e22 = op2(e22,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e22 = op2(e23,e22) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f154,plain,
( ( e21 = op2(e22,e21)
& e20 = op2(e20,e21)
& e21 = op2(e21,e22)
& e20 = op2(e21,e20) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f155,plain,
( ( e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e22 = op2(e22,e20)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22)
& e22 = op2(e20,e22) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e22,e21)
& e22 = op2(e21,e22) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e22 = op2(e21,e22)
& e21 = op2(e20,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e20) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e20 = op2(e20,e23)
& e22 = op2(e20,e22)
& e20 = op2(e23,e20)
& e22 = op2(e22,e20) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e20 = op2(e20,e23)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e23,e20) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e23 = op2(e22,e23)
& e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e23 = op2(e23,e22) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e21 = op2(e21,e21)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e21,e21) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f164,plain,
( ( e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21)) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f11,axiom,
( ( e20 = op2(e20,e21)
| e21 = op2(e21,e21)
| e22 = op2(e22,e21)
| e23 = op2(e23,e21) )
& ( e20 = op2(e20,e23)
| e23 = op2(e23,e23)
| e22 = op2(e22,e23)
| e21 = op2(e21,e23) )
& ( ( e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23))
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22)) )
| ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21)) )
| ( e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ( e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) ) )
& ( e22 = op2(e22,e22)
| e21 = op2(e21,e22)
| e23 = op2(e23,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e20,e20)
| e21 = op2(e21,e20)
| e22 = op2(e22,e20)
| e23 = op2(e23,e20) )
& ( ( e20 = op2(e22,e20)
& e21 = op2(e21,e20)
& e20 = op2(e20,e22)
& e21 = op2(e20,e21) )
| ( e21 = op2(e21,e21)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e21,e21) )
| ( e23 = op2(e22,e23)
& e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e23 = op2(e23,e22) )
| ( e20 = op2(e20,e23)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e23,e20) )
| ( e20 = op2(e20,e23)
& e22 = op2(e20,e22)
& e20 = op2(e23,e20)
& e22 = op2(e22,e20) )
| ( e22 = op2(e21,e22)
& e21 = op2(e20,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e20) )
| ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e22,e21)
& e22 = op2(e21,e22) )
| ( e22 = op2(e22,e20)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22)
& e22 = op2(e20,e22) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e21 = op2(e22,e21)
& e20 = op2(e20,e21)
& e21 = op2(e21,e22)
& e20 = op2(e21,e20) )
| ( e22 = op2(e22,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22)
& e22 = op2(e23,e22) )
| ( e21 = op2(e21,e22)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e22,e21) )
| ( e21 = op2(e21,e20)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e20,e21) )
| ( e20 = op2(e20,e21)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e20 = op2(e21,e20) )
| ( e23 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23) )
| ( e21 = op2(e22,e21)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e21,e22) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e21 = op2(e23,e21)
& e23 = op2(e23,e23)
& e21 = op2(e21,e23)
& e23 = op2(e23,e23) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 = op2(e21,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22) )
| ( e20 = op2(e23,e20)
& e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e20,e23) )
| ( e20 = op2(e20,e20)
& e20 = op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e23) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e20)
& e23 = op2(e20,e23) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 = op2(e23,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e21 = op2(e21,e21) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e21)
& e22 = op2(e22,e22)
& e22 = op2(e21,e22) )
| ( e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 = op2(e20,e23)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e23,e20) )
| ( e22 = op2(e20,e22)
& e23 = op2(e22,e23)
& e22 = op2(e22,e20)
& e23 = op2(e23,e22) )
| ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e21 = op2(e21,e22)
& e21 = op2(e21,e21)
& e21 = op2(e22,e21)
& e21 = op2(e21,e21) )
| ( e22 = op2(e22,e23)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e23,e22) )
| ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e21 = op2(e21,e23)
& e21 = op2(e23,e21) )
| ( e23 = op2(e20,e23)
& e21 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e21,e23) )
| ( e23 = op2(e23,e21)
& e21 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 = op2(e21,e23) )
| ( e23 = op2(e22,e23)
& e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e22) )
| ( e22 = op2(e22,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e23 = op2(e23,e23) )
| ( e20 = op2(e20,e22)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e20 = op2(e22,e20) )
| ( e20 = op2(e20,e22)
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ( e22 = op2(e21,e22)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e22,e21) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 = op2(e21,e22)
& e22 = op2(e22,e23)
& e21 = op2(e22,e21)
& e22 = op2(e23,e22) )
| ( e23 = op2(e23,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e21) )
| ( e20 = op2(e20,e22)
& e23 = op2(e20,e23)
& e20 = op2(e22,e20)
& e23 = op2(e23,e20) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e20,e22)
& e20 = op2(e22,e20) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 = op2(e23,e21)
& e23 = op2(e23,e23)
& e23 = op2(e21,e23)
& e23 = op2(e23,e23) )
| ( e20 = op2(e20,e21)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e21,e20) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 = op2(e22,e23)
& e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 = op2(e23,e22) )
| ( e23 = op2(e23,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e23 = op2(e23,e22)
& e21 = op2(e23,e21)
& e23 = op2(e22,e23)
& e21 = op2(e21,e23) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e23 = op2(e23,e23) )
| ( e21 = op2(e23,e21)
& e22 = op2(e22,e21)
& e21 = op2(e21,e23)
& e22 = op2(e21,e22) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e20) )
| ( e21 = op2(e21,e23)
& e21 = op2(e21,e21)
& e21 = op2(e23,e21)
& e21 = op2(e21,e21) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f3443,plain,
( ~ spl144_49
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f901,f3440,f1377]) ).
fof(f1377,plain,
( spl144_49
<=> sP142 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_49])]) ).
fof(f901,plain,
( e21 != op2(e23,op2(e23,e21))
| ~ sP142 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ~ sP142 ),
inference(nnf_transformation,[],[f165]) ).
fof(f3436,plain,
( spl144_299
| spl144_145
| spl144_355
| spl144_63 ),
inference(avatar_split_clause,[],[f3435,f1439,f2853,f1805,f2521]) ).
fof(f3435,plain,
( e22 = op2(e22,e21)
| e23 = op2(e23,e21)
| e20 = op2(e20,e21)
| e21 = h2(e10) ),
inference(forward_demodulation,[],[f1169,f738]) ).
fof(f1169,plain,
( e23 = op2(e23,e21)
| e21 = op2(e21,e21)
| e22 = op2(e22,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f167]) ).
fof(f3426,plain,
( spl144_411
| spl144_42
| spl144_25
| spl144_215 ),
inference(avatar_split_clause,[],[f312,f2113,f1269,f1345,f3423]) ).
fof(f312,plain,
( e22 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3411,plain,
( spl144_110
| spl144_115
| spl144_273
| spl144_306 ),
inference(avatar_split_clause,[],[f754,f2563,f2374,f1665,f1644]) ).
fof(f754,plain,
( e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e11 = op1(e11,e13)
| e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) )
& ( e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e12,e10)
| e10 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e12 = op1(e12,e12)
| e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e11 = op1(e13,e10) )
& ( e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e10,e10) = e12 )
& ( e10 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e11 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3374,plain,
( spl144_49
| ~ spl144_406
| spl144_77
| spl144_214 ),
inference(avatar_split_clause,[],[f3369,f2107,f1503,f3371,f1377]) ).
fof(f1503,plain,
( spl144_77
<=> sP141 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_77])]) ).
fof(f2107,plain,
( spl144_214
<=> sP143 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_214])]) ).
fof(f3369,plain,
( sP143
| sP141
| e20 != op2(e20,h1(e10))
| sP142 ),
inference(forward_demodulation,[],[f1165,f349]) ).
fof(f1165,plain,
( sP143
| sP141
| e20 != op2(e20,op2(e20,e20))
| sP142 ),
inference(cnf_transformation,[],[f167]) ).
fof(f3362,plain,
( spl144_348
| spl144_371
| spl144_61
| ~ spl144_405 ),
inference(avatar_split_clause,[],[f627,f3359,f1430,f2984,f2796]) ).
fof(f2796,plain,
( spl144_348
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_348])]) ).
fof(f627,plain,
( e11 != op1(e13,op1(e13,e11))
| sP65
| sP63
| sP64 ),
inference(cnf_transformation,[],[f87]) ).
fof(f3314,plain,
( spl144_295
| spl144_129
| spl144_58
| spl144_365 ),
inference(avatar_split_clause,[],[f743,f2934,f1417,f1729,f2494]) ).
fof(f743,plain,
( op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f3275,plain,
( spl144_396
| spl144_25
| spl144_84
| spl144_400 ),
inference(avatar_split_clause,[],[f3270,f3272,f1536,f1269,f3203]) ).
fof(f3270,plain,
( e23 = h3(e10)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22)
| e23 = op2(e20,e22) ),
inference(forward_demodulation,[],[f785,f756]) ).
fof(f785,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3226,plain,
( spl144_90
| spl144_397
| spl144_302
| spl144_152 ),
inference(avatar_split_clause,[],[f755,f1837,f2536,f3223,f1562]) ).
fof(f755,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3206,plain,
( spl144_396
| spl144_294
| spl144_350
| spl144_216 ),
inference(avatar_split_clause,[],[f324,f2118,f2812,f2477,f3203]) ).
fof(f324,plain,
( e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3157,plain,
( spl144_90
| spl144_304
| spl144_358
| spl144_130 ),
inference(avatar_split_clause,[],[f714,f1733,f2885,f2550,f1562]) ).
fof(f714,plain,
( e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3127,plain,
( spl144_319
| spl144_123
| spl144_384
| spl144_385 ),
inference(avatar_split_clause,[],[f769,f3124,f3120,f1702,f2645]) ).
fof(f769,plain,
( e20 = op2(e21,e23)
| e20 = op2(e23,e23)
| e20 = op2(e20,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3098,plain,
spl144_349,
inference(avatar_split_clause,[],[f3097,f2805]) ).
fof(f3097,plain,
e20 = h2(e10),
inference(forward_demodulation,[],[f702,f738]) ).
fof(f702,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f2913,plain,
( spl144_294
| spl144_215
| spl144_139
| spl144_86 ),
inference(avatar_split_clause,[],[f776,f1544,f1775,f2113,f2477]) ).
fof(f776,plain,
( e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2900,plain,
( spl144_294
| spl144_359
| spl144_46
| spl144_309 ),
inference(avatar_split_clause,[],[f778,f2578,f1362,f2897,f2477]) ).
fof(f778,plain,
( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2888,plain,
( spl144_352
| spl144_68
| spl144_358
| spl144_71 ),
inference(avatar_split_clause,[],[f753,f1475,f2885,f1461,f2825]) ).
fof(f753,plain,
( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e13 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2875,plain,
spl144_162,
inference(avatar_split_clause,[],[f2874,f1885]) ).
fof(f2874,plain,
e22 = h2(e12),
inference(forward_demodulation,[],[f2873,f2194]) ).
fof(f2873,plain,
e22 = op2(op2(h2(e10),e21),h2(e10)),
inference(forward_demodulation,[],[f701,f738]) ).
fof(f701,plain,
e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f2856,plain,
( spl144_153
| spl144_25
| spl144_355
| spl144_219 ),
inference(avatar_split_clause,[],[f777,f2133,f2853,f1269,f1842]) ).
fof(f777,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2836,plain,
spl144_116,
inference(avatar_split_clause,[],[f346,f1669]) ).
fof(f346,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f2799,plain,
( ~ spl144_347
| ~ spl144_348 ),
inference(avatar_split_clause,[],[f361,f2796,f2792]) ).
fof(f361,plain,
( ~ sP64
| e13 != op1(e12,op1(e12,e13)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e11 != op1(e12,op1(e12,e11))
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP64 ),
inference(nnf_transformation,[],[f85]) ).
fof(f2693,plain,
( spl144_146
| spl144_127
| spl144_79
| spl144_57 ),
inference(avatar_split_clause,[],[f740,f1412,f1513,f1721,f1810]) ).
fof(f740,plain,
( e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2654,plain,
( spl144_157
| spl144_86
| spl144_308
| spl144_320 ),
inference(avatar_split_clause,[],[f2649,f2651,f2574,f1544,f1861]) ).
fof(f2649,plain,
( e22 = h2(e10)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f765,f738]) ).
fof(f765,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2648,plain,
( spl144_30
| spl144_34
| spl144_318
| spl144_319 ),
inference(avatar_split_clause,[],[f322,f2645,f2641,f1309,f1291]) ).
fof(f322,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e23 = op2(e22,e23)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2638,plain,
( spl144_25
| spl144_139
| spl144_85
| spl144_216 ),
inference(avatar_split_clause,[],[f1163,f2118,f1540,f1775,f1269]) ).
fof(f1163,plain,
( e20 = op2(e20,e22)
| e21 = op2(e21,e22)
| e22 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f167]) ).
fof(f2625,plain,
( spl144_30
| spl144_153
| spl144_208
| spl144_123 ),
inference(avatar_split_clause,[],[f1168,f1702,f2077,f1842,f1291]) ).
fof(f1168,plain,
( e20 = op2(e20,e23)
| e21 = op2(e21,e23)
| e23 = op2(e23,e23)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f167]) ).
fof(f2600,plain,
( spl144_303
| spl144_122
| spl144_115
| spl144_312 ),
inference(avatar_split_clause,[],[f708,f2597,f1665,f1697,f2546]) ).
fof(f708,plain,
( e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2591,plain,
( spl144_311
| spl144_55
| spl144_210
| spl144_275 ),
inference(avatar_split_clause,[],[f742,f2397,f2089,f1404,f2588]) ).
fof(f742,plain,
( e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2530,plain,
( ~ spl144_214
| ~ spl144_300 ),
inference(avatar_split_clause,[],[f895,f2527,f2107]) ).
fof(f895,plain,
( e22 != op2(e21,op2(e21,e22))
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21)) )
| ~ sP143 ),
inference(nnf_transformation,[],[f166]) ).
fof(f2497,plain,
( spl144_149
| spl144_295
| spl144_4
| spl144_60 ),
inference(avatar_split_clause,[],[f731,f1425,f1183,f2494,f1824]) ).
fof(f731,plain,
( e13 = op1(e13,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2475,plain,
( ~ spl144_276
| ~ spl144_277
| ~ spl144_278
| ~ spl144_279
| ~ spl144_280
| ~ spl144_281
| ~ spl144_282
| spl144_283
| spl144_125
| ~ spl144_284
| spl144_224
| ~ spl144_285
| ~ spl144_286
| ~ spl144_287
| ~ spl144_288
| ~ spl144_289
| ~ spl144_290
| ~ spl144_291
| ~ spl144_292
| ~ spl144_293 ),
inference(avatar_split_clause,[],[f694,f2472,f2468,f2464,f2460,f2456,f2452,f2448,f2444,f2440,f2158,f2436,f1712,f2432,f2428,f2424,f2420,f2416,f2412,f2408,f2404]) ).
fof(f1712,plain,
( spl144_125
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_125])]) ).
fof(f694,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP76
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP75
| sP77
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| e23 != h2(e13)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP77
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP76
| sP75
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| sP74
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP73
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP72 )
& ( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| sP71
| 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(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP70
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP69
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) )
& ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| sP68
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| sP67
| sP66
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ) ),
inference(definition_folding,[],[f20,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88]) ).
fof(f88,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e10) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e13) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e11) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e12) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e10) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e12) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f20,plain,
( ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e12) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e10) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e12) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e13)
& e20 != h1(e11) ) )
& ( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| 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(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e11) )
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e13) )
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) )
& ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e10) )
| ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e13) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e10) ) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) )
| ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e12)
| e22 = h3(e10) )
& ( e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) ) )
| ( ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e13) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e10) ) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) )
| ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e12)
| e22 = h3(e10) )
& ( e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) ) )
| ( ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1888,plain,
( ~ spl144_162
| ~ spl144_125 ),
inference(avatar_split_clause,[],[f639,f1712,f1885]) ).
fof(f639,plain,
( ~ sP75
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e12) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f1831,plain,
( spl144_148
| spl144_149
| spl144_150
| spl144_59 ),
inference(avatar_split_clause,[],[f748,f1421,f1828,f1824,f1820]) ).
fof(f748,plain,
( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1760,plain,
( ~ spl144_135
| ~ spl144_77 ),
inference(avatar_split_clause,[],[f904,f1503,f1757]) ).
fof(f904,plain,
( ~ sP141
| e23 != op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) )
| ~ sP141 ),
inference(nnf_transformation,[],[f164]) ).
fof(f1551,plain,
( spl144_84
| spl144_85
| spl144_86
| spl144_87 ),
inference(avatar_split_clause,[],[f317,f1548,f1544,f1540,f1536]) ).
fof(f317,plain,
( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1428,plain,
( spl144_58
| spl144_2
| spl144_59
| spl144_60 ),
inference(avatar_split_clause,[],[f622,f1425,f1421,f1175,f1417]) ).
fof(f622,plain,
( e13 = op1(e13,e10)
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1415,plain,
( spl144_55
| spl144_56
| spl144_57
| spl144_27 ),
inference(avatar_split_clause,[],[f726,f1278,f1412,f1408,f1404]) ).
fof(f726,plain,
( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG118+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 15:22:11 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ipcrm: permission denied for id (299565057)
% 0.95/0.60 % (3443)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 (2998ds/99Mi)
% 0.95/0.60 % (3442)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 (2998ds/75Mi)
% 0.95/0.60 % (3433)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.29/0.60 % (3435)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.29/0.60 % (3445)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.29/0.60 % (3434)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.29/0.61 % (3450)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 (2998ds/467Mi)
% 1.29/0.62 % (3451)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.29/0.62 % (3435)Instruction limit reached!
% 1.29/0.62 % (3435)------------------------------
% 1.29/0.62 % (3435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62 % (3435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62 % (3435)Termination reason: Unknown
% 1.29/0.62 % (3435)Termination phase: Preprocessing 2
% 1.29/0.62
% 1.29/0.62 % (3435)Memory used [KB]: 1023
% 1.29/0.62 % (3435)Time elapsed: 0.004 s
% 1.29/0.62 % (3435)Instructions burned: 3 (million)
% 1.29/0.62 % (3435)------------------------------
% 1.29/0.62 % (3435)------------------------------
% 1.29/0.62 % (3449)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 (2998ds/498Mi)
% 1.29/0.62 % (3437)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.29/0.62 % (3434)Instruction limit reached!
% 1.29/0.62 % (3434)------------------------------
% 1.29/0.62 % (3434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62 % (3434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62 % (3434)Termination reason: Unknown
% 1.29/0.62 % (3434)Termination phase: Preprocessing 3
% 1.29/0.62
% 1.29/0.62 % (3434)Memory used [KB]: 1279
% 1.29/0.62 % (3434)Time elapsed: 0.006 s
% 1.29/0.62 % (3434)Instructions burned: 7 (million)
% 1.29/0.62 % (3434)------------------------------
% 1.29/0.62 % (3434)------------------------------
% 1.29/0.63 % (3441)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 (2998ds/68Mi)
% 1.29/0.63 % (3453)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 (2998ds/68Mi)
% 1.29/0.65 % (3432)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 (2998ds/48Mi)
% 1.29/0.65 % (3430)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.29/0.66 % (3448)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.29/0.66 % (3454)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 (2998ds/177Mi)
% 1.78/0.67 % (3440)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.78/0.67 % (3438)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.78/0.67 % (3433)Instruction limit reached!
% 1.78/0.67 % (3433)------------------------------
% 1.78/0.67 % (3433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.67 % (3456)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 (2998ds/355Mi)
% 1.78/0.67 % (3446)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 (2998ds/100Mi)
% 1.78/0.68 % (3444)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.78/0.68 % (3433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.68 % (3433)Termination reason: Unknown
% 1.78/0.68 % (3433)Termination phase: Finite model building preprocessing
% 1.78/0.68
% 1.78/0.68 % (3433)Memory used [KB]: 2558
% 1.78/0.68 % (3433)Time elapsed: 0.029 s
% 1.78/0.68 % (3433)Instructions burned: 51 (million)
% 1.78/0.68 % (3433)------------------------------
% 1.78/0.68 % (3433)------------------------------
% 1.78/0.68 % (3452)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.78/0.70 % (3436)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 (2998ds/51Mi)
% 1.78/0.70 % (3437)Instruction limit reached!
% 1.78/0.70 % (3437)------------------------------
% 1.78/0.70 % (3437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.70 % (3437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.70 % (3437)Termination reason: Unknown
% 1.78/0.70 % (3437)Termination phase: Saturation
% 1.78/0.70
% 1.78/0.70 % (3437)Memory used [KB]: 7419
% 1.78/0.70 % (3437)Time elapsed: 0.036 s
% 1.78/0.70 % (3437)Instructions burned: 50 (million)
% 1.78/0.70 % (3437)------------------------------
% 1.78/0.70 % (3437)------------------------------
% 1.78/0.71 % (3429)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 (2998ds/37Mi)
% 1.78/0.72 % (3453)Instruction limit reached!
% 1.78/0.72 % (3453)------------------------------
% 1.78/0.72 % (3453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.73 % (3453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.73 % (3453)Termination reason: Unknown
% 1.78/0.73 % (3453)Termination phase: Saturation
% 1.78/0.73
% 1.78/0.73 % (3453)Memory used [KB]: 7419
% 1.78/0.73 % (3453)Time elapsed: 0.055 s
% 1.78/0.73 % (3453)Instructions burned: 68 (million)
% 1.78/0.73 % (3453)------------------------------
% 1.78/0.73 % (3453)------------------------------
% 1.78/0.73 % (3442)Instruction limit reached!
% 1.78/0.73 % (3442)------------------------------
% 1.78/0.73 % (3442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.73 % (3442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.73 % (3442)Termination reason: Unknown
% 1.78/0.73 % (3442)Termination phase: Saturation
% 1.78/0.73
% 1.78/0.73 % (3442)Memory used [KB]: 1918
% 1.78/0.73 % (3442)Time elapsed: 0.066 s
% 1.78/0.73 % (3442)Instructions burned: 76 (million)
% 1.78/0.73 % (3442)------------------------------
% 1.78/0.73 % (3442)------------------------------
% 1.78/0.73 % (3441)Instruction limit reached!
% 1.78/0.73 % (3441)------------------------------
% 1.78/0.73 % (3441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.73 % (3441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.73 % (3441)Termination reason: Unknown
% 1.78/0.73 % (3441)Termination phase: Saturation
% 1.78/0.73
% 1.78/0.73 % (3441)Memory used [KB]: 7547
% 1.78/0.73 % (3441)Time elapsed: 0.055 s
% 1.78/0.73 % (3441)Instructions burned: 69 (million)
% 1.78/0.73 % (3441)------------------------------
% 1.78/0.73 % (3441)------------------------------
% 1.78/0.74 % (3430)Instruction limit reached!
% 1.78/0.74 % (3430)------------------------------
% 1.78/0.74 % (3430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.74 % (3430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.74 % (3430)Termination reason: Unknown
% 1.78/0.74 % (3430)Termination phase: 3430 Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/0.74 % (3430)------------------------------
% 1.78/0.74 % (3430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.74 % (3430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.74 % (3430)Termination reason: Unknown
% 1.78/0.74 % (3432)Instruction limit reached!
% 1.78/0.74 % (3432)------------------------------
% 1.78/0.74 % (3432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.74 % (3432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.74 % (3432)Termination reason: Unknown
% 1.78/0.74 % (3432)Termination phase: Saturation
% 1.78/0.74
% 1.78/0.74 % (3432)Memory used [KB]: 7675
% 1.78/0.74 % (3432)Time elapsed: 0.239 s
% 1.78/0.74 % (3432)Instructions burned: 48 (million)
% 1.78/0.74 % (3432)------------------------------
% 1.78/0.74 % (3432)------------------------------
% 1.78/0.74 % (3445)Instruction limit reached!
% 1.78/0.74 % (3445)------------------------------
% 1.78/0.74 % (3445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.74 % (3445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.74 % (3445)Termination reason: Unknown
% 1.78/0.74 % (3445)Termination phase: Saturation
% 1.78/0.74
% 1.78/0.74 % (3445)Memory used [KB]: 8059
% 1.78/0.74 % (3445)Time elapsed: 0.081 s
% 1.78/0.74 % (3445)Instructions burned: 100 (million)
% 1.78/0.74 % (3445)------------------------------
% 1.78/0.74 % (3445)------------------------------
% 1.78/0.75 % (3427)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 (2998ds/191324Mi)
% 1.78/0.76 % (3428)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 2.45/0.77 % (3443)Instruction limit reached!
% 2.45/0.77 % (3443)------------------------------
% 2.45/0.77 % (3443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.77 % (3443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.77 % (3443)Termination reason: Unknown
% 2.45/0.77 % (3443)Termination phase: Saturation
% 2.45/0.77
% 2.45/0.77 % (3443)Memory used [KB]: 7803
% 2.45/0.77 % (3443)Time elapsed: 0.247 s
% 2.45/0.77 % (3443)Instructions burned: 99 (million)
% 2.45/0.77 % (3443)------------------------------
% 2.45/0.77 % (3443)------------------------------
% 2.45/0.77 % (3455)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 2.45/0.77 % (3457)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.45/0.78 % (3439)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 2.60/0.80 % (3429)Instruction limit reached!
% 2.60/0.80 % (3429)------------------------------
% 2.60/0.80 % (3429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.80 % (3429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.80 % (3429)Termination reason: Unknown
% 2.60/0.80 % (3429)Termination phase: Saturation
% 2.60/0.80
% 2.60/0.80 % (3429)Memory used [KB]: 1535
% 2.60/0.80 % (3429)Time elapsed: 0.025 s
% 2.60/0.80 % (3429)Instructions burned: 37 (million)
% 2.60/0.80 % (3429)------------------------------
% 2.60/0.80 % (3429)------------------------------
% 2.60/0.80 % (3447)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 (2998ds/176Mi)
% 2.60/0.80 % (3458)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.60/0.81 % (3436)Instruction limit reached!
% 2.60/0.81 % (3436)------------------------------
% 2.60/0.81 % (3436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.81 % (3436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.81 % (3436)Termination reason: Unknown
% 2.60/0.81 % (3436)Termination phase: Saturation
% 2.60/0.81
% 2.60/0.81 % (3436)Memory used [KB]: 1663
% 2.60/0.81 % (3436)Time elapsed: 0.034 s
% 2.60/0.81 % (3436)Instructions burned: 51 (million)
% 2.60/0.81 % (3436)------------------------------
% 2.60/0.81 % (3436)------------------------------
% 2.60/0.82 % (3431)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 2.75/0.84 % (3450)First to succeed.
% 2.75/0.84 % (3462)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.75/0.87 % (3444)Instruction limit reached!
% 2.75/0.87 % (3444)------------------------------
% 2.75/0.87 % (3444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.87 % (3444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.87 % (3444)Termination reason: Unknown
% 2.75/0.87 % (3444)Termination phase: Blocked clause elimination
% 2.75/0.87
% 2.75/0.87 % (3444)Memory used [KB]: 1535
% 2.75/0.87 % (3444)Time elapsed: 0.046 s
% 2.75/0.87 % (3444)Instructions burned: 59 (million)
% 2.75/0.87 % (3444)------------------------------
% 2.75/0.87 % (3444)------------------------------
% 2.75/0.87 % (3440)Instruction limit reached!
% 2.75/0.87 % (3440)------------------------------
% 2.75/0.87 % (3440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.87 % (3440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.87 % (3440)Termination reason: Unknown
% 2.75/0.87 % (3440)Termination phase: Saturation
% 2.75/0.87
% 2.75/0.87 % (3440)Memory used [KB]: 8059
% 2.75/0.87 % (3440)Time elapsed: 0.343 s
% 2.75/0.87 % (3440)Instructions burned: 99 (million)
% 2.75/0.87 % (3440)------------------------------
% 2.75/0.87 % (3440)------------------------------
% 2.75/0.87 % (3438)Instruction limit reached!
% 2.75/0.87 % (3438)------------------------------
% 2.75/0.87 % (3438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.87 % (3438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.87 % (3438)Termination reason: Unknown
% 2.75/0.87 % (3438)Termination phase: Saturation
% 2.75/0.87
% 2.75/0.87 % (3438)Memory used [KB]: 8187
% 2.75/0.87 % (3438)Time elapsed: 0.059 s
% 2.75/0.87 % (3438)Instructions burned: 100 (million)
% 2.75/0.87 % (3438)------------------------------
% 2.75/0.87 % (3438)------------------------------
% 2.75/0.87 % (3465)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 2.75/0.87 % (3459)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)
% 2.75/0.90 % (3450)Refutation found. Thanks to Tanya!
% 2.75/0.90 % SZS status Theorem for theBenchmark
% 2.75/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.04/0.90 % (3450)------------------------------
% 3.04/0.90 % (3450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.90 % (3450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.90 % (3450)Termination reason: Refutation
% 3.04/0.90
% 3.04/0.90 % (3450)Memory used [KB]: 9210
% 3.04/0.90 % (3450)Time elapsed: 0.123 s
% 3.04/0.90 % (3450)Instructions burned: 123 (million)
% 3.04/0.90 % (3450)------------------------------
% 3.04/0.90 % (3450)------------------------------
% 3.04/0.90 % (3291)Success in time 0.563 s
%------------------------------------------------------------------------------