TSTP Solution File: ALG066+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:28 EDT 2022
% Result : Theorem 2.71s 0.74s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 202
% Syntax : Number of formulae : 450 ( 45 unt; 0 def)
% Number of atoms : 3266 (2464 equ)
% Maximal formula atoms : 425 ( 7 avg)
% Number of connectives : 4497 (1681 ~;1353 |;1398 &)
% ( 65 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 197 ( 195 usr; 196 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5470,plain,
$false,
inference(avatar_sat_refutation,[],[f879,f1428,f1687,f1899,f1947,f1959,f1993,f2016,f2028,f2072,f2099,f2159,f2161,f2164,f2213,f2252,f2259,f2283,f2292,f2293,f2294,f2302,f2310,f2324,f2328,f2335,f2341,f2355,f2358,f2399,f2412,f2452,f2457,f2465,f2515,f2516,f2518,f2519,f2530,f2611,f2833,f3456,f3508,f3544,f3599,f3703,f3715,f3767,f3804,f3972,f4182,f4244,f4321,f4384,f4400,f4413,f4463,f4509,f4535,f4573,f4670,f4897,f4992,f5194,f5285,f5316,f5403]) ).
fof(f5403,plain,
( ~ spl130_131
| ~ spl130_180 ),
inference(avatar_contradiction_clause,[],[f5402]) ).
fof(f5402,plain,
( $false
| ~ spl130_131
| ~ spl130_180 ),
inference(subsumption_resolution,[],[f5401,f868]) ).
fof(f868,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e3 = op(unit,e3)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e1 = op(e1,unit)
& e3 = op(e3,unit)
& e0 = op(unit,e0)
& e2 = op(e2,unit)
& e4 = op(e4,unit)
& e2 = op(unit,e2)
& ( e1 = unit
| e4 = unit
| e2 = unit
| e3 = unit
| e0 = unit )
& e4 = op(unit,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f5401,plain,
( e0 != op(e0,unit)
| ~ spl130_131
| ~ spl130_180 ),
inference(forward_demodulation,[],[f4812,f1455]) ).
fof(f1455,plain,
( e3 = unit
| ~ spl130_131 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1454,plain,
( spl130_131
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_131])]) ).
fof(f4812,plain,
( e0 != op(e0,e3)
| ~ spl130_180 ),
inference(forward_demodulation,[],[f359,f1700]) ).
fof(f1700,plain,
( e0 = op(e4,e3)
| ~ spl130_180 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1698,plain,
( spl130_180
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_180])]) ).
fof(f359,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e0) != op(e4,e3)
& op(e4,e3) != op(e4,e4)
& op(e2,e0) != op(e2,e2)
& op(e0,e0) != op(e0,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e0) != op(e2,e0)
& op(e0,e1) != op(e0,e4)
& op(e3,e0) != op(e4,e0)
& op(e0,e3) != op(e4,e3)
& op(e1,e1) != op(e2,e1)
& op(e4,e1) != op(e4,e3)
& op(e1,e1) != op(e4,e1)
& op(e1,e0) != op(e2,e0)
& op(e4,e1) != op(e4,e4)
& op(e3,e3) != op(e3,e4)
& op(e2,e1) != op(e3,e1)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e1,e3) != op(e4,e3)
& op(e0,e3) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e0) != op(e4,e0)
& op(e0,e2) != op(e4,e2)
& op(e0,e0) != op(e0,e2)
& op(e0,e4) != op(e3,e4)
& op(e1,e0) != op(e1,e4)
& op(e4,e0) != op(e4,e1)
& op(e0,e3) != op(e0,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e4)
& op(e1,e1) != op(e1,e2)
& op(e3,e1) != op(e3,e3)
& op(e1,e4) != op(e2,e4)
& op(e0,e1) != op(e4,e1)
& op(e2,e4) != op(e3,e4)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e4,e0) != op(e4,e2)
& op(e3,e0) != op(e3,e2)
& op(e1,e2) != op(e1,e3)
& op(e2,e2) != op(e2,e3)
& op(e1,e0) != op(e1,e2)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e2,e2)
& op(e2,e1) != op(e4,e1)
& op(e0,e1) != op(e0,e3)
& op(e1,e3) != op(e2,e3)
& op(e4,e0) != op(e4,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e1,e4)
& op(e1,e1) != op(e1,e4)
& op(e0,e0) != op(e4,e0)
& op(e2,e0) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e0) != op(e2,e1)
& op(e1,e1) != op(e1,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e0) != op(e2,e3)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e2,e1)
& op(e2,e4) != op(e4,e4)
& op(e2,e3) != op(e3,e3)
& op(e0,e4) != op(e1,e4)
& op(e2,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e4,e1) != op(e4,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e3,e3)
& op(e0,e2) != op(e1,e2)
& op(e4,e2) != op(e4,e3)
& op(e0,e1) != op(e1,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e3,e2) != op(e4,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e4) != op(e3,e4)
& op(e0,e2) != op(e0,e4)
& op(e1,e0) != op(e3,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e2) != op(e4,e2)
& op(e0,e0) != op(e1,e0)
& op(e4,e2) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5316,plain,
( ~ spl130_71
| ~ spl130_123
| ~ spl130_131 ),
inference(avatar_contradiction_clause,[],[f5315]) ).
fof(f5315,plain,
( $false
| ~ spl130_71
| ~ spl130_123
| ~ spl130_131 ),
inference(subsumption_resolution,[],[f5314,f1182]) ).
fof(f1182,plain,
( e1 = op(e1,e0)
| ~ spl130_71 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1180,plain,
( spl130_71
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_71])]) ).
fof(f5314,plain,
( e1 != op(e1,e0)
| ~ spl130_123
| ~ spl130_131 ),
inference(forward_demodulation,[],[f5313,f5221]) ).
fof(f5221,plain,
( e1 = op(e1,unit)
| ~ spl130_123
| ~ spl130_131 ),
inference(backward_demodulation,[],[f1418,f1455]) ).
fof(f1418,plain,
( e1 = op(e1,e3)
| ~ spl130_123 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1416,plain,
( spl130_123
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_123])]) ).
fof(f5313,plain,
( op(e1,e0) != op(e1,unit)
| ~ spl130_131 ),
inference(forward_demodulation,[],[f284,f1455]) ).
fof(f284,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f5285,plain,
( ~ spl130_86
| ~ spl130_109 ),
inference(avatar_contradiction_clause,[],[f5284]) ).
fof(f5284,plain,
( $false
| ~ spl130_86
| ~ spl130_109 ),
inference(subsumption_resolution,[],[f5118,f377]) ).
fof(f377,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e0 != e3
& e3 != e4
& e0 != e1
& e0 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e0 != e2
& e1 != e3
& e1 != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5118,plain,
( e1 = e4
| ~ spl130_86
| ~ spl130_109 ),
inference(forward_demodulation,[],[f1249,f1354]) ).
fof(f1354,plain,
( e1 = op(e4,e2)
| ~ spl130_109 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1353,plain,
( spl130_109
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_109])]) ).
fof(f1249,plain,
( e4 = op(e4,e2)
| ~ spl130_86 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl130_86
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_86])]) ).
fof(f5194,plain,
( ~ spl130_191
| ~ spl130_66 ),
inference(avatar_split_clause,[],[f3112,f1156,f1752]) ).
fof(f1752,plain,
( spl130_191
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_191])]) ).
fof(f1156,plain,
( spl130_66
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_66])]) ).
fof(f3112,plain,
( e3 != op(e2,e2)
| ~ spl130_66 ),
inference(forward_demodulation,[],[f310,f1158]) ).
fof(f1158,plain,
( e3 = op(e2,e4)
| ~ spl130_66 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f310,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4992,plain,
( ~ spl130_208
| ~ spl130_237 ),
inference(avatar_split_clause,[],[f4991,f2031,f1844]) ).
fof(f1844,plain,
( spl130_208
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_208])]) ).
fof(f2031,plain,
( spl130_237
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_237])]) ).
fof(f4991,plain,
( e2 != op(e2,e2)
| ~ spl130_237 ),
inference(forward_demodulation,[],[f323,f2033]) ).
fof(f2033,plain,
( e2 = op(e0,e2)
| ~ spl130_237 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f323,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4897,plain,
( ~ spl130_222
| ~ spl130_180 ),
inference(avatar_split_clause,[],[f4896,f1698,f1929]) ).
fof(f1929,plain,
( spl130_222
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_222])]) ).
fof(f4896,plain,
( e0 != op(e4,e4)
| ~ spl130_180 ),
inference(forward_demodulation,[],[f369,f1700]) ).
fof(f369,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4670,plain,
( ~ spl130_27
| spl130_106 ),
inference(avatar_contradiction_clause,[],[f4669]) ).
fof(f4669,plain,
( $false
| ~ spl130_27
| spl130_106 ),
inference(subsumption_resolution,[],[f4643,f868]) ).
fof(f4643,plain,
( e0 != op(e0,unit)
| ~ spl130_27
| spl130_106 ),
inference(backward_demodulation,[],[f1342,f985]) ).
fof(f985,plain,
( e1 = unit
| ~ spl130_27 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl130_27
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_27])]) ).
fof(f1342,plain,
( e0 != op(e0,e1)
| spl130_106 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1340,plain,
( spl130_106
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_106])]) ).
fof(f4573,plain,
( ~ spl130_59
| ~ spl130_156 ),
inference(avatar_contradiction_clause,[],[f4572]) ).
fof(f4572,plain,
( $false
| ~ spl130_59
| ~ spl130_156 ),
inference(subsumption_resolution,[],[f4571,f869]) ).
fof(f869,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f4571,plain,
( e1 != op(unit,e1)
| ~ spl130_59
| ~ spl130_156 ),
inference(forward_demodulation,[],[f4570,f1126]) ).
fof(f1126,plain,
( e0 = unit
| ~ spl130_59 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1125,plain,
( spl130_59
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_59])]) ).
fof(f4570,plain,
( e1 != op(e0,e1)
| ~ spl130_156 ),
inference(forward_demodulation,[],[f317,f1577]) ).
fof(f1577,plain,
( e1 = op(e3,e1)
| ~ spl130_156 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1575,plain,
( spl130_156
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_156])]) ).
fof(f317,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4535,plain,
( ~ spl130_43
| ~ spl130_59 ),
inference(avatar_split_clause,[],[f4534,f1125,f1055]) ).
fof(f1055,plain,
( spl130_43
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_43])]) ).
fof(f4534,plain,
( e4 != op(e4,e3)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f4533,f863]) ).
fof(f863,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4533,plain,
( op(e4,e3) != op(e4,unit)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f370,f1126]) ).
fof(f370,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4509,plain,
( ~ spl130_116
| ~ spl130_59 ),
inference(avatar_split_clause,[],[f4508,f1125,f1387]) ).
fof(f1387,plain,
( spl130_116
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_116])]) ).
fof(f4508,plain,
( e3 != op(e3,e1)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f4507,f866]) ).
fof(f866,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4507,plain,
( op(e3,e1) != op(e3,unit)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f338,f1126]) ).
fof(f338,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4463,plain,
( ~ spl130_117
| ~ spl130_66 ),
inference(avatar_split_clause,[],[f3120,f1156,f1391]) ).
fof(f1391,plain,
( spl130_117
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_117])]) ).
fof(f3120,plain,
( e3 != op(e2,e1)
| ~ spl130_66 ),
inference(forward_demodulation,[],[f295,f1158]) ).
fof(f295,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4413,plain,
( ~ spl130_47
| ~ spl130_59 ),
inference(avatar_split_clause,[],[f4412,f1125,f1073]) ).
fof(f1073,plain,
( spl130_47
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_47])]) ).
fof(f4412,plain,
( e3 != op(e3,e4)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f4411,f866]) ).
fof(f4411,plain,
( op(e3,e4) != op(e3,unit)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f337,f1126]) ).
fof(f337,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4400,plain,
( ~ spl130_49
| ~ spl130_59 ),
inference(avatar_split_clause,[],[f4399,f1125,f1082]) ).
fof(f1082,plain,
( spl130_49
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_49])]) ).
fof(f4399,plain,
( e3 != op(e3,e3)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f4398,f866]) ).
fof(f4398,plain,
( op(e3,e3) != op(e3,unit)
| ~ spl130_59 ),
inference(forward_demodulation,[],[f330,f1126]) ).
fof(f330,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4384,plain,
( ~ spl130_59
| ~ spl130_139 ),
inference(avatar_contradiction_clause,[],[f4383]) ).
fof(f4383,plain,
( $false
| ~ spl130_59
| ~ spl130_139 ),
inference(subsumption_resolution,[],[f4382,f866]) ).
fof(f4382,plain,
( e3 != op(e3,unit)
| ~ spl130_59
| ~ spl130_139 ),
inference(forward_demodulation,[],[f4381,f1126]) ).
fof(f4381,plain,
( e3 != op(e3,e0)
| ~ spl130_139 ),
inference(forward_demodulation,[],[f328,f1495]) ).
fof(f1495,plain,
( e3 = op(e3,e2)
| ~ spl130_139 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl130_139
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_139])]) ).
fof(f328,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4321,plain,
( ~ spl130_59
| ~ spl130_64 ),
inference(avatar_contradiction_clause,[],[f4320]) ).
fof(f4320,plain,
( $false
| ~ spl130_59
| ~ spl130_64 ),
inference(subsumption_resolution,[],[f864,f4295]) ).
fof(f4295,plain,
( e2 != op(e2,unit)
| ~ spl130_59
| ~ spl130_64 ),
inference(forward_demodulation,[],[f4294,f1126]) ).
fof(f4294,plain,
( e2 != op(e2,e0)
| ~ spl130_64 ),
inference(forward_demodulation,[],[f311,f1150]) ).
fof(f1150,plain,
( e2 = op(e2,e4)
| ~ spl130_64 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl130_64
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_64])]) ).
fof(f311,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f864,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f4244,plain,
( ~ spl130_53
| ~ spl130_59 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
fof(f4243,plain,
( $false
| ~ spl130_53
| ~ spl130_59 ),
inference(subsumption_resolution,[],[f4242,f870]) ).
fof(f870,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f4242,plain,
( e3 != op(unit,e3)
| ~ spl130_53
| ~ spl130_59 ),
inference(forward_demodulation,[],[f4241,f1126]) ).
fof(f4241,plain,
( e3 != op(e0,e3)
| ~ spl130_53 ),
inference(forward_demodulation,[],[f359,f1100]) ).
fof(f1100,plain,
( e3 = op(e4,e3)
| ~ spl130_53 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1098,plain,
( spl130_53
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_53])]) ).
fof(f4182,plain,
( ~ spl130_174
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f3190,f1353,f1663]) ).
fof(f1663,plain,
( spl130_174
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_174])]) ).
fof(f3190,plain,
( e1 != op(e1,e2)
| ~ spl130_109 ),
inference(forward_demodulation,[],[f273,f1354]) ).
fof(f273,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3972,plain,
( ~ spl130_169
| ~ spl130_5 ),
inference(avatar_split_clause,[],[f3971,f889,f1638]) ).
fof(f1638,plain,
( spl130_169
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_169])]) ).
fof(f889,plain,
( spl130_5
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_5])]) ).
fof(f3971,plain,
( e2 != op(e4,e3)
| ~ spl130_5 ),
inference(forward_demodulation,[],[f357,f891]) ).
fof(f891,plain,
( e2 = op(e4,e1)
| ~ spl130_5 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f357,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3804,plain,
( ~ spl130_59
| spl130_237 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
fof(f3803,plain,
( $false
| ~ spl130_59
| spl130_237 ),
inference(subsumption_resolution,[],[f3802,f862]) ).
fof(f862,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3802,plain,
( e2 != op(unit,e2)
| ~ spl130_59
| spl130_237 ),
inference(forward_demodulation,[],[f2032,f1126]) ).
fof(f2032,plain,
( e2 != op(e0,e2)
| spl130_237 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f3767,plain,
( ~ spl130_59
| ~ spl130_216 ),
inference(avatar_contradiction_clause,[],[f3766]) ).
fof(f3766,plain,
( $false
| ~ spl130_59
| ~ spl130_216 ),
inference(subsumption_resolution,[],[f3765,f863]) ).
fof(f3765,plain,
( e4 != op(e4,unit)
| ~ spl130_59
| ~ spl130_216 ),
inference(forward_demodulation,[],[f3764,f1126]) ).
fof(f3764,plain,
( e4 != op(e4,e0)
| ~ spl130_216 ),
inference(forward_demodulation,[],[f319,f1891]) ).
fof(f1891,plain,
( e4 = op(e4,e4)
| ~ spl130_216 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1889,plain,
( spl130_216
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_216])]) ).
fof(f319,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3715,plain,
( ~ spl130_59
| ~ spl130_155 ),
inference(avatar_contradiction_clause,[],[f3714]) ).
fof(f3714,plain,
( $false
| ~ spl130_59
| ~ spl130_155 ),
inference(subsumption_resolution,[],[f3713,f869]) ).
fof(f3713,plain,
( e1 != op(unit,e1)
| ~ spl130_59
| ~ spl130_155 ),
inference(forward_demodulation,[],[f3712,f1126]) ).
fof(f3712,plain,
( e1 != op(e0,e1)
| ~ spl130_155 ),
inference(forward_demodulation,[],[f302,f1573]) ).
fof(f1573,plain,
( e1 = op(e2,e1)
| ~ spl130_155 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1571,plain,
( spl130_155
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_155])]) ).
fof(f302,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3703,plain,
( ~ spl130_59
| spl130_166 ),
inference(avatar_contradiction_clause,[],[f3702]) ).
fof(f3702,plain,
( $false
| ~ spl130_59
| spl130_166 ),
inference(subsumption_resolution,[],[f3701,f3616]) ).
fof(f3616,plain,
( unit = op(unit,unit)
| ~ spl130_59 ),
inference(backward_demodulation,[],[f868,f1126]) ).
fof(f3701,plain,
( unit != op(unit,unit)
| ~ spl130_59
| spl130_166 ),
inference(forward_demodulation,[],[f1626,f1126]) ).
fof(f1626,plain,
( e0 != op(e0,e0)
| spl130_166 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f1625,plain,
( spl130_166
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_166])]) ).
fof(f3599,plain,
( ~ spl130_106
| ~ spl130_151 ),
inference(avatar_split_clause,[],[f3598,f1553,f1340]) ).
fof(f1553,plain,
( spl130_151
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_151])]) ).
fof(f3598,plain,
( e0 != op(e0,e1)
| ~ spl130_151 ),
inference(forward_demodulation,[],[f288,f1555]) ).
fof(f1555,plain,
( e0 = op(e1,e1)
| ~ spl130_151 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f288,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3544,plain,
( spl130_123
| ~ spl130_131 ),
inference(avatar_contradiction_clause,[],[f3543]) ).
fof(f3543,plain,
( $false
| spl130_123
| ~ spl130_131 ),
inference(subsumption_resolution,[],[f3542,f867]) ).
fof(f867,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3542,plain,
( e1 != op(e1,unit)
| spl130_123
| ~ spl130_131 ),
inference(forward_demodulation,[],[f1417,f1455]) ).
fof(f1417,plain,
( e1 != op(e1,e3)
| spl130_123 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f3508,plain,
( ~ spl130_211
| ~ spl130_151 ),
inference(avatar_split_clause,[],[f3504,f1553,f1859]) ).
fof(f1859,plain,
( spl130_211
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_211])]) ).
fof(f3504,plain,
( e0 != op(e2,e1)
| ~ spl130_151 ),
inference(backward_demodulation,[],[f358,f1555]) ).
fof(f358,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3456,plain,
( spl130_151
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f2514,f1353,f1553]) ).
fof(f2514,plain,
( e0 = op(e1,e1)
| ~ spl130_109 ),
inference(backward_demodulation,[],[f372,f1354]) ).
fof(f372,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f2833,plain,
( ~ spl130_34
| spl130_174 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2832,plain,
( $false
| ~ spl130_34
| spl130_174 ),
inference(subsumption_resolution,[],[f2831,f867]) ).
fof(f2831,plain,
( e1 != op(e1,unit)
| ~ spl130_34
| spl130_174 ),
inference(forward_demodulation,[],[f1664,f1015]) ).
fof(f1015,plain,
( e2 = unit
| ~ spl130_34 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1014,plain,
( spl130_34
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_34])]) ).
fof(f1664,plain,
( e1 != op(e1,e2)
| spl130_174 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f2611,plain,
( ~ spl130_10
| ~ spl130_109 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2610,plain,
( $false
| ~ spl130_10
| ~ spl130_109 ),
inference(subsumption_resolution,[],[f2609,f374]) ).
fof(f374,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2609,plain,
( e1 = e2
| ~ spl130_10
| ~ spl130_109 ),
inference(forward_demodulation,[],[f2600,f862]) ).
fof(f2600,plain,
( e1 = op(unit,e2)
| ~ spl130_10
| ~ spl130_109 ),
inference(backward_demodulation,[],[f1354,f911]) ).
fof(f911,plain,
( e4 = unit
| ~ spl130_10 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f910,plain,
( spl130_10
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_10])]) ).
fof(f2530,plain,
( ~ spl130_181
| ~ spl130_78 ),
inference(avatar_split_clause,[],[f2525,f1211,f1702]) ).
fof(f1702,plain,
( spl130_181
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_181])]) ).
fof(f1211,plain,
( spl130_78
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_78])]) ).
fof(f2525,plain,
( e0 != op(e3,e3)
| ~ spl130_78 ),
inference(backward_demodulation,[],[f335,f1212]) ).
fof(f1212,plain,
( e0 = op(e3,e1)
| ~ spl130_78 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f335,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2519,plain,
( ~ spl130_24
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f2509,f1353,f971]) ).
fof(f971,plain,
( spl130_24
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_24])]) ).
fof(f2509,plain,
( e1 != op(e4,e4)
| ~ spl130_109 ),
inference(backward_demodulation,[],[f271,f1354]) ).
fof(f271,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2518,plain,
( ~ spl130_122
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f2511,f1353,f1412]) ).
fof(f1412,plain,
( spl130_122
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_122])]) ).
fof(f2511,plain,
( e1 != op(e4,e3)
| ~ spl130_109 ),
inference(backward_demodulation,[],[f289,f1354]) ).
fof(f289,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2516,plain,
( ~ spl130_113
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f2510,f1353,f1373]) ).
fof(f1373,plain,
( spl130_113
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_113])]) ).
fof(f2510,plain,
( e1 != op(e3,e2)
| ~ spl130_109 ),
inference(backward_demodulation,[],[f285,f1354]) ).
fof(f285,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2515,plain,
( ~ spl130_136
| ~ spl130_109 ),
inference(avatar_split_clause,[],[f2512,f1353,f1479]) ).
fof(f1479,plain,
( spl130_136
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_136])]) ).
fof(f2512,plain,
( e1 != op(e2,e2)
| ~ spl130_109 ),
inference(backward_demodulation,[],[f292,f1354]) ).
fof(f292,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2465,plain,
( ~ spl130_23
| ~ spl130_26 ),
inference(avatar_split_clause,[],[f2461,f979,f967]) ).
fof(f967,plain,
( spl130_23
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_23])]) ).
fof(f979,plain,
( spl130_26
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_26])]) ).
fof(f2461,plain,
( e1 != op(e3,e4)
| ~ spl130_26 ),
inference(backward_demodulation,[],[f332,f981]) ).
fof(f981,plain,
( e1 = op(e2,e4)
| ~ spl130_26 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f332,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2457,plain,
( ~ spl130_110
| ~ spl130_115 ),
inference(avatar_split_clause,[],[f2449,f1382,f1358]) ).
fof(f1358,plain,
( spl130_110
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_110])]) ).
fof(f1382,plain,
( spl130_115
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_115])]) ).
fof(f2449,plain,
( e4 != op(e3,e1)
| ~ spl130_115 ),
inference(backward_demodulation,[],[f352,f1384]) ).
fof(f1384,plain,
( e4 = op(e2,e1)
| ~ spl130_115 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f352,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2452,plain,
( ~ spl130_42
| ~ spl130_115 ),
inference(avatar_split_clause,[],[f2447,f1382,f1051]) ).
fof(f1051,plain,
( spl130_42
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_42])]) ).
fof(f2447,plain,
( e4 != op(e2,e3)
| ~ spl130_115 ),
inference(backward_demodulation,[],[f296,f1384]) ).
fof(f296,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2412,plain,
( ~ spl130_6
| ~ spl130_62 ),
inference(avatar_split_clause,[],[f2407,f1138,f893]) ).
fof(f893,plain,
( spl130_6
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_6])]) ).
fof(f1138,plain,
( spl130_62
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_62])]) ).
fof(f2407,plain,
( e2 != op(e2,e1)
| ~ spl130_62 ),
inference(backward_demodulation,[],[f309,f1139]) ).
fof(f1139,plain,
( e2 = op(e2,e0)
| ~ spl130_62 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f309,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2399,plain,
( ~ spl130_71
| ~ spl130_73 ),
inference(avatar_split_clause,[],[f2393,f1188,f1180]) ).
fof(f1188,plain,
( spl130_73
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_73])]) ).
fof(f2393,plain,
( e1 != op(e1,e0)
| ~ spl130_73 ),
inference(backward_demodulation,[],[f275,f1190]) ).
fof(f1190,plain,
( e1 = op(e3,e0)
| ~ spl130_73 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f275,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2358,plain,
( ~ spl130_59
| ~ spl130_260
| ~ spl130_166 ),
inference(avatar_split_clause,[],[f700,f1625,f2307,f1125]) ).
fof(f2307,plain,
( spl130_260
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_260])]) ).
fof(f700,plain,
( e0 != op(e0,e0)
| ~ sP29
| e0 != unit ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f2355,plain,
( spl130_64
| ~ spl130_85 ),
inference(avatar_split_clause,[],[f762,f1243,f1148]) ).
fof(f1243,plain,
( spl130_85
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_85])]) ).
fof(f762,plain,
( e4 != op(e2,e2)
| e2 = op(e2,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( sP129
| sP128
| sP127
| sP126
| sP125 )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) ) ),
inference(definition_folding,[],[f9,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( e1 != op(e4,e3)
| ( e1 != unit
& e3 = op(e4,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1)
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3)
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( e1 != op(e1,e2)
| ( e2 = op(e1,e1)
& e1 != unit )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( e1 != op(e3,e4)
| ( e4 = op(e3,e1)
& e1 != unit )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0)
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2)
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( e1 != op(e2,e1)
| ( e1 = op(e2,e1)
& e1 != unit )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( e1 != op(e3,e2)
| ( e1 != unit
& e2 = op(e3,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e3)
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( e1 != op(e2,e0)
| ( e1 != unit
& e0 = op(e2,e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4)
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( e0 != op(e2,e1)
| ( e1 = op(e2,e0)
& e0 != unit )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2)
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f40,plain,
( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( op(e0,e0) = e2
& e0 != unit )
| e0 != op(e0,e2)
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( ( op(e0,e0) = e4
& e0 != unit )
| e0 != op(e0,e4)
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1)
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0)
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e0 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e0)
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( e0 != op(e1,e3)
| ( e3 = op(e1,e0)
& e0 != unit )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( e0 != op(e3,e3)
| ( e0 != unit
& e3 = op(e3,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( e0 != op(e1,e2)
| ( e0 != unit
& e2 = op(e1,e0) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( op(e0,e0) != e2
| ( e0 = op(e0,e2)
& e2 != unit )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0)
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f63,plain,
( ( e4 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e4)
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f64,plain,
( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2)
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f68,plain,
( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f69,plain,
( ( e1 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e1)
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( e2 != op(e4,e1)
| ( e1 = op(e4,e2)
& e2 != unit )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e4 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e4)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3)
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e2 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e2)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f76,plain,
( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0)
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f77,plain,
( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2)
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( e2 != op(e2,e3)
| ( e2 != unit
& e3 = op(e2,e2) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f79,plain,
( ( e3 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e3)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0)
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f83,plain,
( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f84,plain,
( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f86,plain,
( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2)
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3)
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( op(e0,e0) != e4
| ( e0 = op(e0,e4)
& e4 != unit )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f90,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4)
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( e4 != op(e1,e4)
| ( e4 = op(e1,e4)
& e4 != unit )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3)
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( e4 != op(e1,e0)
| ( e4 != unit
& e0 = op(e1,e4) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e1 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e1)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3)
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1)
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f106,plain,
( ( e4 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e4)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f107,plain,
( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( e4 != op(e4,e2)
| ( e2 = op(e4,e4)
& e4 != unit )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e4 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e4)
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f110,plain,
( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f111,plain,
( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f112,plain,
( e3 != op(e4,e3)
| ( e3 = op(e4,e3)
& e3 != unit )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f113,plain,
( ( e3 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e3)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f115,plain,
( ( e0 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e0)
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f116,plain,
( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f117,plain,
( e3 != op(e2,e4)
| ( e4 = op(e2,e3)
& e3 != unit )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( e3 != op(e1,e1)
| ( e3 != unit
& e1 = op(e1,e3) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( e3 != op(e2,e2)
| ( e3 != unit
& e2 = op(e2,e3) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( e3 != op(e1,e4)
| ( e4 = op(e1,e3)
& e3 != unit )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( e3 != op(e4,e1)
| ( e1 = op(e4,e3)
& e3 != unit )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f124,plain,
( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3)
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f125,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f126,plain,
( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f127,plain,
( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1)
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f128,plain,
( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( e3 != op(e0,e1)
| ( e1 = op(e0,e3)
& e3 != unit )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f130,plain,
( e3 != op(e0,e3)
| ( e3 != unit
& e3 = op(e0,e3) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f131,plain,
( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f132,plain,
( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f133,plain,
( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f134,plain,
( op(e0,e0) != e3
| ( e3 != unit
& e0 = op(e0,e3) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f9,plain,
( ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( ( ( op(e0,e0) != e3
| ( e3 != unit
& e0 = op(e0,e3) ) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e0,e3)
| ( e3 != unit
& e3 = op(e0,e3) ) )
& ( e3 != op(e0,e1)
| ( e1 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( e3 != op(e4,e1)
| ( e1 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e1,e4)
| ( e4 = op(e1,e3)
& e3 != unit ) )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( e3 != op(e2,e2)
| ( e3 != unit
& e2 = op(e2,e3) ) )
& ( e3 != op(e1,e1)
| ( e3 != unit
& e1 = op(e1,e3) ) )
& ( e3 != op(e2,e4)
| ( e4 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e3) )
& ( e3 != op(e4,e3)
| ( e3 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit ) ) )
| ( ( ( e4 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e4) )
& ( e4 != op(e4,e2)
| ( e2 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( ( e1 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e1) )
& ( e4 != op(e1,e0)
| ( e4 != unit
& e0 = op(e1,e4) ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( e4 != op(e1,e4)
| ( e4 = op(e1,e4)
& e4 != unit ) )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( op(e0,e0) != e4
| ( e0 = op(e0,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) ) )
| ( ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) )
& ( ( e3 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e3) )
& ( e2 != op(e2,e3)
| ( e2 != unit
& e3 = op(e2,e2) ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) ) )
& ( ( e2 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e4 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e4) )
& ( e2 != op(e4,e1)
| ( e1 = op(e4,e2)
& e2 != unit ) )
& ( ( e1 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e1) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e4 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e4) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( op(e0,e0) != e2
| ( e0 = op(e0,e2)
& e2 != unit ) ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( e0 != op(e1,e2)
| ( e0 != unit
& e2 = op(e1,e0) ) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( e0 != op(e3,e3)
| ( e0 != unit
& e3 = op(e3,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e1,e3)
| ( e3 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e0) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( op(e0,e0) = e4
& e0 != unit )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( op(e0,e0) = e2
& e0 != unit )
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e2,e1)
| ( e1 = op(e2,e0)
& e0 != unit ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) ) )
| ( ( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) ) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( e1 != op(e2,e0)
| ( e1 != unit
& e0 = op(e2,e1) ) )
& ( ( e3 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e3) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( e1 != op(e3,e2)
| ( e1 != unit
& e2 = op(e3,e1) ) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( e1 != op(e2,e1)
| ( e1 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e3,e4)
| ( e4 = op(e3,e1)
& e1 != unit ) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 )
& ( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e2)
| ( e2 = op(e1,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( e1 != op(e4,e3)
| ( e1 != unit
& e3 = op(e4,e1) ) ) ) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( ( ( op(e0,e0) != e3
| ( e3 != unit
& e0 = op(e0,e3) ) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e0,e3)
| ( e3 != unit
& e3 = op(e0,e3) ) )
& ( e3 != op(e0,e1)
| ( e1 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( e3 != op(e4,e1)
| ( e1 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e1,e4)
| ( e4 = op(e1,e3)
& e3 != unit ) )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( e3 != op(e2,e2)
| ( e3 != unit
& e2 = op(e2,e3) ) )
& ( e3 != op(e1,e1)
| ( e3 != unit
& e1 = op(e1,e3) ) )
& ( e3 != op(e2,e4)
| ( e4 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e3) )
& ( e3 != op(e4,e3)
| ( e3 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit ) ) )
| ( ( ( e4 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e4) )
& ( e4 != op(e4,e2)
| ( e2 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( ( e1 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e1) )
& ( e4 != op(e1,e0)
| ( e4 != unit
& e0 = op(e1,e4) ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( e4 != op(e1,e4)
| ( e4 = op(e1,e4)
& e4 != unit ) )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( op(e0,e0) != e4
| ( e0 = op(e0,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) ) )
| ( ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) )
& ( ( e3 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e3) )
& ( e2 != op(e2,e3)
| ( e2 != unit
& e3 = op(e2,e2) ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) ) )
& ( ( e2 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e4 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e4) )
& ( e2 != op(e4,e1)
| ( e1 = op(e4,e2)
& e2 != unit ) )
& ( ( e1 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e1) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e4 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e4) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( op(e0,e0) != e2
| ( e0 = op(e0,e2)
& e2 != unit ) ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( e0 != op(e1,e2)
| ( e0 != unit
& e2 = op(e1,e0) ) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( e0 != op(e3,e3)
| ( e0 != unit
& e3 = op(e3,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e1,e3)
| ( e3 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e0) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( op(e0,e0) = e4
& e0 != unit )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( op(e0,e0) = e2
& e0 != unit )
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e2,e1)
| ( e1 = op(e2,e0)
& e0 != unit ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) ) )
| ( ( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) ) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( e1 != op(e2,e0)
| ( e1 != unit
& e0 = op(e2,e1) ) )
& ( ( e3 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e3) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( e1 != op(e3,e2)
| ( e1 != unit
& e2 = op(e3,e1) ) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( e1 != op(e2,e1)
| ( e1 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e3,e4)
| ( e4 = op(e3,e1)
& e1 != unit ) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 )
& ( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e2)
| ( e2 = op(e1,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( e1 != op(e4,e3)
| ( e1 != unit
& e3 = op(e4,e1) ) ) ) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( ( ( op(e0,e0) != e3
| ( e3 != unit
& e0 = op(e0,e3) ) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e0,e3)
| ( e3 != unit
& e3 = op(e0,e3) ) )
& ( e3 != op(e0,e1)
| ( e1 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( e3 != op(e4,e1)
| ( e1 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e1,e4)
| ( e4 = op(e1,e3)
& e3 != unit ) )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( e3 != op(e2,e2)
| ( e3 != unit
& e2 = op(e2,e3) ) )
& ( e3 != op(e1,e1)
| ( e3 != unit
& e1 = op(e1,e3) ) )
& ( e3 != op(e2,e4)
| ( e4 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e3) )
& ( e3 != op(e4,e3)
| ( e3 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit ) ) )
| ( ( ( e4 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e4) )
& ( e4 != op(e4,e2)
| ( e2 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( ( e1 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e1) )
& ( e4 != op(e1,e0)
| ( e4 != unit
& e0 = op(e1,e4) ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( e4 != op(e1,e4)
| ( e4 = op(e1,e4)
& e4 != unit ) )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( op(e0,e0) != e4
| ( e0 = op(e0,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) ) )
| ( ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) )
& ( ( e3 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e3) )
& ( e2 != op(e2,e3)
| ( e2 != unit
& e3 = op(e2,e2) ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) ) )
& ( ( e2 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e4 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e4) )
& ( e2 != op(e4,e1)
| ( e1 = op(e4,e2)
& e2 != unit ) )
& ( ( e1 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e1) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e4 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e4) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( op(e0,e0) != e2
| ( e0 = op(e0,e2)
& e2 != unit ) ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( e0 != op(e1,e2)
| ( e0 != unit
& e2 = op(e1,e0) ) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( e0 != op(e3,e3)
| ( e0 != unit
& e3 = op(e3,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e1,e3)
| ( e3 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e0) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( op(e0,e0) = e4
& e0 != unit )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( op(e0,e0) = e2
& e0 != unit )
| e0 != op(e0,e2) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e2,e1)
| ( e1 = op(e2,e0)
& e0 != unit ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) ) )
| ( ( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) ) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( e1 != op(e2,e0)
| ( e1 != unit
& e0 = op(e2,e1) ) )
& ( ( e3 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e3) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( e1 != op(e3,e2)
| ( e1 != unit
& e2 = op(e3,e1) ) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( e1 != op(e2,e1)
| ( e1 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e3,e4)
| ( e4 = op(e3,e1)
& e1 != unit ) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 )
& ( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e2)
| ( e2 = op(e1,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( e1 != op(e4,e3)
| ( e1 != unit
& e3 = op(e4,e1) ) ) ) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2341,plain,
( spl130_161
| spl130_235
| spl130_216
| spl130_222
| spl130_24 ),
inference(avatar_split_clause,[],[f840,f971,f1929,f1889,f2018,f1601]) ).
fof(f1601,plain,
( spl130_161
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_161])]) ).
fof(f2018,plain,
( spl130_235
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_235])]) ).
fof(f840,plain,
( e1 = op(e4,e4)
| e0 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e3,e2)
| e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| e2 = op(e2,e1) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e4 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e1 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0)
| e4 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e2 = op(e1,e4)
| e1 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e0 = op(e4,e2)
| e2 = op(e4,e2) )
& ( e1 = op(e3,e3)
| e4 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3)
| e2 = op(e4,e3) )
& ( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e1 = op(e2,e0)
| e4 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e0 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1) )
& ( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e4 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e1 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e0 = op(e0,e3)
| e2 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e2 = op(e4,e4)
| e1 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e4 = op(e4,e4) )
& ( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2) )
& ( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4) )
& ( op(e0,e0) = e4
| op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e3
| op(e0,e0) = e2 )
& ( e4 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2335,plain,
( ~ spl130_60
| spl130_62 ),
inference(avatar_split_clause,[],[f773,f1138,f1130]) ).
fof(f1130,plain,
( spl130_60
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_60])]) ).
fof(f773,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f2328,plain,
( spl130_208
| spl130_191
| spl130_136
| spl130_60
| spl130_85 ),
inference(avatar_split_clause,[],[f854,f1243,f1130,f1479,f1752,f1844]) ).
fof(f854,plain,
( e4 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2324,plain,
( spl130_43
| ~ spl130_161 ),
inference(avatar_split_clause,[],[f769,f1601,f1055]) ).
fof(f769,plain,
( e3 != op(e4,e4)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f2310,plain,
( ~ spl130_12
| spl130_260 ),
inference(avatar_split_clause,[],[f463,f2307,f919]) ).
fof(f919,plain,
( spl130_12
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_12])]) ).
fof(f463,plain,
( sP29
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f2302,plain,
( ~ spl130_21
| spl130_108 ),
inference(avatar_split_clause,[],[f506,f1349,f958]) ).
fof(f958,plain,
( spl130_21
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_21])]) ).
fof(f1349,plain,
( spl130_108
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_108])]) ).
fof(f506,plain,
( sP22
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f2294,plain,
( ~ spl130_235
| spl130_86 ),
inference(avatar_split_clause,[],[f763,f1247,f2018]) ).
fof(f763,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f2293,plain,
( spl130_49
| spl130_41
| spl130_105
| spl130_124
| spl130_181 ),
inference(avatar_split_clause,[],[f850,f1702,f1420,f1335,f1047,f1082]) ).
fof(f1047,plain,
( spl130_41
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_41])]) ).
fof(f1335,plain,
( spl130_105
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_105])]) ).
fof(f1420,plain,
( spl130_124
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_124])]) ).
fof(f850,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e4 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2292,plain,
( spl130_53
| spl130_43
| spl130_122
| spl130_169
| spl130_180 ),
inference(avatar_split_clause,[],[f849,f1698,f1638,f1412,f1055,f1098]) ).
fof(f849,plain,
( e0 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e4 = op(e4,e3)
| e3 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2283,plain,
spl130_109,
inference(avatar_split_clause,[],[f371,f1353]) ).
fof(f371,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f2259,plain,
( spl130_254
| ~ spl130_55 ),
inference(avatar_split_clause,[],[f391,f1107,f2156]) ).
fof(f2156,plain,
( spl130_254
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_254])]) ).
fof(f1107,plain,
( spl130_55
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_55])]) ).
fof(f391,plain,
( ~ sP129
| sP107 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f2252,plain,
( spl130_220
| ~ spl130_40 ),
inference(avatar_split_clause,[],[f425,f1042,f1917]) ).
fof(f1917,plain,
( spl130_220
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_220])]) ).
fof(f1042,plain,
( spl130_40
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_40])]) ).
fof(f425,plain,
( ~ sP128
| sP91 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f2213,plain,
( spl130_23
| spl130_73
| spl130_156
| spl130_124
| spl130_113 ),
inference(avatar_split_clause,[],[f816,f1373,f1420,f1575,f1188,f967]) ).
fof(f816,plain,
( e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e0)
| op(e0,e0) = e4
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e4)
| e1 = op(e4,e1) )
& ( e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e3) )
& ( e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e4) )
& ( e4 = op(e1,e4)
| e4 = op(e2,e4)
| e4 = op(e3,e4)
| e4 = op(e4,e4)
| e4 = op(e0,e4) )
& ( e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e4,e0)
| op(e0,e0) = e2
| e2 = op(e1,e0) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e3 = op(e4,e2)
| e3 = op(e1,e2) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e0) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e4)
| op(e0,e0) = e2
| e2 = op(e0,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e4)
| e2 = op(e2,e0)
| e2 = op(e2,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e4) )
& ( e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0) )
& ( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e4,e2) )
& ( e3 = op(e4,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e2,e0) )
& ( e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e4) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3)
| e3 = op(e2,e4) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e4)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3) )
& ( op(e0,e0) = e4
| e4 = op(e0,e3)
| e4 = op(e0,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e4,e1)
| e0 = op(e2,e1) )
& ( e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0)
| e1 = op(e4,e0)
| op(e0,e0) = e1 )
& ( e3 = op(e2,e1)
| e3 = op(e4,e1)
| e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e4,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e4,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) )
& ( e1 = op(e0,e2)
| e1 = op(e0,e4)
| e1 = op(e0,e3)
| op(e0,e0) = e1
| e1 = op(e0,e1) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e4)
| e0 = op(e2,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e1,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4)
| e3 = op(e2,e4) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e4) )
& ( e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e2,e1)
| e1 = op(e4,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1) )
& ( e3 = op(e0,e4)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e4 = op(e0,e3)
| e4 = op(e3,e3)
| e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e2,e3) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e2) )
& ( e1 = op(e4,e4)
| e1 = op(e2,e4)
| e1 = op(e0,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e0)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e1) )
& ( e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e4)
| e4 = op(e4,e0)
| e4 = op(e4,e3) )
& ( e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e4) )
& ( e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e0,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e1) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2) )
& ( e0 = op(e3,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e3)
| e4 = op(e2,e4)
| e4 = op(e2,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4)
| e2 = op(e0,e4)
| e2 = op(e2,e4) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e2) )
& ( e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e4,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2164,plain,
( spl130_40
| spl130_12
| spl130_2
| spl130_21
| spl130_55 ),
inference(avatar_split_clause,[],[f765,f1107,f958,f876,f919,f1042]) ).
fof(f876,plain,
( spl130_2
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_2])]) ).
fof(f765,plain,
( sP129
| sP125
| sP127
| sP126
| sP128 ),
inference(cnf_transformation,[],[f140]) ).
fof(f2161,plain,
( spl130_155
| spl130_211
| spl130_117
| spl130_115
| spl130_6 ),
inference(avatar_split_clause,[],[f858,f893,f1382,f1391,f1859,f1571]) ).
fof(f858,plain,
( e2 = op(e2,e1)
| e4 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2159,plain,
( ~ spl130_254
| ~ spl130_66
| spl130_42 ),
inference(avatar_split_clause,[],[f544,f1051,f1156,f2156]) ).
fof(f544,plain,
( e4 = op(e2,e3)
| e3 != op(e2,e4)
| ~ sP107 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( e3 != op(e2,e4)
| ( e4 = op(e2,e3)
& e3 != unit )
| ~ sP107 ),
inference(nnf_transformation,[],[f117]) ).
fof(f2099,plain,
( ~ spl130_105
| spl130_139 ),
inference(avatar_split_clause,[],[f772,f1493,f1335]) ).
fof(f772,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f2072,plain,
( spl130_27
| spl130_59
| spl130_131
| spl130_34
| spl130_10 ),
inference(avatar_split_clause,[],[f861,f910,f1014,f1454,f1125,f984]) ).
fof(f861,plain,
( e4 = unit
| e2 = unit
| e3 = unit
| e0 = unit
| e1 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f2028,plain,
( ~ spl130_109
| ~ spl130_108
| spl130_5 ),
inference(avatar_split_clause,[],[f713,f889,f1349,f1353]) ).
fof(f713,plain,
( e2 = op(e4,e1)
| ~ sP22
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2016,plain,
( spl130_156
| spl130_78
| spl130_7
| spl130_110
| spl130_116 ),
inference(avatar_split_clause,[],[f855,f1387,f1358,f897,f1211,f1575]) ).
fof(f897,plain,
( spl130_7
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_7])]) ).
fof(f855,plain,
( e3 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1993,plain,
( spl130_26
| ~ spl130_220
| ~ spl130_115 ),
inference(avatar_split_clause,[],[f576,f1382,f1917,f979]) ).
fof(f576,plain,
( e4 != op(e2,e1)
| ~ sP91
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e1 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e1)
| ~ sP91 ),
inference(nnf_transformation,[],[f101]) ).
fof(f1959,plain,
( ~ spl130_151
| spl130_71 ),
inference(avatar_split_clause,[],[f778,f1180,f1553]) ).
fof(f778,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1947,plain,
( ~ spl130_7
| ~ spl130_1
| spl130_113 ),
inference(avatar_split_clause,[],[f640,f1373,f872,f897]) ).
fof(f872,plain,
( spl130_1
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_1])]) ).
fof(f640,plain,
( e1 = op(e3,e2)
| ~ sP59
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e1 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e1)
| ~ sP59 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1899,plain,
( spl130_116
| ~ spl130_124 ),
inference(avatar_split_clause,[],[f777,f1420,f1387]) ).
fof(f777,plain,
( e1 != op(e3,e3)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1687,plain,
spl130_66,
inference(avatar_split_clause,[],[f373,f1156]) ).
fof(f373,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f1428,plain,
( ~ spl130_41
| spl130_47 ),
inference(avatar_split_clause,[],[f770,f1073,f1047]) ).
fof(f770,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f879,plain,
( spl130_1
| ~ spl130_2 ),
inference(avatar_split_clause,[],[f443,f876,f872]) ).
fof(f443,plain,
( ~ sP127
| sP59 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:51:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (10978)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56 % (10977)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (10970)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (10962)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (10961)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57 % (10957)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (10968)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.57 % (10979)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57 % (10971)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57 % (10985)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.58 % (10963)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (10976)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.58 % (10984)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.59 % (10963)Instruction limit reached!
% 0.20/0.59 % (10963)------------------------------
% 0.20/0.59 % (10963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (10963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (10963)Termination reason: Unknown
% 0.20/0.59 % (10963)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (10963)Memory used [KB]: 1279
% 0.20/0.59 % (10963)Time elapsed: 0.012 s
% 0.20/0.59 % (10963)Instructions burned: 8 (million)
% 0.20/0.59 % (10963)------------------------------
% 0.20/0.59 % (10963)------------------------------
% 1.62/0.61 % (10969)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.61 % (10959)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.61 % (10958)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.62/0.61 % (10956)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.62/0.62 % (10964)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.62/0.62 % (10964)Instruction limit reached!
% 1.62/0.62 % (10964)------------------------------
% 1.62/0.62 % (10964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (10964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (10964)Termination reason: Unknown
% 1.62/0.62 % (10964)Termination phase: Naming
% 1.62/0.62
% 1.62/0.62 % (10964)Memory used [KB]: 1023
% 1.62/0.62 % (10964)Time elapsed: 0.003 s
% 1.62/0.62 % (10964)Instructions burned: 3 (million)
% 1.62/0.62 % (10964)------------------------------
% 1.62/0.62 % (10964)------------------------------
% 1.62/0.62 % (10967)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.62 % (10982)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.96/0.63 % (10974)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.63 % (10973)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.96/0.63 % (10980)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.96/0.63 % (10983)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.96/0.63 % (10972)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.63 % (10966)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.63 % (10965)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.63 % (10975)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.64 % (10960)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.64 % (10981)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.16/0.67 % (10962)Instruction limit reached!
% 2.16/0.67 % (10962)------------------------------
% 2.16/0.67 % (10962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.67 % (10962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.67 % (10962)Termination reason: Unknown
% 2.16/0.67 % (10962)Termination phase: Finite model building preprocessing
% 2.16/0.67
% 2.16/0.67 % (10962)Memory used [KB]: 2686
% 2.16/0.67 % (10962)Time elapsed: 0.029 s
% 2.16/0.67 % (10962)Instructions burned: 51 (million)
% 2.16/0.67 % (10962)------------------------------
% 2.16/0.67 % (10962)------------------------------
% 2.16/0.67 % (10961)Instruction limit reached!
% 2.16/0.67 % (10961)------------------------------
% 2.16/0.67 % (10961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.67 % (10961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.67 % (10961)Termination reason: Unknown
% 2.16/0.67 % (10961)Termination phase: Saturation
% 2.16/0.67
% 2.16/0.67 % (10961)Memory used [KB]: 6908
% 2.16/0.67 % (10961)Time elapsed: 0.235 s
% 2.16/0.67 % (10961)Instructions burned: 48 (million)
% 2.16/0.67 % (10961)------------------------------
% 2.16/0.67 % (10961)------------------------------
% 2.16/0.68 % (10971)Instruction limit reached!
% 2.16/0.68 % (10971)------------------------------
% 2.16/0.68 % (10971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.68 % (10971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.68 % (10971)Termination reason: Unknown
% 2.16/0.68 % (10971)Termination phase: Saturation
% 2.16/0.68
% 2.16/0.68 % (10971)Memory used [KB]: 1791
% 2.16/0.68 % (10971)Time elapsed: 0.090 s
% 2.16/0.68 % (10971)Instructions burned: 75 (million)
% 2.16/0.68 % (10971)------------------------------
% 2.16/0.68 % (10971)------------------------------
% 2.16/0.70 % (10958)Instruction limit reached!
% 2.16/0.70 % (10958)------------------------------
% 2.16/0.70 % (10958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70 % (10958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70 % (10958)Termination reason: Unknown
% 2.16/0.70 % (10958)Termination phase: Saturation
% 2.16/0.70
% 2.16/0.70 % (10958)Memory used [KB]: 1535
% 2.16/0.70 % (10958)Time elapsed: 0.028 s
% 2.16/0.70 % (10958)Instructions burned: 37 (million)
% 2.16/0.70 % (10958)------------------------------
% 2.16/0.70 % (10958)------------------------------
% 2.16/0.70 % (10957)Instruction limit reached!
% 2.16/0.70 % (10957)------------------------------
% 2.16/0.70 % (10957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70 % (10957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70 % (10957)Termination reason: Unknown
% 2.16/0.70 % (10957)Termination phase: Saturation
% 2.16/0.70
% 2.16/0.70 % (10957)Memory used [KB]: 7036
% 2.16/0.70 % (10957)Time elapsed: 0.039 s
% 2.16/0.70 % (10957)Instructions burned: 50 (million)
% 2.16/0.70 % (10957)------------------------------
% 2.16/0.70 % (10957)------------------------------
% 2.16/0.71 % (10979)First to succeed.
% 2.16/0.71 % (10970)Instruction limit reached!
% 2.16/0.71 % (10970)------------------------------
% 2.16/0.71 % (10970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.71 % (10970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.71 % (10970)Termination reason: Unknown
% 2.16/0.71 % (10970)Termination phase: Saturation
% 2.16/0.71
% 2.16/0.71 % (10970)Memory used [KB]: 7036
% 2.16/0.71 % (10970)Time elapsed: 0.052 s
% 2.16/0.71 % (10970)Instructions burned: 69 (million)
% 2.16/0.71 % (10970)------------------------------
% 2.16/0.71 % (10970)------------------------------
% 2.71/0.74 % (10977)Also succeeded, but the first one will report.
% 2.71/0.74 % (10979)Refutation found. Thanks to Tanya!
% 2.71/0.74 % SZS status Theorem for theBenchmark
% 2.71/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/0.74 % (10979)------------------------------
% 2.71/0.74 % (10979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74 % (10979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.74 % (10979)Termination reason: Refutation
% 2.71/0.74
% 2.71/0.74 % (10979)Memory used [KB]: 8315
% 2.71/0.74 % (10979)Time elapsed: 0.159 s
% 2.71/0.74 % (10979)Instructions burned: 97 (million)
% 2.71/0.74 % (10979)------------------------------
% 2.71/0.74 % (10979)------------------------------
% 2.71/0.74 % (10951)Success in time 0.382 s
%------------------------------------------------------------------------------