TSTP Solution File: ALG057+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 04:06:20 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 223
% Syntax : Number of formulae : 923 ( 135 unt; 0 def)
% Number of atoms : 3159 (1656 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3651 (1415 ~;1528 |; 568 &)
% ( 140 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 218 ( 216 usr; 175 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7085,plain,
$false,
inference(avatar_sat_refutation,[],[f837,f856,f880,f894,f918,f942,f956,f975,f999,f1013,f1027,f1056,f1070,f1094,f1108,f1127,f1146,f1170,f1189,f1198,f1227,f1246,f1255,f1284,f1293,f1307,f1354,f1363,f1410,f1419,f1439,f1452,f1598,f1734,f1743,f1800,f1844,f1882,f1897,f1916,f1967,f2031,f2069,f2095,f2134,f2147,f2175,f2286,f2310,f2345,f2349,f2389,f2390,f2395,f2488,f2651,f2756,f2776,f2822,f2845,f2846,f2847,f2850,f2853,f3040,f3132,f3139,f3165,f3166,f3167,f3170,f3171,f3251,f3374,f3472,f3593,f3677,f3711,f3716,f3722,f3735,f3865,f3876,f3896,f3963,f3970,f4009,f4012,f4038,f4069,f4092,f4109,f4136,f4144,f4162,f4163,f4190,f4266,f4311,f4314,f4347,f4388,f4425,f4443,f4604,f4653,f4670,f4674,f4767,f4776,f4777,f4896,f4939,f4943,f4954,f5073,f5136,f5146,f5242,f5247,f5273,f5281,f5283,f5346,f5374,f5388,f5390,f5423,f5469,f5578,f5590,f5612,f5785,f5792,f5796,f5882,f5920,f6016,f6021,f6118,f6264,f6402,f6405,f6418,f6423,f6429,f6436,f6440,f6447,f6454,f6467,f6477,f6483,f6489,f6494,f6502,f6820,f6922,f6941,f7001,f7008]) ).
fof(f7008,plain,
( ~ spl254_282
| ~ spl254_300 ),
inference(avatar_contradiction_clause,[],[f7007]) ).
fof(f7007,plain,
( $false
| ~ spl254_282
| ~ spl254_300 ),
inference(subsumption_resolution,[],[f7006,f217]) ).
fof(f217,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7006,plain,
( e0 = e4
| ~ spl254_282
| ~ spl254_300 ),
inference(backward_demodulation,[],[f2272,f2192]) ).
fof(f2192,plain,
( e4 = op(e1,e0)
| ~ spl254_282 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2190,plain,
( spl254_282
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_282])]) ).
fof(f2272,plain,
( e0 = op(e1,e0)
| ~ spl254_300 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2270,plain,
( spl254_300
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_300])]) ).
fof(f7001,plain,
( ~ spl254_220
| ~ spl254_308 ),
inference(avatar_contradiction_clause,[],[f7000]) ).
fof(f7000,plain,
( $false
| ~ spl254_220
| ~ spl254_308 ),
inference(subsumption_resolution,[],[f6984,f6833]) ).
fof(f6833,plain,
( sP200(e2)
| ~ spl254_220 ),
inference(backward_demodulation,[],[f722,f1892]) ).
fof(f1892,plain,
( e2 = op(e0,e4)
| ~ spl254_220 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1890,plain,
( spl254_220
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_220])]) ).
fof(f722,plain,
sP200(op(e0,e4)),
inference(inequality_splitting,[],[f288,f721]) ).
fof(f721,plain,
~ sP200(op(e0,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP200])]) ).
fof(f288,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6984,plain,
( ~ sP200(e2)
| ~ spl254_308 ),
inference(backward_demodulation,[],[f721,f2309]) ).
fof(f2309,plain,
( op(e0,e0) = e2
| ~ spl254_308 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2307,plain,
( spl254_308
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_308])]) ).
fof(f6941,plain,
~ spl254_129,
inference(avatar_contradiction_clause,[],[f6940]) ).
fof(f6940,plain,
( $false
| ~ spl254_129 ),
inference(subsumption_resolution,[],[f6939,f2387]) ).
fof(f2387,plain,
~ sP93(e0),
inference(forward_demodulation,[],[f532,f1821]) ).
fof(f1821,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[],[f335,f338]) ).
fof(f338,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f335,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f532,plain,
~ sP93(op(e4,e4)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP93])]) ).
fof(f6939,plain,
( sP93(e0)
| ~ spl254_129 ),
inference(forward_demodulation,[],[f1438,f1821]) ).
fof(f1438,plain,
( sP93(op(e4,e4))
| ~ spl254_129 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl254_129
<=> sP93(op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_129])]) ).
fof(f6922,plain,
( ~ spl254_98
| ~ spl254_211 ),
inference(avatar_contradiction_clause,[],[f6921]) ).
fof(f6921,plain,
( $false
| ~ spl254_98
| ~ spl254_211 ),
inference(subsumption_resolution,[],[f6920,f214]) ).
fof(f214,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f6920,plain,
( e0 = e1
| ~ spl254_98
| ~ spl254_211 ),
inference(forward_demodulation,[],[f6912,f1821]) ).
fof(f6912,plain,
( e1 = op(e4,e4)
| ~ spl254_98
| ~ spl254_211 ),
inference(backward_demodulation,[],[f1292,f1843]) ).
fof(f1843,plain,
( e4 = op(e1,e4)
| ~ spl254_211 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1841,plain,
( spl254_211
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_211])]) ).
fof(f1292,plain,
( e1 = op(e4,op(e1,e4))
| ~ spl254_98 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1290,plain,
( spl254_98
<=> e1 = op(e4,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_98])]) ).
fof(f6820,plain,
( ~ spl254_234
| ~ spl254_248 ),
inference(avatar_contradiction_clause,[],[f6819]) ).
fof(f6819,plain,
( $false
| ~ spl254_234
| ~ spl254_248 ),
inference(subsumption_resolution,[],[f6818,f222]) ).
fof(f222,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f6818,plain,
( e2 = e4
| ~ spl254_234
| ~ spl254_248 ),
inference(forward_demodulation,[],[f1958,f2022]) ).
fof(f2022,plain,
( e2 = op(e3,e0)
| ~ spl254_248 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f2020,plain,
( spl254_248
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_248])]) ).
fof(f1958,plain,
( e4 = op(e3,e0)
| ~ spl254_234 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1956,plain,
( spl254_234
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_234])]) ).
fof(f6502,plain,
( ~ spl254_289
| ~ spl254_292 ),
inference(avatar_contradiction_clause,[],[f6501]) ).
fof(f6501,plain,
( $false
| ~ spl254_289
| ~ spl254_292 ),
inference(subsumption_resolution,[],[f6499,f218]) ).
fof(f218,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f6499,plain,
( e1 = e2
| ~ spl254_289
| ~ spl254_292 ),
inference(backward_demodulation,[],[f2237,f2223]) ).
fof(f2223,plain,
( e2 = op(e0,e1)
| ~ spl254_289 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f2221,plain,
( spl254_289
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_289])]) ).
fof(f2237,plain,
( e1 = op(e0,e1)
| ~ spl254_292 ),
inference(avatar_component_clause,[],[f2235]) ).
fof(f2235,plain,
( spl254_292
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_292])]) ).
fof(f6494,plain,
( ~ spl254_63
| ~ spl254_237
| ~ spl254_256 ),
inference(avatar_contradiction_clause,[],[f6493]) ).
fof(f6493,plain,
( $false
| ~ spl254_63
| ~ spl254_237
| ~ spl254_256 ),
inference(subsumption_resolution,[],[f6492,f219]) ).
fof(f219,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f6492,plain,
( e1 = e3
| ~ spl254_63
| ~ spl254_237
| ~ spl254_256 ),
inference(forward_demodulation,[],[f6491,f1971]) ).
fof(f1971,plain,
( e3 = op(e0,e3)
| ~ spl254_237 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1969,plain,
( spl254_237
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_237])]) ).
fof(f6491,plain,
( e1 = op(e0,e3)
| ~ spl254_63
| ~ spl254_256 ),
inference(forward_demodulation,[],[f1126,f2056]) ).
fof(f2056,plain,
( e0 = op(e1,e3)
| ~ spl254_256 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2054,plain,
( spl254_256
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_256])]) ).
fof(f1126,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl254_63 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl254_63
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_63])]) ).
fof(f6489,plain,
( ~ spl254_27
| ~ spl254_262
| ~ spl254_265 ),
inference(avatar_contradiction_clause,[],[f6488]) ).
fof(f6488,plain,
( $false
| ~ spl254_27
| ~ spl254_262
| ~ spl254_265 ),
inference(subsumption_resolution,[],[f6487,f221]) ).
fof(f221,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f6487,plain,
( e2 = e3
| ~ spl254_27
| ~ spl254_262
| ~ spl254_265 ),
inference(forward_demodulation,[],[f6486,f2101]) ).
fof(f2101,plain,
( e2 = op(e0,e2)
| ~ spl254_265 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2099,plain,
( spl254_265
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_265])]) ).
fof(f6486,plain,
( e3 = op(e0,e2)
| ~ spl254_27
| ~ spl254_262 ),
inference(forward_demodulation,[],[f955,f2083]) ).
fof(f2083,plain,
( e0 = op(e3,e2)
| ~ spl254_262 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f2081,plain,
( spl254_262
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_262])]) ).
fof(f955,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl254_27 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl254_27
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_27])]) ).
fof(f6483,plain,
( ~ spl254_51
| ~ spl254_278
| spl254_289 ),
inference(avatar_contradiction_clause,[],[f6482]) ).
fof(f6482,plain,
( $false
| ~ spl254_51
| ~ spl254_278
| spl254_289 ),
inference(subsumption_resolution,[],[f6481,f2222]) ).
fof(f2222,plain,
( e2 != op(e0,e1)
| spl254_289 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f6481,plain,
( e2 = op(e0,e1)
| ~ spl254_51
| ~ spl254_278 ),
inference(forward_demodulation,[],[f1069,f2174]) ).
fof(f2174,plain,
( e0 = op(e2,e1)
| ~ spl254_278 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2172,plain,
( spl254_278
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_278])]) ).
fof(f1069,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl254_51 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl254_51
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_51])]) ).
fof(f6477,plain,
( ~ spl254_56
| ~ spl254_265
| ~ spl254_267 ),
inference(avatar_contradiction_clause,[],[f6476]) ).
fof(f6476,plain,
( $false
| ~ spl254_56
| ~ spl254_265
| ~ spl254_267 ),
inference(subsumption_resolution,[],[f6475,f5436]) ).
fof(f5436,plain,
( ~ sP61(e2)
| ~ spl254_265 ),
inference(forward_demodulation,[],[f468,f2101]) ).
fof(f468,plain,
~ sP61(op(e0,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP61])]) ).
fof(f6475,plain,
( sP61(e2)
| ~ spl254_56
| ~ spl254_267 ),
inference(forward_demodulation,[],[f1093,f2114]) ).
fof(f2114,plain,
( e2 = op(e2,e0)
| ~ spl254_267 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f2112,plain,
( spl254_267
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_267])]) ).
fof(f1093,plain,
( sP61(op(e2,e0))
| ~ spl254_56 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1091,plain,
( spl254_56
<=> sP61(op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_56])]) ).
fof(f6467,plain,
( ~ spl254_84
| ~ spl254_237
| ~ spl254_241 ),
inference(avatar_contradiction_clause,[],[f6466]) ).
fof(f6466,plain,
( $false
| ~ spl254_84
| ~ spl254_237
| ~ spl254_241 ),
inference(subsumption_resolution,[],[f6465,f5323]) ).
fof(f5323,plain,
( ~ sP75(e3)
| ~ spl254_237 ),
inference(forward_demodulation,[],[f496,f1971]) ).
fof(f496,plain,
~ sP75(op(e0,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP75])]) ).
fof(f6465,plain,
( sP75(e3)
| ~ spl254_84
| ~ spl254_241 ),
inference(forward_demodulation,[],[f1226,f1990]) ).
fof(f1990,plain,
( e3 = op(e3,e0)
| ~ spl254_241 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f1988,plain,
( spl254_241
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_241])]) ).
fof(f1226,plain,
( sP75(op(e3,e0))
| ~ spl254_84 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1224,plain,
( spl254_84
<=> sP75(op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_84])]) ).
fof(f6454,plain,
( ~ spl254_88
| ~ spl254_265
| ~ spl254_267 ),
inference(avatar_contradiction_clause,[],[f6453]) ).
fof(f6453,plain,
( $false
| ~ spl254_88
| ~ spl254_265
| ~ spl254_267 ),
inference(subsumption_resolution,[],[f6452,f5433]) ).
fof(f5433,plain,
( ~ sP77(e2)
| ~ spl254_265 ),
inference(forward_demodulation,[],[f500,f2101]) ).
fof(f500,plain,
~ sP77(op(e0,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP77])]) ).
fof(f6452,plain,
( sP77(e2)
| ~ spl254_88
| ~ spl254_267 ),
inference(forward_demodulation,[],[f1245,f2114]) ).
fof(f1245,plain,
( sP77(op(e2,e0))
| ~ spl254_88 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1243,plain,
( spl254_88
<=> sP77(op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_88])]) ).
fof(f6447,plain,
~ spl254_48,
inference(avatar_contradiction_clause,[],[f6446]) ).
fof(f6446,plain,
( $false
| ~ spl254_48 ),
inference(subsumption_resolution,[],[f6445,f2391]) ).
fof(f2391,plain,
~ sP57(e4),
inference(forward_demodulation,[],[f460,f338]) ).
fof(f460,plain,
~ sP57(op(e2,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP57])]) ).
fof(f6445,plain,
( sP57(e4)
| ~ spl254_48 ),
inference(forward_demodulation,[],[f1055,f338]) ).
fof(f1055,plain,
( sP57(op(e2,e2))
| ~ spl254_48 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1053,plain,
( spl254_48
<=> sP57(op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_48])]) ).
fof(f6440,plain,
( ~ spl254_76
| ~ spl254_292
| ~ spl254_295 ),
inference(avatar_contradiction_clause,[],[f6439]) ).
fof(f6439,plain,
( $false
| ~ spl254_76
| ~ spl254_292
| ~ spl254_295 ),
inference(subsumption_resolution,[],[f6438,f5473]) ).
fof(f5473,plain,
( ~ sP71(e1)
| ~ spl254_292 ),
inference(backward_demodulation,[],[f488,f2237]) ).
fof(f488,plain,
~ sP71(op(e0,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP71])]) ).
fof(f6438,plain,
( sP71(e1)
| ~ spl254_76
| ~ spl254_295 ),
inference(forward_demodulation,[],[f1188,f2250]) ).
fof(f2250,plain,
( e1 = op(e1,e0)
| ~ spl254_295 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f2248,plain,
( spl254_295
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_295])]) ).
fof(f1188,plain,
( sP71(op(e1,e0))
| ~ spl254_76 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1186,plain,
( spl254_76
<=> sP71(op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_76])]) ).
fof(f6436,plain,
( ~ spl254_67
| ~ spl254_262
| ~ spl254_264 ),
inference(avatar_contradiction_clause,[],[f6435]) ).
fof(f6435,plain,
( $false
| ~ spl254_67
| ~ spl254_262
| ~ spl254_264 ),
inference(subsumption_resolution,[],[f6434,f214]) ).
fof(f6434,plain,
( e0 = e1
| ~ spl254_67
| ~ spl254_262
| ~ spl254_264 ),
inference(forward_demodulation,[],[f6433,f2083]) ).
fof(f6433,plain,
( e1 = op(e3,e2)
| ~ spl254_67
| ~ spl254_264 ),
inference(forward_demodulation,[],[f1145,f2094]) ).
fof(f2094,plain,
( e3 = op(e1,e2)
| ~ spl254_264 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f2092,plain,
( spl254_264
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_264])]) ).
fof(f1145,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl254_67 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1143,plain,
( spl254_67
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_67])]) ).
fof(f6429,plain,
( ~ spl254_36
| ~ spl254_237
| ~ spl254_241 ),
inference(avatar_contradiction_clause,[],[f6428]) ).
fof(f6428,plain,
( $false
| ~ spl254_36
| ~ spl254_237
| ~ spl254_241 ),
inference(subsumption_resolution,[],[f6427,f5326]) ).
fof(f5326,plain,
( ~ sP51(e3)
| ~ spl254_237 ),
inference(forward_demodulation,[],[f448,f1971]) ).
fof(f448,plain,
~ sP51(op(e0,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP51])]) ).
fof(f6427,plain,
( sP51(e3)
| ~ spl254_36
| ~ spl254_241 ),
inference(forward_demodulation,[],[f998,f1990]) ).
fof(f998,plain,
( sP51(op(e3,e0))
| ~ spl254_36 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f996,plain,
( spl254_36
<=> sP51(op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_36])]) ).
fof(f6423,plain,
( ~ spl254_59
| ~ spl254_221 ),
inference(avatar_contradiction_clause,[],[f6422]) ).
fof(f6422,plain,
( $false
| ~ spl254_59
| ~ spl254_221 ),
inference(subsumption_resolution,[],[f6421,f219]) ).
fof(f6421,plain,
( e1 = e3
| ~ spl254_59
| ~ spl254_221 ),
inference(forward_demodulation,[],[f6420,f1805]) ).
fof(f1805,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[],[f337,f338]) ).
fof(f337,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6420,plain,
( e1 = op(e2,e4)
| ~ spl254_59
| ~ spl254_221 ),
inference(forward_demodulation,[],[f1107,f1896]) ).
fof(f1896,plain,
( e2 = op(e1,e4)
| ~ spl254_221 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1894,plain,
( spl254_221
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_221])]) ).
fof(f1107,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl254_59 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1105,plain,
( spl254_59
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_59])]) ).
fof(f6418,plain,
~ spl254_39,
inference(avatar_contradiction_clause,[],[f6417]) ).
fof(f6417,plain,
( $false
| ~ spl254_39 ),
inference(subsumption_resolution,[],[f6416,f218]) ).
fof(f6416,plain,
( e1 = e2
| ~ spl254_39 ),
inference(backward_demodulation,[],[f1813,f6414]) ).
fof(f6414,plain,
( e2 = op(e3,e4)
| ~ spl254_39 ),
inference(forward_demodulation,[],[f1012,f1805]) ).
fof(f1012,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl254_39 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1010,plain,
( spl254_39
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_39])]) ).
fof(f1813,plain,
e1 = op(e3,e4),
inference(forward_demodulation,[],[f1812,f1805]) ).
fof(f1812,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[],[f336,f338]) ).
fof(f336,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6405,plain,
( ~ spl254_42
| ~ spl254_253
| ~ spl254_264 ),
inference(avatar_split_clause,[],[f6229,f2092,f2041,f1024]) ).
fof(f1024,plain,
( spl254_42
<=> sP54(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_42])]) ).
fof(f2041,plain,
( spl254_253
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_253])]) ).
fof(f6229,plain,
( ~ sP54(e3)
| ~ spl254_253
| ~ spl254_264 ),
inference(forward_demodulation,[],[f6210,f2094]) ).
fof(f6210,plain,
( ~ sP54(op(e1,e2))
| ~ spl254_253 ),
inference(backward_demodulation,[],[f454,f2043]) ).
fof(f2043,plain,
( e1 = op(e2,e3)
| ~ spl254_253 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f454,plain,
~ sP54(op(op(e2,e3),e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP54])]) ).
fof(f6402,plain,
( ~ spl254_31
| ~ spl254_249
| spl254_286 ),
inference(avatar_contradiction_clause,[],[f6401]) ).
fof(f6401,plain,
( $false
| ~ spl254_31
| ~ spl254_249
| spl254_286 ),
inference(subsumption_resolution,[],[f6400,f2208]) ).
fof(f2208,plain,
( e3 != op(e2,e1)
| spl254_286 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2207,plain,
( spl254_286
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_286])]) ).
fof(f6400,plain,
( e3 = op(e2,e1)
| ~ spl254_31
| ~ spl254_249 ),
inference(forward_demodulation,[],[f974,f2026]) ).
fof(f2026,plain,
( e2 = op(e3,e1)
| ~ spl254_249 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2024,plain,
( spl254_249
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_249])]) ).
fof(f974,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl254_31 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f972,plain,
( spl254_31
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_31])]) ).
fof(f6264,plain,
( ~ spl254_225
| ~ spl254_247 ),
inference(avatar_contradiction_clause,[],[f6263]) ).
fof(f6263,plain,
( $false
| ~ spl254_225
| ~ spl254_247 ),
inference(subsumption_resolution,[],[f6244,f4659]) ).
fof(f4659,plain,
( sP214(e2)
| ~ spl254_225 ),
inference(forward_demodulation,[],[f750,f1915]) ).
fof(f1915,plain,
( e2 = op(e4,e3)
| ~ spl254_225 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1913,plain,
( spl254_225
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_225])]) ).
fof(f750,plain,
sP214(op(e4,e3)),
inference(inequality_splitting,[],[f274,f749]) ).
fof(f749,plain,
~ sP214(op(e3,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP214])]) ).
fof(f274,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6244,plain,
( ~ sP214(e2)
| ~ spl254_247 ),
inference(backward_demodulation,[],[f749,f2015]) ).
fof(f2015,plain,
( e2 = op(e3,e3)
| ~ spl254_247 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f2013,plain,
( spl254_247
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_247])]) ).
fof(f6118,plain,
( spl254_235
| ~ spl254_11
| ~ spl254_217 ),
inference(avatar_split_clause,[],[f6117,f1871,f877,f1960]) ).
fof(f1960,plain,
( spl254_235
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_235])]) ).
fof(f877,plain,
( spl254_11
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_11])]) ).
fof(f1871,plain,
( spl254_217
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_217])]) ).
fof(f6117,plain,
( e4 = op(e3,e1)
| ~ spl254_11
| ~ spl254_217 ),
inference(forward_demodulation,[],[f879,f1873]) ).
fof(f1873,plain,
( e3 = op(e4,e1)
| ~ spl254_217 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f879,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl254_11 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f6021,plain,
( ~ spl254_263
| ~ spl254_265 ),
inference(avatar_contradiction_clause,[],[f6020]) ).
fof(f6020,plain,
( $false
| ~ spl254_263
| ~ spl254_265 ),
inference(subsumption_resolution,[],[f6019,f221]) ).
fof(f6019,plain,
( e2 = e3
| ~ spl254_263
| ~ spl254_265 ),
inference(forward_demodulation,[],[f2090,f2101]) ).
fof(f2090,plain,
( e3 = op(e0,e2)
| ~ spl254_263 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f2088,plain,
( spl254_263
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_263])]) ).
fof(f6016,plain,
( ~ spl254_273
| ~ spl254_292 ),
inference(avatar_contradiction_clause,[],[f6015]) ).
fof(f6015,plain,
( $false
| ~ spl254_273
| ~ spl254_292 ),
inference(subsumption_resolution,[],[f6007,f5483]) ).
fof(f5483,plain,
( ~ sP242(e1)
| ~ spl254_292 ),
inference(backward_demodulation,[],[f805,f2237]) ).
fof(f805,plain,
~ sP242(op(e0,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP242])]) ).
fof(f6007,plain,
( sP242(e1)
| ~ spl254_273 ),
inference(backward_demodulation,[],[f806,f2146]) ).
fof(f2146,plain,
( e1 = op(e2,e1)
| ~ spl254_273 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2144,plain,
( spl254_273
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_273])]) ).
fof(f806,plain,
sP242(op(e2,e1)),
inference(inequality_splitting,[],[f246,f805]) ).
fof(f246,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f5920,plain,
( ~ spl254_217
| spl254_131 ),
inference(avatar_split_clause,[],[f4637,f1445,f1871]) ).
fof(f1445,plain,
( spl254_131
<=> e3 = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_131])]) ).
fof(f4637,plain,
( e3 != op(e4,e1)
| spl254_131 ),
inference(forward_demodulation,[],[f1446,f1813]) ).
fof(f1446,plain,
( e3 != op(e4,op(e3,e4))
| spl254_131 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f5882,plain,
( ~ spl254_234
| ~ spl254_241 ),
inference(avatar_contradiction_clause,[],[f5881]) ).
fof(f5881,plain,
( $false
| ~ spl254_234
| ~ spl254_241 ),
inference(subsumption_resolution,[],[f5880,f223]) ).
fof(f223,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5880,plain,
( e3 = e4
| ~ spl254_234
| ~ spl254_241 ),
inference(forward_demodulation,[],[f1958,f1990]) ).
fof(f5796,plain,
( ~ spl254_265
| ~ spl254_269 ),
inference(avatar_contradiction_clause,[],[f5795]) ).
fof(f5795,plain,
( $false
| ~ spl254_265
| ~ spl254_269 ),
inference(subsumption_resolution,[],[f5794,f218]) ).
fof(f5794,plain,
( e1 = e2
| ~ spl254_265
| ~ spl254_269 ),
inference(forward_demodulation,[],[f2125,f2101]) ).
fof(f2125,plain,
( e1 = op(e0,e2)
| ~ spl254_269 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2123,plain,
( spl254_269
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_269])]) ).
fof(f5792,plain,
( ~ spl254_267
| ~ spl254_272 ),
inference(avatar_contradiction_clause,[],[f5791]) ).
fof(f5791,plain,
( $false
| ~ spl254_267
| ~ spl254_272 ),
inference(subsumption_resolution,[],[f5790,f218]) ).
fof(f5790,plain,
( e1 = e2
| ~ spl254_267
| ~ spl254_272 ),
inference(forward_demodulation,[],[f2142,f2114]) ).
fof(f2142,plain,
( e1 = op(e2,e0)
| ~ spl254_272 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2140,plain,
( spl254_272
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_272])]) ).
fof(f5785,plain,
~ spl254_281,
inference(avatar_contradiction_clause,[],[f5784]) ).
fof(f5784,plain,
( $false
| ~ spl254_281 ),
inference(subsumption_resolution,[],[f5769,f1804]) ).
fof(f1804,plain,
sP179(e4),
inference(backward_demodulation,[],[f680,f338]) ).
fof(f680,plain,
sP179(op(e2,e2)),
inference(inequality_splitting,[],[f309,f679]) ).
fof(f679,plain,
~ sP179(op(e2,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP179])]) ).
fof(f309,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f5769,plain,
( ~ sP179(e4)
| ~ spl254_281 ),
inference(backward_demodulation,[],[f679,f2187]) ).
fof(f2187,plain,
( e4 = op(e2,e1)
| ~ spl254_281 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f2185,plain,
( spl254_281
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_281])]) ).
fof(f5612,plain,
( ~ spl254_78
| ~ spl254_210
| ~ spl254_212 ),
inference(avatar_split_clause,[],[f5611,f1848,f1837,f1195]) ).
fof(f1195,plain,
( spl254_78
<=> sP72(e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_78])]) ).
fof(f1837,plain,
( spl254_210
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_210])]) ).
fof(f1848,plain,
( spl254_212
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_212])]) ).
fof(f5611,plain,
( ~ sP72(e4)
| ~ spl254_210
| ~ spl254_212 ),
inference(forward_demodulation,[],[f5597,f1850]) ).
fof(f1850,plain,
( e4 = op(e4,e0)
| ~ spl254_212 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f5597,plain,
( ~ sP72(op(e4,e0))
| ~ spl254_210 ),
inference(backward_demodulation,[],[f490,f1839]) ).
fof(f1839,plain,
( e4 = op(e0,e4)
| ~ spl254_210 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f490,plain,
~ sP72(op(op(e0,e4),e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP72])]) ).
fof(f5590,plain,
( ~ spl254_212
| ~ spl254_213 ),
inference(avatar_contradiction_clause,[],[f5589]) ).
fof(f5589,plain,
( $false
| ~ spl254_212
| ~ spl254_213 ),
inference(subsumption_resolution,[],[f5566,f3980]) ).
fof(f3980,plain,
( sP163(e4)
| ~ spl254_213 ),
inference(backward_demodulation,[],[f648,f1854]) ).
fof(f1854,plain,
( e4 = op(e4,e1)
| ~ spl254_213 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1852,plain,
( spl254_213
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_213])]) ).
fof(f648,plain,
sP163(op(e4,e1)),
inference(inequality_splitting,[],[f325,f647]) ).
fof(f647,plain,
~ sP163(op(e4,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP163])]) ).
fof(f325,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f5566,plain,
( ~ sP163(e4)
| ~ spl254_212 ),
inference(backward_demodulation,[],[f647,f1850]) ).
fof(f5578,plain,
( ~ spl254_14
| ~ spl254_212 ),
inference(avatar_split_clause,[],[f5577,f1848,f891]) ).
fof(f891,plain,
( spl254_14
<=> sP40(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_14])]) ).
fof(f5577,plain,
( ~ sP40(e0)
| ~ spl254_212 ),
inference(forward_demodulation,[],[f5558,f1821]) ).
fof(f5558,plain,
( ~ sP40(op(e4,e4))
| ~ spl254_212 ),
inference(backward_demodulation,[],[f426,f1850]) ).
fof(f426,plain,
~ sP40(op(op(e4,e0),e4)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP40])]) ).
fof(f5469,plain,
( ~ spl254_270
| ~ spl254_295 ),
inference(avatar_contradiction_clause,[],[f5468]) ).
fof(f5468,plain,
( $false
| ~ spl254_270
| ~ spl254_295 ),
inference(subsumption_resolution,[],[f5459,f5127]) ).
fof(f5127,plain,
( sP192(e1)
| ~ spl254_270 ),
inference(backward_demodulation,[],[f706,f2129]) ).
fof(f2129,plain,
( e1 = op(e1,e2)
| ~ spl254_270 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2127,plain,
( spl254_270
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_270])]) ).
fof(f706,plain,
sP192(op(e1,e2)),
inference(inequality_splitting,[],[f296,f705]) ).
fof(f705,plain,
~ sP192(op(e1,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP192])]) ).
fof(f296,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f5459,plain,
( ~ sP192(e1)
| ~ spl254_295 ),
inference(backward_demodulation,[],[f705,f2250]) ).
fof(f5423,plain,
( ~ spl254_250
| ~ spl254_265 ),
inference(avatar_contradiction_clause,[],[f5422]) ).
fof(f5422,plain,
( $false
| ~ spl254_250
| ~ spl254_265 ),
inference(subsumption_resolution,[],[f5421,f4915]) ).
fof(f4915,plain,
( sP231(e2)
| ~ spl254_250 ),
inference(backward_demodulation,[],[f784,f2030]) ).
fof(f2030,plain,
( e2 = op(e3,e2)
| ~ spl254_250 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2028,plain,
( spl254_250
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_250])]) ).
fof(f784,plain,
sP231(op(e3,e2)),
inference(inequality_splitting,[],[f257,f783]) ).
fof(f783,plain,
~ sP231(op(e0,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP231])]) ).
fof(f257,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f5421,plain,
( ~ sP231(e2)
| ~ spl254_265 ),
inference(forward_demodulation,[],[f783,f2101]) ).
fof(f5390,plain,
( spl254_295
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f5252,f1781,f2248]) ).
fof(f1781,plain,
( spl254_205
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl254_205])]) ).
fof(f5252,plain,
( e1 = op(e1,e0)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f227,f1783]) ).
fof(f1783,plain,
( e0 = unit
| ~ spl254_205 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f227,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5388,plain,
( spl254_292
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f5251,f1781,f2235]) ).
fof(f5251,plain,
( e1 = op(e0,e1)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f226,f1783]) ).
fof(f226,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f5374,plain,
~ spl254_286,
inference(avatar_contradiction_clause,[],[f5373]) ).
fof(f5373,plain,
( $false
| ~ spl254_286 ),
inference(subsumption_resolution,[],[f5372,f1809]) ).
fof(f1809,plain,
sP177(e3),
inference(backward_demodulation,[],[f676,f1805]) ).
fof(f676,plain,
sP177(op(e2,e4)),
inference(inequality_splitting,[],[f311,f675]) ).
fof(f675,plain,
~ sP177(op(e2,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP177])]) ).
fof(f311,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f5372,plain,
( ~ sP177(e3)
| ~ spl254_286 ),
inference(forward_demodulation,[],[f675,f2209]) ).
fof(f2209,plain,
( e3 = op(e2,e1)
| ~ spl254_286 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f5346,plain,
( spl254_267
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f5254,f1781,f2112]) ).
fof(f5254,plain,
( e2 = op(e2,e0)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f229,f1783]) ).
fof(f229,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f5283,plain,
( spl254_212
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f5258,f1781,f1848]) ).
fof(f5258,plain,
( e4 = op(e4,e0)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f233,f1783]) ).
fof(f233,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f5281,plain,
( spl254_210
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f5257,f1781,f1837]) ).
fof(f5257,plain,
( e4 = op(e0,e4)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f232,f1783]) ).
fof(f232,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f5273,plain,
( ~ spl254_205
| ~ spl254_222 ),
inference(avatar_contradiction_clause,[],[f5272]) ).
fof(f5272,plain,
( $false
| ~ spl254_205
| ~ spl254_222 ),
inference(subsumption_resolution,[],[f5271,f222]) ).
fof(f5271,plain,
( e2 = e4
| ~ spl254_205
| ~ spl254_222 ),
inference(forward_demodulation,[],[f5258,f1903]) ).
fof(f1903,plain,
( e2 = op(e4,e0)
| ~ spl254_222 ),
inference(avatar_component_clause,[],[f1901]) ).
fof(f1901,plain,
( spl254_222
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_222])]) ).
fof(f5247,plain,
( ~ spl254_218
| ~ spl254_228 ),
inference(avatar_contradiction_clause,[],[f5246]) ).
fof(f5246,plain,
( $false
| ~ spl254_218
| ~ spl254_228 ),
inference(subsumption_resolution,[],[f5244,f219]) ).
fof(f5244,plain,
( e1 = e3
| ~ spl254_218
| ~ spl254_228 ),
inference(backward_demodulation,[],[f1930,f1877]) ).
fof(f1877,plain,
( e3 = op(e4,e2)
| ~ spl254_218 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1875,plain,
( spl254_218
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_218])]) ).
fof(f1930,plain,
( e1 = op(e4,e2)
| ~ spl254_228 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1928,plain,
( spl254_228
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_228])]) ).
fof(f5242,plain,
( ~ spl254_221
| ~ spl254_288 ),
inference(avatar_contradiction_clause,[],[f5241]) ).
fof(f5241,plain,
( $false
| ~ spl254_221
| ~ spl254_288 ),
inference(subsumption_resolution,[],[f5240,f221]) ).
fof(f5240,plain,
( e2 = e3
| ~ spl254_221
| ~ spl254_288 ),
inference(backward_demodulation,[],[f2218,f1896]) ).
fof(f2218,plain,
( e3 = op(e1,e4)
| ~ spl254_288 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f2216,plain,
( spl254_288
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_288])]) ).
fof(f5146,plain,
( ~ spl254_225
| ~ spl254_259 ),
inference(avatar_contradiction_clause,[],[f5145]) ).
fof(f5145,plain,
( $false
| ~ spl254_225
| ~ spl254_259 ),
inference(subsumption_resolution,[],[f5144,f215]) ).
fof(f215,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f5144,plain,
( e0 = e2
| ~ spl254_225
| ~ spl254_259 ),
inference(forward_demodulation,[],[f2068,f1915]) ).
fof(f2068,plain,
( e0 = op(e4,e3)
| ~ spl254_259 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2066,plain,
( spl254_259
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_259])]) ).
fof(f5136,plain,
( ~ spl254_270
| ~ spl254_293 ),
inference(avatar_contradiction_clause,[],[f5135]) ).
fof(f5135,plain,
( $false
| ~ spl254_270
| ~ spl254_293 ),
inference(subsumption_resolution,[],[f5126,f4517]) ).
fof(f4517,plain,
( ~ sP189(e1)
| ~ spl254_293 ),
inference(backward_demodulation,[],[f699,f2241]) ).
fof(f2241,plain,
( e1 = op(e1,e1)
| ~ spl254_293 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f2239,plain,
( spl254_293
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_293])]) ).
fof(f699,plain,
~ sP189(op(e1,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP189])]) ).
fof(f5126,plain,
( sP189(e1)
| ~ spl254_270 ),
inference(backward_demodulation,[],[f700,f2129]) ).
fof(f700,plain,
sP189(op(e1,e2)),
inference(inequality_splitting,[],[f299,f699]) ).
fof(f299,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f5073,plain,
~ spl254_303,
inference(avatar_contradiction_clause,[],[f5072]) ).
fof(f5072,plain,
( $false
| ~ spl254_303 ),
inference(subsumption_resolution,[],[f5061,f1803]) ).
fof(f1803,plain,
sP182(e4),
inference(backward_demodulation,[],[f686,f338]) ).
fof(f686,plain,
sP182(op(e2,e2)),
inference(inequality_splitting,[],[f306,f685]) ).
fof(f685,plain,
~ sP182(op(e2,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP182])]) ).
fof(f306,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f5061,plain,
( ~ sP182(e4)
| ~ spl254_303 ),
inference(backward_demodulation,[],[f685,f2285]) ).
fof(f2285,plain,
( e4 = op(e2,e0)
| ~ spl254_303 ),
inference(avatar_component_clause,[],[f2283]) ).
fof(f2283,plain,
( spl254_303
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_303])]) ).
fof(f4954,plain,
( spl254_288
| ~ spl254_19 ),
inference(avatar_split_clause,[],[f4953,f915,f2216]) ).
fof(f915,plain,
( spl254_19
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_19])]) ).
fof(f4953,plain,
( e3 = op(e1,e4)
| ~ spl254_19 ),
inference(forward_demodulation,[],[f917,f1813]) ).
fof(f917,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl254_19 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f4943,plain,
( ~ spl254_190
| ~ spl254_272
| spl254_289 ),
inference(avatar_contradiction_clause,[],[f4942]) ).
fof(f4942,plain,
( $false
| ~ spl254_190
| ~ spl254_272
| spl254_289 ),
inference(subsumption_resolution,[],[f4941,f2222]) ).
fof(f4941,plain,
( e2 = op(e0,e1)
| ~ spl254_190
| ~ spl254_272 ),
inference(forward_demodulation,[],[f1715,f2142]) ).
fof(f1715,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl254_190 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1713,plain,
( spl254_190
<=> e2 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_190])]) ).
fof(f4939,plain,
( ~ spl254_250
| ~ spl254_266 ),
inference(avatar_contradiction_clause,[],[f4938]) ).
fof(f4938,plain,
( $false
| ~ spl254_250
| ~ spl254_266 ),
inference(subsumption_resolution,[],[f4914,f4158]) ).
fof(f4158,plain,
( ~ sP228(e2)
| ~ spl254_266 ),
inference(forward_demodulation,[],[f777,f2105]) ).
fof(f2105,plain,
( e2 = op(e1,e2)
| ~ spl254_266 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f2103,plain,
( spl254_266
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_266])]) ).
fof(f777,plain,
~ sP228(op(e1,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP228])]) ).
fof(f4914,plain,
( sP228(e2)
| ~ spl254_250 ),
inference(backward_demodulation,[],[f778,f2030]) ).
fof(f778,plain,
sP228(op(e3,e2)),
inference(inequality_splitting,[],[f260,f777]) ).
fof(f260,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4896,plain,
( ~ spl254_123
| ~ spl254_300 ),
inference(avatar_split_clause,[],[f4718,f2270,f1407]) ).
fof(f1407,plain,
( spl254_123
<=> sP90(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_123])]) ).
fof(f4718,plain,
( ~ sP90(e0)
| ~ spl254_300 ),
inference(forward_demodulation,[],[f4717,f2272]) ).
fof(f4717,plain,
( ~ sP90(op(e1,e0))
| ~ spl254_300 ),
inference(forward_demodulation,[],[f526,f2272]) ).
fof(f526,plain,
~ sP90(op(e1,op(e1,e0))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP90])]) ).
fof(f4777,plain,
( ~ spl254_196
| ~ spl254_248
| ~ spl254_262 ),
inference(avatar_split_clause,[],[f4763,f2081,f2020,f1740]) ).
fof(f1740,plain,
( spl254_196
<=> sP144(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_196])]) ).
fof(f4763,plain,
( ~ sP144(e0)
| ~ spl254_248
| ~ spl254_262 ),
inference(backward_demodulation,[],[f4545,f2083]) ).
fof(f4545,plain,
( ~ sP144(op(e3,e2))
| ~ spl254_248 ),
inference(backward_demodulation,[],[f614,f2022]) ).
fof(f614,plain,
~ sP144(op(e3,op(e3,e0))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP144])]) ).
fof(f4776,plain,
( ~ spl254_194
| ~ spl254_248
| ~ spl254_262 ),
inference(avatar_split_clause,[],[f4762,f2081,f2020,f1731]) ).
fof(f1731,plain,
( spl254_194
<=> sP143(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_194])]) ).
fof(f4762,plain,
( ~ sP143(e0)
| ~ spl254_248
| ~ spl254_262 ),
inference(backward_demodulation,[],[f4544,f2083]) ).
fof(f4544,plain,
( ~ sP143(op(e3,e2))
| ~ spl254_248 ),
inference(backward_demodulation,[],[f612,f2022]) ).
fof(f612,plain,
~ sP143(op(e3,op(e3,e0))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP143])]) ).
fof(f4767,plain,
( ~ spl254_164
| ~ spl254_248
| ~ spl254_262 ),
inference(avatar_split_clause,[],[f4766,f2081,f2020,f1595]) ).
fof(f1595,plain,
( spl254_164
<=> sP119(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_164])]) ).
fof(f4766,plain,
( ~ sP119(e2)
| ~ spl254_248
| ~ spl254_262 ),
inference(forward_demodulation,[],[f4747,f2022]) ).
fof(f4747,plain,
( ~ sP119(op(e3,e0))
| ~ spl254_262 ),
inference(backward_demodulation,[],[f574,f2083]) ).
fof(f574,plain,
~ sP119(op(e3,op(e3,e2))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP119])]) ).
fof(f4674,plain,
( spl254_230
| ~ spl254_192
| ~ spl254_216 ),
inference(avatar_split_clause,[],[f4618,f1867,f1721,f1937]) ).
fof(f1937,plain,
( spl254_230
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_230])]) ).
fof(f1721,plain,
( spl254_192
<=> e4 = op(e0,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_192])]) ).
fof(f1867,plain,
( spl254_216
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_216])]) ).
fof(f4618,plain,
( e4 = op(e0,e3)
| ~ spl254_192
| ~ spl254_216 ),
inference(backward_demodulation,[],[f1723,f1869]) ).
fof(f1869,plain,
( e3 = op(e4,e0)
| ~ spl254_216 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1723,plain,
( e4 = op(e0,op(e4,e0))
| ~ spl254_192 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f4670,plain,
( ~ spl254_2
| ~ spl254_225 ),
inference(avatar_split_clause,[],[f4669,f1913,f834]) ).
fof(f834,plain,
( spl254_2
<=> sP34(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_2])]) ).
fof(f4669,plain,
( ~ sP34(e3)
| ~ spl254_225 ),
inference(forward_demodulation,[],[f4668,f1805]) ).
fof(f4668,plain,
( ~ sP34(op(e2,e4))
| ~ spl254_225 ),
inference(forward_demodulation,[],[f414,f1915]) ).
fof(f414,plain,
~ sP34(op(op(e4,e3),e4)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP34])]) ).
fof(f4653,plain,
( ~ spl254_101
| ~ spl254_218
| ~ spl254_220 ),
inference(avatar_contradiction_clause,[],[f4652]) ).
fof(f4652,plain,
( $false
| ~ spl254_101
| ~ spl254_218
| ~ spl254_220 ),
inference(subsumption_resolution,[],[f4651,f216]) ).
fof(f216,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f4651,plain,
( e0 = e3
| ~ spl254_101
| ~ spl254_218
| ~ spl254_220 ),
inference(forward_demodulation,[],[f4650,f1877]) ).
fof(f4650,plain,
( e0 = op(e4,e2)
| ~ spl254_101
| ~ spl254_220 ),
inference(forward_demodulation,[],[f1306,f1892]) ).
fof(f1306,plain,
( e0 = op(e4,op(e0,e4))
| ~ spl254_101 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl254_101
<=> e0 = op(e4,op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_101])]) ).
fof(f4604,plain,
( ~ spl254_162
| ~ spl254_218
| spl254_232 ),
inference(avatar_contradiction_clause,[],[f4603]) ).
fof(f4603,plain,
( $false
| ~ spl254_162
| ~ spl254_218
| spl254_232 ),
inference(subsumption_resolution,[],[f4589,f1946]) ).
fof(f1946,plain,
( e4 != op(e2,e3)
| spl254_232 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1945,plain,
( spl254_232
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_232])]) ).
fof(f4589,plain,
( e4 = op(e2,e3)
| ~ spl254_162
| ~ spl254_218 ),
inference(backward_demodulation,[],[f1587,f1877]) ).
fof(f1587,plain,
( e4 = op(e2,op(e4,e2))
| ~ spl254_162 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1585,plain,
( spl254_162
<=> e4 = op(e2,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_162])]) ).
fof(f4443,plain,
~ spl254_271,
inference(avatar_contradiction_clause,[],[f4442]) ).
fof(f4442,plain,
( $false
| ~ spl254_271 ),
inference(subsumption_resolution,[],[f4441,f1815]) ).
fof(f1815,plain,
sP165(e1),
inference(backward_demodulation,[],[f652,f1813]) ).
fof(f652,plain,
sP165(op(e3,e4)),
inference(inequality_splitting,[],[f323,f651]) ).
fof(f651,plain,
~ sP165(op(e3,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP165])]) ).
fof(f323,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4441,plain,
( ~ sP165(e1)
| ~ spl254_271 ),
inference(forward_demodulation,[],[f651,f2133]) ).
fof(f2133,plain,
( e1 = op(e3,e2)
| ~ spl254_271 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2131,plain,
( spl254_271
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_271])]) ).
fof(f4425,plain,
( ~ spl254_230
| ~ spl254_302 ),
inference(avatar_contradiction_clause,[],[f4424]) ).
fof(f4424,plain,
( $false
| ~ spl254_230
| ~ spl254_302 ),
inference(subsumption_resolution,[],[f4423,f2404]) ).
fof(f2404,plain,
( ~ sP201(e4)
| ~ spl254_302 ),
inference(backward_demodulation,[],[f723,f2281]) ).
fof(f2281,plain,
( op(e0,e0) = e4
| ~ spl254_302 ),
inference(avatar_component_clause,[],[f2279]) ).
fof(f2279,plain,
( spl254_302
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_302])]) ).
fof(f723,plain,
~ sP201(op(e0,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP201])]) ).
fof(f4423,plain,
( sP201(e4)
| ~ spl254_230 ),
inference(forward_demodulation,[],[f724,f1939]) ).
fof(f1939,plain,
( e4 = op(e0,e3)
| ~ spl254_230 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f724,plain,
sP201(op(e0,e3)),
inference(inequality_splitting,[],[f287,f723]) ).
fof(f287,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4388,plain,
( ~ spl254_111
| ~ spl254_266 ),
inference(avatar_split_clause,[],[f4150,f2103,f1351]) ).
fof(f1351,plain,
( spl254_111
<=> sP86(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_111])]) ).
fof(f4150,plain,
( ~ sP86(e2)
| ~ spl254_266 ),
inference(forward_demodulation,[],[f4149,f2105]) ).
fof(f4149,plain,
( ~ sP86(op(e1,e2))
| ~ spl254_266 ),
inference(forward_demodulation,[],[f518,f2105]) ).
fof(f518,plain,
~ sP86(op(e1,op(e1,e2))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP86])]) ).
fof(f4347,plain,
( ~ spl254_213
| ~ spl254_217 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
fof(f4346,plain,
( $false
| ~ spl254_213
| ~ spl254_217 ),
inference(subsumption_resolution,[],[f4345,f223]) ).
fof(f4345,plain,
( e3 = e4
| ~ spl254_213
| ~ spl254_217 ),
inference(backward_demodulation,[],[f1854,f1873]) ).
fof(f4314,plain,
( ~ spl254_235
| ~ spl254_249 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
fof(f4313,plain,
( $false
| ~ spl254_235
| ~ spl254_249 ),
inference(subsumption_resolution,[],[f4312,f222]) ).
fof(f4312,plain,
( e2 = e4
| ~ spl254_235
| ~ spl254_249 ),
inference(forward_demodulation,[],[f1962,f2026]) ).
fof(f1962,plain,
( e4 = op(e3,e1)
| ~ spl254_235 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f4311,plain,
( ~ spl254_242
| ~ spl254_249 ),
inference(avatar_contradiction_clause,[],[f4310]) ).
fof(f4310,plain,
( $false
| ~ spl254_242
| ~ spl254_249 ),
inference(subsumption_resolution,[],[f4309,f221]) ).
fof(f4309,plain,
( e2 = e3
| ~ spl254_242
| ~ spl254_249 ),
inference(backward_demodulation,[],[f1994,f2026]) ).
fof(f1994,plain,
( e3 = op(e3,e1)
| ~ spl254_242 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1992,plain,
( spl254_242
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_242])]) ).
fof(f4266,plain,
( ~ spl254_268
| ~ spl254_278 ),
inference(avatar_contradiction_clause,[],[f4265]) ).
fof(f4265,plain,
( $false
| ~ spl254_268
| ~ spl254_278 ),
inference(subsumption_resolution,[],[f4264,f215]) ).
fof(f4264,plain,
( e0 = e2
| ~ spl254_268
| ~ spl254_278 ),
inference(backward_demodulation,[],[f2174,f2118]) ).
fof(f2118,plain,
( e2 = op(e2,e1)
| ~ spl254_268 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2116,plain,
( spl254_268
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_268])]) ).
fof(f4190,plain,
( ~ spl254_90
| ~ spl254_292
| ~ spl254_295 ),
inference(avatar_split_clause,[],[f4189,f2248,f2235,f1252]) ).
fof(f1252,plain,
( spl254_90
<=> sP78(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_90])]) ).
fof(f4189,plain,
( ~ sP78(e1)
| ~ spl254_292
| ~ spl254_295 ),
inference(forward_demodulation,[],[f4177,f2250]) ).
fof(f4177,plain,
( ~ sP78(op(e1,e0))
| ~ spl254_292 ),
inference(backward_demodulation,[],[f502,f2237]) ).
fof(f502,plain,
~ sP78(op(op(e0,e1),e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP78])]) ).
fof(f4163,plain,
( spl254_300
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f3997,f1785,f2270]) ).
fof(f1785,plain,
( spl254_206
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl254_206])]) ).
fof(f3997,plain,
( e0 = op(e1,e0)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f224,f1787]) ).
fof(f1787,plain,
( e1 = unit
| ~ spl254_206 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f224,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f4162,plain,
( spl254_293
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f4000,f1785,f2239]) ).
fof(f4000,plain,
( e1 = op(e1,e1)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f227,f1787]) ).
fof(f4144,plain,
( spl254_268
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f4002,f1785,f2116]) ).
fof(f4002,plain,
( e2 = op(e2,e1)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f229,f1787]) ).
fof(f4136,plain,
( ~ spl254_242
| ~ spl254_243 ),
inference(avatar_contradiction_clause,[],[f4135]) ).
fof(f4135,plain,
( $false
| ~ spl254_242
| ~ spl254_243 ),
inference(subsumption_resolution,[],[f4134,f3289]) ).
fof(f3289,plain,
( sP169(e3)
| ~ spl254_243 ),
inference(backward_demodulation,[],[f660,f1998]) ).
fof(f1998,plain,
( e3 = op(e3,e2)
| ~ spl254_243 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f1996,plain,
( spl254_243
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_243])]) ).
fof(f660,plain,
sP169(op(e3,e2)),
inference(inequality_splitting,[],[f319,f659]) ).
fof(f659,plain,
~ sP169(op(e3,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP169])]) ).
fof(f319,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4134,plain,
( ~ sP169(e3)
| ~ spl254_242 ),
inference(forward_demodulation,[],[f659,f1994]) ).
fof(f4109,plain,
( ~ spl254_219
| ~ spl254_237 ),
inference(avatar_contradiction_clause,[],[f4108]) ).
fof(f4108,plain,
( $false
| ~ spl254_219
| ~ spl254_237 ),
inference(subsumption_resolution,[],[f4107,f3183]) ).
fof(f3183,plain,
( sP220(e3)
| ~ spl254_219 ),
inference(forward_demodulation,[],[f762,f1881]) ).
fof(f1881,plain,
( e3 = op(e4,e3)
| ~ spl254_219 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1879,plain,
( spl254_219
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_219])]) ).
fof(f762,plain,
sP220(op(e4,e3)),
inference(inequality_splitting,[],[f268,f761]) ).
fof(f761,plain,
~ sP220(op(e0,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP220])]) ).
fof(f268,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4107,plain,
( ~ sP220(e3)
| ~ spl254_237 ),
inference(forward_demodulation,[],[f761,f1971]) ).
fof(f4092,plain,
( ~ spl254_219
| ~ spl254_238 ),
inference(avatar_contradiction_clause,[],[f4091]) ).
fof(f4091,plain,
( $false
| ~ spl254_219
| ~ spl254_238 ),
inference(subsumption_resolution,[],[f4090,f3184]) ).
fof(f3184,plain,
( sP217(e3)
| ~ spl254_219 ),
inference(forward_demodulation,[],[f756,f1881]) ).
fof(f756,plain,
sP217(op(e4,e3)),
inference(inequality_splitting,[],[f271,f755]) ).
fof(f755,plain,
~ sP217(op(e1,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP217])]) ).
fof(f271,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4090,plain,
( ~ sP217(e3)
| ~ spl254_238 ),
inference(forward_demodulation,[],[f755,f1975]) ).
fof(f1975,plain,
( e3 = op(e1,e3)
| ~ spl254_238 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f1973,plain,
( spl254_238
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_238])]) ).
fof(f4069,plain,
( ~ spl254_241
| ~ spl254_243 ),
inference(avatar_contradiction_clause,[],[f4068]) ).
fof(f4068,plain,
( $false
| ~ spl254_241
| ~ spl254_243 ),
inference(subsumption_resolution,[],[f4067,f3290]) ).
fof(f3290,plain,
( sP172(e3)
| ~ spl254_243 ),
inference(backward_demodulation,[],[f666,f1998]) ).
fof(f666,plain,
sP172(op(e3,e2)),
inference(inequality_splitting,[],[f316,f665]) ).
fof(f665,plain,
~ sP172(op(e3,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP172])]) ).
fof(f316,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4067,plain,
( ~ sP172(e3)
| ~ spl254_241 ),
inference(forward_demodulation,[],[f665,f1990]) ).
fof(f4038,plain,
~ spl254_160,
inference(avatar_contradiction_clause,[],[f4037]) ).
fof(f4037,plain,
( $false
| ~ spl254_160 ),
inference(subsumption_resolution,[],[f4036,f221]) ).
fof(f4036,plain,
( e2 = e3
| ~ spl254_160 ),
inference(backward_demodulation,[],[f1805,f4035]) ).
fof(f4035,plain,
( e2 = op(e2,e4)
| ~ spl254_160 ),
inference(forward_demodulation,[],[f1579,f338]) ).
fof(f1579,plain,
( e2 = op(e2,op(e2,e2))
| ~ spl254_160 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1577,plain,
( spl254_160
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_160])]) ).
fof(f4012,plain,
( ~ spl254_206
| ~ spl254_289 ),
inference(avatar_contradiction_clause,[],[f4011]) ).
fof(f4011,plain,
( $false
| ~ spl254_206
| ~ spl254_289 ),
inference(subsumption_resolution,[],[f4010,f215]) ).
fof(f4010,plain,
( e0 = e2
| ~ spl254_206
| ~ spl254_289 ),
inference(forward_demodulation,[],[f3998,f2223]) ).
fof(f3998,plain,
( e0 = op(e0,e1)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f225,f1787]) ).
fof(f225,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4009,plain,
( ~ spl254_206
| ~ spl254_291 ),
inference(avatar_contradiction_clause,[],[f4008]) ).
fof(f4008,plain,
( $false
| ~ spl254_206
| ~ spl254_291 ),
inference(subsumption_resolution,[],[f4007,f215]) ).
fof(f4007,plain,
( e0 = e2
| ~ spl254_206
| ~ spl254_291 ),
inference(forward_demodulation,[],[f3997,f2232]) ).
fof(f2232,plain,
( e2 = op(e1,e0)
| ~ spl254_291 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f2230,plain,
( spl254_291
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_291])]) ).
fof(f3970,plain,
( ~ spl254_237
| ~ spl254_255 ),
inference(avatar_contradiction_clause,[],[f3969]) ).
fof(f3969,plain,
( $false
| ~ spl254_237
| ~ spl254_255 ),
inference(subsumption_resolution,[],[f3968,f216]) ).
fof(f3968,plain,
( e0 = e3
| ~ spl254_237
| ~ spl254_255 ),
inference(backward_demodulation,[],[f2052,f1971]) ).
fof(f2052,plain,
( e0 = op(e0,e3)
| ~ spl254_255 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2050,plain,
( spl254_255
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_255])]) ).
fof(f3963,plain,
( ~ spl254_241
| ~ spl254_248 ),
inference(avatar_contradiction_clause,[],[f3962]) ).
fof(f3962,plain,
( $false
| ~ spl254_241
| ~ spl254_248 ),
inference(subsumption_resolution,[],[f3961,f221]) ).
fof(f3961,plain,
( e2 = e3
| ~ spl254_241
| ~ spl254_248 ),
inference(forward_demodulation,[],[f1990,f2022]) ).
fof(f3896,plain,
( spl254_217
| ~ spl254_131 ),
inference(avatar_split_clause,[],[f3732,f1445,f1871]) ).
fof(f3732,plain,
( e3 = op(e4,e1)
| ~ spl254_131 ),
inference(backward_demodulation,[],[f1447,f1813]) ).
fof(f1447,plain,
( e3 = op(e4,op(e3,e4))
| ~ spl254_131 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f3876,plain,
( ~ spl254_125
| ~ spl254_220
| ~ spl254_302 ),
inference(avatar_contradiction_clause,[],[f3875]) ).
fof(f3875,plain,
( $false
| ~ spl254_125
| ~ spl254_220
| ~ spl254_302 ),
inference(subsumption_resolution,[],[f3874,f215]) ).
fof(f3874,plain,
( e0 = e2
| ~ spl254_125
| ~ spl254_220
| ~ spl254_302 ),
inference(forward_demodulation,[],[f3873,f1892]) ).
fof(f3873,plain,
( e0 = op(e0,e4)
| ~ spl254_125
| ~ spl254_302 ),
inference(forward_demodulation,[],[f1418,f2281]) ).
fof(f1418,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl254_125 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1416,plain,
( spl254_125
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_125])]) ).
fof(f3865,plain,
~ spl254_209,
inference(avatar_contradiction_clause,[],[f3864]) ).
fof(f3864,plain,
( $false
| ~ spl254_209 ),
inference(subsumption_resolution,[],[f3863,f217]) ).
fof(f3863,plain,
( e0 = e4
| ~ spl254_209 ),
inference(backward_demodulation,[],[f1821,f3841]) ).
fof(f3841,plain,
( e4 = op(e4,e4)
| ~ spl254_209 ),
inference(backward_demodulation,[],[f232,f1799]) ).
fof(f1799,plain,
( e4 = unit
| ~ spl254_209 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f1797,plain,
( spl254_209
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl254_209])]) ).
fof(f3735,plain,
( ~ spl254_131
| ~ spl254_223 ),
inference(avatar_contradiction_clause,[],[f3734]) ).
fof(f3734,plain,
( $false
| ~ spl254_131
| ~ spl254_223 ),
inference(subsumption_resolution,[],[f3733,f221]) ).
fof(f3733,plain,
( e2 = e3
| ~ spl254_131
| ~ spl254_223 ),
inference(forward_demodulation,[],[f3732,f1907]) ).
fof(f1907,plain,
( e2 = op(e4,e1)
| ~ spl254_223 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1905,plain,
( spl254_223
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_223])]) ).
fof(f3722,plain,
( spl254_225
| ~ spl254_130 ),
inference(avatar_split_clause,[],[f3721,f1441,f1913]) ).
fof(f1441,plain,
( spl254_130
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_130])]) ).
fof(f3721,plain,
( e2 = op(e4,e3)
| ~ spl254_130 ),
inference(forward_demodulation,[],[f1443,f1805]) ).
fof(f1443,plain,
( e2 = op(e4,op(e2,e4))
| ~ spl254_130 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f3716,plain,
( spl254_212
| ~ spl254_132 ),
inference(avatar_split_clause,[],[f3715,f1449,f1848]) ).
fof(f1449,plain,
( spl254_132
<=> e4 = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_132])]) ).
fof(f3715,plain,
( e4 = op(e4,e0)
| ~ spl254_132 ),
inference(forward_demodulation,[],[f1451,f1821]) ).
fof(f1451,plain,
( e4 = op(e4,op(e4,e4))
| ~ spl254_132 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f3711,plain,
~ spl254_208,
inference(avatar_contradiction_clause,[],[f3710]) ).
fof(f3710,plain,
( $false
| ~ spl254_208 ),
inference(subsumption_resolution,[],[f3709,f220]) ).
fof(f220,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3709,plain,
( e1 = e4
| ~ spl254_208 ),
inference(backward_demodulation,[],[f1813,f3691]) ).
fof(f3691,plain,
( e4 = op(e3,e4)
| ~ spl254_208 ),
inference(backward_demodulation,[],[f232,f1795]) ).
fof(f1795,plain,
( e3 = unit
| ~ spl254_208 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f1793,plain,
( spl254_208
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl254_208])]) ).
fof(f3677,plain,
( ~ spl254_233
| ~ spl254_258 ),
inference(avatar_contradiction_clause,[],[f3676]) ).
fof(f3676,plain,
( $false
| ~ spl254_233
| ~ spl254_258 ),
inference(subsumption_resolution,[],[f3675,f217]) ).
fof(f3675,plain,
( e0 = e4
| ~ spl254_233
| ~ spl254_258 ),
inference(backward_demodulation,[],[f2064,f1951]) ).
fof(f1951,plain,
( e4 = op(e3,e3)
| ~ spl254_233 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1949,plain,
( spl254_233
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_233])]) ).
fof(f2064,plain,
( e0 = op(e3,e3)
| ~ spl254_258 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f2062,plain,
( spl254_258
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_258])]) ).
fof(f3593,plain,
( spl254_278
| ~ spl254_113
| ~ spl254_269 ),
inference(avatar_split_clause,[],[f3588,f2123,f1360,f2172]) ).
fof(f1360,plain,
( spl254_113
<=> e0 = op(e2,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_113])]) ).
fof(f3588,plain,
( e0 = op(e2,e1)
| ~ spl254_113
| ~ spl254_269 ),
inference(backward_demodulation,[],[f1362,f2125]) ).
fof(f1362,plain,
( e0 = op(e2,op(e0,e2))
| ~ spl254_113 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f3472,plain,
~ spl254_207,
inference(avatar_contradiction_clause,[],[f3471]) ).
fof(f3471,plain,
( $false
| ~ spl254_207 ),
inference(subsumption_resolution,[],[f3470,f223]) ).
fof(f3470,plain,
( e3 = e4
| ~ spl254_207 ),
inference(forward_demodulation,[],[f3457,f1805]) ).
fof(f3457,plain,
( e4 = op(e2,e4)
| ~ spl254_207 ),
inference(backward_demodulation,[],[f232,f1791]) ).
fof(f1791,plain,
( e2 = unit
| ~ spl254_207 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f1789,plain,
( spl254_207
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl254_207])]) ).
fof(f3374,plain,
~ spl254_232,
inference(avatar_contradiction_clause,[],[f3373]) ).
fof(f3373,plain,
( $false
| ~ spl254_232 ),
inference(subsumption_resolution,[],[f3350,f2365]) ).
fof(f2365,plain,
~ sP176(e4),
inference(forward_demodulation,[],[f673,f338]) ).
fof(f673,plain,
~ sP176(op(e2,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP176])]) ).
fof(f3350,plain,
( sP176(e4)
| ~ spl254_232 ),
inference(backward_demodulation,[],[f674,f1947]) ).
fof(f1947,plain,
( e4 = op(e2,e3)
| ~ spl254_232 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f674,plain,
sP176(op(e2,e3)),
inference(inequality_splitting,[],[f312,f673]) ).
fof(f312,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3251,plain,
( ~ spl254_268
| ~ spl254_273 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
fof(f3250,plain,
( $false
| ~ spl254_268
| ~ spl254_273 ),
inference(subsumption_resolution,[],[f3249,f218]) ).
fof(f3249,plain,
( e1 = e2
| ~ spl254_268
| ~ spl254_273 ),
inference(forward_demodulation,[],[f2146,f2118]) ).
fof(f3171,plain,
( spl254_213
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f3152,f1785,f1852]) ).
fof(f3152,plain,
( e4 = op(e4,e1)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f233,f1787]) ).
fof(f3170,plain,
( ~ spl254_206
| ~ spl254_221 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
fof(f3169,plain,
( $false
| ~ spl254_206
| ~ spl254_221 ),
inference(subsumption_resolution,[],[f3168,f222]) ).
fof(f3168,plain,
( e2 = e4
| ~ spl254_206
| ~ spl254_221 ),
inference(forward_demodulation,[],[f3151,f1896]) ).
fof(f3151,plain,
( e4 = op(e1,e4)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f232,f1787]) ).
fof(f3167,plain,
( spl254_242
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f3150,f1785,f1992]) ).
fof(f3150,plain,
( e3 = op(e3,e1)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f231,f1787]) ).
fof(f231,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3166,plain,
( spl254_238
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f3149,f1785,f1973]) ).
fof(f3149,plain,
( e3 = op(e1,e3)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f230,f1787]) ).
fof(f230,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3165,plain,
( spl254_266
| ~ spl254_206 ),
inference(avatar_split_clause,[],[f3147,f1785,f2103]) ).
fof(f3147,plain,
( e2 = op(e1,e2)
| ~ spl254_206 ),
inference(backward_demodulation,[],[f228,f1787]) ).
fof(f228,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3139,plain,
( ~ spl254_216
| ~ spl254_222 ),
inference(avatar_contradiction_clause,[],[f3138]) ).
fof(f3138,plain,
( $false
| ~ spl254_216
| ~ spl254_222 ),
inference(subsumption_resolution,[],[f3137,f221]) ).
fof(f3137,plain,
( e2 = e3
| ~ spl254_216
| ~ spl254_222 ),
inference(backward_demodulation,[],[f1869,f1903]) ).
fof(f3132,plain,
~ spl254_236,
inference(avatar_contradiction_clause,[],[f3131]) ).
fof(f3131,plain,
( $false
| ~ spl254_236 ),
inference(subsumption_resolution,[],[f3117,f2360]) ).
fof(f2360,plain,
~ sP226(e4),
inference(forward_demodulation,[],[f773,f338]) ).
fof(f773,plain,
~ sP226(op(e2,e2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP226])]) ).
fof(f3117,plain,
( sP226(e4)
| ~ spl254_236 ),
inference(backward_demodulation,[],[f774,f1966]) ).
fof(f1966,plain,
( e4 = op(e3,e2)
| ~ spl254_236 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1964,plain,
( spl254_236
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_236])]) ).
fof(f774,plain,
sP226(op(e3,e2)),
inference(inequality_splitting,[],[f262,f773]) ).
fof(f262,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3040,plain,
( ~ spl254_195
| ~ spl254_277 ),
inference(avatar_split_clause,[],[f3039,f2168,f1736]) ).
fof(f1736,plain,
( spl254_195
<=> sP145(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_195])]) ).
fof(f2168,plain,
( spl254_277
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_277])]) ).
fof(f3039,plain,
( ~ sP145(e0)
| ~ spl254_277 ),
inference(forward_demodulation,[],[f3022,f2170]) ).
fof(f2170,plain,
( e0 = op(e2,e0)
| ~ spl254_277 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f3022,plain,
( ~ sP145(op(e2,e0))
| ~ spl254_277 ),
inference(backward_demodulation,[],[f615,f2170]) ).
fof(f615,plain,
~ sP145(op(e2,op(e2,e0))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP145])]) ).
fof(f2853,plain,
( ~ spl254_205
| ~ spl254_216 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2852,plain,
( $false
| ~ spl254_205
| ~ spl254_216 ),
inference(subsumption_resolution,[],[f2851,f223]) ).
fof(f2851,plain,
( e3 = e4
| ~ spl254_205
| ~ spl254_216 ),
inference(forward_demodulation,[],[f2832,f1869]) ).
fof(f2832,plain,
( e4 = op(e4,e0)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f233,f1783]) ).
fof(f2850,plain,
( ~ spl254_205
| ~ spl254_220 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2849,plain,
( $false
| ~ spl254_205
| ~ spl254_220 ),
inference(subsumption_resolution,[],[f2848,f222]) ).
fof(f2848,plain,
( e2 = e4
| ~ spl254_205
| ~ spl254_220 ),
inference(forward_demodulation,[],[f2831,f1892]) ).
fof(f2831,plain,
( e4 = op(e0,e4)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f232,f1783]) ).
fof(f2847,plain,
( spl254_241
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f2830,f1781,f1988]) ).
fof(f2830,plain,
( e3 = op(e3,e0)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f231,f1783]) ).
fof(f2846,plain,
( spl254_237
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f2829,f1781,f1969]) ).
fof(f2829,plain,
( e3 = op(e0,e3)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f230,f1783]) ).
fof(f2845,plain,
( spl254_265
| ~ spl254_205 ),
inference(avatar_split_clause,[],[f2827,f1781,f2099]) ).
fof(f2827,plain,
( e2 = op(e0,e2)
| ~ spl254_205 ),
inference(backward_demodulation,[],[f228,f1783]) ).
fof(f2822,plain,
( ~ spl254_210
| ~ spl254_220 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2821,plain,
( $false
| ~ spl254_210
| ~ spl254_220 ),
inference(subsumption_resolution,[],[f2820,f222]) ).
fof(f2820,plain,
( e2 = e4
| ~ spl254_210
| ~ spl254_220 ),
inference(forward_demodulation,[],[f1839,f1892]) ).
fof(f2776,plain,
( ~ spl254_6
| ~ spl254_221
| ~ spl254_228 ),
inference(avatar_split_clause,[],[f2771,f1928,f1894,f853]) ).
fof(f853,plain,
( spl254_6
<=> sP36(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_6])]) ).
fof(f2771,plain,
( ~ sP36(e2)
| ~ spl254_221
| ~ spl254_228 ),
inference(backward_demodulation,[],[f2682,f1896]) ).
fof(f2682,plain,
( ~ sP36(op(e1,e4))
| ~ spl254_228 ),
inference(backward_demodulation,[],[f418,f1930]) ).
fof(f418,plain,
~ sP36(op(op(e4,e2),e4)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP36])]) ).
fof(f2756,plain,
( ~ spl254_224
| ~ spl254_228 ),
inference(avatar_contradiction_clause,[],[f2755]) ).
fof(f2755,plain,
( $false
| ~ spl254_224
| ~ spl254_228 ),
inference(subsumption_resolution,[],[f2754,f218]) ).
fof(f2754,plain,
( e1 = e2
| ~ spl254_224
| ~ spl254_228 ),
inference(backward_demodulation,[],[f1930,f1911]) ).
fof(f1911,plain,
( e2 = op(e4,e2)
| ~ spl254_224 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1909,plain,
( spl254_224
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_224])]) ).
fof(f2651,plain,
( ~ spl254_253
| ~ spl254_257 ),
inference(avatar_contradiction_clause,[],[f2650]) ).
fof(f2650,plain,
( $false
| ~ spl254_253
| ~ spl254_257 ),
inference(subsumption_resolution,[],[f2649,f214]) ).
fof(f2649,plain,
( e0 = e1
| ~ spl254_253
| ~ spl254_257 ),
inference(forward_demodulation,[],[f2043,f2060]) ).
fof(f2060,plain,
( e0 = op(e2,e3)
| ~ spl254_257 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f2058,plain,
( spl254_257
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_257])]) ).
fof(f2488,plain,
( ~ spl254_267
| ~ spl254_268 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2487,plain,
( $false
| ~ spl254_267
| ~ spl254_268 ),
inference(subsumption_resolution,[],[f2477,f2459]) ).
fof(f2459,plain,
( sP183(e2)
| ~ spl254_268 ),
inference(backward_demodulation,[],[f688,f2118]) ).
fof(f688,plain,
sP183(op(e2,e1)),
inference(inequality_splitting,[],[f305,f687]) ).
fof(f687,plain,
~ sP183(op(e2,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP183])]) ).
fof(f305,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2477,plain,
( ~ sP183(e2)
| ~ spl254_267 ),
inference(backward_demodulation,[],[f687,f2114]) ).
fof(f2395,plain,
~ spl254_24,
inference(avatar_split_clause,[],[f436,f939]) ).
fof(f939,plain,
( spl254_24
<=> sP45(op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_24])]) ).
fof(f436,plain,
~ sP45(op(e3,e3)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP45])]) ).
fof(f2390,plain,
~ spl254_72,
inference(avatar_split_clause,[],[f484,f1167]) ).
fof(f1167,plain,
( spl254_72
<=> sP69(op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_72])]) ).
fof(f484,plain,
~ sP69(op(e1,e1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP69])]) ).
fof(f2389,plain,
~ spl254_96,
inference(avatar_split_clause,[],[f508,f1281]) ).
fof(f1281,plain,
( spl254_96
<=> sP81(op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl254_96])]) ).
fof(f508,plain,
~ sP81(op(e0,e0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP81])]) ).
fof(f2349,plain,
( spl254_278
| spl254_273
| spl254_268
| spl254_286
| spl254_281 ),
inference(avatar_split_clause,[],[f400,f2185,f2207,f2116,f2144,f2172]) ).
fof(f400,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2345,plain,
( spl254_262
| spl254_271
| spl254_250
| spl254_243
| spl254_236 ),
inference(avatar_split_clause,[],[f406,f1964,f1996,f2028,f2131,f2081]) ).
fof(f406,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2310,plain,
( spl254_308
| spl254_291
| spl254_267
| spl254_248
| spl254_222 ),
inference(avatar_split_clause,[],[f344,f1901,f2020,f2112,f2230,f2307]) ).
fof(f344,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2286,plain,
( spl254_302
| spl254_282
| spl254_303
| spl254_234
| spl254_212 ),
inference(avatar_split_clause,[],[f348,f1848,f1956,f2283,f2190,f2279]) ).
fof(f348,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f2175,plain,
( spl254_277
| spl254_278
| spl254_257 ),
inference(avatar_split_clause,[],[f2166,f2058,f2172,f2168]) ).
fof(f2166,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f2165,f217]) ).
fof(f2165,plain,
( e0 = e4
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(forward_demodulation,[],[f2164,f338]) ).
fof(f2164,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f2163,f216]) ).
fof(f2163,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(forward_demodulation,[],[f359,f1805]) ).
fof(f359,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2147,plain,
( spl254_272
| spl254_273
| spl254_253 ),
inference(avatar_split_clause,[],[f2138,f2041,f2144,f2140]) ).
fof(f2138,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f2137,f220]) ).
fof(f2137,plain,
( e1 = e4
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f2136,f338]) ).
fof(f2136,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f2135,f219]) ).
fof(f2135,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f361,f1805]) ).
fof(f361,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2134,plain,
( spl254_269
| spl254_270
| spl254_271
| spl254_228 ),
inference(avatar_split_clause,[],[f2121,f1928,f2131,f2127,f2123]) ).
fof(f2121,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(subsumption_resolution,[],[f2120,f220]) ).
fof(f2120,plain,
( e1 = e4
| e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(forward_demodulation,[],[f362,f338]) ).
fof(f362,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2095,plain,
( spl254_263
| spl254_264
| spl254_243
| spl254_218 ),
inference(avatar_split_clause,[],[f2086,f1875,f1996,f2092,f2088]) ).
fof(f2086,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f2085,f223]) ).
fof(f2085,plain,
( e3 = e4
| e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f366,f338]) ).
fof(f366,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2069,plain,
( spl254_255
| spl254_256
| spl254_257
| spl254_258
| spl254_259 ),
inference(avatar_split_clause,[],[f370,f2066,f2062,f2058,f2054,f2050]) ).
fof(f370,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2031,plain,
( spl254_248
| spl254_249
| spl254_250
| spl254_247 ),
inference(avatar_split_clause,[],[f2018,f2013,f2028,f2024,f2020]) ).
fof(f2018,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(subsumption_resolution,[],[f2017,f218]) ).
fof(f2017,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(forward_demodulation,[],[f373,f1813]) ).
fof(f373,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1967,plain,
( spl254_234
| spl254_235
| spl254_236
| spl254_233 ),
inference(avatar_split_clause,[],[f1954,f1949,f1964,f1960,f1956]) ).
fof(f1954,plain,
( e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(subsumption_resolution,[],[f1953,f220]) ).
fof(f1953,plain,
( e1 = e4
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(forward_demodulation,[],[f377,f1813]) ).
fof(f377,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1916,plain,
( spl254_222
| spl254_223
| spl254_224
| spl254_225 ),
inference(avatar_split_clause,[],[f1899,f1913,f1909,f1905,f1901]) ).
fof(f1899,plain,
( e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1898,f215]) ).
fof(f1898,plain,
( e0 = e2
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f383,f1821]) ).
fof(f383,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1897,plain,
( spl254_220
| spl254_221 ),
inference(avatar_split_clause,[],[f1888,f1894,f1890]) ).
fof(f1888,plain,
( e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1887,f221]) ).
fof(f1887,plain,
( e2 = e3
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f1886,f1805]) ).
fof(f1886,plain,
( e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1885,f218]) ).
fof(f1885,plain,
( e1 = e2
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f1884,f1813]) ).
fof(f1884,plain,
( e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1883,f215]) ).
fof(f1883,plain,
( e0 = e2
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f384,f1821]) ).
fof(f384,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1882,plain,
( spl254_216
| spl254_217
| spl254_218
| spl254_219 ),
inference(avatar_split_clause,[],[f1865,f1879,f1875,f1871,f1867]) ).
fof(f1865,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1864,f216]) ).
fof(f1864,plain,
( e0 = e3
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f385,f1821]) ).
fof(f385,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1844,plain,
( spl254_210
| spl254_211 ),
inference(avatar_split_clause,[],[f1835,f1841,f1837]) ).
fof(f1835,plain,
( e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1834,f223]) ).
fof(f1834,plain,
( e3 = e4
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f1833,f1805]) ).
fof(f1833,plain,
( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1832,f220]) ).
fof(f1832,plain,
( e1 = e4
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f1831,f1813]) ).
fof(f1831,plain,
( e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1830,f217]) ).
fof(f1830,plain,
( e0 = e4
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f388,f1821]) ).
fof(f388,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1800,plain,
( spl254_205
| spl254_206
| spl254_207
| spl254_208
| spl254_209 ),
inference(avatar_split_clause,[],[f234,f1797,f1793,f1789,f1785,f1781]) ).
fof(f234,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1743,plain,
( spl254_124
| spl254_121
| spl254_195
| spl254_196
| spl254_192 ),
inference(avatar_split_clause,[],[f616,f1721,f1740,f1736,f1398,f1412]) ).
fof(f1412,plain,
( spl254_124
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_124])]) ).
fof(f1398,plain,
( spl254_121
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_121])]) ).
fof(f616,plain,
( e4 = op(e0,op(e4,e0))
| sP144(e0)
| sP145(e0)
| sP1
| sP0 ),
inference(inequality_splitting,[],[f175,f615,f614]) ).
fof(f175,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| sP9
| sP8 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| sP7
| sP6 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP5
| sP4 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP3
| sP2 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1734,plain,
( spl254_124
| spl254_121
| spl254_190
| spl254_194
| spl254_192 ),
inference(avatar_split_clause,[],[f613,f1721,f1731,f1713,f1398,f1412]) ).
fof(f613,plain,
( e4 = op(e0,op(e4,e0))
| sP143(e0)
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(inequality_splitting,[],[f176,f612]) ).
fof(f176,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1598,plain,
( spl254_112
| spl254_109
| spl254_160
| spl254_164
| spl254_162 ),
inference(avatar_split_clause,[],[f575,f1585,f1595,f1577,f1342,f1356]) ).
fof(f1356,plain,
( spl254_112
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_112])]) ).
fof(f1342,plain,
( spl254_109
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_109])]) ).
fof(f575,plain,
( e4 = op(e2,op(e4,e2))
| sP119(e2)
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(inequality_splitting,[],[f192,f574]) ).
fof(f192,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1452,plain,
( spl254_100
| spl254_97
| spl254_130
| spl254_131
| spl254_132 ),
inference(avatar_split_clause,[],[f210,f1449,f1445,f1441,f1286,f1300]) ).
fof(f1300,plain,
( spl254_100
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_100])]) ).
fof(f1286,plain,
( spl254_97
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_97])]) ).
fof(f210,plain,
( e4 = op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1439,plain,
( spl254_93
| spl254_89
| spl254_85
| spl254_81
| spl254_77
| spl254_73
| spl254_69
| spl254_65
| spl254_61
| spl254_57
| spl254_53
| spl254_49
| spl254_45
| spl254_41
| spl254_37
| spl254_33
| spl254_29
| spl254_25
| spl254_21
| spl254_17
| spl254_13
| spl254_9
| spl254_5
| spl254_1
| spl254_129 ),
inference(avatar_split_clause,[],[f533,f1436,f830,f849,f868,f887,f906,f925,f944,f963,f982,f1001,f1020,f1039,f1058,f1077,f1096,f1115,f1134,f1153,f1172,f1191,f1210,f1229,f1248,f1267]) ).
fof(f1267,plain,
( spl254_93
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_93])]) ).
fof(f1248,plain,
( spl254_89
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_89])]) ).
fof(f1229,plain,
( spl254_85
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_85])]) ).
fof(f1210,plain,
( spl254_81
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_81])]) ).
fof(f1191,plain,
( spl254_77
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_77])]) ).
fof(f1172,plain,
( spl254_73
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_73])]) ).
fof(f1153,plain,
( spl254_69
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_69])]) ).
fof(f1134,plain,
( spl254_65
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_65])]) ).
fof(f1115,plain,
( spl254_61
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_61])]) ).
fof(f1096,plain,
( spl254_57
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_57])]) ).
fof(f1077,plain,
( spl254_53
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_53])]) ).
fof(f1058,plain,
( spl254_49
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_49])]) ).
fof(f1039,plain,
( spl254_45
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_45])]) ).
fof(f1020,plain,
( spl254_41
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_41])]) ).
fof(f1001,plain,
( spl254_37
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_37])]) ).
fof(f982,plain,
( spl254_33
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_33])]) ).
fof(f963,plain,
( spl254_29
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_29])]) ).
fof(f944,plain,
( spl254_25
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_25])]) ).
fof(f925,plain,
( spl254_21
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_21])]) ).
fof(f906,plain,
( spl254_17
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_17])]) ).
fof(f887,plain,
( spl254_13
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_13])]) ).
fof(f868,plain,
( spl254_9
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_9])]) ).
fof(f849,plain,
( spl254_5
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_5])]) ).
fof(f830,plain,
( spl254_1
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl254_1])]) ).
fof(f533,plain,
( sP93(op(e4,e4))
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(inequality_splitting,[],[f211,f532]) ).
fof(f211,plain,
( op(e4,e4) != op(e4,e4)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1419,plain,
( ~ spl254_124
| spl254_125 ),
inference(avatar_split_clause,[],[f170,f1416,f1412]) ).
fof(f170,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1410,plain,
( ~ spl254_121
| spl254_123 ),
inference(avatar_split_clause,[],[f527,f1407,f1398]) ).
fof(f527,plain,
( sP90(e0)
| ~ sP1 ),
inference(inequality_splitting,[],[f167,f526]) ).
fof(f167,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1363,plain,
( ~ spl254_112
| spl254_113 ),
inference(avatar_split_clause,[],[f162,f1360,f1356]) ).
fof(f162,plain,
( e0 = op(e2,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1354,plain,
( ~ spl254_109
| spl254_111 ),
inference(avatar_split_clause,[],[f519,f1351,f1342]) ).
fof(f519,plain,
( sP86(e2)
| ~ sP5 ),
inference(inequality_splitting,[],[f159,f518]) ).
fof(f159,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1307,plain,
( ~ spl254_100
| spl254_101 ),
inference(avatar_split_clause,[],[f154,f1304,f1300]) ).
fof(f154,plain,
( e0 = op(e4,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1293,plain,
( ~ spl254_97
| spl254_98 ),
inference(avatar_split_clause,[],[f152,f1290,f1286]) ).
fof(f152,plain,
( e1 = op(e4,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1284,plain,
( ~ spl254_93
| spl254_96 ),
inference(avatar_split_clause,[],[f509,f1281,f1267]) ).
fof(f509,plain,
( sP81(op(e0,e0))
| ~ sP10 ),
inference(inequality_splitting,[],[f148,f508]) ).
fof(f148,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1255,plain,
( ~ spl254_89
| spl254_90 ),
inference(avatar_split_clause,[],[f503,f1252,f1248]) ).
fof(f503,plain,
( sP78(e1)
| ~ sP11 ),
inference(inequality_splitting,[],[f147,f502]) ).
fof(f147,plain,
( e1 != op(op(e0,e1),e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1246,plain,
( ~ spl254_85
| spl254_88 ),
inference(avatar_split_clause,[],[f501,f1243,f1229]) ).
fof(f501,plain,
( sP77(op(e2,e0))
| ~ sP12 ),
inference(inequality_splitting,[],[f142,f500]) ).
fof(f142,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1227,plain,
( ~ spl254_81
| spl254_84 ),
inference(avatar_split_clause,[],[f497,f1224,f1210]) ).
fof(f497,plain,
( sP75(op(e3,e0))
| ~ sP13 ),
inference(inequality_splitting,[],[f139,f496]) ).
fof(f139,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1198,plain,
( ~ spl254_77
| spl254_78 ),
inference(avatar_split_clause,[],[f491,f1195,f1191]) ).
fof(f491,plain,
( sP72(e4)
| ~ sP14 ),
inference(inequality_splitting,[],[f138,f490]) ).
fof(f138,plain,
( e4 != op(op(e0,e4),e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1189,plain,
( ~ spl254_73
| spl254_76 ),
inference(avatar_split_clause,[],[f489,f1186,f1172]) ).
fof(f489,plain,
( sP71(op(e1,e0))
| ~ sP15 ),
inference(inequality_splitting,[],[f133,f488]) ).
fof(f133,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1170,plain,
( ~ spl254_69
| spl254_72 ),
inference(avatar_split_clause,[],[f485,f1167,f1153]) ).
fof(f485,plain,
( sP69(op(e1,e1))
| ~ sP16 ),
inference(inequality_splitting,[],[f130,f484]) ).
fof(f130,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1146,plain,
( ~ spl254_65
| spl254_67 ),
inference(avatar_split_clause,[],[f128,f1143,f1134]) ).
fof(f128,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1127,plain,
( ~ spl254_61
| spl254_63 ),
inference(avatar_split_clause,[],[f125,f1124,f1115]) ).
fof(f125,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1108,plain,
( ~ spl254_57
| spl254_59 ),
inference(avatar_split_clause,[],[f122,f1105,f1096]) ).
fof(f122,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1094,plain,
( ~ spl254_53
| spl254_56 ),
inference(avatar_split_clause,[],[f469,f1091,f1077]) ).
fof(f469,plain,
( sP61(op(e2,e0))
| ~ sP20 ),
inference(inequality_splitting,[],[f118,f468]) ).
fof(f118,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1070,plain,
( ~ spl254_49
| spl254_51 ),
inference(avatar_split_clause,[],[f116,f1067,f1058]) ).
fof(f116,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1056,plain,
( ~ spl254_45
| spl254_48 ),
inference(avatar_split_clause,[],[f461,f1053,f1039]) ).
fof(f461,plain,
( sP57(op(e2,e2))
| ~ sP22 ),
inference(inequality_splitting,[],[f112,f460]) ).
fof(f112,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1027,plain,
( ~ spl254_41
| spl254_42 ),
inference(avatar_split_clause,[],[f455,f1024,f1020]) ).
fof(f455,plain,
( sP54(e3)
| ~ sP23 ),
inference(inequality_splitting,[],[f111,f454]) ).
fof(f111,plain,
( e3 != op(op(e2,e3),e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1013,plain,
( ~ spl254_37
| spl254_39 ),
inference(avatar_split_clause,[],[f107,f1010,f1001]) ).
fof(f107,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f999,plain,
( ~ spl254_33
| spl254_36 ),
inference(avatar_split_clause,[],[f449,f996,f982]) ).
fof(f449,plain,
( sP51(op(e3,e0))
| ~ sP25 ),
inference(inequality_splitting,[],[f103,f448]) ).
fof(f103,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f975,plain,
( ~ spl254_29
| spl254_31 ),
inference(avatar_split_clause,[],[f101,f972,f963]) ).
fof(f101,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f956,plain,
( ~ spl254_25
| spl254_27 ),
inference(avatar_split_clause,[],[f98,f953,f944]) ).
fof(f98,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f942,plain,
( ~ spl254_21
| spl254_24 ),
inference(avatar_split_clause,[],[f437,f939,f925]) ).
fof(f437,plain,
( sP45(op(e3,e3))
| ~ sP28 ),
inference(inequality_splitting,[],[f94,f436]) ).
fof(f94,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f918,plain,
( ~ spl254_17
| spl254_19 ),
inference(avatar_split_clause,[],[f92,f915,f906]) ).
fof(f92,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f894,plain,
( ~ spl254_13
| spl254_14 ),
inference(avatar_split_clause,[],[f427,f891,f887]) ).
fof(f427,plain,
( sP40(e0)
| ~ sP30 ),
inference(inequality_splitting,[],[f90,f426]) ).
fof(f90,plain,
( e0 != op(op(e4,e0),e4)
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f880,plain,
( ~ spl254_9
| spl254_11 ),
inference(avatar_split_clause,[],[f86,f877,f868]) ).
fof(f86,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f856,plain,
( ~ spl254_5
| spl254_6 ),
inference(avatar_split_clause,[],[f419,f853,f849]) ).
fof(f419,plain,
( sP36(e2)
| ~ sP32 ),
inference(inequality_splitting,[],[f84,f418]) ).
fof(f84,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f837,plain,
( ~ spl254_1
| spl254_2 ),
inference(avatar_split_clause,[],[f415,f834,f830]) ).
fof(f415,plain,
( sP34(e3)
| ~ sP33 ),
inference(inequality_splitting,[],[f81,f414]) ).
fof(f81,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP33 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 16:46:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (29123)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.43 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (29122)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (29124)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.44 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (29126)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.44 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (29121)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.44 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (29127)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.44 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (29125)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.49 % (29127)Instruction limit reached!
% 0.21/0.49 % (29127)------------------------------
% 0.21/0.49 % (29127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (29127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (29127)Termination reason: Time limit
% 0.21/0.49 % (29127)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (29127)Memory used [KB]: 1703
% 0.21/0.49 % (29127)Time elapsed: 0.056 s
% 0.21/0.49 % (29127)Instructions burned: 125 (million)
% 0.21/0.50 % (29125)Instruction limit reached!
% 0.21/0.50 % (29125)------------------------------
% 0.21/0.50 % (29125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (29125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (29125)Termination reason: Time limit
% 0.21/0.50 % (29125)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (29125)Memory used [KB]: 1812
% 0.21/0.50 % (29125)Time elapsed: 0.062 s
% 0.21/0.50 % (29125)Instructions burned: 109 (million)
% 0.21/0.51 % (29126)Instruction limit reached!
% 0.21/0.51 % (29126)------------------------------
% 0.21/0.51 % (29126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51 % (29126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51 % (29126)Termination reason: Time limit
% 0.21/0.51 % (29126)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (29126)Memory used [KB]: 2823
% 0.21/0.51 % (29126)Time elapsed: 0.072 s
% 0.21/0.51 % (29126)Instructions burned: 133 (million)
% 0.21/0.53 % (29124)First to succeed.
% 0.21/0.53 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (29128)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.21/0.53 % (29124)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29120"
% 0.21/0.54 % (29120)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (29124)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.54 % (29124)------------------------------
% 1.26/0.54 % (29124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.26/0.54 % (29124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.26/0.54 % (29124)Termination reason: Refutation
% 1.26/0.54
% 1.26/0.54 % (29124)Memory used [KB]: 3062
% 1.26/0.54 % (29124)Time elapsed: 0.102 s
% 1.26/0.54 % (29124)Instructions burned: 205 (million)
% 1.26/0.54 % (29124)------------------------------
% 1.26/0.54 % (29124)------------------------------
% 1.26/0.54 % (29120)Success in time 0.163 s
%------------------------------------------------------------------------------