TSTP Solution File: ALG044+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG044+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 : n016.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 15:42:17 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 124
% Syntax : Number of formulae : 383 ( 69 unt; 0 def)
% Number of atoms : 2248 (1497 equ)
% Maximal formula atoms : 220 ( 5 avg)
% Number of connectives : 3092 (1227 ~;1006 |; 791 &)
% ( 68 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 122 ( 120 usr; 121 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1200,plain,
$false,
inference(avatar_sat_refutation,[],[f520,f529,f589,f638,f643,f652,f654,f659,f828,f865,f871,f874,f887,f912,f913,f919,f921,f927,f940,f972,f975,f980,f981,f992,f994,f995,f997,f1003,f1006,f1009,f1010,f1016,f1026,f1050,f1051,f1060,f1061,f1089,f1096,f1097,f1098,f1104,f1113,f1119,f1122,f1128,f1131,f1136,f1139,f1141,f1144,f1146,f1150,f1151,f1157,f1158,f1159,f1162,f1163,f1164,f1167,f1175,f1176,f1181,f1191,f1192,f1194,f1196,f1198]) ).
fof(f1198,plain,
( ~ spl52_77
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f370,f909,f820]) ).
fof(f820,plain,
( spl52_77
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f909,plain,
( spl52_91
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f370,plain,
( op(e1,e2) != unit
| ~ sP45 ),
inference(definition_unfolding,[],[f163,f119]) ).
fof(f119,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f163,plain,
( e0 != op(e1,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 != op(e1,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e0 != op(e1,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f1196,plain,
spl52_9,
inference(avatar_split_clause,[],[f122,f522]) ).
fof(f522,plain,
( spl52_9
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f122,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(e0,e2)
& e2 = op(e3,e1)
& e1 = op(e1,e0)
& e0 = op(e3,e3)
& e3 = op(e3,e0)
& e1 = op(e3,e2)
& e0 = op(e2,e1)
& e3 = op(e2,e2)
& e3 = op(e0,e3)
& e1 = op(e0,e1)
& e3 = op(e1,e1)
& e2 = op(e2,e0)
& e0 = op(e0,e0)
& e1 = op(e2,e3)
& e2 = op(e1,e3)
& e0 = op(e1,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1194,plain,
( ~ spl52_26
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f198,f522,f600]) ).
fof(f600,plain,
( spl52_26
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f198,plain,
( e1 != op(e2,e3)
| ~ sP36 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e0,e3) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e0,e3) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1192,plain,
( ~ spl52_71
| ~ spl52_59 ),
inference(avatar_split_clause,[],[f404,f748,f796]) ).
fof(f796,plain,
( spl52_71
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f748,plain,
( spl52_59
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f404,plain,
( ~ sP31
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f217,f119]) ).
fof(f217,plain,
( e3 != op(e3,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1191,plain,
( ~ spl52_62
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f462,f696,f760]) ).
fof(f760,plain,
( spl52_62
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f696,plain,
( spl52_46
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f462,plain,
( e3 != op(unit,e3)
| ~ sP4 ),
inference(definition_unfolding,[],[f324,f119]) ).
fof(f324,plain,
( e3 != op(e0,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1181,plain,
( ~ spl52_95
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f431,f688,f937]) ).
fof(f937,plain,
( spl52_95
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f688,plain,
( spl52_44
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f431,plain,
( ~ sP21
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f258,f119]) ).
fof(f258,plain,
( e0 != op(e3,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e0 != op(e0,e3)
& e0 != op(e3,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e0 != op(e0,e3)
& e0 != op(e3,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1176,plain,
( ~ spl52_47
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f400,f977,f700]) ).
fof(f700,plain,
( spl52_47
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f977,plain,
( spl52_101
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f400,plain,
( op(e2,e1) != unit
| ~ sP33 ),
inference(definition_unfolding,[],[f209,f119]) ).
fof(f209,plain,
( e0 != op(e2,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1175,plain,
( ~ spl52_74
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f319,f517,f808]) ).
fof(f808,plain,
( spl52_74
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f517,plain,
( spl52_8
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f319,plain,
( e1 != op(e3,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1167,plain,
~ spl52_16,
inference(avatar_split_clause,[],[f117,f554]) ).
fof(f554,plain,
( spl52_16
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f117,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e1 != e2
& e2 != e3
& e1 != e3
& e0 != e2
& e0 != e3
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1164,plain,
( ~ spl52_2
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f362,f977,f490]) ).
fof(f490,plain,
( spl52_2
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f362,plain,
( op(e2,e1) != unit
| ~ sP50 ),
inference(definition_unfolding,[],[f143,f119]) ).
fof(f143,plain,
( e0 != op(e2,e1)
| ~ sP50 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(e2,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1) )
| ~ sP50 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(e2,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f1163,plain,
spl52_36,
inference(avatar_split_clause,[],[f357,f649]) ).
fof(f649,plain,
( spl52_36
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f357,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f126,f119]) ).
fof(f126,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1162,plain,
( ~ spl52_71
| ~ spl52_54 ),
inference(avatar_split_clause,[],[f398,f728,f796]) ).
fof(f728,plain,
( spl52_54
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f398,plain,
( ~ sP35
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f200,f119]) ).
fof(f200,plain,
( e3 != op(e3,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e3 != op(e3,e1)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(e3,e1)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f1159,plain,
~ spl52_82,
inference(avatar_split_clause,[],[f349,f846]) ).
fof(f846,plain,
( spl52_82
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f349,plain,
e3 != unit,
inference(definition_unfolding,[],[f114,f119]) ).
fof(f114,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1158,plain,
( ~ spl52_94
| ~ spl52_6 ),
inference(avatar_split_clause,[],[f279,f508,f930]) ).
fof(f930,plain,
( spl52_94
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f508,plain,
( spl52_6
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f279,plain,
( ~ sP16
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1157,plain,
( ~ spl52_61
| ~ spl52_41 ),
inference(avatar_split_clause,[],[f438,f676,f756]) ).
fof(f756,plain,
( spl52_61
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f676,plain,
( spl52_41
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f438,plain,
( e1 != op(e1,unit)
| ~ sP19 ),
inference(definition_unfolding,[],[f264,f119]) ).
fof(f264,plain,
( e1 != op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e0,e0)
& e1 != op(e1,e0) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e0,e0)
& e1 != op(e1,e0) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1151,plain,
( ~ spl52_49
| ~ spl52_36 ),
inference(avatar_split_clause,[],[f394,f649,f708]) ).
fof(f708,plain,
( spl52_49
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f394,plain,
( e1 != op(unit,e1)
| ~ sP38 ),
inference(definition_unfolding,[],[f189,f119]) ).
fof(f189,plain,
( e1 != op(e0,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1150,plain,
( ~ spl52_65
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f305,f522,f772]) ).
fof(f772,plain,
( spl52_65
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f305,plain,
( e1 != op(e2,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1146,plain,
( ~ spl52_28
| spl52_16 ),
inference(avatar_split_clause,[],[f1145,f554,f609]) ).
fof(f609,plain,
( spl52_28
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f1145,plain,
( e2 = e3
| ~ sP24 ),
inference(forward_demodulation,[],[f246,f128]) ).
fof(f128,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f246,plain,
( e2 = op(e2,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1144,plain,
~ spl52_73,
inference(avatar_split_clause,[],[f1143,f804]) ).
fof(f804,plain,
( spl52_73
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f1143,plain,
~ sP28,
inference(subsumption_resolution,[],[f411,f359]) ).
fof(f359,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f123,f119,f119,f119]) ).
fof(f123,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f411,plain,
( ~ sP28
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f231,f119,f119,f119]) ).
fof(f231,plain,
( e0 != op(e0,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e3)
& e0 != op(e0,e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e3)
& e0 != op(e0,e2) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1141,plain,
( ~ spl52_94
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f156,f812,f930]) ).
fof(f812,plain,
( spl52_75
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f156,plain,
( ~ sP46
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f1139,plain,
( ~ spl52_53
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f470,f796,f724]) ).
fof(f724,plain,
( spl52_53
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f470,plain,
( e3 != op(e3,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f332,f119]) ).
fof(f332,plain,
( e3 != op(e3,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1136,plain,
spl52_8,
inference(avatar_split_clause,[],[f130,f517]) ).
fof(f130,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1131,plain,
( ~ spl52_34
| ~ spl52_69 ),
inference(avatar_split_clause,[],[f452,f788,f640]) ).
fof(f640,plain,
( spl52_34
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f788,plain,
( spl52_69
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f452,plain,
( ~ sP10
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f301,f119]) ).
fof(f301,plain,
( e2 != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e1 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e1 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1128,plain,
spl52_101,
inference(avatar_split_clause,[],[f355,f977]) ).
fof(f355,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f129,f119]) ).
fof(f129,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1122,plain,
( spl52_42
| spl52_54
| spl52_55
| spl52_22
| spl52_60
| spl52_64
| spl52_59
| spl52_14
| spl52_43
| ~ spl52_36
| ~ spl52_71
| spl52_4
| spl52_70
| spl52_75
| spl52_47
| spl52_28
| ~ spl52_46
| spl52_15
| spl52_68
| spl52_40
| spl52_78
| spl52_56
| spl52_58
| spl52_20
| spl52_37
| spl52_12
| spl52_66
| spl52_17
| spl52_26
| spl52_7
| spl52_67
| ~ spl52_41
| spl52_62
| spl52_24
| ~ spl52_34
| spl52_61
| spl52_73
| spl52_49
| spl52_44
| spl52_53
| spl52_45
| spl52_51
| spl52_76
| ~ spl52_63
| spl52_65
| spl52_6
| spl52_69
| spl52_50
| spl52_77
| spl52_31
| spl52_52
| spl52_2
| spl52_33
| spl52_48
| spl52_10
| spl52_35
| spl52_74
| spl52_72 ),
inference(avatar_split_clause,[],[f1121,f800,f808,f645,f526,f704,f634,f490,f720,f623,f820,f712,f788,f508,f772,f764,f816,f716,f692,f724,f688,f708,f804,f756,f640,f591,f760,f676,f780,f513,f600,f559,f776,f535,f656,f572,f744,f736,f824,f672,f784,f550,f696,f609,f700,f812,f792,f499,f796,f649,f684,f544,f748,f768,f752,f582,f732,f728,f680]) ).
fof(f680,plain,
( spl52_42
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f732,plain,
( spl52_55
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f582,plain,
( spl52_22
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f752,plain,
( spl52_60
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f768,plain,
( spl52_64
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f544,plain,
( spl52_14
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f684,plain,
( spl52_43
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f499,plain,
( spl52_4
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f792,plain,
( spl52_70
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f550,plain,
( spl52_15
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f784,plain,
( spl52_68
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f672,plain,
( spl52_40
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f824,plain,
( spl52_78
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f736,plain,
( spl52_56
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f744,plain,
( spl52_58
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f572,plain,
( spl52_20
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f656,plain,
( spl52_37
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f535,plain,
( spl52_12
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f776,plain,
( spl52_66
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f559,plain,
( spl52_17
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f513,plain,
( spl52_7
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f780,plain,
( spl52_67
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f591,plain,
( spl52_24
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f692,plain,
( spl52_45
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f716,plain,
( spl52_51
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f816,plain,
( spl52_76
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f764,plain,
( spl52_63
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f712,plain,
( spl52_50
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f623,plain,
( spl52_31
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f720,plain,
( spl52_52
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f634,plain,
( spl52_33
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f704,plain,
( spl52_48
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f526,plain,
( spl52_10
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f645,plain,
( spl52_35
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f800,plain,
( spl52_72
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f1121,plain,
( sP34
| sP6
| sP40
| sP14
| sP1
| sP15
| sP50
| sP41
| sP42
| sP45
| sP29
| sP10
| sP16
| sP9
| e2 != op(unit,e2)
| sP27
| sP20
| sP26
| sP2
| sP21
| sP38
| sP28
| sP19
| e2 != op(e2,unit)
| sP12
| sP4
| e1 != op(e1,unit)
| sP3
| sP8
| sP36
| sP17
| sP11
| sP18
| sP43
| sP51
| sP39
| sP49
| sP25
| sP22
| sP32
| sP37
| e3 != op(unit,e3)
| sP24
| sP33
| sP46
| sP7
| sP47
| e3 != op(e3,unit)
| e1 != op(unit,e1)
| sP23
| sP48
| sP31
| sP0
| sP13
| sP5
| sP44
| sP35
| sP30 ),
inference(subsumption_resolution,[],[f480,f359]) ).
fof(f480,plain,
( sP17
| sP50
| sP49
| sP37
| sP21
| sP44
| sP39
| sP16
| sP31
| sP23
| e1 != op(e1,unit)
| sP45
| sP20
| sP30
| e1 != op(unit,e1)
| sP35
| sP13
| sP9
| sP34
| sP48
| sP42
| sP47
| sP22
| e2 != op(unit,e2)
| sP27
| sP26
| sP28
| sP8
| sP19
| e2 != op(e2,unit)
| sP1
| unit != op(unit,unit)
| sP51
| sP41
| sP7
| sP2
| sP32
| sP15
| sP6
| e3 != op(unit,e3)
| sP11
| sP38
| sP18
| sP36
| sP3
| sP10
| sP25
| sP29
| e3 != op(e3,unit)
| sP0
| sP12
| sP24
| sP4
| sP43
| sP33
| sP14
| sP5
| sP46
| sP40 ),
inference(duplicate_literal_removal,[],[f477]) ).
fof(f477,plain,
( sP7
| e2 != op(unit,e2)
| unit != op(unit,unit)
| sP14
| sP23
| e2 != op(e2,unit)
| sP22
| sP5
| e3 != op(e3,unit)
| sP24
| sP31
| e1 != op(e1,unit)
| sP41
| sP11
| e1 != op(e1,unit)
| e3 != op(unit,e3)
| sP25
| sP19
| sP4
| sP15
| sP36
| sP28
| sP38
| sP2
| sP18
| sP16
| sP33
| sP30
| sP6
| sP8
| sP49
| sP40
| sP1
| sP29
| sP13
| sP45
| sP48
| sP34
| sP26
| sP46
| sP9
| sP0
| sP12
| unit != op(unit,unit)
| sP42
| sP21
| e1 != op(unit,e1)
| sP37
| sP27
| sP47
| sP32
| sP43
| sP51
| sP20
| sP17
| sP35
| sP10
| sP3
| sP50
| sP44
| sP39 ),
inference(definition_unfolding,[],[f346,f119,f119,f119,f119,f119]) ).
fof(f346,plain,
( e1 != op(e1,e0)
| sP51
| e3 != op(e3,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| e1 != op(e1,unit)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| e3 != op(unit,e3)
| e0 != op(unit,e0)
| sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| sP51
| e3 != op(e3,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| e1 != op(e1,unit)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| e3 != op(unit,e3)
| e0 != op(unit,e0)
| sP0 ),
inference(definition_folding,[],[f7,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,f9,f8]) ).
fof(f8,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( e2 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
( ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
( ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
( ( e3 != op(e0,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
( ( e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
( ( e3 != op(e0,e1)
& e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e0 != op(e3,e2)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
( ( e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
( ( e0 != op(e2,e1)
& e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
( ( e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
( ( e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
( ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e3 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
( ( e2 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
( ( e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f50,plain,
( ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f52,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e2 != op(e0,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f56,plain,
( ( e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e3,e2) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f57,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f59,plain,
( ( e3 != op(e2,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e3,e3) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f7,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e3 != op(e2,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e3,e3) )
| e3 != op(e3,unit)
| ( e0 != op(e2,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ( e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e3,e2) )
| ( e2 != op(e0,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ( e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2) )
| ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2) )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e1) )
| ( e2 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0) )
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e3 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2) )
| ( e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e0,e3) )
| ( e3 != op(e3,e1)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e0) )
| ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| e1 != op(e1,unit)
| ( e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ( e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e3)
& e0 != op(e0,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ( e0 != op(e2,e1)
& e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ( e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| ( e0 != op(e3,e2)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e1) )
| ( e0 != op(e0,e3)
& e0 != op(e3,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e0,e0)
& e1 != op(e1,e0) )
| ( e3 != op(e0,e1)
& e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ( e3 != op(e0,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2) )
| ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e0) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3) )
| ( e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e1 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3) )
| ( e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ( e2 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e3) )
| e3 != op(unit,e3)
| e0 != op(unit,e0)
| ( e3 != op(e0,e2)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e1) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
( ( e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e1) )
| ( e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e0,e0)
& e1 != op(e1,e0) )
| ( e2 != op(e0,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ( e3 != op(e0,e1)
& e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ( e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ( e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e0,e3) )
| ( e0 != op(e2,e1)
& e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| e0 != op(unit,e0)
| ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0) )
| ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e0,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2) )
| ( e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| e1 != op(e1,unit)
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| e3 != op(unit,e3)
| ( e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3) )
| ( e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e2 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2) )
| e2 != op(e2,unit)
| ( e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| e3 != op(e3,unit)
| ( e0 != op(e0,e3)
& e0 != op(e3,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3) )
| ( e3 != op(e0,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e3)
& e0 != op(e0,e2) )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ( e2 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0) )
| ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ( e0 != op(e3,e2)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1) )
| ( e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0)
& e1 != op(e3,e3) )
| ( e3 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2) )
| ( e3 != op(e0,e2)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e1) )
| ( e1 != op(e2,e0)
& e0 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e0 != op(e1,e2)
& e0 != op(e0,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2) )
| ( e2 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e3 != op(e1,e1)
& e3 != op(e1,e3)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2) )
| ( e3 != op(e2,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e3,e3) )
| ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e0 != op(e0,e1)
& e0 != op(e3,e1)
& e0 != op(e1,e1) )
| ( e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e3,e2) )
| e2 != op(unit,e2)
| ( e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ( e3 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1) )
| ( e3 != op(e3,e1)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ( e1 = op(e0,e0)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1) )
& ( e1 = op(e0,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1) )
& ( e0 = unit
| e3 = unit
| e2 = unit
| e1 = unit )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e3) )
& e0 = op(unit,e0)
& ( e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1) )
& ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0) )
& ( e2 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e1) )
& e1 = op(e1,unit)
& ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) )
& e3 = op(unit,e3)
& ( e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e2,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) )
& e2 = op(e2,unit)
& ( e0 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1) )
& e3 = op(e3,unit)
& ( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0) )
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ~ ( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) )
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0) )
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1) )
& ( e2 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0) )
& ( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e3) )
& ( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2) )
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3) )
& ( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1) )
& ( e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2) )
& e2 = op(unit,e2)
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ( e1 = op(e0,e0)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1) )
& ( e1 = op(e0,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1) )
& ( e0 = unit
| e3 = unit
| e2 = unit
| e1 = unit )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e3) )
& e0 = op(unit,e0)
& ( e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1) )
& ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0) )
& ( e2 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e1) )
& e1 = op(e1,unit)
& ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) )
& e3 = op(unit,e3)
& ( e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e2,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) )
& e2 = op(e2,unit)
& ( e0 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1) )
& e3 = op(e3,unit)
& ( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0) )
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ~ ( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) )
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0) )
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1) )
& ( e2 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0) )
& ( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e0)
| e3 = op(e0,e1)
| e3 = op(e0,e3) )
& ( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2) )
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3) )
& ( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e0) )
& ( e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1) )
& ( e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2) )
& e2 = op(unit,e2)
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1119,plain,
( ~ spl52_63
| ~ spl52_14 ),
inference(avatar_split_clause,[],[f367,f544,f764]) ).
fof(f367,plain,
( ~ sP48
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f149,f119]) ).
fof(f149,plain,
( e2 != op(e0,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2)
& e2 != op(e3,e2) )
| ~ sP48 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1113,plain,
( spl52_82
| ~ spl52_52 ),
inference(avatar_split_clause,[],[f1112,f720,f846]) ).
fof(f1112,plain,
( ~ sP41
| e3 = unit ),
inference(forward_demodulation,[],[f382,f128]) ).
fof(f382,plain,
( ~ sP41
| op(e2,e2) = unit ),
inference(definition_unfolding,[],[f177,f119]) ).
fof(f177,plain,
( e0 = op(e2,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f1104,plain,
( ~ spl52_94
| ~ spl52_12 ),
inference(avatar_split_clause,[],[f269,f535,f930]) ).
fof(f269,plain,
( ~ sP18
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e3 != op(e0,e1)
& e3 != op(e3,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1098,plain,
( ~ spl52_34
| ~ spl52_40 ),
inference(avatar_split_clause,[],[f429,f672,f640]) ).
fof(f429,plain,
( ~ sP22
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f255,f119]) ).
fof(f255,plain,
( e2 != op(e2,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1097,plain,
( ~ spl52_4
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f154,f586,f499]) ).
fof(f586,plain,
( spl52_23
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f154,plain,
( e2 != op(e3,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != op(e0,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1) )
| ~ sP47 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1096,plain,
( ~ spl52_68
| spl52_82 ),
inference(avatar_split_clause,[],[f1095,f846,f784]) ).
fof(f1095,plain,
( e3 = unit
| ~ sP32 ),
inference(forward_demodulation,[],[f401,f359]) ).
fof(f401,plain,
( ~ sP32
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f213,f119,f119]) ).
fof(f213,plain,
( e3 = op(e0,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e1,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1089,plain,
( spl52_84
| ~ spl52_60 ),
inference(avatar_split_clause,[],[f1088,f752,f858]) ).
fof(f858,plain,
( spl52_84
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f1088,plain,
( ~ sP13
| e1 = e3 ),
inference(forward_demodulation,[],[f288,f128]) ).
fof(f288,plain,
( e1 = op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1061,plain,
~ spl52_72,
inference(avatar_split_clause,[],[f482,f800]) ).
fof(f482,plain,
~ sP34,
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( unit != unit
| ~ sP34 ),
inference(definition_unfolding,[],[f206,f119]) ).
fof(f206,plain,
( e0 != unit
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1060,plain,
spl52_34,
inference(avatar_split_clause,[],[f358,f640]) ).
fof(f358,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f124,f119]) ).
fof(f124,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1051,plain,
spl52_63,
inference(avatar_split_clause,[],[f351,f764]) ).
fof(f351,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f135,f119]) ).
fof(f135,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1050,plain,
~ spl52_24,
inference(avatar_split_clause,[],[f1049,f591]) ).
fof(f1049,plain,
~ sP12,
inference(subsumption_resolution,[],[f292,f121]) ).
fof(f121,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f292,plain,
( ~ sP12
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e2 != op(e0,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1026,plain,
~ spl52_55,
inference(avatar_split_clause,[],[f1025,f732]) ).
fof(f1025,plain,
~ sP44,
inference(subsumption_resolution,[],[f167,f128]) ).
fof(f167,plain,
( e3 != op(e2,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f52]) ).
fof(f1016,plain,
( ~ spl52_46
| ~ spl52_20 ),
inference(avatar_split_clause,[],[f361,f572,f696]) ).
fof(f361,plain,
( ~ sP51
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f138,f119]) ).
fof(f138,plain,
( e3 != op(e0,e3)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e3 != op(e2,e3)
& e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e3,e3) )
| ~ sP51 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1010,plain,
spl52_41,
inference(avatar_split_clause,[],[f352,f676]) ).
fof(f352,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f133,f119]) ).
fof(f133,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1009,plain,
~ spl52_33,
inference(avatar_split_clause,[],[f1008,f634]) ).
fof(f1008,plain,
~ sP15,
inference(subsumption_resolution,[],[f280,f128]) ).
fof(f280,plain,
( e3 != op(e2,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 != op(e0,e2)
& e3 != op(e3,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1006,plain,
~ spl52_48,
inference(avatar_split_clause,[],[f1005,f704]) ).
fof(f1005,plain,
~ sP1,
inference(subsumption_resolution,[],[f339,f121]) ).
fof(f339,plain,
( ~ sP1
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e2 != op(e1,e3)
& e0 != op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1003,plain,
( ~ spl52_95
| ~ spl52_43 ),
inference(avatar_split_clause,[],[f427,f684,f937]) ).
fof(f427,plain,
( ~ sP23
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f249,f119]) ).
fof(f249,plain,
( e0 != op(e3,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e0 != op(e3,e2)
& e0 != op(e3,e0)
& e0 != op(e3,e3)
& e0 != op(e3,e1) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f997,plain,
spl52_94,
inference(avatar_split_clause,[],[f125,f930]) ).
fof(f125,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f995,plain,
~ spl52_84,
inference(avatar_split_clause,[],[f116,f858]) ).
fof(f116,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f994,plain,
spl52_46,
inference(avatar_split_clause,[],[f356,f696]) ).
fof(f356,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f127,f119]) ).
fof(f127,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f992,plain,
~ spl52_76,
inference(avatar_split_clause,[],[f991,f816]) ).
fof(f991,plain,
~ sP27,
inference(subsumption_resolution,[],[f418,f359]) ).
fof(f418,plain,
( ~ sP27
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f232,f119,f119,f119]) ).
fof(f232,plain,
( e0 != op(e0,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e0 != op(e3,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f981,plain,
spl52_95,
inference(avatar_split_clause,[],[f353,f937]) ).
fof(f353,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f132,f119]) ).
fof(f132,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f980,plain,
( ~ spl52_45
| ~ spl52_101 ),
inference(avatar_split_clause,[],[f419,f977,f692]) ).
fof(f419,plain,
( op(e2,e1) != unit
| ~ sP26 ),
inference(definition_unfolding,[],[f239,f119]) ).
fof(f239,plain,
( e0 != op(e2,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e0 != op(e2,e1)
& e0 != op(e2,e0)
& e0 != op(e2,e2)
& e0 != op(e2,e3) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f975,plain,
( ~ spl52_78
| ~ spl52_36 ),
inference(avatar_split_clause,[],[f423,f649,f824]) ).
fof(f423,plain,
( e1 != op(unit,e1)
| ~ sP25 ),
inference(definition_unfolding,[],[f240,f119]) ).
fof(f240,plain,
( e1 != op(e0,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f972,plain,
( ~ spl52_64
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f474,f696,f768]) ).
fof(f474,plain,
( e3 != op(unit,e3)
| ~ sP0 ),
inference(definition_unfolding,[],[f341,f119]) ).
fof(f341,plain,
( e3 != op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e0)
& e3 != op(e0,e3)
& e3 != op(e0,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f940,plain,
( ~ spl52_95
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f456,f792,f937]) ).
fof(f456,plain,
( ~ sP7
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f313,f119]) ).
fof(f313,plain,
( e0 != op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f927,plain,
( ~ spl52_42
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f407,f909,f680]) ).
fof(f407,plain,
( op(e1,e2) != unit
| ~ sP30 ),
inference(definition_unfolding,[],[f222,f119]) ).
fof(f222,plain,
( e0 != op(e1,e2)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f921,plain,
spl52_71,
inference(avatar_split_clause,[],[f354,f796]) ).
fof(f354,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f131,f119]) ).
fof(f131,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f919,plain,
spl52_91,
inference(avatar_split_clause,[],[f360,f909]) ).
fof(f360,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f120,f119]) ).
fof(f120,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f913,plain,
( ~ spl52_66
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f298,f586,f776]) ).
fof(f298,plain,
( e2 != op(e3,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f912,plain,
( ~ spl52_51
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f434,f909,f716]) ).
fof(f434,plain,
( op(e1,e2) != unit
| ~ sP20 ),
inference(definition_unfolding,[],[f263,f119]) ).
fof(f263,plain,
( e0 != op(e1,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f887,plain,
~ spl52_58,
inference(avatar_split_clause,[],[f886,f744]) ).
fof(f886,plain,
~ sP39,
inference(subsumption_resolution,[],[f389,f359]) ).
fof(f389,plain,
( unit != op(unit,unit)
| ~ sP39 ),
inference(definition_unfolding,[],[f186,f119,f119,f119]) ).
fof(f186,plain,
( e0 != op(e0,e0)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e2 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f874,plain,
~ spl52_56,
inference(avatar_split_clause,[],[f873,f736]) ).
fof(f873,plain,
~ sP49,
inference(subsumption_resolution,[],[f147,f121]) ).
fof(f147,plain,
( e2 != op(e1,e3)
| ~ sP49 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f57]) ).
fof(f871,plain,
( ~ spl52_67
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f463,f764,f780]) ).
fof(f463,plain,
( e2 != op(unit,e2)
| ~ sP3 ),
inference(definition_unfolding,[],[f331,f119]) ).
fof(f331,plain,
( e2 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f865,plain,
( ~ spl52_31
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f379,f764,f623]) ).
fof(f379,plain,
( e2 != op(unit,e2)
| ~ sP42 ),
inference(definition_unfolding,[],[f172,f119]) ).
fof(f172,plain,
( e2 != op(e0,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e2 != op(e0,e1)
& e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f50]) ).
fof(f828,plain,
( ~ spl52_50
| ~ spl52_41 ),
inference(avatar_split_clause,[],[f410,f676,f712]) ).
fof(f410,plain,
( e1 != op(e1,unit)
| ~ sP29 ),
inference(definition_unfolding,[],[f225,f119]) ).
fof(f225,plain,
( e1 != op(e1,e0)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0)
& e1 != op(e1,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f659,plain,
( ~ spl52_8
| ~ spl52_37 ),
inference(avatar_split_clause,[],[f168,f656,f517]) ).
fof(f168,plain,
( ~ sP43
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2) )
| ~ sP43 ),
inference(nnf_transformation,[],[f51]) ).
fof(f654,plain,
~ spl52_15,
inference(avatar_split_clause,[],[f653,f550]) ).
fof(f653,plain,
~ sP37,
inference(subsumption_resolution,[],[f195,f128]) ).
fof(f195,plain,
( e3 != op(e2,e2)
| ~ sP37 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e3 != op(e2,e2)
& e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f652,plain,
( ~ spl52_35
| ~ spl52_36 ),
inference(avatar_split_clause,[],[f387,f649,f645]) ).
fof(f387,plain,
( e1 != op(unit,e1)
| ~ sP40 ),
inference(definition_unfolding,[],[f180,f119]) ).
fof(f180,plain,
( e1 != op(e0,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e1 != op(e0,e2)
& e1 != op(e0,e0)
& e1 != op(e0,e3)
& e1 != op(e0,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f643,plain,
( ~ spl52_17
| ~ spl52_34 ),
inference(avatar_split_clause,[],[f441,f640,f559]) ).
fof(f441,plain,
( e2 != op(e2,unit)
| ~ sP17 ),
inference(definition_unfolding,[],[f274,f119]) ).
fof(f274,plain,
( e2 != op(e2,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e0,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f638,plain,
spl52_23,
inference(avatar_split_clause,[],[f134,f586]) ).
fof(f134,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f589,plain,
( ~ spl52_22
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f320,f586,f582]) ).
fof(f320,plain,
( e2 != op(e3,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e0)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f529,plain,
( ~ spl52_9
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f285,f526,f522]) ).
fof(f285,plain,
( ~ sP14
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f520,plain,
( ~ spl52_7
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f310,f517,f513]) ).
fof(f310,plain,
( e1 != op(e3,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:14:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (29431)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)
% 0.18/0.49 % (29438)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (29446)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (29447)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 % (29442)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (29439)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (29431)First to succeed.
% 0.18/0.51 % (29438)Instruction limit reached!
% 0.18/0.51 % (29438)------------------------------
% 0.18/0.51 % (29438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (29438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (29438)Termination reason: Unknown
% 0.18/0.51 % (29438)Termination phase: shuffling
% 0.18/0.51
% 0.18/0.51 % (29438)Memory used [KB]: 895
% 0.18/0.51 % (29438)Time elapsed: 0.003 s
% 0.18/0.51 % (29438)Instructions burned: 2 (million)
% 0.18/0.51 % (29438)------------------------------
% 0.18/0.51 % (29438)------------------------------
% 0.18/0.51 % (29455)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (29445)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)
% 0.18/0.51 % (29446)Also succeeded, but the first one will report.
% 0.18/0.52 % (29431)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (29431)------------------------------
% 0.18/0.52 % (29431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29431)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (29431)Memory used [KB]: 6140
% 0.18/0.52 % (29431)Time elapsed: 0.014 s
% 0.18/0.52 % (29431)Instructions burned: 14 (million)
% 0.18/0.52 % (29431)------------------------------
% 0.18/0.52 % (29431)------------------------------
% 0.18/0.52 % (29429)Success in time 0.176 s
%------------------------------------------------------------------------------