TSTP Solution File: SYN007+1.014 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 12:08:26 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 65
% Syntax : Number of formulae : 307 ( 1 unt; 0 def)
% Number of atoms : 1155 ( 0 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1306 ( 458 ~; 596 |; 80 &)
% ( 170 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 79 ( 78 usr; 79 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f424,plain,
$false,
inference(avatar_sat_refutation,[],[f174,f175,f176,f177,f186,f187,f188,f189,f198,f199,f200,f201,f210,f211,f212,f213,f222,f223,f224,f225,f234,f235,f236,f237,f246,f247,f248,f249,f258,f259,f260,f261,f270,f271,f272,f273,f282,f283,f284,f285,f294,f295,f296,f297,f306,f307,f308,f309,f318,f319,f320,f321,f330,f331,f332,f333,f338,f339,f340,f341,f346,f347,f348,f349,f354,f355,f356,f357,f362,f363,f364,f365,f370,f371,f372,f373,f378,f379,f380,f381,f386,f387,f388,f389,f394,f395,f396,f397,f402,f403,f404,f405,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423]) ).
fof(f423,plain,
( spl25_28
| spl25_3 ),
inference(avatar_split_clause,[],[f160,f171,f323]) ).
fof(f323,plain,
( spl25_28
<=> p_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_28])]) ).
fof(f171,plain,
( spl25_3
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f160,plain,
( sP24
| p_1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( ~ sP24
| ~ p_1 )
& ( sP24
| p_1 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( p_1
<~> sP24 ),
inference(definition_folding,[],[f3,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).
fof(f4,plain,
( sP0
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,plain,
( sP1
<=> ( p_11
<=> sP0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,plain,
( sP2
<=> ( p_10
<=> sP1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f7,plain,
( sP3
<=> ( p_9
<=> sP2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f8,plain,
( sP4
<=> ( p_8
<=> sP3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f9,plain,
( sP5
<=> ( p_7
<=> sP4 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f10,plain,
( sP6
<=> ( p_6
<=> sP5 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f11,plain,
( sP7
<=> ( p_5
<=> sP6 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f12,plain,
( sP8
<=> ( p_4
<=> sP7 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f13,plain,
( sP9
<=> ( p_3
<=> sP8 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f14,plain,
( sP10
<=> ( p_2
<=> sP9 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f15,plain,
( sP11
<=> ( p_1
<=> sP10 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f16,plain,
( sP12
<=> ( p_14
<=> sP11 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f17,plain,
( sP13
<=> ( p_13
<=> sP12 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f18,plain,
( sP14
<=> ( p_12
<=> sP13 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f19,plain,
( sP15
<=> ( p_11
<=> sP14 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f20,plain,
( sP16
<=> ( p_10
<=> sP15 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f21,plain,
( sP17
<=> ( p_9
<=> sP16 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f22,plain,
( sP18
<=> ( p_8
<=> sP17 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f23,plain,
( sP19
<=> ( p_7
<=> sP18 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f24,plain,
( sP20
<=> ( p_6
<=> sP19 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f25,plain,
( sP21
<=> ( p_5
<=> sP20 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f26,plain,
( sP22
<=> ( p_4
<=> sP21 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f27,plain,
( sP23
<=> ( p_3
<=> sP22 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f28,plain,
( sP24
<=> ( p_2
<=> sP23 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f3,plain,
( p_1
<~> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f422,plain,
( ~ spl25_28
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f161,f171,f323]) ).
fof(f161,plain,
( ~ sP24
| ~ p_1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f421,plain,
( ~ spl25_39
| ~ spl25_22
| ~ spl25_24
| spl25_26 ),
inference(avatar_split_clause,[],[f152,f311,f299,f287,f407]) ).
fof(f407,plain,
( spl25_39
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_39])]) ).
fof(f287,plain,
( spl25_22
<=> p_12 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_22])]) ).
fof(f299,plain,
( spl25_24
<=> p_13 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).
fof(f311,plain,
( spl25_26
<=> p_14 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
fof(f152,plain,
( p_14
| ~ p_13
| ~ p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( sP0
| ( ( ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) )
| ~ p_12 )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| p_12 ) ) )
& ( ( ( p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| ~ p_12 ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f420,plain,
( ~ spl25_39
| ~ spl25_22
| ~ spl25_26
| spl25_24 ),
inference(avatar_split_clause,[],[f153,f299,f311,f287,f407]) ).
fof(f153,plain,
( p_13
| ~ p_14
| ~ p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f419,plain,
( ~ spl25_39
| spl25_24
| spl25_26
| spl25_22 ),
inference(avatar_split_clause,[],[f154,f287,f311,f299,f407]) ).
fof(f154,plain,
( p_12
| p_14
| p_13
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f418,plain,
( ~ spl25_39
| ~ spl25_24
| ~ spl25_26
| spl25_22 ),
inference(avatar_split_clause,[],[f155,f287,f311,f299,f407]) ).
fof(f155,plain,
( p_12
| ~ p_14
| ~ p_13
| ~ sP0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f417,plain,
( spl25_22
| ~ spl25_24
| spl25_26
| spl25_39 ),
inference(avatar_split_clause,[],[f156,f407,f311,f299,f287]) ).
fof(f156,plain,
( sP0
| p_14
| ~ p_13
| p_12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f416,plain,
( spl25_22
| ~ spl25_26
| spl25_24
| spl25_39 ),
inference(avatar_split_clause,[],[f157,f407,f299,f311,f287]) ).
fof(f157,plain,
( sP0
| p_13
| ~ p_14
| p_12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f415,plain,
( ~ spl25_22
| spl25_24
| spl25_26
| spl25_39 ),
inference(avatar_split_clause,[],[f158,f407,f311,f299,f287]) ).
fof(f158,plain,
( sP0
| p_14
| p_13
| ~ p_12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f414,plain,
( ~ spl25_22
| ~ spl25_24
| ~ spl25_26
| spl25_39 ),
inference(avatar_split_clause,[],[f159,f407,f311,f299,f287]) ).
fof(f159,plain,
( sP0
| ~ p_14
| ~ p_13
| ~ p_12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f413,plain,
( ~ spl25_38
| ~ spl25_20
| spl25_39 ),
inference(avatar_split_clause,[],[f148,f407,f275,f399]) ).
fof(f399,plain,
( spl25_38
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_38])]) ).
fof(f275,plain,
( spl25_20
<=> p_11 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f148,plain,
( sP0
| ~ p_11
| ~ sP1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( sP1
| ( ( ~ sP0
| ~ p_11 )
& ( sP0
| p_11 ) ) )
& ( ( ( p_11
| ~ sP0 )
& ( sP0
| ~ p_11 ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f412,plain,
( ~ spl25_38
| ~ spl25_39
| spl25_20 ),
inference(avatar_split_clause,[],[f149,f275,f407,f399]) ).
fof(f149,plain,
( p_11
| ~ sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f411,plain,
( spl25_20
| spl25_39
| spl25_38 ),
inference(avatar_split_clause,[],[f150,f399,f407,f275]) ).
fof(f150,plain,
( sP1
| sP0
| p_11 ),
inference(cnf_transformation,[],[f53]) ).
fof(f410,plain,
( ~ spl25_20
| ~ spl25_39
| spl25_38 ),
inference(avatar_split_clause,[],[f151,f399,f407,f275]) ).
fof(f151,plain,
( sP1
| ~ sP0
| ~ p_11 ),
inference(cnf_transformation,[],[f53]) ).
fof(f405,plain,
( ~ spl25_37
| ~ spl25_18
| spl25_38 ),
inference(avatar_split_clause,[],[f144,f399,f263,f391]) ).
fof(f391,plain,
( spl25_37
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_37])]) ).
fof(f263,plain,
( spl25_18
<=> p_10 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f144,plain,
( sP1
| ~ p_10
| ~ sP2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( sP2
| ( ( ~ sP1
| ~ p_10 )
& ( sP1
| p_10 ) ) )
& ( ( ( p_10
| ~ sP1 )
& ( sP1
| ~ p_10 ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f404,plain,
( ~ spl25_37
| ~ spl25_38
| spl25_18 ),
inference(avatar_split_clause,[],[f145,f263,f399,f391]) ).
fof(f145,plain,
( p_10
| ~ sP1
| ~ sP2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f403,plain,
( spl25_18
| spl25_38
| spl25_37 ),
inference(avatar_split_clause,[],[f146,f391,f399,f263]) ).
fof(f146,plain,
( sP2
| sP1
| p_10 ),
inference(cnf_transformation,[],[f52]) ).
fof(f402,plain,
( ~ spl25_18
| ~ spl25_38
| spl25_37 ),
inference(avatar_split_clause,[],[f147,f391,f399,f263]) ).
fof(f147,plain,
( sP2
| ~ sP1
| ~ p_10 ),
inference(cnf_transformation,[],[f52]) ).
fof(f397,plain,
( ~ spl25_36
| ~ spl25_16
| spl25_37 ),
inference(avatar_split_clause,[],[f140,f391,f251,f383]) ).
fof(f383,plain,
( spl25_36
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_36])]) ).
fof(f251,plain,
( spl25_16
<=> p_9 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
fof(f140,plain,
( sP2
| ~ p_9
| ~ sP3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( sP3
| ( ( ~ sP2
| ~ p_9 )
& ( sP2
| p_9 ) ) )
& ( ( ( p_9
| ~ sP2 )
& ( sP2
| ~ p_9 ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f396,plain,
( ~ spl25_36
| ~ spl25_37
| spl25_16 ),
inference(avatar_split_clause,[],[f141,f251,f391,f383]) ).
fof(f141,plain,
( p_9
| ~ sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f395,plain,
( spl25_16
| spl25_37
| spl25_36 ),
inference(avatar_split_clause,[],[f142,f383,f391,f251]) ).
fof(f142,plain,
( sP3
| sP2
| p_9 ),
inference(cnf_transformation,[],[f51]) ).
fof(f394,plain,
( ~ spl25_16
| ~ spl25_37
| spl25_36 ),
inference(avatar_split_clause,[],[f143,f383,f391,f251]) ).
fof(f143,plain,
( sP3
| ~ sP2
| ~ p_9 ),
inference(cnf_transformation,[],[f51]) ).
fof(f389,plain,
( ~ spl25_35
| ~ spl25_14
| spl25_36 ),
inference(avatar_split_clause,[],[f136,f383,f239,f375]) ).
fof(f375,plain,
( spl25_35
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_35])]) ).
fof(f239,plain,
( spl25_14
<=> p_8 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
fof(f136,plain,
( sP3
| ~ p_8
| ~ sP4 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( sP4
| ( ( ~ sP3
| ~ p_8 )
& ( sP3
| p_8 ) ) )
& ( ( ( p_8
| ~ sP3 )
& ( sP3
| ~ p_8 ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f388,plain,
( ~ spl25_35
| ~ spl25_36
| spl25_14 ),
inference(avatar_split_clause,[],[f137,f239,f383,f375]) ).
fof(f137,plain,
( p_8
| ~ sP3
| ~ sP4 ),
inference(cnf_transformation,[],[f50]) ).
fof(f387,plain,
( spl25_14
| spl25_36
| spl25_35 ),
inference(avatar_split_clause,[],[f138,f375,f383,f239]) ).
fof(f138,plain,
( sP4
| sP3
| p_8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f386,plain,
( ~ spl25_14
| ~ spl25_36
| spl25_35 ),
inference(avatar_split_clause,[],[f139,f375,f383,f239]) ).
fof(f139,plain,
( sP4
| ~ sP3
| ~ p_8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f381,plain,
( ~ spl25_34
| ~ spl25_12
| spl25_35 ),
inference(avatar_split_clause,[],[f132,f375,f227,f367]) ).
fof(f367,plain,
( spl25_34
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_34])]) ).
fof(f227,plain,
( spl25_12
<=> p_7 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f132,plain,
( sP4
| ~ p_7
| ~ sP5 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( sP5
| ( ( ~ sP4
| ~ p_7 )
& ( sP4
| p_7 ) ) )
& ( ( ( p_7
| ~ sP4 )
& ( sP4
| ~ p_7 ) )
| ~ sP5 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f380,plain,
( ~ spl25_34
| ~ spl25_35
| spl25_12 ),
inference(avatar_split_clause,[],[f133,f227,f375,f367]) ).
fof(f133,plain,
( p_7
| ~ sP4
| ~ sP5 ),
inference(cnf_transformation,[],[f49]) ).
fof(f379,plain,
( spl25_12
| spl25_35
| spl25_34 ),
inference(avatar_split_clause,[],[f134,f367,f375,f227]) ).
fof(f134,plain,
( sP5
| sP4
| p_7 ),
inference(cnf_transformation,[],[f49]) ).
fof(f378,plain,
( ~ spl25_12
| ~ spl25_35
| spl25_34 ),
inference(avatar_split_clause,[],[f135,f367,f375,f227]) ).
fof(f135,plain,
( sP5
| ~ sP4
| ~ p_7 ),
inference(cnf_transformation,[],[f49]) ).
fof(f373,plain,
( ~ spl25_33
| ~ spl25_10
| spl25_34 ),
inference(avatar_split_clause,[],[f128,f367,f215,f359]) ).
fof(f359,plain,
( spl25_33
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).
fof(f215,plain,
( spl25_10
<=> p_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f128,plain,
( sP5
| ~ p_6
| ~ sP6 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( sP6
| ( ( ~ sP5
| ~ p_6 )
& ( sP5
| p_6 ) ) )
& ( ( ( p_6
| ~ sP5 )
& ( sP5
| ~ p_6 ) )
| ~ sP6 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f372,plain,
( ~ spl25_33
| ~ spl25_34
| spl25_10 ),
inference(avatar_split_clause,[],[f129,f215,f367,f359]) ).
fof(f129,plain,
( p_6
| ~ sP5
| ~ sP6 ),
inference(cnf_transformation,[],[f48]) ).
fof(f371,plain,
( spl25_10
| spl25_34
| spl25_33 ),
inference(avatar_split_clause,[],[f130,f359,f367,f215]) ).
fof(f130,plain,
( sP6
| sP5
| p_6 ),
inference(cnf_transformation,[],[f48]) ).
fof(f370,plain,
( ~ spl25_10
| ~ spl25_34
| spl25_33 ),
inference(avatar_split_clause,[],[f131,f359,f367,f215]) ).
fof(f131,plain,
( sP6
| ~ sP5
| ~ p_6 ),
inference(cnf_transformation,[],[f48]) ).
fof(f365,plain,
( ~ spl25_32
| ~ spl25_8
| spl25_33 ),
inference(avatar_split_clause,[],[f124,f359,f203,f351]) ).
fof(f351,plain,
( spl25_32
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_32])]) ).
fof(f203,plain,
( spl25_8
<=> p_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f124,plain,
( sP6
| ~ p_5
| ~ sP7 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( sP7
| ( ( ~ sP6
| ~ p_5 )
& ( sP6
| p_5 ) ) )
& ( ( ( p_5
| ~ sP6 )
& ( sP6
| ~ p_5 ) )
| ~ sP7 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f364,plain,
( ~ spl25_32
| ~ spl25_33
| spl25_8 ),
inference(avatar_split_clause,[],[f125,f203,f359,f351]) ).
fof(f125,plain,
( p_5
| ~ sP6
| ~ sP7 ),
inference(cnf_transformation,[],[f47]) ).
fof(f363,plain,
( spl25_8
| spl25_33
| spl25_32 ),
inference(avatar_split_clause,[],[f126,f351,f359,f203]) ).
fof(f126,plain,
( sP7
| sP6
| p_5 ),
inference(cnf_transformation,[],[f47]) ).
fof(f362,plain,
( ~ spl25_8
| ~ spl25_33
| spl25_32 ),
inference(avatar_split_clause,[],[f127,f351,f359,f203]) ).
fof(f127,plain,
( sP7
| ~ sP6
| ~ p_5 ),
inference(cnf_transformation,[],[f47]) ).
fof(f357,plain,
( ~ spl25_31
| ~ spl25_6
| spl25_32 ),
inference(avatar_split_clause,[],[f120,f351,f191,f343]) ).
fof(f343,plain,
( spl25_31
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_31])]) ).
fof(f191,plain,
( spl25_6
<=> p_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f120,plain,
( sP7
| ~ p_4
| ~ sP8 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( sP8
| ( ( ~ sP7
| ~ p_4 )
& ( sP7
| p_4 ) ) )
& ( ( ( p_4
| ~ sP7 )
& ( sP7
| ~ p_4 ) )
| ~ sP8 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f356,plain,
( ~ spl25_31
| ~ spl25_32
| spl25_6 ),
inference(avatar_split_clause,[],[f121,f191,f351,f343]) ).
fof(f121,plain,
( p_4
| ~ sP7
| ~ sP8 ),
inference(cnf_transformation,[],[f46]) ).
fof(f355,plain,
( spl25_6
| spl25_32
| spl25_31 ),
inference(avatar_split_clause,[],[f122,f343,f351,f191]) ).
fof(f122,plain,
( sP8
| sP7
| p_4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f354,plain,
( ~ spl25_6
| ~ spl25_32
| spl25_31 ),
inference(avatar_split_clause,[],[f123,f343,f351,f191]) ).
fof(f123,plain,
( sP8
| ~ sP7
| ~ p_4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f349,plain,
( ~ spl25_30
| ~ spl25_4
| spl25_31 ),
inference(avatar_split_clause,[],[f116,f343,f179,f335]) ).
fof(f335,plain,
( spl25_30
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).
fof(f179,plain,
( spl25_4
<=> p_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f116,plain,
( sP8
| ~ p_3
| ~ sP9 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( sP9
| ( ( ~ sP8
| ~ p_3 )
& ( sP8
| p_3 ) ) )
& ( ( ( p_3
| ~ sP8 )
& ( sP8
| ~ p_3 ) )
| ~ sP9 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f348,plain,
( ~ spl25_30
| ~ spl25_31
| spl25_4 ),
inference(avatar_split_clause,[],[f117,f179,f343,f335]) ).
fof(f117,plain,
( p_3
| ~ sP8
| ~ sP9 ),
inference(cnf_transformation,[],[f45]) ).
fof(f347,plain,
( spl25_4
| spl25_31
| spl25_30 ),
inference(avatar_split_clause,[],[f118,f335,f343,f179]) ).
fof(f118,plain,
( sP9
| sP8
| p_3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f346,plain,
( ~ spl25_4
| ~ spl25_31
| spl25_30 ),
inference(avatar_split_clause,[],[f119,f335,f343,f179]) ).
fof(f119,plain,
( sP9
| ~ sP8
| ~ p_3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f341,plain,
( ~ spl25_29
| ~ spl25_1
| spl25_30 ),
inference(avatar_split_clause,[],[f112,f335,f163,f327]) ).
fof(f327,plain,
( spl25_29
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_29])]) ).
fof(f163,plain,
( spl25_1
<=> p_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f112,plain,
( sP9
| ~ p_2
| ~ sP10 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( sP10
| ( ( ~ sP9
| ~ p_2 )
& ( sP9
| p_2 ) ) )
& ( ( ( p_2
| ~ sP9 )
& ( sP9
| ~ p_2 ) )
| ~ sP10 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f340,plain,
( ~ spl25_29
| ~ spl25_30
| spl25_1 ),
inference(avatar_split_clause,[],[f113,f163,f335,f327]) ).
fof(f113,plain,
( p_2
| ~ sP9
| ~ sP10 ),
inference(cnf_transformation,[],[f44]) ).
fof(f339,plain,
( spl25_1
| spl25_30
| spl25_29 ),
inference(avatar_split_clause,[],[f114,f327,f335,f163]) ).
fof(f114,plain,
( sP10
| sP9
| p_2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f338,plain,
( ~ spl25_1
| ~ spl25_30
| spl25_29 ),
inference(avatar_split_clause,[],[f115,f327,f335,f163]) ).
fof(f115,plain,
( sP10
| ~ sP9
| ~ p_2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f333,plain,
( ~ spl25_27
| ~ spl25_28
| spl25_29 ),
inference(avatar_split_clause,[],[f108,f327,f323,f315]) ).
fof(f315,plain,
( spl25_27
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_27])]) ).
fof(f108,plain,
( sP10
| ~ p_1
| ~ sP11 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP11
| ( ( ~ sP10
| ~ p_1 )
& ( sP10
| p_1 ) ) )
& ( ( ( p_1
| ~ sP10 )
& ( sP10
| ~ p_1 ) )
| ~ sP11 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f332,plain,
( ~ spl25_27
| ~ spl25_29
| spl25_28 ),
inference(avatar_split_clause,[],[f109,f323,f327,f315]) ).
fof(f109,plain,
( p_1
| ~ sP10
| ~ sP11 ),
inference(cnf_transformation,[],[f43]) ).
fof(f331,plain,
( spl25_28
| spl25_29
| spl25_27 ),
inference(avatar_split_clause,[],[f110,f315,f327,f323]) ).
fof(f110,plain,
( sP11
| sP10
| p_1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f330,plain,
( ~ spl25_28
| ~ spl25_29
| spl25_27 ),
inference(avatar_split_clause,[],[f111,f315,f327,f323]) ).
fof(f111,plain,
( sP11
| ~ sP10
| ~ p_1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f321,plain,
( ~ spl25_25
| ~ spl25_26
| spl25_27 ),
inference(avatar_split_clause,[],[f104,f315,f311,f303]) ).
fof(f303,plain,
( spl25_25
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).
fof(f104,plain,
( sP11
| ~ p_14
| ~ sP12 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( sP12
| ( ( ~ sP11
| ~ p_14 )
& ( sP11
| p_14 ) ) )
& ( ( ( p_14
| ~ sP11 )
& ( sP11
| ~ p_14 ) )
| ~ sP12 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f320,plain,
( ~ spl25_25
| ~ spl25_27
| spl25_26 ),
inference(avatar_split_clause,[],[f105,f311,f315,f303]) ).
fof(f105,plain,
( p_14
| ~ sP11
| ~ sP12 ),
inference(cnf_transformation,[],[f42]) ).
fof(f319,plain,
( spl25_26
| spl25_27
| spl25_25 ),
inference(avatar_split_clause,[],[f106,f303,f315,f311]) ).
fof(f106,plain,
( sP12
| sP11
| p_14 ),
inference(cnf_transformation,[],[f42]) ).
fof(f318,plain,
( ~ spl25_26
| ~ spl25_27
| spl25_25 ),
inference(avatar_split_clause,[],[f107,f303,f315,f311]) ).
fof(f107,plain,
( sP12
| ~ sP11
| ~ p_14 ),
inference(cnf_transformation,[],[f42]) ).
fof(f309,plain,
( ~ spl25_23
| ~ spl25_24
| spl25_25 ),
inference(avatar_split_clause,[],[f100,f303,f299,f291]) ).
fof(f291,plain,
( spl25_23
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
fof(f100,plain,
( sP12
| ~ p_13
| ~ sP13 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( sP13
| ( ( ~ sP12
| ~ p_13 )
& ( sP12
| p_13 ) ) )
& ( ( ( p_13
| ~ sP12 )
& ( sP12
| ~ p_13 ) )
| ~ sP13 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f308,plain,
( ~ spl25_23
| ~ spl25_25
| spl25_24 ),
inference(avatar_split_clause,[],[f101,f299,f303,f291]) ).
fof(f101,plain,
( p_13
| ~ sP12
| ~ sP13 ),
inference(cnf_transformation,[],[f41]) ).
fof(f307,plain,
( spl25_24
| spl25_25
| spl25_23 ),
inference(avatar_split_clause,[],[f102,f291,f303,f299]) ).
fof(f102,plain,
( sP13
| sP12
| p_13 ),
inference(cnf_transformation,[],[f41]) ).
fof(f306,plain,
( ~ spl25_24
| ~ spl25_25
| spl25_23 ),
inference(avatar_split_clause,[],[f103,f291,f303,f299]) ).
fof(f103,plain,
( sP13
| ~ sP12
| ~ p_13 ),
inference(cnf_transformation,[],[f41]) ).
fof(f297,plain,
( ~ spl25_21
| ~ spl25_22
| spl25_23 ),
inference(avatar_split_clause,[],[f96,f291,f287,f279]) ).
fof(f279,plain,
( spl25_21
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
fof(f96,plain,
( sP13
| ~ p_12
| ~ sP14 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( sP14
| ( ( ~ sP13
| ~ p_12 )
& ( sP13
| p_12 ) ) )
& ( ( ( p_12
| ~ sP13 )
& ( sP13
| ~ p_12 ) )
| ~ sP14 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f296,plain,
( ~ spl25_21
| ~ spl25_23
| spl25_22 ),
inference(avatar_split_clause,[],[f97,f287,f291,f279]) ).
fof(f97,plain,
( p_12
| ~ sP13
| ~ sP14 ),
inference(cnf_transformation,[],[f40]) ).
fof(f295,plain,
( spl25_22
| spl25_23
| spl25_21 ),
inference(avatar_split_clause,[],[f98,f279,f291,f287]) ).
fof(f98,plain,
( sP14
| sP13
| p_12 ),
inference(cnf_transformation,[],[f40]) ).
fof(f294,plain,
( ~ spl25_22
| ~ spl25_23
| spl25_21 ),
inference(avatar_split_clause,[],[f99,f279,f291,f287]) ).
fof(f99,plain,
( sP14
| ~ sP13
| ~ p_12 ),
inference(cnf_transformation,[],[f40]) ).
fof(f285,plain,
( ~ spl25_19
| ~ spl25_20
| spl25_21 ),
inference(avatar_split_clause,[],[f92,f279,f275,f267]) ).
fof(f267,plain,
( spl25_19
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).
fof(f92,plain,
( sP14
| ~ p_11
| ~ sP15 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( sP15
| ( ( ~ sP14
| ~ p_11 )
& ( sP14
| p_11 ) ) )
& ( ( ( p_11
| ~ sP14 )
& ( sP14
| ~ p_11 ) )
| ~ sP15 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f284,plain,
( ~ spl25_19
| ~ spl25_21
| spl25_20 ),
inference(avatar_split_clause,[],[f93,f275,f279,f267]) ).
fof(f93,plain,
( p_11
| ~ sP14
| ~ sP15 ),
inference(cnf_transformation,[],[f39]) ).
fof(f283,plain,
( spl25_20
| spl25_21
| spl25_19 ),
inference(avatar_split_clause,[],[f94,f267,f279,f275]) ).
fof(f94,plain,
( sP15
| sP14
| p_11 ),
inference(cnf_transformation,[],[f39]) ).
fof(f282,plain,
( ~ spl25_20
| ~ spl25_21
| spl25_19 ),
inference(avatar_split_clause,[],[f95,f267,f279,f275]) ).
fof(f95,plain,
( sP15
| ~ sP14
| ~ p_11 ),
inference(cnf_transformation,[],[f39]) ).
fof(f273,plain,
( ~ spl25_17
| ~ spl25_18
| spl25_19 ),
inference(avatar_split_clause,[],[f88,f267,f263,f255]) ).
fof(f255,plain,
( spl25_17
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f88,plain,
( sP15
| ~ p_10
| ~ sP16 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( sP16
| ( ( ~ sP15
| ~ p_10 )
& ( sP15
| p_10 ) ) )
& ( ( ( p_10
| ~ sP15 )
& ( sP15
| ~ p_10 ) )
| ~ sP16 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f272,plain,
( ~ spl25_17
| ~ spl25_19
| spl25_18 ),
inference(avatar_split_clause,[],[f89,f263,f267,f255]) ).
fof(f89,plain,
( p_10
| ~ sP15
| ~ sP16 ),
inference(cnf_transformation,[],[f38]) ).
fof(f271,plain,
( spl25_18
| spl25_19
| spl25_17 ),
inference(avatar_split_clause,[],[f90,f255,f267,f263]) ).
fof(f90,plain,
( sP16
| sP15
| p_10 ),
inference(cnf_transformation,[],[f38]) ).
fof(f270,plain,
( ~ spl25_18
| ~ spl25_19
| spl25_17 ),
inference(avatar_split_clause,[],[f91,f255,f267,f263]) ).
fof(f91,plain,
( sP16
| ~ sP15
| ~ p_10 ),
inference(cnf_transformation,[],[f38]) ).
fof(f261,plain,
( ~ spl25_15
| ~ spl25_16
| spl25_17 ),
inference(avatar_split_clause,[],[f84,f255,f251,f243]) ).
fof(f243,plain,
( spl25_15
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f84,plain,
( sP16
| ~ p_9
| ~ sP17 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( sP17
| ( ( ~ sP16
| ~ p_9 )
& ( sP16
| p_9 ) ) )
& ( ( ( p_9
| ~ sP16 )
& ( sP16
| ~ p_9 ) )
| ~ sP17 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f260,plain,
( ~ spl25_15
| ~ spl25_17
| spl25_16 ),
inference(avatar_split_clause,[],[f85,f251,f255,f243]) ).
fof(f85,plain,
( p_9
| ~ sP16
| ~ sP17 ),
inference(cnf_transformation,[],[f37]) ).
fof(f259,plain,
( spl25_16
| spl25_17
| spl25_15 ),
inference(avatar_split_clause,[],[f86,f243,f255,f251]) ).
fof(f86,plain,
( sP17
| sP16
| p_9 ),
inference(cnf_transformation,[],[f37]) ).
fof(f258,plain,
( ~ spl25_16
| ~ spl25_17
| spl25_15 ),
inference(avatar_split_clause,[],[f87,f243,f255,f251]) ).
fof(f87,plain,
( sP17
| ~ sP16
| ~ p_9 ),
inference(cnf_transformation,[],[f37]) ).
fof(f249,plain,
( ~ spl25_13
| ~ spl25_14
| spl25_15 ),
inference(avatar_split_clause,[],[f80,f243,f239,f231]) ).
fof(f231,plain,
( spl25_13
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f80,plain,
( sP17
| ~ p_8
| ~ sP18 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( sP18
| ( ( ~ sP17
| ~ p_8 )
& ( sP17
| p_8 ) ) )
& ( ( ( p_8
| ~ sP17 )
& ( sP17
| ~ p_8 ) )
| ~ sP18 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f248,plain,
( ~ spl25_13
| ~ spl25_15
| spl25_14 ),
inference(avatar_split_clause,[],[f81,f239,f243,f231]) ).
fof(f81,plain,
( p_8
| ~ sP17
| ~ sP18 ),
inference(cnf_transformation,[],[f36]) ).
fof(f247,plain,
( spl25_14
| spl25_15
| spl25_13 ),
inference(avatar_split_clause,[],[f82,f231,f243,f239]) ).
fof(f82,plain,
( sP18
| sP17
| p_8 ),
inference(cnf_transformation,[],[f36]) ).
fof(f246,plain,
( ~ spl25_14
| ~ spl25_15
| spl25_13 ),
inference(avatar_split_clause,[],[f83,f231,f243,f239]) ).
fof(f83,plain,
( sP18
| ~ sP17
| ~ p_8 ),
inference(cnf_transformation,[],[f36]) ).
fof(f237,plain,
( ~ spl25_11
| ~ spl25_12
| spl25_13 ),
inference(avatar_split_clause,[],[f76,f231,f227,f219]) ).
fof(f219,plain,
( spl25_11
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f76,plain,
( sP18
| ~ p_7
| ~ sP19 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( sP19
| ( ( ~ sP18
| ~ p_7 )
& ( sP18
| p_7 ) ) )
& ( ( ( p_7
| ~ sP18 )
& ( sP18
| ~ p_7 ) )
| ~ sP19 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f236,plain,
( ~ spl25_11
| ~ spl25_13
| spl25_12 ),
inference(avatar_split_clause,[],[f77,f227,f231,f219]) ).
fof(f77,plain,
( p_7
| ~ sP18
| ~ sP19 ),
inference(cnf_transformation,[],[f35]) ).
fof(f235,plain,
( spl25_12
| spl25_13
| spl25_11 ),
inference(avatar_split_clause,[],[f78,f219,f231,f227]) ).
fof(f78,plain,
( sP19
| sP18
| p_7 ),
inference(cnf_transformation,[],[f35]) ).
fof(f234,plain,
( ~ spl25_12
| ~ spl25_13
| spl25_11 ),
inference(avatar_split_clause,[],[f79,f219,f231,f227]) ).
fof(f79,plain,
( sP19
| ~ sP18
| ~ p_7 ),
inference(cnf_transformation,[],[f35]) ).
fof(f225,plain,
( ~ spl25_9
| ~ spl25_10
| spl25_11 ),
inference(avatar_split_clause,[],[f72,f219,f215,f207]) ).
fof(f207,plain,
( spl25_9
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f72,plain,
( sP19
| ~ p_6
| ~ sP20 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( sP20
| ( ( ~ sP19
| ~ p_6 )
& ( sP19
| p_6 ) ) )
& ( ( ( p_6
| ~ sP19 )
& ( sP19
| ~ p_6 ) )
| ~ sP20 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f224,plain,
( ~ spl25_9
| ~ spl25_11
| spl25_10 ),
inference(avatar_split_clause,[],[f73,f215,f219,f207]) ).
fof(f73,plain,
( p_6
| ~ sP19
| ~ sP20 ),
inference(cnf_transformation,[],[f34]) ).
fof(f223,plain,
( spl25_10
| spl25_11
| spl25_9 ),
inference(avatar_split_clause,[],[f74,f207,f219,f215]) ).
fof(f74,plain,
( sP20
| sP19
| p_6 ),
inference(cnf_transformation,[],[f34]) ).
fof(f222,plain,
( ~ spl25_10
| ~ spl25_11
| spl25_9 ),
inference(avatar_split_clause,[],[f75,f207,f219,f215]) ).
fof(f75,plain,
( sP20
| ~ sP19
| ~ p_6 ),
inference(cnf_transformation,[],[f34]) ).
fof(f213,plain,
( ~ spl25_7
| ~ spl25_8
| spl25_9 ),
inference(avatar_split_clause,[],[f68,f207,f203,f195]) ).
fof(f195,plain,
( spl25_7
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f68,plain,
( sP20
| ~ p_5
| ~ sP21 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( sP21
| ( ( ~ sP20
| ~ p_5 )
& ( sP20
| p_5 ) ) )
& ( ( ( p_5
| ~ sP20 )
& ( sP20
| ~ p_5 ) )
| ~ sP21 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f212,plain,
( ~ spl25_7
| ~ spl25_9
| spl25_8 ),
inference(avatar_split_clause,[],[f69,f203,f207,f195]) ).
fof(f69,plain,
( p_5
| ~ sP20
| ~ sP21 ),
inference(cnf_transformation,[],[f33]) ).
fof(f211,plain,
( spl25_8
| spl25_9
| spl25_7 ),
inference(avatar_split_clause,[],[f70,f195,f207,f203]) ).
fof(f70,plain,
( sP21
| sP20
| p_5 ),
inference(cnf_transformation,[],[f33]) ).
fof(f210,plain,
( ~ spl25_8
| ~ spl25_9
| spl25_7 ),
inference(avatar_split_clause,[],[f71,f195,f207,f203]) ).
fof(f71,plain,
( sP21
| ~ sP20
| ~ p_5 ),
inference(cnf_transformation,[],[f33]) ).
fof(f201,plain,
( ~ spl25_5
| ~ spl25_6
| spl25_7 ),
inference(avatar_split_clause,[],[f64,f195,f191,f183]) ).
fof(f183,plain,
( spl25_5
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f64,plain,
( sP21
| ~ p_4
| ~ sP22 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( sP22
| ( ( ~ sP21
| ~ p_4 )
& ( sP21
| p_4 ) ) )
& ( ( ( p_4
| ~ sP21 )
& ( sP21
| ~ p_4 ) )
| ~ sP22 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f200,plain,
( ~ spl25_5
| ~ spl25_7
| spl25_6 ),
inference(avatar_split_clause,[],[f65,f191,f195,f183]) ).
fof(f65,plain,
( p_4
| ~ sP21
| ~ sP22 ),
inference(cnf_transformation,[],[f32]) ).
fof(f199,plain,
( spl25_6
| spl25_7
| spl25_5 ),
inference(avatar_split_clause,[],[f66,f183,f195,f191]) ).
fof(f66,plain,
( sP22
| sP21
| p_4 ),
inference(cnf_transformation,[],[f32]) ).
fof(f198,plain,
( ~ spl25_6
| ~ spl25_7
| spl25_5 ),
inference(avatar_split_clause,[],[f67,f183,f195,f191]) ).
fof(f67,plain,
( sP22
| ~ sP21
| ~ p_4 ),
inference(cnf_transformation,[],[f32]) ).
fof(f189,plain,
( ~ spl25_2
| ~ spl25_4
| spl25_5 ),
inference(avatar_split_clause,[],[f60,f183,f179,f167]) ).
fof(f167,plain,
( spl25_2
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f60,plain,
( sP22
| ~ p_3
| ~ sP23 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( sP23
| ( ( ~ sP22
| ~ p_3 )
& ( sP22
| p_3 ) ) )
& ( ( ( p_3
| ~ sP22 )
& ( sP22
| ~ p_3 ) )
| ~ sP23 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f188,plain,
( ~ spl25_2
| ~ spl25_5
| spl25_4 ),
inference(avatar_split_clause,[],[f61,f179,f183,f167]) ).
fof(f61,plain,
( p_3
| ~ sP22
| ~ sP23 ),
inference(cnf_transformation,[],[f31]) ).
fof(f187,plain,
( spl25_4
| spl25_5
| spl25_2 ),
inference(avatar_split_clause,[],[f62,f167,f183,f179]) ).
fof(f62,plain,
( sP23
| sP22
| p_3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f186,plain,
( ~ spl25_4
| ~ spl25_5
| spl25_2 ),
inference(avatar_split_clause,[],[f63,f167,f183,f179]) ).
fof(f63,plain,
( sP23
| ~ sP22
| ~ p_3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f177,plain,
( ~ spl25_3
| ~ spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f56,f167,f163,f171]) ).
fof(f56,plain,
( sP23
| ~ p_2
| ~ sP24 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( sP24
| ( ( ~ sP23
| ~ p_2 )
& ( sP23
| p_2 ) ) )
& ( ( ( p_2
| ~ sP23 )
& ( sP23
| ~ p_2 ) )
| ~ sP24 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f176,plain,
( ~ spl25_3
| ~ spl25_2
| spl25_1 ),
inference(avatar_split_clause,[],[f57,f163,f167,f171]) ).
fof(f57,plain,
( p_2
| ~ sP23
| ~ sP24 ),
inference(cnf_transformation,[],[f30]) ).
fof(f175,plain,
( spl25_1
| spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f58,f171,f167,f163]) ).
fof(f58,plain,
( sP24
| sP23
| p_2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f174,plain,
( ~ spl25_1
| ~ spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f59,f171,f167,f163]) ).
fof(f59,plain,
( sP24
| ~ sP23
| ~ p_2 ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n004.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 17:43:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (24544)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (24550)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (24548)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (24551)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 The problem is propositional so there are no sorts!
% 0.16/0.39 % (24550)First to succeed.
% 0.16/0.39 TRYING []
% 0.16/0.39 The problem is propositional so there are no sorts!
% 0.16/0.39 TRYING []
% 0.16/0.39 % (24548)Also succeeded, but the first one will report.
% 0.16/0.39 % (24551)Also succeeded, but the first one will report.
% 0.16/0.39 % (24545)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (24549)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 The problem is propositional so there are no sorts!
% 0.16/0.39 TRYING []
% 0.16/0.39 % (24550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24544"
% 0.16/0.39 % (24550)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (24550)------------------------------
% 0.16/0.40 % (24550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (24550)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (24550)Memory used [KB]: 960
% 0.16/0.40 % (24550)Time elapsed: 0.008 s
% 0.16/0.40 % (24550)Instructions burned: 15 (million)
% 0.16/0.40 % (24544)Success in time 0.017 s
%------------------------------------------------------------------------------