TSTP Solution File: ALG023+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG023+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 : n025.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 15:42:01 EDT 2022
% Result : Unsatisfiable 2.01s 0.60s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 64
% Syntax : Number of formulae : 278 ( 31 unt; 0 def)
% Number of atoms : 754 ( 413 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 799 ( 323 ~; 303 |; 124 &)
% ( 49 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 53 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2060,plain,
$false,
inference(avatar_sat_refutation,[],[f307,f355,f372,f394,f437,f446,f463,f480,f495,f505,f535,f554,f560,f574,f635,f646,f647,f666,f673,f674,f687,f688,f699,f705,f710,f719,f769,f771,f773,f775,f811,f824,f831,f949,f961,f984,f1007,f1021,f1022,f1024,f1088,f1100,f1102,f1272,f1278,f1327,f1329,f1338,f1343,f1347,f1434,f1455,f1565,f1566,f1604,f1606,f1631,f1636,f1643,f1644,f1646,f1652,f1659,f1811,f1820,f1840,f1842,f1857,f1871,f1889,f2059]) ).
fof(f2059,plain,
( ~ spl3_17
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2058,plain,
( $false
| ~ spl3_17
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f2057,f454]) ).
fof(f454,plain,
( e0 = op(e0,e1)
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl3_38
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f2057,plain,
( e0 != op(e0,e1)
| ~ spl3_17 ),
inference(forward_demodulation,[],[f266,f363]) ).
fof(f363,plain,
( e0 = op(e0,e3)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl3_17
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f266,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e0) != op(e0,e2)
& op(e3,e1) != op(e3,e2)
& op(e1,e0) != op(e1,e3)
& op(e2,e0) != op(e3,e0)
& op(e3,e0) != op(e3,e3)
& op(e0,e2) != op(e1,e2)
& op(e0,e0) != op(e1,e0)
& op(e1,e3) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e1,e0) != op(e2,e0)
& op(e2,e3) != op(e3,e3)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e0,e2)
& op(e1,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e2,e0) != op(e2,e3)
& op(e0,e1) != op(e0,e3)
& op(e1,e1) != op(e3,e1)
& op(e0,e0) != op(e3,e0)
& op(e2,e1) != op(e3,e1)
& op(e2,e0) != op(e2,e2)
& op(e1,e2) != op(e1,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e1) != op(e1,e3)
& op(e0,e3) != op(e1,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e3) != op(e3,e3)
& op(e1,e2) != op(e2,e2)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e1,e1)
& op(e0,e0) != op(e0,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e0) != op(e1,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e2,e3)
& op(e0,e1) != op(e2,e1)
& op(e1,e1) != op(e1,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f1889,plain,
( spl3_81
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1888,f383,f662]) ).
fof(f662,plain,
( spl3_81
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f383,plain,
( spl3_22
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f1888,plain,
( e2 = op(e2,e1)
| ~ spl3_22 ),
inference(forward_demodulation,[],[f201,f385]) ).
fof(f385,plain,
( e1 = unit
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f201,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e1 = op(e1,unit)
& e1 = op(unit,e1)
& e3 = op(e3,unit)
& e0 = op(e0,unit)
& e2 = op(e2,unit)
& e3 = op(unit,e3)
& e2 = op(unit,e2)
& e0 = op(unit,e0)
& ( e1 = unit
| e3 = unit
| e0 = unit
| e2 = unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1871,plain,
( ~ spl3_77
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f1244,f361,f641]) ).
fof(f641,plain,
( spl3_77
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f1244,plain,
( e0 != op(e0,e2)
| ~ spl3_17 ),
inference(forward_demodulation,[],[f259,f363]) ).
fof(f259,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1857,plain,
( ~ spl3_13
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f1231,f662,f343]) ).
fof(f343,plain,
( spl3_13
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f1231,plain,
( e2 != op(e1,e1)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f256,f664]) ).
fof(f664,plain,
( e2 = op(e2,e1)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f256,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1842,plain,
( ~ spl3_18
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f1247,f318,f365]) ).
fof(f365,plain,
( spl3_18
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f318,plain,
( spl3_7
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f1247,plain,
( e1 != op(e0,e3)
| ~ spl3_7 ),
inference(forward_demodulation,[],[f260,f320]) ).
fof(f320,plain,
( e1 = op(e3,e3)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f260,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1840,plain,
( ~ spl3_42
| ~ spl3_47 ),
inference(avatar_split_clause,[],[f1229,f492,f469]) ).
fof(f469,plain,
( spl3_42
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f492,plain,
( spl3_47
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f1229,plain,
( e1 != op(e1,e2)
| ~ spl3_47 ),
inference(forward_demodulation,[],[f254,f494]) ).
fof(f494,plain,
( e1 = op(e2,e2)
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f254,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1820,plain,
( ~ spl3_16
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f1758,f681,f357]) ).
fof(f357,plain,
( spl3_16
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f681,plain,
( spl3_84
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
fof(f1758,plain,
( e3 != op(e0,e3)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f242,f683]) ).
fof(f683,plain,
( e3 = op(e2,e3)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f242,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1811,plain,
( ~ spl3_19
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1810,plain,
( $false
| ~ spl3_19
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1809,f401]) ).
fof(f401,plain,
( op(e0,e0) = e2
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl3_26
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f1809,plain,
( op(e0,e0) != e2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f250,f371]) ).
fof(f371,plain,
( e2 = op(e0,e3)
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl3_19
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f250,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1659,plain,
( spl3_42
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1658,f391,f469]) ).
fof(f391,plain,
( spl3_24
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f1658,plain,
( e1 = op(e1,e2)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f205,f393]) ).
fof(f393,plain,
( e2 = unit
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f205,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f1652,plain,
( ~ spl3_15
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f1281,f434,f352]) ).
fof(f352,plain,
( spl3_15
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f434,plain,
( spl3_34
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f1281,plain,
( e3 != op(e2,e2)
| ~ spl3_34 ),
inference(forward_demodulation,[],[f243,f436]) ).
fof(f436,plain,
( e3 = op(e3,e2)
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f243,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1646,plain,
( spl3_34
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1645,f391,f434]) ).
fof(f1645,plain,
( e3 = op(e3,e2)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f203,f393]) ).
fof(f203,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f1644,plain,
( ~ spl3_16
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1233,f417,f357]) ).
fof(f417,plain,
( spl3_30
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f1233,plain,
( e3 != op(e0,e3)
| ~ spl3_30 ),
inference(forward_demodulation,[],[f257,f419]) ).
fof(f419,plain,
( e3 = op(e1,e3)
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f257,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1643,plain,
( spl3_77
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1637,f391,f641]) ).
fof(f1637,plain,
( e0 = op(e0,e2)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f202,f393]) ).
fof(f202,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f1636,plain,
( spl3_35
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1635,f391,f439]) ).
fof(f439,plain,
( spl3_35
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f1635,plain,
( e2 = op(e2,e2)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f201,f393]) ).
fof(f1631,plain,
( spl3_84
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1627,f391,f681]) ).
fof(f1627,plain,
( e3 = op(e2,e3)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f200,f393]) ).
fof(f200,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1606,plain,
( ~ spl3_9
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f1279,f550,f326]) ).
fof(f326,plain,
( spl3_9
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f550,plain,
( spl3_59
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f1279,plain,
( e3 != op(e3,e3)
| ~ spl3_59 ),
inference(forward_demodulation,[],[f252,f552]) ).
fof(f552,plain,
( e3 = op(e3,e1)
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f252,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1604,plain,
( ~ spl3_57
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f976,f448,f542]) ).
fof(f542,plain,
( spl3_57
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f448,plain,
( spl3_37
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f976,plain,
( e1 != op(e3,e1)
| ~ spl3_37 ),
inference(forward_demodulation,[],[f247,f450]) ).
fof(f450,plain,
( e1 = op(e0,e1)
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f247,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1566,plain,
( ~ spl3_41
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f1531,f422,f465]) ).
fof(f465,plain,
( spl3_41
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f422,plain,
( spl3_31
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f1531,plain,
( e2 != op(e1,e2)
| ~ spl3_31 ),
inference(forward_demodulation,[],[f244,f424]) ).
fof(f424,plain,
( e2 = op(e3,e2)
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f244,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1565,plain,
( ~ spl3_42
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f1561,f405,f469]) ).
fof(f405,plain,
( spl3_27
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f1561,plain,
( e1 != op(e1,e2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f261,f407]) ).
fof(f407,plain,
( e1 = op(e1,e3)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f261,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1455,plain,
( ~ spl3_40
| ~ spl3_51 ),
inference(avatar_split_clause,[],[f1454,f511,f460]) ).
fof(f460,plain,
( spl3_40
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f511,plain,
( spl3_51
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f1454,plain,
( e3 != op(e0,e1)
| ~ spl3_51 ),
inference(forward_demodulation,[],[f248,f512]) ).
fof(f512,plain,
( op(e0,e0) = e3
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f248,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1434,plain,
( ~ spl3_70
| ~ spl3_42 ),
inference(avatar_split_clause,[],[f1433,f469,f605]) ).
fof(f605,plain,
( spl3_70
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f1433,plain,
( e1 != op(e1,e0)
| ~ spl3_42 ),
inference(forward_demodulation,[],[f246,f471]) ).
fof(f471,plain,
( e1 = op(e1,e2)
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f246,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1347,plain,
( spl3_27
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f1344,f387,f405]) ).
fof(f387,plain,
( spl3_23
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f1344,plain,
( e1 = op(e1,e3)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f205,f389]) ).
fof(f389,plain,
( e3 = unit
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1343,plain,
( spl3_57
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f1342,f387,f542]) ).
fof(f1342,plain,
( e1 = op(e3,e1)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f204,f389]) ).
fof(f204,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1338,plain,
( spl3_17
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f1337,f387,f361]) ).
fof(f1337,plain,
( e0 = op(e0,e3)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f202,f389]) ).
fof(f1329,plain,
( spl3_31
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f1323,f387,f422]) ).
fof(f1323,plain,
( e2 = op(e3,e2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f199,f389]) ).
fof(f199,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1327,plain,
( ~ spl3_35
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f943,f422,f439]) ).
fof(f943,plain,
( e2 != op(e2,e2)
| ~ spl3_31 ),
inference(forward_demodulation,[],[f243,f424]) ).
fof(f1278,plain,
( ~ spl3_86
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f1225,f434,f695]) ).
fof(f695,plain,
( spl3_86
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
fof(f1225,plain,
( e3 != op(e3,e0)
| ~ spl3_34 ),
inference(forward_demodulation,[],[f251,f436]) ).
fof(f251,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1272,plain,
( spl3_22
| ~ spl3_7
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f1271,f617,f318,f383]) ).
fof(f617,plain,
( spl3_72
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f1271,plain,
( e1 = unit
| ~ spl3_7
| ~ spl3_72 ),
inference(forward_demodulation,[],[f911,f320]) ).
fof(f911,plain,
( op(e3,e3) = unit
| ~ spl3_72 ),
inference(forward_demodulation,[],[f75,f619]) ).
fof(f619,plain,
( e3 = inv(e3)
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f75,plain,
unit = op(inv(e3),e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( unit = op(e0,inv(e0))
& unit = op(inv(e2),e2)
& unit = op(inv(e1),e1)
& unit = op(e2,inv(e2))
& unit = op(e3,inv(e3))
& ( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) )
& ( e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3)
| e3 = inv(e3) )
& unit = op(inv(e0),e0)
& unit = op(inv(e3),e3)
& unit = op(e1,inv(e1))
& ( e0 = inv(e0)
| e1 = inv(e0)
| e3 = inv(e0)
| e2 = inv(e0) )
& ( e1 = inv(e1)
| e3 = inv(e1)
| e0 = inv(e1)
| e2 = inv(e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1102,plain,
( spl3_59
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1101,f383,f550]) ).
fof(f1101,plain,
( e3 = op(e3,e1)
| ~ spl3_22 ),
inference(forward_demodulation,[],[f203,f385]) ).
fof(f1100,plain,
( spl3_38
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1097,f383,f452]) ).
fof(f1097,plain,
( e0 = op(e0,e1)
| ~ spl3_22 ),
inference(forward_demodulation,[],[f202,f385]) ).
fof(f1088,plain,
( spl3_30
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1084,f383,f417]) ).
fof(f1084,plain,
( e3 = op(e1,e3)
| ~ spl3_22 ),
inference(forward_demodulation,[],[f200,f385]) ).
fof(f1024,plain,
( ~ spl3_12
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f1023,f448,f339]) ).
fof(f339,plain,
( spl3_12
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f1023,plain,
( e1 != op(e1,e1)
| ~ spl3_37 ),
inference(forward_demodulation,[],[f249,f450]) ).
fof(f249,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1022,plain,
( ~ spl3_51
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f986,f357,f511]) ).
fof(f986,plain,
( op(e0,e0) != e3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f250,f359]) ).
fof(f359,plain,
( e3 = op(e0,e3)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f1021,plain,
( ~ spl3_46
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f981,f448,f487]) ).
fof(f487,plain,
( spl3_46
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f981,plain,
( op(e0,e0) != e1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f248,f450]) ).
fof(f1007,plain,
( spl3_21
| ~ spl3_10
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f1006,f617,f330,f379]) ).
fof(f379,plain,
( spl3_21
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f330,plain,
( spl3_10
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f1006,plain,
( e0 = unit
| ~ spl3_10
| ~ spl3_72 ),
inference(forward_demodulation,[],[f911,f332]) ).
fof(f332,plain,
( e0 = op(e3,e3)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f984,plain,
( ~ spl3_38
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f983,f295,f452]) ).
fof(f295,plain,
( spl3_2
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f983,plain,
( e0 != op(e0,e1)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f249,f296]) ).
fof(f296,plain,
( e0 = op(e1,e1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f961,plain,
( ~ spl3_33
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f960,f304,f430]) ).
fof(f430,plain,
( spl3_33
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f304,plain,
( spl3_4
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f960,plain,
( e0 != op(e3,e2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f243,f306]) ).
fof(f306,plain,
( e0 = op(e2,e2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f949,plain,
( ~ spl3_44
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f948,f295,f477]) ).
fof(f477,plain,
( spl3_44
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f948,plain,
( e0 != op(e1,e2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f240,f296]) ).
fof(f240,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f831,plain,
( ~ spl3_51
| ~ spl3_56 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl3_51
| ~ spl3_56 ),
inference(subsumption_resolution,[],[f829,f88]) ).
fof(f88,plain,
e0 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e0 != e1
& e1 != e2
& e1 != e3
& e0 != e3
& e2 != e3
& e0 != e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f829,plain,
( e0 = e3
| ~ spl3_51
| ~ spl3_56 ),
inference(forward_demodulation,[],[f512,f539]) ).
fof(f539,plain,
( e0 = op(e0,e0)
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl3_56
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f824,plain,
( ~ spl3_4
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl3_4
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f822,f86]) ).
fof(f86,plain,
e0 != e2,
inference(cnf_transformation,[],[f10]) ).
fof(f822,plain,
( e0 = e2
| ~ spl3_4
| ~ spl3_35 ),
inference(backward_demodulation,[],[f441,f306]) ).
fof(f441,plain,
( e2 = op(e2,e2)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f811,plain,
( ~ spl3_26
| ~ spl3_56 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl3_26
| ~ spl3_56 ),
inference(subsumption_resolution,[],[f809,f86]) ).
fof(f809,plain,
( e0 = e2
| ~ spl3_26
| ~ spl3_56 ),
inference(backward_demodulation,[],[f401,f539]) ).
fof(f775,plain,
( spl3_70
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f774,f379,f605]) ).
fof(f774,plain,
( e1 = op(e1,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f205,f381]) ).
fof(f381,plain,
( e0 = unit
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f773,plain,
( spl3_37
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f772,f379,f448]) ).
fof(f772,plain,
( e1 = op(e0,e1)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f204,f381]) ).
fof(f771,plain,
( spl3_86
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f770,f379,f695]) ).
fof(f770,plain,
( e3 = op(e3,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f203,f381]) ).
fof(f769,plain,
( spl3_56
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f768,f379,f537]) ).
fof(f768,plain,
( e0 = op(e0,e0)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f202,f381]) ).
fof(f719,plain,
( spl3_72
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f718,f387,f617]) ).
fof(f718,plain,
( e3 = inv(e3)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f238,f389]) ).
fof(f238,plain,
unit = inv(unit),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
unit = inv(unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f710,plain,
( spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f124,f300,f295]) ).
fof(f300,plain,
( spl3_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f124,plain,
( ~ sP0
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e3,e3)
& e0 = op(e2,e2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e3,e3)
& e0 = op(e2,e2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f705,plain,
( ~ spl3_3
| spl3_10 ),
inference(avatar_split_clause,[],[f122,f330,f300]) ).
fof(f122,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f699,plain,
( ~ spl3_14
| spl3_51 ),
inference(avatar_split_clause,[],[f117,f511,f348]) ).
fof(f348,plain,
( spl3_14
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f117,plain,
( op(e0,e0) = e3
| ~ sP1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f688,plain,
( spl3_8
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f116,f443,f322]) ).
fof(f322,plain,
( spl3_8
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f443,plain,
( spl3_36
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f116,plain,
( ~ sP2
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 = op(e3,e3)
& op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 = op(e3,e3)
& op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f687,plain,
( ~ spl3_19
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f111,f318,f369]) ).
fof(f111,plain,
( e1 != op(e3,e3)
| e2 != op(e0,e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(e0,e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e2 = op(e0,e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f674,plain,
( spl3_9
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f119,f348,f326]) ).
fof(f119,plain,
( ~ sP1
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f673,plain,
( ~ spl3_36
| spl3_26 ),
inference(avatar_split_clause,[],[f115,f400,f443]) ).
fof(f115,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f666,plain,
( spl3_36
| spl3_3
| spl3_7
| spl3_14 ),
inference(avatar_split_clause,[],[f126,f348,f318,f300,f443]) ).
fof(f126,plain,
( sP1
| e1 = op(e3,e3)
| sP0
| sP2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f11,f63,f62,f61]) ).
fof(f11,axiom,
( ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 )
| ( e2 = op(e3,e3)
& op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e3,e3)
& e0 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f647,plain,
( ~ spl3_4
| ~ spl3_32 ),
inference(avatar_split_clause,[],[f70,f426,f304]) ).
fof(f426,plain,
( spl3_32
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f70,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(e3,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f646,plain,
( ~ spl3_39
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f68,f335,f456]) ).
fof(f456,plain,
( spl3_39
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f335,plain,
( spl3_11
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f68,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f635,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f289,f365,f322]) ).
fof(f289,plain,
( e1 != op(e0,e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(e3,e3)
| e1 != op(e0,e3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e0,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f574,plain,
( ~ spl3_14
| spl3_11 ),
inference(avatar_split_clause,[],[f118,f335,f348]) ).
fof(f118,plain,
( e3 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f560,plain,
( spl3_3
| spl3_36
| spl3_14
| spl3_12 ),
inference(avatar_split_clause,[],[f127,f339,f348,f443,f300]) ).
fof(f127,plain,
( e1 = op(e1,e1)
| sP1
| sP2
| sP0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f554,plain,
( spl3_46
| spl3_14
| spl3_3
| spl3_36 ),
inference(avatar_split_clause,[],[f125,f443,f300,f348,f487]) ).
fof(f125,plain,
( sP2
| sP0
| sP1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f535,plain,
( spl3_13
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f113,f443,f343]) ).
fof(f113,plain,
( ~ sP2
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f505,plain,
( ~ spl3_4
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f84,f473,f304]) ).
fof(f473,plain,
( spl3_43
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
fof(f84,plain,
( e3 != op(e1,e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e3 != op(e1,e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e3 = op(e1,e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f495,plain,
( spl3_14
| spl3_36
| spl3_3
| spl3_47 ),
inference(avatar_split_clause,[],[f128,f492,f300,f443,f348]) ).
fof(f128,plain,
( e1 = op(e2,e2)
| sP0
| sP2
| sP1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f480,plain,
( spl3_41
| spl3_42
| spl3_43
| spl3_44 ),
inference(avatar_split_clause,[],[f230,f477,f473,f469,f465]) ).
fof(f230,plain,
( e0 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1) )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e3
| e0 = op(e0,e0) )
& ( e2 = op(e1,e0)
| e3 = op(e1,e0)
| e0 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3)
| e1 = op(e3,e3) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e1 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e2 = op(e0,e2)
| e1 = op(e0,e2)
| e3 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e2 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e1 = op(e2,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f463,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_40 ),
inference(avatar_split_clause,[],[f228,f460,f456,f452,f448]) ).
fof(f228,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f446,plain,
( spl3_35
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f114,f443,f439]) ).
fof(f114,plain,
( ~ sP2
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f437,plain,
( spl3_31
| spl3_32
| spl3_33
| spl3_34 ),
inference(avatar_split_clause,[],[f224,f434,f430,f426,f422]) ).
fof(f224,plain,
( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f394,plain,
( spl3_21
| spl3_22
| spl3_23
| spl3_24 ),
inference(avatar_split_clause,[],[f197,f391,f387,f383,f379]) ).
fof(f197,plain,
( e2 = unit
| e3 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f3]) ).
fof(f372,plain,
( spl3_16
| spl3_17
| spl3_18
| spl3_19 ),
inference(avatar_split_clause,[],[f225,f369,f365,f361,f357]) ).
fof(f225,plain,
( e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f355,plain,
( ~ spl3_14
| spl3_15 ),
inference(avatar_split_clause,[],[f120,f352,f348]) ).
fof(f120,plain,
( e3 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f307,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f121,f304,f300]) ).
fof(f121,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % 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 : n025.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 14:59:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (1876)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)
% 0.18/0.49 % (1884)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (1884)Instruction limit reached!
% 0.18/0.49 % (1884)------------------------------
% 0.18/0.49 % (1884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (1884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (1884)Termination reason: Unknown
% 0.18/0.49 % (1884)Termination phase: Preprocessing 1
% 0.18/0.49
% 0.18/0.49 % (1884)Memory used [KB]: 895
% 0.18/0.49 % (1884)Time elapsed: 0.004 s
% 0.18/0.49 % (1884)Instructions burned: 2 (million)
% 0.18/0.49 % (1884)------------------------------
% 0.18/0.49 % (1884)------------------------------
% 0.18/0.49 % (1899)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.49 % (1877)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)
% 0.18/0.50 % (1885)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 % (1892)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 % (1891)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)
% 0.18/0.50 % (1886)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (1883)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (1881)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 % (1901)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 % (1883)Instruction limit reached!
% 0.18/0.51 % (1883)------------------------------
% 0.18/0.51 % (1883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (1883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (1883)Termination reason: Unknown
% 0.18/0.51 % (1883)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (1883)Memory used [KB]: 5628
% 0.18/0.51 % (1883)Time elapsed: 0.007 s
% 0.18/0.51 % (1883)Instructions burned: 7 (million)
% 0.18/0.51 % (1883)------------------------------
% 0.18/0.51 % (1883)------------------------------
% 0.18/0.52 % (1888)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52 % (1880)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (1903)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)
% 0.18/0.52 % (1878)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)
% 0.18/0.52 % (1898)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52 % (1905)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52 % (1904)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (1879)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)
% 0.18/0.53 % (1896)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 TRYING [4]
% 0.18/0.53 % (1895)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)
% 0.18/0.53 % (1890)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 % (1902)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 % (1897)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54 % (1887)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)
% 0.18/0.54 % (1894)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (1889)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55 % (1900)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.56 % (1882)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.57 % (1893)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.57 % (1892)First to succeed.
% 0.18/0.58 % (1878)Instruction limit reached!
% 0.18/0.58 % (1878)------------------------------
% 0.18/0.58 % (1878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (1878)Termination reason: Unknown
% 0.18/0.58 % (1878)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (1878)Memory used [KB]: 1279
% 0.18/0.58 % (1878)Time elapsed: 0.195 s
% 0.18/0.58 % (1878)Instructions burned: 37 (million)
% 0.18/0.58 % (1878)------------------------------
% 0.18/0.58 % (1878)------------------------------
% 0.18/0.58 % (1877)Instruction limit reached!
% 0.18/0.58 % (1877)------------------------------
% 0.18/0.58 % (1877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (1877)Termination reason: Unknown
% 0.18/0.58 % (1877)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (1877)Memory used [KB]: 6268
% 0.18/0.58 % (1877)Time elapsed: 0.026 s
% 0.18/0.58 % (1877)Instructions burned: 50 (million)
% 0.18/0.58 % (1877)------------------------------
% 0.18/0.58 % (1877)------------------------------
% 0.18/0.58 % (1885)Instruction limit reached!
% 0.18/0.58 % (1885)------------------------------
% 0.18/0.58 % (1885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (1885)Termination reason: Unknown
% 0.18/0.58 % (1885)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (1885)Memory used [KB]: 1535
% 0.18/0.58 % (1885)Time elapsed: 0.165 s
% 0.18/0.58 % (1885)Instructions burned: 51 (million)
% 0.18/0.58 % (1885)------------------------------
% 0.18/0.58 % (1885)------------------------------
% 0.18/0.59 % (1886)Instruction limit reached!
% 0.18/0.59 % (1886)------------------------------
% 0.18/0.59 % (1886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59 % (1886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59 % (1886)Termination reason: Unknown
% 0.18/0.59 % (1886)Termination phase: Saturation
% 0.18/0.59
% 0.18/0.59 % (1886)Memory used [KB]: 6524
% 0.18/0.59 % (1886)Time elapsed: 0.025 s
% 0.18/0.59 % (1886)Instructions burned: 50 (million)
% 0.18/0.59 % (1886)------------------------------
% 0.18/0.59 % (1886)------------------------------
% 0.18/0.59 TRYING [5]
% 2.01/0.60 % (1880)Instruction limit reached!
% 2.01/0.60 % (1880)------------------------------
% 2.01/0.60 % (1880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (1880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (1880)Termination reason: Unknown
% 2.01/0.60 % (1880)Termination phase: Saturation
% 2.01/0.60
% 2.01/0.60 % (1880)Memory used [KB]: 6268
% 2.01/0.60 % (1880)Time elapsed: 0.028 s
% 2.01/0.60 % (1880)Instructions burned: 51 (million)
% 2.01/0.60 % (1880)------------------------------
% 2.01/0.60 % (1880)------------------------------
% 2.01/0.60 % (1892)Refutation found. Thanks to Tanya!
% 2.01/0.60 % SZS status Unsatisfiable for theBenchmark
% 2.01/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.60 % (1892)------------------------------
% 2.01/0.60 % (1892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (1892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (1892)Termination reason: Refutation
% 2.01/0.60
% 2.01/0.60 % (1892)Memory used [KB]: 6396
% 2.01/0.60 % (1892)Time elapsed: 0.180 s
% 2.01/0.60 % (1892)Instructions burned: 59 (million)
% 2.01/0.60 % (1892)------------------------------
% 2.01/0.60 % (1892)------------------------------
% 2.01/0.60 % (1875)Success in time 0.259 s
%------------------------------------------------------------------------------