TSTP Solution File: ALG045+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG045+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 : n018.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 : Unsatisfiable 1.41s 0.57s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 96
% Syntax : Number of formulae : 558 ( 44 unt; 0 def)
% Number of atoms : 1557 ( 798 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 1718 ( 719 ~; 773 |; 158 &)
% ( 68 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 73 ( 71 usr; 72 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1603,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f260,f286,f303,f363,f386,f391,f392,f415,f416,f435,f468,f473,f482,f491,f500,f501,f507,f508,f509,f510,f511,f517,f518,f519,f520,f525,f526,f527,f532,f533,f535,f540,f545,f546,f547,f552,f553,f555,f557,f558,f560,f561,f562,f563,f564,f565,f567,f568,f569,f570,f571,f572,f575,f577,f578,f579,f580,f582,f584,f592,f593,f595,f597,f604,f624,f625,f644,f645,f653,f662,f669,f672,f729,f731,f736,f738,f741,f745,f820,f834,f837,f840,f843,f846,f850,f864,f872,f898,f906,f912,f943,f951,f956,f972,f979,f983,f987,f1003,f1026,f1077,f1091,f1104,f1110,f1119,f1136,f1139,f1142,f1148,f1151,f1158,f1160,f1179,f1187,f1213,f1251,f1254,f1267,f1284,f1298,f1329,f1331,f1336,f1350,f1352,f1372,f1379,f1385,f1392,f1393,f1396,f1420,f1424,f1431,f1490,f1492,f1496,f1514,f1526,f1541,f1574,f1580,f1589]) ).
fof(f1589,plain,
( ~ spl3_20
| ~ spl3_68 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1588,plain,
( $false
| ~ spl3_20
| ~ spl3_68 ),
inference(subsumption_resolution,[],[f1587,f66]) ).
fof(f66,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e1 != e2
& e0 != e2
& e1 != e3
& e0 != e1
& e0 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1587,plain,
( e1 = e3
| ~ spl3_20
| ~ spl3_68 ),
inference(forward_demodulation,[],[f1568,f531]) ).
fof(f531,plain,
( e1 = op(e2,e3)
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl3_68
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f1568,plain,
( e3 = op(e2,e3)
| ~ spl3_20 ),
inference(backward_demodulation,[],[f147,f298]) ).
fof(f298,plain,
( e2 = unit
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl3_20
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f147,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(unit,e1)
& ( e0 = unit
| e3 = unit
| e2 = unit
| e1 = unit )
& e2 = op(e2,unit)
& e3 = op(unit,e3)
& e3 = op(e3,unit)
& e2 = op(unit,e2)
& e0 = op(unit,e0)
& e0 = op(e0,unit)
& e1 = op(e1,unit) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1580,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1579,plain,
( $false
| ~ spl3_4
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1578,f64]) ).
fof(f64,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1578,plain,
( e0 = e3
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1567,f228]) ).
fof(f228,plain,
( e0 = op(e3,e2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl3_4
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f1567,plain,
( e3 = op(e3,e2)
| ~ spl3_20 ),
inference(backward_demodulation,[],[f146,f298]) ).
fof(f146,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1574,plain,
( ~ spl3_20
| ~ spl3_67 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| ~ spl3_20
| ~ spl3_67 ),
inference(subsumption_resolution,[],[f1572,f65]) ).
fof(f65,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1572,plain,
( e0 = e1
| ~ spl3_20
| ~ spl3_67 ),
inference(forward_demodulation,[],[f1569,f523]) ).
fof(f523,plain,
( e0 = op(e2,e1)
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl3_67
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f1569,plain,
( e1 = op(e2,e1)
| ~ spl3_20 ),
inference(backward_demodulation,[],[f150,f298]) ).
fof(f150,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1541,plain,
( ~ spl3_17
| ~ spl3_70 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1540,plain,
( $false
| ~ spl3_17
| ~ spl3_70 ),
inference(subsumption_resolution,[],[f1539,f68]) ).
fof(f68,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1539,plain,
( e1 = e2
| ~ spl3_17
| ~ spl3_70 ),
inference(forward_demodulation,[],[f285,f544]) ).
fof(f544,plain,
( op(e0,e0) = e2
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl3_70
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f285,plain,
( op(e0,e0) = e1
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl3_17
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f1526,plain,
( ~ spl3_53
| ~ spl3_64 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| ~ spl3_53
| ~ spl3_64 ),
inference(subsumption_resolution,[],[f1524,f499]) ).
fof(f499,plain,
( e2 = op(e1,e3)
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl3_64
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).
fof(f1524,plain,
( e2 != op(e1,e3)
| ~ spl3_53 ),
inference(forward_demodulation,[],[f89,f448]) ).
fof(f448,plain,
( e2 = op(e3,e3)
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl3_53
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
fof(f89,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e2,e2) != op(e2,e3)
& op(e0,e1) != op(e3,e1)
& op(e3,e0) != op(e3,e1)
& op(e0,e3) != op(e2,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e0) != op(e1,e1)
& op(e1,e3) != op(e2,e3)
& op(e3,e1) != op(e3,e3)
& op(e1,e0) != op(e1,e3)
& op(e0,e1) != op(e0,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e0) != op(e3,e0)
& op(e0,e2) != op(e3,e2)
& op(e2,e0) != op(e2,e3)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e2) != op(e2,e2)
& op(e1,e3) != op(e3,e3)
& op(e2,e0) != op(e2,e2)
& op(e0,e2) != op(e0,e3)
& op(e2,e1) != op(e3,e1)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e3,e2)
& op(e2,e1) != op(e2,e2)
& op(e3,e2) != op(e3,e3)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e2,e1) != op(e2,e3)
& op(e1,e1) != op(e3,e1)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e2)
& op(e1,e0) != op(e1,e2)
& op(e2,e0) != op(e2,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1514,plain,
( ~ spl3_53
| ~ spl3_66 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| ~ spl3_53
| ~ spl3_66 ),
inference(subsumption_resolution,[],[f1512,f68]) ).
fof(f1512,plain,
( e1 = e2
| ~ spl3_53
| ~ spl3_66 ),
inference(forward_demodulation,[],[f515,f448]) ).
fof(f515,plain,
( e1 = op(e3,e3)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl3_66
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f1496,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1494,f339,f231]) ).
fof(f231,plain,
( spl3_5
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f339,plain,
( spl3_30
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f1494,plain,
( e3 != op(e3,e1)
| ~ spl3_30 ),
inference(backward_demodulation,[],[f108,f341]) ).
fof(f341,plain,
( e3 = op(e3,e0)
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f108,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1492,plain,
( ~ spl3_63
| ~ spl3_47 ),
inference(avatar_split_clause,[],[f1491,f418,f493]) ).
fof(f493,plain,
( spl3_63
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).
fof(f418,plain,
( spl3_47
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f1491,plain,
( e2 != op(e2,e3)
| ~ spl3_47 ),
inference(forward_demodulation,[],[f110,f420]) ).
fof(f420,plain,
( e2 = op(e2,e2)
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f110,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1490,plain,
( ~ spl3_52
| ~ spl3_53 ),
inference(avatar_split_clause,[],[f1472,f446,f442]) ).
fof(f442,plain,
( spl3_52
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f1472,plain,
( e2 != op(e3,e0)
| ~ spl3_53 ),
inference(forward_demodulation,[],[f92,f448]) ).
fof(f92,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1431,plain,
( ~ spl3_55
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f1430,f475,f456]) ).
fof(f456,plain,
( spl3_55
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f475,plain,
( spl3_59
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f1430,plain,
( e0 != op(e2,e2)
| ~ spl3_59 ),
inference(forward_demodulation,[],[f110,f477]) ).
fof(f477,plain,
( e0 = op(e2,e3)
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1424,plain,
( ~ spl3_21
| ~ spl3_71 ),
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1423,plain,
( $false
| ~ spl3_21
| ~ spl3_71 ),
inference(subsumption_resolution,[],[f1422,f65]) ).
fof(f1422,plain,
( e0 = e1
| ~ spl3_21
| ~ spl3_71 ),
inference(forward_demodulation,[],[f1421,f551]) ).
fof(f551,plain,
( e0 = op(e1,e0)
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl3_71
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f1421,plain,
( e1 = op(e1,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f142,f302]) ).
fof(f302,plain,
( e0 = unit
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl3_21
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f142,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1420,plain,
( ~ spl3_21
| ~ spl3_70 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| ~ spl3_21
| ~ spl3_70 ),
inference(subsumption_resolution,[],[f1418,f67]) ).
fof(f67,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1418,plain,
( e0 = e2
| ~ spl3_21
| ~ spl3_70 ),
inference(forward_demodulation,[],[f1417,f544]) ).
fof(f1417,plain,
( e0 = op(e0,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f144,f302]) ).
fof(f144,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1396,plain,
( ~ spl3_58
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f1395,f235,f470]) ).
fof(f470,plain,
( spl3_58
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f235,plain,
( spl3_6
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f1395,plain,
( e1 != op(e3,e2)
| ~ spl3_6 ),
inference(forward_demodulation,[],[f93,f237]) ).
fof(f237,plain,
( e1 = op(e3,e1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f93,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1393,plain,
( ~ spl3_35
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f1295,f451,f360]) ).
fof(f360,plain,
( spl3_35
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f451,plain,
( spl3_54
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f1295,plain,
( e1 != op(e1,e2)
| ~ spl3_54 ),
inference(forward_demodulation,[],[f114,f453]) ).
fof(f453,plain,
( e1 = op(e1,e3)
| ~ spl3_54 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f114,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1392,plain,
( ~ spl3_67
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f1391,f475,f522]) ).
fof(f1391,plain,
( e0 != op(e2,e1)
| ~ spl3_59 ),
inference(backward_demodulation,[],[f78,f477]) ).
fof(f78,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1385,plain,
( spl3_65
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f1373,f300,f503]) ).
fof(f503,plain,
( spl3_65
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f1373,plain,
( e2 = op(e2,e0)
| ~ spl3_21 ),
inference(backward_demodulation,[],[f148,f302]) ).
fof(f148,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1379,plain,
( ~ spl3_21
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl3_21
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1377,f64]) ).
fof(f1377,plain,
( e0 = e3
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1374,f336]) ).
fof(f336,plain,
( e0 = op(e0,e3)
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl3_29
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f1374,plain,
( e3 = op(e0,e3)
| ~ spl3_21 ),
inference(backward_demodulation,[],[f147,f302]) ).
fof(f1372,plain,
( ~ spl3_1
| ~ spl3_71 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl3_1
| ~ spl3_71 ),
inference(subsumption_resolution,[],[f1370,f551]) ).
fof(f1370,plain,
( e0 != op(e1,e0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f99,f216]) ).
fof(f216,plain,
( e0 = op(e3,e0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl3_1
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f99,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1352,plain,
( ~ spl3_33
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f1351,f549,f352]) ).
fof(f352,plain,
( spl3_33
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f1351,plain,
( e0 != op(e1,e2)
| ~ spl3_71 ),
inference(backward_demodulation,[],[f72,f551]) ).
fof(f72,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1350,plain,
( ~ spl3_56
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f1349,f488,f460]) ).
fof(f460,plain,
( spl3_56
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f488,plain,
( spl3_62
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f1349,plain,
( e3 != op(e2,e2)
| ~ spl3_62 ),
inference(forward_demodulation,[],[f90,f490]) ).
fof(f490,plain,
( e3 = op(e0,e2)
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f90,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1336,plain,
( ~ spl3_28
| ~ spl3_29 ),
inference(avatar_split_clause,[],[f1230,f334,f330]) ).
fof(f330,plain,
( spl3_28
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f1230,plain,
( e0 != op(e0,e1)
| ~ spl3_29 ),
inference(forward_demodulation,[],[f101,f336]) ).
fof(f101,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1331,plain,
( ~ spl3_69
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f1330,f214,f537]) ).
fof(f537,plain,
( spl3_69
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f1330,plain,
( e0 != op(e2,e0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f112,f216]) ).
fof(f112,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1329,plain,
( ~ spl3_17
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl3_17
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1327,f66]) ).
fof(f1327,plain,
( e1 = e3
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f285,f376]) ).
fof(f376,plain,
( op(e0,e0) = e3
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl3_38
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f1298,plain,
( ~ spl3_63
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f1297,f503,f493]) ).
fof(f1297,plain,
( e2 != op(e2,e3)
| ~ spl3_65 ),
inference(forward_demodulation,[],[f97,f505]) ).
fof(f505,plain,
( e2 = op(e2,e0)
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f97,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1284,plain,
( spl3_63
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f1204,f288,f493]) ).
fof(f288,plain,
( spl3_18
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f1204,plain,
( e2 = op(e2,e3)
| ~ spl3_18 ),
inference(backward_demodulation,[],[f148,f290]) ).
fof(f290,plain,
( e3 = unit
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f1267,plain,
( ~ spl3_13
| ~ spl3_67 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1266,plain,
( $false
| ~ spl3_13
| ~ spl3_67 ),
inference(subsumption_resolution,[],[f1265,f64]) ).
fof(f1265,plain,
( e0 = e3
| ~ spl3_13
| ~ spl3_67 ),
inference(forward_demodulation,[],[f523,f267]) ).
fof(f267,plain,
( e3 = op(e2,e1)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl3_13
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f1254,plain,
( ~ spl3_32
| ~ spl3_66 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1253,plain,
( $false
| ~ spl3_32
| ~ spl3_66 ),
inference(subsumption_resolution,[],[f1252,f66]) ).
fof(f1252,plain,
( e1 = e3
| ~ spl3_32
| ~ spl3_66 ),
inference(forward_demodulation,[],[f515,f349]) ).
fof(f349,plain,
( e3 = op(e3,e3)
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl3_32
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f1251,plain,
( ~ spl3_8
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f1250,f275,f244]) ).
fof(f244,plain,
( spl3_8
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f275,plain,
( spl3_15
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f1250,plain,
( e1 != op(e1,e1)
| ~ spl3_15 ),
inference(forward_demodulation,[],[f105,f277]) ).
fof(f277,plain,
( e1 = op(e1,e0)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f105,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1213,plain,
( ~ spl3_18
| ~ spl3_60 ),
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl3_18
| ~ spl3_60 ),
inference(subsumption_resolution,[],[f1211,f65]) ).
fof(f1211,plain,
( e0 = e1
| ~ spl3_18
| ~ spl3_60 ),
inference(forward_demodulation,[],[f1199,f481]) ).
fof(f481,plain,
( e0 = op(e1,e3)
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl3_60
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f1199,plain,
( e1 = op(e1,e3)
| ~ spl3_18 ),
inference(backward_demodulation,[],[f142,f290]) ).
fof(f1187,plain,
( ~ spl3_26
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl3_26
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1185,f324]) ).
fof(f324,plain,
( e0 = op(e0,e2)
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl3_26
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f1185,plain,
( e0 != op(e0,e2)
| ~ spl3_29 ),
inference(forward_demodulation,[],[f87,f336]) ).
fof(f87,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1179,plain,
( ~ spl3_22
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f1178,f460,f305]) ).
fof(f305,plain,
( spl3_22
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f1178,plain,
( e3 != op(e1,e2)
| ~ spl3_56 ),
inference(forward_demodulation,[],[f96,f462]) ).
fof(f462,plain,
( e3 = op(e2,e2)
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f96,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1160,plain,
( ~ spl3_35
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f1159,f275,f360]) ).
fof(f1159,plain,
( e1 != op(e1,e2)
| ~ spl3_15 ),
inference(forward_demodulation,[],[f72,f277]) ).
fof(f1158,plain,
( ~ spl3_34
| ~ spl3_49 ),
inference(avatar_split_clause,[],[f1157,f426,f356]) ).
fof(f356,plain,
( spl3_34
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f426,plain,
( spl3_49
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f1157,plain,
( e2 != op(e1,e2)
| ~ spl3_49 ),
inference(forward_demodulation,[],[f95,f428]) ).
fof(f428,plain,
( e2 = op(e3,e2)
| ~ spl3_49 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f95,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1151,plain,
( ~ spl3_25
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl3_25
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f1149,f63]) ).
fof(f63,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1149,plain,
( e2 = e3
| ~ spl3_25
| ~ spl3_40 ),
inference(forward_demodulation,[],[f384,f319]) ).
fof(f319,plain,
( e3 = op(e1,e1)
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl3_25
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f384,plain,
( e2 = op(e1,e1)
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl3_40
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f1148,plain,
( ~ spl3_59
| ~ spl3_68 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| ~ spl3_59
| ~ spl3_68 ),
inference(subsumption_resolution,[],[f1146,f65]) ).
fof(f1146,plain,
( e0 = e1
| ~ spl3_59
| ~ spl3_68 ),
inference(forward_demodulation,[],[f477,f531]) ).
fof(f1142,plain,
( ~ spl3_63
| ~ spl3_68 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl3_63
| ~ spl3_68 ),
inference(subsumption_resolution,[],[f1140,f68]) ).
fof(f1140,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_68 ),
inference(forward_demodulation,[],[f495,f531]) ).
fof(f495,plain,
( e2 = op(e2,e3)
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f1139,plain,
( ~ spl3_54
| ~ spl3_60 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl3_54
| ~ spl3_60 ),
inference(subsumption_resolution,[],[f1137,f65]) ).
fof(f1137,plain,
( e0 = e1
| ~ spl3_54
| ~ spl3_60 ),
inference(forward_demodulation,[],[f453,f481]) ).
fof(f1136,plain,
( ~ spl3_42
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f1041,f529,f394]) ).
fof(f394,plain,
( spl3_42
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f1041,plain,
( e1 != op(e0,e3)
| ~ spl3_68 ),
inference(forward_demodulation,[],[f107,f531]) ).
fof(f107,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1119,plain,
( ~ spl3_21
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl3_21
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1117,f64]) ).
fof(f1117,plain,
( e0 = e3
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1116,f376]) ).
fof(f1116,plain,
( e0 = op(e0,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f144,f302]) ).
fof(f1110,plain,
( ~ spl3_21
| ~ spl3_69 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl3_21
| ~ spl3_69 ),
inference(subsumption_resolution,[],[f1108,f67]) ).
fof(f1108,plain,
( e0 = e2
| ~ spl3_21
| ~ spl3_69 ),
inference(forward_demodulation,[],[f1097,f539]) ).
fof(f539,plain,
( e0 = op(e2,e0)
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1097,plain,
( e2 = op(e2,e0)
| ~ spl3_21 ),
inference(backward_demodulation,[],[f148,f302]) ).
fof(f1104,plain,
( ~ spl3_21
| ~ spl3_44 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| ~ spl3_21
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f1102,f63]) ).
fof(f1102,plain,
( e2 = e3
| ~ spl3_21
| ~ spl3_44 ),
inference(forward_demodulation,[],[f1096,f404]) ).
fof(f404,plain,
( e2 = op(e0,e3)
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl3_44
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f1096,plain,
( e3 = op(e0,e3)
| ~ spl3_21 ),
inference(backward_demodulation,[],[f147,f302]) ).
fof(f1091,plain,
( ~ spl3_56
| ~ spl3_57 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1090,plain,
( $false
| ~ spl3_56
| ~ spl3_57 ),
inference(subsumption_resolution,[],[f1089,f66]) ).
fof(f1089,plain,
( e1 = e3
| ~ spl3_56
| ~ spl3_57 ),
inference(forward_demodulation,[],[f462,f466]) ).
fof(f466,plain,
( e1 = op(e2,e2)
| ~ spl3_57 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl3_57
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f1077,plain,
( ~ spl3_65
| ~ spl3_69 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl3_65
| ~ spl3_69 ),
inference(subsumption_resolution,[],[f1075,f67]) ).
fof(f1075,plain,
( e0 = e2
| ~ spl3_65
| ~ spl3_69 ),
inference(forward_demodulation,[],[f505,f539]) ).
fof(f1026,plain,
( ~ spl3_55
| ~ spl3_69 ),
inference(avatar_split_clause,[],[f1025,f537,f456]) ).
fof(f1025,plain,
( e0 != op(e2,e2)
| ~ spl3_69 ),
inference(backward_demodulation,[],[f88,f539]) ).
fof(f88,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1003,plain,
( ~ spl3_57
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f1002,f529,f464]) ).
fof(f1002,plain,
( e1 != op(e2,e2)
| ~ spl3_68 ),
inference(backward_demodulation,[],[f110,f531]) ).
fof(f987,plain,
( ~ spl3_31
| ~ spl3_32 ),
inference(avatar_split_clause,[],[f986,f347,f343]) ).
fof(f343,plain,
( spl3_31
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f986,plain,
( e3 != op(e3,e2)
| ~ spl3_32 ),
inference(forward_demodulation,[],[f81,f349]) ).
fof(f81,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f983,plain,
( ~ spl3_20
| ~ spl3_63 ),
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| ~ spl3_20
| ~ spl3_63 ),
inference(subsumption_resolution,[],[f981,f63]) ).
fof(f981,plain,
( e2 = e3
| ~ spl3_20
| ~ spl3_63 ),
inference(forward_demodulation,[],[f980,f495]) ).
fof(f980,plain,
( e3 = op(e2,e3)
| ~ spl3_20 ),
inference(forward_demodulation,[],[f147,f298]) ).
fof(f979,plain,
( ~ spl3_20
| ~ spl3_48 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl3_20
| ~ spl3_48 ),
inference(subsumption_resolution,[],[f977,f67]) ).
fof(f977,plain,
( e0 = e2
| ~ spl3_20
| ~ spl3_48 ),
inference(forward_demodulation,[],[f976,f424]) ).
fof(f424,plain,
( e2 = op(e0,e2)
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl3_48
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f976,plain,
( e0 = op(e0,e2)
| ~ spl3_20 ),
inference(forward_demodulation,[],[f143,f298]) ).
fof(f143,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f972,plain,
( ~ spl3_63
| ~ spl3_64 ),
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f971,plain,
( $false
| ~ spl3_63
| ~ spl3_64 ),
inference(subsumption_resolution,[],[f970,f499]) ).
fof(f970,plain,
( e2 != op(e1,e3)
| ~ spl3_63 ),
inference(forward_demodulation,[],[f104,f495]) ).
fof(f104,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f956,plain,
( ~ spl3_20
| ~ spl3_55 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| ~ spl3_20
| ~ spl3_55 ),
inference(subsumption_resolution,[],[f954,f67]) ).
fof(f954,plain,
( e0 = e2
| ~ spl3_20
| ~ spl3_55 ),
inference(forward_demodulation,[],[f953,f458]) ).
fof(f458,plain,
( e0 = op(e2,e2)
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f953,plain,
( e2 = op(e2,e2)
| ~ spl3_20 ),
inference(forward_demodulation,[],[f148,f298]) ).
fof(f951,plain,
( ~ spl3_55
| ~ spl3_56 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| ~ spl3_55
| ~ spl3_56 ),
inference(subsumption_resolution,[],[f949,f64]) ).
fof(f949,plain,
( e0 = e3
| ~ spl3_55
| ~ spl3_56 ),
inference(forward_demodulation,[],[f462,f458]) ).
fof(f943,plain,
( spl3_35
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f937,f296,f360]) ).
fof(f937,plain,
( e1 = op(e1,e2)
| ~ spl3_20 ),
inference(backward_demodulation,[],[f142,f298]) ).
fof(f912,plain,
( ~ spl3_60
| ~ spl3_64 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl3_60
| ~ spl3_64 ),
inference(subsumption_resolution,[],[f910,f67]) ).
fof(f910,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_64 ),
inference(forward_demodulation,[],[f481,f499]) ).
fof(f906,plain,
( ~ spl3_34
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f905,f497,f356]) ).
fof(f905,plain,
( e2 != op(e1,e2)
| ~ spl3_64 ),
inference(forward_demodulation,[],[f114,f499]) ).
fof(f898,plain,
( ~ spl3_24
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f895,f317,f313]) ).
fof(f313,plain,
( spl3_24
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f895,plain,
( e3 != op(e1,e0)
| ~ spl3_25 ),
inference(backward_demodulation,[],[f105,f319]) ).
fof(f872,plain,
( ~ spl3_6
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f871,f279,f235]) ).
fof(f279,plain,
( spl3_16
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f871,plain,
( e1 != op(e3,e1)
| ~ spl3_16 ),
inference(forward_demodulation,[],[f108,f281]) ).
fof(f281,plain,
( e1 = op(e3,e0)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f864,plain,
( ~ spl3_34
| ~ spl3_48 ),
inference(avatar_split_clause,[],[f863,f422,f356]) ).
fof(f863,plain,
( e2 != op(e1,e2)
| ~ spl3_48 ),
inference(forward_demodulation,[],[f94,f424]) ).
fof(f94,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f850,plain,
( ~ spl3_12
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f849,plain,
( $false
| ~ spl3_12
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f848,f65]) ).
fof(f848,plain,
( e0 = e1
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f847,f263]) ).
fof(f263,plain,
( e0 = op(e1,e1)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl3_12
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f847,plain,
( e1 = op(e1,e1)
| ~ spl3_19 ),
inference(forward_demodulation,[],[f150,f294]) ).
fof(f294,plain,
( e1 = unit
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl3_19
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f846,plain,
( ~ spl3_19
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl3_19
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f844,f67]) ).
fof(f844,plain,
( e0 = e2
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f824,f354]) ).
fof(f354,plain,
( e0 = op(e1,e2)
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f824,plain,
( e2 = op(e1,e2)
| ~ spl3_19 ),
inference(backward_demodulation,[],[f145,f294]) ).
fof(f145,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f843,plain,
( ~ spl3_19
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl3_19
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f841,f67]) ).
fof(f841,plain,
( e0 = e2
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f823,f389]) ).
fof(f389,plain,
( e2 = op(e1,e0)
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl3_41
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f823,plain,
( e0 = op(e1,e0)
| ~ spl3_19 ),
inference(backward_demodulation,[],[f144,f294]) ).
fof(f840,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl3_11
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f838,f68]) ).
fof(f838,plain,
( e1 = e2
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f827,f259]) ).
fof(f259,plain,
( e1 = op(e2,e1)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl3_11
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f827,plain,
( e2 = op(e2,e1)
| ~ spl3_19 ),
inference(backward_demodulation,[],[f148,f294]) ).
fof(f837,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl3_10
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f835,f65]) ).
fof(f835,plain,
( e0 = e1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f822,f255]) ).
fof(f255,plain,
( e1 = op(e0,e1)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl3_10
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f822,plain,
( e0 = op(e0,e1)
| ~ spl3_19 ),
inference(backward_demodulation,[],[f143,f294]) ).
fof(f834,plain,
( ~ spl3_19
| ~ spl3_54 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl3_19
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f832,f66]) ).
fof(f832,plain,
( e1 = e3
| ~ spl3_19
| ~ spl3_54 ),
inference(forward_demodulation,[],[f826,f453]) ).
fof(f826,plain,
( e3 = op(e1,e3)
| ~ spl3_19 ),
inference(backward_demodulation,[],[f147,f294]) ).
fof(f820,plain,
( ~ spl3_55
| ~ spl3_57 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl3_55
| ~ spl3_57 ),
inference(subsumption_resolution,[],[f818,f65]) ).
fof(f818,plain,
( e0 = e1
| ~ spl3_55
| ~ spl3_57 ),
inference(forward_demodulation,[],[f466,f458]) ).
fof(f745,plain,
( ~ spl3_71
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f744,f262,f549]) ).
fof(f744,plain,
( e0 != op(e1,e0)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f105,f263]) ).
fof(f741,plain,
( ~ spl3_2
| ~ spl3_53 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl3_2
| ~ spl3_53 ),
inference(subsumption_resolution,[],[f739,f67]) ).
fof(f739,plain,
( e0 = e2
| ~ spl3_2
| ~ spl3_53 ),
inference(forward_demodulation,[],[f448,f220]) ).
fof(f220,plain,
( e0 = op(e3,e3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl3_2
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f738,plain,
( ~ spl3_69
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f737,f326,f537]) ).
fof(f326,plain,
( spl3_27
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f737,plain,
( e0 != op(e2,e0)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f111,f328]) ).
fof(f328,plain,
( e0 = op(e0,e0)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f111,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f736,plain,
( ~ spl3_12
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl3_12
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f734,f64]) ).
fof(f734,plain,
( e0 = e3
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f319,f263]) ).
fof(f731,plain,
( ~ spl3_58
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f730,f279,f470]) ).
fof(f730,plain,
( e1 != op(e3,e2)
| ~ spl3_16 ),
inference(forward_demodulation,[],[f83,f281]) ).
fof(f83,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f729,plain,
( ~ spl3_29
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f728,f218,f334]) ).
fof(f728,plain,
( e0 != op(e0,e3)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f75,f220]) ).
fof(f75,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f672,plain,
( ~ spl3_42
| ~ spl3_44 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl3_42
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f670,f68]) ).
fof(f670,plain,
( e1 = e2
| ~ spl3_42
| ~ spl3_44 ),
inference(forward_demodulation,[],[f396,f404]) ).
fof(f396,plain,
( e1 = op(e0,e3)
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f669,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f666,f322,f226]) ).
fof(f666,plain,
( e0 != op(e3,e2)
| ~ spl3_26 ),
inference(backward_demodulation,[],[f98,f324]) ).
fof(f98,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f662,plain,
( ~ spl3_71
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f661,f326,f549]) ).
fof(f661,plain,
( e0 != op(e1,e0)
| ~ spl3_27 ),
inference(backward_demodulation,[],[f84,f328]) ).
fof(f84,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f653,plain,
( ~ spl3_45
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f649,f309,f407]) ).
fof(f407,plain,
( spl3_45
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f309,plain,
( spl3_23
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f649,plain,
( e3 != op(e2,e3)
| ~ spl3_23 ),
inference(backward_demodulation,[],[f104,f311]) ).
fof(f311,plain,
( e3 = op(e1,e3)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f645,plain,
( ~ spl3_63
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f639,f402,f493]) ).
fof(f639,plain,
( e2 != op(e2,e3)
| ~ spl3_44 ),
inference(backward_demodulation,[],[f107,f404]) ).
fof(f644,plain,
( ~ spl3_64
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f641,f402,f497]) ).
fof(f641,plain,
( e2 != op(e1,e3)
| ~ spl3_44 ),
inference(backward_demodulation,[],[f76,f404]) ).
fof(f76,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f625,plain,
( spl3_29
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f611,f288,f334]) ).
fof(f611,plain,
( e0 = op(e0,e3)
| ~ spl3_18 ),
inference(backward_demodulation,[],[f143,f290]) ).
fof(f624,plain,
( spl3_1
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f612,f288,f214]) ).
fof(f612,plain,
( e0 = op(e3,e0)
| ~ spl3_18 ),
inference(backward_demodulation,[],[f144,f290]) ).
fof(f604,plain,
( ~ spl3_17
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f603,f271,f283]) ).
fof(f271,plain,
( spl3_14
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f603,plain,
( op(e0,e0) != e1
| ~ spl3_14 ),
inference(backward_demodulation,[],[f111,f273]) ).
fof(f273,plain,
( e1 = op(e2,e0)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f597,plain,
( ~ spl3_57
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f586,f360,f464]) ).
fof(f586,plain,
( e1 != op(e2,e2)
| ~ spl3_35 ),
inference(backward_demodulation,[],[f96,f362]) ).
fof(f362,plain,
( e1 = op(e1,e2)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f595,plain,
( ~ spl3_8
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f589,f360,f244]) ).
fof(f589,plain,
( e1 != op(e1,e1)
| ~ spl3_35 ),
inference(backward_demodulation,[],[f118,f362]) ).
fof(f118,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f593,plain,
( ~ spl3_58
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f587,f360,f470]) ).
fof(f587,plain,
( e1 != op(e3,e2)
| ~ spl3_35 ),
inference(backward_demodulation,[],[f95,f362]) ).
fof(f592,plain,
( ~ spl3_61
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f590,f360,f484]) ).
fof(f484,plain,
( spl3_61
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f590,plain,
( e1 != op(e0,e2)
| ~ spl3_35 ),
inference(backward_demodulation,[],[f94,f362]) ).
fof(f584,plain,
( ~ spl3_9
| spl3_17 ),
inference(avatar_split_clause,[],[f119,f283,f248]) ).
fof(f248,plain,
( spl3_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f119,plain,
( op(e0,e0) = e1
| ~ sP2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ~ sP2 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f582,plain,
( spl3_41
| spl3_15
| spl3_24
| spl3_71 ),
inference(avatar_split_clause,[],[f170,f549,f313,f275,f388]) ).
fof(f170,plain,
( e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e1 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e1 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e0 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3) )
& ( e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e3 )
& ( e2 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e3 = op(e1,e2) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f580,plain,
( ~ spl3_2
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f151,f529,f218]) ).
fof(f151,plain,
( e1 != op(e2,e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(e3,e3)
| e1 != op(e2,e3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f579,plain,
( spl3_65
| spl3_39
| spl3_69
| spl3_14 ),
inference(avatar_split_clause,[],[f168,f271,f537,f378,f503]) ).
fof(f378,plain,
( spl3_39
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f168,plain,
( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f578,plain,
( ~ spl3_51
| spl3_55 ),
inference(avatar_split_clause,[],[f124,f456,f437]) ).
fof(f437,plain,
( spl3_51
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f124,plain,
( e0 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f577,plain,
( ~ spl3_17
| ~ spl3_39 ),
inference(avatar_split_clause,[],[f212,f378,f283]) ).
fof(f212,plain,
( e3 != op(e2,e0)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e3 != op(e2,e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(e2,e0)
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f575,plain,
( spl3_51
| spl3_40
| spl3_46
| spl3_9 ),
inference(avatar_split_clause,[],[f134,f248,f412,f383,f437]) ).
fof(f412,plain,
( spl3_46
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f134,plain,
( sP2
| sP0
| e2 = op(e1,e1)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e2 = op(e1,e1)
& e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f6,f57,f56,f55]) ).
fof(f55,plain,
( ( e3 = op(e2,e2)
& op(e0,e0) = e3
& e3 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,axiom,
( ( e2 = op(e1,e1)
& e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& op(e0,e0) = e3
& e3 = op(e3,e3)
& e3 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f572,plain,
( spl3_40
| spl3_34
| spl3_64
| spl3_41 ),
inference(avatar_split_clause,[],[f179,f388,f497,f356,f383]) ).
fof(f179,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e2) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e3)
| e0 = op(e1,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e3) )
& ( e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3) )
& ( e2 = op(e0,e2)
| op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e3) )
& ( e1 = op(e2,e0)
| e1 = op(e3,e0)
| op(e0,e0) = e1
| e1 = op(e1,e0) )
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e0) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e2) )
& ( e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3 )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e2) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e3) )
& ( e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e2) )
& ( e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e3 = op(e2,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2) )
& ( e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1) )
& ( e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e2,e0)
| op(e0,e0) = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e0) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f571,plain,
( spl3_38
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f129,f412,f374]) ).
fof(f129,plain,
( ~ sP0
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e3 = op(e2,e2)
& op(e0,e0) = e3
& e3 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f55]) ).
fof(f570,plain,
( spl3_23
| spl3_54
| spl3_64
| spl3_60 ),
inference(avatar_split_clause,[],[f165,f479,f497,f451,f309]) ).
fof(f165,plain,
( e0 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f569,plain,
( spl3_9
| spl3_46
| spl3_53
| spl3_51 ),
inference(avatar_split_clause,[],[f131,f437,f446,f412,f248]) ).
fof(f131,plain,
( sP1
| e2 = op(e3,e3)
| sP0
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f568,plain,
( spl3_70
| spl3_51
| spl3_9
| spl3_46 ),
inference(avatar_split_clause,[],[f132,f412,f248,f437,f542]) ).
fof(f132,plain,
( sP0
| sP2
| sP1
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f567,plain,
( spl3_33
| spl3_4
| spl3_55
| spl3_26 ),
inference(avatar_split_clause,[],[f201,f322,f456,f226,f352]) ).
fof(f201,plain,
( e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f565,plain,
( spl3_30
| spl3_1
| spl3_52
| spl3_16 ),
inference(avatar_split_clause,[],[f159,f279,f442,f214,f339]) ).
fof(f159,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f564,plain,
( spl3_4
| spl3_49
| spl3_58
| spl3_31 ),
inference(avatar_split_clause,[],[f163,f343,f470,f426,f226]) ).
fof(f163,plain,
( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f563,plain,
( spl3_68
| spl3_57
| spl3_11
| spl3_14 ),
inference(avatar_split_clause,[],[f194,f271,f257,f464,f529]) ).
fof(f194,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f562,plain,
( spl3_63
| spl3_59
| spl3_45
| spl3_68 ),
inference(avatar_split_clause,[],[f169,f529,f407,f475,f493]) ).
fof(f169,plain,
( e1 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f561,plain,
( ~ spl3_66
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f210,f402,f513]) ).
fof(f210,plain,
( e2 != op(e0,e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(e0,e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f560,plain,
( spl3_51
| spl3_46
| spl3_47
| spl3_9 ),
inference(avatar_split_clause,[],[f133,f248,f418,f412,f437]) ).
fof(f133,plain,
( sP2
| e2 = op(e2,e2)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f558,plain,
( ~ spl3_42
| ~ spl3_53 ),
inference(avatar_split_clause,[],[f154,f446,f394]) ).
fof(f154,plain,
( e2 != op(e3,e3)
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e1 != op(e0,e3)
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e1 = op(e0,e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f557,plain,
( spl3_44
| spl3_48
| spl3_70
| spl3_37 ),
inference(avatar_split_clause,[],[f203,f369,f542,f422,f402]) ).
fof(f369,plain,
( spl3_37
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f203,plain,
( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e2)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f555,plain,
( ~ spl3_14
| ~ spl3_38 ),
inference(avatar_split_clause,[],[f69,f374,f271]) ).
fof(f69,plain,
( op(e0,e0) != e3
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e1 != op(e2,e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( op(e0,e0) = e3
& e1 = op(e2,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f553,plain,
( ~ spl3_66
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f174,f475,f513]) ).
fof(f174,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f552,plain,
( spl3_60
| spl3_33
| spl3_12
| spl3_71 ),
inference(avatar_split_clause,[],[f207,f549,f262,f352,f479]) ).
fof(f207,plain,
( e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f547,plain,
( spl3_65
| spl3_41
| spl3_70
| spl3_52 ),
inference(avatar_split_clause,[],[f181,f442,f542,f388,f503]) ).
fof(f181,plain,
( e2 = op(e3,e0)
| op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f546,plain,
( ~ spl3_70
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f175,f279,f542]) ).
fof(f175,plain,
( e1 != op(e3,e0)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(e3,e0)
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e1 = op(e3,e0)
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f545,plain,
( spl3_70
| spl3_27
| spl3_38
| spl3_17 ),
inference(avatar_split_clause,[],[f162,f283,f374,f326,f542]) ).
fof(f162,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f1]) ).
fof(f540,plain,
( spl3_69
| spl3_55
| spl3_59
| spl3_67 ),
inference(avatar_split_clause,[],[f190,f522,f475,f456,f537]) ).
fof(f190,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f535,plain,
( ~ spl3_17
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f176,f442,f283]) ).
fof(f176,plain,
( e2 != op(e3,e0)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e2 != op(e3,e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(e3,e0)
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f533,plain,
( ~ spl3_61
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f140,f460,f484]) ).
fof(f140,plain,
( e3 != op(e2,e2)
| e1 != op(e0,e2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(e2,e2)
| e1 != op(e0,e2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
~ ( e1 = op(e0,e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f532,plain,
( spl3_54
| spl3_68
| spl3_66
| spl3_42 ),
inference(avatar_split_clause,[],[f197,f394,f513,f529,f451]) ).
fof(f197,plain,
( e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f527,plain,
( ~ spl3_33
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f156,f460,f352]) ).
fof(f156,plain,
( e3 != op(e2,e2)
| e0 != op(e1,e2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e0 != op(e1,e2)
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(e1,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f526,plain,
( spl3_28
| spl3_12
| spl3_67
| spl3_3 ),
inference(avatar_split_clause,[],[f192,f222,f522,f262,f330]) ).
fof(f222,plain,
( spl3_3
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f192,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f525,plain,
( ~ spl3_67
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f141,f317,f522]) ).
fof(f141,plain,
( e3 != op(e1,e1)
| e0 != op(e2,e1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(e2,e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(e2,e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f520,plain,
( ~ spl3_9
| spl3_66 ),
inference(avatar_split_clause,[],[f120,f513,f248]) ).
fof(f120,plain,
( e1 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f519,plain,
( spl3_10
| spl3_17
| spl3_61
| spl3_42 ),
inference(avatar_split_clause,[],[f206,f394,f484,f283,f253]) ).
fof(f206,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f518,plain,
( ~ spl3_9
| spl3_57 ),
inference(avatar_split_clause,[],[f122,f464,f248]) ).
fof(f122,plain,
( e1 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f517,plain,
( ~ spl3_51
| spl3_12 ),
inference(avatar_split_clause,[],[f125,f262,f437]) ).
fof(f125,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f511,plain,
( ~ spl3_64
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f211,f218,f497]) ).
fof(f211,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f510,plain,
( ~ spl3_46
| spl3_56 ),
inference(avatar_split_clause,[],[f130,f460,f412]) ).
fof(f130,plain,
( e3 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f509,plain,
( ~ spl3_4
| ~ spl3_57 ),
inference(avatar_split_clause,[],[f152,f464,f226]) ).
fof(f152,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f508,plain,
( ~ spl3_36
| ~ spl3_40 ),
inference(avatar_split_clause,[],[f173,f383,f365]) ).
fof(f365,plain,
( spl3_36
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f173,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e3 = op(e0,e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f507,plain,
( spl3_58
| spl3_57
| spl3_61
| spl3_35 ),
inference(avatar_split_clause,[],[f187,f360,f484,f464,f470]) ).
fof(f187,plain,
( e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f501,plain,
( ~ spl3_53
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f137,f479,f446]) ).
fof(f137,plain,
( e0 != op(e1,e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(e1,e3)
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f500,plain,
( spl3_44
| spl3_63
| spl3_64
| spl3_53 ),
inference(avatar_split_clause,[],[f182,f446,f497,f493,f402]) ).
fof(f182,plain,
( e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f491,plain,
( spl3_61
| spl3_62
| spl3_48
| spl3_26 ),
inference(avatar_split_clause,[],[f158,f322,f422,f488,f484]) ).
fof(f158,plain,
( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f482,plain,
( spl3_59
| spl3_29
| spl3_60
| spl3_2 ),
inference(avatar_split_clause,[],[f205,f218,f479,f334,f475]) ).
fof(f205,plain,
( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f473,plain,
( ~ spl3_55
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f136,f470,f456]) ).
fof(f136,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e1 = op(e3,e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f468,plain,
( ~ spl3_51
| spl3_2 ),
inference(avatar_split_clause,[],[f126,f218,f437]) ).
fof(f126,plain,
( e0 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f435,plain,
( spl3_32
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f128,f412,f347]) ).
fof(f128,plain,
( ~ sP0
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f416,plain,
( ~ spl3_25
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f138,f369,f317]) ).
fof(f138,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f415,plain,
( spl3_25
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f127,f412,f317]) ).
fof(f127,plain,
( ~ sP0
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f392,plain,
( spl3_5
| spl3_25
| spl3_36
| spl3_13 ),
inference(avatar_split_clause,[],[f209,f266,f365,f317,f231]) ).
fof(f209,plain,
( e3 = op(e2,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f391,plain,
( ~ spl3_41
| ~ spl3_38 ),
inference(avatar_split_clause,[],[f139,f374,f388]) ).
fof(f139,plain,
( op(e0,e0) != e3
| e2 != op(e1,e0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e2 != op(e1,e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( op(e0,e0) = e3
& e2 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f386,plain,
( ~ spl3_40
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f70,f222,f383]) ).
fof(f70,plain,
( e0 != op(e3,e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e0 != op(e3,e1)
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f363,plain,
( spl3_33
| spl3_22
| spl3_34
| spl3_35 ),
inference(avatar_split_clause,[],[f161,f360,f356,f305,f352]) ).
fof(f161,plain,
( e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f303,plain,
( spl3_18
| spl3_19
| spl3_20
| spl3_21 ),
inference(avatar_split_clause,[],[f149,f300,f296,f292,f288]) ).
fof(f149,plain,
( e0 = unit
| e2 = unit
| e1 = unit
| e3 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f286,plain,
( spl3_14
| spl3_15
| spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f202,f283,f279,f275,f271]) ).
fof(f202,plain,
( op(e0,e0) = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
( spl3_10
| spl3_8
| spl3_6
| spl3_11 ),
inference(avatar_split_clause,[],[f189,f257,f235,f244,f253]) ).
fof(f189,plain,
( e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f200,f226,f222,f218,f214]) ).
fof(f200,plain,
( e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG045+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n018.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 14:56:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (1000)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)
% 0.18/0.51 % (1005)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)
% 0.18/0.51 % (1007)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (1007)Instruction limit reached!
% 0.18/0.51 % (1007)------------------------------
% 0.18/0.51 % (1007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.51 % (1029)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.29/0.52 % (1015)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.29/0.52 % (1007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (1007)Termination reason: Unknown
% 1.29/0.52 % (1007)Termination phase: Saturation
% 1.29/0.52
% 1.29/0.52 % (1007)Memory used [KB]: 5628
% 1.29/0.52 % (1007)Time elapsed: 0.116 s
% 1.29/0.52 % (1007)Instructions burned: 8 (million)
% 1.29/0.52 % (1007)------------------------------
% 1.29/0.52 % (1007)------------------------------
% 1.29/0.52 % (1028)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.29/0.52 % (1037)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.29/0.53 % (1035)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)
% 1.29/0.53 % (1033)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)
% 1.29/0.53 % (1036)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.53 % (1008)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.53 % (1030)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.53 % (1008)Instruction limit reached!
% 1.29/0.53 % (1008)------------------------------
% 1.29/0.53 % (1008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (1008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (1008)Termination reason: Unknown
% 1.29/0.53 % (1008)Termination phase: Property scanning
% 1.29/0.53
% 1.29/0.53 % (1008)Memory used [KB]: 895
% 1.29/0.53 % (1008)Time elapsed: 0.003 s
% 1.29/0.53 % (1008)Instructions burned: 4 (million)
% 1.29/0.53 % (1008)------------------------------
% 1.29/0.53 % (1008)------------------------------
% 1.29/0.53 % (1003)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)
% 1.29/0.53 % (1032)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.53 % (1002)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)
% 1.29/0.53 % (1004)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (1006)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (1001)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)
% 1.41/0.53 % (1016)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)
% 1.41/0.54 % (1027)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.54 % (1023)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)
% 1.41/0.54 % (1014)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)
% 1.41/0.54 % (1018)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54 % (1026)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.54 TRYING [4]
% 1.41/0.54 % (1013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54 % (1009)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)
% 1.41/0.54 % (1011)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)
% 1.41/0.54 % (1010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.54 % (1012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.55 % (1017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.56 % (1029)First to succeed.
% 1.41/0.57 TRYING [5]
% 1.41/0.57 % (1029)Refutation found. Thanks to Tanya!
% 1.41/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.58 % (1029)------------------------------
% 1.41/0.58 % (1029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.58 % (1029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.58 % (1029)Termination reason: Refutation
% 1.41/0.58
% 1.41/0.58 % (1029)Memory used [KB]: 6140
% 1.41/0.58 % (1029)Time elapsed: 0.056 s
% 1.41/0.58 % (1029)Instructions burned: 32 (million)
% 1.41/0.58 % (1029)------------------------------
% 1.41/0.58 % (1029)------------------------------
% 1.41/0.58 % (999)Success in time 0.231 s
%------------------------------------------------------------------------------