TSTP Solution File: SYN007+1.014 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 19:36:32 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 63
% Syntax : Number of formulae : 312 ( 1 unt; 0 def)
% Number of atoms : 1237 ( 0 equ)
% Maximal formula atoms : 46 ( 3 avg)
% Number of connectives : 1426 ( 501 ~; 670 |; 85 &)
% ( 168 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 77 ( 76 usr; 77 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f426,plain,
$false,
inference(avatar_sat_refutation,[],[f176,f177,f186,f199,f208,f209,f222,f235,f248,f249,f254,f255,f264,f265,f274,f283,f284,f285,f290,f291,f292,f293,f302,f311,f312,f313,f314,f319,f320,f325,f330,f331,f336,f337,f338,f339,f340,f345,f346,f347,f348,f349,f350,f355,f356,f357,f358,f359,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f376,f377,f378,f379,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f425]) ).
fof(f425,plain,
( ~ spl24_21
| ~ spl24_28
| spl24_32 ),
inference(avatar_split_clause,[],[f113,f316,f295,f257]) ).
fof(f257,plain,
( spl24_21
<=> p_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).
fof(f295,plain,
( spl24_28
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f316,plain,
( spl24_32
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).
fof(f113,plain,
( sP9
| ~ sP8
| ~ p_2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP9
| ( ( ~ sP8
| ~ p_2 )
& ( sP8
| p_2 ) ) )
& ( ( ( p_2
| ~ sP8 )
& ( sP8
| ~ p_2 ) )
| ~ sP9 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( sP9
<=> ( p_2
<=> sP8 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f424,plain,
( spl24_13
| spl24_20
| spl24_2 ),
inference(avatar_split_clause,[],[f96,f169,f251,f219]) ).
fof(f219,plain,
( spl24_13
<=> p_12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f251,plain,
( spl24_20
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f169,plain,
( spl24_2
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f96,plain,
( sP12
| sP13
| p_12 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( sP13
| ( ( ~ sP12
| ~ p_12 )
& ( sP12
| p_12 ) ) )
& ( ( ( p_12
| ~ sP12 )
& ( sP12
| ~ p_12 ) )
| ~ sP13 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( sP13
<=> ( p_12
<=> sP12 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f423,plain,
( ~ spl24_16
| spl24_25
| ~ spl24_26 ),
inference(avatar_split_clause,[],[f69,f280,f276,f232]) ).
fof(f232,plain,
( spl24_16
<=> p_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f276,plain,
( spl24_25
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f280,plain,
( spl24_26
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).
fof(f69,plain,
( ~ sP19
| sP20
| ~ p_5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( sP20
| ( ( ~ p_5
| ~ sP19 )
& ( p_5
| sP19 ) ) )
& ( ( ( sP19
| ~ p_5 )
& ( p_5
| ~ sP19 ) )
| ~ sP20 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( sP20
<=> ( sP19
<=> p_5 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f422,plain,
( spl24_19
| ~ spl24_34
| ~ spl24_26 ),
inference(avatar_split_clause,[],[f70,f280,f327,f245]) ).
fof(f245,plain,
( spl24_19
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f327,plain,
( spl24_34
<=> p_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).
fof(f70,plain,
( ~ sP19
| ~ p_6
| sP18 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( sP19
| ( ( ~ sP18
| ~ p_6 )
& ( sP18
| p_6 ) ) )
& ( ( ( p_6
| ~ sP18 )
& ( sP18
| ~ p_6 ) )
| ~ sP19 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( sP19
<=> ( p_6
<=> sP18 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f421,plain,
( spl24_34
| spl24_26
| spl24_19 ),
inference(avatar_split_clause,[],[f72,f245,f280,f327]) ).
fof(f72,plain,
( sP18
| sP19
| p_6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f420,plain,
( ~ spl24_19
| spl24_26
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f73,f327,f280,f245]) ).
fof(f73,plain,
( ~ p_6
| sP19
| ~ sP18 ),
inference(cnf_transformation,[],[f33]) ).
fof(f419,plain,
( spl24_28
| ~ spl24_32
| ~ spl24_21 ),
inference(avatar_split_clause,[],[f110,f257,f316,f295]) ).
fof(f110,plain,
( ~ p_2
| ~ sP9
| sP8 ),
inference(cnf_transformation,[],[f43]) ).
fof(f418,plain,
( ~ spl24_35
| ~ spl24_23
| spl24_25 ),
inference(avatar_split_clause,[],[f63,f276,f267,f333]) ).
fof(f333,plain,
( spl24_35
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).
fof(f267,plain,
( spl24_23
<=> p_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).
fof(f63,plain,
( sP20
| ~ p_4
| ~ sP21 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( sP21
| ( ( ~ p_4
| ~ sP20 )
& ( p_4
| sP20 ) ) )
& ( ( ( sP20
| ~ p_4 )
& ( p_4
| ~ sP20 ) )
| ~ sP21 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( sP21
<=> ( sP20
<=> p_4 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f417,plain,
( spl24_12
| spl24_9
| spl24_11
| ~ spl24_13
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f156,f165,f219,f211,f201,f215]) ).
fof(f215,plain,
( spl24_12
<=> p_11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f201,plain,
( spl24_9
<=> p_14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f211,plain,
( spl24_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f165,plain,
( spl24_1
<=> p_13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f156,plain,
( ~ p_13
| ~ p_12
| sP0
| p_14
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( sP0
| ( ( ( ( ~ p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) )
& ( p_12
| ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) ) ) )
| ~ p_11 )
& ( ( ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| ~ p_12 )
& ( p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) ) )
| p_11 ) ) )
& ( ( ( p_11
| ( ( ~ p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) )
& ( p_12
| ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) ) ) ) )
& ( ( ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| ~ p_12 )
& ( p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) ) )
| ~ p_11 ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( sP0
<=> ( p_11
<=> ( ( p_13
<=> p_14 )
<=> p_12 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f416,plain,
( spl24_6
| ~ spl24_11
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f145,f322,f211,f188]) ).
fof(f188,plain,
( spl24_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f322,plain,
( spl24_33
<=> p_10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).
fof(f145,plain,
( ~ p_10
| ~ sP0
| sP1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( sP1
| ( ( ~ p_10
| ~ sP0 )
& ( p_10
| sP0 ) ) )
& ( ( ( sP0
| ~ p_10 )
& ( p_10
| ~ sP0 ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( sP1
<=> ( sP0
<=> p_10 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f415,plain,
( spl24_32
| spl24_21
| spl24_28 ),
inference(avatar_split_clause,[],[f112,f295,f257,f316]) ).
fof(f112,plain,
( sP8
| p_2
| sP9 ),
inference(cnf_transformation,[],[f43]) ).
fof(f414,plain,
( ~ spl24_18
| ~ spl24_17
| spl24_19 ),
inference(avatar_split_clause,[],[f77,f245,f237,f241]) ).
fof(f241,plain,
( spl24_18
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f237,plain,
( spl24_17
<=> p_7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f77,plain,
( sP18
| ~ p_7
| ~ sP17 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( sP18
| ( ( ~ p_7
| ~ sP17 )
& ( p_7
| sP17 ) ) )
& ( ( ( sP17
| ~ p_7 )
& ( p_7
| ~ sP17 ) )
| ~ sP18 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( sP18
<=> ( sP17
<=> p_7 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f413,plain,
( ~ spl24_38
| ~ spl24_37
| spl24_17 ),
inference(avatar_split_clause,[],[f130,f237,f352,f361]) ).
fof(f361,plain,
( spl24_38
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).
fof(f352,plain,
( spl24_37
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).
fof(f130,plain,
( p_7
| ~ sP3
| ~ sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( sP4
| ( ( ~ p_7
| ~ sP3 )
& ( p_7
| sP3 ) ) )
& ( ( ( sP3
| ~ p_7 )
& ( p_7
| ~ sP3 ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( sP4
<=> ( sP3
<=> p_7 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f412,plain,
( ~ spl24_34
| ~ spl24_38
| spl24_14 ),
inference(avatar_split_clause,[],[f129,f224,f361,f327]) ).
fof(f224,plain,
( spl24_14
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f129,plain,
( sP5
| ~ sP4
| ~ p_6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( sP5
| ( ( ~ p_6
| ~ sP4 )
& ( p_6
| sP4 ) ) )
& ( ( ( sP4
| ~ p_6 )
& ( p_6
| ~ sP4 ) )
| ~ sP5 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( sP5
<=> ( sP4
<=> p_6 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f411,plain,
( spl24_30
| spl24_18
| spl24_31 ),
inference(avatar_split_clause,[],[f80,f308,f241,f304]) ).
fof(f304,plain,
( spl24_30
<=> p_8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).
fof(f308,plain,
( spl24_31
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).
fof(f80,plain,
( sP16
| sP17
| p_8 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( sP17
| ( ( ~ p_8
| ~ sP16 )
& ( p_8
| sP16 ) ) )
& ( ( ( sP16
| ~ p_8 )
& ( p_8
| ~ sP16 ) )
| ~ sP17 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( sP17
<=> ( sP16
<=> p_8 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f410,plain,
( ~ spl24_24
| spl24_15
| ~ spl24_23 ),
inference(avatar_split_clause,[],[f118,f267,f228,f271]) ).
fof(f271,plain,
( spl24_24
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).
fof(f228,plain,
( spl24_15
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).
fof(f118,plain,
( ~ p_4
| sP6
| ~ sP7 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( sP7
| ( ( ~ sP6
| ~ p_4 )
& ( sP6
| p_4 ) ) )
& ( ( ( p_4
| ~ sP6 )
& ( sP6
| ~ p_4 ) )
| ~ sP7 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( sP7
<=> ( p_4
<=> sP6 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f409,plain,
( ~ spl24_10
| spl24_9
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f102,f173,f201,f205]) ).
fof(f205,plain,
( spl24_10
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f173,plain,
( spl24_3
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f102,plain,
( ~ sP11
| p_14
| ~ sP10 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( sP11
| ( ( ~ p_14
| ~ sP10 )
& ( p_14
| sP10 ) ) )
& ( ( ( sP10
| ~ p_14 )
& ( p_14
| ~ sP10 ) )
| ~ sP11 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( sP11
<=> ( sP10
<=> p_14 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f408,plain,
( ~ spl24_25
| ~ spl24_35
| spl24_23 ),
inference(avatar_split_clause,[],[f62,f267,f333,f276]) ).
fof(f62,plain,
( p_4
| ~ sP21
| ~ sP20 ),
inference(cnf_transformation,[],[f31]) ).
fof(f407,plain,
( spl24_36
| spl24_8
| spl24_31 ),
inference(avatar_split_clause,[],[f84,f308,f196,f342]) ).
fof(f342,plain,
( spl24_36
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).
fof(f196,plain,
( spl24_8
<=> p_9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f84,plain,
( sP16
| p_9
| sP15 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( sP16
| ( ( ~ p_9
| ~ sP15 )
& ( p_9
| sP15 ) ) )
& ( ( ( sP15
| ~ p_9 )
& ( p_9
| ~ sP15 ) )
| ~ sP16 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( sP16
<=> ( sP15
<=> p_9 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f406,plain,
( spl24_14
| ~ spl24_15
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f123,f232,f228,f224]) ).
fof(f123,plain,
( ~ p_5
| ~ sP6
| sP5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( sP6
| ( ( ~ p_5
| ~ sP5 )
& ( p_5
| sP5 ) ) )
& ( ( ( sP5
| ~ p_5 )
& ( p_5
| ~ sP5 ) )
| ~ sP6 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( sP6
<=> ( sP5
<=> p_5 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f405,plain,
( ~ spl24_12
| ~ spl24_9
| spl24_11
| ~ spl24_13
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f161,f165,f219,f211,f201,f215]) ).
fof(f161,plain,
( ~ p_13
| ~ p_12
| sP0
| ~ p_14
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f404,plain,
( ~ spl24_22
| ~ spl24_29
| spl24_35 ),
inference(avatar_split_clause,[],[f58,f333,f299,f261]) ).
fof(f261,plain,
( spl24_22
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).
fof(f299,plain,
( spl24_29
<=> p_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f58,plain,
( sP21
| ~ p_3
| ~ sP22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( sP22
| ( ( ~ sP21
| ~ p_3 )
& ( sP21
| p_3 ) ) )
& ( ( ( p_3
| ~ sP21 )
& ( sP21
| ~ p_3 ) )
| ~ sP22 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( sP22
<=> ( p_3
<=> sP21 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f403,plain,
( ~ spl24_33
| ~ spl24_36
| spl24_27 ),
inference(avatar_split_clause,[],[f86,f287,f342,f322]) ).
fof(f287,plain,
( spl24_27
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_27])]) ).
fof(f86,plain,
( sP14
| ~ sP15
| ~ p_10 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( sP15
| ( ( ~ sP14
| ~ p_10 )
& ( sP14
| p_10 ) ) )
& ( ( ( p_10
| ~ sP14 )
& ( sP14
| ~ p_10 ) )
| ~ sP15 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( sP15
<=> ( p_10
<=> sP14 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f402,plain,
( ~ spl24_8
| spl24_31
| ~ spl24_36 ),
inference(avatar_split_clause,[],[f85,f342,f308,f196]) ).
fof(f85,plain,
( ~ sP15
| sP16
| ~ p_9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f401,plain,
( spl24_14
| spl24_38
| spl24_34 ),
inference(avatar_split_clause,[],[f128,f327,f361,f224]) ).
fof(f128,plain,
( p_6
| sP4
| sP5 ),
inference(cnf_transformation,[],[f47]) ).
fof(f400,plain,
( spl24_26
| spl24_25
| spl24_16 ),
inference(avatar_split_clause,[],[f68,f232,f276,f280]) ).
fof(f68,plain,
( p_5
| sP20
| sP19 ),
inference(cnf_transformation,[],[f32]) ).
fof(f399,plain,
( spl24_29
| spl24_35
| spl24_22 ),
inference(avatar_split_clause,[],[f60,f261,f333,f299]) ).
fof(f60,plain,
( sP22
| sP21
| p_3 ),
inference(cnf_transformation,[],[f30]) ).
fof(f398,plain,
( spl24_38
| ~ spl24_14
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f127,f327,f224,f361]) ).
fof(f127,plain,
( ~ p_6
| ~ sP5
| sP4 ),
inference(cnf_transformation,[],[f47]) ).
fof(f397,plain,
( ~ spl24_13
| ~ spl24_12
| spl24_1
| spl24_11
| spl24_9 ),
inference(avatar_split_clause,[],[f160,f201,f211,f165,f215,f219]) ).
fof(f160,plain,
( p_14
| sP0
| p_13
| ~ p_11
| ~ p_12 ),
inference(cnf_transformation,[],[f52]) ).
fof(f396,plain,
( spl24_17
| ~ spl24_19
| ~ spl24_18 ),
inference(avatar_split_clause,[],[f74,f241,f245,f237]) ).
fof(f74,plain,
( ~ sP17
| ~ sP18
| p_7 ),
inference(cnf_transformation,[],[f34]) ).
fof(f395,plain,
( ~ spl24_12
| spl24_9
| spl24_13
| ~ spl24_1
| spl24_11 ),
inference(avatar_split_clause,[],[f158,f211,f165,f219,f201,f215]) ).
fof(f158,plain,
( sP0
| ~ p_13
| p_12
| p_14
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f394,plain,
( ~ spl24_24
| ~ spl24_28
| spl24_29 ),
inference(avatar_split_clause,[],[f115,f299,f295,f271]) ).
fof(f115,plain,
( p_3
| ~ sP8
| ~ sP7 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( sP8
| ( ( ~ sP7
| ~ p_3 )
& ( sP7
| p_3 ) ) )
& ( ( ( p_3
| ~ sP7 )
& ( sP7
| ~ p_3 ) )
| ~ sP8 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( sP8
<=> ( p_3
<=> sP7 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f393,plain,
( ~ spl24_8
| spl24_36
| ~ spl24_31 ),
inference(avatar_split_clause,[],[f83,f308,f342,f196]) ).
fof(f83,plain,
( ~ sP16
| sP15
| ~ p_9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f392,plain,
( ~ spl24_28
| spl24_24
| ~ spl24_29 ),
inference(avatar_split_clause,[],[f114,f299,f271,f295]) ).
fof(f114,plain,
( ~ p_3
| sP7
| ~ sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f391,plain,
( ~ spl24_10
| ~ spl24_32
| spl24_4 ),
inference(avatar_split_clause,[],[f106,f179,f316,f205]) ).
fof(f179,plain,
( spl24_4
<=> p_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f106,plain,
( p_1
| ~ sP9
| ~ sP10 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( sP10
| ( ( ~ p_1
| ~ sP9 )
& ( p_1
| sP9 ) ) )
& ( ( ( sP9
| ~ p_1 )
& ( p_1
| ~ sP9 ) )
| ~ sP10 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( sP10
<=> ( sP9
<=> p_1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f390,plain,
( spl24_33
| spl24_36
| spl24_27 ),
inference(avatar_split_clause,[],[f88,f287,f342,f322]) ).
fof(f88,plain,
( sP14
| sP15
| p_10 ),
inference(cnf_transformation,[],[f37]) ).
fof(f389,plain,
( ~ spl24_11
| ~ spl24_1
| spl24_12
| spl24_13
| spl24_9 ),
inference(avatar_split_clause,[],[f150,f201,f219,f215,f165,f211]) ).
fof(f150,plain,
( p_14
| p_12
| p_11
| ~ p_13
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f388,plain,
( spl24_17
| spl24_37
| spl24_38 ),
inference(avatar_split_clause,[],[f132,f361,f352,f237]) ).
fof(f132,plain,
( sP4
| sP3
| p_7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f387,plain,
( ~ spl24_18
| spl24_31
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f79,f304,f308,f241]) ).
fof(f79,plain,
( ~ p_8
| sP16
| ~ sP17 ),
inference(cnf_transformation,[],[f35]) ).
fof(f386,plain,
( ~ spl24_37
| spl24_7
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f135,f304,f192,f352]) ).
fof(f192,plain,
( spl24_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f135,plain,
( ~ p_8
| sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( sP3
| ( ( ~ p_8
| ~ sP2 )
& ( p_8
| sP2 ) ) )
& ( ( ( sP2
| ~ p_8 )
& ( p_8
| ~ sP2 ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP3
<=> ( sP2
<=> p_8 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f385,plain,
( ~ spl24_17
| ~ spl24_19
| spl24_18 ),
inference(avatar_split_clause,[],[f75,f241,f245,f237]) ).
fof(f75,plain,
( sP17
| ~ sP18
| ~ p_7 ),
inference(cnf_transformation,[],[f34]) ).
fof(f384,plain,
( spl24_29
| ~ spl24_22
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f59,f333,f261,f299]) ).
fof(f59,plain,
( ~ sP21
| ~ sP22
| p_3 ),
inference(cnf_transformation,[],[f30]) ).
fof(f383,plain,
( ~ spl24_37
| ~ spl24_7
| spl24_30 ),
inference(avatar_split_clause,[],[f134,f304,f192,f352]) ).
fof(f134,plain,
( p_8
| ~ sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f382,plain,
( spl24_9
| spl24_1
| ~ spl24_13
| spl24_12
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f152,f211,f215,f219,f165,f201]) ).
fof(f152,plain,
( ~ sP0
| p_11
| ~ p_12
| p_13
| p_14 ),
inference(cnf_transformation,[],[f52]) ).
fof(f381,plain,
( spl24_8
| spl24_7
| spl24_6 ),
inference(avatar_split_clause,[],[f140,f188,f192,f196]) ).
fof(f140,plain,
( sP1
| sP2
| p_9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( sP2
| ( ( ~ p_9
| ~ sP1 )
& ( p_9
| sP1 ) ) )
& ( ( ( sP1
| ~ p_9 )
& ( p_9
| ~ sP1 ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( sP2
<=> ( sP1
<=> p_9 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f380,plain,
( spl24_21
| spl24_22
| spl24_5 ),
inference(avatar_split_clause,[],[f56,f183,f261,f257]) ).
fof(f183,plain,
( spl24_5
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f56,plain,
( sP23
| sP22
| p_2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( sP23
| ( ( ~ p_2
| ~ sP22 )
& ( p_2
| sP22 ) ) )
& ( ( ( sP22
| ~ p_2 )
& ( p_2
| ~ sP22 ) )
| ~ sP23 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( sP23
<=> ( sP22
<=> p_2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f379,plain,
( ~ spl24_12
| ~ spl24_11
| spl24_13
| ~ spl24_9
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f147,f165,f201,f219,f211,f215]) ).
fof(f147,plain,
( ~ p_13
| ~ p_14
| p_12
| ~ sP0
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f378,plain,
( ~ spl24_1
| spl24_2
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f101,f173,f169,f165]) ).
fof(f101,plain,
( ~ sP11
| sP12
| ~ p_13 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( sP12
| ( ( ~ p_13
| ~ sP11 )
& ( p_13
| sP11 ) ) )
& ( ( ( sP11
| ~ p_13 )
& ( p_13
| ~ sP11 ) )
| ~ sP12 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( sP12
<=> ( sP11
<=> p_13 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f377,plain,
( spl24_37
| ~ spl24_38
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f131,f237,f361,f352]) ).
fof(f131,plain,
( ~ p_7
| ~ sP4
| sP3 ),
inference(cnf_transformation,[],[f48]) ).
fof(f376,plain,
( spl24_34
| ~ spl24_38
| ~ spl24_14 ),
inference(avatar_split_clause,[],[f126,f224,f361,f327]) ).
fof(f126,plain,
( ~ sP5
| ~ sP4
| p_6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f375,plain,
( spl24_23
| spl24_15
| spl24_24 ),
inference(avatar_split_clause,[],[f120,f271,f228,f267]) ).
fof(f120,plain,
( sP7
| sP6
| p_4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f374,plain,
( spl24_33
| ~ spl24_11
| ~ spl24_6 ),
inference(avatar_split_clause,[],[f142,f188,f211,f322]) ).
fof(f142,plain,
( ~ sP1
| ~ sP0
| p_10 ),
inference(cnf_transformation,[],[f51]) ).
fof(f373,plain,
( spl24_11
| ~ spl24_33
| ~ spl24_6 ),
inference(avatar_split_clause,[],[f143,f188,f322,f211]) ).
fof(f143,plain,
( ~ sP1
| ~ p_10
| sP0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f372,plain,
( ~ spl24_4
| ~ spl24_32
| spl24_10 ),
inference(avatar_split_clause,[],[f109,f205,f316,f179]) ).
fof(f109,plain,
( sP10
| ~ sP9
| ~ p_1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f371,plain,
( spl24_7
| spl24_30
| spl24_37 ),
inference(avatar_split_clause,[],[f136,f352,f304,f192]) ).
fof(f136,plain,
( sP3
| p_8
| sP2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f370,plain,
( ~ spl24_1
| spl24_11
| spl24_13
| ~ spl24_9
| spl24_12 ),
inference(avatar_split_clause,[],[f155,f215,f201,f219,f211,f165]) ).
fof(f155,plain,
( p_11
| ~ p_14
| p_12
| sP0
| ~ p_13 ),
inference(cnf_transformation,[],[f52]) ).
fof(f369,plain,
( ~ spl24_11
| ~ spl24_9
| ~ spl24_13
| spl24_1
| ~ spl24_12 ),
inference(avatar_split_clause,[],[f149,f215,f165,f219,f201,f211]) ).
fof(f149,plain,
( ~ p_11
| p_13
| ~ p_12
| ~ p_14
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f368,plain,
( ~ spl24_36
| ~ spl24_27
| spl24_33 ),
inference(avatar_split_clause,[],[f87,f322,f287,f342]) ).
fof(f87,plain,
( p_10
| ~ sP14
| ~ sP15 ),
inference(cnf_transformation,[],[f37]) ).
fof(f367,plain,
( spl24_32
| spl24_4
| spl24_10 ),
inference(avatar_split_clause,[],[f108,f205,f179,f316]) ).
fof(f108,plain,
( sP10
| p_1
| sP9 ),
inference(cnf_transformation,[],[f42]) ).
fof(f366,plain,
( ~ spl24_20
| ~ spl24_2
| spl24_13 ),
inference(avatar_split_clause,[],[f95,f219,f169,f251]) ).
fof(f95,plain,
( p_12
| ~ sP12
| ~ sP13 ),
inference(cnf_transformation,[],[f39]) ).
fof(f365,plain,
( ~ spl24_24
| spl24_28
| ~ spl24_29 ),
inference(avatar_split_clause,[],[f117,f299,f295,f271]) ).
fof(f117,plain,
( ~ p_3
| sP8
| ~ sP7 ),
inference(cnf_transformation,[],[f44]) ).
fof(f364,plain,
( spl24_38
| ~ spl24_37
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f133,f237,f352,f361]) ).
fof(f133,plain,
( ~ p_7
| ~ sP3
| sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f359,plain,
( ~ spl24_28
| spl24_21
| ~ spl24_32 ),
inference(avatar_split_clause,[],[f111,f316,f257,f295]) ).
fof(f111,plain,
( ~ sP9
| p_2
| ~ sP8 ),
inference(cnf_transformation,[],[f43]) ).
fof(f358,plain,
( ~ spl24_5
| ~ spl24_21
| spl24_22 ),
inference(avatar_split_clause,[],[f55,f261,f257,f183]) ).
fof(f55,plain,
( sP22
| ~ p_2
| ~ sP23 ),
inference(cnf_transformation,[],[f29]) ).
fof(f357,plain,
( ~ spl24_30
| spl24_18
| ~ spl24_31 ),
inference(avatar_split_clause,[],[f81,f308,f241,f304]) ).
fof(f81,plain,
( ~ sP16
| sP17
| ~ p_8 ),
inference(cnf_transformation,[],[f35]) ).
fof(f356,plain,
( ~ spl24_25
| spl24_35
| ~ spl24_23 ),
inference(avatar_split_clause,[],[f65,f267,f333,f276]) ).
fof(f65,plain,
( ~ p_4
| sP21
| ~ sP20 ),
inference(cnf_transformation,[],[f31]) ).
fof(f355,plain,
( ~ spl24_30
| ~ spl24_7
| spl24_37 ),
inference(avatar_split_clause,[],[f137,f352,f192,f304]) ).
fof(f137,plain,
( sP3
| ~ sP2
| ~ p_8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f350,plain,
( ~ spl24_15
| spl24_23
| ~ spl24_24 ),
inference(avatar_split_clause,[],[f119,f271,f267,f228]) ).
fof(f119,plain,
( ~ sP7
| p_4
| ~ sP6 ),
inference(cnf_transformation,[],[f45]) ).
fof(f349,plain,
( spl24_36
| ~ spl24_27
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f89,f322,f287,f342]) ).
fof(f89,plain,
( ~ p_10
| ~ sP14
| sP15 ),
inference(cnf_transformation,[],[f37]) ).
fof(f348,plain,
( ~ spl24_12
| spl24_1
| ~ spl24_11
| spl24_13
| spl24_9 ),
inference(avatar_split_clause,[],[f146,f201,f219,f211,f165,f215]) ).
fof(f146,plain,
( p_14
| p_12
| ~ sP0
| p_13
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f347,plain,
( spl24_23
| spl24_25
| spl24_35 ),
inference(avatar_split_clause,[],[f64,f333,f276,f267]) ).
fof(f64,plain,
( sP21
| sP20
| p_4 ),
inference(cnf_transformation,[],[f31]) ).
fof(f346,plain,
( ~ spl24_9
| spl24_3
| ~ spl24_10 ),
inference(avatar_split_clause,[],[f105,f205,f173,f201]) ).
fof(f105,plain,
( ~ sP10
| sP11
| ~ p_14 ),
inference(cnf_transformation,[],[f41]) ).
fof(f345,plain,
( ~ spl24_31
| ~ spl24_36
| spl24_8 ),
inference(avatar_split_clause,[],[f82,f196,f342,f308]) ).
fof(f82,plain,
( p_9
| ~ sP15
| ~ sP16 ),
inference(cnf_transformation,[],[f36]) ).
fof(f340,plain,
( ~ spl24_16
| ~ spl24_25
| spl24_26 ),
inference(avatar_split_clause,[],[f67,f280,f276,f232]) ).
fof(f67,plain,
( sP19
| ~ sP20
| ~ p_5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f339,plain,
( ~ spl24_11
| spl24_1
| spl24_12
| ~ spl24_9
| spl24_13 ),
inference(avatar_split_clause,[],[f151,f219,f201,f215,f165,f211]) ).
fof(f151,plain,
( p_12
| ~ p_14
| p_11
| p_13
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f338,plain,
( spl24_16
| spl24_15
| spl24_14 ),
inference(avatar_split_clause,[],[f124,f224,f228,f232]) ).
fof(f124,plain,
( sP5
| sP6
| p_5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f337,plain,
( ~ spl24_3
| spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f98,f169,f165,f173]) ).
fof(f98,plain,
( ~ sP12
| p_13
| ~ sP11 ),
inference(cnf_transformation,[],[f40]) ).
fof(f336,plain,
( spl24_22
| ~ spl24_35
| ~ spl24_29 ),
inference(avatar_split_clause,[],[f61,f299,f333,f261]) ).
fof(f61,plain,
( ~ p_3
| ~ sP21
| sP22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f331,plain,
( spl24_20
| ~ spl24_12
| ~ spl24_27 ),
inference(avatar_split_clause,[],[f91,f287,f215,f251]) ).
fof(f91,plain,
( ~ sP14
| ~ p_11
| sP13 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( sP14
| ( ( ~ p_11
| ~ sP13 )
& ( p_11
| sP13 ) ) )
& ( ( ( sP13
| ~ p_11 )
& ( p_11
| ~ sP13 ) )
| ~ sP14 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( sP14
<=> ( sP13
<=> p_11 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f330,plain,
( spl24_34
| ~ spl24_19
| ~ spl24_26 ),
inference(avatar_split_clause,[],[f71,f280,f245,f327]) ).
fof(f71,plain,
( ~ sP19
| ~ sP18
| p_6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f325,plain,
( spl24_11
| spl24_6
| spl24_33 ),
inference(avatar_split_clause,[],[f144,f322,f188,f211]) ).
fof(f144,plain,
( p_10
| sP1
| sP0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f320,plain,
( ~ spl24_27
| ~ spl24_20
| spl24_12 ),
inference(avatar_split_clause,[],[f90,f215,f251,f287]) ).
fof(f90,plain,
( p_11
| ~ sP13
| ~ sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f319,plain,
( ~ spl24_10
| ~ spl24_4
| spl24_32 ),
inference(avatar_split_clause,[],[f107,f316,f179,f205]) ).
fof(f107,plain,
( sP9
| ~ p_1
| ~ sP10 ),
inference(cnf_transformation,[],[f42]) ).
fof(f314,plain,
( ~ spl24_13
| ~ spl24_2
| spl24_20 ),
inference(avatar_split_clause,[],[f97,f251,f169,f219]) ).
fof(f97,plain,
( sP13
| ~ sP12
| ~ p_12 ),
inference(cnf_transformation,[],[f39]) ).
fof(f313,plain,
( ~ spl24_5
| ~ spl24_22
| spl24_21 ),
inference(avatar_split_clause,[],[f54,f257,f261,f183]) ).
fof(f54,plain,
( p_2
| ~ sP22
| ~ sP23 ),
inference(cnf_transformation,[],[f29]) ).
fof(f312,plain,
( ~ spl24_11
| ~ spl24_13
| ~ spl24_9
| spl24_12
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f153,f165,f215,f201,f219,f211]) ).
fof(f153,plain,
( ~ p_13
| p_11
| ~ p_14
| ~ p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f311,plain,
( ~ spl24_18
| spl24_30
| ~ spl24_31 ),
inference(avatar_split_clause,[],[f78,f308,f304,f241]) ).
fof(f78,plain,
( ~ sP16
| p_8
| ~ sP17 ),
inference(cnf_transformation,[],[f35]) ).
fof(f302,plain,
( spl24_24
| spl24_28
| spl24_29 ),
inference(avatar_split_clause,[],[f116,f299,f295,f271]) ).
fof(f116,plain,
( p_3
| sP8
| sP7 ),
inference(cnf_transformation,[],[f44]) ).
fof(f293,plain,
( ~ spl24_13
| spl24_11
| spl24_1
| spl24_12
| ~ spl24_9 ),
inference(avatar_split_clause,[],[f157,f201,f215,f165,f211,f219]) ).
fof(f157,plain,
( ~ p_14
| p_11
| p_13
| sP0
| ~ p_12 ),
inference(cnf_transformation,[],[f52]) ).
fof(f292,plain,
( spl24_27
| spl24_20
| spl24_12 ),
inference(avatar_split_clause,[],[f92,f215,f251,f287]) ).
fof(f92,plain,
( p_11
| sP13
| sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f291,plain,
( spl24_12
| spl24_11
| spl24_9
| spl24_13
| spl24_1 ),
inference(avatar_split_clause,[],[f154,f165,f219,f201,f211,f215]) ).
fof(f154,plain,
( p_13
| p_12
| p_14
| sP0
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f290,plain,
( ~ spl24_20
| spl24_27
| ~ spl24_12 ),
inference(avatar_split_clause,[],[f93,f215,f287,f251]) ).
fof(f93,plain,
( ~ p_11
| sP14
| ~ sP13 ),
inference(cnf_transformation,[],[f38]) ).
fof(f285,plain,
( ~ spl24_15
| ~ spl24_14
| spl24_16 ),
inference(avatar_split_clause,[],[f122,f232,f224,f228]) ).
fof(f122,plain,
( p_5
| ~ sP5
| ~ sP6 ),
inference(cnf_transformation,[],[f46]) ).
fof(f284,plain,
( spl24_5
| spl24_4 ),
inference(avatar_split_clause,[],[f162,f179,f183]) ).
fof(f162,plain,
( p_1
| sP23 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( ~ sP23
| ~ p_1 )
& ( sP23
| p_1 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( p_1
<~> sP23 ),
inference(definition_folding,[],[f3,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(f3,plain,
( p_1
<~> ( ( p_3
<=> ( ( ( p_6
<=> ( ( ( ( p_10
<=> ( ( p_12
<=> ( ( ( ( p_2
<=> ( p_3
<=> ( p_4
<=> ( ( ( ( ( ( ( p_11
<=> ( ( p_13
<=> p_14 )
<=> p_12 ) )
<=> p_10 )
<=> p_9 )
<=> p_8 )
<=> p_7 )
<=> p_6 )
<=> p_5 ) ) ) )
<=> p_1 )
<=> p_14 )
<=> p_13 ) )
<=> p_11 ) )
<=> p_9 )
<=> p_8 )
<=> p_7 ) )
<=> p_5 )
<=> p_4 ) )
<=> p_2 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( p_1
<=> ( ( p_3
<=> ( ( ( p_6
<=> ( ( ( ( p_10
<=> ( ( p_12
<=> ( ( ( ( p_2
<=> ( p_3
<=> ( p_4
<=> ( ( ( ( ( ( ( p_11
<=> ( ( p_13
<=> p_14 )
<=> p_12 ) )
<=> p_10 )
<=> p_9 )
<=> p_8 )
<=> p_7 )
<=> p_6 )
<=> p_5 ) ) ) )
<=> p_1 )
<=> p_14 )
<=> p_13 ) )
<=> p_11 ) )
<=> p_9 )
<=> p_8 )
<=> p_7 ) )
<=> p_5 )
<=> p_4 ) )
<=> p_2 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( p_1
<=> ( ( p_3
<=> ( ( ( p_6
<=> ( ( ( ( p_10
<=> ( ( p_12
<=> ( ( ( ( p_2
<=> ( p_3
<=> ( p_4
<=> ( ( ( ( ( ( ( p_11
<=> ( ( p_13
<=> p_14 )
<=> p_12 ) )
<=> p_10 )
<=> p_9 )
<=> p_8 )
<=> p_7 )
<=> p_6 )
<=> p_5 ) ) ) )
<=> p_1 )
<=> p_14 )
<=> p_13 ) )
<=> p_11 ) )
<=> p_9 )
<=> p_8 )
<=> p_7 ) )
<=> p_5 )
<=> p_4 ) )
<=> p_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f283,plain,
( ~ spl24_25
| ~ spl24_26
| spl24_16 ),
inference(avatar_split_clause,[],[f66,f232,f280,f276]) ).
fof(f66,plain,
( p_5
| ~ sP19
| ~ sP20 ),
inference(cnf_transformation,[],[f32]) ).
fof(f274,plain,
( ~ spl24_15
| ~ spl24_23
| spl24_24 ),
inference(avatar_split_clause,[],[f121,f271,f267,f228]) ).
fof(f121,plain,
( sP7
| ~ p_4
| ~ sP6 ),
inference(cnf_transformation,[],[f45]) ).
fof(f265,plain,
( spl24_8
| ~ spl24_6
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f138,f192,f188,f196]) ).
fof(f138,plain,
( ~ sP2
| ~ sP1
| p_9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f264,plain,
( ~ spl24_21
| spl24_5
| ~ spl24_22 ),
inference(avatar_split_clause,[],[f57,f261,f183,f257]) ).
fof(f57,plain,
( ~ sP22
| sP23
| ~ p_2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f255,plain,
( spl24_10
| ~ spl24_9
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f103,f173,f201,f205]) ).
fof(f103,plain,
( ~ sP11
| ~ p_14
| sP10 ),
inference(cnf_transformation,[],[f41]) ).
fof(f254,plain,
( spl24_2
| ~ spl24_13
| ~ spl24_20 ),
inference(avatar_split_clause,[],[f94,f251,f219,f169]) ).
fof(f94,plain,
( ~ sP13
| ~ p_12
| sP12 ),
inference(cnf_transformation,[],[f39]) ).
fof(f249,plain,
( spl24_1
| ~ spl24_9
| ~ spl24_12
| spl24_13
| spl24_11 ),
inference(avatar_split_clause,[],[f159,f211,f219,f215,f201,f165]) ).
fof(f159,plain,
( sP0
| p_12
| ~ p_11
| ~ p_14
| p_13 ),
inference(cnf_transformation,[],[f52]) ).
fof(f248,plain,
( spl24_17
| spl24_18
| spl24_19 ),
inference(avatar_split_clause,[],[f76,f245,f241,f237]) ).
fof(f76,plain,
( sP18
| sP17
| p_7 ),
inference(cnf_transformation,[],[f34]) ).
fof(f235,plain,
( ~ spl24_14
| spl24_15
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f125,f232,f228,f224]) ).
fof(f125,plain,
( ~ p_5
| sP6
| ~ sP5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f222,plain,
( spl24_9
| ~ spl24_11
| ~ spl24_12
| ~ spl24_13
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f148,f165,f219,f215,f211,f201]) ).
fof(f148,plain,
( ~ p_13
| ~ p_12
| ~ p_11
| ~ sP0
| p_14 ),
inference(cnf_transformation,[],[f52]) ).
fof(f209,plain,
( ~ spl24_8
| spl24_6
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f139,f192,f188,f196]) ).
fof(f139,plain,
( ~ sP2
| sP1
| ~ p_9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f208,plain,
( spl24_9
| spl24_10
| spl24_3 ),
inference(avatar_split_clause,[],[f104,f173,f205,f201]) ).
fof(f104,plain,
( sP11
| sP10
| p_14 ),
inference(cnf_transformation,[],[f41]) ).
fof(f199,plain,
( ~ spl24_6
| spl24_7
| ~ spl24_8 ),
inference(avatar_split_clause,[],[f141,f196,f192,f188]) ).
fof(f141,plain,
( ~ p_9
| sP2
| ~ sP1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f186,plain,
( ~ spl24_4
| ~ spl24_5 ),
inference(avatar_split_clause,[],[f163,f183,f179]) ).
fof(f163,plain,
( ~ sP23
| ~ p_1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f177,plain,
( ~ spl24_2
| ~ spl24_1
| spl24_3 ),
inference(avatar_split_clause,[],[f99,f173,f165,f169]) ).
fof(f99,plain,
( sP11
| ~ p_13
| ~ sP12 ),
inference(cnf_transformation,[],[f40]) ).
fof(f176,plain,
( spl24_1
| spl24_2
| spl24_3 ),
inference(avatar_split_clause,[],[f100,f173,f169,f165]) ).
fof(f100,plain,
( sP11
| sP12
| p_13 ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:30:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (23638)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.48 % (23646)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.48 % (23638)First to succeed.
% 0.20/0.49 % (23632)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49 % (23638)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.49 % (23638)------------------------------
% 0.26/0.49 % (23638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.26/0.49 % (23638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.26/0.49 % (23638)Termination reason: Refutation
% 0.26/0.49
% 0.26/0.49 % (23638)Memory used [KB]: 5628
% 0.26/0.49 % (23638)Time elapsed: 0.009 s
% 0.26/0.49 % (23638)Instructions burned: 5 (million)
% 0.26/0.49 % (23638)------------------------------
% 0.26/0.49 % (23638)------------------------------
% 0.26/0.49 % (23627)Success in time 0.144 s
%------------------------------------------------------------------------------